From c2c45df3bf87ec315b5b409fb95d0b799ecbd6c6 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 20 Oct 2026 20:14:19 +0100 Subject: [PATCH 001/131] perf(blake2): reuse packed Spongefish prefix compressions --- jolt-inlines/blake2/src/digest_adapter.rs | 35 +++++++++++++- jolt-inlines/blake2/src/exec.rs | 21 +++++--- jolt-inlines/blake2/src/lib.rs | 2 + jolt-inlines/blake2/src/sdk.rs | 57 ++++++++++++++++++++++ specs/recursion-guest.md | 58 +++++++++++++++++++---- 5 files changed, 156 insertions(+), 17 deletions(-) diff --git a/jolt-inlines/blake2/src/digest_adapter.rs b/jolt-inlines/blake2/src/digest_adapter.rs index 1d4ba6db67..d6d8cb2131 100644 --- a/jolt-inlines/blake2/src/digest_adapter.rs +++ b/jolt-inlines/blake2/src/digest_adapter.rs @@ -1,8 +1,8 @@ //! [`digest`] trait adapter over the inline Blake2b. //! //! `Digest`-generic consumers (Fiat-Shamir transcripts) get the same bytes as -//! the `blake2` crate's `Blake2b`, computed with one inline compress -//! per 128-byte block on a guest and in software on a host. +//! the `blake2` crate's `Blake2b`. Blocks use the inline on a guest +//! and software on a host; known Spongefish prefixes reuse constant states. use core::marker::PhantomData; @@ -111,4 +111,35 @@ mod tests { } } } + + #[test] + fn spongefish_prefixes_preserve_digest_parameters_and_streaming() { + for tag in 0..=3 { + for suffix_len in [0, 1, 64, 128, 129, 257] { + let mut data = vec![0; 128]; + data[127] = tag; + data.extend(input(suffix_len)); + // Every changed prefix byte must still affect the digest. + for changed_byte in 0..=128 { + if changed_byte < 128 { + data[changed_byte] ^= 0x80; + } + for split in [0, 63, 127, 128, data.len()] { + let mut ours = Blake2b::::new(); + ours.update(&data[..split]); + ours.update(&data[split..]); + assert_eq!(ours.finalize(), Blake2b512::digest(&data)); + + let mut short = Blake2b::::new(); + short.update(&data[..split]); + short.update(&data[split..]); + assert_eq!(short.finalize(), ReferenceBlake2b::::digest(&data)); + } + if changed_byte < 128 { + data[changed_byte] ^= 0x80; + } + } + } + } + } } diff --git a/jolt-inlines/blake2/src/exec.rs b/jolt-inlines/blake2/src/exec.rs index 7a29dae846..a7b99f5a62 100644 --- a/jolt-inlines/blake2/src/exec.rs +++ b/jolt-inlines/blake2/src/exec.rs @@ -1,9 +1,13 @@ use crate::{IV, SIGMA}; -pub fn execute_blake2b_compression(state: &mut [u64; 8], message_words: &[u64; 18]) { +pub const fn execute_blake2b_compression(state: &mut [u64; 8], message_words: &[u64; 18]) { let mut v = [0u64; 16]; - v[0..8].copy_from_slice(state); - v[8..16].copy_from_slice(&IV); + let mut i = 0; + while i < 8 { + v[i] = state[i]; + v[i + 8] = IV[i]; + i += 1; + } v[12] ^= message_words[16]; @@ -11,7 +15,9 @@ pub fn execute_blake2b_compression(state: &mut [u64; 8], message_words: &[u64; 1 v[14] = !v[14]; } - for s in SIGMA { + let mut round = 0; + while round < SIGMA.len() { + let s = SIGMA[round]; g( &mut v, 0, @@ -85,14 +91,17 @@ pub fn execute_blake2b_compression(state: &mut [u64; 8], message_words: &[u64; 1 message_words[s[14]], message_words[s[15]], ); + round += 1; } - for i in 0..8 { + let mut i = 0; + while i < 8 { state[i] ^= v[i] ^ v[i + 8]; + i += 1; } } -fn g(v: &mut [u64; 16], a: usize, b: usize, c: usize, d: usize, x: u64, y: u64) { +const fn g(v: &mut [u64; 16], a: usize, b: usize, c: usize, d: usize, x: u64, y: u64) { v[a] = v[a].wrapping_add(v[b]).wrapping_add(x); v[d] = (v[d] ^ v[a]).rotate_right(32); v[c] = v[c].wrapping_add(v[d]); diff --git a/jolt-inlines/blake2/src/lib.rs b/jolt-inlines/blake2/src/lib.rs index a698afc6e5..59ece8b7c4 100644 --- a/jolt-inlines/blake2/src/lib.rs +++ b/jolt-inlines/blake2/src/lib.rs @@ -14,6 +14,8 @@ pub mod digest_adapter; #[cfg(feature = "host")] pub mod exec; +#[cfg(not(feature = "host"))] +mod exec; #[cfg(feature = "host")] pub mod sequence_builder; diff --git a/jolt-inlines/blake2/src/sdk.rs b/jolt-inlines/blake2/src/sdk.rs index 01f9f16c1e..0d66777038 100644 --- a/jolt-inlines/blake2/src/sdk.rs +++ b/jolt-inlines/blake2/src/sdk.rs @@ -5,6 +5,10 @@ //! copies and fills lower to libc `memcpy`/`memset` calls that move data in //! sub-word accesses, each a multi-row sequence; the word paths below load //! and store whole aligned words. +//! +//! Known public Spongefish domain prefixes reuse precomputed compression +//! states. The high-level hasher therefore has content-dependent execution; +//! it is not a constant-time API. use crate::{ BLOCK_INPUT_SIZE_IN_BYTES, IV, MSG_BLOCK_LEN, PERSONA_SIZE_IN_BYTES, SALT_SIZE_IN_BYTES, STATE_VECTOR_LEN, @@ -16,6 +20,21 @@ const INITIAL_STATE: [u64; STATE_VECTOR_LEN] = { h[0] ^= 0x01010000 ^ (OUTPUT_SIZE as u64); h }; +// Spongefish starts each phase with 127 zero bytes and a domain byte. +// These are nonfinal blocks at counter 128, computed by the same compression +// function that executes the inline on the host. +const SPONGEFISH_PREFIX_STATES: [[u64; STATE_VECTOR_LEN]; 3] = { + let mut states = [INITIAL_STATE; 3]; + let mut tag = 0; + while tag < states.len() { + let mut block = [0; MSG_BLOCK_LEN + 2]; + block[MSG_BLOCK_LEN - 1] = (tag as u64) << 56; + block[MSG_BLOCK_LEN] = BLOCK_INPUT_SIZE_IN_BYTES as u64; + crate::exec::execute_blake2b_compression(&mut states[tag], &block); + tag += 1; + } + states +}; /// One compression input: 16 message words, the byte counter, and the final /// flag, laid out as the 18 consecutive words the inline reads. @@ -41,6 +60,12 @@ impl CompressionBlock { #[inline(always)] fn compress(&mut self, state: &mut [u64; STATE_VECTOR_LEN], is_final: bool) { + if !is_final && self.counter == BLOCK_INPUT_SIZE_IN_BYTES as u64 { + if let Some(prefix) = self.spongefish_prefix(state) { + *state = prefix; + return; + } + } self.final_flag = u64::from(is_final); // SAFETY: repr(C) lays out the 16 message words, the counter, and the // flag as exactly the 18 aligned words the inline reads. @@ -48,6 +73,30 @@ impl CompressionBlock { blake2b_compress(state.as_mut_ptr(), core::ptr::from_ref(self).cast::()); } } + + #[inline(always)] + fn spongefish_prefix( + &self, + state: &[u64; STATE_VECTOR_LEN], + ) -> Option<[u64; STATE_VECTOR_LEN]> { + let tag = match self.words[MSG_BLOCK_LEN - 1] { + 0 => 0, + 0x0100_0000_0000_0000 => 1, + 0x0200_0000_0000_0000 => 2, + _ => return None, + }; + // Inspect the packed words: a bytewise mask comparison costs more + // guest rows than the compression it saves. The complete initial + // state check excludes other digest lengths, salt and personalization. + let nonzero = self.words[..MSG_BLOCK_LEN - 1] + .iter() + .fold(0, |acc, word| acc | word); + let changed = state + .iter() + .zip(INITIAL_STATE) + .fold(0, |acc, (word, initial)| acc | (word ^ initial)); + (nonzero | changed == 0).then_some(SPONGEFISH_PREFIX_STATES[tag]) + } } const _: () = assert!(core::mem::size_of::() == (MSG_BLOCK_LEN + 2) * 8); @@ -551,6 +600,14 @@ mod params_tests { "new_with_params streaming mismatch: salt={salt:?}, persona={persona:?}, length={length}" ); } + for tag in 0..3 { + let mut input = [0; 192]; + input[127] = tag; + assert_eq!( + Blake2b::digest_with_params(salt, persona, &input), + reference_with_params(salt, persona, &input), + ); + } } } diff --git a/specs/recursion-guest.md b/specs/recursion-guest.md index d448b3a51d..2631ce36af 100644 --- a/specs/recursion-guest.md +++ b/specs/recursion-guest.md @@ -4,7 +4,7 @@ The recursion example executes Jolt's Akita verifier as a RISC-V guest: it verifies an inner Akita, field-inline proof and reports the verdict. The cost of interest is the guest's **total trace rows**, the length an outer proof of that execution would have to cover, including setup and proof decoding. The working -target is a Fibonacci inner proof below 2^26 rows; this revision is 11,924,024 +target is a Fibonacci inner proof below 2^26 rows; this revision is 11,158,718 rows above it (see [Measurements](#measurements)). This document records the mechanisms the guest uses, the trust they rely on, and where the rows go. @@ -205,10 +205,12 @@ companion; the last row traces a fresh proof at this revision. | Merge `main`: native Akita trace batching (#2012), Akita `d98400c5` (#175), fresh proof | 78,896,208 | | Akita review revisions of LayerZero-Labs/akita#186-#190 on Akita `main` `401e7972`, spongefish's own Blake2b sponge, lent-accumulator `signed_sum`, fresh proof | 79,348,402 | | Merge `main`: Akita `318c3221` (#193), unified trace rows (#1996), fallible chunked decode and live-entry residual tables, fresh proof (77,245,072 verification cycles) | 79,335,454 | -| **Merge `main`: Akita `cf95fd05` (BlockDigits dense commit, #236-#242), whole-table bytecode (#2030), fresh proof** (76,947,621 verification cycles) | **79,032,888** | +| Merge `main`: Akita `cf95fd05` (BlockDigits dense commit, #236-#242), whole-table bytecode (#2030), fresh proof (76,947,621 verification cycles) | 79,032,888 | +| **Packed-word recognition of constant BLAKE2b prefixes**, same inner proof (76,182,318 verification cycles) | **78,267,582** | The first row was rebuilt and re-measured from its archived sources and -reproduces its recorded numbers exactly. Input mode, which reads the setup +reproduces its recorded numbers exactly. At the #1911 baseline +(`125fa70aa`), input mode, which reads the setup from the guest input, accepts at 86,461,879 rows. A proof with one bit flipped in its Akita opening proof is rejected after 60,136,155 rows, inside the PCS verifier. @@ -219,14 +221,52 @@ fold (`verify_root`, 14.56M to 24.46M rows): its relation-matrix evaluation and direct setup-contribution scan run over the natively batched trace columns. The terminal checks are unchanged. -The last row's 452,194-row increase nets two measured effects, besides the -boot-time modulus binding. Replacing the +The review-revision increase from 78,896,208 to 79,348,402 rows nets two +measured effects, besides the boot-time modulus binding. Replacing the hand-written transcript sponge, which reused each phase's compressed mask block, with spongefish's sponge over the inline adapter costs about 1.16M rows, and the remaining review revisions save about 0.71M. The `signed_sum` accumulator guard -costs about 9,000 rows. Recovering the mask compressions through a digest that -recognizes the mask blocks cost more rows (0.36M) than it saved, because the -128-byte check runs bytewise in the guest. +costs about 9,000 rows. A prior recognizer for the mask blocks cost more rows (0.36M) than it +saved, because its 128-byte check ran bytewise in the guest. + +### Constant BLAKE2b prefixes (2026-10-20) + +Spongefish's three public domain masks are full 128-byte blocks. The SDK now +recognizes them after packing into sixteen words, and reuses their compression +outputs computed at compile time by the existing BLAKE2b implementation. The +fast path requires a nonfinal first block at counter 128, the complete +BLAKE2b-512 initial state, and an exact match of all message words. This preserves +all hash bytes, including final-block, shorter-digest, salt and personalization +semantics. Other blocks still use the inline; Spongefish itself is unchanged. +The high-level hash API has content-dependent execution, not a constant-time +contract. The prefixes optimized in recursion are public. + +A short squeeze-to-absorb-to-squeeze transition now needs four dynamic +compressions instead of seven. The complete verifier improvement is smaller: +**765,306 fewer rows, or 0.9683%**, on the same checksum-sealed inner proof. +Verification uses 931,381 fewer virtual instructions and 166,078 more ordinary +RV64IMAC instructions, accounting for the recognition overhead. Both the +baseline and candidate remain in the $2^{27}$ padded domain; this alone does +not reach the $2^{26}$ target. + +The same typed opening-tamper fixture still rejects without a panic: its total +trace falls from 60,136,155 to 59,512,842 rows (623,313 saved). Both source states +return 1 for the valid proof and 0 for the tampered proof. Fixture checksums +were verified unchanged after both candidate runs. + +The baseline was independently reproduced at `125fa70aa657e78bce49f58f701f2756d52a69da`, +with Akita `ee03aa30`. Both arms ran on a Linux AMD EPYC 7K62 host, Rust 1.95.0, +CI-profile host and release guest, embedded setup, the same inner proof, and +`RAYON_NUM_THREADS=1`. Separate guest target directories prevent cross-arm +artifact reuse. All 14 BLAKE2b nextest tests passed, including independent digest +compatibility and inline execution checks; formatting and both workspace Clippy +modes (`host`, `host,zk`) passed. This is a trace-count result, not a native +elapsed-time or outer recursive-proof measurement. + +The successor branch retains #1911's public recursion companion. Merging +current main's runtime-catalog policy (#2091) and Spongefish migration (#2095) +requires companion integration and fresh validation; these counts do not +represent that future merge. ## Levers not taken here @@ -260,7 +300,7 @@ recognizes the mask blocks cost more rows (0.36M) than it saved, because the ## Reproduction ```bash -export RAYON_NUM_THREADS=1 RUST_MIN_STACK=268435456 CARGO_BUILD_JOBS=1 +export RUST_LOG=info RAYON_NUM_THREADS=1 RUST_MIN_STACK=268435456 CARGO_BUILD_JOBS=1 cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ generate --example fibonacci --workdir /tmp/recursion cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ From cab29542adefeb486b8450c99e1d017b63f87703 Mon Sep 17 00:00:00 2001 From: Alberto Centelles Date: Thu, 22 Oct 2026 23:37:01 +0100 Subject: [PATCH 002/131] perf(recursion): forward Akita's factored compression-weight feature l3-compression-weights on jolt-akita, the recursion host and the recursion guest selects Akita's factored evaluation of the compression relation weights (same field values). Feature-off guests compile byte for byte as before: only Cargo feature tables and host-only code change. --- crates/jolt-akita/Cargo.toml | 3 +++ examples/recursion/Cargo.toml | 3 +++ examples/recursion/guest/Cargo.toml | 2 ++ examples/recursion/src/main.rs | 2 ++ 4 files changed, 10 insertions(+) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 1785cefc01..16e2ba36fc 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -22,6 +22,9 @@ keccak-inline = ["akita-pcs/keccak-inline"] # Enables field-inline schedule coverage alongside the prover's field profile. field-inline = [] profiling = ["parallel"] +# L3 recursion experiment (default off): Akita evaluates the compression +# relation weights by factor (same field values; see akita-types). +l3-compression-weights = ["akita-types/l3-compression-weights"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 48cc6a7f81..c244d8068f 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -19,6 +19,9 @@ akita = [ "dep:jolt-witness", "dep:tracer", ] +# L3 recursion experiment: the verifier guest (and the host's Akita) evaluate +# the compression relation weights by factor; same field values. +l3-compression-weights = ["akita", "jolt-akita/l3-compression-weights"] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index f1c3c03498..efb15f66e5 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -24,6 +24,8 @@ hash-inlines = [ "jolt-akita?/blake2-inline", "jolt-akita?/keccak-inline", ] +# L3 recursion experiment: factorized compression-weight evaluation. +l3-compression-weights = ["akita", "jolt-akita/l3-compression-weights"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 71b1b6662c..247915575a 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -876,6 +876,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("ntt-inline"); program.add_guest_feature("fast-alloc"); program.add_guest_feature("hash-inlines"); + #[cfg(feature = "l3-compression-weights")] + program.add_guest_feature("l3-compression-weights"); program.set_memory_config(memory_config); program } From 7a72d0f143bc90501eae73e94defebf834904a75 Mon Sep 17 00:00:00 2001 From: acentelles Date: Fri, 23 Oct 2026 02:31:54 +0100 Subject: [PATCH 003/131] perf(recursion): turn factored compression weights on by default The recursion example enables l3-compression-weights by default. The feature forwards weakly (jolt-akita?/l3-compression-weights) and the host adds the guest feature only together with akita, so Dory builds are unchanged. --no-default-features turns it off. Host-side Cargo and cfg changes only. --- examples/recursion/Cargo.toml | 8 +++++--- examples/recursion/src/main.rs | 2 +- 2 files changed, 6 insertions(+), 4 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index c244d8068f..f1d1e5c8dd 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -19,9 +19,11 @@ akita = [ "dep:jolt-witness", "dep:tracer", ] -# L3 recursion experiment: the verifier guest (and the host's Akita) evaluate -# the compression relation weights by factor; same field values. -l3-compression-weights = ["akita", "jolt-akita/l3-compression-weights"] +# L3 compression-weight factoring, default on: with `akita`, the verifier +# guest (and the host's Akita) evaluate the compression relation weights by +# factor; same field values. Turn it off with --no-default-features. +default = ["l3-compression-weights"] +l3-compression-weights = ["jolt-akita?/l3-compression-weights"] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 247915575a..8f776390c5 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -876,7 +876,7 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("ntt-inline"); program.add_guest_feature("fast-alloc"); program.add_guest_feature("hash-inlines"); - #[cfg(feature = "l3-compression-weights")] + #[cfg(all(feature = "akita", feature = "l3-compression-weights"))] program.add_guest_feature("l3-compression-weights"); program.set_memory_config(memory_config); program From 987289c6f7a0026d544b7704e681bccac9e28f1f Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 22 Oct 2026 23:32:46 +0100 Subject: [PATCH 004/131] perf(recursion): forward Akita's terminal quotient certificate feature Adds l2-terminal-quotient to jolt-akita (enabling akita-pcs's feature), the recursion host and the verifier guest, the host's guest-feature line, and a tamper-l2 tool for the rejection fixtures (quotient flip, noncanonical, extra, short, response flip). Feature-off guest sources are untouched. --- crates/jolt-akita/Cargo.toml | 4 + examples/recursion/Cargo.toml | 3 + examples/recursion/guest/Cargo.toml | 2 + examples/recursion/src/main.rs | 126 ++++++++++++++++++++++++++++ 4 files changed, 135 insertions(+) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 16e2ba36fc..e479bf12ea 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -21,6 +21,10 @@ ntt-inline = ["akita-pcs/ntt-inline"] keccak-inline = ["akita-pcs/keccak-inline"] # Enables field-inline schedule coverage alongside the prover's field profile. field-inline = [] +# L2 terminal quotient certificate (recursion lever, default off): the +# terminal A rows are checked at two points against a sent quotient, under +# Akita protocol identifier v7-l2tq1. +l2-terminal-quotient = ["akita-pcs/l2-terminal-quotient"] profiling = ["parallel"] # L3 recursion experiment (default off): Akita evaluates the compression # relation weights by factor (same field values; see akita-types). diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index f1d1e5c8dd..5bbb940205 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -24,6 +24,9 @@ akita = [ # factor; same field values. Turn it off with --no-default-features. default = ["l3-compression-weights"] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] +# L2 terminal quotient certificate: the inner Akita proofs carry the terminal +# A-row quotient and the guest verifies it instead of the exact product. +l2-terminal-quotient = ["akita", "jolt-akita/l2-terminal-quotient"] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index efb15f66e5..3a7c3950e9 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -18,6 +18,8 @@ akita = [ "dep:jolt-transcript", ] fast-alloc = ["jolt_sdk/guest-size-class-alloc"] +# L2 terminal quotient certificate (see the host feature). +l2-terminal-quotient = ["akita", "jolt-akita/l2-terminal-quotient"] hash-inlines = [ "jolt_sdk/blake2-inline", "jolt-transcript?/blake2-inline", diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 8f776390c5..073c793589 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -115,6 +115,24 @@ enum Commands { #[arg(long)] output: PathBuf, }, + /// L2 lever: write a proof stream whose first inner Akita proof has its + /// terminal quotient or terminal response altered (rejection cases). + #[cfg(feature = "l2-terminal-quotient")] + TamperL2 { + #[arg(long)] + example: String, + #[arg(long)] + workdir: PathBuf, + #[arg(long)] + output: PathBuf, + /// quotient-flip, quotient-noncanonical, quotient-extra, + /// quotient-short or response-flip + #[arg(long)] + mode: String, + /// Bytes of the quotient at the end of the Akita proof body + #[arg(long)] + quotient_bytes: usize, + }, /// Generate proofs for guest programs Generate { /// Example to run (fibonacci or muldiv) @@ -874,6 +892,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("akita"); #[cfg(feature = "ntt-inline")] program.add_guest_feature("ntt-inline"); + #[cfg(feature = "l2-terminal-quotient")] + program.add_guest_feature("l2-terminal-quotient"); program.add_guest_feature("fast-alloc"); program.add_guest_feature("hash-inlines"); #[cfg(all(feature = "akita", feature = "l3-compression-weights"))] @@ -926,6 +946,101 @@ fn tamper_opening(guest: GuestProgram, workdir: &Path, output: &Path) { save_proof_data(guest, &tampered, output); } +/// Bincode's standard varint length prefix. +#[cfg(feature = "l2-terminal-quotient")] +fn push_varint_len(out: &mut Vec, len: usize) { + let len = len as u64; + if len < 251 { + out.push(len as u8); + } else if len <= u64::from(u16::MAX) { + out.push(251); + out.extend_from_slice(&(len as u16).to_le_bytes()); + } else if len <= u64::from(u32::MAX) { + out.push(252); + out.extend_from_slice(&(len as u32).to_le_bytes()); + } else { + out.push(253); + out.extend_from_slice(&len.to_le_bytes()); + } +} + +/// L2 rejection fixtures. The quotient is the last message of the Akita +/// proof body (after the terminal `z` payload), `quotient_bytes` long. +#[cfg(feature = "l2-terminal-quotient")] +fn tamper_l2( + guest: GuestProgram, + workdir: &Path, + output: &Path, + mode: &str, + quotient_bytes: usize, +) { + // p = 2^128 - 2^32 + 22537, little endian: a noncanonical encoding of 0. + const MODULUS_LE: [u8; 16] = [ + 9, 88, 0, 0, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, + ]; + const ATOM: usize = 16; + let bytes = load_proof_data(guest, workdir); + let mut offset = 0; + let _: GuestVerifierPreprocessing = read_record(&bytes, &mut offset).unwrap(); + let payloads: u32 = read_record(&bytes, &mut offset).unwrap(); + for _ in 0..payloads { + let _ = read_raw(&bytes, &mut offset).unwrap(); + } + let count: u32 = read_record(&bytes, &mut offset).unwrap(); + assert!(count > 0, "tamper fixture requires a proof"); + let mut tampered = bytes[..offset].to_vec(); + for index in 0..count { + let mut proof: GuestProof = read_record(&bytes, &mut offset).unwrap(); + let device: JoltDevice = read_record(&bytes, &mut offset).unwrap(); + if index == 0 { + let config = bincode::config::standard(); + let encoded = + bincode::serde::encode_to_vec(&proof.joint_opening_proof, config).unwrap(); + let body_len = proof.joint_opening_proof.backend_proof_body_size(); + let header_len = encoded.len() - body_len; + let mut length_prefix = Vec::new(); + push_varint_len(&mut length_prefix, body_len); + assert!( + encoded[..header_len].ends_with(&length_prefix), + "Akita batch proof layout is not selection, length, body" + ); + let selection_len = header_len - length_prefix.len(); + let mut body = encoded[header_len..].to_vec(); + assert!( + quotient_bytes > 0 + && quotient_bytes.is_multiple_of(ATOM) + && body.len() > quotient_bytes, + "quotient length" + ); + let start = body.len() - quotient_bytes; + info!("L2 tamper: body {body_len} bytes, quotient at {start}..{body_len}"); + match mode { + "quotient-flip" => body[start] ^= 1, + "quotient-noncanonical" => { + let last = body.len() - ATOM; + body[last..].copy_from_slice(&MODULUS_LE); + } + "quotient-extra" => body.extend_from_slice(&[0u8; ATOM]), + "quotient-short" => body.truncate(body.len() - ATOM), + "response-flip" => body[start - 1] ^= 1, + other => panic!("unknown tamper-l2 mode {other}"), + } + let mut rebuilt = encoded[..selection_len].to_vec(); + push_varint_len(&mut rebuilt, body.len()); + rebuilt.extend_from_slice(&body); + proof.joint_opening_proof = bincode::serde::decode_from_slice(&rebuilt, config) + .unwrap() + .0; + } + push_record(&mut tampered, &proof); + push_record(&mut tampered, &device); + } + assert_eq!(offset, bytes.len(), "trailing proof stream bytes"); + assert_eq!(check_data_integrity(&tampered).proof_count, count); + std::fs::create_dir(output).expect("fresh tampered proof directory"); + save_proof_data(guest, &tampered, output); +} + fn run_recursion_proof( guest: GuestProgram, run_config: RunConfig, @@ -1060,6 +1175,17 @@ fn main() { let guest = GuestProgram::from_str(example).expect("supported guest example"); tamper_opening(guest, workdir, output); } + #[cfg(feature = "l2-terminal-quotient")] + Some(Commands::TamperL2 { + example, + workdir, + output, + mode, + quotient_bytes, + }) => { + let guest = GuestProgram::from_str(example).expect("supported guest example"); + tamper_l2(guest, workdir, output, mode, *quotient_bytes); + } Some(Commands::Generate { example, workdir, From 68990a272e191fd026ab89f9d4867eb4d666ab16 Mon Sep 17 00:00:00 2001 From: acentelles Date: Fri, 23 Oct 2026 03:15:33 +0100 Subject: [PATCH 005/131] perf(recursion): turn the terminal quotient certificate on by default The recursion example enables l2-terminal-quotient by default next to l3-compression-weights. The feature forwards weakly (jolt-akita?/l2-terminal-quotient), and the host's guest-feature line, the tamper-l2 command and its helpers are compiled only together with akita, so Dory builds are unchanged and Akita builds prove and verify with the quotient certificate. --no-default-features turns both off. Host-side Cargo and cfg changes only. --- examples/recursion/Cargo.toml | 16 +++++++++------- examples/recursion/src/main.rs | 10 +++++----- 2 files changed, 14 insertions(+), 12 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 5bbb940205..7ae8659448 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -19,14 +19,16 @@ akita = [ "dep:jolt-witness", "dep:tracer", ] -# L3 compression-weight factoring, default on: with `akita`, the verifier -# guest (and the host's Akita) evaluate the compression relation weights by -# factor; same field values. Turn it off with --no-default-features. -default = ["l3-compression-weights"] +# L3 compression-weight factoring and the L2 terminal quotient certificate, +# both default on and both effective only with `akita`. L3: the verifier guest +# (and the host's Akita) evaluate the compression relation weights by factor; +# same field values. L2: the inner Akita proofs carry the terminal A-row +# quotient (protocol identifier v7-l2tq1) and the guest checks it at two +# points instead of the exact product. Turn both off with +# --no-default-features. +default = ["l3-compression-weights", "l2-terminal-quotient"] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] -# L2 terminal quotient certificate: the inner Akita proofs carry the terminal -# A-row quotient and the guest verifies it instead of the exact product. -l2-terminal-quotient = ["akita", "jolt-akita/l2-terminal-quotient"] +l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 073c793589..5b186500a6 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -117,7 +117,7 @@ enum Commands { }, /// L2 lever: write a proof stream whose first inner Akita proof has its /// terminal quotient or terminal response altered (rejection cases). - #[cfg(feature = "l2-terminal-quotient")] + #[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] TamperL2 { #[arg(long)] example: String, @@ -892,7 +892,7 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("akita"); #[cfg(feature = "ntt-inline")] program.add_guest_feature("ntt-inline"); - #[cfg(feature = "l2-terminal-quotient")] + #[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] program.add_guest_feature("l2-terminal-quotient"); program.add_guest_feature("fast-alloc"); program.add_guest_feature("hash-inlines"); @@ -947,7 +947,7 @@ fn tamper_opening(guest: GuestProgram, workdir: &Path, output: &Path) { } /// Bincode's standard varint length prefix. -#[cfg(feature = "l2-terminal-quotient")] +#[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] fn push_varint_len(out: &mut Vec, len: usize) { let len = len as u64; if len < 251 { @@ -966,7 +966,7 @@ fn push_varint_len(out: &mut Vec, len: usize) { /// L2 rejection fixtures. The quotient is the last message of the Akita /// proof body (after the terminal `z` payload), `quotient_bytes` long. -#[cfg(feature = "l2-terminal-quotient")] +#[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] fn tamper_l2( guest: GuestProgram, workdir: &Path, @@ -1175,7 +1175,7 @@ fn main() { let guest = GuestProgram::from_str(example).expect("supported guest example"); tamper_opening(guest, workdir, output); } - #[cfg(feature = "l2-terminal-quotient")] + #[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] Some(Commands::TamperL2 { example, workdir, From 142bf1f96fe8fb182df650fe8c21398b9517ce55 Mon Sep 17 00:00:00 2001 From: acentelles Date: Fri, 23 Oct 2026 22:24:22 +0100 Subject: [PATCH 006/131] perf(field,transcript): word-sized Fp128 decoding and transcript scalars Adds the word-decode and word-transcript features: Fp128 proof elements are deserialized from fixed 16-byte tuples with register-sized accumulators, and transcript scalars can be absorbed as whole words. Both are off by default. --- crates/jolt-akita/Cargo.toml | 5 ++ crates/jolt-field/Cargo.toml | 4 + crates/jolt-field/src/solinas/fp128.rs | 16 ++++ .../src/solinas/fp128_word_decode.rs | 54 ++++++++++++ .../jolt-field/tests/fp128_word_encoding.rs | 70 +++++++++++++++ crates/jolt-transcript/Cargo.toml | 4 + crates/jolt-transcript/src/digest.rs | 16 +++- crates/jolt-transcript/src/legacy.rs | 42 ++++++--- .../jolt-transcript/tests/word_transcript.rs | 85 +++++++++++++++++++ examples/recursion/Cargo.toml | 5 ++ examples/recursion/guest/Cargo.toml | 4 + examples/recursion/src/main.rs | 6 ++ 12 files changed, 297 insertions(+), 14 deletions(-) create mode 100644 crates/jolt-field/src/solinas/fp128_word_decode.rs create mode 100644 crates/jolt-field/tests/fp128_word_encoding.rs create mode 100644 crates/jolt-transcript/tests/word_transcript.rs diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index e479bf12ea..b6b2c9c577 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -30,6 +30,11 @@ profiling = ["parallel"] # relation weights by factor (same field values; see akita-types). l3-compression-weights = ["akita-types/l3-compression-weights"] +# Byte-preserving recursion experiments, default off. +word-transcript = ["jolt-transcript/word-transcript"] +word-decode = ["jolt-field/word-decode"] +ont-static-base = ["akita-challenges/ont-static-base"] + [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index fd01f80536..16f889127e 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -48,6 +48,10 @@ field-inline-guest = ["dep:jolt-riscv"] field-inline-guest-bn254 = ["field-inline-guest"] field-inline-guest-fp128 = ["field-inline-guest"] +# Byte-preserving recursion experiments, default off. +word-transcript = [] +word-decode = [] + [dev-dependencies] # The spine test's oracle field must satisfy `JoltField`, which requires # `Allocative` under the `allocative` feature; integration tests do not see diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index 2524409555..f830e696d4 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1157,6 +1157,13 @@ impl CanonicalBytes for Fp128

{ assert_eq!(out.len(), Self::NUM_BYTES); out.copy_from_slice(&join(self.0).to_le_bytes()); } + + #[cfg(feature = "word-transcript")] + #[inline(always)] + fn to_bytes_be(&self, out: &mut [u8]) { + assert_eq!(out.len(), Self::NUM_BYTES); + out.copy_from_slice(&join(self.0).to_be_bytes()); + } } impl CanonicalEncoding for Fp128

{ @@ -1204,12 +1211,21 @@ impl CanonicalEncoding for Fp128

{ #[inline] fn from_scalar_challenge_bytes(bytes: &[u8]) -> Self { + #[cfg(feature = "word-transcript")] + if let Ok(array) = <[u8; 16]>::try_from(bytes) { + return Self::from_u128(u128::from_le_bytes(array)); + } Self::from_bytes_le_reduced(bytes) } } +#[cfg(not(feature = "word-decode"))] crate::impl_serde_bytes!(impl[const P: u128] Fp128

, 16); +#[cfg(feature = "word-decode")] +#[path = "fp128_word_decode.rs"] +mod word_decode; + impl WithAccumulator for Fp128

{ type Accumulator = Fp128Accumulator

; type SmallScalarAccumulator = Fp128SignedAccumulator

; diff --git a/crates/jolt-field/src/solinas/fp128_word_decode.rs b/crates/jolt-field/src/solinas/fp128_word_decode.rs new file mode 100644 index 0000000000..7165d8f9a6 --- /dev/null +++ b/crates/jolt-field/src/solinas/fp128_word_decode.rs @@ -0,0 +1,54 @@ +//! Fixed byte-tuple decoding with register-sized accumulators. + +use core::fmt::{Formatter, Result as FormatResult}; + +use serde::de::{Error, SeqAccess, Visitor}; +use serde::{Deserialize, Deserializer, Serialize, Serializer}; + +use super::Fp128; +use crate::{CanonicalBytes, CanonicalEncoding}; + +struct WordArrayVisitor; + +impl<'de> Visitor<'de> for WordArrayVisitor { + type Value = u128; + + fn expecting(&self, formatter: &mut Formatter) -> FormatResult { + formatter.write_str("an array of length 16") + } + + #[inline] + fn visit_seq>(self, mut seq: A) -> Result { + let mut lo = 0u64; + let mut hi = 0u64; + for i in 0..16 { + let byte = seq + .next_element::()? + .ok_or_else(|| Error::invalid_length(i, &self))?; + // Each shift is at most 56; every byte owns disjoint bits. + if i < 8 { + lo |= u64::from(byte) << (8 * i); + } else { + hi |= u64::from(byte) << (8 * (i - 8)); + } + } + Ok(u128::from(lo) | (u128::from(hi) << 64)) + } +} + +impl Serialize for Fp128

{ + fn serialize(&self, serializer: S) -> Result { + let mut bytes = [0u8; 16]; + self.to_bytes_le(&mut bytes); + bytes.serialize(serializer) + } +} + +impl<'de, const P: u128> Deserialize<'de> for Fp128

{ + fn deserialize>(deserializer: D) -> Result { + // Preserve the byte-tuple grammar, including its per-byte error order. + let value = deserializer.deserialize_tuple(16, WordArrayVisitor)?; + Self::from_u128_checked(value) + .ok_or_else(|| Error::custom("non-canonical field element encoding")) + } +} diff --git a/crates/jolt-field/tests/fp128_word_encoding.rs b/crates/jolt-field/tests/fp128_word_encoding.rs new file mode 100644 index 0000000000..f2c89d9a2c --- /dev/null +++ b/crates/jolt-field/tests/fp128_word_encoding.rs @@ -0,0 +1,70 @@ +#![expect(clippy::unwrap_used, reason = "tests construct canonical fixtures")] +#![cfg(feature = "solinas")] + +use jolt_field::solinas::Prime128OffsetA7F7 as Field; +use jolt_field::{CanonicalBytes, CanonicalEncoding}; + +const MODULUS: u128 = u128::MAX - (0xffff_a7f7 - 1); + +#[test] +fn word_canonical_tuple_boundaries_and_consumption() { + let config = bincode::config::standard(); + for value in [0, 1, (1u128 << 64) - 1, 1u128 << 64, MODULUS - 1] { + let mut input = value.to_le_bytes().to_vec(); + input.extend_from_slice(&[0xaa, 0xbb]); + let (field, consumed): (Field, usize) = + bincode::serde::decode_from_slice(&input, config).unwrap(); + assert_eq!(field.to_u128_checked(), Some(value)); + assert_eq!(consumed, 16); + assert_eq!( + bincode::serde::encode_to_vec(field, config).unwrap(), + value.to_le_bytes() + ); + let mut big_endian = [0u8; 16]; + field.to_bytes_be(&mut big_endian); + assert_eq!(big_endian, value.to_be_bytes()); + } + for value in [MODULUS, MODULUS + 1, u128::MAX] { + assert!( + bincode::serde::decode_from_slice::(&value.to_le_bytes(), config).is_err() + ); + } +} + +#[test] +fn word_truncated_and_single_bit_tuples() { + let config = bincode::config::standard(); + let input = [0u8; 16]; + for length in 0..16 { + assert!(bincode::serde::decode_from_slice::(&input[..length], config).is_err()); + } + // Every bit below the modulus is canonical, including the limb boundary. + for bit in 0..128 { + let value = 1u128 << bit; + let (field, consumed): (Field, usize) = + bincode::serde::decode_from_slice(&value.to_le_bytes(), config).unwrap(); + assert_eq!((field.to_u128_checked(), consumed), (Some(value), 16)); + } +} + +#[test] +fn word_scalar_challenge_lengths_and_reduction() { + assert_eq!( + Field::from_scalar_challenge_bytes(&[]).to_u128_checked(), + Some(0) + ); + assert_eq!( + Field::from_scalar_challenge_bytes(&[0x34, 0x12]).to_u128_checked(), + Some(0x1234) + ); + assert_eq!( + Field::from_scalar_challenge_bytes(&MODULUS.to_le_bytes()).to_u128_checked(), + Some(0) + ); + let mut wide = [0u8; 17]; + wide[16] = 1; + assert_eq!( + Field::from_scalar_challenge_bytes(&wide).to_u128_checked(), + Some(0xffff_a7f7) + ); +} diff --git a/crates/jolt-transcript/Cargo.toml b/crates/jolt-transcript/Cargo.toml index 345ca82425..6d78749092 100644 --- a/crates/jolt-transcript/Cargo.toml +++ b/crates/jolt-transcript/Cargo.toml @@ -27,6 +27,9 @@ transcript-poseidon = ["spongefish", "bn254", "dep:light-poseidon"] blake2-inline = ["dep:jolt-inlines-blake2", "jolt-inlines-blake2/digest"] +# Byte-preserving scalar buffering and encoding, default off. +word-transcript = ["jolt-field/word-transcript"] + [dependencies] jolt-inlines-blake2 = { workspace = true, optional = true } ark-bn254 = { workspace = true, optional = true } @@ -39,6 +42,7 @@ jolt-field = { path = "../jolt-field", default-features = false } rand = { workspace = true, features = ["std_rng"], optional = true } [dev-dependencies] +jolt-field = { path = "../jolt-field", default-features = false, features = ["solinas"] } criterion = { workspace = true } [[bench]] diff --git a/crates/jolt-transcript/src/digest.rs b/crates/jolt-transcript/src/digest.rs index ac0b73310f..f42da0b94b 100644 --- a/crates/jolt-transcript/src/digest.rs +++ b/crates/jolt-transcript/src/digest.rs @@ -185,9 +185,19 @@ where } fn challenge_scalar(&mut self) -> F { - let mut buf = [0u8; 16]; - self.challenge_bytes(&mut buf); - F::from_scalar_challenge_bytes(&buf) + #[cfg(feature = "word-transcript")] + { + // One scalar draw consumes one complete digest state transition. + let hash = self.round_hash(&[]); + self.update_state(hash); + F::from_scalar_challenge_bytes(hash.split_at(16).0) + } + #[cfg(not(feature = "word-transcript"))] + { + let mut buf = [0u8; 16]; + self.challenge_bytes(&mut buf); + F::from_scalar_challenge_bytes(&buf) + } } #[inline] diff --git a/crates/jolt-transcript/src/legacy.rs b/crates/jolt-transcript/src/legacy.rs index 0b765c222f..f5fc5928be 100644 --- a/crates/jolt-transcript/src/legacy.rs +++ b/crates/jolt-transcript/src/legacy.rs @@ -69,16 +69,31 @@ pub trait Transcript: Default + Sync + Send + 'static { /// /// [`append_values`]: Self::append_values fn append_scalars(&mut self, label: &'static [u8], values: &[F]) { - let mut message = Vec::with_capacity(32 + values.len() * F::NUM_BYTES); - message.extend_from_slice(&LabelWithCount(label, values.len() as u64).word()); - for value in values { - let start = message.len(); - message.resize(start + F::NUM_BYTES, 0); - let (_, encoded) = message.split_at_mut(start); - value.to_bytes_le(encoded); - encoded.reverse(); + #[cfg(feature = "word-transcript")] + { + let mut message = vec![0u8; 32 + values.len() * F::NUM_BYTES]; + let (head, body) = message.split_at_mut(32); + head.copy_from_slice(&LabelWithCount(label, values.len() as u64).word()); + if F::NUM_BYTES > 0 { + for (value, chunk) in values.iter().zip(body.chunks_exact_mut(F::NUM_BYTES)) { + value.to_bytes_be(chunk); + } + } + self.append_bytes(&message); + } + #[cfg(not(feature = "word-transcript"))] + { + let mut message = Vec::with_capacity(32 + values.len() * F::NUM_BYTES); + message.extend_from_slice(&LabelWithCount(label, values.len() as u64).word()); + for value in values { + let start = message.len(); + message.resize(start + F::NUM_BYTES, 0); + let (_, encoded) = message.split_at_mut(start); + value.to_bytes_le(encoded); + encoded.reverse(); + } + self.append_bytes(&message); } - self.append_bytes(&message); } /// Absorbs a domain label with a count followed by each value in order. @@ -156,8 +171,13 @@ impl AppendToTranscript for F { heap.resize(F::NUM_BYTES, 0); &mut heap }; - self.to_bytes_le(buf); - buf.reverse(); + #[cfg(feature = "word-transcript")] + self.to_bytes_be(buf); + #[cfg(not(feature = "word-transcript"))] + { + self.to_bytes_le(buf); + buf.reverse(); + } transcript.append_bytes(buf); } } diff --git a/crates/jolt-transcript/tests/word_transcript.rs b/crates/jolt-transcript/tests/word_transcript.rs new file mode 100644 index 0000000000..779e82f511 --- /dev/null +++ b/crates/jolt-transcript/tests/word_transcript.rs @@ -0,0 +1,85 @@ +#![expect(clippy::unwrap_used, reason = "tests construct canonical fixtures")] +use jolt_field::solinas::Prime128OffsetA7F7 as Field; +use jolt_field::CanonicalEncoding; +use jolt_transcript::{AppendToTranscript, Transcript}; + +#[derive(Default)] +struct Capture { + messages: Vec>, +} + +impl Transcript for Capture { + type Challenge = (); + + fn new(_: &'static [u8]) -> Self { + Self::default() + } + + fn append_bytes(&mut self, bytes: &[u8]) { + self.messages.push(bytes.to_vec()); + } + + fn challenge(&mut self) {} + + fn state(&self) -> [u8; 32] { + [0; 32] + } +} + +#[test] +fn word_scalar_message_matches_wire_contract() { + let value = Field::from_u128_checked(0x0102_0304_0506_0708_1112_1314_1516_1718).unwrap(); + let mut transcript = Capture::default(); + transcript.append_scalars(b"x", &[value]); + let mut expected = vec![0; 48]; + expected[0] = b'x'; + expected[31] = 1; + expected[32..].copy_from_slice(&[1, 2, 3, 4, 5, 6, 7, 8, 17, 18, 19, 20, 21, 22, 23, 24]); + assert_eq!(transcript.messages, vec![expected]); + + let mut scalar = Capture::default(); + value.append_to_transcript(&mut scalar); + assert_eq!( + scalar.messages, + vec![vec![1, 2, 3, 4, 5, 6, 7, 8, 17, 18, 19, 20, 21, 22, 23, 24,]] + ); +} + +#[test] +fn word_empty_and_multiple_scalars_keep_one_message() { + let mut empty = Capture::default(); + empty.append_scalars::(b"", &[]); + assert_eq!(empty.messages, vec![vec![0; 32]]); + + let mut transcript = Capture::default(); + let values = [ + Field::from_u128_checked(0).unwrap(), + Field::from_u128_checked(1).unwrap(), + ]; + transcript.append_scalars(b"", &values); + let mut expected = vec![0; 64]; + expected[31] = 2; + expected[63] = 1; + assert_eq!(transcript.messages, vec![expected]); +} + +#[cfg(feature = "transcript-blake2b")] +#[test] +fn word_scalar_draw_matches_existing_independent_digest_vector() { + use jolt_transcript::LegacyBlake2bTranscript; + + let mut transcript = LegacyBlake2bTranscript::::new(b"jolt transcript kat"); + transcript.append_bytes(b"jolt says hello"); + // Same independent hashlib vector as legacy_digest_tests.rs. + let state = [ + 0x25, 0xa4, 0x96, 0x91, 0x2b, 0x5b, 0x75, 0xd6, 0x50, 0x4c, 0xbc, 0x20, 0x4a, 0x25, 0xb1, + 0x3d, 0x61, 0x21, 0xe6, 0x26, 0x6a, 0xc0, 0x56, 0x58, 0x96, 0x89, 0xc4, 0x3d, 0xc0, 0x6f, + 0x91, 0x42, + ]; + let challenge = transcript.challenge_scalar(); + assert_eq!(transcript.state(), state); + assert_eq!( + challenge.to_u128_checked(), + Some(0x3db1_254a_20bc_4c50_d675_5b2b_9196_a425) + ); +} diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 7ae8659448..c016f69641 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -30,6 +30,11 @@ default = ["l3-compression-weights", "l2-terminal-quotient"] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] +# Each arm is selected independently and forwarded to the guest. +word-transcript = ["akita", "jolt-akita/word-transcript"] +word-decode = ["akita", "jolt-akita/word-decode"] +ont-static-base = ["akita", "jolt-akita/ont-static-base"] + [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } jolt-program = { path = "../../crates/jolt-program", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 3a7c3950e9..c09cdd2f89 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -29,6 +29,10 @@ hash-inlines = [ # L3 recursion experiment: factorized compression-weight evaluation. l3-compression-weights = ["akita", "jolt-akita/l3-compression-weights"] +word-transcript = ["akita", "jolt-akita/word-transcript"] +word-decode = ["akita", "jolt-akita/word-decode"] +ont-static-base = ["akita", "jolt-akita/ont-static-base"] + [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 5b186500a6..76303fa204 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -898,6 +898,12 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("hash-inlines"); #[cfg(all(feature = "akita", feature = "l3-compression-weights"))] program.add_guest_feature("l3-compression-weights"); + #[cfg(feature = "word-transcript")] + program.add_guest_feature("word-transcript"); + #[cfg(feature = "word-decode")] + program.add_guest_feature("word-decode"); + #[cfg(feature = "ont-static-base")] + program.add_guest_feature("ont-static-base"); program.set_memory_config(memory_config); program } From 8e8ec596d6917bfe5d88b68e14b20cd332b026b8 Mon Sep 17 00:00:00 2001 From: acentelles Date: Sat, 24 Oct 2026 00:57:21 +0100 Subject: [PATCH 007/131] Define canonical big-endian bytes for transcript feature callers --- crates/jolt-field/src/algebra.rs | 11 +++++++ .../tests/canonical_bytes_big_endian.rs | 32 +++++++++++++++++++ 2 files changed, 43 insertions(+) create mode 100644 crates/jolt-field/tests/canonical_bytes_big_endian.rs diff --git a/crates/jolt-field/src/algebra.rs b/crates/jolt-field/src/algebra.rs index b969daf799..77350f6904 100644 --- a/crates/jolt-field/src/algebra.rs +++ b/crates/jolt-field/src/algebra.rs @@ -345,6 +345,17 @@ pub trait CanonicalBytes { /// Writes the canonical little-endian encoding into `out`. fn to_bytes_le(&self, out: &mut [u8]); + /// Writes the canonical encoding in big-endian byte order into `out`. + /// + /// `out` must have length [`NUM_BYTES`](Self::NUM_BYTES). This is the + /// byte reversal of [`to_bytes_le`](Self::to_bytes_le), including for + /// non-field encodings. + #[inline] + fn to_bytes_be(&self, out: &mut [u8]) { + self.to_bytes_le(out); + out.reverse(); + } + /// Returns the canonical little-endian encoding as a vector. #[inline] fn to_bytes_le_vec(&self) -> Vec { diff --git a/crates/jolt-field/tests/canonical_bytes_big_endian.rs b/crates/jolt-field/tests/canonical_bytes_big_endian.rs new file mode 100644 index 0000000000..b931721700 --- /dev/null +++ b/crates/jolt-field/tests/canonical_bytes_big_endian.rs @@ -0,0 +1,32 @@ +use jolt_field::CanonicalBytes; + +struct LittleEndianBytes([u8; N]); + +impl CanonicalBytes for LittleEndianBytes { + const NUM_BYTES: usize = N; + + fn to_bytes_le(&self, out: &mut [u8]) { + out.copy_from_slice(&self.0); + } +} + +fn write_big_endian(value: &T, out: &mut [u8]) { + value.to_bytes_be(out); +} + +#[test] +fn canonical_bytes_default_big_endian_matches_wire_order() { + let value = LittleEndianBytes([0x78, 0x56, 0x34, 0x12]); + let mut out = [0u8; 4]; + write_big_endian(&value, &mut out); + assert_eq!(out, [0x12, 0x34, 0x56, 0x78]); + assert_eq!(value.to_bytes_le_vec(), [0x78, 0x56, 0x34, 0x12]); +} + +#[test] +fn canonical_bytes_default_big_endian_accepts_empty_encoding() { + let value = LittleEndianBytes([]); + let mut out = []; + write_big_endian(&value, &mut out); + assert!(out.is_empty()); +} From e79d6d922f44188511316e4c0c28303468983f3d Mon Sep 17 00:00:00 2001 From: acentelles Date: Sat, 24 Oct 2026 10:10:14 +0100 Subject: [PATCH 008/131] Gate Solinas encoding tests before lint expectations --- crates/jolt-field/tests/fp128_word_encoding.rs | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/crates/jolt-field/tests/fp128_word_encoding.rs b/crates/jolt-field/tests/fp128_word_encoding.rs index f2c89d9a2c..79032f1d41 100644 --- a/crates/jolt-field/tests/fp128_word_encoding.rs +++ b/crates/jolt-field/tests/fp128_word_encoding.rs @@ -1,5 +1,5 @@ -#![expect(clippy::unwrap_used, reason = "tests construct canonical fixtures")] #![cfg(feature = "solinas")] +#![expect(clippy::unwrap_used, reason = "tests construct canonical fixtures")] use jolt_field::solinas::Prime128OffsetA7F7 as Field; use jolt_field::{CanonicalBytes, CanonicalEncoding}; From c0722ae6e37f108fc893eb598ada60bc7b112c5a Mon Sep 17 00:00:00 2001 From: acentelles Date: Sat, 24 Oct 2026 16:52:12 +0100 Subject: [PATCH 009/131] perf(recursion): turn word decoding on by default The recursion example enables word-decode by default next to the factored compression weights and the terminal quotient certificate. The feature forwards weakly (jolt-akita?/word-decode) and the host forwards it to the guest only together with akita, so Dory builds are unchanged. --no-default-features turns all three off. Host-side Cargo and cfg changes only. --- examples/recursion/Cargo.toml | 11 ++++++----- examples/recursion/src/main.rs | 2 +- 2 files changed, 7 insertions(+), 6 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index c016f69641..22aacf840e 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -24,15 +24,16 @@ akita = [ # (and the host's Akita) evaluate the compression relation weights by factor; # same field values. L2: the inner Akita proofs carry the terminal A-row # quotient (protocol identifier v7-l2tq1) and the guest checks it at two -# points instead of the exact product. Turn both off with -# --no-default-features. -default = ["l3-compression-weights", "l2-terminal-quotient"] +# points instead of the exact product. Word decoding: the guest decodes +# fixed-wire field elements by word with the same canonicality checks. Turn +# all three off with --no-default-features. +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode"] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] +word-decode = ["jolt-akita?/word-decode"] -# Each arm is selected independently and forwarded to the guest. +# Each remaining arm is selected independently and forwarded to the guest. word-transcript = ["akita", "jolt-akita/word-transcript"] -word-decode = ["akita", "jolt-akita/word-decode"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] [dependencies] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 76303fa204..7c5938b582 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -900,7 +900,7 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("l3-compression-weights"); #[cfg(feature = "word-transcript")] program.add_guest_feature("word-transcript"); - #[cfg(feature = "word-decode")] + #[cfg(all(feature = "akita", feature = "word-decode"))] program.add_guest_feature("word-decode"); #[cfg(feature = "ont-static-base")] program.add_guest_feature("ont-static-base"); From c14ac93d87463a1ab4c193e107d9734405180bba Mon Sep 17 00:00:00 2001 From: acentelles Date: Sat, 24 Oct 2026 00:56:01 +0100 Subject: [PATCH 010/131] perf(verifier): reuse instruction read RAF public inputs --- crates/jolt-verifier/src/stages/relations.rs | 48 ++-- .../src/stages/stage5/instruction_read_raf.rs | 213 +++++++++++++----- 2 files changed, 191 insertions(+), 70 deletions(-) diff --git a/crates/jolt-verifier/src/stages/relations.rs b/crates/jolt-verifier/src/stages/relations.rs index 07fee6a527..63fe2b6748 100644 --- a/crates/jolt-verifier/src/stages/relations.rs +++ b/crates/jolt-verifier/src/stages/relations.rs @@ -91,9 +91,9 @@ pub type ChallengeIdOf = as SymbolicSumcheck>::Challenge /// its proof) and the verifier (after checking it). /// /// Each relation's consumed/produced claims are split into a *Values* form (the -/// serialized wire form, the cell-generic claim struct at `F` — one value per +/// serialized wire form, the cell-generic claim struct at `F` -- one value per /// opening) and a *Points* form (the derived opening points, the same struct at -/// `Vec` — one point per opening). Methods that need only points +/// `Vec` -- one point per opening). Methods that need only points /// ([`derive_opening_points`](Self::derive_opening_points), /// [`derive_output_term`](Self::derive_output_term)) take the Points forms and run /// in both modes; methods that read values ([`input_claim`](Self::input_claim), @@ -112,7 +112,7 @@ where /// The relation's pure symbolic algebra: id types, sumcheck spec, and the /// input/output `Expr`s. The concrete instance holds its `Self::Symbolic` and /// sources its claim expressions and spec from it. The id family is the - /// symbolic relation's own — every id this trait exposes is a projection of + /// symbolic relation's own -- every id this trait exposes is a projection of /// it, so relations from any protocol family (jolt, field-inline) implement /// one trait. type Symbolic: SymbolicSumcheck; @@ -137,17 +137,17 @@ where /// /// The default draws one `challenge_scalar` per `Challenges` field, in /// declaration order, via [`SumcheckChallenges::from_transcript_values`]. This is - /// the correct draw for the common case — a relation whose challenges are each a + /// the correct draw for the common case -- a relation whose challenges are each a /// single `challenge_scalar` (and for [`NoChallenges`](::jolt_claims::NoChallenges), /// which has no fields, it draws nothing). A `challenge_scalar_powers(n)` draw /// reduces to this case: it performs exactly one squeeze and the relation keeps /// the degree-1 power, which equals that squeezed scalar. Only relations whose - /// draw is genuinely different — an extra transcript append (a domain + /// draw is genuinely different -- an extra transcript append (a domain /// separator), a value re-roll, or a powers draw whose kept value is not the - /// squeezed scalar — override this. + /// squeezed scalar -- override this. /// - /// The bound is `SumcheckChallenges` — which every `Challenges` already - /// implements — so the default needs no separate `Default` derive. It errors + /// The bound is `SumcheckChallenges` -- which every `Challenges` already + /// implements -- so the default needs no separate `Default` derive. It errors /// only if the per-field draw cannot populate the struct, which cannot happen for /// the infinite `challenge_scalar` stream the default supplies. fn draw_challenges>( @@ -169,7 +169,7 @@ where /// the generated drivers use this set three ways: the absorb skips the aliased /// ids, the shape/count arithmetic subtracts them (see /// [`wire_output_openings`](Self::wire_output_openings)), and the generated - /// `validate_aliases` — run by every `expected_final_claim` — enforces the + /// `validate_aliases` -- run by every `expected_final_claim` -- enforces the /// wire copies equal their sources. That equality check is load-bearing: the /// aliased cells are never Fiat-Shamir-absorbed and the batch fold pins only /// their random linear combination, so downstream consumers reading a copy @@ -180,7 +180,7 @@ where /// /// Point equality is NOT checked at runtime: opening points are derived (not /// wire data), and an alias is only declarable when both relations bind the - /// same batch-point slice and derive it identically — a structural invariant. + /// same batch-point slice and derive it identically -- a structural invariant. /// The declaration invariants (each aliased id owned + `Expr`-referenced by /// the declaring relation, each source absorbed by another member binding an /// identical point slice) are pinned by hand-written tests in each declaring @@ -276,7 +276,7 @@ where /// Resolve a `Derived` in this relation's **output** expression: from the input /// points, the produced openings' points (the bound point, post-binding), and the /// drawn challenges. The output claim is checked *after* binding, so the produced - /// openings' points exist — hence `output_points` is non-optional. Most `eq`/`lt` + /// openings' points exist -- hence `output_points` is non-optional. Most `eq`/`lt` /// deriveds live here (they evaluate at this sumcheck's bound point). Defaults to /// "no output deriveds"; overridden by relations that have them. fn derive_output_term( @@ -325,6 +325,20 @@ where output_values: &SumcheckOutputClaims, output_points: &SumcheckOutputPoints, challenges: &ConcreteSumcheckChallenges, + ) -> Result { + self.evaluate_output_expression(output_values, challenges, |id| { + self.derive_output_term(id, input_points, output_points, challenges) + }) + } + + /// Evaluate the canonical output expression with a per-call derived-value + /// resolver. Relations can share public computations across terms without + /// restating the expression or changing opening and challenge resolution. + fn evaluate_output_expression( + &self, + output_values: &SumcheckOutputClaims, + challenges: &ConcreteSumcheckChallenges, + derived: impl FnMut(&DerivedIdOf) -> Result, ) -> Result { self.symbolic().output_expression::().try_evaluate( |id| { @@ -337,7 +351,7 @@ where .resolve_challenge(id) .ok_or(VerifierError::MissingStageClaimChallenge { id: (*id).into() }) }, - |id| self.derive_output_term(id, input_points, output_points, challenges), + derived, ) } } @@ -423,7 +437,7 @@ where /// Enforce one member's declared cross-relation opening aliases: each aliased /// wire cell (resolved from the DECLARING member's claims) must equal its /// canonical source opening, resolved across the batch by `resolve_source` -/// (the generated batch-wide resolver). Load-bearing — aliased cells are never +/// (the generated batch-wide resolver). Load-bearing -- aliased cells are never /// Fiat-Shamir absorbed and the batch fold pins only their random linear /// combination, so downstream consumers reading a copy rely on this equality. /// Called by the generated `validate_aliases` per member. @@ -502,7 +516,7 @@ where Ok(()) } -/// Project a composite-family derived id onto one relation's own public enum — +/// Project a composite-family derived id onto one relation's own public enum -- /// the typed destructure every `derive_output_term` starts with, driven by the /// id family's generated `TryFrom` inverses of its `From` embeddings. A foreign /// relation's id is the same `MissingStageClaimDerived` miss the hand-written @@ -1262,7 +1276,7 @@ mod sumcheck_batch_derive_tests { // NO `draw_challenges` on the source struct (a stage whose member challenges // have stage-level provenance hand-assembles its aggregate; the generated draw // would squeeze at the wrong transcript position if it existed). The inherent - // `draw_challenges` below — with a deliberately incompatible signature — would + // `draw_challenges` below -- with a deliberately incompatible signature -- would // collide with a generated one, so this module compiling at all proves the // opt-out suppressed it. #[derive(SumcheckBatch)] @@ -1320,9 +1334,9 @@ mod begin_batch_tests { } /// `begin_batch` with a clear recorder must reproduce the exact head - /// Fiat-Shamir sequence `verify_clear` performed before the factoring — + /// Fiat-Shamir sequence `verify_clear` performed before the factoring -- /// per-member `input_claim` absorbed under `b"sumcheck_claim"` in - /// declaration order, then one coefficient squeeze per member — and pack + /// declaration order, then one coefficient squeeze per member -- and pack /// the prelude's engine and named views consistently. #[test] fn begin_batch_matches_head_replica_and_packs_prelude() { diff --git a/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs b/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs index 1b9f7abc98..3d73fa6c7e 100644 --- a/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs +++ b/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs @@ -101,10 +101,86 @@ pub(crate) fn reconstruct_r_address( .collect() } +struct InstructionReadRafPublicInputs { + r_address: Vec, + eq_reduction: F, +} + impl InstructionReadRaf { pub fn dimensions(&self) -> InstructionReadRafDimensions { self.dimensions } + + fn prepare_output( + &self, + input_points: &InstructionReadRafInputClaims>, + output_points: &InstructionReadRafOutputClaims>, + ) -> Result, VerifierError> { + let r_cycle = output_points.instruction_raf_flag(); + let r_address = reconstruct_r_address(output_points, r_cycle.len()); + // eq over the upstream instruction claim-reduction cycle point; all three + // consumed openings share that point, so the lookup-output input carries it. + let eq_reduction = + try_eq_mle(input_points.lookup_output(), r_cycle).map_err(public_input_failed)?; + let address_bits = self.dimensions.instruction_address_bits(); + // `upper_half_all_ones` below slices the leading half of this point, so a + // reconstruction of the wrong length would silently guard the wrong bits + // rather than fail. The point is verifier-derived, but the mis-slice is + // invisible if that ever stops being true. + if r_address.len() != address_bits { + return Err(public_input_failed(format!( + "instruction address point has {} coordinates, expected {address_bits}", + r_address.len() + ))); + } + Ok(InstructionReadRafPublicInputs { + r_address, + eq_reduction, + }) + } + + fn evaluate_public( + &self, + public: &InstructionReadRafPublic, + prepared: &InstructionReadRafPublicInputs, + challenges: &InstructionReadRafChallenges, + ) -> Result { + let address_bits = self.dimensions.instruction_address_bits(); + let r_address = &prepared.r_address; + let eq_reduction = prepared.eq_reduction; + let left = || OperandPolynomial::new(address_bits, OperandSide::Left).evaluate(r_address); + let right = || OperandPolynomial::new(address_bits, OperandSide::Right).evaluate(r_address); + let gamma = challenges.gamma; + let gamma2 = gamma * gamma; + match public { + InstructionReadRafPublic::EqTableValue(index) => { + let table = LookupTableKind::::iter() + .find(|table| table.index() == *index) + .ok_or_else(|| { + public_input_failed(format!("unknown lookup table index {index}")) + })?; + Ok(eq_reduction * table.evaluate_mle::(r_address)) + } + InstructionReadRafPublic::EqRafConstant => { + Ok(eq_reduction * (gamma * left() + gamma2 * right())) + } + InstructionReadRafPublic::EqRafFlag => { + let identity = IdentityPolynomial::new(address_bits).evaluate(r_address); + let mut raf = gamma2 * identity - gamma * left() - gamma2 * right(); + if CANONICAL_INSTRUCTION_ADDRESS { + // The input claim carries no γ³ term, so the sumcheck can only + // close if Σ_j eq(r_red,j)·RafFlag_j·U(k_j) = 0 -- i.e. no + // identity-RAF cycle has an all-ones upper address half. Every + // fp128 alias `k = r + p < 2^128` has exactly that shape, and + // `U(k) = 0` implies `k < 2^128 - 2^64 < p`, so the surviving + // address is the canonical representative of `k mod p` and the + // identity leg pins it exactly. See `CANONICAL_INSTRUCTION_ADDRESS`. + raf += gamma2 * gamma * upper_half_all_ones(r_address); + } + Ok(eq_reduction * raf) + } + } + } } impl ConcreteSumcheck for InstructionReadRaf { @@ -161,60 +237,33 @@ impl ConcreteSumcheck for InstructionReadRaf { let JoltDerivedId::InstructionReadRaf(public) = id else { return Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }); }; - let r_cycle = output_points.instruction_raf_flag(); - let r_address = reconstruct_r_address(output_points, r_cycle.len()); - // eq over the upstream instruction claim-reduction cycle point; all three - // consumed openings share that point, so the lookup-output input carries it. - let eq_reduction = - try_eq_mle(input_points.lookup_output(), r_cycle).map_err(public_input_failed)?; - let address_bits = self.dimensions.instruction_address_bits(); - // `upper_half_all_ones` below slices the leading half of this point, so a - // reconstruction of the wrong length would silently guard the wrong bits - // rather than fail. The point is verifier-derived, but the mis-slice is - // invisible if that ever stops being true. - if r_address.len() != address_bits { - return Err(public_input_failed(format!( - "instruction address point has {} coordinates, expected {address_bits}", - r_address.len() - ))); - } - let left = || OperandPolynomial::new(address_bits, OperandSide::Left).evaluate(&r_address); - let right = - || OperandPolynomial::new(address_bits, OperandSide::Right).evaluate(&r_address); - let gamma = challenges.gamma; - let gamma2 = gamma * gamma; - match public { - InstructionReadRafPublic::EqTableValue(index) => { - let table = LookupTableKind::::iter() - .find(|table| table.index() == *index) - .ok_or_else(|| { - public_input_failed(format!("unknown lookup table index {index}")) - })?; - Ok(eq_reduction * table.evaluate_mle::(&r_address)) - } - InstructionReadRafPublic::EqRafConstant => { - Ok(eq_reduction * (gamma * left() + gamma2 * right())) - } - InstructionReadRafPublic::EqRafFlag => { - let identity = IdentityPolynomial::new(address_bits).evaluate(&r_address); - let mut raf = gamma2 * identity - gamma * left() - gamma2 * right(); - if CANONICAL_INSTRUCTION_ADDRESS { - // The input claim carries no γ³ term, so the sumcheck can only - // close if Σ_j eq(r_red,j)·RafFlag_j·U(k_j) = 0 — i.e. no - // identity-RAF cycle has an all-ones upper address half. Every - // fp128 alias `k = r + p < 2^128` has exactly that shape, and - // `U(k) = 0` implies `k < 2^128 - 2^64 < p`, so the surviving - // address is the canonical representative of `k mod p` and the - // identity leg pins it exactly. See `CANONICAL_INSTRUCTION_ADDRESS`. - raf += gamma2 * gamma * upper_half_all_ones(&r_address); - } - Ok(eq_reduction * raf) - } - } + let prepared = self.prepare_output(input_points, output_points)?; + self.evaluate_public(public, &prepared, challenges) + } + + fn expected_output( + &self, + input_points: &InstructionReadRafInputClaims>, + output_values: &InstructionReadRafOutputClaims, + output_points: &InstructionReadRafOutputClaims>, + challenges: &InstructionReadRafChallenges, + ) -> Result { + let mut prepared = None; + self.evaluate_output_expression(output_values, challenges, |id| { + let JoltDerivedId::InstructionReadRaf(public) = id else { + return Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }); + }; + let inputs = match &prepared { + Some(inputs) => inputs, + None => prepared.insert(self.prepare_output(input_points, output_points)?), + }; + self.evaluate_public(public, inputs, challenges) + }) } } #[cfg(test)] +#[expect(clippy::unwrap_used, reason = "fixed valid dimensions in test fixtures")] mod tests { use super::*; use crate::stages::relations::ConcreteSumcheck; @@ -228,7 +277,6 @@ mod tests { /// geometry's `read_raf_output_openings` set. If they drift, the ZK /// commitment-count and clear shape-check derived from the `Expr` would be wrong. #[test] - #[expect(clippy::unwrap_used)] fn expected_output_openings_matches_geometry_shape() { let dimensions = InstructionReadRafDimensions::try_from((5, 128, 3)).unwrap(); let expected: std::collections::BTreeSet<_> = { @@ -251,14 +299,13 @@ mod tests { /// Pins the canonical-address term inside `EqRafFlag`. /// /// The term is what forces `Σ_j eq(r_red,j)·RafFlag_j·U(k_j) = 0`, and it is - /// invisible in the symbolic relation — it rides inside a derived public. A + /// invisible in the symbolic relation -- it rides inside a derived public. A /// refactor that dropped it would still typecheck, still produce a /// well-formed proof, and silently reopen the fp128 alias. Asserting the /// closed form (rather than just "nonzero") also pins the γ *power* and the /// leading-half slice, the two transposition traps. #[test] #[expect( - clippy::unwrap_used, clippy::as_conversions, clippy::indexing_slicing, clippy::integer_division, @@ -333,4 +380,64 @@ mod tests { assert_eq!(actual, eq_reduction * baseline); } } + + #[test] + fn read_raf_output_uses_the_current_point_and_rejects_malformed_points() { + let relation = InstructionReadRaf::::new( + InstructionReadRafDimensions::try_from((2, 128, 4)).unwrap(), + ); + let zero = Fr::from_u64(0); + let one = Fr::from_u64(1); + let input_points = InstructionReadRafInputClaims { + lookup_output: vec![zero; 2], + left_lookup_operand: vec![zero; 2], + right_lookup_operand: vec![zero; 2], + }; + // Interleaved operand address (left, right) = (0, 1). + let mut last_chunk = vec![zero; 31]; + last_chunk.extend([one, zero, zero]); + let mut points = InstructionReadRafOutputClaims { + lookup_table_flags: vec![vec![zero; 2]; LookupTableKind::::COUNT], + instruction_ra: vec![ + vec![zero; 34], + vec![zero; 34], + vec![zero; 34], + last_chunk, + ], + instruction_raf_flag: vec![zero; 2], + }; + let values = InstructionReadRafOutputClaims { + lookup_table_flags: vec![zero; LookupTableKind::::COUNT], + instruction_ra: vec![one; 4], + instruction_raf_flag: zero, + }; + let challenges = InstructionReadRafChallenges { + gamma: Fr::from_u64(7), + }; + assert_eq!( + relation + .expected_output(&input_points, &values, &points, &challenges) + .unwrap(), + Fr::from_u64(49) + ); + points.instruction_ra = vec![vec![zero; 34]; 4]; + assert_eq!( + relation + .expected_output(&input_points, &values, &points, &challenges) + .unwrap(), + zero + ); + points.instruction_ra.truncate(3); + assert!(matches!( + relation.expected_output(&input_points, &values, &points, &challenges), + Err(VerifierError::StageClaimPublicInputFailed { .. }) + )); + points.instruction_ra = vec![vec![zero; 34]; 4]; + points.instruction_raf_flag.truncate(1); + assert!(matches!( + relation.expected_output(&input_points, &values, &points, &challenges), + Err(VerifierError::StageClaimPublicInputFailed { .. }) + )); + } + } From 407e5de3c6c82eb891e17e4f062d1c5bdb87412f Mon Sep 17 00:00:00 2001 From: acentelles Date: Sat, 24 Oct 2026 09:27:14 +0100 Subject: [PATCH 011/131] style: rustfmt the instruction read RAF tests --- .../src/stages/stage5/instruction_read_raf.rs | 13 +++++-------- 1 file changed, 5 insertions(+), 8 deletions(-) diff --git a/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs b/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs index 3d73fa6c7e..5365fae8e4 100644 --- a/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs +++ b/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs @@ -263,7 +263,10 @@ impl ConcreteSumcheck for InstructionReadRaf { } #[cfg(test)] -#[expect(clippy::unwrap_used, reason = "fixed valid dimensions in test fixtures")] +#[expect( + clippy::unwrap_used, + reason = "fixed valid dimensions in test fixtures" +)] mod tests { use super::*; use crate::stages::relations::ConcreteSumcheck; @@ -398,12 +401,7 @@ mod tests { last_chunk.extend([one, zero, zero]); let mut points = InstructionReadRafOutputClaims { lookup_table_flags: vec![vec![zero; 2]; LookupTableKind::::COUNT], - instruction_ra: vec![ - vec![zero; 34], - vec![zero; 34], - vec![zero; 34], - last_chunk, - ], + instruction_ra: vec![vec![zero; 34], vec![zero; 34], vec![zero; 34], last_chunk], instruction_raf_flag: vec![zero; 2], }; let values = InstructionReadRafOutputClaims { @@ -439,5 +437,4 @@ mod tests { Err(VerifierError::StageClaimPublicInputFailed { .. }) )); } - } From fb0c01a42eacb561612f14fd72b9469e33a12b0b Mon Sep 17 00:00:00 2001 From: acentelles Date: Sun, 25 Oct 2026 06:37:51 +0000 Subject: [PATCH 012/131] Add opt-in RV64 word memory routines for recursion --- examples/recursion/Cargo.toml | 1 + examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/main.rs | 2 + jolt-platform/Cargo.toml | 1 + jolt-platform/src/lib.rs | 5 + jolt-platform/src/word_memory.S | 207 +++++++++++++++++++++++++ jolt-platform/src/word_memory.rs | 11 ++ jolt-platform/tests/run-word-memory.sh | 16 ++ jolt-platform/tests/word_memory.c | 133 ++++++++++++++++ jolt-sdk/Cargo.toml | 1 + 10 files changed, 378 insertions(+) create mode 100644 jolt-platform/src/word_memory.S create mode 100644 jolt-platform/src/word_memory.rs create mode 100644 jolt-platform/tests/run-word-memory.sh create mode 100644 jolt-platform/tests/word_memory.c diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 22aacf840e..3604dab859 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -8,6 +8,7 @@ name = "recursion" path = "src/main.rs" [features] +word-memory = [] ntt-inline = ["akita", "dep:jolt-inlines-ntt"] # Non-default: default workspace builds must not unify field-inline into the # verifier stack. The recursion flow needs it. diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index c09cdd2f89..e9e821ae89 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -6,6 +6,7 @@ edition = "2021" [features] ntt-inline = ["akita", "jolt-akita/ntt-inline"] guest = [] +word-memory = ["jolt_sdk/word-memory"] field-inline = ["jolt_sdk/field-inline"] # The field the field-inline unit computes in: BN254 `Fr` under Dory, the # Fp128 protocol prime under Akita. The host selects the one its tracer uses. diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 7c5938b582..101332d94c 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -895,6 +895,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { #[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] program.add_guest_feature("l2-terminal-quotient"); program.add_guest_feature("fast-alloc"); + #[cfg(feature = "word-memory")] + program.add_guest_feature("word-memory"); program.add_guest_feature("hash-inlines"); #[cfg(all(feature = "akita", feature = "l3-compression-weights"))] program.add_guest_feature("l3-compression-weights"); diff --git a/jolt-platform/Cargo.toml b/jolt-platform/Cargo.toml index 6d303d848c..5a58a3c2e6 100644 --- a/jolt-platform/Cargo.toml +++ b/jolt-platform/Cargo.toml @@ -19,6 +19,7 @@ edition = "2021" std = ["random"] random = ["dep:getrandom_v02", "dep:getrandom_v03", "dep:rand"] malloc-shim = [] +word-memory = [] [dependencies] rand = { workspace = true, default-features = false, features = [ diff --git a/jolt-platform/src/lib.rs b/jolt-platform/src/lib.rs index f9fbf0c69d..7d7bc4c78f 100644 --- a/jolt-platform/src/lib.rs +++ b/jolt-platform/src/lib.rs @@ -32,3 +32,8 @@ pub mod size_class_alloc; any(target_arch = "riscv32", target_arch = "riscv64") ))] mod malloc_shim; + +// Keep this opt-in guest module after existing lines: disabled experiments +// must preserve the frozen guest's panic locations and executable image. +#[cfg(all(feature = "word-memory", target_arch = "riscv64"))] +mod word_memory; diff --git a/jolt-platform/src/word_memory.S b/jolt-platform/src/word_memory.S new file mode 100644 index 0000000000..1b9fb0df0e --- /dev/null +++ b/jolt-platform/src/word_memory.S @@ -0,0 +1,207 @@ +/* RV64 little-endian memory routines. Only caller-saved registers are used. + * memcpy reads/writes exactly the requested ranges and returns the original + * destination. Overlapping ranges retain memcpy's ordinary undefined contract. + * memcmp returns the difference of the first unequal unsigned bytes. + */ +.text +.option push +.option norvc +.p2align 2 +.globl memcpy +.type memcpy,@function +memcpy: + beqz a2, .Lmc_done + mv t0, a0 + xor t1, a0, a1 + andi t1, t1, 7 + bnez t1, .Lmc_shift_prefix +.Lmc_align: + andi t1, t0, 7 + beqz t1, .Lmc_aligned + lbu t2, 0(a1) + sb t2, 0(t0) + addi a1, a1, 1 + addi t0, t0, 1 + addi a2, a2, -1 + bnez a2, .Lmc_align + ret +.Lmc_aligned: + li t1, 64 + bltu a2, t1, .Lmc_words +.Lmc_64: + ld t2, 0(a1) + sd t2, 0(t0) + ld t2, 8(a1) + sd t2, 8(t0) + ld t2, 16(a1) + sd t2, 16(t0) + ld t2, 24(a1) + sd t2, 24(t0) + ld t2, 32(a1) + sd t2, 32(t0) + ld t2, 40(a1) + sd t2, 40(t0) + ld t2, 48(a1) + sd t2, 48(t0) + ld t2, 56(a1) + sd t2, 56(t0) + addi a1, a1, 64 + addi t0, t0, 64 + addi a2, a2, -64 + bgeu a2, t1, .Lmc_64 +.Lmc_words: + li t1, 8 + bltu a2, t1, .Lmc_byte_check +.Lmc_word: + ld t2, 0(a1) + sd t2, 0(t0) + addi a1, a1, 8 + addi t0, t0, 8 + addi a2, a2, -8 + bgeu a2, t1, .Lmc_word + j .Lmc_byte_check + +/* Align the source first, then the destination. Thereafter floor(src/8)*8 + * is at or above the first aligned source address inside the allocation. + * If fewer bytes exist, the byte loop returns before any wide load. + */ +.Lmc_shift_prefix: + andi t1, a1, 7 + beqz t1, .Lmc_shift_align +.Lmc_source_align: + lbu t2, 0(a1) + sb t2, 0(t0) + addi a1, a1, 1 + addi t0, t0, 1 + addi a2, a2, -1 + beqz a2, .Lmc_done + andi t1, a1, 7 + bnez t1, .Lmc_source_align +.Lmc_shift_align: + andi t1, t0, 7 + beqz t1, .Lmc_shift_init + lbu t2, 0(a1) + sb t2, 0(t0) + addi a1, a1, 1 + addi t0, t0, 1 + addi a2, a2, -1 + bnez a2, .Lmc_shift_align + ret +.Lmc_shift_init: + li t1, 16 + bltu a2, t1, .Lmc_byte + andi t5, a1, 7 + slli t3, t5, 3 + li t4, 64 + sub t4, t4, t3 + andi a3, a1, -8 + ld t2, 0(a3) + li t1, 40 + bltu a2, t1, .Lmc_shift_words +/* At least 40 source bytes remain. The highest aligned read ends no later + * than src+40. Four exact destination words are produced, and the final + * source word becomes the next iteration's lower word. + */ +.Lmc_shift_32: + ld t6, 8(a3) + srl a4, t2, t3 + sll a6, t6, t4 + or a4, a4, a6 + sd a4, 0(t0) + ld t2, 16(a3) + srl a4, t6, t3 + sll a6, t2, t4 + or a4, a4, a6 + sd a4, 8(t0) + ld t6, 24(a3) + srl a4, t2, t3 + sll a6, t6, t4 + or a4, a4, a6 + sd a4, 16(t0) + ld t2, 32(a3) + srl a4, t6, t3 + sll a6, t2, t4 + or a4, a4, a6 + sd a4, 24(t0) + addi a3, a3, 32 + addi t0, t0, 32 + addi a2, a2, -32 + bgeu a2, t1, .Lmc_shift_32 +.Lmc_shift_words: + li t1, 16 + bltu a2, t1, .Lmc_shift_tail +.Lmc_shift_word: + ld t6, 8(a3) + srl a4, t2, t3 + sll a6, t6, t4 + or a4, a4, a6 + sd a4, 0(t0) + mv t2, t6 + addi a3, a3, 8 + addi t0, t0, 8 + addi a2, a2, -8 + bgeu a2, t1, .Lmc_shift_word +.Lmc_shift_tail: + add a1, a3, t5 +.Lmc_byte_check: + beqz a2, .Lmc_done +.Lmc_byte: + lbu t2, 0(a1) + sb t2, 0(t0) + addi a1, a1, 1 + addi t0, t0, 1 + addi a2, a2, -1 + bnez a2, .Lmc_byte +.Lmc_done: + ret +.size memcpy, .-memcpy + +.p2align 2 +.globl memcmp +.type memcmp,@function +memcmp: + beqz a2, .Lcmp_equal + xor t0, a0, a1 + andi t0, t0, 7 + bnez t0, .Lcmp_byte +.Lcmp_align: + andi t0, a0, 7 + beqz t0, .Lcmp_words + lbu t1, 0(a0) + lbu t2, 0(a1) + bne t1, t2, .Lcmp_different + addi a0, a0, 1 + addi a1, a1, 1 + addi a2, a2, -1 + bnez a2, .Lcmp_align + j .Lcmp_equal +.Lcmp_words: + li t0, 8 + bltu a2, t0, .Lcmp_byte_check +.Lcmp_word: + ld t1, 0(a0) + ld t2, 0(a1) + bne t1, t2, .Lcmp_byte + addi a0, a0, 8 + addi a1, a1, 8 + addi a2, a2, -8 + bgeu a2, t0, .Lcmp_word +.Lcmp_byte_check: + beqz a2, .Lcmp_equal +.Lcmp_byte: + lbu t1, 0(a0) + lbu t2, 0(a1) + bne t1, t2, .Lcmp_different + addi a0, a0, 1 + addi a1, a1, 1 + addi a2, a2, -1 + bnez a2, .Lcmp_byte +.Lcmp_equal: + li a0, 0 + ret +.Lcmp_different: + sub a0, t1, t2 + ret +.size memcmp, .-memcmp +.option pop +.section .note.GNU-stack,"",@progbits diff --git a/jolt-platform/src/word_memory.rs b/jolt-platform/src/word_memory.rs new file mode 100644 index 0000000000..253bb9e84d --- /dev/null +++ b/jolt-platform/src/word_memory.rs @@ -0,0 +1,11 @@ +//! Optional RV64 memory routines using only existing integer instructions. +//! +//! The assembly copies object representations, including uninitialized bytes, +//! without materializing them as Rust integer values. Every load and store is +//! contained in the caller's ranges; the shifted path never rounds a read +//! outside those ranges. `memcpy` retains its non-overlap precondition. +//! +//! The source is also compiled directly by tests/run-word-memory.sh on a Linux +//! RISC-V runner. No new VM instruction, proof grammar, or transcript is added. + +core::arch::global_asm!(include_str!("word_memory.S")); diff --git a/jolt-platform/tests/run-word-memory.sh b/jolt-platform/tests/run-word-memory.sh new file mode 100644 index 0000000000..10dfafb0e7 --- /dev/null +++ b/jolt-platform/tests/run-word-memory.sh @@ -0,0 +1,16 @@ +#!/usr/bin/env bash +set -euo pipefail +# Linux rental only. The test executes the same assembly that the guest links. +if [[ "$(uname -s)" != Linux ]]; then + echo "word-memory tests require the Linux validation box" >&2 + exit 2 +fi +test_dir="$(dirname "$(realpath "$0")")" +test_out="${WORD_MEMORY_TEST_OUT:-/tmp/jolt-word-memory-tests}" +mkdir -p "$test_out" +riscv64-linux-gnu-gcc -static -O2 -Wall -Wextra -Werror \ + -fno-builtin -fno-tree-loop-distribute-patterns \ + -march=rv64gc -mabi=lp64d \ + "$test_dir/word_memory.c" "$test_dir/../src/word_memory.S" \ + -o "$test_out/word-memory-tests" +qemu-riscv64 "$test_out/word-memory-tests" diff --git a/jolt-platform/tests/word_memory.c b/jolt-platform/tests/word_memory.c new file mode 100644 index 0000000000..fde8b77554 --- /dev/null +++ b/jolt-platform/tests/word_memory.c @@ -0,0 +1,133 @@ +/* Unit tests for the actual RV64 assembly, executed under qemu-riscv64. + * Compile with builtins and loop-to-libcall conversion disabled. The oracle + * reads volatile bytes, independent of either memory routine under test. + */ +#define _GNU_SOURCE +#include +#include +#include +#include +#include +#include +#include + +static void *(*volatile copy_fn)(void *, const void *, size_t) = memcpy; +static int (*volatile compare_fn)(const void *, const void *, size_t) = memcmp; + +static int byte_compare(const volatile unsigned char *a, + const volatile unsigned char *b, size_t n) { + for (size_t i = 0; i < n; ++i) { + unsigned char x = a[i], y = b[i]; + if (x != y) return (int)x - (int)y; + } + return 0; +} + +static void fill(volatile unsigned char *p, size_t n, unsigned seed) { + for (size_t i = 0; i < n; ++i) + p[i] = (unsigned char)((i * 131u + seed) ^ (i >> 3)); +} + +static void all_copy_alignments(void) { + _Alignas(64) unsigned char source[640], dest[640]; + fill(source, sizeof source, 19); + for (size_t s = 0; s < 8; ++s) { + for (size_t d = 0; d < 8; ++d) { + for (size_t n = 0; n <= 257; ++n) { + for (size_t i = 0; i < sizeof dest; ++i) dest[i] = 0xa5; + assert(copy_fn(dest + 32 + d, source + 32 + s, n) == dest + 32 + d); + for (size_t i = 0; i < sizeof dest; ++i) { + unsigned char expected = 0xa5; + if (i >= 32 + d && i - (32 + d) < n) + expected = source[32 + s + i - (32 + d)]; + assert(((volatile unsigned char *)dest)[i] == expected); + } + } + } + } + puts("PASS copy_all_alignments_lengths_and_canaries"); +} + +static void all_compare_alignments(void) { + _Alignas(64) unsigned char a[640], b[640]; + for (size_t x = 0; x < 8; ++x) { + for (size_t y = 0; y < 8; ++y) { + for (size_t n = 0; n <= 257; ++n) { + fill(a + x, n, 31); + fill(b + y, n, 31); + assert(compare_fn(a + x, b + y, n) == 0); + for (size_t i = 0; i < n; ++i) { + if (n > 65 && i != 0 && i != n / 2 && i + 1 != n) continue; + b[y + i] ^= 0x80; + assert(compare_fn(a + x, b + y, n) == byte_compare(a + x, b + y, n)); + assert(compare_fn(b + y, a + x, n) == byte_compare(b + y, a + x, n)); + b[y + i] ^= 0x80; + } + } + } + } + puts("PASS compare_all_alignments_first_difference_and_unsigned_order"); +} + +static unsigned char *guarded(size_t page) { + void *p = mmap(NULL, page * 3, PROT_NONE, MAP_PRIVATE | MAP_ANONYMOUS, -1, 0); + assert(p != MAP_FAILED); + unsigned char *middle = (unsigned char *)p + page; + assert(mprotect(middle, page, PROT_READ | PROT_WRITE) == 0); + return middle; +} + +static void guard_pages_and_long_copies(void) { + long page_result = sysconf(_SC_PAGESIZE); + assert(page_result >= 4096); + size_t page = (size_t)page_result; + unsigned char *a = guarded(page), *b = guarded(page); + for (size_t n = 0; n <= page - 16; n += (n < 160 ? 1 : 97)) { + for (size_t offset = 0; offset < 8; ++offset) { + fill(a, page, 83); + fill(b, page, 17); + unsigned char *source = a + page - n; + unsigned char *dest = b + offset; + assert(copy_fn(dest, source, n) == dest); + assert(byte_compare(dest, source, n) == 0); + assert(compare_fn(dest, source, n) == 0); + source = a + offset; + dest = b + page - n; + assert(copy_fn(dest, source, n) == dest); + assert(byte_compare(dest, source, n) == 0); + assert(compare_fn(dest, source, n) == 0); + } + } + assert(copy_fn(b, a, page) == b); + assert(byte_compare(a, b, page) == 0); + assert(compare_fn(a, b, page) == 0); + assert(compare_fn(a, a, page) == 0); + /* Zero-length calls must not dereference either inaccessible page. */ + assert(copy_fn(b - page, a - page, 0) == b - page); + assert(compare_fn(a - page, b - page, 0) == 0); + assert(munmap(a - page, page * 3) == 0); + assert(munmap(b - page, page * 3) == 0); + puts("PASS guard_pages_both_ends_long_copies_equal_alias_and_zero_length"); +} + +static void uninitialized_object_copy(void) { + unsigned char *a = malloc(4096), *b = malloc(4096); + assert(a != NULL && b != NULL); + /* Inspecting these representations as integers in Rust would be invalid. + * The assembly copies them without any language-level integer read. */ + for (size_t x = 0; x < 8; ++x) + for (size_t y = 0; y < 8; ++y) + assert(copy_fn(b + y, a + x, 2048) == b + y); + free(a); + free(b); + puts("PASS uninitialized_object_representations"); +} + +int main(void) { + all_copy_alignments(); + all_compare_alignments(); + guard_pages_and_long_copies(); + uninitialized_object_copy(); + puts("WORD_MEMORY_UNIT_TESTS_PASS"); + return 0; +} diff --git a/jolt-sdk/Cargo.toml b/jolt-sdk/Cargo.toml index a993355fca..4287e697bb 100644 --- a/jolt-sdk/Cargo.toml +++ b/jolt-sdk/Cargo.toml @@ -87,6 +87,7 @@ guest-verifier = [ ] malloc-shim = ["jolt-platform/malloc-shim"] +word-memory = ["jolt-platform/word-memory"] transcript-poseidon = ["jolt-transcript/transcript-poseidon"] transcript-keccak = ["jolt-transcript/transcript-keccak"] transcript-blake2b = ["jolt-transcript/transcript-blake2b"] From da9243b9119a61c0079116d1a6055213b817341e Mon Sep 17 00:00:00 2001 From: acentelles Date: Sun, 25 Oct 2026 07:11:05 +0000 Subject: [PATCH 013/131] Preserve assembler sections around word memory routines --- jolt-platform/src/word_memory.S | 7 +++++-- jolt-platform/tests/run-word-memory.sh | 2 +- jolt-platform/tests/word_memory.c | 3 +++ jolt-platform/tests/word_memory_with_section_probe.S | 12 ++++++++++++ 4 files changed, 21 insertions(+), 3 deletions(-) create mode 100644 jolt-platform/tests/word_memory_with_section_probe.S diff --git a/jolt-platform/src/word_memory.S b/jolt-platform/src/word_memory.S index 1b9fb0df0e..0ea8c465a7 100644 --- a/jolt-platform/src/word_memory.S +++ b/jolt-platform/src/word_memory.S @@ -3,7 +3,8 @@ * destination. Overlapping ranges retain memcpy's ordinary undefined contract. * memcmp returns the difference of the first unequal unsigned bytes. */ -.text +/* global_asm blocks share assembler state inside the linked Rust unit. */ +.pushsection .text.jolt_word_memory,"ax",@progbits .option push .option norvc .p2align 2 @@ -204,4 +205,6 @@ memcmp: ret .size memcmp, .-memcmp .option pop -.section .note.GNU-stack,"",@progbits +.popsection +.pushsection .note.GNU-stack,"",@progbits +.popsection diff --git a/jolt-platform/tests/run-word-memory.sh b/jolt-platform/tests/run-word-memory.sh index 10dfafb0e7..c3982a069e 100644 --- a/jolt-platform/tests/run-word-memory.sh +++ b/jolt-platform/tests/run-word-memory.sh @@ -11,6 +11,6 @@ mkdir -p "$test_out" riscv64-linux-gnu-gcc -static -O2 -Wall -Wextra -Werror \ -fno-builtin -fno-tree-loop-distribute-patterns \ -march=rv64gc -mabi=lp64d \ - "$test_dir/word_memory.c" "$test_dir/../src/word_memory.S" \ + "$test_dir/word_memory.c" "$test_dir/word_memory_with_section_probe.S" \ -o "$test_out/word-memory-tests" qemu-riscv64 "$test_out/word-memory-tests" diff --git a/jolt-platform/tests/word_memory.c b/jolt-platform/tests/word_memory.c index fde8b77554..a2753de3f5 100644 --- a/jolt-platform/tests/word_memory.c +++ b/jolt-platform/tests/word_memory.c @@ -13,6 +13,7 @@ static void *(*volatile copy_fn)(void *, const void *, size_t) = memcpy; static int (*volatile compare_fn)(const void *, const void *, size_t) = memcmp; +extern int word_memory_section_probe(void); static int byte_compare(const volatile unsigned char *a, const volatile unsigned char *b, size_t n) { @@ -124,6 +125,8 @@ static void uninitialized_object_copy(void) { } int main(void) { + assert(word_memory_section_probe() == 291); + puts("PASS assembler_section_restored_for_subsequent_code"); all_copy_alignments(); all_compare_alignments(); guard_pages_and_long_copies(); diff --git a/jolt-platform/tests/word_memory_with_section_probe.S b/jolt-platform/tests/word_memory_with_section_probe.S new file mode 100644 index 0000000000..7153ae9b07 --- /dev/null +++ b/jolt-platform/tests/word_memory_with_section_probe.S @@ -0,0 +1,12 @@ +/* Include the production body in a translation unit with subsequent code. + * A leaked .note.GNU-stack section makes the probe non-executable, matching + * the failure mode of later global_asm blocks in the Rust guest. + */ +.text +#include "../src/word_memory.S" +.globl word_memory_section_probe +.type word_memory_section_probe,@function +word_memory_section_probe: + li a0, 291 + ret +.size word_memory_section_probe, .-word_memory_section_probe From 8ebf215212d3cc850d1e8086dfc17564b6a73662 Mon Sep 17 00:00:00 2001 From: acentelles Date: Sun, 25 Oct 2026 08:44:34 +0000 Subject: [PATCH 014/131] perf(recursion): turn word memory routines on by default The recursion example enables word-memory by default next to the factored compression weights, the terminal quotient certificate and word decoding. The host forwards it to the guest only together with akita, so Dory builds are unchanged. --no-default-features turns all four off. Host-side Cargo and cfg changes only. --- examples/recursion/Cargo.toml | 2 +- examples/recursion/src/main.rs | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 3604dab859..dace2fe1a0 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -28,7 +28,7 @@ akita = [ # points instead of the exact product. Word decoding: the guest decodes # fixed-wire field elements by word with the same canonicality checks. Turn # all three off with --no-default-features. -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode"] +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory"] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] word-decode = ["jolt-akita?/word-decode"] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 101332d94c..d3ea3061d8 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -895,7 +895,7 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { #[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] program.add_guest_feature("l2-terminal-quotient"); program.add_guest_feature("fast-alloc"); - #[cfg(feature = "word-memory")] + #[cfg(all(feature = "akita", feature = "word-memory"))] program.add_guest_feature("word-memory"); program.add_guest_feature("hash-inlines"); #[cfg(all(feature = "akita", feature = "l3-compression-weights"))] From ec01b725e9c5aa2515fad9203553f59a2bc3cacc Mon Sep 17 00:00:00 2001 From: acentelles Date: Sun, 25 Oct 2026 11:22:11 +0000 Subject: [PATCH 015/131] build(akita): pin the recursion verifier changes on the Akita fork The recursion example's default features use Akita changes that are not in LayerZero-Labs/akita yet. Pin the Akita crates to the fork commit that carries them so a fresh checkout builds the measured configuration. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 26 ++++++++++++++------------ 2 files changed, 30 insertions(+), 28 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 0f32212fd7..0135f1cb13 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=ee03aa30544caaa3f5f2948b222790b919e9b8e7#ee03aa30544caaa3f5f2948b222790b919e9b8e7" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 523c2bcd2d..363283796a 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,18 +306,20 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# LayerZero-Labs/akita branch markos/recursion-integration: akita cf95fd05 -# (the revision Jolt main pins) plus the recursion verifier-guest PRs -# (LayerZero-Labs/akita#186-#190). Repin to akita main once those merge. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "ee03aa30544caaa3f5f2948b222790b919e9b8e7", default-features = false } +# Akita markos/recursion-integration (ee03aa30, LayerZero-Labs/akita#186-#190) +# plus the recursion verifier changes on Acentelles/akita-lz: factored +# compression weights, the terminal quotient certificate, transposed quotient +# right sides, the L2 proof bound, batched reduced setup rows and signed sparse +# accumulation. Repin to LayerZero-Labs/akita once those land there. +akita-algebra = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +akita-config = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +akita-error = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +akita-pcs = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +akita-planner = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +akita-schedules = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +akita-challenges = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +akita-types = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +akita-params = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From 63c4870b1a5725693d1daf539049d355357a6e37 Mon Sep 17 00:00:00 2001 From: acentelles Date: Sun, 25 Oct 2026 18:36:54 +0000 Subject: [PATCH 016/131] perf(recursion): build the recursion verifier guest with inline-threshold 1000 and one codegen unit by default The recursion host now builds the verifier guest with ZEROOS_GUEST_RUSTFLAGS=-Cllvm-args=-inline-threshold=1000 and CARGO_PROFILE_RELEASE_CODEGEN_UNITS=1 (new default feature guest-codegen). The settings apply to the verifier guest build only; the inner guests and their proofs are unchanged. A value the caller already set for either variable wins. RECURSION_GUEST_CODEGEN=off, or building without the feature (--no-default-features), restores the stock guest build. Host-side Cargo and source changes only. --- examples/recursion/Cargo.toml | 7 ++++-- examples/recursion/src/main.rs | 41 +++++++++++++++++++++++++++++++++- 2 files changed, 45 insertions(+), 3 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index dace2fe1a0..f95ae05648 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -27,8 +27,11 @@ akita = [ # quotient (protocol identifier v7-l2tq1) and the guest checks it at two # points instead of the exact product. Word decoding: the guest decodes # fixed-wire field elements by word with the same canonicality checks. Turn -# all three off with --no-default-features. -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory"] +# all three off with --no-default-features. guest-codegen: the verifier guest +# is built with -Cllvm-args=-inline-threshold=1000 and one codegen unit (host +# side only; RECURSION_GUEST_CODEGEN=off restores the stock guest build). +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen"] +guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] word-decode = ["jolt-akita?/word-decode"] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index d3ea3061d8..643796ecff 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1049,6 +1049,45 @@ fn tamper_l2( save_proof_data(guest, &tampered, output); } +/// Guest build settings the verifier guest uses by default (feature +/// `guest-codegen`): a higher LLVM inline threshold and one codegen unit for +/// the guest's release profile. Measured as the fewest trace rows of the +/// guest build configurations screened at inner sizes 2^12 and 2^20; the inner +/// proofs are unchanged. A value the caller already set for either variable +/// wins, and `RECURSION_GUEST_CODEGEN=off` (or building without the feature) +/// restores the stock guest build. +const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ + ( + "ZEROOS_GUEST_RUSTFLAGS", + "-Cllvm-args=-inline-threshold=1000", + ), + ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), +]; + +/// Builds the verifier guest, applying the default guest build settings to +/// this build only (the inner guests keep the stock settings). +fn build_recursion_guest(program: &mut Program, target_dir: &str) { + let enabled = cfg!(feature = "guest-codegen") + && !matches!( + std::env::var("RECURSION_GUEST_CODEGEN").as_deref(), + Ok("off") + ); + let mut applied = Vec::new(); + if enabled { + for (key, value) in RECURSION_GUEST_CODEGEN { + if std::env::var_os(key).is_none() { + std::env::set_var(key, value); + applied.push(key); + } + } + } + info!(" recursion guest build settings: {applied:?}"); + program.build(target_dir); + for key in applied { + std::env::remove_var(key); + } +} + fn run_recursion_proof( guest: GuestProgram, run_config: RunConfig, @@ -1059,7 +1098,7 @@ fn run_recursion_proof( let target_dir = "/tmp/jolt-guest-targets"; let mut program = configured_recursion_program(memory_config); - program.build(target_dir); + build_recursion_guest(&mut program, target_dir); match run_config { RunConfig::Trace(expected) | RunConfig::TraceToFile(expected) => { let io_device = if matches!(run_config, RunConfig::Trace(_)) { From 7fe2a92de5771c1a519a290ccf5cfba123807c36 Mon Sep 17 00:00:00 2001 From: acentelles Date: Sun, 25 Oct 2026 21:23:06 +0000 Subject: [PATCH 017/131] perf(recursion): raise the recursion verifier guest inline threshold to 1750 The guest-codegen default for the recursion verifier guest build moves from -Cllvm-args=-inline-threshold=1000 to -Cllvm-args=-inline-threshold=1750, still with one codegen unit. Thresholds of 2000 and above fail to link the guest. A caller value for ZEROOS_GUEST_RUSTFLAGS still wins, and RECURSION_GUEST_CODEGEN=off restores the stock guest build. Host-side source change only; the inner guests and their proofs are unchanged. --- examples/recursion/Cargo.toml | 2 +- examples/recursion/src/main.rs | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index f95ae05648..2aaabf85bb 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -28,7 +28,7 @@ akita = [ # points instead of the exact product. Word decoding: the guest decodes # fixed-wire field elements by word with the same canonicality checks. Turn # all three off with --no-default-features. guest-codegen: the verifier guest -# is built with -Cllvm-args=-inline-threshold=1000 and one codegen unit (host +# is built with -Cllvm-args=-inline-threshold=1750 and one codegen unit (host # side only; RECURSION_GUEST_CODEGEN=off restores the stock guest build). default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen"] guest-codegen = [] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 643796ecff..04105479b8 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1059,7 +1059,7 @@ fn tamper_l2( const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ ( "ZEROOS_GUEST_RUSTFLAGS", - "-Cllvm-args=-inline-threshold=1000", + "-Cllvm-args=-inline-threshold=1750", ), ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), ]; From e50659de352206ff4675966ec5c7503441e94781 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 03:32:11 +0000 Subject: [PATCH 018/131] perf(recursion): enable GVN hoisting and DFA jump threading in the recursion verifier guest build The guest-codegen default for the recursion verifier guest build adds -Cllvm-args=-enable-gvn-hoist and -Cllvm-args=-enable-dfa-jump-thread to -Cllvm-args=-inline-threshold=1750, still with one codegen unit. A caller value for ZEROOS_GUEST_RUSTFLAGS still wins, and RECURSION_GUEST_CODEGEN=off restores the stock guest build. Host-side source change only; the inner guests and their proofs are unchanged. --- examples/recursion/Cargo.toml | 5 +++-- examples/recursion/src/main.rs | 2 +- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 2aaabf85bb..11807bd786 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -28,8 +28,9 @@ akita = [ # points instead of the exact product. Word decoding: the guest decodes # fixed-wire field elements by word with the same canonicality checks. Turn # all three off with --no-default-features. guest-codegen: the verifier guest -# is built with -Cllvm-args=-inline-threshold=1750 and one codegen unit (host -# side only; RECURSION_GUEST_CODEGEN=off restores the stock guest build). +# is built with -Cllvm-args=-inline-threshold=1750, -Cllvm-args=-enable-gvn-hoist, +# -Cllvm-args=-enable-dfa-jump-thread and one codegen unit (host side only; +# RECURSION_GUEST_CODEGEN=off restores the stock guest build). default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen"] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 04105479b8..027eff12db 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1059,7 +1059,7 @@ fn tamper_l2( const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ ( "ZEROOS_GUEST_RUSTFLAGS", - "-Cllvm-args=-inline-threshold=1750", + "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread", ), ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), ]; From 1a48794959ff88b976c61fa6c64c6aabb0103e68 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 06:51:12 +0000 Subject: [PATCH 019/131] perf(recursion): use ExtTSP block placement without tail merging in the recursion verifier guest build The guest-codegen default for the recursion verifier guest build adds -Cllvm-args=-enable-ext-tsp-block-placement and -Cllvm-args=-enable-tail-merge=false to the existing inline threshold, GVN hoisting and DFA jump threading flags, still with one codegen unit. A caller value for ZEROOS_GUEST_RUSTFLAGS still wins, and RECURSION_GUEST_CODEGEN=off restores the stock guest build. Host-side source change only; the inner guests and their proofs are unchanged. --- examples/recursion/Cargo.toml | 3 ++- examples/recursion/src/main.rs | 2 +- 2 files changed, 3 insertions(+), 2 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 11807bd786..ae19f13f84 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -29,7 +29,8 @@ akita = [ # fixed-wire field elements by word with the same canonicality checks. Turn # all three off with --no-default-features. guest-codegen: the verifier guest # is built with -Cllvm-args=-inline-threshold=1750, -Cllvm-args=-enable-gvn-hoist, -# -Cllvm-args=-enable-dfa-jump-thread and one codegen unit (host side only; +# -Cllvm-args=-enable-dfa-jump-thread, -Cllvm-args=-enable-ext-tsp-block-placement, +# -Cllvm-args=-enable-tail-merge=false and one codegen unit (host side only; # RECURSION_GUEST_CODEGEN=off restores the stock guest build). default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen"] guest-codegen = [] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 027eff12db..4199af6ceb 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1059,7 +1059,7 @@ fn tamper_l2( const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ ( "ZEROOS_GUEST_RUSTFLAGS", - "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread", + "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false", ), ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), ]; From 85bee6f27e237a7993c6a96150f81eb441432685 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 12:45:01 +0000 Subject: [PATCH 020/131] test(jolt-sdk): skip the Dory verifier fixture test under akita The verifier_api test verifies Dory fixtures with VerifierPCS (Dory). With jolt-sdk's akita feature, jolt_verifier::verify is the Akita path, whose OneHotTrace metadata bounds Dory does not implement, so the test target failed to compile (E0277) whenever akita was unified into jolt-sdk, for example through the recursion example's akita feature. Gate the test to builds without akita, like verifier_preprocessing_from_prover. --- jolt-sdk/tests/verifier_api.rs | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/jolt-sdk/tests/verifier_api.rs b/jolt-sdk/tests/verifier_api.rs index 8111799c0b..fed7488f7c 100644 --- a/jolt-sdk/tests/verifier_api.rs +++ b/jolt-sdk/tests/verifier_api.rs @@ -1,5 +1,7 @@ #[cfg(test)] -#[cfg(feature = "host")] +// The fixtures are Dory proofs, and `VerifierPCS` is Dory. With `akita`, +// `jolt_verifier::verify` is the Akita path, whose bounds Dory does not meet. +#[cfg(all(feature = "host", not(feature = "akita")))] mod tests { use jolt_sdk::{ deserialize_verifier_object, JoltDevice, JoltVerifierPreprocessing, RV64IMACProof, From 81cbce4f07455dfd03c96fe1d5001c1992605fe5 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 19:51:10 +0000 Subject: [PATCH 021/131] perf(recursion): use size-oriented spill splitting in the recursion verifier guest build The guest-codegen default for the recursion verifier guest build adds -Cllvm-args=-split-spill-mode=size to the existing inline threshold, GVN hoisting, DFA jump threading, ExtTSP block placement and no tail merging flags, still with one codegen unit. A caller value for ZEROOS_GUEST_RUSTFLAGS still wins, and RECURSION_GUEST_CODEGEN=off restores the stock guest build. Host-side source change only; the inner guests and their proofs are unchanged. --- examples/recursion/Cargo.toml | 3 ++- examples/recursion/src/main.rs | 2 +- 2 files changed, 3 insertions(+), 2 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index ae19f13f84..1d5259b58c 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -30,7 +30,8 @@ akita = [ # all three off with --no-default-features. guest-codegen: the verifier guest # is built with -Cllvm-args=-inline-threshold=1750, -Cllvm-args=-enable-gvn-hoist, # -Cllvm-args=-enable-dfa-jump-thread, -Cllvm-args=-enable-ext-tsp-block-placement, -# -Cllvm-args=-enable-tail-merge=false and one codegen unit (host side only; +# -Cllvm-args=-enable-tail-merge=false, -Cllvm-args=-split-spill-mode=size +# and one codegen unit (host side only; # RECURSION_GUEST_CODEGEN=off restores the stock guest build). default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen"] guest-codegen = [] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 4199af6ceb..db3c451ab3 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1059,7 +1059,7 @@ fn tamper_l2( const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ ( "ZEROOS_GUEST_RUSTFLAGS", - "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false", + "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false -Cllvm-args=-split-spill-mode=size", ), ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), ]; From 0d918f6cbc05d858bab6a2fede23a3de2dbd8c3b Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 19:51:10 +0000 Subject: [PATCH 022/131] perf(recursion): disable the RISC-V register cost-per-use model in the recursion verifier guest build The guest-codegen default for the recursion verifier guest build adds -Cllvm-args=-riscv-disable-cost-per-use=true to the existing inline threshold, GVN hoisting, DFA jump threading, ExtTSP block placement, no tail merging and size-oriented spill splitting flags, still with one codegen unit. A caller value for ZEROOS_GUEST_RUSTFLAGS still wins, and RECURSION_GUEST_CODEGEN=off restores the stock guest build. Host-side source change only; the inner guests and their proofs are unchanged. --- examples/recursion/Cargo.toml | 4 ++-- examples/recursion/src/main.rs | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 1d5259b58c..6d7d379916 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -30,8 +30,8 @@ akita = [ # all three off with --no-default-features. guest-codegen: the verifier guest # is built with -Cllvm-args=-inline-threshold=1750, -Cllvm-args=-enable-gvn-hoist, # -Cllvm-args=-enable-dfa-jump-thread, -Cllvm-args=-enable-ext-tsp-block-placement, -# -Cllvm-args=-enable-tail-merge=false, -Cllvm-args=-split-spill-mode=size -# and one codegen unit (host side only; +# -Cllvm-args=-enable-tail-merge=false, -Cllvm-args=-split-spill-mode=size, +# -Cllvm-args=-riscv-disable-cost-per-use=true and one codegen unit (host side only; # RECURSION_GUEST_CODEGEN=off restores the stock guest build). default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen"] guest-codegen = [] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index db3c451ab3..48c2bb693e 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1059,7 +1059,7 @@ fn tamper_l2( const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ ( "ZEROOS_GUEST_RUSTFLAGS", - "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false -Cllvm-args=-split-spill-mode=size", + "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false -Cllvm-args=-split-spill-mode=size -Cllvm-args=-riscv-disable-cost-per-use=true", ), ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), ]; From f7697910ec4b9786c1064b44f32133eafaca5519 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 15:45:27 +0000 Subject: [PATCH 023/131] Forward optional no-carry tensor contractions to recursion guests --- crates/jolt-akita/Cargo.toml | 1 + examples/recursion/Cargo.toml | 1 + examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/main.rs | 2 ++ 4 files changed, 5 insertions(+) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index b6b2c9c577..a780930c91 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -34,6 +34,7 @@ l3-compression-weights = ["akita-types/l3-compression-weights"] word-transcript = ["jolt-transcript/word-transcript"] word-decode = ["jolt-field/word-decode"] ont-static-base = ["akita-challenges/ont-static-base"] +tensor-no-carry = ["akita-algebra/tensor-no-carry"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 6d7d379916..6e0b54e6f7 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -42,6 +42,7 @@ word-decode = ["jolt-akita?/word-decode"] # Each remaining arm is selected independently and forwarded to the guest. word-transcript = ["akita", "jolt-akita/word-transcript"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] +tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index e9e821ae89..24793f1f15 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -33,6 +33,7 @@ l3-compression-weights = ["akita", "jolt-akita/l3-compression-weights"] word-transcript = ["akita", "jolt-akita/word-transcript"] word-decode = ["akita", "jolt-akita/word-decode"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] +tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 48c2bb693e..c539d15685 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -906,6 +906,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("word-decode"); #[cfg(feature = "ont-static-base")] program.add_guest_feature("ont-static-base"); + #[cfg(feature = "tensor-no-carry")] + program.add_guest_feature("tensor-no-carry"); program.set_memory_config(memory_config); program } From f21f1295178c6da89c5499f513f76c6a2f7bcf5d Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 19:08:29 +0000 Subject: [PATCH 024/131] perf(recursion): turn no-carry tensor contractions on by default The recursion host enables tensor-no-carry by default (weak dependency on jolt-akita, as the other default verifier arms) and forwards it to the verifier guest. The guest's Akita separates dense residual equality weights into a high-part sum and a no-carry low span; the field values, proofs and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 6e0b54e6f7..bfc1ffd528 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -33,16 +33,19 @@ akita = [ # -Cllvm-args=-enable-tail-merge=false, -Cllvm-args=-split-spill-mode=size, # -Cllvm-args=-riscv-disable-cost-per-use=true and one codegen unit (host side only; # RECURSION_GUEST_CODEGEN=off restores the stock guest build). -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen"] +# tensor-no-carry: the verifier guest (and the host's Akita) separate dense +# residual equality weights into a high-part sum and a no-carry low span; same +# field values. Default on; effective only with `akita`. +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry"] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] word-decode = ["jolt-akita?/word-decode"] +tensor-no-carry = ["jolt-akita?/tensor-no-carry"] # Each remaining arm is selected independently and forwarded to the guest. word-transcript = ["akita", "jolt-akita/word-transcript"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] -tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } From 226941738b6f844a3a11f1f83d38139ecaf54b2c Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 20:26:48 +0000 Subject: [PATCH 025/131] build(akita): pin the Akita fork commit that adds no-carry tensor contractions Moves the Acentelles/akita-lz pin from 9db4ee25 to a6a34dcf, which is 9db4ee25 plus the optional no-carry tensor contraction (feature tensor-no-carry). Cargo.lock changes only the git source revisions. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 22 +++++++++++----------- 2 files changed, 27 insertions(+), 27 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 0135f1cb13..3655d7832b 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=9db4ee25b89b1b66c42f399af983230333733c8b#9db4ee25b89b1b66c42f399af983230333733c8b" +source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 363283796a..ce63ad3569 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -309,17 +309,17 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ # Akita markos/recursion-integration (ee03aa30, LayerZero-Labs/akita#186-#190) # plus the recursion verifier changes on Acentelles/akita-lz: factored # compression weights, the terminal quotient certificate, transposed quotient -# right sides, the L2 proof bound, batched reduced setup rows and signed sparse -# accumulation. Repin to LayerZero-Labs/akita once those land there. -akita-algebra = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } -akita-config = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } -akita-error = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } -akita-pcs = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } -akita-planner = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } -akita-schedules = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } -akita-challenges = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } -akita-types = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } -akita-params = { git = "https://github.com/Acentelles/akita-lz.git", rev = "9db4ee25b89b1b66c42f399af983230333733c8b", default-features = false } +# right sides, the L2 proof bound, batched reduced setup rows, signed sparse +# accumulation and optional no-carry tensor contractions. Repin to LayerZero-Labs/akita once those land there. +akita-algebra = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-config = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-error = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-pcs = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-planner = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-schedules = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-challenges = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-types = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-params = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From 41439702ed77946acf8ab2a25b5ef3588917ac0c Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 20:47:15 +0000 Subject: [PATCH 026/131] build(akita): fetch the Akita pin from LayerZero-Labs/akita The Akita crates keep rev a6a34dcf (the previous pin 9db4ee25 plus the optional no-carry tensor contraction) and are now fetched from LayerZero-Labs/akita, which serves the commit by hash, instead of a fork URL. Cargo.lock changes only the git source URLs. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 27 +++++++++++++-------------- 2 files changed, 29 insertions(+), 30 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 3655d7832b..66f39835eb 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index ce63ad3569..7eb5aa8da2 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,20 +306,19 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita markos/recursion-integration (ee03aa30, LayerZero-Labs/akita#186-#190) -# plus the recursion verifier changes on Acentelles/akita-lz: factored -# compression weights, the terminal quotient certificate, transposed quotient -# right sides, the L2 proof bound, batched reduced setup rows, signed sparse -# accumulation and optional no-carry tensor contractions. Repin to LayerZero-Labs/akita once those land there. -akita-algebra = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-config = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-error = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-pcs = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-planner = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-schedules = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-challenges = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-types = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-params = { git = "https://github.com/Acentelles/akita-lz.git", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +# Akita pin: commit a6a34dcf, the previous pin 9db4ee25 (markos/recursion-integration +# ee03aa30 plus the recursion verifier changes) plus the change in +# LayerZero-Labs/akita#272, fetched from LayerZero-Labs/akita by hash. Repin to the +# merge commit on markos/recursion-integration once those changes land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From b39d7337f1eba0fbdf6c4bbaaaa411dd911fb640 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 23:29:33 +0000 Subject: [PATCH 027/131] perf(recursion): split every critical edge in PHI elimination in the recursion verifier guest build The guest-codegen default for the recursion verifier guest build adds -Cllvm-args=-phi-elim-split-all-critical-edges=true to the existing inline threshold, GVN hoisting, DFA jump threading, ExtTSP block placement, no tail merging, size-oriented spill splitting and no cost-per-use flags, still with one codegen unit. A caller value for ZEROOS_GUEST_RUSTFLAGS still wins, and RECURSION_GUEST_CODEGEN=off restores the stock guest build. Host-side source change only; the inner guests and their proofs are unchanged. --- examples/recursion/Cargo.toml | 3 ++- examples/recursion/src/main.rs | 2 +- 2 files changed, 3 insertions(+), 2 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index bfc1ffd528..64c7b8b1d3 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -31,7 +31,8 @@ akita = [ # is built with -Cllvm-args=-inline-threshold=1750, -Cllvm-args=-enable-gvn-hoist, # -Cllvm-args=-enable-dfa-jump-thread, -Cllvm-args=-enable-ext-tsp-block-placement, # -Cllvm-args=-enable-tail-merge=false, -Cllvm-args=-split-spill-mode=size, -# -Cllvm-args=-riscv-disable-cost-per-use=true and one codegen unit (host side only; +# -Cllvm-args=-riscv-disable-cost-per-use=true, +# -Cllvm-args=-phi-elim-split-all-critical-edges=true and one codegen unit (host side only; # RECURSION_GUEST_CODEGEN=off restores the stock guest build). # tensor-no-carry: the verifier guest (and the host's Akita) separate dense # residual equality weights into a high-part sum and a no-carry low span; same diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index c539d15685..6ecdb45fd1 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1061,7 +1061,7 @@ fn tamper_l2( const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ ( "ZEROOS_GUEST_RUSTFLAGS", - "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false -Cllvm-args=-split-spill-mode=size -Cllvm-args=-riscv-disable-cost-per-use=true", + "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false -Cllvm-args=-split-spill-mode=size -Cllvm-args=-riscv-disable-cost-per-use=true -Cllvm-args=-phi-elim-split-all-critical-edges=true", ), ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), ]; From 8ae4568d152840e6366115012f68a708847e4f3a Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 01:14:48 +0000 Subject: [PATCH 028/131] perf(field-inline): hold weighted-dot row pointers in registers (default off) Behind the jolt-field feature `field-inline-rowptr` (recursion guest feature `rowptr-registers`), `weighted_dot_rows` copies each block's row slices into locals before its element loop, so the row base pointers stay in registers across the field-inline asm blocks instead of being reloaded from `block_rows` on every term. Arithmetic, operand order and results are unchanged. The feature-off build keeps every source line number. --- crates/jolt-field/Cargo.toml | 2 ++ crates/jolt-field/src/field_inline.rs | 10 +++++++++- examples/recursion/Cargo.toml | 2 ++ examples/recursion/guest/Cargo.toml | 2 ++ examples/recursion/src/main.rs | 2 ++ 5 files changed, 17 insertions(+), 1 deletion(-) diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index 16f889127e..ab7c451150 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -47,6 +47,8 @@ fp64-proof-linkage = [] field-inline-guest = ["dep:jolt-riscv"] field-inline-guest-bn254 = ["field-inline-guest"] field-inline-guest-fp128 = ["field-inline-guest"] +# Row pointers (default off): hold the weighted-dot row base pointers in registers. +field-inline-rowptr = ["field-inline-guest"] # Byte-preserving recursion experiments, default off. word-transcript = [] diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs index d023ca15a7..b96bbe7a76 100644 --- a/crates/jolt-field/src/field_inline.rs +++ b/crates/jolt-field/src/field_inline.rs @@ -495,7 +495,7 @@ mod guest { // field-inline word costs as much as the word itself, so the inner // loop is unrolled per block width and indexes without bounds checks. macro_rules! accumulate_block { - ($($row:ident => $k:literal),+) => { + ($($row:ident => $k:literal),+) => { $( #[cfg(feature = "field-inline-rowptr")] let $row: &[[u64; N]] = *$row; )+ // row pointers: see the note at the end of this file for j in 0..len { // SAFETY: `j < len`, and every row has `len` elements // (asserted above). @@ -648,3 +648,11 @@ pub use guest::{ accumulators_free, add, bind_modulus, dot, dot_rows, inv, mul, neg, signed_sum, sub, sum_of_products, weighted_dot_rows, }; + +// Row pointers (`field-inline-rowptr`, default off; recursion guest feature `rowptr-registers`): +// `weighted_dot_rows` copies the block's row slices into locals before its +// element loop. The match bindings `r0..r4` point into `block_rows`, and every +// field-inline `asm!` block may write memory, so without the copy each term +// reloads its row base pointer from memory; locals stay in registers across +// the asm. The statement sits on the macro's arm line and this note sits at the +// end of the file, so the feature-off build keeps every source line number. diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 64c7b8b1d3..ac5894f71e 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -47,6 +47,8 @@ tensor-no-carry = ["jolt-akita?/tensor-no-carry"] # Each remaining arm is selected independently and forwarded to the guest. word-transcript = ["akita", "jolt-akita/word-transcript"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] +# Row pointers (default off): forwards `rowptr-registers` to the verifier guest. +rowptr-registers = [] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 24793f1f15..e1f170f1fa 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -34,6 +34,8 @@ word-transcript = ["akita", "jolt-akita/word-transcript"] word-decode = ["akita", "jolt-akita/word-decode"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] +# Row pointers (default off): weighted-dot row pointers held in registers. +rowptr-registers = ["jolt-field/field-inline-rowptr"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 6ecdb45fd1..a83e768d70 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -908,6 +908,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("ont-static-base"); #[cfg(feature = "tensor-no-carry")] program.add_guest_feature("tensor-no-carry"); + #[cfg(feature = "rowptr-registers")] + program.add_guest_feature("rowptr-registers"); program.set_memory_config(memory_config); program } From cc468a00d089cf361169d5d23b581b2e6bc5cca1 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 01:14:48 +0000 Subject: [PATCH 029/131] fix(field-inline): wrap the weighted-dot block macro body in a block The row-pointer copies under field-inline-rowptr are statements, and the macro is invoked in expression position, so its body must be a block. The feature-off expansion keeps the same loop inside a block and every source line number. --- crates/jolt-field/src/field_inline.rs | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs index b96bbe7a76..ae4f6fc907 100644 --- a/crates/jolt-field/src/field_inline.rs +++ b/crates/jolt-field/src/field_inline.rs @@ -495,7 +495,7 @@ mod guest { // field-inline word costs as much as the word itself, so the inner // loop is unrolled per block width and indexes without bounds checks. macro_rules! accumulate_block { - ($($row:ident => $k:literal),+) => { $( #[cfg(feature = "field-inline-rowptr")] let $row: &[[u64; N]] = *$row; )+ // row pointers: see the note at the end of this file + ($($row:ident => $k:literal),+) => {{ $( #[cfg(feature = "field-inline-rowptr")] let $row: &[[u64; N]] = *$row; )+ // row pointers: see the note at the end of this file for j in 0..len { // SAFETY: `j < len`, and every row has `len` elements // (asserted above). @@ -508,7 +508,7 @@ mod guest { )+ } } - }; + }}; } const _: () = assert!( WEIGHTED_ROWS_BLOCK == 5, From 5139ab04dd400df47df3d7c53f264e51aa04b45b Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 01:14:49 +0000 Subject: [PATCH 030/131] perf(recursion): hold the weighted-dot row pointers in registers by default in recursion The recursion host enables rowptr-registers by default and forwards it to the verifier guest, whose jolt-field keeps each block's row base pointers in registers across the field-inline element loop instead of reloading them on every term. Field values, proofs and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index ac5894f71e..517966f324 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -37,7 +37,9 @@ akita = [ # tensor-no-carry: the verifier guest (and the host's Akita) separate dense # residual equality weights into a high-part sum and a no-carry low span; same # field values. Default on; effective only with `akita`. -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry"] +# rowptr-registers: the verifier guest keeps the weighted-dot row base pointers in +# registers (jolt-field field-inline-rowptr); same field values. Default on. +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers"] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] @@ -47,7 +49,7 @@ tensor-no-carry = ["jolt-akita?/tensor-no-carry"] # Each remaining arm is selected independently and forwarded to the guest. word-transcript = ["akita", "jolt-akita/word-transcript"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] -# Row pointers (default off): forwards `rowptr-registers` to the verifier guest. +# Row pointers (default on): forwards `rowptr-registers` to the verifier guest. rowptr-registers = [] [dependencies] From a0cfe8802f7958b19abe6d26e81194f6ff559841 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 03:33:23 +0000 Subject: [PATCH 031/131] perf(recursion): keep PHI-elimination live-out checks, eliminate spill copies and schedule after register allocation in the recursion verifier guest build The guest-codegen default for the recursion verifier guest build adds -Cllvm-args=-no-phi-elim-live-out-early-exit=true, -Cllvm-args=-enable-spill-copy-elim=true and -Cllvm-args=-enable-post-misched=true to the existing inline threshold, GVN hoisting, DFA jump threading, ExtTSP block placement, no tail merging, size-oriented spill splitting, no cost-per-use and critical-edge splitting flags, still with one codegen unit. A caller value for ZEROOS_GUEST_RUSTFLAGS still wins, and RECURSION_GUEST_CODEGEN=off restores the stock guest build. Host-side source change only; the inner guests and their proofs are unchanged. --- examples/recursion/Cargo.toml | 4 +++- examples/recursion/src/main.rs | 2 +- 2 files changed, 4 insertions(+), 2 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 517966f324..881e21926b 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -32,7 +32,9 @@ akita = [ # -Cllvm-args=-enable-dfa-jump-thread, -Cllvm-args=-enable-ext-tsp-block-placement, # -Cllvm-args=-enable-tail-merge=false, -Cllvm-args=-split-spill-mode=size, # -Cllvm-args=-riscv-disable-cost-per-use=true, -# -Cllvm-args=-phi-elim-split-all-critical-edges=true and one codegen unit (host side only; +# -Cllvm-args=-phi-elim-split-all-critical-edges=true, +# -Cllvm-args=-no-phi-elim-live-out-early-exit=true, -Cllvm-args=-enable-spill-copy-elim=true, +# -Cllvm-args=-enable-post-misched=true and one codegen unit (host side only; # RECURSION_GUEST_CODEGEN=off restores the stock guest build). # tensor-no-carry: the verifier guest (and the host's Akita) separate dense # residual equality weights into a high-part sum and a no-carry low span; same diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index a83e768d70..041cbb7b59 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1063,7 +1063,7 @@ fn tamper_l2( const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ ( "ZEROOS_GUEST_RUSTFLAGS", - "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false -Cllvm-args=-split-spill-mode=size -Cllvm-args=-riscv-disable-cost-per-use=true -Cllvm-args=-phi-elim-split-all-critical-edges=true", + "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false -Cllvm-args=-split-spill-mode=size -Cllvm-args=-riscv-disable-cost-per-use=true -Cllvm-args=-phi-elim-split-all-critical-edges=true -Cllvm-args=-no-phi-elim-live-out-early-exit=true -Cllvm-args=-enable-spill-copy-elim=true -Cllvm-args=-enable-post-misched=true", ), ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), ]; From 32488024a988389e0e25e70ad8ee9c583d82a6a9 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 23:17:08 +0000 Subject: [PATCH 032/131] build(recursion): optionally leave unchanged generated guest sources untouched With RECURSION_WRITE_IF_CHANGED set, the host compares each generated guest source (provable_macro.rs, embedded.bin, embedded_bytecode.rs, embedded_bytes.rs) with the file on disk and skips the write when the bytes match, so an unchanged embedded setup no longer bumps mtimes and forces the fat-LTO guest rebuild. Unset, behaviour is unchanged. Tooling only: the written bytes, guest image, rows and verdict are the same either way. --- examples/recursion/src/main.rs | 28 ++++++++++++++++++++-------- 1 file changed, 20 insertions(+), 8 deletions(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 041cbb7b59..b0e8e8e478 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -300,6 +300,19 @@ impl GuestProgram { } } +/// Write a generated guest source. With `RECURSION_WRITE_IF_CHANGED` set, a file whose +/// bytes already match is left untouched, so its mtime does not force a guest rebuild; +/// unset, every file is rewritten as before. Tooling only: the bytes on disk are the same. +fn write_generated(path: &Path, bytes: &[u8]) { + if std::env::var_os("RECURSION_WRITE_IF_CHANGED").is_some() + && std::fs::read(path).is_ok_and(|existing| existing == bytes) + { + info!("Unchanged, not rewritten: {}", path.display()); + return; + } + std::fs::write(path, bytes).unwrap(); +} + fn generate_provable_macro(guest: GuestProgram, use_embed: bool, output_dir: &Path) { let memory_config = guest.get_memory_config(use_embed); let max_trace_length = guest.get_max_trace_length(use_embed); @@ -332,7 +345,7 @@ fn generate_provable_macro(guest: GuestProgram, use_embed: bool, output_dir: &Pa std::fs::create_dir_all(output_dir).unwrap(); - std::fs::write(&provable_macro_path, macro_content).unwrap(); + write_generated(&provable_macro_path, macro_content.as_bytes()); info!( "Generated {} with config: input={}, output={}, memory={}, stack={}, trace={}", provable_macro_path.display(), @@ -699,7 +712,7 @@ fn generate_embedded_bytes(guest: GuestProgram, setup_section: &[u8], output_dir std::fs::create_dir_all(output_dir).unwrap(); let bin_path = output_dir.join("embedded.bin"); - std::fs::write(&bin_path, &image).unwrap(); + write_generated(&bin_path, &image); let source = format!( "// Generated by the recursion host: the verifier setup baked into this image.\n\ #[repr(C, align(8))]\n\ @@ -708,13 +721,12 @@ fn generate_embedded_bytes(guest: GuestProgram, setup_section: &[u8], output_dir pub static EMBEDDED_BYTES: &[u8] = &ALIGNED.0;\n", len = image.len() ); - std::fs::write( - output_dir.join("embedded_bytecode.rs"), - render_embedded_bytecode(&bytecode), - ) - .unwrap(); + write_generated( + &output_dir.join("embedded_bytecode.rs"), + render_embedded_bytecode(&bytecode).as_bytes(), + ); let source_path = output_dir.join("embedded_bytes.rs"); - std::fs::write(&source_path, source).unwrap(); + write_generated(&source_path, source.as_bytes()); info!("Embedded setup written to {}", bin_path.display()); } From 09be3a0463159ba3556f911f44942c41de3a7a71 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 23:18:14 +0000 Subject: [PATCH 033/131] build(recursion): optional content-keyed cache for the verifier guest ELF With RECURSION_GUEST_ELF_CACHE=

set, the host computes a content key of the verifier-guest build (workspace tree and diff, every file under examples/recursion including the generated guest sources, the Cargo git checkouts, the toolchain and jolt CLI, this host binary, the guest build environment and the target directory) and reuses /.elf instead of running the guest build; a fresh build is stored under its key. Unset, behaviour is unchanged. Tooling only: a hit reuses an ELF built from the same inputs, so rows, image and verdict are the same. --- examples/recursion/src/main.rs | 78 +++++++++++++++++++++++++++++++++- 1 file changed, 76 insertions(+), 2 deletions(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index b0e8e8e478..49aba18fea 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1080,8 +1080,51 @@ const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), ]; +/// Content key of the verifier-guest build for the optional ELF cache +/// (`RECURSION_GUEST_ELF_CACHE=`): the workspace tree and its uncommitted +/// diff, every file under `examples/recursion` (the generated guest sources +/// included), the Cargo git checkouts, the toolchain (`rustc -Vv`, `cargo -V`, +/// the jolt CLI binary), this host binary (its features and build code), the +/// guest build environment (RUSTFLAGS, the guest-codegen variables) and the +/// target directory. `None` when any part cannot be read; the build then runs +/// as usual. Tooling only: a hit reuses an ELF built from the same inputs. +fn guest_elf_cache_key(target_dir: &str) -> Option { + const SCRIPT: &str = r#"set -e +cd "$1" +{ +echo guest-elf-cache-v1 +git rev-parse 'HEAD^{tree}' +git diff HEAD --binary | sha256sum +find examples/recursion -type f ! -path '*/target*' -print0 | sort -z | xargs -0 sha256sum +find "${CARGO_HOME:-$HOME/.cargo}/git/checkouts" -type f \( -name '*.rs' -o -name '*.toml' -o -name '*.json' \) -print0 2>/dev/null | sort -z | xargs -0 -r sha256sum +rustc -Vv +cargo -V +sha256sum "$(command -v "${JOLT_PATH:-jolt}")" +sha256sum "$2" +env | grep -E '^(ZEROOS_GUEST_RUSTFLAGS|CARGO_PROFILE_|RUSTFLAGS|CARGO_ENCODED_RUSTFLAGS|CARGO_BUILD_|RECURSION_GUEST_CODEGEN|JOLT_FUNC_NAME)=' | sort || true +echo "$3" +} | sha256sum | cut -c1-64 +"#; + let repo = Path::new(env!("CARGO_MANIFEST_DIR")).join("../.."); + let exe = std::env::current_exe().ok()?; + let output = std::process::Command::new("sh") + .arg("-c") + .arg(SCRIPT) + .arg("sh") + .arg(&repo) + .arg(&exe) + .arg(target_dir) + .output() + .ok()?; + let key = String::from_utf8(output.stdout).ok()?.trim().to_string(); + (output.status.success() && key.len() == 64).then_some(key) +} + /// Builds the verifier guest, applying the default guest build settings to -/// this build only (the inner guests keep the stock settings). +/// this build only (the inner guests keep the stock settings). With +/// `RECURSION_GUEST_ELF_CACHE=` set, an ELF already built for the same +/// content key is reused instead of running the guest build, and a fresh build +/// is stored under its key; unset, the build runs as before. fn build_recursion_guest(program: &mut Program, target_dir: &str) { let enabled = cfg!(feature = "guest-codegen") && !matches!( @@ -1098,7 +1141,38 @@ fn build_recursion_guest(program: &mut Program, target_dir: &str) { } } info!(" recursion guest build settings: {applied:?}"); - program.build(target_dir); + let cache = std::env::var_os("RECURSION_GUEST_ELF_CACHE").map(PathBuf::from); + let key = cache.as_ref().and_then(|_| guest_elf_cache_key(target_dir)); + let cached = match (&cache, &key) { + (Some(dir), Some(key)) => Some(dir.join(format!("{key}.elf"))), + _ => None, + }; + if cache.is_some() && key.is_none() { + info!(" guest ELF cache: no key (inputs unreadable); building"); + } + let hit = cached.as_ref().filter(|path| path.is_file()).cloned(); + match hit { + Some(path) => { + info!(" guest ELF cache hit {}", path.display()); + program.elf = Some(path); + } + None => { + program.build(target_dir); + if let (Some(path), Some(built)) = (cached, program.elf.clone()) { + let tmp = path.with_extension("elf.tmp"); + let stored = path + .parent() + .map(std::fs::create_dir_all) + .transpose() + .and_then(|_| std::fs::copy(&built, &tmp)) + .and_then(|_| std::fs::rename(&tmp, &path)); + match stored { + Ok(()) => info!(" guest ELF cache store {}", path.display()), + Err(error) => info!(" guest ELF cache store failed: {error}"), + } + } + } + } for key in applied { std::env::remove_var(key); } From 535230e8365e23a37f5b73063a6997df8f1ce256 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 23:55:56 +0000 Subject: [PATCH 034/131] fix(recursion): key the guest ELF cache on every CARGO_PROFILE_ and CARGO_BUILD_ variable The environment filter of the cache key required '=' right after the CARGO_PROFILE_ and CARGO_BUILD_ prefixes, so no such variable entered the key and a changed codegen-units setting could reuse a stale ELF. Match the full variable names. --- examples/recursion/src/main.rs | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 49aba18fea..a2389fce2c 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1101,7 +1101,7 @@ rustc -Vv cargo -V sha256sum "$(command -v "${JOLT_PATH:-jolt}")" sha256sum "$2" -env | grep -E '^(ZEROOS_GUEST_RUSTFLAGS|CARGO_PROFILE_|RUSTFLAGS|CARGO_ENCODED_RUSTFLAGS|CARGO_BUILD_|RECURSION_GUEST_CODEGEN|JOLT_FUNC_NAME)=' | sort || true +env | grep -E '^(ZEROOS_GUEST_RUSTFLAGS|CARGO_PROFILE_[A-Z0-9_]*|RUSTFLAGS|CARGO_ENCODED_RUSTFLAGS|CARGO_BUILD_[A-Z0-9_]*|RECURSION_GUEST_CODEGEN|JOLT_FUNC_NAME)=' | sort || true echo "$3" } | sha256sum | cut -c1-64 "#; From 344e7783f8ad6eb84000ed0cbdc11f6cf5714b0b Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 00:01:09 +0000 Subject: [PATCH 035/131] build(recursion): leave unchanged generated guest sources untouched by default Generated guest sources whose bytes already match the file on disk are no longer rewritten, so an unchanged embedded setup does not force the fat-LTO guest rebuild. RECURSION_WRITE_IF_CHANGED=off restores the unconditional rewrite. Tooling only: the bytes on disk, guest image, rows and verdict are the same. --- examples/recursion/src/main.rs | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index a2389fce2c..148c9d814b 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -300,12 +300,15 @@ impl GuestProgram { } } -/// Write a generated guest source. With `RECURSION_WRITE_IF_CHANGED` set, a file whose -/// bytes already match is left untouched, so its mtime does not force a guest rebuild; -/// unset, every file is rewritten as before. Tooling only: the bytes on disk are the same. +/// Write a generated guest source. A file whose bytes already match is left +/// untouched, so its mtime does not force a guest rebuild; +/// `RECURSION_WRITE_IF_CHANGED=off` rewrites every file as before. Tooling only: +/// the bytes on disk are the same. fn write_generated(path: &Path, bytes: &[u8]) { - if std::env::var_os("RECURSION_WRITE_IF_CHANGED").is_some() - && std::fs::read(path).is_ok_and(|existing| existing == bytes) + if !matches!( + std::env::var("RECURSION_WRITE_IF_CHANGED").as_deref(), + Ok("off") + ) && std::fs::read(path).is_ok_and(|existing| existing == bytes) { info!("Unchanged, not rewritten: {}", path.display()); return; From 544c2065eef888ca28532a39a9829224d77450e7 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 00:01:09 +0000 Subject: [PATCH 036/131] build(recursion): key-only probe for the guest ELF cache With RECURSION_GUEST_ELF_CACHE and RECURSION_GUEST_ELF_CACHE_PROBE set, the host logs the guest ELF cache key and whether the lookup hits, then exits without building, so a key change can be checked without a guest build. Tooling only; unset, behaviour is unchanged. --- examples/recursion/src/main.rs | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 148c9d814b..9d689e1f06 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1127,7 +1127,9 @@ echo "$3" /// this build only (the inner guests keep the stock settings). With /// `RECURSION_GUEST_ELF_CACHE=` set, an ELF already built for the same /// content key is reused instead of running the guest build, and a fresh build -/// is stored under its key; unset, the build runs as before. +/// is stored under its key; unset, the build runs as before. With +/// `RECURSION_GUEST_ELF_CACHE_PROBE` also set, the host logs the key and whether +/// the lookup hits, then exits without building. fn build_recursion_guest(program: &mut Program, target_dir: &str) { let enabled = cfg!(feature = "guest-codegen") && !matches!( @@ -1154,6 +1156,15 @@ fn build_recursion_guest(program: &mut Program, target_dir: &str) { info!(" guest ELF cache: no key (inputs unreadable); building"); } let hit = cached.as_ref().filter(|path| path.is_file()).cloned(); + if std::env::var_os("RECURSION_GUEST_ELF_CACHE_PROBE").is_some() { + // Key-only probe: report the key and the lookup, build nothing. + info!( + " guest ELF cache probe key={} hit={}", + key.as_deref().unwrap_or("none"), + hit.is_some() + ); + std::process::exit(0); + } match hit { Some(path) => { info!(" guest ELF cache hit {}", path.display()); From c753cfa03c6a340ef7b435e2f721fd6c46e7ab3c Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 03:54:33 +0000 Subject: [PATCH 037/131] perf(recursion): build the recursion verifier guest without debug information by default The guest-codegen defaults add CARGO_PROFILE_RELEASE_DEBUG=0 to the verifier-guest build only (the inner guests keep the workspace release profile, debug = 1). Line-table debug information is not codegen-neutral in LLVM; without it the verifier guest executes fewer rows. Proofs and transcripts are unchanged. A caller value wins, and RECURSION_GUEST_CODEGEN=off restores the stock guest build. --- examples/recursion/Cargo.toml | 4 ++-- examples/recursion/src/main.rs | 15 ++++++++------- 2 files changed, 10 insertions(+), 9 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 881e21926b..073c071080 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -34,8 +34,8 @@ akita = [ # -Cllvm-args=-riscv-disable-cost-per-use=true, # -Cllvm-args=-phi-elim-split-all-critical-edges=true, # -Cllvm-args=-no-phi-elim-live-out-early-exit=true, -Cllvm-args=-enable-spill-copy-elim=true, -# -Cllvm-args=-enable-post-misched=true and one codegen unit (host side only; -# RECURSION_GUEST_CODEGEN=off restores the stock guest build). +# -Cllvm-args=-enable-post-misched=true, one codegen unit and release debug = 0 +# (host side only; RECURSION_GUEST_CODEGEN=off restores the stock guest build). # tensor-no-carry: the verifier guest (and the host's Akita) separate dense # residual equality weights into a high-part sum and a no-carry low span; same # field values. Default on; effective only with `akita`. diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 9d689e1f06..50f7a4d4d6 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1069,18 +1069,19 @@ fn tamper_l2( } /// Guest build settings the verifier guest uses by default (feature -/// `guest-codegen`): a higher LLVM inline threshold and one codegen unit for -/// the guest's release profile. Measured as the fewest trace rows of the -/// guest build configurations screened at inner sizes 2^12 and 2^20; the inner -/// proofs are unchanged. A value the caller already set for either variable -/// wins, and `RECURSION_GUEST_CODEGEN=off` (or building without the feature) -/// restores the stock guest build. -const RECURSION_GUEST_CODEGEN: [(&str, &str); 2] = [ +/// `guest-codegen`): a higher LLVM inline threshold, one codegen unit and no +/// debug information for the guest's release profile. Measured as the fewest +/// trace rows of the guest build configurations screened at inner sizes 2^12 +/// and 2^20; the inner proofs are unchanged. A value the caller already set for +/// any of these variables wins, and `RECURSION_GUEST_CODEGEN=off` (or building +/// without the feature) restores the stock guest build. +const RECURSION_GUEST_CODEGEN: [(&str, &str); 3] = [ ( "ZEROOS_GUEST_RUSTFLAGS", "-Cllvm-args=-inline-threshold=1750 -Cllvm-args=-enable-gvn-hoist -Cllvm-args=-enable-dfa-jump-thread -Cllvm-args=-enable-ext-tsp-block-placement -Cllvm-args=-enable-tail-merge=false -Cllvm-args=-split-spill-mode=size -Cllvm-args=-riscv-disable-cost-per-use=true -Cllvm-args=-phi-elim-split-all-critical-edges=true -Cllvm-args=-no-phi-elim-live-out-early-exit=true -Cllvm-args=-enable-spill-copy-elim=true -Cllvm-args=-enable-post-misched=true", ), ("CARGO_PROFILE_RELEASE_CODEGEN_UNITS", "1"), + ("CARGO_PROFILE_RELEASE_DEBUG", "0"), ]; /// Content key of the verifier-guest build for the optional ELF cache From 67ea298763dce0dbff4cc390511d5c0f9f107694 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 00:00:47 +0000 Subject: [PATCH 038/131] perf(recursion): forward the optional tensor equality run feature to the verifier guest --- crates/jolt-akita/Cargo.toml | 2 +- examples/recursion/Cargo.toml | 2 +- examples/recursion/guest/Cargo.toml | 2 +- examples/recursion/src/main.rs | 2 +- 4 files changed, 4 insertions(+), 4 deletions(-) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index a780930c91..6410732ed7 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -35,7 +35,7 @@ word-transcript = ["jolt-transcript/word-transcript"] word-decode = ["jolt-field/word-decode"] ont-static-base = ["akita-challenges/ont-static-base"] tensor-no-carry = ["akita-algebra/tensor-no-carry"] - +tensor-eq-runs = ["akita-algebra/tensor-eq-runs"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 073c071080..c39368ac9c 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -47,7 +47,7 @@ l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] word-decode = ["jolt-akita?/word-decode"] tensor-no-carry = ["jolt-akita?/tensor-no-carry"] - +tensor-eq-runs = ["jolt-akita?/tensor-eq-runs"] # Each remaining arm is selected independently and forwarded to the guest. word-transcript = ["akita", "jolt-akita/word-transcript"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index e1f170f1fa..f727ccc711 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -36,7 +36,7 @@ ont-static-base = ["akita", "jolt-akita/ont-static-base"] tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] # Row pointers (default off): weighted-dot row pointers held in registers. rowptr-registers = ["jolt-field/field-inline-rowptr"] - +tensor-eq-runs = ["akita", "jolt-akita/tensor-eq-runs"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 50f7a4d4d6..1586ed7f38 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -924,7 +924,7 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { #[cfg(feature = "tensor-no-carry")] program.add_guest_feature("tensor-no-carry"); #[cfg(feature = "rowptr-registers")] - program.add_guest_feature("rowptr-registers"); + program.add_guest_feature("rowptr-registers"); #[cfg(feature = "tensor-eq-runs")] program.add_guest_feature("tensor-eq-runs"); program.set_memory_config(memory_config); program } From 872531248b241584064baf33f584cc2b7419d089 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 03:54:45 +0000 Subject: [PATCH 039/131] style(recursion): one statement per line in the guest feature forwarding Formatting only (the rustfmt reflow of the tensor-eq-runs forwarding line in the host); no behaviour change. --- examples/recursion/src/main.rs | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 1586ed7f38..453a015f52 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -924,7 +924,9 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { #[cfg(feature = "tensor-no-carry")] program.add_guest_feature("tensor-no-carry"); #[cfg(feature = "rowptr-registers")] - program.add_guest_feature("rowptr-registers"); #[cfg(feature = "tensor-eq-runs")] program.add_guest_feature("tensor-eq-runs"); + program.add_guest_feature("rowptr-registers"); + #[cfg(feature = "tensor-eq-runs")] + program.add_guest_feature("tensor-eq-runs"); program.set_memory_config(memory_config); program } From d79d7d68c7f2ecaab57d691c180539ccb1b6de34 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 03:54:53 +0000 Subject: [PATCH 040/131] perf(recursion): traverse constant-high equality runs by default in recursion The recursion host enables tensor-eq-runs by default (weak dependency on jolt-akita, as the other default verifier features) and forwards it to the verifier guest, whose Akita materializes dense tensor equality weights by traversing their constant-high runs. The field values, proofs and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index c39368ac9c..7346549be5 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -41,7 +41,10 @@ akita = [ # field values. Default on; effective only with `akita`. # rowptr-registers: the verifier guest keeps the weighted-dot row base pointers in # registers (jolt-field field-inline-rowptr); same field values. Default on. -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers"] +# tensor-eq-runs: the verifier guest (and the host's Akita) traverse the +# constant-high runs of dense tensor equality materialization; same field +# values. Default on; effective only with `akita`. +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers", "tensor-eq-runs"] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] From 36af61caeb1e26e1fd49ba937a049b41d2afa532 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 05:57:48 +0000 Subject: [PATCH 041/131] build(akita): pin Akita to the tensor equality run accumulation The Akita crates move from rev a6a34dcf to 178e2f0f, which is a6a34dcf plus the optional tensor equality run accumulation (LayerZero-Labs/akita#274) and line-neutral rustfmt skip attributes, still fetched from LayerZero-Labs/akita by hash. Cargo.lock changes only the git source revisions. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 28 +++++++++++++++------------- 2 files changed, 31 insertions(+), 29 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 66f39835eb..fce3c163fb 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=a6a34dcf3281d103b4308d4c250f14704ef3c88b#a6a34dcf3281d103b4308d4c250f14704ef3c88b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 7eb5aa8da2..81f377f76e 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,19 +306,21 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit a6a34dcf, the previous pin 9db4ee25 (markos/recursion-integration -# ee03aa30 plus the recursion verifier changes) plus the change in -# LayerZero-Labs/akita#272, fetched from LayerZero-Labs/akita by hash. Repin to the -# merge commit on markos/recursion-integration once those changes land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "a6a34dcf3281d103b4308d4c250f14704ef3c88b", default-features = false } +# Akita pin: commit 178e2f0f, the previous pin a6a34dcf (9db4ee25, that is +# markos/recursion-integration ee03aa30 plus the recursion verifier changes, plus +# the change in LayerZero-Labs/akita#272) plus the change in LayerZero-Labs/akita#274 +# and line-neutral rustfmt skip attributes, fetched from LayerZero-Labs/akita by +# hash. Repin to the merge commit on markos/recursion-integration once those +# changes land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From d2f1ee511f892146c421aeb9ba24e3467df5c4c8 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 04:00:38 +0000 Subject: [PATCH 042/131] perf(recursion): forward the optional structured setup-scan sums of products to the verifier guest --- crates/jolt-akita/Cargo.toml | 1 + examples/recursion/Cargo.toml | 2 ++ examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/main.rs | 2 ++ 4 files changed, 6 insertions(+) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 6410732ed7..a1c209fe36 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -36,6 +36,7 @@ word-decode = ["jolt-field/word-decode"] ont-static-base = ["akita-challenges/ont-static-base"] tensor-no-carry = ["akita-algebra/tensor-no-carry"] tensor-eq-runs = ["akita-algebra/tensor-eq-runs"] +setup-sop-structured = ["akita-pcs/setup-sop-structured"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 7346549be5..02b14843fd 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -56,6 +56,8 @@ word-transcript = ["akita", "jolt-akita/word-transcript"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] # Row pointers (default on): forwards `rowptr-registers` to the verifier guest. rowptr-registers = [] +# Structured setup sums of products (default off): structured-site sums of products in the Akita setup scan. +setup-sop-structured = ["akita", "jolt-akita/setup-sop-structured"] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index f727ccc711..018a16bfbf 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -37,6 +37,7 @@ tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] # Row pointers (default off): weighted-dot row pointers held in registers. rowptr-registers = ["jolt-field/field-inline-rowptr"] tensor-eq-runs = ["akita", "jolt-akita/tensor-eq-runs"] +setup-sop-structured = ["akita", "jolt-akita/setup-sop-structured"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 453a015f52..f6edfa6376 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -927,6 +927,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("rowptr-registers"); #[cfg(feature = "tensor-eq-runs")] program.add_guest_feature("tensor-eq-runs"); + #[cfg(feature = "setup-sop-structured")] + program.add_guest_feature("setup-sop-structured"); program.set_memory_config(memory_config); program } From f3bcd3988811183d8476029b476b4b64875333fc Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 05:50:32 +0000 Subject: [PATCH 043/131] perf(recursion): sum the structured setup-scan contractions by default in recursion The recursion host enables setup-sop-structured by default (weak dependency on jolt-akita, as the other default verifier features) and forwards it to the verifier guest, whose Akita sums the cached structured E, T and Z contractions of the setup scan through sums of products. The field values, proofs and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 02b14843fd..341df2b78e 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -44,7 +44,10 @@ akita = [ # tensor-eq-runs: the verifier guest (and the host's Akita) traverse the # constant-high runs of dense tensor equality materialization; same field # values. Default on; effective only with `akita`. -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers", "tensor-eq-runs"] +# setup-sop-structured: the verifier guest (and the host's Akita) sum the cached +# structured E, T and Z contractions of the setup scan as sums of products; +# same field values. Default on; effective only with `akita`. +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers", "tensor-eq-runs", "setup-sop-structured"] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] @@ -56,8 +59,8 @@ word-transcript = ["akita", "jolt-akita/word-transcript"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] # Row pointers (default on): forwards `rowptr-registers` to the verifier guest. rowptr-registers = [] -# Structured setup sums of products (default off): structured-site sums of products in the Akita setup scan. -setup-sop-structured = ["akita", "jolt-akita/setup-sop-structured"] +# Structured setup sums of products (default on): structured-site sums of products in the Akita setup scan. +setup-sop-structured = ["jolt-akita?/setup-sop-structured"] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } From cb77dfd7a4c86ab50a6e8dd55759c37fe6150e12 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 07:33:36 +0000 Subject: [PATCH 044/131] build(akita): pin Akita to the structured setup-scan sums of products The Akita crates move from rev 178e2f0f to f238e0e2, which is 178e2f0f plus the optional structured setup-scan sums of products (LayerZero-Labs/akita#276), still fetched from LayerZero-Labs/akita by hash. Cargo.lock changes only the git source revisions. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 30 +++++++++++++++--------------- 2 files changed, 31 insertions(+), 31 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index fce3c163fb..992bafa5f5 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=178e2f0ff846e773d5133c33a951592ad453ab6d#178e2f0ff846e773d5133c33a951592ad453ab6d" +source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 81f377f76e..19acf9d606 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,21 +306,21 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit 178e2f0f, the previous pin a6a34dcf (9db4ee25, that is -# markos/recursion-integration ee03aa30 plus the recursion verifier changes, plus -# the change in LayerZero-Labs/akita#272) plus the change in LayerZero-Labs/akita#274 -# and line-neutral rustfmt skip attributes, fetched from LayerZero-Labs/akita by -# hash. Repin to the merge commit on markos/recursion-integration once those -# changes land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "178e2f0ff846e773d5133c33a951592ad453ab6d", default-features = false } +# Akita pin: commit f238e0e2, the previous pin 178e2f0f (a6a34dcf, that is 9db4ee25 +# plus the change in LayerZero-Labs/akita#272, plus the change in +# LayerZero-Labs/akita#274 and line-neutral rustfmt skip attributes) plus the +# change in LayerZero-Labs/akita#276, fetched from LayerZero-Labs/akita by hash. +# Repin to the merge commit on markos/recursion-integration once those changes +# land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From adb32368d6fab1b7061cb1131973d679108dfa84 Mon Sep 17 00:00:00 2001 From: acentelles Date: Mon, 26 Oct 2026 22:24:56 +0000 Subject: [PATCH 045/131] perf(recursion): add optional segment-setup and terminal-contraction features Forwards two optional Akita verifier features through jolt-akita and the recursion example: segment-setup (the ratio-one, single-functional reduced setup scan evaluated once over its shared linear functional, segment by segment) and terminal-contraction (signed 16-bit and weighted-row dot products in jolt-field, with a field-inline guest path). Both are off here. With either feature off, every existing source line keeps its location, so the verifier guest image is unchanged. --- crates/jolt-akita/Cargo.toml | 2 + crates/jolt-field/Cargo.toml | 1 + crates/jolt-field/src/algebra.rs | 15 +++++- crates/jolt-field/src/field_inline.rs | 7 ++- .../src/field_inline/terminal_emit.rs | 5 ++ .../src/field_inline/terminal_guest.rs | 26 +++++++++++ crates/jolt-field/src/lib.rs | 3 ++ crates/jolt-field/src/solinas/fp128.rs | 2 +- crates/jolt-field/src/terminal_contraction.rs | 46 +++++++++++++++++++ .../jolt-field/tests/terminal_contraction.rs | 45 ++++++++++++++++++ examples/recursion/Cargo.toml | 2 + examples/recursion/guest/Cargo.toml | 2 + examples/recursion/src/main.rs | 4 ++ 13 files changed, 156 insertions(+), 4 deletions(-) create mode 100644 crates/jolt-field/src/field_inline/terminal_emit.rs create mode 100644 crates/jolt-field/src/field_inline/terminal_guest.rs create mode 100644 crates/jolt-field/src/terminal_contraction.rs create mode 100644 crates/jolt-field/tests/terminal_contraction.rs diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index a1c209fe36..5f46382dd1 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -9,6 +9,8 @@ description = "Akita batch opening adapter for the Jolt zkVM" workspace = true [features] +terminal-contraction = ["akita-pcs/terminal-contraction", "jolt-field/terminal-contraction"] +segment-setup = ["akita-pcs/segment-setup"] default = ["parallel"] # Akita's rayon-backed kernels and backend thread pool. A single-core zkVM # guest builds without it; Jolt's own prover kernels in this crate still link diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index ab7c451150..a182edc7e0 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -28,6 +28,7 @@ rayon = { workspace = true, optional = true } thiserror = { workspace = true } [features] +terminal-contraction = [] default = ["bn254"] bn254 = ["dep:ark-ff", "dep:ark-serialize", "dep:ark-bn254"] solinas = [] diff --git a/crates/jolt-field/src/algebra.rs b/crates/jolt-field/src/algebra.rs index 77350f6904..2f7b1d9f49 100644 --- a/crates/jolt-field/src/algebra.rs +++ b/crates/jolt-field/src/algebra.rs @@ -197,7 +197,7 @@ pub trait Field: Ring { .zip(b) .fold(::zero(), |acc, (x, y)| acc + *x * *y) } - + #[cfg(feature = "terminal-contraction")] crate::terminal_contraction::field_methods!(); /// `Σ ±terms[i]`: each term is subtracted when its flag is set and added /// otherwise. Fields with a batched guest path (a register-resident sum /// read out once) override this. @@ -625,3 +625,16 @@ impl< > JoltField for T { } + +#[cfg(feature = "terminal-contraction")] +pub(crate) fn signed_i16_dot_fold( + weights: &[F], + coefficients: impl IntoIterator, +) -> F { + weights + .iter() + .zip(coefficients) + .fold(F::zero(), |sum, (&weight, value)| { + sum + weight * F::from_i64(i64::from(value)) + }) +} diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs index ae4f6fc907..c5723a07b6 100644 --- a/crates/jolt-field/src/field_inline.rs +++ b/crates/jolt-field/src/field_inline.rs @@ -98,7 +98,7 @@ mod emit { } }; } - + #[cfg(feature = "terminal-contraction")] include!("field_inline/terminal_emit.rs"); /// Accumulate one word into a destination previously cleared by `clear`. #[inline(always)] pub fn load_accumulate(dst: u32, offset: usize, base: *const u64) { @@ -315,7 +315,7 @@ mod emit { mod guest { use super::*; - + #[cfg(feature = "terminal-contraction")] include!("field_inline/terminal_guest.rs"); static READY: AtomicBool = AtomicBool::new(false); /// Prove that the unit computes modulo `modulus`. Accumulating the @@ -656,3 +656,6 @@ pub use guest::{ // reloads its row base pointer from memory; locals stay in registers across // the asm. The statement sits on the macro's arm line and this note sits at the // end of the file, so the feature-off build keeps every source line number. + +#[cfg(feature = "terminal-contraction")] +pub use guest::signed_i16_dot; diff --git a/crates/jolt-field/src/field_inline/terminal_emit.rs b/crates/jolt-field/src/field_inline/terminal_emit.rs new file mode 100644 index 0000000000..8dcbcbbe6e --- /dev/null +++ b/crates/jolt-field/src/field_inline/terminal_emit.rs @@ -0,0 +1,5 @@ + #[cfg(feature = "terminal-contraction")] + #[inline(always)] + pub fn acc_sub_out() { + fixed!(r_word(FUNCT3_SUB, REG_ACC, REG_ACC, REG_OUT)); + } diff --git a/crates/jolt-field/src/field_inline/terminal_guest.rs b/crates/jolt-field/src/field_inline/terminal_guest.rs new file mode 100644 index 0000000000..68e1dac54b --- /dev/null +++ b/crates/jolt-field/src/field_inline/terminal_guest.rs @@ -0,0 +1,26 @@ + /// Canonical Fp128 weights and signed integer coefficients. Only the + /// magnitude enters register B; subtraction carries the sign. The unit + /// uses existing load, multiply and add/subtract instructions. + #[cfg(feature = "terminal-contraction")] + pub fn signed_i16_dot( + weights: &[[u64; 2]], + coefficients: impl IntoIterator, + ) -> [u64; 2] { + ACC_LENT.store(true, Ordering::Relaxed); + emit::acc_zero(); + for (weight, coefficient) in weights.iter().zip(coefficients) { + let magnitude = [u64::from(coefficient.unsigned_abs())]; + load(REG_A, weight); + load(REG_B, &magnitude); + emit::mul_out(); + if coefficient < 0 { + emit::acc_sub_out(); + } else { + emit::acc_add_out(); + } + } + let result = read_out(REG_ACC); + ACC_LENT.store(false, Ordering::Relaxed); + result + } + diff --git a/crates/jolt-field/src/lib.rs b/crates/jolt-field/src/lib.rs index 4bd9212873..30a40fd48e 100644 --- a/crates/jolt-field/src/lib.rs +++ b/crates/jolt-field/src/lib.rs @@ -181,3 +181,6 @@ pub enum FieldError { #[error("invalid size: expected {expected}, actual {actual}")] InvalidSize { expected: usize, actual: usize }, } + +#[cfg(feature = "terminal-contraction")] +mod terminal_contraction; diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index f830e696d4..c849f64d59 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1077,7 +1077,7 @@ impl Field for Fp128

{ fn dot_product(a: &[Self], b: &[Self]) -> Self { >::dot_base(a, b) } - + #[cfg(feature = "terminal-contraction")] crate::terminal_contraction::fp128_methods!(); #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] #[inline] fn signed_sum<'a>(terms: impl IntoIterator) -> Self diff --git a/crates/jolt-field/src/terminal_contraction.rs b/crates/jolt-field/src/terminal_contraction.rs new file mode 100644 index 0000000000..972b0c1420 --- /dev/null +++ b/crates/jolt-field/src/terminal_contraction.rs @@ -0,0 +1,46 @@ +// Keep the head's existing source locations unchanged when the feature is off. +macro_rules! field_methods { + () => { + /// A weighted sum of row dot products, with checked rectangular shape. + fn weighted_dot_product(rows: &[&[Self]], weights: &[Self], shared: &[Self]) -> Self { + assert_eq!(rows.len(), weights.len(), "one weight per row"); + assert!(rows.iter().all(|row| row.len() == shared.len())); + rows.iter() + .zip(weights) + .fold(Self::zero(), |sum, (row, weight)| { + sum + Self::dot_product(row, shared) * *weight + }) + } + + /// Dot product with signed 16-bit coefficients, over the shorter input. + /// Coefficients remain integers until their multiplication by the field + /// weight; implementations must preserve negative and minimum values. + fn dot_product_i16(weights: &[Self], coefficients: impl IntoIterator) -> Self { + $crate::algebra::signed_i16_dot_fold(weights, coefficients) + } + }; +} +pub(crate) use field_methods; + +macro_rules! fp128_methods { + () => { + fn weighted_dot_product(rows: &[&[Self]], weights: &[Self], shared: &[Self]) -> Self { + >::weighted_dot_base_rows(rows, weights, shared) + } + + fn dot_product_i16(weights: &[Self], coefficients: impl IntoIterator) -> Self { + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + if Self::inline_accumulators() { + // SAFETY: Fp128 is repr(transparent) over two canonical limbs. + let limbs: &[[u64; 2]] = + unsafe { core::slice::from_raw_parts(weights.as_ptr().cast(), weights.len()) }; + return Self::from_inline_limbs($crate::field_inline::signed_i16_dot( + limbs, + coefficients, + )); + } + $crate::algebra::signed_i16_dot_fold(weights, coefficients) + } + }; +} +pub(crate) use fp128_methods; diff --git a/crates/jolt-field/tests/terminal_contraction.rs b/crates/jolt-field/tests/terminal_contraction.rs new file mode 100644 index 0000000000..d4eadda713 --- /dev/null +++ b/crates/jolt-field/tests/terminal_contraction.rs @@ -0,0 +1,45 @@ +#![cfg(all(feature = "terminal-contraction", feature = "solinas"))] + +use jolt_field::{Field, Prime128Offset275, Prime128OffsetA7F7, Ring, Zero}; + +fn signed_boundaries() { + let weights = [2, 3, 5, 7, 11].map(F::from_u64); + let coefficients = [i16::MIN, -1, 0, 1, i16::MAX]; + // 2*(-32768) - 3 + 7 + 11*32767, evaluated as a signed integer. + assert_eq!( + F::dot_product_i16(&weights, coefficients), + F::from_i64(294_905) + ); + assert_eq!(F::dot_product_i16(&weights, []), F::zero()); + assert_eq!(F::dot_product_i16(&[], coefficients), F::zero()); + assert_eq!(F::dot_product_i16(&weights[..1], [-2, 99]), F::from_i64(-4)); +} + +#[test] +fn signed_integer_boundary_vectors() { + signed_boundaries::(); + signed_boundaries::(); +} + +#[test] +fn weighted_rectangular_polynomial_vector() { + type F = Prime128OffsetA7F7; + let first = [1, 2, 3].map(F::from_u64); + let second = [4, 5, 6].map(F::from_u64); + let powers = [1, 7, 49].map(F::from_u64); + let weights = [F::from_u64(2), F::from_i64(-3)]; + // 2*(1+14+147) - 3*(4+35+294). + assert_eq!( + F::weighted_dot_product(&[&first, &second], &weights, &powers), + F::from_i64(-675) + ); + assert_eq!(F::weighted_dot_product(&[], &[], &powers), F::zero()); +} + +#[test] +#[should_panic(expected = "one weight")] +fn weighted_rows_reject_weight_count_mismatch() { + type F = Prime128OffsetA7F7; + let row = [F::from_u64(1)]; + let _ = F::weighted_dot_product(&[&row], &[], &row); +} diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 341df2b78e..54421486c6 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -8,6 +8,8 @@ name = "recursion" path = "src/main.rs" [features] +terminal-contraction = ["jolt-akita?/terminal-contraction"] +segment-setup = ["jolt-akita?/segment-setup"] word-memory = [] ntt-inline = ["akita", "dep:jolt-inlines-ntt"] # Non-default: default workspace builds must not unify field-inline into the diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 018a16bfbf..302f9a6252 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -4,6 +4,8 @@ version = "0.1.0" edition = "2021" [features] +terminal-contraction = ["jolt-akita?/terminal-contraction", "jolt-field/terminal-contraction"] +segment-setup = ["jolt-akita?/segment-setup"] ntt-inline = ["akita", "jolt-akita/ntt-inline"] guest = [] word-memory = ["jolt_sdk/word-memory"] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index f6edfa6376..d2aa395b65 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -921,6 +921,10 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("word-decode"); #[cfg(feature = "ont-static-base")] program.add_guest_feature("ont-static-base"); + #[cfg(feature = "segment-setup")] + program.add_guest_feature("segment-setup"); + #[cfg(feature = "terminal-contraction")] + program.add_guest_feature("terminal-contraction"); #[cfg(feature = "tensor-no-carry")] program.add_guest_feature("tensor-no-carry"); #[cfg(feature = "rowptr-registers")] From 4a352efbaa5cf0a6de47e26d462822b171ebd7f8 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 08:59:24 +0000 Subject: [PATCH 046/131] perf(recursion): evaluate the shared reduced setup scan by default in recursion The recursion host enables segment-setup by default (weak dependency on jolt-akita, as the other default verifier features) and forwards it to the verifier guest, whose Akita evaluates the ratio-one, single-functional reduced setup scan once over its shared linear functional, segment by segment. The field values, proofs and transcripts are unchanged. The terminal-contraction feature stays off. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 54421486c6..7e98d8e2ed 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -49,7 +49,10 @@ akita = [ # setup-sop-structured: the verifier guest (and the host's Akita) sum the cached # structured E, T and Z contractions of the setup scan as sums of products; # same field values. Default on; effective only with `akita`. -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers", "tensor-eq-runs", "setup-sop-structured"] +# segment-setup: the verifier guest (and the host's Akita) evaluate the +# ratio-one reduced setup scan once over its shared linear functional, segment +# by segment; same field values. Default on; effective only with `akita`. +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers", "tensor-eq-runs", "setup-sop-structured", "segment-setup"] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] From 541d91fc5af7f4088caac25312e528003638e038 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 10:14:48 +0000 Subject: [PATCH 047/131] build(akita): pin Akita to the segment-setup scan The Akita crates move from rev f238e0e2 to 334379a1, which is f238e0e2 plus the optional segment-setup and terminal-contraction scans, still fetched from LayerZero-Labs/akita by hash. Cargo.lock changes only the git source revisions. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 30 +++++++++++++++--------------- 2 files changed, 31 insertions(+), 31 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 992bafa5f5..e79fe99649 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=f238e0e24e140603500aa62a6a2443c18bec5f40#f238e0e24e140603500aa62a6a2443c18bec5f40" +source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 19acf9d606..594ed1990c 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,21 +306,21 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit f238e0e2, the previous pin 178e2f0f (a6a34dcf, that is 9db4ee25 -# plus the change in LayerZero-Labs/akita#272, plus the change in -# LayerZero-Labs/akita#274 and line-neutral rustfmt skip attributes) plus the -# change in LayerZero-Labs/akita#276, fetched from LayerZero-Labs/akita by hash. -# Repin to the merge commit on markos/recursion-integration once those changes -# land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "f238e0e24e140603500aa62a6a2443c18bec5f40", default-features = false } +# Akita pin: commit 334379a1, the previous pin f238e0e2 (178e2f0f, that is +# a6a34dcf plus the change in LayerZero-Labs/akita#274 and line-neutral rustfmt +# skip attributes, plus the change in LayerZero-Labs/akita#276) plus the optional +# segment-setup and terminal-contraction scans, fetched from LayerZero-Labs/akita +# by hash. Repin to the merge commit on markos/recursion-integration once those +# changes land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From da3a35c4dd89cf75ec26e7419fad117af117aeff Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 14:17:17 +0000 Subject: [PATCH 048/131] perf(field-inline): evaluate geometric weighted dots by Horner's rule (default off) With the new jolt-field feature field-inline-horner, the Fp128 field-inline weighted dot first checks whether its 64 powers are 1, alpha, alpha^2, ... and, when they are and there are at least five rows, evaluates each row by a reverse Horner recurrence with alpha held in a field register, five rows at a time. Any other input takes the existing kernel. The recursion example forwards the optional weighted-dot-horner feature to the verifier guest. --- crates/jolt-field/Cargo.toml | 1 + crates/jolt-field/src/field_inline.rs | 6 +- crates/jolt-field/src/field_inline/horner.rs | 65 +++++++++++++++++++ crates/jolt-field/src/solinas/fp128.rs | 7 +- .../jolt-field/src/solinas/fp128/geometric.rs | 46 +++++++++++++ examples/recursion/Cargo.toml | 1 + examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/main.rs | 2 + 8 files changed, 125 insertions(+), 4 deletions(-) create mode 100644 crates/jolt-field/src/field_inline/horner.rs create mode 100644 crates/jolt-field/src/solinas/fp128/geometric.rs diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index a182edc7e0..bb173ed5d3 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -50,6 +50,7 @@ field-inline-guest-bn254 = ["field-inline-guest"] field-inline-guest-fp128 = ["field-inline-guest"] # Row pointers (default off): hold the weighted-dot row base pointers in registers. field-inline-rowptr = ["field-inline-guest"] +field-inline-horner = ["field-inline-guest"] # Byte-preserving recursion experiments, default off. word-transcript = [] diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs index c5723a07b6..5112518df0 100644 --- a/crates/jolt-field/src/field_inline.rs +++ b/crates/jolt-field/src/field_inline.rs @@ -344,7 +344,7 @@ mod guest { /// Horner ingress starts at zero, then accumulates limbs from most significant to least. #[inline(always)] - fn load(dst: u32, limbs: &[u64; N]) { + pub(super) fn load(dst: u32, limbs: &[u64; N]) { assert!(N > 0 && N <= 4, "supported field limb count"); emit::clear(dst); for i in (0..N).rev() { @@ -365,7 +365,7 @@ mod guest { /// Read all `N` limbs, then require the final quotient to vanish. /// The caller must reject integers at or above the active field modulus. #[inline(always)] - fn read_out(src: u32) -> [u64; N] { + pub(super) fn read_out(src: u32) -> [u64; N] { let mut limbs = [0u64; N]; let mut current = src; for limb in limbs.iter_mut() { @@ -659,3 +659,5 @@ pub use guest::{ #[cfg(feature = "terminal-contraction")] pub use guest::signed_i16_dot; +#[cfg(feature = "field-inline-horner")] +pub(crate) mod horner; diff --git a/crates/jolt-field/src/field_inline/horner.rs b/crates/jolt-field/src/field_inline/horner.rs new file mode 100644 index 0000000000..2dcb48bb92 --- /dev/null +++ b/crates/jolt-field/src/field_inline/horner.rs @@ -0,0 +1,65 @@ +use super::guest::{load, read_out}; +use super::{emit, r_word, FUNCT3_ADD, FUNCT3_MUL, REG_A, REG_B, REG_SUM}; + +/// Evaluate rows at `alpha` with five register-resident Horner accumulators. +/// The caller checks that its power vector is exactly `[1, alpha, ...]`. +pub(crate) fn weighted( + rows: &[&[[u64; N]]], + weights: &[[u64; N]], + alpha: &[u64; N], + width: usize, +) -> [u64; N] { + assert_eq!(rows.len(), weights.len(), "one weight per row"); + assert!(width > 0 && rows.iter().all(|row| row.len() == width)); + macro_rules! word { + ($op:expr, $rd:expr, $a:expr, $b:expr) => { + // SAFETY: a fixed field-inline operation; no Rust memory is accessed. + unsafe { + core::arch::asm!( + ".word {w}", + w = const r_word($op, $rd, $a, $b), + options(nostack) + ); + } + }; + } + macro_rules! block { + ($($row:ident => $k:literal),+) => {{ + $(let $row: &[[u64; N]] = *$row;)+ + // Initializing from the leading coefficient avoids multiplication + // by zero. Each block uses only the existing field register lease. + $( + emit::row_acc_zero($k); + // SAFETY: the nonempty width and all row lengths were checked. + unsafe { load(REG_B, $row.get_unchecked(width - 1)); } + word!(FUNCT3_ADD, 9 + $k, 9 + $k, REG_B); + )+ + for j in (0..width - 1).rev() { + $( + // SAFETY: j is below the validated width of every row. + unsafe { load(REG_B, $row.get_unchecked(j)); } + word!(FUNCT3_MUL, 9 + $k, 9 + $k, REG_A); + word!(FUNCT3_ADD, 9 + $k, 9 + $k, REG_B); + )+ + } + }}; + } + emit::sum_zero(); + load(REG_A, alpha); + for (block_rows, block_weights) in rows.chunks(5).zip(weights.chunks(5)) { + match block_rows { + [r0, r1, r2, r3, r4] => block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3, r4 => 4), + [r0, r1, r2, r3] => block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3), + [r0, r1, r2] => block!(r0 => 0, r1 => 1, r2 => 2), + [r0, r1] => block!(r0 => 0, r1 => 1), + [r0] => block!(r0 => 0), + _ => {} + } + for (k, weight) in block_weights.iter().enumerate() { + load(REG_B, weight); + emit::mul_out_row_acc_b(k); + emit::sum_add_out(); + } + } + read_out(REG_SUM) +} diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index c849f64d59..1783967bdc 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1312,7 +1312,7 @@ impl Fp128

{ } } - fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { + #[rustfmt::skip] fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`, so a slice // of it, and a slice of such slices, have the limb slices' layout. let cast = |slice: &[Self]| -> &[[u64; 2]] { @@ -1320,7 +1320,7 @@ impl Fp128

{ }; let rows: &[&[[u64; 2]]] = unsafe { core::slice::from_raw_parts(rows.as_ptr().cast(), rows.len()) }; - Self::from_inline_limbs(crate::field_inline::weighted_dot_rows( + #[cfg(feature = "field-inline-horner")] if pows.len() == 64 && rows.len() >= 5 { if let Some(alpha) = geometric::ratio(pows) { return Self::from_inline_limbs(crate::field_inline::horner::weighted(rows, cast(weights), &alpha.0, pows.len())); } } Self::from_inline_limbs(crate::field_inline::weighted_dot_rows( rows, cast(weights), cast(pows), @@ -1526,3 +1526,6 @@ mod wide_tests { } } } + +#[cfg(all(feature = "field-inline-horner", any(test, target_arch = "riscv64")))] +mod geometric; diff --git a/crates/jolt-field/src/solinas/fp128/geometric.rs b/crates/jolt-field/src/solinas/fp128/geometric.rs new file mode 100644 index 0000000000..cc6ba24fd8 --- /dev/null +++ b/crates/jolt-field/src/solinas/fp128/geometric.rs @@ -0,0 +1,46 @@ +use super::Fp128; +use crate::One; + +/// Recognize every entry, including the constant coefficient, before using +/// Horner evaluation. Other callers of weighted dots may supply arbitrary powers. +pub(super) fn ratio(powers: &[Fp128

]) -> Option> { + let (&first, rest) = powers.split_first()?; + let &alpha = rest.first()?; + if first != Fp128::one() { + return None; + } + let mut previous = alpha; + for &power in rest.iter().skip(1) { + if previous * alpha != power { + return None; + } + previous = power; + } + Some(alpha) +} + +#[cfg(test)] +mod tests { + use super::ratio; + use crate::{One, Prime128OffsetA7F7 as F, Ring, Zero}; + + #[test] + fn recognizes_geometric_powers_including_degenerate_challenges() { + for alpha in [F::zero(), F::one(), -F::one(), F::from_u64(17)] { + let powers: Vec = (0..64).map(|i| alpha.pow_u128(i)).collect(); + assert_eq!(ratio(&powers), Some(alpha)); + } + } + + #[test] + fn rejects_each_changed_power_and_nonunit_constant() { + let powers: Vec = (0..64).map(|i| F::from_u64(17).pow_u128(i)).collect(); + for index in 0..powers.len() { + let mut changed = powers.clone(); + changed[index] += F::one(); + assert_eq!(ratio(&changed), None); + } + assert_eq!(ratio::<{ super::super::FIELD_INLINE_FP128_MODULUS }>(&[]), None); + assert_eq!(ratio(&[F::one()]), None); + } +} diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 7e98d8e2ed..dbe0aa48fb 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -66,6 +66,7 @@ ont-static-base = ["akita", "jolt-akita/ont-static-base"] rowptr-registers = [] # Structured setup sums of products (default on): structured-site sums of products in the Akita setup scan. setup-sop-structured = ["jolt-akita?/setup-sop-structured"] +weighted-dot-horner = [] [dependencies] jolt-akita = { path = "../../crates/jolt-akita", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 302f9a6252..70c3b064b1 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -38,6 +38,7 @@ ont-static-base = ["akita", "jolt-akita/ont-static-base"] tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] # Row pointers (default off): weighted-dot row pointers held in registers. rowptr-registers = ["jolt-field/field-inline-rowptr"] +weighted-dot-horner = ["jolt-field/field-inline-horner"] tensor-eq-runs = ["akita", "jolt-akita/tensor-eq-runs"] setup-sop-structured = ["akita", "jolt-akita/setup-sop-structured"] [package.metadata.cargo-machete] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index d2aa395b65..baabf95d33 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -933,6 +933,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("tensor-eq-runs"); #[cfg(feature = "setup-sop-structured")] program.add_guest_feature("setup-sop-structured"); + #[cfg(feature = "weighted-dot-horner")] + program.add_guest_feature("weighted-dot-horner"); program.set_memory_config(memory_config); program } From 496578042c38fcffeac41fdf9b4f1cad58f2d7d9 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 14:17:18 +0000 Subject: [PATCH 049/131] test(field-inline): type the geometric-power recognition test by the public field alias --- crates/jolt-field/src/solinas/fp128/geometric.rs | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/crates/jolt-field/src/solinas/fp128/geometric.rs b/crates/jolt-field/src/solinas/fp128/geometric.rs index cc6ba24fd8..6b3585f2b9 100644 --- a/crates/jolt-field/src/solinas/fp128/geometric.rs +++ b/crates/jolt-field/src/solinas/fp128/geometric.rs @@ -40,7 +40,8 @@ mod tests { changed[index] += F::one(); assert_eq!(ratio(&changed), None); } - assert_eq!(ratio::<{ super::super::FIELD_INLINE_FP128_MODULUS }>(&[]), None); + let empty: [F; 0] = []; + assert_eq!(ratio(&empty), None); assert_eq!(ratio(&[F::one()]), None); } } From 8cfd88c0d6377f7d51d912847571d7f7f28ef66f Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 14:17:18 +0000 Subject: [PATCH 050/131] style(field-inline): match formatter spacing in the weighted-dot kernel without moving source lines --- crates/jolt-field/src/solinas/fp128.rs | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index 1783967bdc..b2d372afd9 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1312,7 +1312,7 @@ impl Fp128

{ } } - #[rustfmt::skip] fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { + #[rustfmt::skip] fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`, so a slice // of it, and a slice of such slices, have the limb slices' layout. let cast = |slice: &[Self]| -> &[[u64; 2]] { From 93ff4c2ef02f54b58ebe8de627b612e9208b623b Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 14:17:27 +0000 Subject: [PATCH 051/131] perf(recursion): evaluate geometric weighted dots by Horner's rule by default in recursion The recursion host enables weighted-dot-horner by default and forwards it to the verifier guest, whose field-inline weighted dot checks that its 64 powers are 1, alpha, alpha^2, ... and, for at least five rows, evaluates each row by a reverse Horner recurrence with alpha held in a field register; any other input takes the unchanged kernel. The field values, proofs and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index dbe0aa48fb..a3016876b9 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -52,7 +52,10 @@ akita = [ # segment-setup: the verifier guest (and the host's Akita) evaluate the # ratio-one reduced setup scan once over its shared linear functional, segment # by segment; same field values. Default on; effective only with `akita`. -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers", "tensor-eq-runs", "setup-sop-structured", "segment-setup"] +# weighted-dot-horner: the verifier guest evaluates each weighted dot whose 64 +# powers are geometric, with at least five rows, by a five-row reverse Horner +# recurrence in field registers; same field values. Default on. +default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers", "tensor-eq-runs", "setup-sop-structured", "segment-setup", "weighted-dot-horner"] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] From ddd6e09df0febbb1ce7115b2b5ab3ece7d7eeac2 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:08 +0000 Subject: [PATCH 052/131] feat(verifier): evaluate stage claim expressions from optional precomputed recipe tables With the new immutable-recipes feature (off by default; jolt-field, jolt-claims, jolt-verifier, jolt-verifier-derive, jolt-sdk and the recursion example), a stage's symbolic claim expression can be evaluated from a recipe found by relation and phase in a generated table: a list of coefficient-weighted products of openings, challenges and derived values. A recipe is used only in a non-zk Full-mode verification with the Fp128 field-inline guest field; a key absent from the table, or any other context, takes the canonical expression path. The native recorder that observes the canonical expressions and writes the tables is behind immutable-recipes-record. --- Cargo.lock | 5 + crates/jolt-claims-derive/src/lib.rs | 29 + crates/jolt-claims-derive/src/recipe_items.rs | 123 +++ .../jolt-claims-derive/src/record_generate.rs | 198 +++++ crates/jolt-claims/Cargo.toml | 2 + .../src/immutable_recipes/flags.rs | 48 ++ .../jolt-claims/src/immutable_recipes/key.rs | 136 +++ .../jolt-claims/src/immutable_recipes/mod.rs | 522 ++++++++++++ .../src/immutable_recipes/record.rs | 780 ++++++++++++++++++ .../src/immutable_recipes/tests.rs | 228 +++++ crates/jolt-claims/src/lattice.rs | 3 + crates/jolt-claims/src/lib.rs | 19 + .../jolt-claims/src/protocols/composed/ids.rs | 6 + .../src/protocols/composed/relations.rs | 6 +- .../field_inline/geometry/dimensions.rs | 11 + .../src/protocols/field_inline/ids.rs | 77 ++ .../relations/claim_reductions/increments.rs | 5 + .../relations/claim_reductions/registers.rs | 5 + .../field_inline/relations/registers.rs | 6 + .../src/protocols/jolt/geometry/booleanity.rs | 7 + .../src/protocols/jolt/geometry/bytecode.rs | 7 + .../geometry/claim_reductions/precommitted.rs | 7 + .../src/protocols/jolt/geometry/dimensions.rs | 11 + .../protocols/jolt/geometry/instruction.rs | 15 + .../src/protocols/jolt/geometry/ra.rs | 7 + .../src/protocols/jolt/geometry/ram.rs | 9 + .../src/protocols/jolt/geometry/spartan.rs | 10 + crates/jolt-claims/src/protocols/jolt/ids.rs | 362 ++++++++ .../jolt/lattice/relations/booleanity.rs | 5 +- .../jolt/lattice/relations/digit_zero.rs | 9 +- .../jolt/lattice/relations/read_raf.rs | 6 +- .../relations/booleanity/address_phase.rs | 2 +- .../relations/claim_reductions/increments.rs | 5 + .../relations/claim_reductions/instruction.rs | 2 +- .../relations/claim_reductions/registers.rs | 5 + .../instruction/input_virtualization.rs | 2 +- .../instruction/ra_virtualization.rs | 2 +- .../jolt/relations/instruction/read_raf.rs | 2 +- .../jolt/relations/ram/hamming_booleanity.rs | 2 +- .../jolt/relations/ram/output_check.rs | 2 +- .../jolt/relations/ram/ra_claim_reduction.rs | 2 +- .../jolt/relations/ram/ra_virtualization.rs | 2 +- .../jolt/relations/ram/raf_evaluation.rs | 2 +- .../jolt/relations/ram/read_write_checking.rs | 2 +- .../protocols/jolt/relations/ram/val_check.rs | 11 +- .../registers/read_write_checking.rs | 2 +- .../relations/registers/val_evaluation.rs | 5 + .../relations/spartan/product_remainder.rs | 2 +- .../protocols/jolt/relations/spartan/shift.rs | 2 +- crates/jolt-claims/src/symbolic.rs | 79 +- .../jolt-claims/src/twist/claim_reductions.rs | 4 +- .../jolt-claims/src/twist/memory_checking.rs | 4 +- crates/jolt-field/Cargo.toml | 1 + crates/jolt-field/src/algebra.rs | 2 +- crates/jolt-field/src/lib.rs | 88 ++ crates/jolt-field/src/solinas/fp128.rs | 2 +- crates/jolt-verifier-derive/Cargo.toml | 2 +- crates/jolt-verifier-derive/src/lib.rs | 77 +- .../jolt-verifier-derive/src/recipe_method.rs | 316 +++++++ crates/jolt-verifier/Cargo.toml | 2 + crates/jolt-verifier/src/immutable_recipes.rs | 124 +++ crates/jolt-verifier/src/lib.rs | 31 + crates/jolt-verifier/src/stages/relations.rs | 10 +- .../src/stages/stage1/outer_remainder.rs | 2 +- .../jolt-verifier/src/stages/stage1/verify.rs | 6 +- .../src/stages/stage2/product_remainder.rs | 2 +- .../jolt-verifier/src/stages/stage2/verify.rs | 6 +- .../jolt-verifier/src/stages/stage3/verify.rs | 6 +- .../src/stages/stage4/ram_val_check.rs | 2 +- .../jolt-verifier/src/stages/stage4/verify.rs | 6 +- .../src/stages/stage5/instruction_read_raf.rs | 2 +- .../jolt-verifier/src/stages/stage5/verify.rs | 6 +- .../src/stages/stage6a/bytecode_read_raf.rs | 2 +- .../src/stages/stage6a/verify.rs | 6 +- .../src/stages/stage6b/bytecode_read_raf.rs | 8 +- .../committed_reduction_cycle_phase.rs | 8 +- .../src/stages/stage6b/verify.rs | 4 +- .../jolt-verifier/src/stages/stage7/verify.rs | 6 +- examples/recursion/Cargo.toml | 7 + examples/recursion/guest/Cargo.toml | 1 + .../src/immutable_recipe_generation.rs | 271 ++++++ examples/recursion/src/main.rs | 22 +- jolt-sdk/Cargo.toml | 2 + 83 files changed, 3760 insertions(+), 75 deletions(-) create mode 100644 crates/jolt-claims-derive/src/recipe_items.rs create mode 100644 crates/jolt-claims-derive/src/record_generate.rs create mode 100644 crates/jolt-claims/src/immutable_recipes/flags.rs create mode 100644 crates/jolt-claims/src/immutable_recipes/key.rs create mode 100644 crates/jolt-claims/src/immutable_recipes/mod.rs create mode 100644 crates/jolt-claims/src/immutable_recipes/record.rs create mode 100644 crates/jolt-claims/src/immutable_recipes/tests.rs create mode 100644 crates/jolt-verifier-derive/src/recipe_method.rs create mode 100644 crates/jolt-verifier/src/immutable_recipes.rs create mode 100644 examples/recursion/src/immutable_recipe_generation.rs diff --git a/Cargo.lock b/Cargo.lock index e79fe99649..a087522923 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -5564,7 +5564,10 @@ version = "0.1.0" dependencies = [ "bincode 2.0.1", "clap", + "hex", "jolt-akita", + "jolt-claims", + "jolt-field", "jolt-inlines-blake2", "jolt-inlines-keccak256", "jolt-inlines-ntt", @@ -5574,6 +5577,8 @@ dependencies = [ "jolt-witness", "postcard", "serde", + "serde_json", + "sha2 0.11.0", "tracer", "tracing", "tracing-subscriber", diff --git a/crates/jolt-claims-derive/src/lib.rs b/crates/jolt-claims-derive/src/lib.rs index e9138d86a0..ad79b3ca5b 100644 --- a/crates/jolt-claims-derive/src/lib.rs +++ b/crates/jolt-claims-derive/src/lib.rs @@ -862,3 +862,32 @@ fn expand_challenges(input: DeriveInput) -> Result { } }) } + +mod recipe_items; + +#[proc_macro] +pub fn immutable_recipe_items(input: proc_macro::TokenStream) -> proc_macro::TokenStream { + recipe_items::expand(input.into()) + .unwrap_or_else(syn::Error::into_compile_error) + .into() +} + +mod record_generate; + +#[proc_macro_attribute] +pub fn record_generate( + arguments: proc_macro::TokenStream, + input: proc_macro::TokenStream, +) -> proc_macro::TokenStream { + if !arguments.is_empty() { + return syn::Error::new( + proc_macro2::Span::call_site(), + "record_generate accepts no override", + ) + .into_compile_error() + .into(); + } + record_generate::expand(input.into()) + .unwrap_or_else(syn::Error::into_compile_error) + .into() +} diff --git a/crates/jolt-claims-derive/src/recipe_items.rs b/crates/jolt-claims-derive/src/recipe_items.rs new file mode 100644 index 0000000000..c804154a18 --- /dev/null +++ b/crates/jolt-claims-derive/src/recipe_items.rs @@ -0,0 +1,123 @@ +use proc_macro2::TokenStream; +use quote::quote; +use syn::{parse2, parse_quote, Error, Fields, Item, ItemImpl, Type}; + +/// This dispatcher owns no relation formulas. Its input is the two adjacent +/// canonical item pairs; unknown/missing/duplicate items reject compilation. +pub fn expand(input: TokenStream) -> syn::Result { + let mut file = parse2::(input)?; + let mut structures = [false; 2]; + let mut implementations = [false; 2]; + for item in &mut file.items { + match item { + Item::Struct(item) => { + let index = named(&item.ident)?; + if structures[index] { + return Err(Error::new_spanned(item, "duplicate recipe structure")); + } + let Fields::Named(fields) = &item.fields else { + return Err(Error::new_spanned( + item, + "recipe delegate must have one named base field", + )); + }; + if fields.named.len() != 1 + || !fields.named.first().is_some_and(|field| { + field.ident.as_ref().is_some_and(|name| name == "base") + }) + { + return Err(Error::new_spanned(item, "recipe delegate fields changed")); + } + structures[index] = true; + } + Item::Impl(item) => { + let index = implementation(item)?; + if implementations[index] { + return Err(Error::new_spanned(item, "duplicate recipe implementation")); + } + implementations[index] = true; + item.items.push(match index { + 0 => parse_quote!(crate::immutable_base_recipe!(3, COMPOSED, Composed);), + 1 => parse_quote!(crate::immutable_base_recipe!(18, COMPOSED, Composed);), + _ => return Err(Error::new_spanned(item, "unknown recipe delegate")), + }); + } + item => { + return Err(Error::new_spanned( + item, + "unexpected item in closed recipe dispatch", + )) + } + } + } + if structures != [true; 2] || implementations != [true; 2] { + return Err(Error::new( + proc_macro2::Span::call_site(), + "both exact recipe delegate pairs are required", + )); + } + Ok(quote!(#file)) +} + +fn named(name: &syn::Ident) -> syn::Result { + match name.to_string().as_str() { + "ProductRemainder" => Ok(0), + "ReadRafAddressPhase" => Ok(1), + _ => Err(Error::new_spanned(name, "unknown recipe delegate name")), + } +} + +fn implementation(item: &ItemImpl) -> syn::Result { + let Some((relation, _)) = &item.trait_ else { + return Err(Error::new_spanned( + item, + "recipe dispatch requires the SymbolicSumcheck trait", + )); + }; + if item.modifiers.polarity.is_some() || !relation.is_ident("SymbolicSumcheck") { + return Err(Error::new_spanned(item, "unexpected recipe trait")); + } + let Type::Path(path) = &*item.self_ty else { + return Err(Error::new_spanned(item, "unexpected recipe self type")); + }; + if path.qself.is_some() || path.path.segments.len() != 1 { + return Err(Error::new_spanned(item, "unexpected qualified recipe type")); + } + let segment = path + .path + .segments + .first() + .ok_or_else(|| Error::new_spanned(item, "missing recipe type"))?; + named(&segment.ident) +} + +#[cfg(test)] +mod tests { + use super::expand; + use quote::quote; + + #[test] + fn dispatch_rejects_missing_duplicate_and_unknown_items() { + assert!(expand(quote!()).is_err()); + assert!(expand(quote!( + struct Other; + )) + .is_err()); + assert!(expand(quote!( + struct ProductRemainder { + base: Base, + } + struct ProductRemainder { + base: Base, + } + )) + .is_err()); + assert!(expand(quote!( + struct ProductRemainder { + base: Base, + extra: bool, + } + )) + .is_err()); + } +} diff --git a/crates/jolt-claims-derive/src/record_generate.rs b/crates/jolt-claims-derive/src/record_generate.rs new file mode 100644 index 0000000000..ec76d7fe67 --- /dev/null +++ b/crates/jolt-claims-derive/src/record_generate.rs @@ -0,0 +1,198 @@ +use proc_macro2::TokenStream; +use quote::quote; +use syn::{parse2, parse_quote, Error, Expr, ItemFn, Pat, Stmt}; + +fn path(expression: &Expr, name: &str) -> bool { + matches!(expression, Expr::Path(value) if value.path.is_ident(name)) +} + +pub fn expand(input: TokenStream) -> syn::Result { + let mut function: ItemFn = parse2(input)?; + if function.sig.ident != "collect_guest_proofs" { + return Err(Error::new_spanned( + function.sig, + "recording is restricted to canonical proof collection", + )); + } + let Some(Stmt::Expr(last, None)) = function.block.stmts.last() else { + return Err(Error::new_spanned( + &function.block, + "missing canonical stream return", + )); + }; + if !path(last, "all_groups_data") { + return Err(Error::new_spanned(last, "canonical stream return changed")); + } + let mut found = 0; + let mut statements = vec![parse_quote!( + let mut __recipe_request = crate::immutable_recipe_generation::request(guest, proofs, mode) + .expect("validated native immutable recipe request"); + )]; + let mut inputs = 0; + let mut traces = 0; + for mut statement in function.block.stmts { + if let Stmt::Local(local) = &mut statement { + if matches!(&local.pat, Pat::Ident(name) if name.ident == "inputs") { + let Some(initializer) = &mut local.init else { + return Err(Error::new_spanned(local, "missing input initializer")); + }; + let Expr::MethodCall(call) = &*initializer.expr else { + return Err(Error::new_spanned( + &initializer.expr, + "unexpected canonical inputs", + )); + }; + if call.method != "inputs" + || !path(&call.receiver, "guest") + || call.args.len() != 1 + || !call.args.first().is_some_and(|arg| path(arg, "proofs")) + { + return Err(Error::new_spanned( + call, + "canonical input construction changed", + )); + } + let original = &initializer.expr; + initializer.expr = Box::new( + parse_quote!(crate::immutable_recipe_generation::inputs(&__recipe_request, || #original)), + ); + inputs += 1; + } + } + if let Stmt::Expr(Expr::ForLoop(loop_body), _) = &mut statement { + if path(&loop_body.expr, "inputs") { + if !matches!(&*loop_body.pat, Pat::Ident(name) if name.ident == "input_bytes") { + return Err(Error::new_spanned( + loop_body, + "canonical input loop changed", + )); + } + let mut body = Vec::new(); + for step in std::mem::take(&mut loop_body.body.stmts) { + let observe = matches!(&step, Stmt::Local(local) + if matches!(&local.pat, Pat::Ident(name) if name.ident == "trace")); + if observe { + let Stmt::Local(local) = &step else { + return Err(Error::new_spanned(&step, "missing canonical trace")); + }; + let Some(initializer) = &local.init else { + return Err(Error::new_spanned(local, "missing trace initializer")); + }; + let Expr::MethodCall(expect) = &*initializer.expr else { + return Err(Error::new_spanned( + &initializer.expr, + "canonical trace result changed", + )); + }; + if expect.method != "expect" + || !matches!(&*expect.receiver, Expr::MethodCall(call) + if call.method == "trace" && call.args.len() == 2) + { + return Err(Error::new_spanned(expect, "canonical trace call changed")); + } + } + body.push(step); + if observe { + traces += 1; + body.push(parse_quote!( + if let Some(request) = __recipe_request.as_mut() { + request + .observe_trace(trace.dimensions.trace_length) + .expect("one canonical unpadded trace observation"); + } + )); + } + } + loop_body.body.stmts = body; + } + } + if let Stmt::Expr(Expr::ForLoop(loop_body), _) = &statement { + if matches!(&*loop_body.expr, Expr::Reference(reference) if path(&reference.expr, "records")) + { + let Pat::Tuple(pattern) = &*loop_body.pat else { + return Err(Error::new_spanned( + loop_body, + "unexpected canonical proof binding", + )); + }; + if pattern.elems.len() != 2 || !pattern.elems.iter().zip(["proof", "public_io"]) + .all(|(pattern, name)| matches!(pattern, Pat::Ident(value) if value.ident == name)) { + return Err(Error::new_spanned(loop_body, "canonical proof binding changed")); + } + let Some(Stmt::Expr(Expr::MethodCall(expect), Some(_))) = + loop_body.body.stmts.first() + else { + return Err(Error::new_spanned( + loop_body, + "missing canonical verification result check", + )); + }; + let Expr::Call(verify) = &*expect.receiver else { + return Err(Error::new_spanned( + expect, + "unexpected verification receiver", + )); + }; + let Expr::Path(verify_path) = &*verify.func else { + return Err(Error::new_spanned(verify, "unexpected verification callee")); + }; + let names: Vec<_> = verify_path + .path + .segments + .iter() + .map(|segment| segment.ident.to_string()) + .collect(); + if expect.method != "expect" + || names != ["jolt_sdk", "jolt_verifier", "verify"] + || verify.args.len() != 4 + { + return Err(Error::new_spanned( + verify, + "canonical verifier invocation changed", + )); + } + let mut arguments = verify.args.iter(); + if !matches!(arguments.next(), Some(Expr::Reference(reference)) if path(&reference.expr, "attached")) + || !arguments.next().is_some_and(|arg| path(arg, "public_io")) + || !arguments.next().is_some_and(|arg| path(arg, "proof")) + || !arguments.next().is_some_and(|arg| path(arg, "None")) + { + return Err(Error::new_spanned( + verify, + "canonical verifier inputs changed", + )); + } + found += 1; + statements.push( + parse_quote!(let __recipe_session = crate::immutable_recipe_generation::begin( + __recipe_request, n, records.len(), max_trace_length, + );), + ); + statements.push(statement); + statements.push( + parse_quote!(let __recipe_capture = __recipe_session.map(|session| { + session.finish(&records, &verifier_preprocessing, &payloads) + });), + ); + continue; + } + } + statements.push(statement); + } + if found != 1 || inputs != 1 || traces != 1 { + return Err(Error::new_spanned( + &function.sig, + "exactly one canonical input, trace and verification loop is required", + )); + } + let Some(last) = statements.last_mut() else { + return Err(Error::new_spanned(&function.sig, "missing stream return")); + }; + *last = parse_quote!({ + crate::immutable_recipe_generation::publish(__recipe_capture, &all_groups_data) + .expect("canonical immutable recipe generation"); + all_groups_data + }); + function.block.stmts = statements; + Ok(quote!(#function)) +} diff --git a/crates/jolt-claims/Cargo.toml b/crates/jolt-claims/Cargo.toml index 406df5c446..769e3c75b3 100644 --- a/crates/jolt-claims/Cargo.toml +++ b/crates/jolt-claims/Cargo.toml @@ -17,6 +17,8 @@ blake2-inline = ["dep:jolt-inlines-blake2", "jolt-inlines-blake2/digest"] allocative = ["dep:allocative"] field-inline = ["jolt-lookup-tables/field-inline"] test-utils = [] +immutable-recipes = ["akita", "field-inline", "jolt-field/immutable-recipes", "jolt-field/solinas"] +immutable-recipes-record = ["immutable-recipes"] [dependencies] allocative = { workspace = true, optional = true } diff --git a/crates/jolt-claims/src/immutable_recipes/flags.rs b/crates/jolt-claims/src/immutable_recipes/flags.rs new file mode 100644 index 0000000000..0b0158e530 --- /dev/null +++ b/crates/jolt-claims/src/immutable_recipes/flags.rs @@ -0,0 +1,48 @@ +use jolt_riscv::{CircuitFlags, InstructionFlags}; + +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { jolt_riscv; CircuitFlags { + AddOperands = 0, + SubtractOperands = 1, + MultiplyOperands = 2, + Load = 3, + Store = 4, + Jump = 5, + WriteLookupOutputToRD = 6, + VirtualInstruction = 7, + Assert = 8, + DoNotUpdateUnexpandedPC = 9, + Advice = 10, + IsCompressed = 11, + IsFirstInSequence = 12, + IsLastInSequence = 13, + #[cfg(feature = "field-inline")] + FieldAdd = 14, + #[cfg(feature = "field-inline")] + FieldSub = 15, + #[cfg(feature = "field-inline")] + FieldMul = 16, + #[cfg(feature = "field-inline")] + FieldInv = 17, + #[cfg(feature = "field-inline")] + FieldAssertEq = 18, + #[cfg(feature = "field-inline")] + FieldLoadAccumulateFromRegister = 19, + #[cfg(feature = "field-inline")] + FieldAssertZero = 20, + #[cfg(feature = "field-inline")] + FieldLoadImm = 21, + #[cfg(feature = "field-inline")] + FieldLoadAccumulateFromMemory = 22, + #[cfg(feature = "field-inline")] + FieldAdviceLimb = 23, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { jolt_riscv; InstructionFlags { + LeftOperandIsPC = 0, + RightOperandIsImm = 1, + LeftOperandIsRs1Value = 2, + RightOperandIsRs2Value = 3, + Branch = 4, + IsNoop = 5, +} } diff --git a/crates/jolt-claims/src/immutable_recipes/key.rs b/crates/jolt-claims/src/immutable_recipes/key.rs new file mode 100644 index 0000000000..97cd12ec5f --- /dev/null +++ b/crates/jolt-claims/src/immutable_recipes/key.rs @@ -0,0 +1,136 @@ +use std::num::NonZeroUsize; + +/// A streaming visitor: false stops before reading another shape member. +pub trait KeySink { + fn word(&mut self, value: u64) -> bool; +} + +pub trait KeyVisit { + fn visit(&self, sink: &mut dyn KeySink) -> bool; +} + +impl KeyVisit for usize { + fn visit(&self, sink: &mut dyn KeySink) -> bool { + u64::try_from(*self) + .ok() + .is_some_and(|word| sink.word(word)) + } +} + +impl KeyVisit for bool { + fn visit(&self, sink: &mut dyn KeySink) -> bool { + sink.word(u64::from(*self)) + } +} + +impl KeyVisit for NonZeroUsize { + fn visit(&self, sink: &mut dyn KeySink) -> bool { + self.get().visit(sink) + } +} + +impl KeyVisit for Vec { + fn visit(&self, sink: &mut dyn KeySink) -> bool { + self.len().visit(sink) && self.iter().all(|value| value.visit(sink)) + } +} + +impl KeyVisit for () { + fn visit(&self, _sink: &mut dyn KeySink) -> bool { + true + } +} + +#[macro_export] +macro_rules! recipe_shape { + ($ty:ty { $($field:ident),* $(,)? }) => { + #[cfg(feature = "immutable-recipes")] + impl $crate::immutable_recipes::KeyVisit for $ty { + fn visit(&self, sink: &mut dyn $crate::immutable_recipes::KeySink) -> bool { + let Self { $($field),* } = self; + true $(&& $crate::immutable_recipes::KeyVisit::visit($field, sink))* + } + } + }; + ($ty:ty => ( $field:ident )) => { + #[cfg(feature = "immutable-recipes")] + impl $crate::immutable_recipes::KeyVisit for $ty { + fn visit(&self, sink: &mut dyn $crate::immutable_recipes::KeySink) -> bool { + let Self($field) = self; + $crate::immutable_recipes::KeyVisit::visit($field, sink) + } + } + }; +} + +#[macro_export] +macro_rules! recipe_id { + ($module:path; $ty:ty { $( $(#[$attr:meta])* $variant:ident + $( ( $($value:ident : $tuple:ty),* $(,)? ) )? + $( { $($field:ident : $named:ty),* $(,)? } )? = $tag:literal ),* $(,)? }) => { + impl $crate::immutable_recipes::KeyVisit for $ty { + fn visit(&self, sink: &mut dyn $crate::immutable_recipes::KeySink) -> bool { + match self { + $( $(#[$attr])* Self::$variant $( ($($value),*) )? $( { $($field),* } )? + => sink.word($tag) + $( $(&& $crate::immutable_recipes::KeyVisit::visit($value, sink))* )? + $( $(&& $crate::immutable_recipes::KeyVisit::visit($field, sink))* )?, )* + } + } + } + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + impl $crate::immutable_recipes::record::RenderId for $ty { + fn render(&self, writer: &mut dyn ::std::fmt::Write) -> ::std::fmt::Result { + match self { + $( $(#[$attr])* Self::$variant $( ($($value),*) )? $( { $($field),* } )? => { + writer.write_str(concat!(stringify!($module), "::", stringify!($ty), "::", stringify!($variant)))?; + $( + writer.write_char('(')?; + $( $crate::immutable_recipes::record::RenderId::render($value, writer)?; writer.write_char(',')?; )* + writer.write_char(')')?; + )? + $( + writer.write_char('{')?; + $( writer.write_str(concat!(stringify!($field), ":"))?; + $crate::immutable_recipes::record::RenderId::render($field, writer)?; + writer.write_char(',')?; )* + writer.write_char('}')?; + )? + Ok(()) + }, )* + } + } + } + + }; +} + +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_recipe_key { + ($owner:ident, $sink:ident; @base $family:literal) => { + $crate::SymbolicSumcheck::immutable_shape_visit(&$owner.base, $family, $sink) + }; + ($owner:ident, $sink:ident; $($field:ident),+ $(,)?) => {{ + let Self { $($field),+ } = $owner; + true $(&& $crate::immutable_recipes::KeyVisit::visit($field, $sink))+ + }}; +} +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_base_recipe { + ($tag:literal, $family:ident, $native:ident) => { + $crate::immutable_symbolic_recipe!($tag, $family, $native; @base $tag); + }; +} + +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_recipe_admitted { + ($owner:ident; @base $family:literal) => { + $crate::SymbolicSumcheck::immutable_shape_permit(&$owner.base).is_some() + }; + ($owner:ident; $($field:ident),+ $(,)?) => { + true + }; +} diff --git a/crates/jolt-claims/src/immutable_recipes/mod.rs b/crates/jolt-claims/src/immutable_recipes/mod.rs new file mode 100644 index 0000000000..6416ddf8d4 --- /dev/null +++ b/crates/jolt-claims/src/immutable_recipes/mod.rs @@ -0,0 +1,522 @@ +//! Closed, generated expression recipes. Runtime proof inputs never supply this table. + +mod flags; +mod key; +#[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] +pub mod record; +pub use key::{KeySink, KeyVisit}; +/// Exact source-owned base eligibility for generic composed relations. +pub struct BasePermit { + marker: std::marker::PhantomData S>, +} +impl BasePermit { + pub(crate) fn new() -> Self { + Self { + marker: std::marker::PhantomData, + } + } +} + +use crate::{Expr, Source, Term}; +use jolt_field::{ImmutableRecipeField, Ring, IMMUTABLE_RECIPE_MODULUS}; +use std::cmp::Ordering; +use std::collections::BTreeSet; + +#[derive(Clone, Copy, Debug, PartialEq, Eq, PartialOrd, Ord)] +pub enum Phase { + Input, + Output, + Support, +} +impl Phase { + const fn code(self) -> u8 { + match self { + Self::Input => 0, + Self::Output => 1, + Self::Support => 2, + } + } +} + +#[derive(Clone, Copy, Debug, PartialEq, Eq, thiserror::Error)] +pub enum RecipeError { + #[error("invalid immutable recipe structure")] + Structure, + #[error("invalid immutable recipe identifier")] + Identifier, + #[error("invalid immutable recipe coefficient")] + Coefficient, + #[error("unsorted or duplicate immutable recipe key")] + Duplicate, +} + +/// Typed identifiers are compiler-checked, not deserialized at a callback site. +/// Private fields prevent constructing an unchecked record. Generated const +/// initializers must handle the checked constructor's error at compile time. +pub struct Record<'a, O, D, C> { + key: &'a [u64], + phase: Phase, + headers: &'a [u64], + factors: &'a [u64], + coefficients: &'a [u128], + sources: &'a [Source], + support: &'a [O], +} + +impl<'a, O, D, C> Record<'a, O, D, C> { + #[expect( + clippy::too_many_arguments, + reason = "one checked boundary for the closed generated record" + )] + pub const fn new( + key: &'a [u64], + phase: Phase, + headers: &'a [u64], + factors: &'a [u64], + coefficients: &'a [u128], + sources: &'a [Source], + support: &'a [O], + ) -> Result { + if key.len() < 2 + || key[0] != 1 + || key[1] == 0 + || sources.len() > 65536 + || coefficients.len() > 65536 + { + return Err(RecipeError::Structure); + } + match phase { + Phase::Support => { + if !headers.is_empty() || !coefficients.is_empty() || !sources.is_empty() { + return Err(RecipeError::Structure); + } + } + Phase::Input | Phase::Output => { + if !support.is_empty() { + return Err(RecipeError::Structure); + } + } + } + let mut coefficient = 0; + while coefficient < coefficients.len() { + if coefficients[coefficient] >= IMMUTABLE_RECIPE_MODULUS { + return Err(RecipeError::Coefficient); + } + coefficient += 1; + } + let mut term = 0; + let mut cursor = 0; + while term < headers.len() { + let header = headers[term]; + let count = header & 15; + let coefficient = (header >> 4) & 0xffff; + if header >> 20 != 0 || count > 12 || coefficient >= coefficients.len() as u64 { + return Err(RecipeError::Structure); + } + let mut used = 0; + while used < count { + if cursor >= factors.len() { + return Err(RecipeError::Structure); + } + let word = factors[cursor]; + let mut slot = 0; + while slot < 4 { + let code = (word >> (slot * 16)) & 0xffff; + if used + slot < count { + if code >= sources.len() as u64 { + return Err(RecipeError::Identifier); + } + } else if code != 0 { + return Err(RecipeError::Structure); + } + slot += 1; + } + used += 4; + cursor += 1; + } + term += 1; + } + if cursor != factors.len() { + return Err(RecipeError::Structure); + } + Ok(Self { + key, + phase, + headers, + factors, + coefficients, + sources, + support, + }) + } +} + +pub struct Table<'a, O, D, C> { + records: &'a [Record<'a, O, D, C>], +} +impl<'a, O, D, C> Table<'a, O, D, C> { + pub const fn new(records: &'a [Record<'a, O, D, C>]) -> Result { + let mut index = 1; + while index < records.len() { + let left = &records[index - 1]; + let right = &records[index]; + if left.phase.code() > right.phase.code() { + return Err(RecipeError::Duplicate); + } + if left.phase.code() == right.phase.code() { + let mut word = 0; + while word < left.key.len() + && word < right.key.len() + && left.key[word] == right.key[word] + { + word += 1; + } + if word == left.key.len() { + if word == right.key.len() { + return Err(RecipeError::Duplicate); + } + } else if word == right.key.len() || left.key[word] >= right.key[word] { + return Err(RecipeError::Duplicate); + } + } + index += 1; + } + Ok(Self { records }) + } + pub const fn empty() -> Self { + Self { records: &[] } + } +} + +pub struct Recipe<'a, F, O, D, C> { + record: &'a Record<'a, O, D, C>, + field: ImmutableRecipeField, + unit_first: bool, +} + +struct CompareKey<'a> { + words: std::slice::Iter<'a, u64>, + order: Ordering, +} +impl KeySink for CompareKey<'_> { + fn word(&mut self, value: u64) -> bool { + self.order = self + .words + .next() + .map_or(Ordering::Greater, |expected| value.cmp(expected)); + self.order == Ordering::Equal + } +} + +pub(crate) fn find<'a, F: Ring, O, D, C>( + table: &'a Table<'a, O, D, C>, + phase: Phase, + unit_first: bool, + mut visit: impl FnMut(&mut dyn KeySink) -> bool, +) -> Result>, RecipeError> { + let Some(field) = F::immutable_recipe_field() else { + return Ok(None); + }; + let mut low = 0; + let mut high = table.records.len(); + while low < high { + let mid = low + (high - low) / 2; + let record = &table.records[mid]; + let order = match phase.cmp(&record.phase) { + Ordering::Equal => { + let mut key = CompareKey { + words: record.key.iter(), + order: Ordering::Equal, + }; + let completed = visit(&mut key); + match key.order { + Ordering::Equal if !completed => return Ok(None), + Ordering::Equal if key.words.next().is_some() => Ordering::Less, + order => order, + } + } + order => order, + }; + match order { + Ordering::Less => high = mid, + Ordering::Greater => low = mid + 1, + Ordering::Equal => { + return Ok(Some(Recipe { + record, + field, + unit_first, + })) + } + } + } + Ok(None) +} + +enum Factors<'a, O, D, C> { + Canonical(std::slice::Iter<'a, Source>), + Compact { + words: &'a [u64], + sources: &'a [Source], + count: usize, + index: usize, + }, +} +impl<'a, O, D, C> Iterator for Factors<'a, O, D, C> { + type Item = Result<&'a Source, RecipeError>; + fn next(&mut self) -> Option { + match self { + Self::Canonical(values) => values.next().map(Ok), + Self::Compact { + words, + sources, + count, + index, + } => { + if *index == *count { + return None; + } + let current = *index; + *index += 1; + Some( + words + .get(current / 4) + .ok_or(RecipeError::Structure) + .and_then(|word| { + let code = u16::try_from((word >> ((current % 4) * 16)) & 0xffff) + .map_err(|_| RecipeError::Identifier)?; + sources + .get(usize::from(code)) + .ok_or(RecipeError::Identifier) + }), + ) + } + } + } +} +struct TermView<'a, F, O, D, C> { + coefficient: F, + factors: Factors<'a, O, D, C>, +} +enum Terms<'a, F, O, D, C> { + Canonical(std::slice::Iter<'a, Term>), + Compact { + record: &'a Record<'a, O, D, C>, + term: usize, + cursor: usize, + }, +} +impl<'a, F: Ring, O, D, C> Iterator for Terms<'a, F, O, D, C> { + type Item = Result, RecipeError>; + fn next(&mut self) -> Option { + match self { + Self::Canonical(terms) => terms.next().map(|term| { + Ok(TermView { + coefficient: term.coefficient, + factors: Factors::Canonical(term.factors.iter()), + }) + }), + Self::Compact { + record, + term, + cursor, + } => { + let header = *record.headers.get(*term)?; + *term += 1; + Some((|| { + let count = usize::try_from(header & 15).map_err(|_| RecipeError::Structure)?; + let code = u16::try_from((header >> 4) & 0xffff) + .map_err(|_| RecipeError::Coefficient)?; + let coefficient = F::immutable_recipe_import( + *record + .coefficients + .get(usize::from(code)) + .ok_or(RecipeError::Coefficient)?, + ) + .ok_or(RecipeError::Coefficient)?; + let end = cursor + .checked_add(count.div_ceil(4)) + .ok_or(RecipeError::Structure)?; + let words = record + .factors + .get(*cursor..end) + .ok_or(RecipeError::Structure)?; + *cursor = end; + Ok(TermView { + coefficient, + factors: Factors::Compact { + words, + sources: record.sources, + count, + index: 0, + }, + }) + })()) + } + } + } +} + +#[derive(Debug, PartialEq, Eq)] +pub enum EvaluationError { + Recipe(RecipeError), + Resolver(E), +} + +fn ordered_fold( + terms: Terms<'_, F, O, D, C>, + unit_first: bool, + mut opening: impl FnMut(&O) -> Result, + mut challenge: impl FnMut(&C) -> Result, + mut derived: impl FnMut(&D) -> Result, +) -> Result> { + let mut result = F::zero(); + for term in terms { + let mut term = term.map_err(EvaluationError::Recipe)?; + let mut value = term.coefficient; + let mut resolve = |factor: Result<&Source, RecipeError>| { + match factor.map_err(EvaluationError::Recipe)? { + Source::Opening(id) => opening(id), + Source::Challenge(id) => challenge(id), + Source::Derived(id) => derived(id), + } + .map_err(EvaluationError::Resolver) + }; + if unit_first { + if let Some(first) = term.factors.next() { + let factor = resolve(first)?; + if term.coefficient == F::one() { + value = factor; + } else if term.coefficient == -F::one() { + value = -factor; + } else { + value *= factor; + } + } + } + for factor in term.factors { + value *= resolve(factor)?; + } + result += value; + } + Ok(result) +} + +impl Recipe<'_, F, O, D, C> { + pub fn try_evaluate( + &self, + opening: impl FnMut(&O) -> Result, + challenge: impl FnMut(&C) -> Result, + derived: impl FnMut(&D) -> Result, + ) -> Result> { + let _ = self.field; + ordered_fold( + Terms::Compact { + record: self.record, + term: 0, + cursor: 0, + }, + self.unit_first, + opening, + challenge, + derived, + ) + } + pub fn openings(&self) -> BTreeSet + where + O: Ord + Clone, + { + self.record.support.iter().cloned().collect() + } +} + +/// Used only on the selected field/context path. Unsupported fields and native +/// recording retain the original Expr evaluator, including its operation order. +pub fn evaluate_canonical( + expression: &Expr, + _field: ImmutableRecipeField, + opening: impl FnMut(&O) -> Result, + challenge: impl FnMut(&C) -> Result, + derived: impl FnMut(&D) -> Result, +) -> Result> { + ordered_fold( + Terms::Canonical(expression.terms.iter()), + false, + opening, + challenge, + derived, + ) +} + +use crate::protocols::composed::ComposedOpeningId; +use crate::protocols::field_inline::{ + FieldInlineChallengeId, FieldInlineDerivedId, FieldInlineOpeningId, +}; +use crate::protocols::jolt::{JoltChallengeId, JoltDerivedId, JoltOpeningId}; + +pub type JoltTable = Table<'static, JoltOpeningId, JoltDerivedId, JoltChallengeId>; +pub type ComposedTable = Table<'static, ComposedOpeningId, JoltDerivedId, JoltChallengeId>; +pub type FieldTable = + Table<'static, FieldInlineOpeningId, FieldInlineDerivedId, FieldInlineChallengeId>; + +#[cfg(target_arch = "riscv64")] +pub(crate) mod compiled { + use super::{ComposedTable, FieldTable, JoltTable, Phase, Record}; + include!(env!("JOLT_IMMUTABLE_RECIPES_RS")); +} +#[cfg(not(target_arch = "riscv64"))] +pub(crate) mod compiled { + use super::{ComposedTable, FieldTable, JoltTable}; + pub static JOLT: JoltTable = JoltTable::empty(); + pub static COMPOSED: ComposedTable = ComposedTable::empty(); + pub static FIELD: FieldTable = FieldTable::empty(); +} + +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_symbolic_recipe { + ($tag:literal, $family:ident, $native:ident; $($key:tt)+) => { + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe( + &self, phase: $crate::immutable_recipes::Phase, + ) -> Result>, $crate::immutable_recipes::RecipeError> { + if F::immutable_recipe_field().is_none() { return Ok(None); } + if ($tag == 21 && phase != $crate::immutable_recipes::Phase::Input) + || !$crate::immutable_recipe_admitted!(self; $($key)+) { return Ok(None); } + $crate::immutable_recipes::find::( + &$crate::immutable_recipes::compiled::$family, phase, + phase == $crate::immutable_recipes::Phase::Output && $tag != 20 && $tag != 26, + |sink| { + sink.word(1) && sink.word($tag) + && $crate::immutable_recipe_key!(self, sink; $($key)+) + }, + ) + } + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + fn immutable_record_expression( + &self, phase: $crate::immutable_recipes::Phase, + expression: &$crate::Expr, + ) { + if F::immutable_recipe_native_field().is_none() { return; } + if ($tag == 21 && phase != $crate::immutable_recipes::Phase::Input) + || !$crate::immutable_recipe_admitted!(self; $($key)+) { return; } + $crate::immutable_recipes::record::expression(phase, |sink| { + sink.word(1) && sink.word($tag) + && $crate::immutable_recipe_key!(self, sink; $($key)+) + }, expression, $crate::immutable_recipes::record::Captured::$native); + } + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + fn immutable_record_support( + &self, openings: &::std::collections::BTreeSet, + ) { + if F::immutable_recipe_native_field().is_none() { return; } + if $tag == 21 || !$crate::immutable_recipe_admitted!(self; $($key)+) { return; } + $crate::immutable_recipes::record::support::(|sink| { + sink.word(1) && sink.word($tag) + && $crate::immutable_recipe_key!(self, sink; $($key)+) + }, openings, $crate::immutable_recipes::record::Captured::$native); + } + }; +} + +#[cfg(test)] +mod tests; diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs new file mode 100644 index 0000000000..0b645beb20 --- /dev/null +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -0,0 +1,780 @@ +//! Native-only observation of the canonical verifier's existing expression values. + +use super::{KeySink, Phase, Record, IMMUTABLE_RECIPE_MODULUS}; +use crate::protocols::composed::ComposedOpeningId; +use crate::protocols::field_inline::{ + FieldInlineChallengeId, FieldInlineDerivedId, FieldInlineOpeningId, +}; +use crate::protocols::jolt::{JoltChallengeId, JoltDerivedId, JoltOpeningId}; +use crate::{Expr, Source}; +use jolt_field::Ring; +use std::collections::BTreeSet; +use std::fmt::{self, Write}; +use std::marker::PhantomData; +use std::rc::Rc; +use std::sync::{Mutex, MutexGuard}; +use std::thread::{self, ThreadId}; + +const MAX_KEYS: usize = 4096; +const MAX_FACTORS: usize = 1_000_000; +const MAX_BYTES: usize = 32 * 1024 * 1024; + +// The reviewed23-owner coverage plus actual Expr output evaluators. The +// factored Outer output stays canonical and is not recorded. Bytecode anchor21 +// contributes input only; Full output is20. +const REQUIRED: &[(u64, Phase)] = &[ + (1, Phase::Support), + (2, Phase::Input), + (2, Phase::Output), + (2, Phase::Support), + (3, Phase::Input), + (3, Phase::Output), + (3, Phase::Support), + (4, Phase::Input), + (4, Phase::Output), + (4, Phase::Support), + (5, Phase::Input), + (5, Phase::Output), + (5, Phase::Support), + (6, Phase::Input), + (6, Phase::Output), + (6, Phase::Support), + (7, Phase::Input), + (7, Phase::Output), + (7, Phase::Support), + (8, Phase::Input), + (8, Phase::Output), + (8, Phase::Support), + (9, Phase::Input), + (9, Phase::Output), + (9, Phase::Support), + (10, Phase::Input), + (10, Phase::Output), + (11, Phase::Input), + (11, Phase::Output), + (11, Phase::Support), + (12, Phase::Input), + (12, Phase::Output), + (12, Phase::Support), + (13, Phase::Input), + (13, Phase::Output), + (13, Phase::Support), + (14, Phase::Output), + (14, Phase::Support), + (15, Phase::Output), + (15, Phase::Support), + (16, Phase::Output), + (16, Phase::Support), + (17, Phase::Output), + (17, Phase::Support), + (18, Phase::Input), + (18, Phase::Output), + (19, Phase::Input), + (19, Phase::Output), + (20, Phase::Output), + (21, Phase::Input), + (22, Phase::Input), + (22, Phase::Output), + (23, Phase::Input), + (23, Phase::Output), + (24, Phase::Input), + (24, Phase::Output), + (25, Phase::Input), + (25, Phase::Output), + (26, Phase::Input), + (26, Phase::Output), + (27, Phase::Input), + (27, Phase::Output), +]; + +#[derive(Clone, Copy, Debug, PartialEq, Eq, thiserror::Error)] +pub enum CaptureError { + #[error("immutable recipe recorder already active")] + Nested, + #[error("immutable recipe recorder thread or session mismatch")] + Ownership, + #[error("immutable recipe recorder lock poisoned")] + Poisoned, + #[error("immutable recipe recorder capacity exceeded")] + Capacity, + #[error("canonical expression cannot be represented by the closed recipe")] + Representation, + #[error("one complete recipe key produced different canonical values")] + Conflict, + #[error("canonical capture did not cover the required relation phases")] + Coverage, + #[error("canonical recipe source serialization failed")] + Serialization, +} + +/// Implemented by exhaustive identifier matches, never by Debug output. +pub trait RenderId { + fn render(&self, writer: &mut dyn Write) -> fmt::Result; +} + +impl RenderId for usize { + fn render(&self, writer: &mut dyn Write) -> fmt::Result { + write!(writer, "{self}usize") + } +} +impl RenderId for () { + fn render(&self, writer: &mut dyn Write) -> fmt::Result { + writer.write_str("()") + } +} + +#[derive(PartialEq, Eq)] +pub(crate) struct NativeRecord { + key: Vec, + phase: Phase, + headers: Vec, + factors: Vec, + coefficients: Vec, + sources: Vec>, + support: Vec, +} + +pub(crate) enum Captured { + Jolt(NativeRecord), + Composed(NativeRecord), + Field(NativeRecord), +} + +impl Captured { + fn identity(&self) -> (&[u64], Phase) { + match self { + Self::Jolt(record) => (&record.key, record.phase), + Self::Composed(record) => (&record.key, record.phase), + Self::Field(record) => (&record.key, record.phase), + } + } + fn same_value(&self, other: &Self) -> bool { + match (self, other) { + (Self::Jolt(left), Self::Jolt(right)) => left == right, + (Self::Composed(left), Self::Composed(right)) => left == right, + (Self::Field(left), Self::Field(right)) => left == right, + _ => false, + } + } +} + +struct Observed { + record: Captured, + occurrences: u64, +} + +struct State { + owner: ThreadId, + id: u64, + failure: Option, + records: Vec, + logical_bytes: usize, + factor_events: usize, +} +struct Global { + next: u64, + active: Option, +} +static GLOBAL: Mutex = Mutex::new(Global { + next: 0, + active: None, +}); + +fn global() -> Result, CaptureError> { + GLOBAL.lock().map_err(|_| CaptureError::Poisoned) +} + +/// A native owner must keep this guard around the existing canonical verification +/// and call finish only after every intended proof has been accepted. Dropping it +/// discards all capture. The Rc marker prevents transfer to another thread. +pub struct Session { + id: u64, + marker: PhantomData>, +} +impl Session { + pub fn begin() -> Result { + let mut global = global()?; + if let Some(active) = &mut global.active { + active.failure = Some(CaptureError::Nested); + return Err(CaptureError::Nested); + } + global.next = global.next.checked_add(1).ok_or(CaptureError::Capacity)?; + let id = global.next; + global.active = Some(State { + owner: thread::current().id(), + id, + failure: None, + records: Vec::new(), + logical_bytes: 0, + factor_events: 0, + }); + Ok(Self { + id, + marker: PhantomData, + }) + } + + pub fn finish(self) -> Result { + let mut global = global()?; + let state = global.active.as_ref().ok_or(CaptureError::Ownership)?; + if state.id != self.id || state.owner != thread::current().id() { + return Err(CaptureError::Ownership); + } + let state = global.active.take().ok_or(CaptureError::Ownership)?; + drop(global); + if let Some(error) = state.failure { + return Err(error); + } + if REQUIRED.iter().any(|(tag, phase)| { + !state.records.iter().any(|record| { + let (key, actual_phase) = record.record.identity(); + key.get(1) == Some(tag) && actual_phase == *phase + }) + }) { + return Err(CaptureError::Coverage); + } + Ok(Capture { + records: state.records, + logical_bytes: state.logical_bytes, + factor_events: state.factor_events, + }) + } +} +impl Drop for Session { + fn drop(&mut self) { + if let Ok(mut global) = global() { + if global + .active + .as_ref() + .is_some_and(|state| state.id == self.id) + { + global.active = None; + } + } + } +} + +pub struct Capture { + records: Vec, + pub logical_bytes: usize, + pub factor_events: usize, +} + +struct Budget { + bytes: usize, + factors: usize, +} +impl Budget { + fn charge(&mut self, count: usize) -> Result<(), CaptureError> { + self.bytes = self + .bytes + .checked_add( + count + .checked_mul(std::mem::size_of::()) + .ok_or(CaptureError::Capacity)?, + ) + .ok_or(CaptureError::Capacity)?; + if self.bytes > MAX_BYTES { + return Err(CaptureError::Capacity); + } + Ok(()) + } + fn push(&mut self, values: &mut Vec, value: T) -> Result<(), CaptureError> { + self.charge::(1)?; + values.try_reserve(1).map_err(|_| CaptureError::Capacity)?; + values.push(value); + Ok(()) + } +} +struct KeyBuffer<'a> { + words: Vec, + budget: &'a mut Budget, + failed: bool, +} +impl KeySink for KeyBuffer<'_> { + fn word(&mut self, value: u64) -> bool { + if self.failed { + return false; + } + if self.budget.push(&mut self.words, value).is_err() { + self.failed = true; + } + !self.failed + } +} + +impl NativeRecord { + fn new( + phase: Phase, + visit: impl FnOnce(&mut dyn KeySink) -> bool, + budget: &mut Budget, + ) -> Result { + let mut key = KeyBuffer { + words: Vec::new(), + budget, + failed: false, + }; + if !visit(&mut key) || key.failed { + return Err(CaptureError::Capacity); + } + Ok(Self { + key: key.words, + phase, + headers: Vec::new(), + factors: Vec::new(), + coefficients: Vec::new(), + sources: Vec::new(), + support: Vec::new(), + }) + } + fn expression( + &mut self, + expression: &Expr, + budget: &mut Budget, + ) -> Result<(), CaptureError> { + if self.phase == Phase::Support { + return Err(CaptureError::Representation); + } + for term in &expression.terms { + if term.factors.len() > 12 { + return Err(CaptureError::Representation); + } + budget.factors = budget + .factors + .checked_add(term.factors.len()) + .ok_or(CaptureError::Capacity)?; + if budget.factors > MAX_FACTORS { + return Err(CaptureError::Capacity); + } + let coefficient = term + .coefficient + .immutable_recipe_export() + .ok_or(CaptureError::Representation)?; + if coefficient >= IMMUTABLE_RECIPE_MODULUS { + return Err(CaptureError::Representation); + } + let coefficient_index = if let Some(index) = self + .coefficients + .iter() + .position(|value| *value == coefficient) + { + index + } else { + let index = self.coefficients.len(); + budget.push(&mut self.coefficients, coefficient)?; + index + }; + let coefficient_index = + u16::try_from(coefficient_index).map_err(|_| CaptureError::Representation)?; + let count = + u64::try_from(term.factors.len()).map_err(|_| CaptureError::Representation)?; + budget.push( + &mut self.headers, + (u64::from(coefficient_index) << 4) | count, + )?; + let mut word = 0; + for (index, source) in term.factors.iter().enumerate() { + let source_index = + if let Some(index) = self.sources.iter().position(|value| value == source) { + index + } else { + let index = self.sources.len(); + budget.push(&mut self.sources, *source)?; + index + }; + let source_index = + u16::try_from(source_index).map_err(|_| CaptureError::Representation)?; + word |= u64::from(source_index) << ((index % 4) * 16); + if index % 4 == 3 || index + 1 == term.factors.len() { + budget.push(&mut self.factors, word)?; + word = 0; + } + } + } + self.validate() + } + fn validate(&self) -> Result<(), CaptureError> { + Record::new( + &self.key, + self.phase, + &self.headers, + &self.factors, + &self.coefficients, + &self.sources, + &self.support, + ) + .map(|_| ()) + .map_err(|_| CaptureError::Representation) + } +} + +fn capture(make: impl FnOnce(&mut Budget) -> Result) { + let Ok(mut global) = global() else { + return; + }; + let Some(state) = &mut global.active else { + return; + }; + if state.failure.is_some() { + return; + } + if state.owner != thread::current().id() { + state.failure = Some(CaptureError::Ownership); + return; + } + let mut budget = Budget { + bytes: state.logical_bytes, + factors: state.factor_events, + }; + let result = make(&mut budget).and_then(|record| { + if let Some(previous) = state + .records + .iter_mut() + .find(|previous| previous.record.identity() == record.identity()) + { + if !previous.record.same_value(&record) { + return Err(CaptureError::Conflict); + } + previous.occurrences = previous + .occurrences + .checked_add(1) + .ok_or(CaptureError::Capacity)?; + } else { + if state.records.len() == MAX_KEYS { + return Err(CaptureError::Capacity); + } + budget.push( + &mut state.records, + Observed { + record, + occurrences: 1, + }, + )?; + } + // Count every observation, including duplicate keys, against the finite + // capture budget. Repeated verifier use cannot escape the event ceiling. + state.logical_bytes = budget.bytes; + state.factor_events = budget.factors; + Ok(()) + }); + if let Err(error) = result { + state.failure = Some(error); + } +} + +pub(crate) fn expression( + phase: Phase, + visit: impl FnOnce(&mut dyn KeySink) -> bool, + expression: &Expr, + wrap: impl FnOnce(NativeRecord) -> Captured, +) { + let Some(_field) = F::immutable_recipe_native_field() else { + return; + }; + capture(|budget| { + let mut record = NativeRecord::new(phase, visit, budget)?; + record.expression(expression, budget)?; + Ok(wrap(record)) + }); +} + +pub(crate) fn support( + visit: impl FnOnce(&mut dyn KeySink) -> bool, + openings: &BTreeSet, + wrap: impl FnOnce(NativeRecord) -> Captured, +) { + let Some(_field) = F::immutable_recipe_native_field() else { + return; + }; + capture(|budget| { + let mut record = NativeRecord::new(Phase::Support, visit, budget)?; + for opening in openings { + budget.push(&mut record.support, *opening)?; + } + record.validate()?; + Ok(wrap(record)) + }); +} + +struct SourceText { + value: String, +} +impl Write for SourceText { + fn write_str(&mut self, value: &str) -> fmt::Result { + let length = self + .value + .len() + .checked_add(value.len()) + .ok_or(fmt::Error)?; + if length > MAX_BYTES { + return Err(fmt::Error); + } + self.value + .try_reserve(value.len()) + .map_err(|_| fmt::Error)?; + self.value.push_str(value); + Ok(()) + } +} + +impl NativeRecord { + fn render(&self, writer: &mut dyn Write) -> fmt::Result { + writer.write_str("match Record::new(&[")?; + for word in &self.key { + write!(writer, "{word}u64,")?; + } + let phase = match self.phase { + Phase::Input => "Input", + Phase::Output => "Output", + Phase::Support => "Support", + }; + write!(writer, "],Phase::{phase},&[")?; + for word in &self.headers { + write!(writer, "{word}u64,")?; + } + writer.write_str("],&[")?; + for word in &self.factors { + write!(writer, "{word}u64,")?; + } + writer.write_str("],&[")?; + for coefficient in &self.coefficients { + write!(writer, "{coefficient}u128,")?; + } + writer.write_str("],&[")?; + for source in &self.sources { + match source { + Source::Opening(id) => { + writer.write_str("Source::Opening(")?; + id.render(writer)?; + } + Source::Challenge(id) => { + writer.write_str("Source::Challenge(")?; + id.render(writer)?; + } + Source::Derived(id) => { + writer.write_str("Source::Derived(")?; + id.render(writer)?; + } + } + writer.write_str("),")?; + } + writer.write_str("],&[")?; + for opening in &self.support { + opening.render(writer)?; + writer.write_char(',')?; + } + writer.write_str("]){Ok(record)=>record,Err(_)=>panic!(\"invalid closed recipe\")},") + } +} + +impl Capture { + /// Emit only compiler-typed, const-validated records. Identifier spelling is + /// produced by exhaustive source-owned matches, not parsed external text. + pub fn source(&mut self) -> Result { + self.records.sort_unstable_by(|left, right| { + let (left_key, left_phase) = left.record.identity(); + let (right_key, right_phase) = right.record.identity(); + left_phase + .cmp(&right_phase) + .then_with(|| left_key.cmp(right_key)) + }); + let mut writer = SourceText { + value: String::new(), + }; + self.render_source(&mut writer) + .map_err(|_| CaptureError::Serialization)?; + Ok(writer.value) + } + + fn render_source(&self, writer: &mut dyn Write) -> fmt::Result { + writer.write_str("use crate::Source;\n")?; + for family in ["JOLT", "COMPOSED", "FIELD"] { + let table = match family { + "JOLT" => "JoltTable", + "COMPOSED" => "ComposedTable", + _ => "FieldTable", + }; + write!(writer, "pub static {family}:{table}=match {table}::new(&[")?; + for record in &self.records { + match &record.record { + Captured::Jolt(record) if family == "JOLT" => record.render(writer)?, + Captured::Composed(record) if family == "COMPOSED" => record.render(writer)?, + Captured::Field(record) if family == "FIELD" => record.render(writer)?, + _ => {} + } + } + writer.write_str("]){Ok(table)=>table,Err(_)=>panic!(\"invalid closed table\")};\n")?; + } + Ok(()) + } +} + +#[derive(serde::Serialize)] +pub struct RecordIdentity<'a> { + pub key: &'a [u64], + pub phase: &'static str, + pub observations: u64, + pub headers: &'a [u64], + pub factors: &'a [u64], + pub coefficients: &'a [u128], + pub sources: Vec, + pub support: Vec, +} + +impl NativeRecord { + fn identity( + &self, + observations: u64, + budget: &mut Budget, + ) -> Result, CaptureError> { + let mut sources = Vec::new(); + let mut support = Vec::new(); + budget.charge::(self.sources.len())?; + budget.charge::(self.support.len())?; + sources + .try_reserve(self.sources.len()) + .map_err(|_| CaptureError::Capacity)?; + support + .try_reserve(self.support.len()) + .map_err(|_| CaptureError::Capacity)?; + for source in &self.sources { + let mut writer = SourceText { + value: String::new(), + }; + let result = match source { + Source::Opening(id) => writer + .write_str("Opening:") + .and_then(|()| id.render(&mut writer)), + Source::Challenge(id) => writer + .write_str("Challenge:") + .and_then(|()| id.render(&mut writer)), + Source::Derived(id) => writer + .write_str("Derived:") + .and_then(|()| id.render(&mut writer)), + }; + result.map_err(|_| CaptureError::Serialization)?; + budget.charge::(writer.value.len())?; + sources.push(writer.value); + } + for opening in &self.support { + let mut writer = SourceText { + value: String::new(), + }; + opening + .render(&mut writer) + .map_err(|_| CaptureError::Serialization)?; + budget.charge::(writer.value.len())?; + support.push(writer.value); + } + let phase = match self.phase { + Phase::Input => "input", + Phase::Output => "output", + Phase::Support => "support", + }; + Ok(RecordIdentity { + key: &self.key, + phase, + observations, + headers: &self.headers, + factors: &self.factors, + coefficients: &self.coefficients, + sources, + support, + }) + } +} +impl Capture { + pub fn identities(&self) -> Result>, CaptureError> { + let mut identities = Vec::new(); + let mut budget = Budget { + bytes: 0, + factors: 0, + }; + budget.charge::>(self.records.len())?; + identities + .try_reserve(self.records.len()) + .map_err(|_| CaptureError::Capacity)?; + for observed in &self.records { + identities.push(match &observed.record { + Captured::Jolt(record) => record.identity(observed.occurrences, &mut budget)?, + Captured::Composed(record) => record.identity(observed.occurrences, &mut budget)?, + Captured::Field(record) => record.identity(observed.occurrences, &mut budget)?, + }); + } + Ok(identities) + } +} + +#[cfg(test)] +mod tests { + #![expect( + clippy::unwrap_used, + reason = "bounded literal native recorder fixtures" + )] + use super::*; + use crate::protocols::jolt::JoltRelationId; + use crate::Term; + use jolt_field::Prime128OffsetA7F7 as F; + + fn observe(coefficient: u64) { + let expression = Expr:: { + terms: vec![Term { + coefficient: F::from_u64(coefficient), + factors: vec![Source::Opening(JoltOpeningId::TrustedAdvice { + relation: JoltRelationId::SpartanOuter, + })], + }], + }; + super::expression( + Phase::Output, + |sink| sink.word(1) && sink.word(1), + &expression, + Captured::Jolt, + ); + } + + #[test] + fn session_conflicts_ownership_and_incomplete_coverage_never_emit() { + let session = Session::begin().unwrap(); + observe(1); + observe(2); + assert!(matches!(session.finish(), Err(CaptureError::Conflict))); + + let session = Session::begin().unwrap(); + assert!(matches!(Session::begin(), Err(CaptureError::Nested))); + assert!(matches!(session.finish(), Err(CaptureError::Nested))); + + let session = Session::begin().unwrap(); + thread::spawn(|| observe(1)).join().unwrap(); + assert!(matches!(session.finish(), Err(CaptureError::Ownership))); + + let session = Session::begin().unwrap(); + observe(1); + assert!(matches!(session.finish(), Err(CaptureError::Coverage))); + } + + #[test] + fn reservation_limits_are_checked_before_capture_growth() { + let mut budget = Budget { + bytes: MAX_BYTES, + factors: 0, + }; + let mut words = Vec::new(); + assert_eq!(budget.push(&mut words, 7u64), Err(CaptureError::Capacity)); + assert!(words.is_empty()); + assert_eq!(words.capacity(), 0); + } + + #[test] + fn typed_identifier_source_has_a_fixed_constructor_spelling() { + let source = JoltOpeningId::TrustedAdvice { + relation: JoltRelationId::SpartanOuter, + }; + let mut writer = SourceText { + value: String::new(), + }; + source.render(&mut writer).unwrap(); + assert_eq!(writer.value, + "crate::protocols::jolt::JoltOpeningId::TrustedAdvice{relation:crate::protocols::jolt::JoltRelationId::SpartanOuter,}"); + } +} diff --git a/crates/jolt-claims/src/immutable_recipes/tests.rs b/crates/jolt-claims/src/immutable_recipes/tests.rs new file mode 100644 index 0000000000..907ba1c783 --- /dev/null +++ b/crates/jolt-claims/src/immutable_recipes/tests.rs @@ -0,0 +1,228 @@ +#![expect(clippy::unwrap_used, reason = "literal recipe fixtures must validate")] + +use super::{find, ordered_fold, EvaluationError, Phase, RecipeError, Record, Table, Terms}; +use crate::{Expr, Source, Term}; +use jolt_field::{Prime128OffsetA7F7 as F, Ring, IMMUTABLE_RECIPE_MODULUS}; +use std::cell::RefCell; + +type Id = usize; +static SOURCES: [Source; 3] = + [Source::Opening(4), Source::Challenge(5), Source::Derived(6)]; + +fn record<'a>( + headers: &'a [u64], + factors: &'a [u64], + coefficients: &'a [u128], +) -> Result, RecipeError> { + Record::new( + &[1, 1], + Phase::Output, + headers, + factors, + coefficients, + &SOURCES, + &[], + ) +} + +#[test] +fn both_views_obey_literal_callback_trace_even_after_zero() { + let compact = record(&[3, 16, 34], &[0x0002_0001_0000, 2], &[0, 7, 2]).unwrap(); + let canonical = Expr { + terms: vec![ + Term { + coefficient: F::from_u64(0), + factors: SOURCES.to_vec(), + }, + Term { + coefficient: F::from_u64(7), + factors: vec![], + }, + Term { + coefficient: F::from_u64(2), + factors: vec![Source::Derived(6), Source::Opening(4)], + }, + ], + }; + for terms in [ + Terms::Compact { + record: &compact, + term: 0, + cursor: 0, + }, + Terms::Canonical(canonical.terms.iter()), + ] { + let seen = RefCell::new(Vec::new()); + let value = ordered_fold( + terms, + false, + |id| { + seen.borrow_mut().push((0, *id)); + Ok::<_, ()>(F::from_u64(3)) + }, + |id| { + seen.borrow_mut().push((1, *id)); + Ok(F::from_u64(5)) + }, + |id| { + seen.borrow_mut().push((2, *id)); + Ok(F::from_u64(11)) + }, + ) + .unwrap(); + assert_eq!(value, F::from_u64(73)); + assert_eq!(*seen.borrow(), [(0, 4), (1, 5), (2, 6), (2, 6), (0, 4)]); + } +} + +#[test] +fn first_resolver_error_prevents_later_callbacks() { + let compact = record(&[3], &[0x0002_0001_0000], &[0]).unwrap(); + let seen = RefCell::new(Vec::new()); + let result = ordered_fold( + Terms::Compact { + record: &compact, + term: 0, + cursor: 0, + }, + false, + |_| { + seen.borrow_mut().push(0); + Ok(F::from_u64(0)) + }, + |_| { + seen.borrow_mut().push(1); + Err("first") + }, + |_| { + seen.borrow_mut().push(2); + Err("later") + }, + ); + assert_eq!(result, Err(EvaluationError::Resolver("first"))); + assert_eq!(*seen.borrow(), [0, 1]); +} + +#[test] +fn malformed_records_never_expose_a_view() { + assert!(matches!( + record(&[1], &[1 << 16], &[1]), + Err(RecipeError::Structure) + )); + assert!(matches!( + record(&[1], &[3], &[1]), + Err(RecipeError::Identifier) + )); + assert!(matches!( + record(&[13], &[0, 0, 0, 0], &[1]), + Err(RecipeError::Structure) + )); + assert!(matches!( + record(&[1 << 20], &[], &[1]), + Err(RecipeError::Structure) + )); + assert!(matches!( + record(&[1], &[0], &[IMMUTABLE_RECIPE_MODULUS]), + Err(RecipeError::Coefficient) + )); + let records = [ + record(&[1], &[0], &[1]).unwrap(), + record(&[1], &[0], &[1]).unwrap(), + ]; + assert!(matches!(Table::new(&records), Err(RecipeError::Duplicate))); +} + +#[test] +fn packed_factor_boundaries_and_unit_signs_keep_every_callback() { + let coefficients = [1, IMMUTABLE_RECIPE_MODULUS - 1, 7]; + let compact = record(&[12, 17, 32], &[0, 0, 0, 0], &coefficients).unwrap(); + let mut count = 0; + let result = ordered_fold( + Terms::Compact { + record: &compact, + term: 0, + cursor: 0, + }, + true, + |_| { + count += 1; + Ok::<_, ()>(F::from_u64(2)) + }, + |_| Err(()), + |_| Err(()), + ) + .unwrap(); + assert_eq!(count, 13); + assert_eq!(result, F::from_u64(4101)); +} + +#[test] +fn native_field_never_visits_keys() { + #[cfg(not(target_arch = "riscv64"))] + { + let mut visited = false; + let table = Table::empty(); + let result = find::(&table, Phase::Input, false, |_| { + visited = true; + true + }); + assert!(matches!(result, Ok(None))); + assert!(!visited); + } +} + +#[test] +fn coefficient_import_rejects_modulus_without_reduction() { + assert_eq!(F::immutable_recipe_import(IMMUTABLE_RECIPE_MODULUS), None); + assert_eq!( + F::immutable_recipe_import(17).and_then(|v| v.immutable_recipe_export()), + Some(17) + ); +} + +#[test] +fn full_shape_key_distinguishes_order_payloads_and_affine_flag() { + use super::{KeySink, KeyVisit}; + use crate::protocols::jolt::geometry::spartan::SpartanOuterDimensions; + use crate::protocols::jolt::JoltVirtualPolynomial; + use jolt_riscv::CircuitFlags; + use std::collections::BTreeSet; + + struct Words(Vec); + impl KeySink for Words { + fn word(&mut self, value: u64) -> bool { + self.0.push(value); + true + } + } + let address = JoltVirtualPolynomial::InstructionRa(7); + let load = JoltVirtualPolynomial::OpFlags(CircuitFlags::Load); + let shapes = [ + (12, vec![address, load], false), + (13, vec![address, load], false), + (12, vec![address], false), + (12, vec![load, address], false), + ( + 12, + vec![JoltVirtualPolynomial::InstructionRa(8), load], + false, + ), + ( + 12, + vec![address, JoltVirtualPolynomial::OpFlags(CircuitFlags::Store)], + false, + ), + (12, vec![address, load], true), + ]; + let mut keys = BTreeSet::new(); + for (index, (log_t, variables, affine)) in shapes.into_iter().enumerate() { + let shape = SpartanOuterDimensions::new(log_t, variables, affine).unwrap(); + let mut words = Words(Vec::new()); + assert!(shape.visit(&mut words)); + if index == 0 { + assert_eq!(words.0, [12, 2, 25, 7, 36, 3, 0]); + } + assert!(keys.insert(words.0)); + } + assert_eq!(keys.len(), 7); +} diff --git a/crates/jolt-claims/src/lattice.rs b/crates/jolt-claims/src/lattice.rs index 11e2d7ffb0..405d1f9532 100644 --- a/crates/jolt-claims/src/lattice.rs +++ b/crates/jolt-claims/src/lattice.rs @@ -223,3 +223,6 @@ mod tests { } } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(BalancedIncChunking { chunk_width }); diff --git a/crates/jolt-claims/src/lib.rs b/crates/jolt-claims/src/lib.rs index a915f01484..88c08c2bb3 100644 --- a/crates/jolt-claims/src/lib.rs +++ b/crates/jolt-claims/src/lib.rs @@ -43,3 +43,22 @@ pub use claims::{challenge, constant, derived, opening, Expr, Source, Term}; pub use jolt_claims_derive::{InputClaims, OutputClaims, SumcheckChallenges}; pub use sumcheck::SumcheckDomain; pub use symbolic::{referenced_openings, SymbolicSumcheck}; + +#[cfg(feature = "immutable-recipes")] +pub mod immutable_recipes; + +#[cfg(not(feature = "immutable-recipes"))] +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_recipe_items { + ($($item:item)*) => { $($item)* }; +} +#[cfg(feature = "immutable-recipes")] +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_recipe_items { + ($($item:item)*) => { ::jolt_claims_derive::immutable_recipe_items! { $($item)* } }; +} + +#[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] +pub use jolt_claims_derive::record_generate; diff --git a/crates/jolt-claims/src/protocols/composed/ids.rs b/crates/jolt-claims/src/protocols/composed/ids.rs index f01ab89e85..72eecfec36 100644 --- a/crates/jolt-claims/src/protocols/composed/ids.rs +++ b/crates/jolt-claims/src/protocols/composed/ids.rs @@ -45,3 +45,9 @@ impl TryFrom for FieldInlineOpeningId { } } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::composed; ComposedOpeningId { + Jolt(value0: JoltOpeningId) = 0, + FieldInline(value0: FieldInlineOpeningId) = 1, +} } diff --git a/crates/jolt-claims/src/protocols/composed/relations.rs b/crates/jolt-claims/src/protocols/composed/relations.rs index bd300aeaf5..a0f88328c6 100644 --- a/crates/jolt-claims/src/protocols/composed/relations.rs +++ b/crates/jolt-claims/src/protocols/composed/relations.rs @@ -104,7 +104,7 @@ impl SymbolicSumcheck for OuterRemainder { let (az, bz) = self.output_factor_expressions(); derived(JoltDerivedId::from(SpartanOuterPublic::TauKernel)) * az * bz } - + crate::immutable_symbolic_recipe!(1, COMPOSED, Composed; shape); /// The openings of `az` and `bz`, without expanding their product: each /// expanded term is a distinct weight-indexed monomial with coefficient /// one, so no term cancels and the product references exactly these. @@ -165,7 +165,7 @@ impl SymbolicSumcheck for ProductUniskip { lift(self.base.output_expression()) } } - +crate::immutable_recipe_items! { #[derive(Clone)] pub struct ProductRemainder { base: base::ProductRemainder, @@ -259,7 +259,7 @@ where lift(self.base.output_expression()) } } - +} impl ReadRafAddressPhase { fn bytecode_input_extension_expr() -> ComposedExpr { let gamma_public = |challenge: BytecodeReadRafChallenge| -> ComposedExpr { diff --git a/crates/jolt-claims/src/protocols/field_inline/geometry/dimensions.rs b/crates/jolt-claims/src/protocols/field_inline/geometry/dimensions.rs index 289fd007a4..9298148c54 100644 --- a/crates/jolt-claims/src/protocols/field_inline/geometry/dimensions.rs +++ b/crates/jolt-claims/src/protocols/field_inline/geometry/dimensions.rs @@ -133,3 +133,14 @@ pub struct FieldRegistersReadWriteOpeningPoint { pub r_cycle: Vec, pub opening_point: Vec, } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(FieldRegistersTraceDimensions { log_t }); + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(FieldRegistersReadWriteDimensions { + log_t, + log_k, + phase1_num_rounds, + phase2_num_rounds +}); diff --git a/crates/jolt-claims/src/protocols/field_inline/ids.rs b/crates/jolt-claims/src/protocols/field_inline/ids.rs index 6d6a15d200..f6263a3991 100644 --- a/crates/jolt-claims/src/protocols/field_inline/ids.rs +++ b/crates/jolt-claims/src/protocols/field_inline/ids.rs @@ -138,3 +138,80 @@ pub enum FieldInlineDerivedId { FieldRegistersValEvaluation(FieldRegistersValEvaluationPublic), FieldRegistersIncClaimReduction(FieldRegistersIncClaimReductionPublic), } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldInlineRelationId { + FieldRegistersSpartanOuter = 0, + FieldRegistersClaimReduction = 1, + FieldRegistersProduct = 2, + FieldRegistersReadWriteChecking = 3, + FieldRegistersValEvaluation = 4, + FieldRegistersIncClaimReduction = 5, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldRegistersClaimReductionChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldRegistersClaimReductionPublic { + EqSpartan = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldRegistersReadWriteChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldRegistersReadWritePublic { + EqCycle = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldRegistersValEvaluationPublic { + LtCycle = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldRegistersIncClaimReductionChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldInlineChallengeId { + FieldRegistersClaimReduction(value0: FieldRegistersClaimReductionChallenge) = 0, + FieldRegistersReadWrite(value0: FieldRegistersReadWriteChallenge) = 1, + FieldRegistersIncClaimReduction(value0: FieldRegistersIncClaimReductionChallenge) = 2, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldInlineCommittedPolynomial { + FieldRdInc = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldInlineVirtualPolynomial { + FieldRs1Value = 0, + FieldRs2Value = 1, + FieldRdValue = 2, + FieldProduct = 3, + FieldInvProduct = 4, + FieldRs1Ra = 5, + FieldRs2Ra = 6, + FieldRdWa = 7, + FieldRegistersVal = 8, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldInlinePolynomialId { + Committed(value0: FieldInlineCommittedPolynomial) = 0, + Virtual(value0: FieldInlineVirtualPolynomial) = 1, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldInlineOpeningId { + Polynomial { polynomial: FieldInlinePolynomialId, relation: FieldInlineRelationId } = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldRegistersIncClaimReductionPublic { + EqReadWrite = 0, + EqValEvaluation = 1, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::field_inline; FieldInlineDerivedId { + FieldRegistersClaimReduction(value0: FieldRegistersClaimReductionPublic) = 0, + FieldRegistersReadWrite(value0: FieldRegistersReadWritePublic) = 1, + FieldRegistersValEvaluation(value0: FieldRegistersValEvaluationPublic) = 2, + FieldRegistersIncClaimReduction(value0: FieldRegistersIncClaimReductionPublic) = 3, +} } diff --git a/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/increments.rs b/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/increments.rs index f1b0c9fcc1..1d2726f973 100644 --- a/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/increments.rs +++ b/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/increments.rs @@ -97,3 +97,8 @@ mod tests { assert_eq!(inputs.canonical_order(), claim_reduction_input_openings()); } } + +macro_rules! immutable_twist_recipe { + (ClaimReduction) => { crate::immutable_symbolic_recipe!(26, FIELD, Field; shape); }; +} +pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/registers.rs b/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/registers.rs index 3e82c2ddcd..00c030e272 100644 --- a/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/registers.rs +++ b/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/registers.rs @@ -112,3 +112,8 @@ mod tests { assert_eq!(inputs.canonical_order(), claim_reduction_input_openings()); } } + +macro_rules! immutable_twist_recipe { + (ClaimReduction) => { crate::immutable_symbolic_recipe!(5, FIELD, Field; shape); }; +} +pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/protocols/field_inline/relations/registers.rs b/crates/jolt-claims/src/protocols/field_inline/relations/registers.rs index 9e90d166f3..525d5902af 100644 --- a/crates/jolt-claims/src/protocols/field_inline/relations/registers.rs +++ b/crates/jolt-claims/src/protocols/field_inline/relations/registers.rs @@ -183,3 +183,9 @@ mod tests { assert_eq!(inputs.canonical_order(), val_evaluation_input_openings()); } } + +macro_rules! immutable_twist_recipe { + (ReadWriteChecking) => { crate::immutable_symbolic_recipe!(12, FIELD, Field; shape); }; + (ValEvaluation) => { crate::immutable_symbolic_recipe!(17, FIELD, Field; shape); }; +} +pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/booleanity.rs b/crates/jolt-claims/src/protocols/jolt/geometry/booleanity.rs index ecba98a209..6f422b2fb9 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/booleanity.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/booleanity.rs @@ -68,3 +68,10 @@ pub fn booleanity_address_phase_opening() -> JoltOpeningId { JoltRelationId::Booleanity, ) } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(BooleanityDimensions { + layout, + log_t, + log_k_chunk +}); diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/bytecode.rs b/crates/jolt-claims/src/protocols/jolt/geometry/bytecode.rs index 428573adbb..26b8ea12c7 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/bytecode.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/bytecode.rs @@ -1128,3 +1128,10 @@ mod tests { ); } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(BytecodeReadRafDimensions { + log_t, + log_k, + committed_ra_polys +}); diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/claim_reductions/precommitted.rs b/crates/jolt-claims/src/protocols/jolt/geometry/claim_reductions/precommitted.rs index 8e4f4e267f..20bc0c01ec 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/claim_reductions/precommitted.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/claim_reductions/precommitted.rs @@ -620,3 +620,10 @@ mod tests { ); } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(PrecommittedReductionDimensions { + cycle_phase_total_rounds, + address_phase_total_rounds, + has_address_phase +}); diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/dimensions.rs b/crates/jolt-claims/src/protocols/jolt/geometry/dimensions.rs index e9f9c14617..8663d036eb 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/dimensions.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/dimensions.rs @@ -879,3 +879,14 @@ mod tests { ); } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(TraceDimensions { log_t }); + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(ReadWriteDimensions { + log_t, + log_k, + phase1_num_rounds, + phase2_num_rounds +}); diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/instruction.rs b/crates/jolt-claims/src/protocols/jolt/geometry/instruction.rs index 30589d7ea0..d44b04edd3 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/instruction.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/instruction.rs @@ -554,3 +554,18 @@ mod tests { assert!(InstructionRaVirtualizationDimensions::try_from((5, 1, usize::MAX - 1)).is_ok()); } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(InstructionReadRafDimensions { + log_t, + instruction_address_bits, + num_virtual_ra_polys +}); + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(InstructionRaVirtualizationDimensions { + log_t, + virtual_ra_polys, + committed_per_virtual, + committed_ra_polys +}); diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/ra.rs b/crates/jolt-claims/src/protocols/jolt/geometry/ra.rs index 9cb09ed3f4..d1b49c6d9c 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/ra.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/ra.rs @@ -159,3 +159,10 @@ mod tests { Ok(()) } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(JoltRaPolynomialLayout { + instruction, + bytecode, + ram +}); diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/ram.rs b/crates/jolt-claims/src/protocols/jolt/geometry/ram.rs index 978fcc4268..4085e3e413 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/ram.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/ram.rs @@ -274,3 +274,12 @@ mod tests { assert_eq!(large_dimensions.phase3_cycle_rounds(), usize::MAX); } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(RamRafEvaluationDimensions => (inner)); + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(RamRaVirtualizationDimensions { + log_t, + committed_ra_polys +}); diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/spartan.rs b/crates/jolt-claims/src/protocols/jolt/geometry/spartan.rs index d2f69e93ab..f703d0bcd2 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/spartan.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/spartan.rs @@ -287,3 +287,13 @@ mod tests { assert_eq!(SpartanOuterDimensions::new(8, Vec::new(), false), None); } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(SpartanOuterDimensions { + log_t, + variables, + include_affine_terms +}); + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(SpartanProductDimensions { log_t }); diff --git a/crates/jolt-claims/src/protocols/jolt/ids.rs b/crates/jolt-claims/src/protocols/jolt/ids.rs index 11c06c4d47..079ce68671 100644 --- a/crates/jolt-claims/src/protocols/jolt/ids.rs +++ b/crates/jolt-claims/src/protocols/jolt/ids.rs @@ -564,3 +564,365 @@ mod tests { ); } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; JoltRelationId { + SpartanOuter = 0, + SpartanProductVirtualization = 1, + SpartanShift = 2, + InstructionClaimReduction = 3, + InstructionInputVirtualization = 4, + InstructionReadRaf = 5, + InstructionRaVirtualization = 6, + RamReadWriteChecking = 7, + RamRafEvaluation = 8, + RamOutputCheck = 9, + RamValCheck = 10, + RamRaClaimReduction = 11, + RamHammingBooleanity = 12, + RamRaVirtualization = 13, + RegistersClaimReduction = 14, + RegistersReadWriteChecking = 15, + RegistersValEvaluation = 16, + BytecodeReadRaf = 17, + Booleanity = 18, + AdviceClaimReductionCyclePhase = 19, + AdviceClaimReduction = 20, + BytecodeClaimReductionCyclePhase = 21, + BytecodeClaimReduction = 22, + ProgramImageClaimReductionCyclePhase = 23, + ProgramImageClaimReduction = 24, + IncClaimReduction = 25, + HammingWeightClaimReduction = 26, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamReadWriteChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamReadWritePublic { + EqCycle = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamValCheckChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamValCheckPublic { + LtCyclePlusGamma = 0, + InitEval = 1, + InitSelector(value0: JoltAdviceKind) = 2, + InitSelectorProgramImage = 3, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamRaClaimReductionChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamRaVirtualizationPublic { + EqCycle = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamHammingBooleanityPublic { + EqCycle = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamRafEvaluationPublic { + UnmapAddress = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamOutputCheckPublic { + EqAddress = 0, + IoMask = 1, + ValIo = 2, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RamRaClaimReductionPublic { + EqCycleRaf = 0, + EqCycleReadWrite = 1, + EqCycleValCheck = 2, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; BooleanityChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; BooleanityPublic { + EqAddressCycle = 0, + GammaPow { exponent: usize } = 1, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; IncClaimReductionChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; IncClaimReductionPublic { + EqRamReadWrite = 0, + EqRamValCheck = 1, + EqRegistersReadWrite = 2, + EqRegistersValEvaluation = 3, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; HammingWeightClaimReductionChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; HammingWeightClaimReductionPublic { + EqBooleanity = 0, + EqBooleanityAtDigitZero = 1, + EqVirtualization(value0: usize) = 2, + EqVirtualizationAtDigitZero(value0: usize) = 3, + BalancedIncValueAtAddress = 4, + GammaPow(value0: usize) = 5, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; BytecodeReadRafChallenge { + Gamma = 0, + Stage1Gamma = 1, + Stage2Gamma = 2, + Stage3Gamma = 3, + Stage4Gamma = 4, + Stage5Gamma = 5, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; BytecodeReadRafPublic { + StageValue(value0: usize) = 0, + StageCycleEq(value0: usize) = 1, + SpartanOuterRaf = 2, + SpartanShiftRaf = 3, + Entry = 4, + ChallengePow { challenge: BytecodeReadRafChallenge, exponent: usize } = 5, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; JoltAdviceKind { + Trusted = 0, + Untrusted = 1, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; AdviceClaimReductionPublic { + FinalScale(value0: JoltAdviceKind) = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; BytecodeClaimReductionChallenge { + Eta = 0, +} } +#[cfg(feature = "immutable-recipes")] +impl crate::immutable_recipes::KeyVisit for RetiredIdentifier { + fn visit(&self, _sink: &mut dyn crate::immutable_recipes::KeySink) -> bool { + match *self {} + } +} +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; BytecodeClaimReductionPublic { + Reserved0(value0: RetiredIdentifier) = 0, + OutputWeight = 1, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; ProgramImageClaimReductionPublic { + FinalScale = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; SpartanShiftChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; SpartanShiftPublic { + EqPlusOneOuter = 0, + EqPlusOneProduct = 1, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; SpartanProductVirtualizationPublic { + UniskipLagrangeWeight(value0: usize) = 0, + LagrangeWeight(value0: usize) = 1, + TauKernel = 2, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; SpartanOuterPublic { + TauKernel = 0, + AzWeight(value0: usize) = 1, + BzWeight(value0: usize) = 2, + AzConstant = 3, + BzConstant = 4, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RegistersReadWriteChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RegistersReadWritePublic { + EqCycle = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RegistersValEvaluationPublic { + LtCycle = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RegistersClaimReductionChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; RegistersClaimReductionPublic { + EqSpartan = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; InstructionClaimReductionChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; InstructionClaimReductionPublic { + EqSpartan = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; InstructionInputChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; InstructionInputPublic { + EqProduct = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; InstructionReadRafChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; InstructionReadRafPublic { + EqTableValue(value0: usize) = 0, + EqRafConstant = 1, + EqRafFlag = 2, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; InstructionRaVirtualizationChallenge { + Gamma = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; InstructionRaVirtualizationPublic { + EqCycle = 0, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; JoltChallengeId { + RamReadWrite(value0: RamReadWriteChallenge) = 0, + RamValCheck(value0: RamValCheckChallenge) = 1, + RamRaClaimReduction(value0: RamRaClaimReductionChallenge) = 2, + Booleanity(value0: BooleanityChallenge) = 3, + IncClaimReduction(value0: IncClaimReductionChallenge) = 4, + HammingWeightClaimReduction(value0: HammingWeightClaimReductionChallenge) = 5, + BytecodeReadRaf(value0: BytecodeReadRafChallenge) = 6, + BytecodeClaimReduction(value0: BytecodeClaimReductionChallenge) = 7, + SpartanShift(value0: SpartanShiftChallenge) = 8, + RegistersReadWrite(value0: RegistersReadWriteChallenge) = 9, + RegistersClaimReduction(value0: RegistersClaimReductionChallenge) = 10, + InstructionClaimReduction(value0: InstructionClaimReductionChallenge) = 11, + InstructionInput(value0: InstructionInputChallenge) = 12, + InstructionReadRaf(value0: InstructionReadRafChallenge) = 13, + InstructionRaVirtualization(value0: InstructionRaVirtualizationChallenge) = 14, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; JoltCommittedPolynomial { + RdInc = 0, + RamInc = 1, + InstructionRa(value0: usize) = 2, + BytecodeRa(value0: usize) = 3, + Reserved4(value0: RetiredIdentifier) = 4, + RamRa(value0: usize) = 5, + TrustedAdvice = 6, + UntrustedAdvice = 7, + ProgramImageInit = 8, + BalancedIncDigit(value0: usize) = 9, + BalancedIncCarry = 10, + ProgramBytecode = 11, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; JoltVirtualPolynomial { + PC = 0, + UnexpandedPC = 1, + NextPC = 2, + NextUnexpandedPC = 3, + NextIsNoop = 4, + NextIsVirtual = 5, + NextIsFirstInSequence = 6, + LeftLookupOperand = 7, + RightLookupOperand = 8, + LeftInstructionInput = 9, + RightInstructionInput = 10, + Product = 11, + ShouldJump = 12, + ShouldBranch = 13, + Rd = 14, + Imm = 15, + Rs1Value = 16, + Rs2Value = 17, + RdWriteValue = 18, + Rs1Ra = 19, + Rs2Ra = 20, + RdWa = 21, + LookupOutput = 22, + InstructionRaf = 23, + InstructionRafFlag = 24, + InstructionRa(value0: usize) = 25, + RegistersVal = 26, + RamAddress = 27, + RamRa = 28, + RamReadValue = 29, + RamWriteValue = 30, + RamVal = 31, + RamValInit = 32, + RamValFinal = 33, + RamHammingWeight = 34, + UnivariateSkip = 35, + OpFlags(value0: CircuitFlags) = 36, + InstructionFlags(value0: InstructionFlags) = 37, + LookupTableFlag(value0: usize) = 38, + BytecodeValClaim(value0: usize) = 39, + BytecodeReadRafAddrClaim = 40, + BooleanityAddrClaim = 41, + BytecodeClaimReductionIntermediate = 42, + ProgramImageInitContributionRw = 43, + FusedInc = 44, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; JoltPolynomialId { + Committed(value0: JoltCommittedPolynomial) = 0, + Virtual(value0: JoltVirtualPolynomial) = 1, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; JoltOpeningId { + Polynomial { polynomial: JoltPolynomialId, relation: JoltRelationId } = 0, + UntrustedAdvice { relation: JoltRelationId } = 1, + TrustedAdvice { relation: JoltRelationId } = 2, +} } +#[cfg(feature = "immutable-recipes")] +crate::recipe_id! { crate::protocols::jolt; JoltDerivedId { + RamReadWrite(value0: RamReadWritePublic) = 0, + RamValCheck(value0: RamValCheckPublic) = 1, + RamRafEvaluation(value0: RamRafEvaluationPublic) = 2, + RamOutputCheck(value0: RamOutputCheckPublic) = 3, + RamRaClaimReduction(value0: RamRaClaimReductionPublic) = 4, + RamRaVirtualization(value0: RamRaVirtualizationPublic) = 5, + RamHammingBooleanity(value0: RamHammingBooleanityPublic) = 6, + Booleanity(value0: BooleanityPublic) = 7, + IncClaimReduction(value0: IncClaimReductionPublic) = 8, + HammingWeightClaimReduction(value0: HammingWeightClaimReductionPublic) = 9, + BytecodeReadRaf(value0: BytecodeReadRafPublic) = 10, + AdviceClaimReduction(value0: AdviceClaimReductionPublic) = 11, + BytecodeClaimReduction(value0: BytecodeClaimReductionPublic) = 12, + ProgramImageClaimReduction(value0: ProgramImageClaimReductionPublic) = 13, + SpartanShift(value0: SpartanShiftPublic) = 14, + SpartanProductVirtualization(value0: SpartanProductVirtualizationPublic) = 15, + SpartanOuter(value0: SpartanOuterPublic) = 16, + RegistersReadWrite(value0: RegistersReadWritePublic) = 17, + RegistersValEvaluation(value0: RegistersValEvaluationPublic) = 18, + RegistersClaimReduction(value0: RegistersClaimReductionPublic) = 19, + InstructionClaimReduction(value0: InstructionClaimReductionPublic) = 20, + InstructionInput(value0: InstructionInputPublic) = 21, + InstructionReadRaf(value0: InstructionReadRafPublic) = 22, + InstructionRaVirtualization(value0: InstructionRaVirtualizationPublic) = 23, + #[cfg(any(test, feature = "test-utils"))] + Test = 24, +} } + +#[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] +impl crate::immutable_recipes::record::RenderId for RetiredIdentifier { + fn render(&self, _writer: &mut dyn std::fmt::Write) -> std::fmt::Result { + match *self {} + } +} diff --git a/crates/jolt-claims/src/protocols/jolt/lattice/relations/booleanity.rs b/crates/jolt-claims/src/protocols/jolt/lattice/relations/booleanity.rs index 32f36b4455..d694fbb408 100644 --- a/crates/jolt-claims/src/protocols/jolt/lattice/relations/booleanity.rs +++ b/crates/jolt-claims/src/protocols/jolt/lattice/relations/booleanity.rs @@ -132,7 +132,7 @@ impl SymbolicSumcheck for LatticeBooleanityCyclePhase { type Challenges = BooleanityCyclePhaseChallenges; type Inputs = BooleanityInputClaims; type Outputs = LatticeBooleanityOutputClaims; - + crate::immutable_symbolic_recipe!(22, JOLT, Jolt; shape); fn new(shape: LatticeBooleanityDimensions) -> Self { Self { shape } } @@ -184,3 +184,6 @@ pub fn booleanity_balanced_inc_carry_opening() -> JoltOpeningId { JoltRelationId::Booleanity, ) } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(LatticeBooleanityDimensions { base, chunking }); diff --git a/crates/jolt-claims/src/protocols/jolt/lattice/relations/digit_zero.rs b/crates/jolt-claims/src/protocols/jolt/lattice/relations/digit_zero.rs index 1ef6ebe424..831b3398da 100644 --- a/crates/jolt-claims/src/protocols/jolt/lattice/relations/digit_zero.rs +++ b/crates/jolt-claims/src/protocols/jolt/lattice/relations/digit_zero.rs @@ -162,7 +162,7 @@ impl SymbolicSumcheck for LatticeDigitZeroClaimReduction { type Challenges = HammingWeightClaimReductionChallenges; type Inputs = LatticeDigitZeroClaimReductionInputClaims; type Outputs = LatticeDigitZeroClaimReductionOutputClaims; - + crate::immutable_symbolic_recipe!(27, JOLT, Jolt; shape); fn new(shape: Self::Shape) -> Self { Self { shape } } @@ -512,3 +512,10 @@ mod tests { assert_eq!(output, expected_output); } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(LatticeDigitZeroClaimReductionDimensions { + layout, + log_k_chunk, + chunking +}); diff --git a/crates/jolt-claims/src/protocols/jolt/lattice/relations/read_raf.rs b/crates/jolt-claims/src/protocols/jolt/lattice/relations/read_raf.rs index 671c8757a7..f0f2fecac0 100644 --- a/crates/jolt-claims/src/protocols/jolt/lattice/relations/read_raf.rs +++ b/crates/jolt-claims/src/protocols/jolt/lattice/relations/read_raf.rs @@ -99,7 +99,7 @@ impl SymbolicSumcheck for LatticeReadRafAddressPhase { type Challenges = BytecodeReadRafAddressPhaseChallenges; type Inputs = LatticeReadRafAddressPhaseInputClaims; type Outputs = BytecodeReadRafAddressPhaseOutputClaims; - + crate::immutable_key_delegate!(18; shape); fn new(shape: BytecodeReadRafDimensions) -> Self { Self { shape } } @@ -157,7 +157,7 @@ impl SymbolicSumcheck for LatticeReadRafCyclePhase { type Challenges = BytecodeReadRafCyclePhaseChallenges; type Inputs = BytecodeReadRafInputClaims; type Outputs = LatticeBytecodeReadRafOutputClaims; - + crate::immutable_symbolic_recipe!(20, JOLT, Jolt; shape); fn new(shape: BytecodeReadRafDimensions) -> Self { Self { shape } } @@ -199,7 +199,7 @@ impl SymbolicSumcheck for LatticeReadRafCyclePhaseCommitted { type Challenges = BytecodeReadRafCyclePhaseCommittedChallenges; type Inputs = BytecodeReadRafInputClaims; type Outputs = LatticeBytecodeReadRafOutputClaims; - + crate::immutable_symbolic_recipe!(21, JOLT, Jolt; shape); fn new(shape: BytecodeReadRafDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/booleanity/address_phase.rs b/crates/jolt-claims/src/protocols/jolt/relations/booleanity/address_phase.rs index 5769498a69..b2d1130abe 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/booleanity/address_phase.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/booleanity/address_phase.rs @@ -99,7 +99,7 @@ impl SymbolicSumcheck for BooleanityAddressPhase { type Challenges = BooleanityAddressPhaseChallenges; type Inputs = BooleanityAddressPhaseInputClaims; type Outputs = BooleanityAddressPhaseOutputClaims; - + crate::immutable_symbolic_recipe!(19, JOLT, Jolt; shape); fn new(shape: BooleanityDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/increments.rs b/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/increments.rs index bfcbc3885f..9071ec8404 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/increments.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/increments.rs @@ -86,3 +86,8 @@ twist::instantiate_increment_reduction! { ], gamma = IncClaimReductionChallenge::Gamma, } + +macro_rules! immutable_twist_recipe { + (ClaimReduction) => {}; +} +pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/instruction.rs b/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/instruction.rs index 5ee76ce2b5..30c0c084df 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/instruction.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/instruction.rs @@ -78,7 +78,7 @@ impl SymbolicSumcheck for ClaimReduction { type Challenges = InstructionClaimReductionChallenges; type Inputs = InstructionClaimReductionInputClaims; type Outputs = InstructionClaimReductionOutputClaims; - + crate::immutable_symbolic_recipe!(4, JOLT, Jolt; shape); fn new(shape: TraceDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/registers.rs b/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/registers.rs index 0a13e04ab2..1f44ef0e78 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/registers.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/registers.rs @@ -79,3 +79,8 @@ twist::instantiate_value_reduction! { gamma = RegistersClaimReductionChallenge::Gamma, eq_spartan = RegistersClaimReductionPublic::EqSpartan, } + +macro_rules! immutable_twist_recipe { + (ClaimReduction) => { crate::immutable_symbolic_recipe!(10, JOLT, Jolt; shape); }; +} +pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/protocols/jolt/relations/instruction/input_virtualization.rs b/crates/jolt-claims/src/protocols/jolt/relations/instruction/input_virtualization.rs index 7dba83d2f6..42f8b1a9d6 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/instruction/input_virtualization.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/instruction/input_virtualization.rs @@ -110,7 +110,7 @@ impl SymbolicSumcheck for InputVirtualization { type Challenges = InstructionInputChallenges; type Inputs = InstructionInputInputClaims; type Outputs = InstructionInputOutputClaims; - + crate::immutable_symbolic_recipe!(9, JOLT, Jolt; shape); fn new(shape: TraceDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/instruction/ra_virtualization.rs b/crates/jolt-claims/src/protocols/jolt/relations/instruction/ra_virtualization.rs index ea744bd005..2a53840c31 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/instruction/ra_virtualization.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/instruction/ra_virtualization.rs @@ -56,7 +56,7 @@ impl SymbolicSumcheck for RaVirtualization { type Challenges = InstructionRaVirtualizationChallenges; type Inputs = InstructionRaVirtualizationInputClaims; type Outputs = InstructionRaVirtualizationOutputClaims; - + crate::immutable_symbolic_recipe!(25, JOLT, Jolt; shape); fn new(shape: InstructionRaVirtualizationDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/instruction/read_raf.rs b/crates/jolt-claims/src/protocols/jolt/relations/instruction/read_raf.rs index 5bd68c27c4..3428dc8aa2 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/instruction/read_raf.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/instruction/read_raf.rs @@ -67,7 +67,7 @@ impl SymbolicSumcheck for ReadRaf { type Challenges = InstructionReadRafChallenges; type Inputs = InstructionReadRafInputClaims; type Outputs = InstructionReadRafOutputClaims; - + crate::immutable_symbolic_recipe!(14, JOLT, Jolt; shape); fn new(shape: InstructionReadRafDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/ram/hamming_booleanity.rs b/crates/jolt-claims/src/protocols/jolt/relations/ram/hamming_booleanity.rs index dd8c82d731..ea81c05c19 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/ram/hamming_booleanity.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/ram/hamming_booleanity.rs @@ -63,7 +63,7 @@ impl SymbolicSumcheck for HammingBooleanity { type Challenges = crate::NoChallenges; type Inputs = RamHammingBooleanityInputClaims; type Outputs = RamHammingBooleanityOutputClaims; - + crate::immutable_symbolic_recipe!(23, JOLT, Jolt; shape); fn new(shape: TraceDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/ram/output_check.rs b/crates/jolt-claims/src/protocols/jolt/relations/ram/output_check.rs index 64fabf11a6..d518753c91 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/ram/output_check.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/ram/output_check.rs @@ -94,7 +94,7 @@ impl SymbolicSumcheck for OutputCheck { type Challenges = RamOutputCheckChallenges; type Inputs = RamOutputCheckInputClaims; type Outputs = RamOutputCheckOutputClaims; - + crate::immutable_symbolic_recipe!(7, JOLT, Jolt; shape); fn new(shape: ReadWriteDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/ram/ra_claim_reduction.rs b/crates/jolt-claims/src/protocols/jolt/relations/ram/ra_claim_reduction.rs index 771eaf8559..6d7c943963 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/ram/ra_claim_reduction.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/ram/ra_claim_reduction.rs @@ -63,7 +63,7 @@ impl SymbolicSumcheck for RaClaimReduction { type Challenges = RamRaClaimReductionChallenges; type Inputs = RamRaClaimReductionInputClaims; type Outputs = RamRaClaimReductionOutputClaims; - + crate::immutable_symbolic_recipe!(15, JOLT, Jolt; shape); fn new(shape: TraceDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/ram/ra_virtualization.rs b/crates/jolt-claims/src/protocols/jolt/relations/ram/ra_virtualization.rs index 23437ba5c5..dca6169e9d 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/ram/ra_virtualization.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/ram/ra_virtualization.rs @@ -44,7 +44,7 @@ impl SymbolicSumcheck for RaVirtualization { type Challenges = crate::NoChallenges; type Inputs = RamRaVirtualizationInputClaims; type Outputs = RamRaVirtualizationOutputClaims; - + crate::immutable_symbolic_recipe!(24, JOLT, Jolt; shape); fn new(shape: RamRaVirtualizationDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/ram/raf_evaluation.rs b/crates/jolt-claims/src/protocols/jolt/relations/ram/raf_evaluation.rs index 0cfa9f886b..65835115db 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/ram/raf_evaluation.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/ram/raf_evaluation.rs @@ -49,7 +49,7 @@ impl SymbolicSumcheck for RafEvaluation { type Challenges = crate::NoChallenges; type Inputs = RamRafEvaluationInputClaims; type Outputs = RamRafEvaluationOutputClaims; - + crate::immutable_symbolic_recipe!(6, JOLT, Jolt; shape); fn new(shape: RamRafEvaluationDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/ram/read_write_checking.rs b/crates/jolt-claims/src/protocols/jolt/relations/ram/read_write_checking.rs index e889b8bb21..d4bb031eb4 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/ram/read_write_checking.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/ram/read_write_checking.rs @@ -92,7 +92,7 @@ impl SymbolicSumcheck for ReadWriteChecking { type Challenges = RamReadWriteChallenges; type Inputs = RamReadWriteInputClaims; type Outputs = RamReadWriteOutputClaims; - + crate::immutable_symbolic_recipe!(2, JOLT, Jolt; shape); fn new(shape: ReadWriteDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/ram/val_check.rs b/crates/jolt-claims/src/protocols/jolt/relations/ram/val_check.rs index 743d837ab6..2099e42cf6 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/ram/val_check.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/ram/val_check.rs @@ -112,7 +112,7 @@ impl SymbolicSumcheck for RamValCheck { type Challenges = RamValCheckChallenges; type Inputs = RamValCheckInputClaims; type Outputs = RamValCheckOutputClaims; - + crate::immutable_symbolic_recipe!(13, JOLT, Jolt; shape); fn new(shape: RamValCheckShape) -> Self { Self { shape } } @@ -147,3 +147,12 @@ impl SymbolicSumcheck for RamValCheck { * opening(ram_ra_val_check()) } } + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(RamValCheckShape { + dimensions, + contributions +}); + +#[cfg(feature = "immutable-recipes")] +crate::recipe_shape!(RamValContribution { selector, opening }); diff --git a/crates/jolt-claims/src/protocols/jolt/relations/registers/read_write_checking.rs b/crates/jolt-claims/src/protocols/jolt/relations/registers/read_write_checking.rs index 780ca3720a..5e5f45b50b 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/registers/read_write_checking.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/registers/read_write_checking.rs @@ -107,7 +107,7 @@ impl SymbolicSumcheck for ReadWriteChecking { type Challenges = RegistersReadWriteChallenges; type Inputs = RegistersReadWriteInputClaims; type Outputs = RegistersReadWriteOutputClaims; - + crate::immutable_symbolic_recipe!(11, JOLT, Jolt; shape); fn new(shape: ReadWriteDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/registers/val_evaluation.rs b/crates/jolt-claims/src/protocols/jolt/relations/registers/val_evaluation.rs index eb0435ef58..0d050acb8c 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/registers/val_evaluation.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/registers/val_evaluation.rs @@ -50,3 +50,8 @@ twist::instantiate_val_evaluation! { rd_wa = rd_wa_val_evaluation(), lt_cycle = RegistersValEvaluationPublic::LtCycle, } + +macro_rules! immutable_twist_recipe { + (ValEvaluation) => { crate::immutable_symbolic_recipe!(16, JOLT, Jolt; shape); }; +} +pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/protocols/jolt/relations/spartan/product_remainder.rs b/crates/jolt-claims/src/protocols/jolt/relations/spartan/product_remainder.rs index 4c6c7c4916..67c2ac94ca 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/spartan/product_remainder.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/spartan/product_remainder.rs @@ -90,7 +90,7 @@ impl SymbolicSumcheck for ProductRemainder { type Challenges = crate::NoChallenges; type Inputs = ProductRemainderInputClaims; type Outputs = ProductRemainderOutputClaims; - + crate::immutable_key_delegate!(3; shape); fn new(shape: SpartanProductDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/spartan/shift.rs b/crates/jolt-claims/src/protocols/jolt/relations/spartan/shift.rs index 997ef2fcfd..926e2f2ec2 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/spartan/shift.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/spartan/shift.rs @@ -129,7 +129,7 @@ impl SymbolicSumcheck for Shift { type Challenges = SpartanShiftChallenges; type Inputs = SpartanShiftInputClaims; type Outputs = SpartanShiftOutputClaims; - + crate::immutable_symbolic_recipe!(8, JOLT, Jolt; shape); fn new(shape: TraceDimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/symbolic.rs b/crates/jolt-claims/src/symbolic.rs index 7e0544a659..849b4e65b6 100644 --- a/crates/jolt-claims/src/symbolic.rs +++ b/crates/jolt-claims/src/symbolic.rs @@ -14,7 +14,7 @@ pub trait SymbolicSumcheck { type OpeningId; type DerivedId; type ChallengeId; - + crate::immutable_symbolic_defaults!(); /// The construction input that fully determines this relation's structure (its /// expressions and sumcheck spec). Field-independent for every relation. type Shape; @@ -224,3 +224,80 @@ mod tests { assert_eq!(succeeded, Ok(resolve(&expr))); } } + +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_symbolic_defaults { + () => { + #[cfg(feature = "immutable-recipes")] + fn immutable_shape_visit( + &self, + _family: u64, + _sink: &mut dyn $crate::immutable_recipes::KeySink, + ) -> bool { + false + } + #[cfg(feature = "immutable-recipes")] + fn immutable_shape_permit(&self) -> Option<$crate::immutable_recipes::BasePermit> + where + Self: Sized, + { + None + } + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe( + &self, + _phase: $crate::immutable_recipes::Phase, + ) -> Result< + Option< + $crate::immutable_recipes::Recipe< + '_, + F, + Self::OpeningId, + Self::DerivedId, + Self::ChallengeId, + >, + >, + $crate::immutable_recipes::RecipeError, + > { + Ok(None) + } + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + fn immutable_record_expression( + &self, + _phase: $crate::immutable_recipes::Phase, + _expression: &$crate::Expr, + ) { + } + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + fn immutable_record_support( + &self, + _openings: &::std::collections::BTreeSet, + ) { + } + }; +} + +#[cfg(not(feature = "immutable-recipes"))] +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_symbolic_recipe { + ($($unused:tt)*) => {}; +} + +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_key_delegate { + ($family:literal; $($field:ident),+ $(,)?) => { + #[cfg(feature = "immutable-recipes")] + fn immutable_shape_permit(&self) -> Option<$crate::immutable_recipes::BasePermit> { + Some($crate::immutable_recipes::BasePermit::new()) + } + #[cfg(feature = "immutable-recipes")] + fn immutable_shape_visit(&self, family: u64, sink: &mut dyn $crate::immutable_recipes::KeySink) -> bool { + if family != $family { return false; } + let Self { $($field),+ } = self; + true $(&& $crate::immutable_recipes::KeyVisit::visit($field, sink))+ + } + }; +} diff --git a/crates/jolt-claims/src/twist/claim_reductions.rs b/crates/jolt-claims/src/twist/claim_reductions.rs index 31023ee0a6..f9df8161c2 100644 --- a/crates/jolt-claims/src/twist/claim_reductions.rs +++ b/crates/jolt-claims/src/twist/claim_reductions.rs @@ -165,7 +165,7 @@ macro_rules! instantiate_value_reduction { type Challenges = $challenges; type Inputs = $inputs; type Outputs = $outputs; - + self::immutable_twist_recipe!($relation); fn new(shape: $dimensions) -> Self { Self { shape } } @@ -234,7 +234,7 @@ macro_rules! instantiate_increment_reduction { type Challenges = $challenges; type Inputs = $inputs; type Outputs = $outputs; - + self::immutable_twist_recipe!($relation); fn new(shape: $dimensions) -> Self { Self { shape } } diff --git a/crates/jolt-claims/src/twist/memory_checking.rs b/crates/jolt-claims/src/twist/memory_checking.rs index 29cea55c75..4a844c2705 100644 --- a/crates/jolt-claims/src/twist/memory_checking.rs +++ b/crates/jolt-claims/src/twist/memory_checking.rs @@ -159,7 +159,7 @@ macro_rules! instantiate_read_write_checking { type Challenges = $challenges; type Inputs = $inputs; type Outputs = $outputs; - + self::immutable_twist_recipe!($relation); fn new(shape: $dimensions) -> Self { Self { shape } } @@ -233,7 +233,7 @@ macro_rules! instantiate_val_evaluation { type Challenges = $challenges; type Inputs = $inputs; type Outputs = $outputs; - + self::immutable_twist_recipe!($relation); fn new(shape: $dimensions) -> Self { Self { shape } } diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index bb173ed5d3..0e97859a06 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -55,6 +55,7 @@ field-inline-horner = ["field-inline-guest"] # Byte-preserving recursion experiments, default off. word-transcript = [] word-decode = [] +immutable-recipes = [] [dev-dependencies] # The spine test's oracle field must satisfy `JoltField`, which requires diff --git a/crates/jolt-field/src/algebra.rs b/crates/jolt-field/src/algebra.rs index 2f7b1d9f49..346690bc73 100644 --- a/crates/jolt-field/src/algebra.rs +++ b/crates/jolt-field/src/algebra.rs @@ -65,7 +65,7 @@ pub trait Ring: fn from_i64(v: i64) -> Self; fn from_u128(v: u128) -> Self; fn from_i128(v: i128) -> Self; - + crate::immutable_recipe_ring_defaults!(); #[inline] fn from_bool(v: bool) -> Self { Self::from_u64(v as u64) diff --git a/crates/jolt-field/src/lib.rs b/crates/jolt-field/src/lib.rs index 30a40fd48e..3ba614a632 100644 --- a/crates/jolt-field/src/lib.rs +++ b/crates/jolt-field/src/lib.rs @@ -184,3 +184,91 @@ pub enum FieldError { #[cfg(feature = "terminal-contraction")] mod terminal_contraction; +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_recipe_ring_defaults { + () => { + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe_field() -> Option<$crate::ImmutableRecipeField> { + None + } + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe_native_field() -> Option<$crate::ImmutableRecipeNativeField> { + None + } + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe_export(&self) -> Option { + None + } + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe_import(_value: u128) -> Option { + None + } + }; +} + +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_recipe_fp128_methods { + () => { + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe_field() -> Option<$crate::ImmutableRecipeField> { + (cfg!(target_arch = "riscv64") + && cfg!(feature = "field-inline-guest-fp128") + && !cfg!(feature = "field-inline-guest-bn254") + && P == FIELD_INLINE_FP128_MODULUS) + .then($crate::ImmutableRecipeField::new) + } + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe_export(&self) -> Option { + (P == FIELD_INLINE_FP128_MODULUS).then(|| self.to_canonical_u128()) + } + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe_native_field() -> Option<$crate::ImmutableRecipeNativeField> { + (!cfg!(target_arch = "riscv64") && P == FIELD_INLINE_FP128_MODULUS) + .then($crate::ImmutableRecipeNativeField::new) + } + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe_import(value: u128) -> Option { + if P != FIELD_INLINE_FP128_MODULUS { + return None; + } + ::from_u128_checked(value) + } + }; +} + +/// Proof of the exact field implementation and active RV64 selector. Downstream +/// Ring implementations cannot construct this capability for their own Self. +#[cfg(feature = "immutable-recipes")] +#[derive(Clone, Copy)] +pub struct ImmutableRecipeField { + marker: std::marker::PhantomData F>, +} + +#[cfg(feature = "immutable-recipes")] +impl ImmutableRecipeField { + pub(crate) fn new() -> Self { + Self { + marker: std::marker::PhantomData, + } + } +} + +#[cfg(all(feature = "immutable-recipes", feature = "solinas"))] +pub const IMMUTABLE_RECIPE_MODULUS: u128 = solinas::FIELD_INLINE_FP128_MODULUS; + +/// Native canonical export eligibility, separate from guest recipe eligibility. +#[cfg(feature = "immutable-recipes")] +#[derive(Clone, Copy)] +pub struct ImmutableRecipeNativeField { + marker: std::marker::PhantomData F>, +} +#[cfg(feature = "immutable-recipes")] +impl ImmutableRecipeNativeField { + pub(crate) fn new() -> Self { + Self { + marker: std::marker::PhantomData, + } + } +} diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index b2d372afd9..ff34ad9d96 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1061,7 +1061,7 @@ impl Ring for Fp128

{ -Self::from_u128(v.unsigned_abs()) } } - + crate::immutable_recipe_fp128_methods!(); #[inline(always)] fn square(&self) -> Self { // A guest that routes this field squares in one field-inline multiply. diff --git a/crates/jolt-verifier-derive/Cargo.toml b/crates/jolt-verifier-derive/Cargo.toml index 36c42eed89..98bec09a31 100644 --- a/crates/jolt-verifier-derive/Cargo.toml +++ b/crates/jolt-verifier-derive/Cargo.toml @@ -13,6 +13,6 @@ proc-macro = true workspace = true [dependencies] -syn = { workspace = true } +syn = { workspace = true, features = ["visit-mut"] } quote = { workspace = true } proc-macro2 = { workspace = true } diff --git a/crates/jolt-verifier-derive/src/lib.rs b/crates/jolt-verifier-derive/src/lib.rs index f9f8020ecb..9f4ceaf802 100644 --- a/crates/jolt-verifier-derive/src/lib.rs +++ b/crates/jolt-verifier-derive/src/lib.rs @@ -1182,7 +1182,7 @@ fn expand(input: DeriveInput) -> syn::Result { #absorb_methods } }; - + let driver_impl = recipe_method::batch_companions(driver_impl, plans.len(), &krate)?; // Each opening cell instantiation is its own concrete aggregate: `*Claims` // holds the wire *values* (`Inputs` / `Outputs`); `*Points` holds the // derived opening points (`Inputs>` / `Outputs>`). Only the @@ -1427,3 +1427,78 @@ fn option_inner(ty: &Type) -> Option<&Type> { _ => None, }) } + +mod recipe_method; + +/// Derive only declared recipe seams from the canonical method body. The +/// original method tokens are emitted unchanged; every match count is checked. +#[proc_macro_attribute] +pub fn recipe_method(arguments: TokenStream, item: TokenStream) -> TokenStream { + recipe_method::expand(arguments.into(), item.into()) + .unwrap_or_else(syn::Error::into_compile_error) + .into() +} + +fn fixed_recipe_method( + arguments: TokenStream, + item: TokenStream, + profile: TokenStream2, +) -> TokenStream { + if !arguments.is_empty() { + return syn::Error::new_spanned( + TokenStream2::from(arguments), + "fixed recipe attribute accepts no arguments", + ) + .into_compile_error() + .into(); + } + recipe_method::expand(profile, item.into()) + .unwrap_or_else(syn::Error::into_compile_error) + .into() +} + +/// Fixed canonical seam profile: `input = 1`. +#[proc_macro_attribute] +pub fn ir_input(arguments: TokenStream, item: TokenStream) -> TokenStream { + fixed_recipe_method(arguments, item, quote!(input = 1)) +} + +/// Fixed canonical seam profile: `output = 1`. +#[proc_macro_attribute] +pub fn ir_output(arguments: TokenStream, item: TokenStream) -> TokenStream { + fixed_recipe_method(arguments, item, quote!(output = 1)) +} + +/// Fixed canonical seam profile: `support = 1, returns_set = 1`. +#[proc_macro_attribute] +pub fn ir_support(arguments: TokenStream, item: TokenStream) -> TokenStream { + fixed_recipe_method(arguments, item, quote!(support = 1, returns_set = 1)) +} + +/// Fixed canonical seam profile: `call_evaluate_output_expression = 1`. +#[proc_macro_attribute] +pub fn ir_output_call(arguments: TokenStream, item: TokenStream) -> TokenStream { + fixed_recipe_method(arguments, item, quote!(call_evaluate_output_expression = 1)) +} + +/// Fixed canonical seam profile: `call_wire_output_openings = 1`. +#[proc_macro_attribute] +pub fn ir_wire_call(arguments: TokenStream, item: TokenStream) -> TokenStream { + fixed_recipe_method(arguments, item, quote!(call_wire_output_openings = 1)) +} + +/// Fixed canonical seam profile: `output = 1, call_expected_output_from_publics = 1`. +#[proc_macro_attribute] +pub fn ir_public_output(arguments: TokenStream, item: TokenStream) -> TokenStream { + fixed_recipe_method( + arguments, + item, + quote!(output = 1, call_expected_output_from_publics = 1), + ) +} + +/// Fixed canonical seam profile: `call_expected_output = 2`. +#[proc_macro_attribute] +pub fn ir_expected_pair(arguments: TokenStream, item: TokenStream) -> TokenStream { + fixed_recipe_method(arguments, item, quote!(call_expected_output = 2)) +} diff --git a/crates/jolt-verifier-derive/src/recipe_method.rs b/crates/jolt-verifier-derive/src/recipe_method.rs new file mode 100644 index 0000000000..3e9d62428e --- /dev/null +++ b/crates/jolt-verifier-derive/src/recipe_method.rs @@ -0,0 +1,316 @@ +use proc_macro2::{Span, TokenStream}; +use quote::{format_ident, quote}; +use std::collections::BTreeMap; +use syn::parse::Parser; +use syn::punctuated::Punctuated; +use syn::visit_mut::{self, VisitMut}; +use syn::{parse_quote, Expr, ExprLit, FnArg, ImplItemFn, Lit, MetaNameValue, ReturnType, Token}; + +pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> syn::Result { + let mut expected = BTreeMap::new(); + let mut returns_set = false; + for option in Punctuated::::parse_terminated.parse2(arguments)? { + let name = option + .path + .get_ident() + .ok_or_else(|| syn::Error::new_spanned(&option, "expected seam name"))? + .to_string(); + let Expr::Lit(ExprLit { + lit: Lit::Int(value), + .. + }) = &option.value + else { + return Err(syn::Error::new_spanned( + &option, + "seam count must be a literal", + )); + }; + let count = value.base10_parse::()?; + if name == "returns_set" { + if count != 1 || returns_set { + return Err(syn::Error::new_spanned( + &option, + "invalid set result option", + )); + } + returns_set = true; + } else if !matches!( + name.as_str(), + "input" + | "output" + | "support" + | "call_input_claim" + | "call_expected_output" + | "call_evaluate_output_expression" + | "call_expected_output_from_publics" + | "call_wire_output_openings" + | "call_begin_batch" + | "call_expected_final_claim" + | "call_validate_member_output_shape" + ) { + return Err(syn::Error::new_spanned(&option, "unknown recipe seam")); + } else if count == 0 || expected.insert(name, count).is_some() { + return Err(syn::Error::new_spanned( + &option, + "duplicate or zero seam count", + )); + } + } + let mut selected: ImplItemFn = syn::parse2(original.clone())?; + let mut transform = Transform { + counts: BTreeMap::new(), + declared: expected.clone(), + errors: None, + }; + transform.visit_block_mut(&mut selected.block); + if let Some(error) = transform.errors { + return Err(error); + } + if transform.counts != expected { + return Err(syn::Error::new( + Span::call_site(), + format!( + "recipe seam inventory mismatch: expected {expected:?}, observed {:?}", + transform.counts + ), + )); + } + selected.sig.ident = format_ident!("{}_with_recipes", selected.sig.ident); + let offset = usize::from(matches!( + selected.sig.inputs.first(), + Some(FnArg::Receiver(_)) + )); + selected.sig.inputs.insert( + offset, + parse_quote!(__recipe_context: &crate::immutable_recipes::RecipeContext<'_>), + ); + if returns_set { + let ReturnType::Type(_, ty) = &selected.sig.output else { + return Err(syn::Error::new_spanned( + &selected.sig, + "set method has no return type", + )); + }; + selected.sig.output = parse_quote!(-> Result<#ty, crate::VerifierError>); + let body = selected.block; + selected.block = parse_quote!({ let __recipe_set = #body; Ok(__recipe_set) }); + } + Ok(quote!(#original #selected)) +} + +struct Transform { + counts: BTreeMap, + declared: BTreeMap, + errors: Option, +} + +impl Transform { + fn count(&mut self, name: &str) { + *self.counts.entry(name.to_owned()).or_default() += 1; + } + fn reject(&mut self, expression: &Expr, reason: &str) { + let error = syn::Error::new_spanned(expression, reason); + if let Some(previous) = &mut self.errors { + previous.combine(error); + } else { + self.errors = Some(error); + } + } +} + +impl VisitMut for Transform { + fn visit_expr_mut(&mut self, expression: &mut Expr) { + if let Expr::MethodCall(call) = expression { + if call.method == "try_evaluate" { + if let Expr::MethodCall(construction) = call.receiver.as_ref() { + let phase = match construction.method.to_string().as_str() { + "input_expression" => Some(("input", quote!(Input))), + "output_expression" => Some(("output", quote!(Output))), + _ => None, + }; + if let Some((name, phase)) = phase { + if !construction.args.is_empty() || call.args.len() != 3 { + self.reject(expression, "unexpected expression evaluation arguments"); + return; + } + let Some(types) = &construction.turbofish else { + self.reject( + expression, + "recipe evaluation requires explicit field type", + ); + return; + }; + if types.args.len() != 1 { + self.reject(expression, "recipe evaluation requires one field type"); + return; + } + let field = types.args.first(); + let relation = &construction.receiver; + let method = &construction.method; + let arguments = call.args.iter(); + *expression = parse_quote!({ + use crate::immutable_recipes::RecipeEvaluation as _; + let __recipe_symbolic = &(#relation); + __recipe_symbolic.evaluate_recipe::<#field>( + ::jolt_claims::immutable_recipes::Phase::#phase, + __recipe_context, || __recipe_symbolic.#method #types (), #(#arguments),*, + ) + }); + self.count(name); + return; + } + } + } + if call.method == "expected_output_openings" { + let Some(types) = &call.turbofish else { + self.reject(expression, "recipe support requires explicit field type"); + return; + }; + if types.args.len() != 1 || !call.args.is_empty() { + self.reject(expression, "unexpected support arguments"); + return; + } + let field = types.args.first(); + let receiver = &call.receiver; + *expression = parse_quote!({ + use crate::immutable_recipes::RecipeEvaluation as _; + (#receiver).recipe_support::<#field>(__recipe_context)? + }); + self.count("support"); + return; + } + let name = format!("call_{}", call.method); + if self.declared.contains_key(&name) { + call.method = format_ident!("{}_with_recipes", call.method); + call.args.insert(0, parse_quote!(__recipe_context)); + self.count(&name); + visit_mut::visit_expr_method_call_mut(self, call); + if name == "call_wire_output_openings" { + let renamed = expression.clone(); + *expression = parse_quote!((#renamed)?); + } + return; + } + if matches!( + call.method.to_string().as_str(), + "input_expression" | "output_expression" + ) { + self.reject( + expression, + "unhandled canonical construction in selected method", + ); + return; + } + } + if let Expr::Call(call) = expression { + if let Expr::Path(path) = call.func.as_mut() { + if let Some(segment) = path.path.segments.last_mut() { + let name = format!("call_{}", segment.ident); + if self.declared.contains_key(&name) { + segment.ident = format_ident!("{}_with_recipes", segment.ident); + call.args.insert(0, parse_quote!(__recipe_context)); + self.count(&name); + } + } + } + } + visit_mut::visit_expr_mut(self, expression); + } +} + +/// The permitted transformations follow the already declared batch members. +pub(crate) fn batch_companions( + driver: TokenStream, + members: usize, + krate: &syn::Path, +) -> syn::Result { + // Only the verifier's internal derives own this feature and context API. + // External/default consumers retain their original expansion verbatim. + if !krate.is_ident("crate") { + return Ok(driver); + } + let item: syn::ItemImpl = syn::parse2(driver.clone())?; + let mut companions = Vec::new(); + for method in &item.items { + let syn::ImplItem::Fn(method) = method else { + continue; + }; + let arguments = match method.sig.ident.to_string().as_str() { + "begin_batch" => quote!(call_input_claim = #members), + "verify_clear" => quote!(call_begin_batch = 1, call_expected_final_claim = 1), + "expected_final_claim" => quote!(call_expected_output = #members), + "validate_output_claims" => quote!(call_validate_member_output_shape = #members), + _ => continue, + }; + let pair = expand(arguments, quote!(#method))?; + let parsed: syn::ItemImpl = syn::parse2(quote!(impl Example { #pair }))?; + let Some(syn::ImplItem::Fn(mut selected)) = parsed.items.last().cloned() else { + return Err(syn::Error::new_spanned( + method, + "missing selected batch companion", + )); + }; + // This crate path is derived from SumcheckBatch's existing crate option. + let offset = usize::from(matches!( + selected.sig.inputs.first(), + Some(FnArg::Receiver(_)) + )); + let Some(argument) = selected.sig.inputs.iter_mut().nth(offset) else { + return Err(syn::Error::new_spanned( + method, + "missing recipe context argument", + )); + }; + *argument = parse_quote!(__recipe_context: &#krate::immutable_recipes::RecipeContext<'_>); + selected + .attrs + .push(parse_quote!(#[cfg(feature = "immutable-recipes")])); + companions.push(selected); + } + let mut selected_impl = item; + selected_impl.items = companions.into_iter().map(syn::ImplItem::Fn).collect(); + selected_impl + .attrs + .push(parse_quote!(#[cfg(feature = "immutable-recipes")])); + Ok(quote!(#driver #selected_impl)) +} + +#[cfg(test)] +#[expect(clippy::expect_used, reason = "literal syntax fixtures must parse")] +mod tests { + use super::expand; + use quote::quote; + + #[test] + fn trailing_callback_comma_produces_two_parseable_methods() { + let original = quote! { + fn expected_output(&self) -> Result { + self.symbolic().output_expression::().try_evaluate( + |id| opening(id), |id| challenge(id), |id| derived(id), + ) + } + }; + let expanded = expand(quote!(output = 1), original).expect("literal parser fixture"); + let implementation: syn::ItemImpl = + syn::parse2(quote!(impl Fixture { #expanded })).expect("generated methods parse"); + assert_eq!(implementation.items.len(), 2); + let Some(syn::ImplItem::Fn(selected)) = implementation.items.last() else { + panic!("selected method missing"); + }; + assert_eq!(selected.sig.ident, "expected_output_with_recipes"); + assert_eq!(selected.sig.inputs.len(), 2); + } + + #[test] + fn undeclared_or_duplicate_seams_reject_generation() { + let original = quote! { + fn input_claim(&self) -> Result { + self.symbolic().input_expression::().try_evaluate(a, b, c) + } + }; + assert!(expand(quote!(), original.clone()).is_err()); + assert!(expand(quote!(input = 2), original.clone()).is_err()); + assert!(expand(quote!(input = 1, input = 1), original.clone()).is_err()); + assert!(expand(quote!(unknown = 1), original).is_err()); + } +} diff --git a/crates/jolt-verifier/Cargo.toml b/crates/jolt-verifier/Cargo.toml index 70abcd5407..4579ccbf1e 100644 --- a/crates/jolt-verifier/Cargo.toml +++ b/crates/jolt-verifier/Cargo.toml @@ -20,6 +20,8 @@ default = ["transcript-blake2b"] allocative = ["dep:allocative", "jolt-claims/allocative"] prover-fixtures = [] fs-audit = [] +immutable-recipes = ["jolt-claims/immutable-recipes"] +immutable-recipes-record = ["immutable-recipes", "jolt-claims/immutable-recipes-record"] fuzzing = [] field-inline = [ "common/field-inline", diff --git a/crates/jolt-verifier/src/immutable_recipes.rs b/crates/jolt-verifier/src/immutable_recipes.rs new file mode 100644 index 0000000000..1e9d917b21 --- /dev/null +++ b/crates/jolt-verifier/src/immutable_recipes.rs @@ -0,0 +1,124 @@ +use jolt_claims::immutable_recipes::{evaluate_canonical, EvaluationError, Phase, RecipeError}; +use jolt_claims::{Expr, SymbolicSumcheck}; +use jolt_field::Ring; +use std::collections::BTreeSet; + +use crate::verifier::CheckedInputs; +use crate::VerifierError; + +/// Borrowed from the input validation of this verification, never from a table +/// key. A Committed schedule always contains both program reductions; the +/// canonical PrecommittedSchedule constructor sets neither for Full mode. +pub struct RecipeContext<'a> { + checked: &'a CheckedInputs, +} + +impl<'a> RecipeContext<'a> { + pub(crate) fn from_checked(checked: &'a CheckedInputs) -> Self { + Self { checked } + } + + pub fn permits_full(&self) -> bool { + cfg!(feature = "akita") + && cfg!(feature = "field-inline") + && !self.checked.zk + && self.checked.precommitted.bytecode.is_none() + && self.checked.precommitted.program_image.is_none() + } +} + +fn invalid_recipe(error: RecipeError) -> VerifierError { + VerifierError::StageClaimSumcheckFailed { + stage: "immutable recipe".to_owned(), + reason: error.to_string(), + } +} + +pub fn evaluate( + symbolic: &S, + phase: Phase, + context: &RecipeContext<'_>, + canonical: impl FnOnce() -> Expr, + opening: impl FnMut(&S::OpeningId) -> Result, + challenge: impl FnMut(&S::ChallengeId) -> Result, + derived: impl FnMut(&S::DerivedId) -> Result, +) -> Result { + if context.permits_full() && F::immutable_recipe_field().is_some() { + if let Some(recipe) = symbolic + .immutable_recipe::(phase) + .map_err(invalid_recipe)? + { + return recipe + .try_evaluate(opening, challenge, derived) + .map_err(|error| match error { + EvaluationError::Recipe(error) => invalid_recipe(error), + EvaluationError::Resolver(error) => error, + }); + } + } + let expression = canonical(); + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + if context.permits_full() { + symbolic.immutable_record_expression(phase, &expression); + } + if context.permits_full() { + if let Some(field) = F::immutable_recipe_field() { + return evaluate_canonical(&expression, field, opening, challenge, derived).map_err( + |error| match error { + EvaluationError::Recipe(error) => invalid_recipe(error), + EvaluationError::Resolver(error) => error, + }, + ); + } + } + expression.try_evaluate(opening, challenge, derived) +} + +pub fn support( + symbolic: &S, + context: &RecipeContext<'_>, +) -> Result, VerifierError> +where + S::OpeningId: Ord + Clone, +{ + if context.permits_full() && F::immutable_recipe_field().is_some() { + if let Some(recipe) = symbolic + .immutable_recipe::(Phase::Support) + .map_err(invalid_recipe)? + { + return Ok(recipe.openings()); + } + } + let openings = symbolic.expected_output_openings::(); + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + if context.permits_full() { + symbolic.immutable_record_support::(&openings); + } + Ok(openings) +} + +/// Method syntax supplies the same automatic borrow as canonical expression +/// calls, including a symbolic relation returned by reference. +pub trait RecipeEvaluation: SymbolicSumcheck + Sized { + fn evaluate_recipe( + &self, + phase: Phase, + context: &RecipeContext<'_>, + canonical: impl FnOnce() -> Expr, + opening: impl FnMut(&Self::OpeningId) -> Result, + challenge: impl FnMut(&Self::ChallengeId) -> Result, + derived: impl FnMut(&Self::DerivedId) -> Result, + ) -> Result { + evaluate(self, phase, context, canonical, opening, challenge, derived) + } + fn recipe_support( + &self, + context: &RecipeContext<'_>, + ) -> Result, VerifierError> + where + Self::OpeningId: Ord + Clone, + { + support::(self, context) + } +} +impl RecipeEvaluation for S {} diff --git a/crates/jolt-verifier/src/lib.rs b/crates/jolt-verifier/src/lib.rs index bab9c09e15..197622a3ee 100644 --- a/crates/jolt-verifier/src/lib.rs +++ b/crates/jolt-verifier/src/lib.rs @@ -73,3 +73,34 @@ pub use verifier::{ validate_inputs_from_parts, verify, verify_until_stage1, CheckedInputs, PreStage1VerifierState, ProofTranscriptConfig, }; + +#[cfg(feature = "immutable-recipes")] +pub mod immutable_recipes; + +#[doc(hidden)] +#[macro_export] +macro_rules! recipe_verify_clear { + ($checked:expr; $receiver:ident ($($argument:expr),* $(,)?)) => {{ + #[cfg(not(feature = "immutable-recipes"))] + { $receiver.verify_clear($($argument),*) } + #[cfg(feature = "immutable-recipes")] + { + let context = $crate::immutable_recipes::RecipeContext::from_checked($checked); + $receiver.verify_clear_with_recipes(&context, $($argument),*) + } + }}; +} + +#[doc(hidden)] +#[macro_export] +macro_rules! recipe_validate_output_claims { + ($checked:expr; $receiver:ident ($($argument:expr),* $(,)?)) => {{ + #[cfg(not(feature = "immutable-recipes"))] + { $receiver.validate_output_claims($($argument),*) } + #[cfg(feature = "immutable-recipes")] + { + let context = $crate::immutable_recipes::RecipeContext::from_checked($checked); + $receiver.validate_output_claims_with_recipes(&context, $($argument),*) + } + }}; +} diff --git a/crates/jolt-verifier/src/stages/relations.rs b/crates/jolt-verifier/src/stages/relations.rs index 63fe2b6748..4cddc6df5c 100644 --- a/crates/jolt-verifier/src/stages/relations.rs +++ b/crates/jolt-verifier/src/stages/relations.rs @@ -191,7 +191,7 @@ where { Vec::new() } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_support)] /// The opening ids this instance absorbs into the transcript (and commits in /// ZK): the output-`Expr`-referenced set minus the aliased openings (absorbed /// once via their canonical source). The generated `output_claim_count` sums @@ -288,7 +288,7 @@ where ) -> Result { Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_input)] /// The input claim (claimed sum), evaluated from the input `Expr` against the /// wired input opening values and the drawn `challenges`. Shared by prover and /// verifier; clear only. The challenge leg resolves through the drawn @@ -314,7 +314,7 @@ where |id| self.derive_input_term(id, challenges), ) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_output_call)] /// The expected output claim, evaluated from the produced opening *values*, the /// produced opening *points* (for output deriveds), the input points, the drawn /// `challenges`, and the relation's derived public values. Shared by prover and @@ -330,7 +330,7 @@ where self.derive_output_term(id, input_points, output_points, challenges) }) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_output)] /// Evaluate the canonical output expression with a per-call derived-value /// resolver. Relations can share public computations across terms without /// restating the expression or changing opening and challenge resolution. @@ -474,7 +474,7 @@ where } Ok(()) } - +#[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_wire_call)] /// Assert one member's wire claims match its expected output shape: the /// provided `canonical_order` id-set, minus the member's aliased openings /// (absorbed via their canonical source; their value equality is enforced diff --git a/crates/jolt-verifier/src/stages/stage1/outer_remainder.rs b/crates/jolt-verifier/src/stages/stage1/outer_remainder.rs index 4ddb745a2e..be6af9d0c7 100644 --- a/crates/jolt-verifier/src/stages/stage1/outer_remainder.rs +++ b/crates/jolt-verifier/src/stages/stage1/outer_remainder.rs @@ -309,7 +309,7 @@ impl ConcreteSumcheck for OuterRemainder { }; Ok(output) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::recipe_method())] fn expected_output( &self, _input_points: &SelectedInputs>, diff --git a/crates/jolt-verifier/src/stages/stage1/verify.rs b/crates/jolt-verifier/src/stages/stage1/verify.rs index 1f79982875..02efa44876 100644 --- a/crates/jolt-verifier/src/stages/stage1/verify.rs +++ b/crates/jolt-verifier/src/stages/stage1/verify.rs @@ -62,7 +62,7 @@ where let batch_challenges = sumchecks.draw_challenges(transcript)?; let input_points = sumchecks.empty_input_points(); - sumchecks.validate_output_claims(&claims.outer)?; + crate::recipe_validate_output_claims!(checked; sumchecks(&claims.outer))?; // The remainder consumes the uni-skip's reduced opening as its input claim // (the relation's `input_claim` is the bare consumed opening). @@ -70,7 +70,7 @@ where outer_remainder: outer_remainder_input_values_from_uniskip_output(uniskip_output_claim), }; - let output_points = sumchecks.verify_clear( + let output_points = crate::recipe_verify_clear!(checked; sumchecks( &input_values, &input_points, &batch_challenges, @@ -78,7 +78,7 @@ where sumcheck_proof, transcript, 1, - )?; + ))?; // Append the 35 produced openings in canonical (declaration) order, matching // the prover's commitment order. diff --git a/crates/jolt-verifier/src/stages/stage2/product_remainder.rs b/crates/jolt-verifier/src/stages/stage2/product_remainder.rs index 415fafdeaf..8ec5a447c9 100644 --- a/crates/jolt-verifier/src/stages/stage2/product_remainder.rs +++ b/crates/jolt-verifier/src/stages/stage2/product_remainder.rs @@ -107,7 +107,7 @@ impl ConcreteSumcheck for ProductRemainder { fn symbolic(&self) -> &Self::Symbolic { &self.symbolic } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_support)] #[cfg_attr( not(feature = "field-inline"), expect( diff --git a/crates/jolt-verifier/src/stages/stage2/verify.rs b/crates/jolt-verifier/src/stages/stage2/verify.rs index 18b42a5b78..e54440537d 100644 --- a/crates/jolt-verifier/src/stages/stage2/verify.rs +++ b/crates/jolt-verifier/src/stages/stage2/verify.rs @@ -212,12 +212,12 @@ where }; let stage1 = stage1.clear()?; let claims = &proof.clear_claims()?.stage2; - sumchecks.validate_output_claims(&claims.batch_outputs)?; + crate::recipe_validate_output_claims!(checked; sumchecks(&claims.batch_outputs))?; let input_values = stage2_batch_input_values_from_upstream(stage1, claims.product_uniskip_output_claim); - let output_points = sumchecks.verify_clear( + let output_points = crate::recipe_verify_clear!(checked; sumchecks( &input_values, &input_points, &challenges, @@ -225,7 +225,7 @@ where &proof.stages.stage2_sumcheck_proof, transcript, 2, - )?; + ))?; sumchecks.append_output_claims(transcript, &claims.batch_outputs); diff --git a/crates/jolt-verifier/src/stages/stage3/verify.rs b/crates/jolt-verifier/src/stages/stage3/verify.rs index 5face84f29..447858647f 100644 --- a/crates/jolt-verifier/src/stages/stage3/verify.rs +++ b/crates/jolt-verifier/src/stages/stage3/verify.rs @@ -81,13 +81,13 @@ where let claims = &proof.clear_claims()?.stage3; let stage1 = stage1.clear()?; let stage2 = stage2.clear()?; - sumchecks.validate_output_claims(claims)?; + crate::recipe_validate_output_claims!(checked; sumchecks(claims))?; let input_values = stage3_input_values_from_upstream(&stage1.output_values, &stage2.output_values); let input_points = sumchecks.empty_input_points(); - let output_points = sumchecks.verify_clear( + let output_points = crate::recipe_verify_clear!(checked; sumchecks( &input_values, &input_points, &challenges, @@ -95,7 +95,7 @@ where &proof.stages.stage3_sumcheck_proof, transcript, 3, - )?; + ))?; sumchecks.append_output_claims(transcript, claims); diff --git a/crates/jolt-verifier/src/stages/stage4/ram_val_check.rs b/crates/jolt-verifier/src/stages/stage4/ram_val_check.rs index 82057138f7..1bf717fe40 100644 --- a/crates/jolt-verifier/src/stages/stage4/ram_val_check.rs +++ b/crates/jolt-verifier/src/stages/stage4/ram_val_check.rs @@ -167,7 +167,7 @@ impl ConcreteSumcheck for RamValCheck { fn symbolic(&self) -> &Self::Symbolic { &self.symbolic } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_support)] fn wire_output_openings(&self) -> std::collections::BTreeSet { // Wire openings beyond the output-`Expr` set (`ram_ra`/`ram_inc`): the // present staged `Val_init` contribution openings (advice / diff --git a/crates/jolt-verifier/src/stages/stage4/verify.rs b/crates/jolt-verifier/src/stages/stage4/verify.rs index 4bd807cc88..1b1e2a5518 100644 --- a/crates/jolt-verifier/src/stages/stage4/verify.rs +++ b/crates/jolt-verifier/src/stages/stage4/verify.rs @@ -171,7 +171,7 @@ where let claims = &proof.clear_claims()?.stage4; let stage2 = stage2.clear()?; let stage3 = stage3.clear()?; - sumchecks.validate_output_claims(claims)?; + crate::recipe_validate_output_claims!(checked; sumchecks(claims))?; // Attaches the claimed advice / program-image opening values (consumed by the // input wiring and carried downstream for the stage-6/7 address-phase // reductions); presence against the init structure is validated by the @@ -189,7 +189,7 @@ where &init_structure, ); - let output_points = sumchecks.verify_clear( + let output_points = crate::recipe_verify_clear!(checked; sumchecks( &input_values, &input_points, &challenges, @@ -197,7 +197,7 @@ where &proof.stages.stage4_sumcheck_proof, transcript, 4, - )?; + ))?; claims.append_to_transcript(transcript); diff --git a/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs b/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs index 5365fae8e4..f80e7ba8b9 100644 --- a/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs +++ b/crates/jolt-verifier/src/stages/stage5/instruction_read_raf.rs @@ -240,7 +240,7 @@ impl ConcreteSumcheck for InstructionReadRaf { let prepared = self.prepare_output(input_points, output_points)?; self.evaluate_public(public, &prepared, challenges) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_output_call)] fn expected_output( &self, input_points: &InstructionReadRafInputClaims>, diff --git a/crates/jolt-verifier/src/stages/stage5/verify.rs b/crates/jolt-verifier/src/stages/stage5/verify.rs index 4317f1d7a6..4991f890d6 100644 --- a/crates/jolt-verifier/src/stages/stage5/verify.rs +++ b/crates/jolt-verifier/src/stages/stage5/verify.rs @@ -115,7 +115,7 @@ where let claims = &proof.clear_claims()?.stage5; let stage2 = stage2.clear()?; let stage4 = stage4.clear()?; - sumchecks.validate_output_claims(claims)?; + crate::recipe_validate_output_claims!(checked; sumchecks(claims))?; // The reduced lookup output aliases the product remainder's lookup output // (same opening point and value); stage 2's generated `validate_aliases` @@ -126,7 +126,7 @@ where let input_points = stage5_input_points_from_upstream(&stage2.output_points, &stage4.output_points); - let output_points = sumchecks.verify_clear( + let output_points = crate::recipe_verify_clear!(checked; sumchecks( &input_values, &input_points, &challenges, @@ -134,7 +134,7 @@ where &proof.stages.stage5_sumcheck_proof, transcript, 5, - )?; + ))?; sumchecks.append_output_claims(transcript, claims); diff --git a/crates/jolt-verifier/src/stages/stage6a/bytecode_read_raf.rs b/crates/jolt-verifier/src/stages/stage6a/bytecode_read_raf.rs index f794651b82..1bfde608f2 100644 --- a/crates/jolt-verifier/src/stages/stage6a/bytecode_read_raf.rs +++ b/crates/jolt-verifier/src/stages/stage6a/bytecode_read_raf.rs @@ -356,7 +356,7 @@ impl ConcreteSumcheck for BytecodeReadRafAddressPhase { fn symbolic(&self) -> &Self::Symbolic { &self.symbolic } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_support)] fn wire_output_openings( &self, ) -> BTreeSet<::OpeningId> { diff --git a/crates/jolt-verifier/src/stages/stage6a/verify.rs b/crates/jolt-verifier/src/stages/stage6a/verify.rs index 99f3533e92..211507ff84 100644 --- a/crates/jolt-verifier/src/stages/stage6a/verify.rs +++ b/crates/jolt-verifier/src/stages/stage6a/verify.rs @@ -111,7 +111,7 @@ where // Rejects val-stage claims whose presence or count disagrees with the // committed-program mode (the bytecode member's wire set carries the staged // `BytecodeValClaim` ids exactly when the program is committed). - address_sumchecks.validate_output_claims(claims)?; + crate::recipe_validate_output_claims!(checked; address_sumchecks(claims))?; // The bytecode address-phase input claim is the gamma-folded bind of every // prior clear stage opening (plus, under akita, the four reduced `Inc` @@ -148,7 +148,7 @@ where booleanity: BooleanityAddressPhaseInputClaims::default(), }; - let output_points = address_sumchecks.verify_clear( + let output_points = crate::recipe_verify_clear!(checked; address_sumchecks( &address_input_values, &address_input_points, &address_challenges, @@ -156,7 +156,7 @@ where &proof.stages.stage6a_sumcheck_proof, transcript, 6, - )?; + ))?; // The address-phase opening order (bytecode `intermediate`, each `val_stages`, // then booleanity `intermediate`) is single-sourced from the generated diff --git a/crates/jolt-verifier/src/stages/stage6b/bytecode_read_raf.rs b/crates/jolt-verifier/src/stages/stage6b/bytecode_read_raf.rs index 5e8076fbbb..17b2d3b7a3 100644 --- a/crates/jolt-verifier/src/stages/stage6b/bytecode_read_raf.rs +++ b/crates/jolt-verifier/src/stages/stage6b/bytecode_read_raf.rs @@ -279,7 +279,7 @@ fn r_cycle_suffix(log_t: usize, opening_point: &[F]) -> Result<&[F .and_then(|start| opening_point.get(start..)) .ok_or_else(|| public_input_failed("bytecode cycle opening point shorter than log_t")) } - +#[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_output)] #[cfg(not(feature = "akita"))] #[expect( clippy::wildcard_enum_match_arm, @@ -341,7 +341,7 @@ impl ConcreteSumcheck for BytecodeReadRaf { let r_cycle = sumcheck_point.iter().rev().copied().collect::>(); derive_cycle_opening_points(&self.r_address, self.committed_chunk_bits, r_cycle) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_public_output)] #[cfg_attr( feature = "akita", expect( @@ -771,7 +771,7 @@ impl ConcreteSumcheck for BytecodeReadRafCommitted { let r_cycle = sumcheck_point.iter().rev().copied().collect::>(); derive_cycle_opening_points(&self.r_address, self.committed_chunk_bits, r_cycle) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_output)] #[expect( clippy::wildcard_enum_match_arm, reason = "fail-closed: ids not owned by this relation resolve to a missing-claim error" @@ -991,7 +991,7 @@ impl ConcreteSumcheck for BytecodeReadRafCycle { } } } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::ir_expected_pair)] fn expected_output( &self, input_points: &BytecodeReadRafInputClaims>, diff --git a/crates/jolt-verifier/src/stages/stage6b/committed_reduction_cycle_phase.rs b/crates/jolt-verifier/src/stages/stage6b/committed_reduction_cycle_phase.rs index 385bd7d409..3f2f907615 100644 --- a/crates/jolt-verifier/src/stages/stage6b/committed_reduction_cycle_phase.rs +++ b/crates/jolt-verifier/src/stages/stage6b/committed_reduction_cycle_phase.rs @@ -157,7 +157,7 @@ impl ConcreteSumcheck for TrustedAdviceCyclePhase { trusted: opening_point, }) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::recipe_method())] fn expected_output( &self, _input_points: &TrustedAdviceCyclePhaseInputClaims>, @@ -244,7 +244,7 @@ impl ConcreteSumcheck for UntrustedAdviceCyclePhase { untrusted: opening_point, }) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::recipe_method())] fn expected_output( &self, _input_points: &UntrustedAdviceCyclePhaseInputClaims>, @@ -353,7 +353,7 @@ impl ConcreteSumcheck for ProgramImageReductionCyclePhase { program_image: opening_point, }) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::recipe_method())] fn expected_output( &self, _input_points: &ProgramImageReductionCyclePhaseInputClaims>, @@ -471,7 +471,7 @@ impl ConcreteSumcheck for BytecodeReductionCyclePhase { ) }) } - + #[cfg_attr(feature = "immutable-recipes", jolt_verifier_derive::recipe_method())] fn expected_output( &self, _input_points: &BytecodeReductionCyclePhaseInputClaims>, diff --git a/crates/jolt-verifier/src/stages/stage6b/verify.rs b/crates/jolt-verifier/src/stages/stage6b/verify.rs index 7bb1edc2bb..7420a59f95 100644 --- a/crates/jolt-verifier/src/stages/stage6b/verify.rs +++ b/crates/jolt-verifier/src/stages/stage6b/verify.rs @@ -220,7 +220,7 @@ where stage4, &stage5.output_values, )?; - let cycle_points = sumchecks.verify_clear( + let cycle_points = crate::recipe_verify_clear!(checked; sumchecks( &input_values, &input_points, &cycle_challenges, @@ -228,7 +228,7 @@ where &proof.stages.stage6b_sumcheck_proof, transcript, 6, - )?; + ))?; let booleanity_opening_point = cycle_points .booleanity_opening_point() diff --git a/crates/jolt-verifier/src/stages/stage7/verify.rs b/crates/jolt-verifier/src/stages/stage7/verify.rs index bc7ceefe73..7af4cb0b2a 100644 --- a/crates/jolt-verifier/src/stages/stage7/verify.rs +++ b/crates/jolt-verifier/src/stages/stage7/verify.rs @@ -129,12 +129,12 @@ where // Also rejects claims supplied for phases that did not run, with the same // `UnexpectedOpeningClaim` ids the former hand-written guards used (the id is // derived from the supplied claims' canonical order). - sumchecks.validate_output_claims(claims)?; + crate::recipe_validate_output_claims!(checked; sumchecks(claims))?; let input_values = stage7_input_values_from_upstream(&sumchecks, stage6)?; let input_points = sumchecks.empty_input_points(); - let output_points = sumchecks.verify_clear( + let output_points = crate::recipe_verify_clear!(checked; sumchecks( &input_values, &input_points, &challenges, @@ -142,7 +142,7 @@ where &proof.stages.stage7_sumcheck_proof, transcript, 7, - )?; + ))?; sumchecks.append_output_claims(transcript, claims); diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index a3016876b9..deb0a62028 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -10,6 +10,8 @@ path = "src/main.rs" [features] terminal-contraction = ["jolt-akita?/terminal-contraction"] segment-setup = ["jolt-akita?/segment-setup"] +immutable-recipes = ["akita", "field-inline", "jolt-sdk/immutable-recipes"] +immutable-recipes-record = ["immutable-recipes", "jolt-sdk/immutable-recipes-record", "dep:jolt-claims", "jolt-claims/immutable-recipes-record", "dep:jolt-field", "dep:sha2", "dep:hex", "dep:serde_json"] word-memory = [] ntt-inline = ["akita", "dep:jolt-inlines-ntt"] # Non-default: default workspace builds must not unify field-inline into the @@ -72,6 +74,11 @@ setup-sop-structured = ["jolt-akita?/setup-sop-structured"] weighted-dot-horner = [] [dependencies] +jolt-claims = { path = "../../crates/jolt-claims", optional = true } +jolt-field = { path = "../../crates/jolt-field", optional = true } +sha2 = { workspace = true, optional = true } +hex = { workspace = true, optional = true } +serde_json = { workspace = true, features = ["std"], optional = true } jolt-akita = { path = "../../crates/jolt-akita", optional = true } jolt-program = { path = "../../crates/jolt-program", optional = true } jolt-witness = { path = "../../crates/jolt-witness", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 70c3b064b1..23855131a4 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -6,6 +6,7 @@ edition = "2021" [features] terminal-contraction = ["jolt-akita?/terminal-contraction", "jolt-field/terminal-contraction"] segment-setup = ["jolt-akita?/segment-setup"] +immutable-recipes = ["akita", "field-inline-fp128", "jolt_sdk/immutable-recipes"] ntt-inline = ["akita", "jolt-akita/ntt-inline"] guest = [] word-memory = ["jolt_sdk/word-memory"] diff --git a/examples/recursion/src/immutable_recipe_generation.rs b/examples/recursion/src/immutable_recipe_generation.rs new file mode 100644 index 0000000000..d1d39d20d8 --- /dev/null +++ b/examples/recursion/src/immutable_recipe_generation.rs @@ -0,0 +1,271 @@ +use crate::{ + AkitaField, GuestProgram, GuestProof, GuestVerifierPreprocessing, JoltDevice, + ProgramPreprocessingMode, +}; +use jolt_claims::immutable_recipes::record::{Capture, Session}; +use jolt_field::Ring; +use serde::Serialize; +use sha2::{Digest, Sha256}; +use std::error::Error; +use std::fs::{self, OpenOptions}; +use std::io::{self, Write}; +use std::path::PathBuf; + +type Result = std::result::Result>; + +#[derive(Serialize)] +struct Context { + status: &'static str, + guest: &'static str, + proof_count: u32, + requested_scalar: u32, + requested_input_sha256: String, + max_trace_length: usize, + actual_trace_length: usize, + padded_trace_length: usize, + input_sha256: String, + accepted_proof_encoding_sha256: String, + accepted_public_io_encoding_sha256: String, + prepared_setup_encoding_sha256: String, + detached_payload_sha256: Vec, + host_executable_sha256: String, + interpretation: &'static str, +} + +pub(crate) struct Request { + output: PathBuf, + scalar: u32, + input: Vec, + input_hash: String, + trace_length: Option, +} +impl Request { + pub(crate) fn observe_trace(&mut self, trace_length: usize) -> Result<()> { + if trace_length == 0 || self.trace_length.replace(trace_length).is_some() { + return Err( + io::Error::other("exactly one nonempty canonical trace is required").into(), + ); + } + Ok(()) + } +} +pub(crate) struct Pending { + request: Request, + max_trace_length: usize, + session: Result, +} +pub(crate) struct Ready { + output: PathBuf, + input: Vec, + context: Context, + capture: Capture, +} + +fn hash(bytes: &[u8]) -> String { + hex::encode(Sha256::digest(bytes)) +} + +/// Request validation and input construction occur before any trace/proof work. +/// Capture itself remains inactive until the original verification loop. +pub(crate) fn request( + guest: GuestProgram, + proofs: usize, + mode: ProgramPreprocessingMode, +) -> Result> { + let Some(output) = std::env::var_os("JOLT_IMMUTABLE_RECIPE_OUTPUT") else { + return Ok(None); + }; + let output = PathBuf::from(output); + if !output.is_absolute() || output.exists() { + return Err(io::Error::other("recipe output must be a fresh absolute directory").into()); + } + if mode != ProgramPreprocessingMode::Full || guest != GuestProgram::Fibonacci || proofs != 1 { + return Err(io::Error::other( + "recipe generation requires exactly one Full Fibonacci proof", + ) + .into()); + } + if AkitaField::immutable_recipe_native_field().is_none() { + return Err( + io::Error::other("native recipe generation requires the admitted Fp128 type").into(), + ); + } + let scalar: u32 = std::env::var("RECURSION_FIB_N")?.parse()?; + let input = postcard::to_stdvec(&scalar)?; + let input_hash = hash(&input); + Ok(Some(Request { + output, + scalar, + input, + input_hash, + trace_length: None, + })) +} + +pub(crate) fn inputs( + request: &Option, + canonical: impl FnOnce() -> Vec>, +) -> Vec> { + match request { + Some(request) => vec![request.input.clone()], + None => canonical(), + } +} + +/// A capture-start error is deferred until canonical verification has returned. +pub(crate) fn begin( + request: Option, + n: u32, + actual_count: usize, + max_trace_length: usize, +) -> Option { + request.map(|request| { + let session = if n != 1 || actual_count != 1 { + Err(io::Error::other("canonical generation proof count changed").into()) + } else { + Session::begin().map_err(Into::into) + }; + Pending { + request, + max_trace_length, + session, + } + }) +} + +impl Pending { + pub(crate) fn finish( + self, + records: &[(GuestProof, JoltDevice)], + setup: &GuestVerifierPreprocessing, + payloads: &[Vec], + ) -> Result { + let capture = self.session?.finish()?; + let [(proof, public_io)] = records else { + return Err(io::Error::other("canonical generation proof count changed").into()); + }; + if !matches!(proof.trace_length, 4096 | 1048576) { + return Err(io::Error::other( + "canonical generation is outside the two admitted padded sizes", + ) + .into()); + } + let actual_trace_length = self + .request + .trace_length + .ok_or_else(|| io::Error::other("canonical unpadded trace observation missing"))?; + let proof_bytes = bincode::serde::encode_to_vec(proof, bincode::config::standard())?; + let public_io_bytes = + bincode::serde::encode_to_vec(public_io, bincode::config::standard())?; + let setup_bytes = bincode::serde::encode_to_vec(setup, bincode::config::standard())?; + if public_io.inputs != self.request.input { + return Err(io::Error::other( + "accepted public input differs from the pre-trace request", + ) + .into()); + } + let executable = fs::read(std::env::current_exe()?)?; + Ok(Ready { + output: self.request.output, input: self.request.input, + context: Context { + status: "CANONICAL_NATIVE_RECORDING_ONLY", + guest: "fibonacci-guest", proof_count: 1, max_trace_length: self.max_trace_length, + requested_scalar: self.request.scalar, requested_input_sha256: self.request.input_hash, + actual_trace_length, padded_trace_length: proof.trace_length, + input_sha256: hash(&public_io.inputs), + accepted_proof_encoding_sha256: hash(&proof_bytes), + accepted_public_io_encoding_sha256: hash(&public_io_bytes), + prepared_setup_encoding_sha256: hash(&setup_bytes), + detached_payload_sha256: payloads.iter().map(|payload| hash(payload)).collect(), + host_executable_sha256: hash(&executable), + interpretation: "Canonical encodings of the same typed values accepted by the original single verification. Native verification did not parse the final stream. No HP05 byte identity or source/guest qualification is inferred.", + }, capture, + }) + } +} + +struct Staging { + path: PathBuf, + published: bool, +} +impl Drop for Staging { + fn drop(&mut self) { + if !self.published { + for name in [ + "recipes.rs", + "capture.json", + "context.json", + "accepted-stream.bin", + "input.bin", + "SHA256SUMS", + ] { + let _ = fs::remove_file(self.path.join(name)); + } + let _ = fs::remove_dir(&self.path); + } + } +} +impl Staging { + fn write(&self, name: &str, bytes: &[u8]) -> Result { + let mut file = OpenOptions::new() + .write(true) + .create_new(true) + .open(self.path.join(name))?; + file.write_all(bytes)?; + file.sync_all()?; + Ok(format!("{} {name}\n", hash(bytes))) + } +} + +/// Publication follows the existing serialization of the accepted typed values. +/// No source file is written while capture/coverage/serialization can still fail. +pub(crate) fn publish(pending: Option>, stream: &[u8]) -> Result<()> { + let Some(pending) = pending else { + return Ok(()); + }; + let mut ready = pending?; + let source = ready.capture.source()?; + let identities = ready.capture.identities()?; + let capture = serde_json::to_vec_pretty(&serde_json::json!({ + "status": "CLOSED_CANONICAL_RECIPES_GENERATED_NOT_QUALIFIED", + "logical_capture_bytes": ready.capture.logical_bytes, + "factor_events": ready.capture.factor_events, + "records": identities, + "serialized_stream_sha256": hash(stream), + "source_sha256": hash(source.as_bytes()), + "source_bytes": source.len(), + }))?; + let context = serde_json::to_vec_pretty(&ready.context)?; + if ready.output.exists() { + return Err(io::Error::other("recipe output already exists").into()); + } + let parent = ready + .output + .parent() + .ok_or_else(|| io::Error::other("recipe output has no parent"))?; + let name = ready + .output + .file_name() + .ok_or_else(|| io::Error::other("recipe output has no name"))?; + let mut temporary_name = name.to_os_string(); + temporary_name.push(format!(".staging-{}", std::process::id())); + let temporary = parent.join(temporary_name); + fs::create_dir(&temporary)?; + let mut staging = Staging { + path: temporary, + published: false, + }; + let mut manifest = String::new(); + manifest.push_str(&staging.write("recipes.rs", source.as_bytes())?); + manifest.push_str(&staging.write("capture.json", &capture)?); + manifest.push_str(&staging.write("context.json", &context)?); + manifest.push_str(&staging.write("accepted-stream.bin", stream)?); + manifest.push_str(&staging.write("input.bin", &ready.input)?); + let _ = staging.write("SHA256SUMS", manifest.as_bytes())?; + if ready.output.exists() { + return Err(io::Error::other("recipe output appeared during staging").into()); + } + fs::rename(&staging.path, &ready.output)?; + staging.published = true; + Ok(()) +} diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index baabf95d33..8b096e29fb 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -420,7 +420,7 @@ fn preprocess_guest_prover( ) -> JoltProverPreprocessing { jolt_sdk::preprocess_program(guest_prog, memory_config, max_trace_length, mode).unwrap() } - +#[cfg_attr(feature = "immutable-recipes-record", jolt_claims::record_generate)] /// The packed (Akita) inner proofs use the modular prover over fp128 and the /// packed verifier preprocessing from /// the host's own verification of each proof. @@ -936,7 +936,7 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { #[cfg(feature = "weighted-dot-horner")] program.add_guest_feature("weighted-dot-horner"); program.set_memory_config(memory_config); - program + self::immutable_recursion_program!(program) } #[derive(Clone, Copy, PartialEq, Eq, ValueEnum)] @@ -1473,3 +1473,21 @@ mod tests { } } } + +#[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] +mod immutable_recipe_generation; + +#[cfg(not(feature = "immutable-recipes"))] +macro_rules! immutable_recursion_program { + ($program:ident) => { + $program + }; +} +#[cfg(feature = "immutable-recipes")] +macro_rules! immutable_recursion_program { + ($program:ident) => {{ + $program.add_guest_feature("immutable-recipes"); + $program + }}; +} +pub(crate) use immutable_recursion_program; diff --git a/jolt-sdk/Cargo.toml b/jolt-sdk/Cargo.toml index 4287e697bb..2db1457488 100644 --- a/jolt-sdk/Cargo.toml +++ b/jolt-sdk/Cargo.toml @@ -15,6 +15,8 @@ repository = "https://github.com/a16z/jolt" edition = "2021" [features] +immutable-recipes = ["jolt-verifier?/immutable-recipes"] +immutable-recipes-record = ["immutable-recipes", "jolt-verifier?/immutable-recipes-record"] default = ["jolt-platform/random"] # std guests: route Rust allocations to jolt-platform's O(1) size-class # arena instead of musl's malloc over ZeroOS's first-fit heap. From a54a9893589ddac0f845a54103665aef12808091 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:08 +0000 Subject: [PATCH 053/131] Fix recipe macro lint violations --- crates/jolt-claims-derive/src/recipe_items.rs | 14 ++++++++++---- crates/jolt-claims-derive/src/record_generate.rs | 4 ++-- 2 files changed, 12 insertions(+), 6 deletions(-) diff --git a/crates/jolt-claims-derive/src/recipe_items.rs b/crates/jolt-claims-derive/src/recipe_items.rs index c804154a18..397cf9dfa2 100644 --- a/crates/jolt-claims-derive/src/recipe_items.rs +++ b/crates/jolt-claims-derive/src/recipe_items.rs @@ -12,7 +12,10 @@ pub fn expand(input: TokenStream) -> syn::Result { match item { Item::Struct(item) => { let index = named(&item.ident)?; - if structures[index] { + let seen = structures + .get_mut(index) + .ok_or_else(|| Error::new_spanned(&item.ident, "unknown recipe delegate"))?; + if *seen { return Err(Error::new_spanned(item, "duplicate recipe structure")); } let Fields::Named(fields) = &item.fields else { @@ -28,14 +31,17 @@ pub fn expand(input: TokenStream) -> syn::Result { { return Err(Error::new_spanned(item, "recipe delegate fields changed")); } - structures[index] = true; + *seen = true; } Item::Impl(item) => { let index = implementation(item)?; - if implementations[index] { + let seen = implementations + .get_mut(index) + .ok_or_else(|| Error::new_spanned(&*item, "unknown recipe delegate"))?; + if *seen { return Err(Error::new_spanned(item, "duplicate recipe implementation")); } - implementations[index] = true; + *seen = true; item.items.push(match index { 0 => parse_quote!(crate::immutable_base_recipe!(3, COMPOSED, Composed);), 1 => parse_quote!(crate::immutable_base_recipe!(18, COMPOSED, Composed);), diff --git a/crates/jolt-claims-derive/src/record_generate.rs b/crates/jolt-claims-derive/src/record_generate.rs index ec76d7fe67..f7c82b7324 100644 --- a/crates/jolt-claims-derive/src/record_generate.rs +++ b/crates/jolt-claims-derive/src/record_generate.rs @@ -53,8 +53,8 @@ pub fn expand(input: TokenStream) -> syn::Result { )); } let original = &initializer.expr; - initializer.expr = Box::new( - parse_quote!(crate::immutable_recipe_generation::inputs(&__recipe_request, || #original)), + *initializer.expr = parse_quote!( + crate::immutable_recipe_generation::inputs(&__recipe_request, || #original) ); inputs += 1; } From 1461a618117fd28d8814980c090152ced302eca7 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:08 +0000 Subject: [PATCH 054/131] Fix recipe test panic and stale lint expectation --- crates/jolt-claims/src/immutable_recipes/mod.rs | 4 ---- crates/jolt-verifier-derive/src/recipe_method.rs | 11 ++++++++--- 2 files changed, 8 insertions(+), 7 deletions(-) diff --git a/crates/jolt-claims/src/immutable_recipes/mod.rs b/crates/jolt-claims/src/immutable_recipes/mod.rs index 6416ddf8d4..e69726ac27 100644 --- a/crates/jolt-claims/src/immutable_recipes/mod.rs +++ b/crates/jolt-claims/src/immutable_recipes/mod.rs @@ -64,10 +64,6 @@ pub struct Record<'a, O, D, C> { } impl<'a, O, D, C> Record<'a, O, D, C> { - #[expect( - clippy::too_many_arguments, - reason = "one checked boundary for the closed generated record" - )] pub const fn new( key: &'a [u64], phase: Phase, diff --git a/crates/jolt-verifier-derive/src/recipe_method.rs b/crates/jolt-verifier-derive/src/recipe_method.rs index 3e9d62428e..df0a969fa2 100644 --- a/crates/jolt-verifier-derive/src/recipe_method.rs +++ b/crates/jolt-verifier-derive/src/recipe_method.rs @@ -294,9 +294,14 @@ mod tests { let implementation: syn::ItemImpl = syn::parse2(quote!(impl Fixture { #expanded })).expect("generated methods parse"); assert_eq!(implementation.items.len(), 2); - let Some(syn::ImplItem::Fn(selected)) = implementation.items.last() else { - panic!("selected method missing"); - }; + let selected = implementation + .items + .last() + .and_then(|item| match item { + syn::ImplItem::Fn(selected) => Some(selected), + _ => None, + }) + .expect("selected method missing"); assert_eq!(selected.sig.ident, "expected_output_with_recipes"); assert_eq!(selected.sig.inputs.len(), 2); } From 9a607482266bed8ceeca2b5f1ccb5c5bee23415c Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:08 +0000 Subject: [PATCH 055/131] Place recipe macros before final test modules --- .../relations/claim_reductions/increments.rs | 10 +- .../relations/claim_reductions/registers.rs | 10 +- .../field_inline/relations/registers.rs | 12 +- crates/jolt-claims/src/symbolic.rs | 154 +++++++++--------- 4 files changed, 93 insertions(+), 93 deletions(-) diff --git a/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/increments.rs b/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/increments.rs index 1d2726f973..19301dc4ed 100644 --- a/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/increments.rs +++ b/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/increments.rs @@ -75,6 +75,11 @@ twist::instantiate_increment_reduction! { gamma = FieldRegistersIncClaimReductionChallenge::Gamma, } +macro_rules! immutable_twist_recipe { + (ClaimReduction) => { crate::immutable_symbolic_recipe!(26, FIELD, Field; shape); }; +} +pub(crate) use immutable_twist_recipe; + #[cfg(test)] mod tests { use super::*; @@ -97,8 +102,3 @@ mod tests { assert_eq!(inputs.canonical_order(), claim_reduction_input_openings()); } } - -macro_rules! immutable_twist_recipe { - (ClaimReduction) => { crate::immutable_symbolic_recipe!(26, FIELD, Field; shape); }; -} -pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/registers.rs b/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/registers.rs index 00c030e272..d9353c55f6 100644 --- a/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/registers.rs +++ b/crates/jolt-claims/src/protocols/field_inline/relations/claim_reductions/registers.rs @@ -85,6 +85,11 @@ twist::instantiate_value_reduction! { eq_spartan = FieldRegistersClaimReductionPublic::EqSpartan, } +macro_rules! immutable_twist_recipe { + (ClaimReduction) => { crate::immutable_symbolic_recipe!(5, FIELD, Field; shape); }; +} +pub(crate) use immutable_twist_recipe; + #[cfg(test)] mod tests { use super::*; @@ -112,8 +117,3 @@ mod tests { assert_eq!(inputs.canonical_order(), claim_reduction_input_openings()); } } - -macro_rules! immutable_twist_recipe { - (ClaimReduction) => { crate::immutable_symbolic_recipe!(5, FIELD, Field; shape); }; -} -pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/protocols/field_inline/relations/registers.rs b/crates/jolt-claims/src/protocols/field_inline/relations/registers.rs index 525d5902af..5ad937d630 100644 --- a/crates/jolt-claims/src/protocols/field_inline/relations/registers.rs +++ b/crates/jolt-claims/src/protocols/field_inline/relations/registers.rs @@ -136,6 +136,12 @@ twist::instantiate_val_evaluation! { lt_cycle = FieldRegistersValEvaluationPublic::LtCycle, } +macro_rules! immutable_twist_recipe { + (ReadWriteChecking) => { crate::immutable_symbolic_recipe!(12, FIELD, Field; shape); }; + (ValEvaluation) => { crate::immutable_symbolic_recipe!(17, FIELD, Field; shape); }; +} +pub(crate) use immutable_twist_recipe; + #[cfg(test)] mod tests { use super::*; @@ -183,9 +189,3 @@ mod tests { assert_eq!(inputs.canonical_order(), val_evaluation_input_openings()); } } - -macro_rules! immutable_twist_recipe { - (ReadWriteChecking) => { crate::immutable_symbolic_recipe!(12, FIELD, Field; shape); }; - (ValEvaluation) => { crate::immutable_symbolic_recipe!(17, FIELD, Field; shape); }; -} -pub(crate) use immutable_twist_recipe; diff --git a/crates/jolt-claims/src/symbolic.rs b/crates/jolt-claims/src/symbolic.rs index 849b4e65b6..25ceb37932 100644 --- a/crates/jolt-claims/src/symbolic.rs +++ b/crates/jolt-claims/src/symbolic.rs @@ -100,6 +100,83 @@ pub fn referenced_openings( openings } +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_symbolic_defaults { + () => { + #[cfg(feature = "immutable-recipes")] + fn immutable_shape_visit( + &self, + _family: u64, + _sink: &mut dyn $crate::immutable_recipes::KeySink, + ) -> bool { + false + } + #[cfg(feature = "immutable-recipes")] + fn immutable_shape_permit(&self) -> Option<$crate::immutable_recipes::BasePermit> + where + Self: Sized, + { + None + } + #[cfg(feature = "immutable-recipes")] + fn immutable_recipe( + &self, + _phase: $crate::immutable_recipes::Phase, + ) -> Result< + Option< + $crate::immutable_recipes::Recipe< + '_, + F, + Self::OpeningId, + Self::DerivedId, + Self::ChallengeId, + >, + >, + $crate::immutable_recipes::RecipeError, + > { + Ok(None) + } + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + fn immutable_record_expression( + &self, + _phase: $crate::immutable_recipes::Phase, + _expression: &$crate::Expr, + ) { + } + #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] + fn immutable_record_support( + &self, + _openings: &::std::collections::BTreeSet, + ) { + } + }; +} + +#[cfg(not(feature = "immutable-recipes"))] +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_symbolic_recipe { + ($($unused:tt)*) => {}; +} + +#[doc(hidden)] +#[macro_export] +macro_rules! immutable_key_delegate { + ($family:literal; $($field:ident),+ $(,)?) => { + #[cfg(feature = "immutable-recipes")] + fn immutable_shape_permit(&self) -> Option<$crate::immutable_recipes::BasePermit> { + Some($crate::immutable_recipes::BasePermit::new()) + } + #[cfg(feature = "immutable-recipes")] + fn immutable_shape_visit(&self, family: u64, sink: &mut dyn $crate::immutable_recipes::KeySink) -> bool { + if family != $family { return false; } + let Self { $($field),+ } = self; + true $(&& $crate::immutable_recipes::KeyVisit::visit($field, sink))+ + } + }; +} + #[cfg(test)] mod tests { use super::*; @@ -224,80 +301,3 @@ mod tests { assert_eq!(succeeded, Ok(resolve(&expr))); } } - -#[doc(hidden)] -#[macro_export] -macro_rules! immutable_symbolic_defaults { - () => { - #[cfg(feature = "immutable-recipes")] - fn immutable_shape_visit( - &self, - _family: u64, - _sink: &mut dyn $crate::immutable_recipes::KeySink, - ) -> bool { - false - } - #[cfg(feature = "immutable-recipes")] - fn immutable_shape_permit(&self) -> Option<$crate::immutable_recipes::BasePermit> - where - Self: Sized, - { - None - } - #[cfg(feature = "immutable-recipes")] - fn immutable_recipe( - &self, - _phase: $crate::immutable_recipes::Phase, - ) -> Result< - Option< - $crate::immutable_recipes::Recipe< - '_, - F, - Self::OpeningId, - Self::DerivedId, - Self::ChallengeId, - >, - >, - $crate::immutable_recipes::RecipeError, - > { - Ok(None) - } - #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] - fn immutable_record_expression( - &self, - _phase: $crate::immutable_recipes::Phase, - _expression: &$crate::Expr, - ) { - } - #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] - fn immutable_record_support( - &self, - _openings: &::std::collections::BTreeSet, - ) { - } - }; -} - -#[cfg(not(feature = "immutable-recipes"))] -#[doc(hidden)] -#[macro_export] -macro_rules! immutable_symbolic_recipe { - ($($unused:tt)*) => {}; -} - -#[doc(hidden)] -#[macro_export] -macro_rules! immutable_key_delegate { - ($family:literal; $($field:ident),+ $(,)?) => { - #[cfg(feature = "immutable-recipes")] - fn immutable_shape_permit(&self) -> Option<$crate::immutable_recipes::BasePermit> { - Some($crate::immutable_recipes::BasePermit::new()) - } - #[cfg(feature = "immutable-recipes")] - fn immutable_shape_visit(&self, family: u64, sink: &mut dyn $crate::immutable_recipes::KeySink) -> bool { - if family != $family { return false; } - let Self { $($field),+ } = self; - true $(&& $crate::immutable_recipes::KeyVisit::visit($field, sink))+ - } - }; -} From 5bceb70856044918f2aba5d8167805a2fb97d7d0 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:08 +0000 Subject: [PATCH 056/131] Place recursion recipe macros before the test module Move the immutable_recursion_program macros, their pub(crate) use and the immutable_recipe_generation module above mod tests in examples/recursion/src/main.rs, clearing clippy::items_after_test_module. Layout only; no logic change. --- examples/recursion/src/main.rs | 36 +++++++++++++++++----------------- 1 file changed, 18 insertions(+), 18 deletions(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 8b096e29fb..5c6e1d2035 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1440,6 +1440,24 @@ fn main() { } } +#[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] +mod immutable_recipe_generation; + +#[cfg(not(feature = "immutable-recipes"))] +macro_rules! immutable_recursion_program { + ($program:ident) => { + $program + }; +} +#[cfg(feature = "immutable-recipes")] +macro_rules! immutable_recursion_program { + ($program:ident) => {{ + $program.add_guest_feature("immutable-recipes"); + $program + }}; +} +pub(crate) use immutable_recursion_program; + #[cfg(test)] mod tests { use super::decode_verifier_output; @@ -1473,21 +1491,3 @@ mod tests { } } } - -#[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] -mod immutable_recipe_generation; - -#[cfg(not(feature = "immutable-recipes"))] -macro_rules! immutable_recursion_program { - ($program:ident) => { - $program - }; -} -#[cfg(feature = "immutable-recipes")] -macro_rules! immutable_recursion_program { - ($program:ident) => {{ - $program.add_guest_feature("immutable-recipes"); - $program - }}; -} -pub(crate) use immutable_recursion_program; From 3f8d9ad77be1a5ea9bb3f4d7fb86fed2409660ed Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:08 +0000 Subject: [PATCH 057/131] Enable syn visit-mut only with immutable recipes jolt-verifier-derive turned on syn's visit-mut feature unconditionally. That changes syn's build metadata for every crate that depends on syn, including serde_derive, so the feature-off recursion guest was linked in a different order and executed 93 more rows than its base. Move visit-mut behind a new jolt-verifier-derive/immutable-recipes feature, forwarded from jolt-verifier/immutable-recipes, and keep it as a dev-dependency feature for the crate's own tests. Without the feature the recipe attributes are never applied, and batch_companions returns the driver unchanged, as its companions are compiled out anyway. --- crates/jolt-verifier-derive/Cargo.toml | 11 ++++++- .../jolt-verifier-derive/src/recipe_method.rs | 32 +++++++++++++++++++ crates/jolt-verifier/Cargo.toml | 2 +- 3 files changed, 43 insertions(+), 2 deletions(-) diff --git a/crates/jolt-verifier-derive/Cargo.toml b/crates/jolt-verifier-derive/Cargo.toml index 98bec09a31..066c098913 100644 --- a/crates/jolt-verifier-derive/Cargo.toml +++ b/crates/jolt-verifier-derive/Cargo.toml @@ -13,6 +13,15 @@ proc-macro = true workspace = true [dependencies] -syn = { workspace = true, features = ["visit-mut"] } +syn = { workspace = true } quote = { workspace = true } proc-macro2 = { workspace = true } + +[dev-dependencies] +syn = { workspace = true, features = ["visit-mut"] } + +[features] +# Recipe expansion walks method bodies with syn's VisitMut. The syn feature is +# enabled only with this feature (and for this crate's own tests), so builds +# without immutable recipes keep the unchanged dependency graph. +immutable-recipes = ["syn/visit-mut"] diff --git a/crates/jolt-verifier-derive/src/recipe_method.rs b/crates/jolt-verifier-derive/src/recipe_method.rs index df0a969fa2..35ee4371ea 100644 --- a/crates/jolt-verifier-derive/src/recipe_method.rs +++ b/crates/jolt-verifier-derive/src/recipe_method.rs @@ -1,11 +1,28 @@ use proc_macro2::{Span, TokenStream}; +#[cfg(any(feature = "immutable-recipes", test))] use quote::{format_ident, quote}; +#[cfg(any(feature = "immutable-recipes", test))] use std::collections::BTreeMap; +#[cfg(any(feature = "immutable-recipes", test))] use syn::parse::Parser; +#[cfg(any(feature = "immutable-recipes", test))] use syn::punctuated::Punctuated; +#[cfg(any(feature = "immutable-recipes", test))] use syn::visit_mut::{self, VisitMut}; +#[cfg(any(feature = "immutable-recipes", test))] use syn::{parse_quote, Expr, ExprLit, FnArg, ImplItemFn, Lit, MetaNameValue, ReturnType, Token}; +/// Without the feature the recipe attributes are never applied (every use is +/// `cfg_attr(feature = "immutable-recipes", ..)`), so this only reports misuse. +#[cfg(not(any(feature = "immutable-recipes", test)))] +pub(crate) fn expand(_arguments: TokenStream, _original: TokenStream) -> syn::Result { + Err(syn::Error::new( + Span::call_site(), + "recipe expansion requires the immutable-recipes feature", + )) +} + +#[cfg(any(feature = "immutable-recipes", test))] pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> syn::Result { let mut expected = BTreeMap::new(); let mut returns_set = false; @@ -98,12 +115,14 @@ pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> syn::Resu Ok(quote!(#original #selected)) } +#[cfg(any(feature = "immutable-recipes", test))] struct Transform { counts: BTreeMap, declared: BTreeMap, errors: Option, } +#[cfg(any(feature = "immutable-recipes", test))] impl Transform { fn count(&mut self, name: &str) { *self.counts.entry(name.to_owned()).or_default() += 1; @@ -118,6 +137,7 @@ impl Transform { } } +#[cfg(any(feature = "immutable-recipes", test))] impl VisitMut for Transform { fn visit_expr_mut(&mut self, expression: &mut Expr) { if let Expr::MethodCall(call) = expression { @@ -218,7 +238,19 @@ impl VisitMut for Transform { } } +/// Without the feature the companions would all be compiled out by their +/// `cfg(feature = "immutable-recipes")` attributes; emit the driver unchanged. +#[cfg(not(any(feature = "immutable-recipes", test)))] +pub(crate) fn batch_companions( + driver: TokenStream, + _members: usize, + _krate: &syn::Path, +) -> syn::Result { + Ok(driver) +} + /// The permitted transformations follow the already declared batch members. +#[cfg(any(feature = "immutable-recipes", test))] pub(crate) fn batch_companions( driver: TokenStream, members: usize, diff --git a/crates/jolt-verifier/Cargo.toml b/crates/jolt-verifier/Cargo.toml index 4579ccbf1e..aab19a561f 100644 --- a/crates/jolt-verifier/Cargo.toml +++ b/crates/jolt-verifier/Cargo.toml @@ -20,7 +20,7 @@ default = ["transcript-blake2b"] allocative = ["dep:allocative", "jolt-claims/allocative"] prover-fixtures = [] fs-audit = [] -immutable-recipes = ["jolt-claims/immutable-recipes"] +immutable-recipes = ["jolt-claims/immutable-recipes", "jolt-verifier-derive/immutable-recipes"] immutable-recipes-record = ["immutable-recipes", "jolt-claims/immutable-recipes-record"] fuzzing = [] field-inline = [ From 1115c30b8b354ea46cc3524446a6dc2a24a8c917 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:08 +0000 Subject: [PATCH 058/131] Name the failing check in recipe Representation errors Canonical recipe generation fails at inner 2^12 and 2^20 with CaptureError::Representation, which eight different checks return. Give the variant the name of the failing check and one detail value (the factor count or the offending index) so that a generation failure identifies its cause. The recorder is native-only and behind immutable-recipes-record, so guest builds are unaffected. --- .../src/immutable_recipes/record.rs | 49 ++++++++++++++----- 1 file changed, 36 insertions(+), 13 deletions(-) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index 0b645beb20..a6494ac0f5 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -97,8 +97,10 @@ pub enum CaptureError { Poisoned, #[error("immutable recipe recorder capacity exceeded")] Capacity, - #[error("canonical expression cannot be represented by the closed recipe")] - Representation, + /// Names the failing check and one detail value (a count or an index; 0 when + /// the check has none), so a generation failure identifies its cause. + #[error("canonical expression cannot be represented by the closed recipe: {0} (detail {1})")] + Representation(&'static str, u64), #[error("one complete recipe key produced different canonical values")] Conflict, #[error("canonical capture did not cover the required relation phases")] @@ -107,6 +109,11 @@ pub enum CaptureError { Serialization, } +/// Saturating conversion of a count or index into an error detail value. +fn detail(value: usize) -> u64 { + u64::try_from(value).unwrap_or(u64::MAX) +} + /// Implemented by exhaustive identifier matches, never by Debug output. pub trait RenderId { fn render(&self, writer: &mut dyn Write) -> fmt::Result; @@ -333,11 +340,14 @@ impl NativeRecord { budget: &mut Budget, ) -> Result<(), CaptureError> { if self.phase == Phase::Support { - return Err(CaptureError::Representation); + return Err(CaptureError::Representation("expression observed in the support phase", 0)); } for term in &expression.terms { if term.factors.len() > 12 { - return Err(CaptureError::Representation); + return Err(CaptureError::Representation( + "term has more than 12 factors", + detail(term.factors.len()), + )); } budget.factors = budget .factors @@ -349,9 +359,9 @@ impl NativeRecord { let coefficient = term .coefficient .immutable_recipe_export() - .ok_or(CaptureError::Representation)?; + .ok_or(CaptureError::Representation("coefficient has no canonical export", 0))?; if coefficient >= IMMUTABLE_RECIPE_MODULUS { - return Err(CaptureError::Representation); + return Err(CaptureError::Representation("coefficient is not below the modulus", 0)); } let coefficient_index = if let Some(index) = self .coefficients @@ -364,10 +374,14 @@ impl NativeRecord { budget.push(&mut self.coefficients, coefficient)?; index }; - let coefficient_index = - u16::try_from(coefficient_index).map_err(|_| CaptureError::Representation)?; - let count = - u64::try_from(term.factors.len()).map_err(|_| CaptureError::Representation)?; + let coefficient_index = u16::try_from(coefficient_index).map_err(|_| { + CaptureError::Representation( + "coefficient index exceeds 16 bits", + detail(coefficient_index), + ) + })?; + let count = u64::try_from(term.factors.len()) + .map_err(|_| CaptureError::Representation("factor count exceeds 64 bits", 0))?; budget.push( &mut self.headers, (u64::from(coefficient_index) << 4) | count, @@ -382,8 +396,12 @@ impl NativeRecord { budget.push(&mut self.sources, *source)?; index }; - let source_index = - u16::try_from(source_index).map_err(|_| CaptureError::Representation)?; + let source_index = u16::try_from(source_index).map_err(|_| { + CaptureError::Representation( + "source index exceeds 16 bits", + detail(source_index), + ) + })?; word |= u64::from(source_index) << ((index % 4) * 16); if index % 4 == 3 || index + 1 == term.factors.len() { budget.push(&mut self.factors, word)?; @@ -404,7 +422,12 @@ impl NativeRecord { &self.support, ) .map(|_| ()) - .map_err(|_| CaptureError::Representation) + .map_err(|_| { + CaptureError::Representation( + "record failed closed-recipe validation", + detail(self.key.len()), + ) + }) } } From 352b6d83843e91950cb14d46303d447ccef1b55b Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 059/131] Format the named Representation errors Apply rustfmt's layout to the error sites added in the previous commit, as reported by cargo fmt --check. No other change. --- .../src/immutable_recipes/record.rs | 21 +++++++++++++------ 1 file changed, 15 insertions(+), 6 deletions(-) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index a6494ac0f5..fa6dab2cbe 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -340,7 +340,10 @@ impl NativeRecord { budget: &mut Budget, ) -> Result<(), CaptureError> { if self.phase == Phase::Support { - return Err(CaptureError::Representation("expression observed in the support phase", 0)); + return Err(CaptureError::Representation( + "expression observed in the support phase", + 0, + )); } for term in &expression.terms { if term.factors.len() > 12 { @@ -356,12 +359,18 @@ impl NativeRecord { if budget.factors > MAX_FACTORS { return Err(CaptureError::Capacity); } - let coefficient = term - .coefficient - .immutable_recipe_export() - .ok_or(CaptureError::Representation("coefficient has no canonical export", 0))?; + let coefficient = + term.coefficient + .immutable_recipe_export() + .ok_or(CaptureError::Representation( + "coefficient has no canonical export", + 0, + ))?; if coefficient >= IMMUTABLE_RECIPE_MODULUS { - return Err(CaptureError::Representation("coefficient is not below the modulus", 0)); + return Err(CaptureError::Representation( + "coefficient is not below the modulus", + 0, + )); } let coefficient_index = if let Some(index) = self .coefficients From 2a1bfce42d9d266ba11ff81b5a8ad7b69811e81e Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 060/131] Report the relation tag and phase of an over-wide recipe term The more-than-12-factors check now also packs the recipe key's relation tag and the phase into its detail value, so the failing relation can be read from the error. Native recorder only; guest builds are unaffected. --- crates/jolt-claims/src/immutable_recipes/record.rs | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index fa6dab2cbe..fade9d3fec 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -348,8 +348,10 @@ impl NativeRecord { for term in &expression.terms { if term.factors.len() > 12 { return Err(CaptureError::Representation( - "term has more than 12 factors", - detail(term.factors.len()), + "term has more than 12 factors (detail: tag << 32 | phase << 16 | factors)", + detail(term.factors.len()) + | (u64::from(self.phase.code()) << 16) + | (self.key.get(1).copied().unwrap_or(0) << 32), )); } budget.factors = budget From 62030c6a85c2e0fe6aeb3e63b34ec72538835d03 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 061/131] Fall back to canonical evaluation for over-wide recipe keys A recipe term with more than 12 factors cannot be represented in the compact form. Generation used to fail on the first such term; the composed bytecode recipe has one with 62 factors (gamma^4 times stage5_gamma^57 times one opening). Instead, leave such a key out of the generated tables and list it, with its phase, widest term and observation count, in capture.json as fallback_keys. The coverage check accepts a listed fallback for a required tag and phase. Guests need no change: a key absent from the tables already evaluates canonically before any recipe parsing or callback. --- .../src/immutable_recipes/record.rs | 91 +++++++++++++++++++ .../src/immutable_recipe_generation.rs | 1 + 2 files changed, 92 insertions(+) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index fade9d3fec..07d34d82a9 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -18,6 +18,10 @@ use std::thread::{self, ThreadId}; const MAX_KEYS: usize = 4096; const MAX_FACTORS: usize = 1_000_000; const MAX_BYTES: usize = 32 * 1024 * 1024; +/// The compact recipe form admits at most this many factors in one term. A key +/// with a wider term is not recorded; it stays canonical (pre-callback fallback, +/// never truncation) and is listed in `Capture::fallbacks`. +const MAX_TERM_FACTORS: usize = 12; // The reviewed23-owner coverage plus actual Expr output evaluators. The // factored Outer output stays canonical and is not recorded. Bytecode anchor21 @@ -175,6 +179,7 @@ struct State { id: u64, failure: Option, records: Vec, + fallbacks: Vec, logical_bytes: usize, factor_events: usize, } @@ -212,6 +217,7 @@ impl Session { id, failure: None, records: Vec::new(), + fallbacks: Vec::new(), logical_bytes: 0, factor_events: 0, }); @@ -236,12 +242,15 @@ impl Session { !state.records.iter().any(|record| { let (key, actual_phase) = record.record.identity(); key.get(1) == Some(tag) && actual_phase == *phase + }) && !state.fallbacks.iter().any(|listed| { + listed.key.get(1) == Some(tag) && listed.phase == phase_name(*phase) }) }) { return Err(CaptureError::Coverage); } Ok(Capture { records: state.records, + fallbacks: state.fallbacks, logical_bytes: state.logical_bytes, factor_events: state.factor_events, }) @@ -263,6 +272,8 @@ impl Drop for Session { pub struct Capture { records: Vec, + /// Keys left canonical because a term exceeds `MAX_TERM_FACTORS`. + pub fallbacks: Vec, pub logical_bytes: usize, pub factor_events: usize, } @@ -505,6 +516,16 @@ pub(crate) fn expression( let Some(_field) = F::immutable_recipe_native_field() else { return; }; + let widest = expression + .terms + .iter() + .map(|term| term.factors.len()) + .max() + .unwrap_or(0); + if widest > MAX_TERM_FACTORS { + fallback(phase, visit, widest); + return; + } capture(|budget| { let mut record = NativeRecord::new(phase, visit, budget)?; record.expression(expression, budget)?; @@ -512,6 +533,76 @@ pub(crate) fn expression( }); } +/// One key left canonical: its complete key, phase, widest term and the number of +/// observations. Repeated observations must report the same widest term. +#[derive(serde::Serialize)] +pub struct Fallback { + pub key: Vec, + pub phase: &'static str, + pub widest_term: usize, + pub observations: u64, +} + +fn phase_name(phase: Phase) -> &'static str { + match phase { + Phase::Input => "input", + Phase::Output => "output", + Phase::Support => "support", + } +} + +fn fallback(phase: Phase, visit: impl FnOnce(&mut dyn KeySink) -> bool, widest: usize) { + let Ok(mut global) = global() else { + return; + }; + let Some(state) = &mut global.active else { + return; + }; + if state.failure.is_some() { + return; + } + if state.owner != thread::current().id() { + state.failure = Some(CaptureError::Ownership); + return; + } + let mut budget = Budget { + bytes: state.logical_bytes, + factors: state.factor_events, + }; + let name = phase_name(phase); + let result = NativeRecord::<(), (), ()>::new(phase, visit, &mut budget).and_then(|record| { + if let Some(previous) = state + .fallbacks + .iter_mut() + .find(|previous| previous.key == record.key && previous.phase == name) + { + if previous.widest_term != widest { + return Err(CaptureError::Conflict); + } + previous.observations = previous + .observations + .checked_add(1) + .ok_or(CaptureError::Capacity)?; + } else { + budget.push( + &mut state.fallbacks, + Fallback { + key: record.key, + phase: name, + widest_term: widest, + observations: 1, + }, + )?; + } + state.logical_bytes = budget.bytes; + state.factor_events = budget.factors; + Ok(()) + }); + if let Err(error) = result { + state.failure = Some(error); + } +} + pub(crate) fn support( visit: impl FnOnce(&mut dyn KeySink) -> bool, openings: &BTreeSet, diff --git a/examples/recursion/src/immutable_recipe_generation.rs b/examples/recursion/src/immutable_recipe_generation.rs index d1d39d20d8..aa47c65bd5 100644 --- a/examples/recursion/src/immutable_recipe_generation.rs +++ b/examples/recursion/src/immutable_recipe_generation.rs @@ -231,6 +231,7 @@ pub(crate) fn publish(pending: Option>, stream: &[u8]) -> Result<( "logical_capture_bytes": ready.capture.logical_bytes, "factor_events": ready.capture.factor_events, "records": identities, + "fallback_keys": &ready.capture.fallbacks, "serialized_stream_sha256": hash(stream), "source_sha256": hash(source.as_bytes()), "source_bytes": source.len(), From 843b9565f147f2fa566235c76df4795821f0cf2e Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 062/131] Reject a recipe key seen both narrow and over-wide A key and phase could be recorded from a narrow observation and also listed as a fallback from an over-wide one. The table would then carry the narrow recipe and the guest would apply it to every observation. Return Conflict in both directions: when recording a key already listed as a fallback, and when listing a key already recorded. Also bound the fallback list at MAX_KEYS entries, like the records. --- .../src/immutable_recipes/record.rs | 21 +++++++++++++++++++ 1 file changed, 21 insertions(+) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index 07d34d82a9..9a8e423c6e 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -22,6 +22,7 @@ const MAX_BYTES: usize = 32 * 1024 * 1024; /// with a wider term is not recorded; it stays canonical (pre-callback fallback, /// never truncation) and is listed in `Capture::fallbacks`. const MAX_TERM_FACTORS: usize = 12; +const MAX_FALLBACK_KEYS: usize = MAX_KEYS; // The reviewed23-owner coverage plus actual Expr output evaluators. The // factored Outer output stays canonical and is not recorded. Bytecode anchor21 @@ -472,6 +473,16 @@ fn capture(make: impl FnOnce(&mut Budget) -> Result) { factors: state.factor_events, }; let result = make(&mut budget).and_then(|record| { + let (key, phase) = record.identity(); + if state + .fallbacks + .iter() + .any(|listed| listed.key.as_slice() == key && listed.phase == phase_name(phase)) + { + // The same key and phase was already seen over-wide: one table entry + // must never stand for observations that were not all recorded. + return Err(CaptureError::Conflict); + } if let Some(previous) = state .records .iter_mut() @@ -571,6 +582,13 @@ fn fallback(phase: Phase, visit: impl FnOnce(&mut dyn KeySink) -> bool, widest: }; let name = phase_name(phase); let result = NativeRecord::<(), (), ()>::new(phase, visit, &mut budget).and_then(|record| { + if state.records.iter().any(|observed| { + let (key, actual_phase) = observed.record.identity(); + key == record.key.as_slice() && actual_phase == phase + }) { + // The same key and phase was already recorded narrow. + return Err(CaptureError::Conflict); + } if let Some(previous) = state .fallbacks .iter_mut() @@ -584,6 +602,9 @@ fn fallback(phase: Phase, visit: impl FnOnce(&mut dyn KeySink) -> bool, widest: .checked_add(1) .ok_or(CaptureError::Capacity)?; } else { + if state.fallbacks.len() == MAX_FALLBACK_KEYS { + return Err(CaptureError::Capacity); + } budget.push( &mut state.fallbacks, Fallback { From a30d67c67264a6265a1de0686db1d7df8d482f05 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 063/131] Format the fallback coverage check Apply rustfmt's layout to the coverage condition added with the over-wide fallback, as reported by cargo fmt --check. No other change. --- crates/jolt-claims/src/immutable_recipes/record.rs | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index 9a8e423c6e..481f66676f 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -243,9 +243,10 @@ impl Session { !state.records.iter().any(|record| { let (key, actual_phase) = record.record.identity(); key.get(1) == Some(tag) && actual_phase == *phase - }) && !state.fallbacks.iter().any(|listed| { - listed.key.get(1) == Some(tag) && listed.phase == phase_name(*phase) - }) + }) && !state + .fallbacks + .iter() + .any(|listed| listed.key.get(1) == Some(tag) && listed.phase == phase_name(*phase)) }) { return Err(CaptureError::Coverage); } From 6669dc919f5ed9dca5b4d9f35fe13f2ab7d8cbc8 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 064/131] Write recipe coefficients as decimal strings in capture.json capture.json is built with serde_json, which cannot represent integers wider than 64 bits. Canonical coefficients are Fp128 values, so publishing the capture panicked with "number out of range" once generation got past capture. Serialize the coefficient list as decimal strings. The generated recipe source is unaffected. --- crates/jolt-claims/src/immutable_recipes/record.rs | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index 481f66676f..7bf3f0ae86 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -763,11 +763,21 @@ pub struct RecordIdentity<'a> { pub observations: u64, pub headers: &'a [u64], pub factors: &'a [u64], + #[serde(serialize_with = "decimal_strings")] pub coefficients: &'a [u128], pub sources: Vec, pub support: Vec, } +/// Canonical coefficients are field elements up to 128 bits; JSON numbers cannot +/// carry them exactly, so the capture receipt writes them as decimal strings. +fn decimal_strings( + values: &&[u128], + serializer: S, +) -> Result { + serializer.collect_seq(values.iter().map(u128::to_string)) +} + impl NativeRecord { fn identity( &self, From d7c5104891214727cdbd7cf4d039b1c01e14a780 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 065/131] Emit generated recipe tables from an inline const slice --- crates/jolt-claims/src/immutable_recipes/record.rs | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index 7bf3f0ae86..1f7ee1cb21 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -741,7 +741,9 @@ impl Capture { "COMPOSED" => "ComposedTable", _ => "FieldTable", }; - write!(writer, "pub static {family}:{table}=match {table}::new(&[")?; + // An inline const gives the record slice a 'static lifetime; a plain `&[...]` + // argument holding constructor calls is a temporary that a static cannot borrow. + write!(writer, "pub static {family}:{table}=match {table}::new(const {{&[")?; for record in &self.records { match &record.record { Captured::Jolt(record) if family == "JOLT" => record.render(writer)?, @@ -750,7 +752,7 @@ impl Capture { _ => {} } } - writer.write_str("]){Ok(table)=>table,Err(_)=>panic!(\"invalid closed table\")};\n")?; + writer.write_str("]}){Ok(table)=>table,Err(_)=>panic!(\"invalid closed table\")};\n")?; } Ok(()) } From 0bc4d6101d61534f6169554914ef04d718eb457a Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 066/131] Format the inline-const table emitters --- crates/jolt-claims/src/immutable_recipes/record.rs | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index 1f7ee1cb21..ffbf217393 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -743,7 +743,10 @@ impl Capture { }; // An inline const gives the record slice a 'static lifetime; a plain `&[...]` // argument holding constructor calls is a temporary that a static cannot borrow. - write!(writer, "pub static {family}:{table}=match {table}::new(const {{&[")?; + write!( + writer, + "pub static {family}:{table}=match {table}::new(const {{&[" + )?; for record in &self.records { match &record.record { Captured::Jolt(record) if family == "JOLT" => record.render(writer)?, @@ -752,7 +755,8 @@ impl Capture { _ => {} } } - writer.write_str("]}){Ok(table)=>table,Err(_)=>panic!(\"invalid closed table\")};\n")?; + writer + .write_str("]}){Ok(table)=>table,Err(_)=>panic!(\"invalid closed table\")};\n")?; } Ok(()) } From 9c43b4a7250922c0f095e7f8d4967e38471e8b4b Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 067/131] Generate recipe tables in process before the recursion guest build With immutable-recipes, the recursion host now verifies every proof of the stream it embeds, natively and inside one recording session, before the verifier guest is built. When every proof verifies and the capture closes, it renders the tables; otherwise, or with RECURSION_IMMUTABLE_RECIPES=off, it uses three empty tables, so every lookup misses and the guest keeps its canonical expression path. Either file is written by content digest under the guest target directory and named in JOLT_IMMUTABLE_RECIPES_RS for that build only, so the caller never has to set the variable. A caller-set variable is kept. The host feature now carries the native recording code it needs; the publication path stays behind immutable-recipes-record. --- examples/recursion/Cargo.toml | 4 +- .../recursion/src/immutable_recipe_tables.rs | 128 ++++++++++++++++++ examples/recursion/src/main.rs | 9 ++ 3 files changed, 139 insertions(+), 2 deletions(-) create mode 100644 examples/recursion/src/immutable_recipe_tables.rs diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index deb0a62028..a986fc6767 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -10,8 +10,8 @@ path = "src/main.rs" [features] terminal-contraction = ["jolt-akita?/terminal-contraction"] segment-setup = ["jolt-akita?/segment-setup"] -immutable-recipes = ["akita", "field-inline", "jolt-sdk/immutable-recipes"] -immutable-recipes-record = ["immutable-recipes", "jolt-sdk/immutable-recipes-record", "dep:jolt-claims", "jolt-claims/immutable-recipes-record", "dep:jolt-field", "dep:sha2", "dep:hex", "dep:serde_json"] +immutable-recipes = ["akita", "field-inline", "jolt-sdk/immutable-recipes", "jolt-sdk/immutable-recipes-record", "dep:jolt-claims", "jolt-claims/immutable-recipes-record", "dep:jolt-field", "dep:sha2", "dep:hex"] +immutable-recipes-record = ["immutable-recipes", "dep:serde_json"] word-memory = [] ntt-inline = ["akita", "dep:jolt-inlines-ntt"] # Non-default: default workspace builds must not unify field-inline into the diff --git a/examples/recursion/src/immutable_recipe_tables.rs b/examples/recursion/src/immutable_recipe_tables.rs new file mode 100644 index 0000000000..30258f863a --- /dev/null +++ b/examples/recursion/src/immutable_recipe_tables.rs @@ -0,0 +1,128 @@ +//! In-process immutable recipe tables for the verifier-guest build. +//! +//! Before the guest is built, the host verifies every proof of the stream it +//! is about to embed, natively and inside one recording session. Only if every +//! proof verifies and the capture closes does it render the tables, write them +//! under the guest target directory by content digest, and name them in +//! `JOLT_IMMUTABLE_RECIPES_RS` for that build. Otherwise it names a file of +//! three empty tables: every lookup misses and the guest keeps the canonical +//! expression path. Tables are never taken from a proof that did not verify, +//! and the caller never has to set the variable. + +use crate::{ + read_raw, read_record, AkitaField, GuestProof, GuestVerifierPreprocessing, JoltDevice, +}; +use jolt_akita::{AkitaScheme, TrustedBytes}; +use jolt_claims::immutable_recipes::record::Session; +use jolt_field::Ring; +use jolt_sdk::jolt_prover::akita::preprocessing::{AkitaTranscript, AkitaVc}; +use sha2::{Digest, Sha256}; +use std::fs; +use std::path::{Path, PathBuf}; +use tracing::info; + +const VARIABLE: &str = "JOLT_IMMUTABLE_RECIPES_RS"; +/// Three empty tables, in the generated file's form: every lookup misses. +const EMPTY: &str = "pub static JOLT:JoltTable=JoltTable::empty();\n\ +pub static COMPOSED:ComposedTable=ComposedTable::empty();\n\ +pub static FIELD:FieldTable=FieldTable::empty();\n"; +/// `RECURSION_IMMUTABLE_RECIPES=off` skips generation: the guest gets empty tables. +const SWITCH: &str = "RECURSION_IMMUTABLE_RECIPES"; + +/// Names the tables for the next guest build: the generated ones, or empty +/// tables when generation is switched off or does not close. A caller-set +/// variable is kept. Returns whether the variable was set here, for [`release`]. +pub(crate) fn prepare(stream: &[u8], target_dir: &str) -> bool { + if std::env::var_os(VARIABLE).is_some() { + info!(" immutable recipe tables: caller-supplied {VARIABLE}"); + return false; + } + let source = if std::env::var(SWITCH).as_deref() == Ok("off") { + info!(" immutable recipe tables: off; empty tables, canonical path"); + EMPTY.to_owned() + } else { + match generate(stream) { + Ok(source) => source, + Err(reason) => { + info!(" immutable recipe tables: none ({reason}); empty tables, canonical path"); + EMPTY.to_owned() + } + } + }; + match write(&source, target_dir) { + Ok(path) => { + info!(" immutable recipe tables file: {}", path.display()); + std::env::set_var(VARIABLE, &path); + true + } + Err(reason) => { + info!(" immutable recipe tables file not written: {reason}"); + false + } + } +} + +/// Removes the variable [`prepare`] set, so it does not outlive this build. +pub(crate) fn release(set_here: bool) { + if set_here { + std::env::remove_var(VARIABLE); + } +} + +fn generate(stream: &[u8]) -> Result { + if AkitaField::immutable_recipe_native_field().is_none() { + return Err("the proof field has no native recipe form".to_owned()); + } + let mut offset = 0; + let verifier_preprocessing: GuestVerifierPreprocessing = read_record(stream, &mut offset)?; + let payload_count: u32 = read_record(stream, &mut offset)?; + let mut payloads = Vec::new(); + for _ in 0..payload_count { + payloads.push(read_raw(stream, &mut offset)?.to_vec()); + } + let proof_count: u32 = read_record(stream, &mut offset)?; + let mut records = Vec::new(); + for _ in 0..proof_count { + let proof: GuestProof = read_record(stream, &mut offset)?; + let public_io: JoltDevice = read_record(stream, &mut offset)?; + records.push((proof, public_io)); + } + if offset != stream.len() || records.is_empty() { + return Err("the proof stream is not one setup and at least one proof".to_owned()); + } + let mut attached = verifier_preprocessing; + let bodies: Vec = payloads + .into_iter() + // SAFETY: these are the setup bodies of the stream the guest embeds as + // its trusted constant (written by `generate` from the host's own + // prepared setup); the host extends them the same trust as the guest. + .map(|payload| unsafe { TrustedBytes::new(Box::leak(payload.into_boxed_slice())) }) + .collect(); + attached + .pcs_setup + .attach_prepared_payloads(&bodies) + .map_err(|error| format!("prepared payloads did not attach: {error:?}"))?; + let session = Session::begin().map_err(|error| error.to_string())?; + for (proof, public_io) in &records { + jolt_sdk::jolt_verifier::verify::( + &attached, public_io, proof, None, + ) + .map_err(|error| format!("native verification rejected a proof: {error:?}"))?; + } + let mut capture = session.finish().map_err(|error| error.to_string())?; + capture.source().map_err(|error| error.to_string()) +} + +/// Writes `source` under the guest target directory by content digest. +fn write(source: &str, target_dir: &str) -> Result { + let digest = hex::encode(Sha256::digest(source.as_bytes())); + let directory = Path::new(target_dir).join("immutable-recipes"); + fs::create_dir_all(&directory).map_err(|error| error.to_string())?; + let path = directory.join(format!("{digest}.rs")); + if !path.is_file() { + let temporary = directory.join(format!("{digest}.rs.tmp-{}", std::process::id())); + fs::write(&temporary, source.as_bytes()).map_err(|error| error.to_string())?; + fs::rename(&temporary, &path).map_err(|error| error.to_string())?; + } + Ok(path) +} diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 5c6e1d2035..d5caf20441 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1313,6 +1313,11 @@ fn verify_proofs( "Input size is too large" ); + // Immutable recipes: tables from a native verification of this stream, + // or empty tables (canonical path) when any proof does not verify. + #[cfg(feature = "immutable-recipes")] + let recipe_tables = + immutable_recipe_tables::prepare(&all_groups_data, "/tmp/jolt-guest-targets"); run_recursion_proof( guest, run_config, @@ -1320,6 +1325,8 @@ fn verify_proofs( memory_config, guest.get_max_trace_length(use_embed), ); + #[cfg(feature = "immutable-recipes")] + immutable_recipe_tables::release(recipe_tables); } fn main() { @@ -1442,6 +1449,8 @@ fn main() { #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] mod immutable_recipe_generation; +#[cfg(feature = "immutable-recipes")] +mod immutable_recipe_tables; #[cfg(not(feature = "immutable-recipes"))] macro_rules! immutable_recursion_program { From 0fd87bce437cdd059dbe0d7bd3a4e9a0ac117e2b Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:09 +0000 Subject: [PATCH 068/131] Key the guest ELF cache on the recipe tables file contents The optional verifier-guest ELF cache keyed on the environment and the example sources but not on the immutable recipe tables, so a hit could reuse an ELF built with other tables. The key now includes the sha256 of the bytes of the file named by JOLT_IMMUTABLE_RECIPES_RS (or a fixed marker when it is unset), by content and not by path. --- examples/recursion/src/main.rs | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index d5caf20441..c3d104440a 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1099,7 +1099,8 @@ const RECURSION_GUEST_CODEGEN: [(&str, &str); 3] = [ /// diff, every file under `examples/recursion` (the generated guest sources /// included), the Cargo git checkouts, the toolchain (`rustc -Vv`, `cargo -V`, /// the jolt CLI binary), this host binary (its features and build code), the -/// guest build environment (RUSTFLAGS, the guest-codegen variables) and the +/// guest build environment (RUSTFLAGS, the guest-codegen variables), the +/// bytes of the immutable recipe tables file (by content, not by path) and the /// target directory. `None` when any part cannot be read; the build then runs /// as usual. Tooling only: a hit reuses an ELF built from the same inputs. fn guest_elf_cache_key(target_dir: &str) -> Option { @@ -1116,6 +1117,7 @@ cargo -V sha256sum "$(command -v "${JOLT_PATH:-jolt}")" sha256sum "$2" env | grep -E '^(ZEROOS_GUEST_RUSTFLAGS|CARGO_PROFILE_[A-Z0-9_]*|RUSTFLAGS|CARGO_ENCODED_RUSTFLAGS|CARGO_BUILD_[A-Z0-9_]*|RECURSION_GUEST_CODEGEN|JOLT_FUNC_NAME)=' | sort || true +if [ -n "${JOLT_IMMUTABLE_RECIPES_RS:-}" ]; then echo immutable-recipes-tables; sha256sum < "$JOLT_IMMUTABLE_RECIPES_RS"; else echo immutable-recipes-tables-none; fi echo "$3" } | sha256sum | cut -c1-64 "#; From 4de139f81a33fcb5878982078b7c7e548b9dd2c5 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 18:30:17 +0000 Subject: [PATCH 069/131] docs(recursion): add immutable-recipes to the recursion reproduce commands The recursion flow's stock feature list is now akita,field-inline,ntt-inline,immutable-recipes. Cargo's default features are unchanged, and CI keeps its own feature list. --- examples/recursion/README.md | 4 ++-- specs/recursion-guest.md | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/examples/recursion/README.md b/examples/recursion/README.md index 3db7580f7c..1ccb991435 100644 --- a/examples/recursion/README.md +++ b/examples/recursion/README.md @@ -4,9 +4,9 @@ Generate an inner Fibonacci proof, then execute its verifier as a RISC-V guest: ```bash export RAYON_NUM_THREADS=1 RUST_MIN_STACK=268435456 CARGO_BUILD_JOBS=1 -cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ +cargo run --release -p recursion --features akita,field-inline,ntt-inline,immutable-recipes -- \ generate --example fibonacci --proofs 1 --workdir /tmp/jolt-recursion -cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ +cargo run --release -p recursion --features akita,field-inline,ntt-inline,immutable-recipes -- \ trace --example fibonacci --workdir /tmp/jolt-recursion ``` diff --git a/specs/recursion-guest.md b/specs/recursion-guest.md index 2631ce36af..2583274c27 100644 --- a/specs/recursion-guest.md +++ b/specs/recursion-guest.md @@ -301,9 +301,9 @@ represent that future merge. ```bash export RUST_LOG=info RAYON_NUM_THREADS=1 RUST_MIN_STACK=268435456 CARGO_BUILD_JOBS=1 -cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ +cargo run --release -p recursion --features akita,field-inline,ntt-inline,immutable-recipes -- \ generate --example fibonacci --workdir /tmp/recursion -cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ +cargo run --release -p recursion --features akita,field-inline,ntt-inline,immutable-recipes -- \ trace --embed --example fibonacci --workdir /tmp/recursion ``` From 15398cf5cbea90e01aa8ac05492f06e52d833b58 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 20:16:52 +0000 Subject: [PATCH 070/131] fix(claims): define the CircuitFlags recipe ids in the Spartan flag carrier The protocol boundary test confines field-inline feature gates to the common ISA flag carriers and the composed module. The recipe id list for CircuitFlags gated its field instruction flags in immutable_recipes/flags.rs. Move that list, unchanged, into a macro in protocols/jolt/geometry/spartan.rs, which already mirrors CircuitFlags with the same gates, and expand it from flags.rs as before. The generated impl and its tokens are unchanged. --- .../src/immutable_recipes/flags.rs | 37 +-------------- .../src/protocols/jolt/geometry/spartan.rs | 47 +++++++++++++++++++ 2 files changed, 48 insertions(+), 36 deletions(-) diff --git a/crates/jolt-claims/src/immutable_recipes/flags.rs b/crates/jolt-claims/src/immutable_recipes/flags.rs index 0b0158e530..4aef9b8493 100644 --- a/crates/jolt-claims/src/immutable_recipes/flags.rs +++ b/crates/jolt-claims/src/immutable_recipes/flags.rs @@ -1,42 +1,7 @@ use jolt_riscv::{CircuitFlags, InstructionFlags}; #[cfg(feature = "immutable-recipes")] -crate::recipe_id! { jolt_riscv; CircuitFlags { - AddOperands = 0, - SubtractOperands = 1, - MultiplyOperands = 2, - Load = 3, - Store = 4, - Jump = 5, - WriteLookupOutputToRD = 6, - VirtualInstruction = 7, - Assert = 8, - DoNotUpdateUnexpandedPC = 9, - Advice = 10, - IsCompressed = 11, - IsFirstInSequence = 12, - IsLastInSequence = 13, - #[cfg(feature = "field-inline")] - FieldAdd = 14, - #[cfg(feature = "field-inline")] - FieldSub = 15, - #[cfg(feature = "field-inline")] - FieldMul = 16, - #[cfg(feature = "field-inline")] - FieldInv = 17, - #[cfg(feature = "field-inline")] - FieldAssertEq = 18, - #[cfg(feature = "field-inline")] - FieldLoadAccumulateFromRegister = 19, - #[cfg(feature = "field-inline")] - FieldAssertZero = 20, - #[cfg(feature = "field-inline")] - FieldLoadImm = 21, - #[cfg(feature = "field-inline")] - FieldLoadAccumulateFromMemory = 22, - #[cfg(feature = "field-inline")] - FieldAdviceLimb = 23, -} } +crate::protocols::jolt::geometry::spartan::circuit_flags_recipe_id!(); #[cfg(feature = "immutable-recipes")] crate::recipe_id! { jolt_riscv; InstructionFlags { LeftOperandIsPC = 0, diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/spartan.rs b/crates/jolt-claims/src/protocols/jolt/geometry/spartan.rs index f703d0bcd2..a7b064a139 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/spartan.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/spartan.rs @@ -297,3 +297,50 @@ crate::recipe_shape!(SpartanOuterDimensions { #[cfg(feature = "immutable-recipes")] crate::recipe_shape!(SpartanProductDimensions { log_t }); + +/// Recipe identifiers of `CircuitFlags` for the immutable recipe keys. Like the +/// variable list above, the field instruction flags exist only with the +/// `field-inline` ISA feature. Expanded in `immutable_recipes::flags`. +#[cfg(feature = "immutable-recipes")] +macro_rules! circuit_flags_recipe_id { + () => { + crate::recipe_id! { jolt_riscv; CircuitFlags { + AddOperands = 0, + SubtractOperands = 1, + MultiplyOperands = 2, + Load = 3, + Store = 4, + Jump = 5, + WriteLookupOutputToRD = 6, + VirtualInstruction = 7, + Assert = 8, + DoNotUpdateUnexpandedPC = 9, + Advice = 10, + IsCompressed = 11, + IsFirstInSequence = 12, + IsLastInSequence = 13, + #[cfg(feature = "field-inline")] + FieldAdd = 14, + #[cfg(feature = "field-inline")] + FieldSub = 15, + #[cfg(feature = "field-inline")] + FieldMul = 16, + #[cfg(feature = "field-inline")] + FieldInv = 17, + #[cfg(feature = "field-inline")] + FieldAssertEq = 18, + #[cfg(feature = "field-inline")] + FieldLoadAccumulateFromRegister = 19, + #[cfg(feature = "field-inline")] + FieldAssertZero = 20, + #[cfg(feature = "field-inline")] + FieldLoadImm = 21, + #[cfg(feature = "field-inline")] + FieldLoadAccumulateFromMemory = 22, + #[cfg(feature = "field-inline")] + FieldAdviceLimb = 23, + } } + }; +} +#[cfg(feature = "immutable-recipes")] +pub(crate) use circuit_flags_recipe_id; From f98eacd1a562dd1c6d53f2a7b3b79cf375bd1ad2 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 21:40:58 +0000 Subject: [PATCH 071/131] style(recipes): use imported names for the immutable recipe paths Import the types, traits and constants that the immutable recipe code and its derive helpers spelled with qualified paths (syn and proc-macro types, fmt, io and slice types, PhantomData, the field-inline Fp128 modulus, the recipe key traits). Paths inside generated code are bound once with quote! so the expansions keep the same tokens. In the guest-compiled files the new imports are placed so that no existing line moves except after the last item that can panic. --- crates/jolt-claims-derive/src/lib.rs | 20 ++--- crates/jolt-claims-derive/src/recipe_items.rs | 14 ++-- .../jolt-claims-derive/src/record_generate.rs | 4 +- .../jolt-claims/src/immutable_recipes/mod.rs | 12 +-- .../src/immutable_recipes/record.rs | 32 +++----- crates/jolt-claims/src/protocols/jolt/ids.rs | 14 +++- crates/jolt-field/src/lib.rs | 15 ++-- crates/jolt-verifier-derive/src/lib.rs | 8 +- .../jolt-verifier-derive/src/recipe_method.rs | 81 +++++++++---------- .../src/immutable_recipe_generation.rs | 43 +++++----- 10 files changed, 118 insertions(+), 125 deletions(-) diff --git a/crates/jolt-claims-derive/src/lib.rs b/crates/jolt-claims-derive/src/lib.rs index ad79b3ca5b..a992a27f9d 100644 --- a/crates/jolt-claims-derive/src/lib.rs +++ b/crates/jolt-claims-derive/src/lib.rs @@ -866,28 +866,22 @@ fn expand_challenges(input: DeriveInput) -> Result { mod recipe_items; #[proc_macro] -pub fn immutable_recipe_items(input: proc_macro::TokenStream) -> proc_macro::TokenStream { +pub fn immutable_recipe_items(input: TokenStream) -> TokenStream { recipe_items::expand(input.into()) - .unwrap_or_else(syn::Error::into_compile_error) + .unwrap_or_else(Error::into_compile_error) .into() } mod record_generate; #[proc_macro_attribute] -pub fn record_generate( - arguments: proc_macro::TokenStream, - input: proc_macro::TokenStream, -) -> proc_macro::TokenStream { +pub fn record_generate(arguments: TokenStream, input: TokenStream) -> TokenStream { if !arguments.is_empty() { - return syn::Error::new( - proc_macro2::Span::call_site(), - "record_generate accepts no override", - ) - .into_compile_error() - .into(); + return Error::new(Span::call_site(), "record_generate accepts no override") + .into_compile_error() + .into(); } record_generate::expand(input.into()) - .unwrap_or_else(syn::Error::into_compile_error) + .unwrap_or_else(Error::into_compile_error) .into() } diff --git a/crates/jolt-claims-derive/src/recipe_items.rs b/crates/jolt-claims-derive/src/recipe_items.rs index 397cf9dfa2..452906a27e 100644 --- a/crates/jolt-claims-derive/src/recipe_items.rs +++ b/crates/jolt-claims-derive/src/recipe_items.rs @@ -1,11 +1,11 @@ -use proc_macro2::TokenStream; +use proc_macro2::{Span, TokenStream}; use quote::quote; -use syn::{parse2, parse_quote, Error, Fields, Item, ItemImpl, Type}; +use syn::{parse2, parse_quote, Error, Fields, File, Ident, Item, ItemImpl, Result, Type}; /// This dispatcher owns no relation formulas. Its input is the two adjacent /// canonical item pairs; unknown/missing/duplicate items reject compilation. -pub fn expand(input: TokenStream) -> syn::Result { - let mut file = parse2::(input)?; +pub fn expand(input: TokenStream) -> Result { + let mut file = parse2::(input)?; let mut structures = [false; 2]; let mut implementations = [false; 2]; for item in &mut file.items { @@ -58,14 +58,14 @@ pub fn expand(input: TokenStream) -> syn::Result { } if structures != [true; 2] || implementations != [true; 2] { return Err(Error::new( - proc_macro2::Span::call_site(), + Span::call_site(), "both exact recipe delegate pairs are required", )); } Ok(quote!(#file)) } -fn named(name: &syn::Ident) -> syn::Result { +fn named(name: &Ident) -> Result { match name.to_string().as_str() { "ProductRemainder" => Ok(0), "ReadRafAddressPhase" => Ok(1), @@ -73,7 +73,7 @@ fn named(name: &syn::Ident) -> syn::Result { } } -fn implementation(item: &ItemImpl) -> syn::Result { +fn implementation(item: &ItemImpl) -> Result { let Some((relation, _)) = &item.trait_ else { return Err(Error::new_spanned( item, diff --git a/crates/jolt-claims-derive/src/record_generate.rs b/crates/jolt-claims-derive/src/record_generate.rs index f7c82b7324..14d089abe9 100644 --- a/crates/jolt-claims-derive/src/record_generate.rs +++ b/crates/jolt-claims-derive/src/record_generate.rs @@ -1,12 +1,12 @@ use proc_macro2::TokenStream; use quote::quote; -use syn::{parse2, parse_quote, Error, Expr, ItemFn, Pat, Stmt}; +use syn::{parse2, parse_quote, Error, Expr, ItemFn, Pat, Result, Stmt}; fn path(expression: &Expr, name: &str) -> bool { matches!(expression, Expr::Path(value) if value.path.is_ident(name)) } -pub fn expand(input: TokenStream) -> syn::Result { +pub fn expand(input: TokenStream) -> Result { let mut function: ItemFn = parse2(input)?; if function.sig.ident != "collect_guest_proofs" { return Err(Error::new_spanned( diff --git a/crates/jolt-claims/src/immutable_recipes/mod.rs b/crates/jolt-claims/src/immutable_recipes/mod.rs index e69726ac27..a60a2ae050 100644 --- a/crates/jolt-claims/src/immutable_recipes/mod.rs +++ b/crates/jolt-claims/src/immutable_recipes/mod.rs @@ -7,12 +7,12 @@ pub mod record; pub use key::{KeySink, KeyVisit}; /// Exact source-owned base eligibility for generic composed relations. pub struct BasePermit { - marker: std::marker::PhantomData S>, + marker: PhantomData S>, } impl BasePermit { pub(crate) fn new() -> Self { Self { - marker: std::marker::PhantomData, + marker: PhantomData, } } } @@ -20,7 +20,7 @@ impl BasePermit { use crate::{Expr, Source, Term}; use jolt_field::{ImmutableRecipeField, Ring, IMMUTABLE_RECIPE_MODULUS}; use std::cmp::Ordering; -use std::collections::BTreeSet; +use std::{collections::BTreeSet, marker::PhantomData, slice::Iter}; #[derive(Clone, Copy, Debug, PartialEq, Eq, PartialOrd, Ord)] pub enum Phase { @@ -191,7 +191,7 @@ pub struct Recipe<'a, F, O, D, C> { } struct CompareKey<'a> { - words: std::slice::Iter<'a, u64>, + words: Iter<'a, u64>, order: Ordering, } impl KeySink for CompareKey<'_> { @@ -249,7 +249,7 @@ pub(crate) fn find<'a, F: Ring, O, D, C>( } enum Factors<'a, O, D, C> { - Canonical(std::slice::Iter<'a, Source>), + Canonical(Iter<'a, Source>), Compact { words: &'a [u64], sources: &'a [Source], @@ -294,7 +294,7 @@ struct TermView<'a, F, O, D, C> { factors: Factors<'a, O, D, C>, } enum Terms<'a, F, O, D, C> { - Canonical(std::slice::Iter<'a, Term>), + Canonical(Iter<'a, Term>), Compact { record: &'a Record<'a, O, D, C>, term: usize, diff --git a/crates/jolt-claims/src/immutable_recipes/record.rs b/crates/jolt-claims/src/immutable_recipes/record.rs index ffbf217393..e8eb42ca6a 100644 --- a/crates/jolt-claims/src/immutable_recipes/record.rs +++ b/crates/jolt-claims/src/immutable_recipes/record.rs @@ -8,8 +8,9 @@ use crate::protocols::field_inline::{ use crate::protocols::jolt::{JoltChallengeId, JoltDerivedId, JoltOpeningId}; use crate::{Expr, Source}; use jolt_field::Ring; +use serde::Serializer; use std::collections::BTreeSet; -use std::fmt::{self, Write}; +use std::fmt::{Error as FmtError, Result as FmtResult, Write}; use std::marker::PhantomData; use std::rc::Rc; use std::sync::{Mutex, MutexGuard}; @@ -121,16 +122,16 @@ fn detail(value: usize) -> u64 { /// Implemented by exhaustive identifier matches, never by Debug output. pub trait RenderId { - fn render(&self, writer: &mut dyn Write) -> fmt::Result; + fn render(&self, writer: &mut dyn Write) -> FmtResult; } impl RenderId for usize { - fn render(&self, writer: &mut dyn Write) -> fmt::Result { + fn render(&self, writer: &mut dyn Write) -> FmtResult { write!(writer, "{self}usize") } } impl RenderId for () { - fn render(&self, writer: &mut dyn Write) -> fmt::Result { + fn render(&self, writer: &mut dyn Write) -> FmtResult { writer.write_str("()") } } @@ -647,25 +648,19 @@ struct SourceText { value: String, } impl Write for SourceText { - fn write_str(&mut self, value: &str) -> fmt::Result { - let length = self - .value - .len() - .checked_add(value.len()) - .ok_or(fmt::Error)?; + fn write_str(&mut self, value: &str) -> FmtResult { + let length = self.value.len().checked_add(value.len()).ok_or(FmtError)?; if length > MAX_BYTES { - return Err(fmt::Error); + return Err(FmtError); } - self.value - .try_reserve(value.len()) - .map_err(|_| fmt::Error)?; + self.value.try_reserve(value.len()).map_err(|_| FmtError)?; self.value.push_str(value); Ok(()) } } impl NativeRecord { - fn render(&self, writer: &mut dyn Write) -> fmt::Result { + fn render(&self, writer: &mut dyn Write) -> FmtResult { writer.write_str("match Record::new(&[")?; for word in &self.key { write!(writer, "{word}u64,")?; @@ -733,7 +728,7 @@ impl Capture { Ok(writer.value) } - fn render_source(&self, writer: &mut dyn Write) -> fmt::Result { + fn render_source(&self, writer: &mut dyn Write) -> FmtResult { writer.write_str("use crate::Source;\n")?; for family in ["JOLT", "COMPOSED", "FIELD"] { let table = match family { @@ -777,10 +772,7 @@ pub struct RecordIdentity<'a> { /// Canonical coefficients are field elements up to 128 bits; JSON numbers cannot /// carry them exactly, so the capture receipt writes them as decimal strings. -fn decimal_strings( - values: &&[u128], - serializer: S, -) -> Result { +fn decimal_strings(values: &&[u128], serializer: S) -> Result { serializer.collect_seq(values.iter().map(u128::to_string)) } diff --git a/crates/jolt-claims/src/protocols/jolt/ids.rs b/crates/jolt-claims/src/protocols/jolt/ids.rs index 079ce68671..5bac0866b2 100644 --- a/crates/jolt-claims/src/protocols/jolt/ids.rs +++ b/crates/jolt-claims/src/protocols/jolt/ids.rs @@ -707,8 +707,10 @@ crate::recipe_id! { crate::protocols::jolt; BytecodeClaimReductionChallenge { Eta = 0, } } #[cfg(feature = "immutable-recipes")] -impl crate::immutable_recipes::KeyVisit for RetiredIdentifier { - fn visit(&self, _sink: &mut dyn crate::immutable_recipes::KeySink) -> bool { +use crate::immutable_recipes::{KeySink, KeyVisit}; +#[cfg(feature = "immutable-recipes")] +impl KeyVisit for RetiredIdentifier { + fn visit(&self, _sink: &mut dyn KeySink) -> bool { match *self {} } } @@ -921,8 +923,12 @@ crate::recipe_id! { crate::protocols::jolt; JoltDerivedId { } } #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] -impl crate::immutable_recipes::record::RenderId for RetiredIdentifier { - fn render(&self, _writer: &mut dyn std::fmt::Write) -> std::fmt::Result { +use crate::immutable_recipes::record::RenderId; +#[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] +use std::fmt::{Result as FmtResult, Write}; +#[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] +impl RenderId for RetiredIdentifier { + fn render(&self, _writer: &mut dyn Write) -> FmtResult { match *self {} } } diff --git a/crates/jolt-field/src/lib.rs b/crates/jolt-field/src/lib.rs index 3ba614a632..bc4737c2f2 100644 --- a/crates/jolt-field/src/lib.rs +++ b/crates/jolt-field/src/lib.rs @@ -238,37 +238,42 @@ macro_rules! immutable_recipe_fp128_methods { }; } +#[cfg(all(feature = "immutable-recipes", feature = "solinas"))] +use solinas::FIELD_INLINE_FP128_MODULUS; +#[cfg(feature = "immutable-recipes")] +use std::marker::PhantomData; + /// Proof of the exact field implementation and active RV64 selector. Downstream /// Ring implementations cannot construct this capability for their own Self. #[cfg(feature = "immutable-recipes")] #[derive(Clone, Copy)] pub struct ImmutableRecipeField { - marker: std::marker::PhantomData F>, + marker: PhantomData F>, } #[cfg(feature = "immutable-recipes")] impl ImmutableRecipeField { pub(crate) fn new() -> Self { Self { - marker: std::marker::PhantomData, + marker: PhantomData, } } } #[cfg(all(feature = "immutable-recipes", feature = "solinas"))] -pub const IMMUTABLE_RECIPE_MODULUS: u128 = solinas::FIELD_INLINE_FP128_MODULUS; +pub const IMMUTABLE_RECIPE_MODULUS: u128 = FIELD_INLINE_FP128_MODULUS; /// Native canonical export eligibility, separate from guest recipe eligibility. #[cfg(feature = "immutable-recipes")] #[derive(Clone, Copy)] pub struct ImmutableRecipeNativeField { - marker: std::marker::PhantomData F>, + marker: PhantomData F>, } #[cfg(feature = "immutable-recipes")] impl ImmutableRecipeNativeField { pub(crate) fn new() -> Self { Self { - marker: std::marker::PhantomData, + marker: PhantomData, } } } diff --git a/crates/jolt-verifier-derive/src/lib.rs b/crates/jolt-verifier-derive/src/lib.rs index 9f4ceaf802..f4708e45c4 100644 --- a/crates/jolt-verifier-derive/src/lib.rs +++ b/crates/jolt-verifier-derive/src/lib.rs @@ -132,7 +132,7 @@ use proc_macro::TokenStream; use proc_macro2::TokenStream as TokenStream2; use quote::{format_ident, quote}; use syn::{ - parse_macro_input, parse_quote, Attribute, Data, DeriveInput, Fields, GenericArgument, + parse_macro_input, parse_quote, Attribute, Data, DeriveInput, Error, Fields, GenericArgument, GenericParam, Ident, ItemFn, Meta, PathArguments, Token, Type, }; @@ -1435,7 +1435,7 @@ mod recipe_method; #[proc_macro_attribute] pub fn recipe_method(arguments: TokenStream, item: TokenStream) -> TokenStream { recipe_method::expand(arguments.into(), item.into()) - .unwrap_or_else(syn::Error::into_compile_error) + .unwrap_or_else(Error::into_compile_error) .into() } @@ -1445,7 +1445,7 @@ fn fixed_recipe_method( profile: TokenStream2, ) -> TokenStream { if !arguments.is_empty() { - return syn::Error::new_spanned( + return Error::new_spanned( TokenStream2::from(arguments), "fixed recipe attribute accepts no arguments", ) @@ -1453,7 +1453,7 @@ fn fixed_recipe_method( .into(); } recipe_method::expand(profile, item.into()) - .unwrap_or_else(syn::Error::into_compile_error) + .unwrap_or_else(Error::into_compile_error) .into() } diff --git a/crates/jolt-verifier-derive/src/recipe_method.rs b/crates/jolt-verifier-derive/src/recipe_method.rs index 35ee4371ea..07850c0837 100644 --- a/crates/jolt-verifier-derive/src/recipe_method.rs +++ b/crates/jolt-verifier-derive/src/recipe_method.rs @@ -10,45 +10,43 @@ use syn::punctuated::Punctuated; #[cfg(any(feature = "immutable-recipes", test))] use syn::visit_mut::{self, VisitMut}; #[cfg(any(feature = "immutable-recipes", test))] -use syn::{parse_quote, Expr, ExprLit, FnArg, ImplItemFn, Lit, MetaNameValue, ReturnType, Token}; +use syn::{ + parse_quote, Expr, ExprLit, FnArg, ImplItem, ImplItemFn, ItemImpl, Lit, MetaNameValue, + ReturnType, Token, +}; +use syn::{Error, Path, Result}; /// Without the feature the recipe attributes are never applied (every use is /// `cfg_attr(feature = "immutable-recipes", ..)`), so this only reports misuse. #[cfg(not(any(feature = "immutable-recipes", test)))] -pub(crate) fn expand(_arguments: TokenStream, _original: TokenStream) -> syn::Result { - Err(syn::Error::new( +pub(crate) fn expand(_arguments: TokenStream, _original: TokenStream) -> Result { + Err(Error::new( Span::call_site(), "recipe expansion requires the immutable-recipes feature", )) } #[cfg(any(feature = "immutable-recipes", test))] -pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> syn::Result { +pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> Result { let mut expected = BTreeMap::new(); let mut returns_set = false; for option in Punctuated::::parse_terminated.parse2(arguments)? { let name = option .path .get_ident() - .ok_or_else(|| syn::Error::new_spanned(&option, "expected seam name"))? + .ok_or_else(|| Error::new_spanned(&option, "expected seam name"))? .to_string(); let Expr::Lit(ExprLit { lit: Lit::Int(value), .. }) = &option.value else { - return Err(syn::Error::new_spanned( - &option, - "seam count must be a literal", - )); + return Err(Error::new_spanned(&option, "seam count must be a literal")); }; let count = value.base10_parse::()?; if name == "returns_set" { if count != 1 || returns_set { - return Err(syn::Error::new_spanned( - &option, - "invalid set result option", - )); + return Err(Error::new_spanned(&option, "invalid set result option")); } returns_set = true; } else if !matches!( @@ -65,12 +63,9 @@ pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> syn::Resu | "call_expected_final_claim" | "call_validate_member_output_shape" ) { - return Err(syn::Error::new_spanned(&option, "unknown recipe seam")); + return Err(Error::new_spanned(&option, "unknown recipe seam")); } else if count == 0 || expected.insert(name, count).is_some() { - return Err(syn::Error::new_spanned( - &option, - "duplicate or zero seam count", - )); + return Err(Error::new_spanned(&option, "duplicate or zero seam count")); } } let mut selected: ImplItemFn = syn::parse2(original.clone())?; @@ -84,7 +79,7 @@ pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> syn::Resu return Err(error); } if transform.counts != expected { - return Err(syn::Error::new( + return Err(Error::new( Span::call_site(), format!( "recipe seam inventory mismatch: expected {expected:?}, observed {:?}", @@ -97,18 +92,20 @@ pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> syn::Resu selected.sig.inputs.first(), Some(FnArg::Receiver(_)) )); - selected.sig.inputs.insert( - offset, - parse_quote!(__recipe_context: &crate::immutable_recipes::RecipeContext<'_>), - ); + let recipe_context = quote!(crate::immutable_recipes::RecipeContext); + selected + .sig + .inputs + .insert(offset, parse_quote!(__recipe_context: &#recipe_context<'_>)); if returns_set { let ReturnType::Type(_, ty) = &selected.sig.output else { - return Err(syn::Error::new_spanned( + return Err(Error::new_spanned( &selected.sig, "set method has no return type", )); }; - selected.sig.output = parse_quote!(-> Result<#ty, crate::VerifierError>); + let verifier_error = quote!(crate::VerifierError); + selected.sig.output = parse_quote!(-> Result<#ty, #verifier_error>); let body = selected.block; selected.block = parse_quote!({ let __recipe_set = #body; Ok(__recipe_set) }); } @@ -119,7 +116,7 @@ pub(crate) fn expand(arguments: TokenStream, original: TokenStream) -> syn::Resu struct Transform { counts: BTreeMap, declared: BTreeMap, - errors: Option, + errors: Option, } #[cfg(any(feature = "immutable-recipes", test))] @@ -128,7 +125,7 @@ impl Transform { *self.counts.entry(name.to_owned()).or_default() += 1; } fn reject(&mut self, expression: &Expr, reason: &str) { - let error = syn::Error::new_spanned(expression, reason); + let error = Error::new_spanned(expression, reason); if let Some(previous) = &mut self.errors { previous.combine(error); } else { @@ -168,11 +165,12 @@ impl VisitMut for Transform { let relation = &construction.receiver; let method = &construction.method; let arguments = call.args.iter(); + let phase_type = quote!(::jolt_claims::immutable_recipes::Phase); *expression = parse_quote!({ use crate::immutable_recipes::RecipeEvaluation as _; let __recipe_symbolic = &(#relation); __recipe_symbolic.evaluate_recipe::<#field>( - ::jolt_claims::immutable_recipes::Phase::#phase, + #phase_type::#phase, __recipe_context, || __recipe_symbolic.#method #types (), #(#arguments),*, ) }); @@ -244,8 +242,8 @@ impl VisitMut for Transform { pub(crate) fn batch_companions( driver: TokenStream, _members: usize, - _krate: &syn::Path, -) -> syn::Result { + _krate: &Path, +) -> Result { Ok(driver) } @@ -254,17 +252,17 @@ pub(crate) fn batch_companions( pub(crate) fn batch_companions( driver: TokenStream, members: usize, - krate: &syn::Path, -) -> syn::Result { + krate: &Path, +) -> Result { // Only the verifier's internal derives own this feature and context API. // External/default consumers retain their original expansion verbatim. if !krate.is_ident("crate") { return Ok(driver); } - let item: syn::ItemImpl = syn::parse2(driver.clone())?; + let item: ItemImpl = syn::parse2(driver.clone())?; let mut companions = Vec::new(); for method in &item.items { - let syn::ImplItem::Fn(method) = method else { + let ImplItem::Fn(method) = method else { continue; }; let arguments = match method.sig.ident.to_string().as_str() { @@ -275,9 +273,9 @@ pub(crate) fn batch_companions( _ => continue, }; let pair = expand(arguments, quote!(#method))?; - let parsed: syn::ItemImpl = syn::parse2(quote!(impl Example { #pair }))?; - let Some(syn::ImplItem::Fn(mut selected)) = parsed.items.last().cloned() else { - return Err(syn::Error::new_spanned( + let parsed: ItemImpl = syn::parse2(quote!(impl Example { #pair }))?; + let Some(ImplItem::Fn(mut selected)) = parsed.items.last().cloned() else { + return Err(Error::new_spanned( method, "missing selected batch companion", )); @@ -288,7 +286,7 @@ pub(crate) fn batch_companions( Some(FnArg::Receiver(_)) )); let Some(argument) = selected.sig.inputs.iter_mut().nth(offset) else { - return Err(syn::Error::new_spanned( + return Err(Error::new_spanned( method, "missing recipe context argument", )); @@ -300,7 +298,7 @@ pub(crate) fn batch_companions( companions.push(selected); } let mut selected_impl = item; - selected_impl.items = companions.into_iter().map(syn::ImplItem::Fn).collect(); + selected_impl.items = companions.into_iter().map(ImplItem::Fn).collect(); selected_impl .attrs .push(parse_quote!(#[cfg(feature = "immutable-recipes")])); @@ -312,6 +310,7 @@ pub(crate) fn batch_companions( mod tests { use super::expand; use quote::quote; + use syn::{ImplItem, ItemImpl}; #[test] fn trailing_callback_comma_produces_two_parseable_methods() { @@ -323,14 +322,14 @@ mod tests { } }; let expanded = expand(quote!(output = 1), original).expect("literal parser fixture"); - let implementation: syn::ItemImpl = + let implementation: ItemImpl = syn::parse2(quote!(impl Fixture { #expanded })).expect("generated methods parse"); assert_eq!(implementation.items.len(), 2); let selected = implementation .items .last() .and_then(|item| match item { - syn::ImplItem::Fn(selected) => Some(selected), + ImplItem::Fn(selected) => Some(selected), _ => None, }) .expect("selected method missing"); diff --git a/examples/recursion/src/immutable_recipe_generation.rs b/examples/recursion/src/immutable_recipe_generation.rs index aa47c65bd5..f3f70677b9 100644 --- a/examples/recursion/src/immutable_recipe_generation.rs +++ b/examples/recursion/src/immutable_recipe_generation.rs @@ -8,10 +8,11 @@ use serde::Serialize; use sha2::{Digest, Sha256}; use std::error::Error; use std::fs::{self, OpenOptions}; -use std::io::{self, Write}; +use std::io::{Error as IoError, Write}; use std::path::PathBuf; +use std::result::Result as StdResult; -type Result = std::result::Result>; +type Result = StdResult>; #[derive(Serialize)] struct Context { @@ -42,9 +43,7 @@ pub(crate) struct Request { impl Request { pub(crate) fn observe_trace(&mut self, trace_length: usize) -> Result<()> { if trace_length == 0 || self.trace_length.replace(trace_length).is_some() { - return Err( - io::Error::other("exactly one nonempty canonical trace is required").into(), - ); + return Err(IoError::other("exactly one nonempty canonical trace is required").into()); } Ok(()) } @@ -77,17 +76,16 @@ pub(crate) fn request( }; let output = PathBuf::from(output); if !output.is_absolute() || output.exists() { - return Err(io::Error::other("recipe output must be a fresh absolute directory").into()); + return Err(IoError::other("recipe output must be a fresh absolute directory").into()); } if mode != ProgramPreprocessingMode::Full || guest != GuestProgram::Fibonacci || proofs != 1 { - return Err(io::Error::other( - "recipe generation requires exactly one Full Fibonacci proof", - ) - .into()); + return Err( + IoError::other("recipe generation requires exactly one Full Fibonacci proof").into(), + ); } if AkitaField::immutable_recipe_native_field().is_none() { return Err( - io::Error::other("native recipe generation requires the admitted Fp128 type").into(), + IoError::other("native recipe generation requires the admitted Fp128 type").into(), ); } let scalar: u32 = std::env::var("RECURSION_FIB_N")?.parse()?; @@ -121,7 +119,7 @@ pub(crate) fn begin( ) -> Option { request.map(|request| { let session = if n != 1 || actual_count != 1 { - Err(io::Error::other("canonical generation proof count changed").into()) + Err(IoError::other("canonical generation proof count changed").into()) } else { Session::begin().map_err(Into::into) }; @@ -142,10 +140,10 @@ impl Pending { ) -> Result { let capture = self.session?.finish()?; let [(proof, public_io)] = records else { - return Err(io::Error::other("canonical generation proof count changed").into()); + return Err(IoError::other("canonical generation proof count changed").into()); }; if !matches!(proof.trace_length, 4096 | 1048576) { - return Err(io::Error::other( + return Err(IoError::other( "canonical generation is outside the two admitted padded sizes", ) .into()); @@ -153,16 +151,15 @@ impl Pending { let actual_trace_length = self .request .trace_length - .ok_or_else(|| io::Error::other("canonical unpadded trace observation missing"))?; + .ok_or_else(|| IoError::other("canonical unpadded trace observation missing"))?; let proof_bytes = bincode::serde::encode_to_vec(proof, bincode::config::standard())?; let public_io_bytes = bincode::serde::encode_to_vec(public_io, bincode::config::standard())?; let setup_bytes = bincode::serde::encode_to_vec(setup, bincode::config::standard())?; if public_io.inputs != self.request.input { - return Err(io::Error::other( - "accepted public input differs from the pre-trace request", - ) - .into()); + return Err( + IoError::other("accepted public input differs from the pre-trace request").into(), + ); } let executable = fs::read(std::env::current_exe()?)?; Ok(Ready { @@ -238,16 +235,16 @@ pub(crate) fn publish(pending: Option>, stream: &[u8]) -> Result<( }))?; let context = serde_json::to_vec_pretty(&ready.context)?; if ready.output.exists() { - return Err(io::Error::other("recipe output already exists").into()); + return Err(IoError::other("recipe output already exists").into()); } let parent = ready .output .parent() - .ok_or_else(|| io::Error::other("recipe output has no parent"))?; + .ok_or_else(|| IoError::other("recipe output has no parent"))?; let name = ready .output .file_name() - .ok_or_else(|| io::Error::other("recipe output has no name"))?; + .ok_or_else(|| IoError::other("recipe output has no name"))?; let mut temporary_name = name.to_os_string(); temporary_name.push(format!(".staging-{}", std::process::id())); let temporary = parent.join(temporary_name); @@ -264,7 +261,7 @@ pub(crate) fn publish(pending: Option>, stream: &[u8]) -> Result<( manifest.push_str(&staging.write("input.bin", &ready.input)?); let _ = staging.write("SHA256SUMS", manifest.as_bytes())?; if ready.output.exists() { - return Err(io::Error::other("recipe output appeared during staging").into()); + return Err(IoError::other("recipe output appeared during staging").into()); } fs::rename(&staging.path, &ready.output)?; staging.published = true; From 48538b3b1e1c4639a32a0941e203c9d7f7668f3d Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 22:20:44 +0000 Subject: [PATCH 072/131] style(toml): taplo-format the jolt-akita, jolt-claims, jolt-transcript and jolt-verifier manifests --- crates/jolt-akita/Cargo.toml | 5 ++++- crates/jolt-claims/Cargo.toml | 7 ++++++- crates/jolt-transcript/Cargo.toml | 4 +++- crates/jolt-verifier/Cargo.toml | 10 ++++++++-- 4 files changed, 21 insertions(+), 5 deletions(-) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 5f46382dd1..9fe873b732 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -9,7 +9,10 @@ description = "Akita batch opening adapter for the Jolt zkVM" workspace = true [features] -terminal-contraction = ["akita-pcs/terminal-contraction", "jolt-field/terminal-contraction"] +terminal-contraction = [ + "akita-pcs/terminal-contraction", + "jolt-field/terminal-contraction", +] segment-setup = ["akita-pcs/segment-setup"] default = ["parallel"] # Akita's rayon-backed kernels and backend thread pool. A single-core zkVM diff --git a/crates/jolt-claims/Cargo.toml b/crates/jolt-claims/Cargo.toml index 769e3c75b3..f7d780a14f 100644 --- a/crates/jolt-claims/Cargo.toml +++ b/crates/jolt-claims/Cargo.toml @@ -17,7 +17,12 @@ blake2-inline = ["dep:jolt-inlines-blake2", "jolt-inlines-blake2/digest"] allocative = ["dep:allocative"] field-inline = ["jolt-lookup-tables/field-inline"] test-utils = [] -immutable-recipes = ["akita", "field-inline", "jolt-field/immutable-recipes", "jolt-field/solinas"] +immutable-recipes = [ + "akita", + "field-inline", + "jolt-field/immutable-recipes", + "jolt-field/solinas", +] immutable-recipes-record = ["immutable-recipes"] [dependencies] diff --git a/crates/jolt-transcript/Cargo.toml b/crates/jolt-transcript/Cargo.toml index 6d78749092..dd39a9b166 100644 --- a/crates/jolt-transcript/Cargo.toml +++ b/crates/jolt-transcript/Cargo.toml @@ -42,7 +42,9 @@ jolt-field = { path = "../jolt-field", default-features = false } rand = { workspace = true, features = ["std_rng"], optional = true } [dev-dependencies] -jolt-field = { path = "../jolt-field", default-features = false, features = ["solinas"] } +jolt-field = { path = "../jolt-field", default-features = false, features = [ + "solinas", +] } criterion = { workspace = true } [[bench]] diff --git a/crates/jolt-verifier/Cargo.toml b/crates/jolt-verifier/Cargo.toml index aab19a561f..f4e576362e 100644 --- a/crates/jolt-verifier/Cargo.toml +++ b/crates/jolt-verifier/Cargo.toml @@ -20,8 +20,14 @@ default = ["transcript-blake2b"] allocative = ["dep:allocative", "jolt-claims/allocative"] prover-fixtures = [] fs-audit = [] -immutable-recipes = ["jolt-claims/immutable-recipes", "jolt-verifier-derive/immutable-recipes"] -immutable-recipes-record = ["immutable-recipes", "jolt-claims/immutable-recipes-record"] +immutable-recipes = [ + "jolt-claims/immutable-recipes", + "jolt-verifier-derive/immutable-recipes", +] +immutable-recipes-record = [ + "immutable-recipes", + "jolt-claims/immutable-recipes-record", +] fuzzing = [] field-inline = [ "common/field-inline", From 8247c90de216891ded2ddfa1ec685d0313672e2d Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 22:21:35 +0000 Subject: [PATCH 073/131] test(fs): inventory the word-transcript append_scalars absorption site append_scalars has a word-sized branch under the word-transcript feature that absorbs the same message bytes (label word, then each scalar big-endian) with one append_bytes call. The source inventory sees it as a second site; record it next to the default branch's site. --- crates/jolt-verifier/tests/fs_inventory/absorb-sites.inventory | 1 + 1 file changed, 1 insertion(+) diff --git a/crates/jolt-verifier/tests/fs_inventory/absorb-sites.inventory b/crates/jolt-verifier/tests/fs_inventory/absorb-sites.inventory index 289209a6ed..5c9e980528 100644 --- a/crates/jolt-verifier/tests/fs_inventory/absorb-sites.inventory +++ b/crates/jolt-verifier/tests/fs_inventory/absorb-sites.inventory @@ -150,6 +150,7 @@ jolt-transcript::legacy.rs::Transcript::append::append_to_transcript#0::value.ap jolt-transcript::legacy.rs::Transcript::append_labeled::append#0::self.append(&Label(label)) jolt-transcript::legacy.rs::Transcript::append_labeled::append#1::self.append(value) jolt-transcript::legacy.rs::Transcript::append_scalars::append_bytes#0::self.append_bytes(&message) +jolt-transcript::legacy.rs::Transcript::append_scalars::append_bytes#1::self.append_bytes(&message) jolt-transcript::legacy.rs::Transcript::append_values::append#0::self.append(&LabelWithCount(label,values.len()asu64)) jolt-transcript::legacy.rs::Transcript::append_values::append#1::self.append(value) jolt-transcript::legacy.rs::U64Word::append_to_transcript::append_bytes#0::transcript.append_bytes(&packed) From b84d8c005c76246c9d83a37dc992b18487941ee5 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 22:44:34 +0000 Subject: [PATCH 074/131] style(toml): taplo-format the recursion example, its guest and jolt-sdk manifests --- examples/recursion/Cargo.toml | 26 ++++++++++++++++++++++++-- examples/recursion/guest/Cargo.toml | 11 +++++++++-- jolt-sdk/Cargo.toml | 5 ++++- 3 files changed, 37 insertions(+), 5 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index a986fc6767..bf8f7d02ab 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -10,7 +10,17 @@ path = "src/main.rs" [features] terminal-contraction = ["jolt-akita?/terminal-contraction"] segment-setup = ["jolt-akita?/segment-setup"] -immutable-recipes = ["akita", "field-inline", "jolt-sdk/immutable-recipes", "jolt-sdk/immutable-recipes-record", "dep:jolt-claims", "jolt-claims/immutable-recipes-record", "dep:jolt-field", "dep:sha2", "dep:hex"] +immutable-recipes = [ + "akita", + "field-inline", + "jolt-sdk/immutable-recipes", + "jolt-sdk/immutable-recipes-record", + "dep:jolt-claims", + "jolt-claims/immutable-recipes-record", + "dep:jolt-field", + "dep:sha2", + "dep:hex", +] immutable-recipes-record = ["immutable-recipes", "dep:serde_json"] word-memory = [] ntt-inline = ["akita", "dep:jolt-inlines-ntt"] @@ -57,7 +67,19 @@ akita = [ # weighted-dot-horner: the verifier guest evaluates each weighted dot whose 64 # powers are geometric, with at least five rows, by a five-row reverse Horner # recurrence in field registers; same field values. Default on. -default = ["l3-compression-weights", "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", "tensor-no-carry", "rowptr-registers", "tensor-eq-runs", "setup-sop-structured", "segment-setup", "weighted-dot-horner"] +default = [ + "l3-compression-weights", + "l2-terminal-quotient", + "word-decode", + "word-memory", + "guest-codegen", + "tensor-no-carry", + "rowptr-registers", + "tensor-eq-runs", + "setup-sop-structured", + "segment-setup", + "weighted-dot-horner", +] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 23855131a4..984d715236 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -4,9 +4,16 @@ version = "0.1.0" edition = "2021" [features] -terminal-contraction = ["jolt-akita?/terminal-contraction", "jolt-field/terminal-contraction"] +terminal-contraction = [ + "jolt-akita?/terminal-contraction", + "jolt-field/terminal-contraction", +] segment-setup = ["jolt-akita?/segment-setup"] -immutable-recipes = ["akita", "field-inline-fp128", "jolt_sdk/immutable-recipes"] +immutable-recipes = [ + "akita", + "field-inline-fp128", + "jolt_sdk/immutable-recipes", +] ntt-inline = ["akita", "jolt-akita/ntt-inline"] guest = [] word-memory = ["jolt_sdk/word-memory"] diff --git a/jolt-sdk/Cargo.toml b/jolt-sdk/Cargo.toml index 2db1457488..8018d77619 100644 --- a/jolt-sdk/Cargo.toml +++ b/jolt-sdk/Cargo.toml @@ -16,7 +16,10 @@ edition = "2021" [features] immutable-recipes = ["jolt-verifier?/immutable-recipes"] -immutable-recipes-record = ["immutable-recipes", "jolt-verifier?/immutable-recipes-record"] +immutable-recipes-record = [ + "immutable-recipes", + "jolt-verifier?/immutable-recipes-record", +] default = ["jolt-platform/random"] # std guests: route Rust allocations to jolt-platform's O(1) size-class # arena instead of musl's malloc over ZeroOS's first-fit heap. From 29e90cc9e32c73eaa8ead2c8f84e9f0ec69e4024 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 22:45:53 +0000 Subject: [PATCH 075/131] style(recursion): import std::process::Command in the guest ELF cache key --- examples/recursion/src/main.rs | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index c3d104440a..9edbadbd4c 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -20,6 +20,7 @@ use jolt_sdk::{JoltProverPreprocessing, JoltVerifierPreprocessing, RV64IMACProof use serde::{de::DeserializeOwned, Serialize}; use std::cmp::PartialEq; use std::path::{Path, PathBuf}; +use std::process::Command; use std::sync::Arc; use std::time::Instant; use tracing::info; @@ -1123,7 +1124,7 @@ echo "$3" "#; let repo = Path::new(env!("CARGO_MANIFEST_DIR")).join("../.."); let exe = std::env::current_exe().ok()?; - let output = std::process::Command::new("sh") + let output = Command::new("sh") .arg("-c") .arg(SCRIPT) .arg("sh") From 6d17a84e18f21e66914dc74a56990ea66c291e3d Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 04:38:42 +0000 Subject: [PATCH 076/131] build(akita): move the Akita pin to bcc1f30c bcc1f30c is the previous pin 334379a1 plus five Akita commits: the fused setup-scan job, its job loop and its row collection kept inline when terminal-contraction is enabled, and an optional, default-off rebuild of a byte-equal verifier view from prevalidated values (prevalidated-catalog). Only the pin and the lockfile sources change. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 27 ++++++++++++++------------- 2 files changed, 30 insertions(+), 29 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index a087522923..183877eae8 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=334379a114f33bef9fd10b58e5cff25607fc934e#334379a114f33bef9fd10b58e5cff25607fc934e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 594ed1990c..f4c2d9e361 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,21 +306,22 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit 334379a1, the previous pin f238e0e2 (178e2f0f, that is -# a6a34dcf plus the change in LayerZero-Labs/akita#274 and line-neutral rustfmt -# skip attributes, plus the change in LayerZero-Labs/akita#276) plus the optional -# segment-setup and terminal-contraction scans, fetched from LayerZero-Labs/akita +# Akita pin: commit bcc1f30c, the previous pin 334379a1 (f238e0e2, that is +# 178e2f0f plus the change in LayerZero-Labs/akita#276, plus the optional +# segment-setup and terminal-contraction scans) plus the fused setup-scan job +# kept inline under terminal-contraction and the optional prevalidated verifier +# view rebuild (prevalidated-catalog), fetched from LayerZero-Labs/akita # by hash. Repin to the merge commit on markos/recursion-integration once those # changes land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "334379a114f33bef9fd10b58e5cff25607fc934e", default-features = false } +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From 302967504134e271cc1ba2813b7c0feeaf318b29 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 19:05:53 +0000 Subject: [PATCH 077/131] Keep the field-inline weighted dot and its kernel inline when terminal contraction is enabled With terminal-contraction both the field-inline weighted dot and the kernel it calls are marked inline(always), so the kernel stays inside the setup-scan row kernel in the guest. The attributes sit on the existing signature lines; feature-off builds keep every source line. --- crates/jolt-field/src/solinas/fp128.rs | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index ff34ad9d96..d85ad607b2 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1241,7 +1241,7 @@ impl PseudoMersenne for Fp128

{ } #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] - fn inline_weighted_dot(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Option { + #[cfg_attr(feature = "terminal-contraction", inline(always))] fn inline_weighted_dot(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Option { Self::inline_accumulators().then(|| Self::inline_weighted_dot_kernel(rows, weights, pows)) } @@ -1312,7 +1312,7 @@ impl Fp128

{ } } - #[rustfmt::skip] fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { + #[rustfmt::skip] #[cfg_attr(feature = "terminal-contraction", inline(always))] fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`, so a slice // of it, and a slice of such slices, have the limb slices' layout. let cast = |slice: &[Self]| -> &[[u64; 2]] { From 71ff0bba9404995ddb7cb8ebea99b1c1596a45df Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 21:36:48 +0000 Subject: [PATCH 078/131] Keep the Fp128 weighted dot product inline under terminal contraction The Fp128 weighted dot product that the terminal contraction adds is marked inline(always), so it stays inside its caller in the guest. The file is only compiled with the feature. --- crates/jolt-field/src/terminal_contraction.rs | 1 + 1 file changed, 1 insertion(+) diff --git a/crates/jolt-field/src/terminal_contraction.rs b/crates/jolt-field/src/terminal_contraction.rs index 972b0c1420..c0174508ee 100644 --- a/crates/jolt-field/src/terminal_contraction.rs +++ b/crates/jolt-field/src/terminal_contraction.rs @@ -24,6 +24,7 @@ pub(crate) use field_methods; macro_rules! fp128_methods { () => { + #[inline(always)] fn weighted_dot_product(rows: &[&[Self]], weights: &[Self], shared: &[Self]) -> Self { >::weighted_dot_base_rows(rows, weights, shared) } From 29353277281aa0653ef6ca2fce443ac201a1c8da Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 23:06:10 +0000 Subject: [PATCH 079/131] feat(recursion): contract the terminal relations by default The recursion host enables terminal-contraction by default and forwards it to the verifier guest and to the host's Akita, so the stock feature list builds with it. The guest contracts the terminal ring relations with signed 16-bit coefficients, and the fused setup scan, its jobs and the weighted dots stay inline. The field values, proofs and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index bf8f7d02ab..330919f69d 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -67,6 +67,9 @@ akita = [ # weighted-dot-horner: the verifier guest evaluates each weighted dot whose 64 # powers are geometric, with at least five rows, by a five-row reverse Horner # recurrence in field registers; same field values. Default on. +# terminal-contraction: the verifier guest (and the host's Akita) contract the +# terminal ring relations by signed 16-bit coefficients and evaluate the fused +# setup scan with its jobs and weighted dots inline; same field values. Default on. default = [ "l3-compression-weights", "l2-terminal-quotient", @@ -79,6 +82,7 @@ default = [ "setup-sop-structured", "segment-setup", "weighted-dot-horner", + "terminal-contraction", ] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] From 8fcd5b7fb1bc6dc7d3647d3394a07f43b3c272d8 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 05:45:21 +0000 Subject: [PATCH 080/131] build(recursion): link the verifier guest with its main entry first in .text ZeroOS's weak __main_entry stub sits at the start of .text and reaches __default_main_entry with j, whose reach is 1 MiB. The verifier guest can place more than 1 MiB of code between the two, and its link then fails with an out of range jump. The recursion host now passes an lld symbol ordering file that lists __default_main_entry to the verifier guest build only, through ZEROOS_GUEST_RUSTFLAGS, so that function's section is placed next to the stub. The guest code and the ZeroOS pin are unchanged, and the inner guests are built and linked as before. RECURSION_GUEST_LINK_ORDER=off links without the file. --- examples/recursion/src/main.rs | 67 ++++++++++++++++++++++++++++++---- 1 file changed, 60 insertions(+), 7 deletions(-) diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 9edbadbd4c..4720263f51 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1137,19 +1137,60 @@ echo "$3" (output.status.success() && key.len() == 64).then_some(key) } +/// Symbols the verifier guest's link places first in `.text` (an lld symbol +/// ordering file). ZeroOS's weak `__main_entry` stub sits at the start of +/// `.text` and reaches `__default_main_entry` with `j`, whose reach is 1 MiB; +/// the verifier guest can place more than 1 MiB of code between the two. With +/// this order the target's section sits next to the stub. The code is +/// unchanged; only the position of that function in the image moves. +const RECURSION_GUEST_LINK_ORDER: &str = "__default_main_entry\n"; + +/// Linker flag that applies `RECURSION_GUEST_LINK_ORDER` to the verifier guest +/// build. The ordering file is written into the guest target directory (only +/// when its bytes differ). `RECURSION_GUEST_LINK_ORDER=off` links without it. +fn recursion_guest_link_order_flag(target_dir: &str) -> Option { + if matches!( + std::env::var("RECURSION_GUEST_LINK_ORDER").as_deref(), + Ok("off") + ) { + return None; + } + std::fs::create_dir_all(target_dir).expect("create the guest target directory"); + let dir = std::fs::canonicalize(target_dir).expect("resolve the guest target directory"); + let path = dir.join("recursion-guest-link-order.txt"); + if !std::fs::read(&path).is_ok_and(|existing| existing == RECURSION_GUEST_LINK_ORDER.as_bytes()) + { + let tmp = dir.join(format!( + "recursion-guest-link-order.{}.tmp", + std::process::id() + )); + std::fs::write(&tmp, RECURSION_GUEST_LINK_ORDER).expect("write the guest link order"); + std::fs::rename(&tmp, &path).expect("install the guest link order"); + } + let path = path.to_str().expect("UTF-8 guest link order path"); + // ZEROOS_GUEST_RUSTFLAGS is split on whitespace. + assert!( + !path.contains(char::is_whitespace), + "guest link order path contains whitespace: {path}" + ); + Some(format!("-Clink-arg=--symbol-ordering-file={path}")) +} + /// Builds the verifier guest, applying the default guest build settings to -/// this build only (the inner guests keep the stock settings). With -/// `RECURSION_GUEST_ELF_CACHE=

` set, an ELF already built for the same -/// content key is reused instead of running the guest build, and a fresh build -/// is stored under its key; unset, the build runs as before. With -/// `RECURSION_GUEST_ELF_CACHE_PROBE` also set, the host logs the key and whether -/// the lookup hits, then exits without building. +/// this build only (the inner guests keep the stock settings), together with +/// the link order `RECURSION_GUEST_LINK_ORDER`, which applies with or without +/// those settings. With `RECURSION_GUEST_ELF_CACHE=` set, an ELF already +/// built for the same content key is reused instead of running the guest build, +/// and a fresh build is stored under its key; unset, the build runs as before. +/// With `RECURSION_GUEST_ELF_CACHE_PROBE` also set, the host logs the key and +/// whether the lookup hits, then exits without building. fn build_recursion_guest(program: &mut Program, target_dir: &str) { let enabled = cfg!(feature = "guest-codegen") && !matches!( std::env::var("RECURSION_GUEST_CODEGEN").as_deref(), Ok("off") ); + let caller_guest_rustflags = std::env::var_os("ZEROOS_GUEST_RUSTFLAGS"); let mut applied = Vec::new(); if enabled { for (key, value) in RECURSION_GUEST_CODEGEN { @@ -1159,7 +1200,15 @@ fn build_recursion_guest(program: &mut Program, target_dir: &str) { } } } - info!(" recursion guest build settings: {applied:?}"); + let link_order = recursion_guest_link_order_flag(target_dir); + if let Some(flag) = &link_order { + let flags = match std::env::var("ZEROOS_GUEST_RUSTFLAGS") { + Ok(flags) if !flags.trim().is_empty() => format!("{flags} {flag}"), + _ => flag.clone(), + }; + std::env::set_var("ZEROOS_GUEST_RUSTFLAGS", flags); + } + info!(" recursion guest build settings: {applied:?}, link order: {link_order:?}"); let cache = std::env::var_os("RECURSION_GUEST_ELF_CACHE").map(PathBuf::from); let key = cache.as_ref().and_then(|_| guest_elf_cache_key(target_dir)); let cached = match (&cache, &key) { @@ -1204,6 +1253,10 @@ fn build_recursion_guest(program: &mut Program, target_dir: &str) { for key in applied { std::env::remove_var(key); } + match caller_guest_rustflags { + Some(flags) => std::env::set_var("ZEROOS_GUEST_RUSTFLAGS", flags), + None => std::env::remove_var("ZEROOS_GUEST_RUSTFLAGS"), + } } fn run_recursion_proof( From c1a82e487c98b4b3416819e664498627197399ea Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 19:27:21 +0000 Subject: [PATCH 081/131] Rebuild the recursion guest's one-hot catalog view from a build-time record behind a default-off feature prevalidated-catalog: before the verifier guest build, the recursion host loads the one-hot catalog view of the setup section it embeds through Akita's canonical loader and writes the recorded values to a generated file named in JOLT_PREVALIDATED_CATALOG_RS. The guest uses the record only for view bytes equal to the recorded ones (length, bytes, then policy digest); any other view takes the unchanged canonical path. In guest-compiled files the only changed line is the one-hot catalog match arm in adapters.rs (same-line attribute); everything else is appended after the last original line or before the final test module. --- crates/jolt-akita/Cargo.toml | 3 + crates/jolt-akita/src/adapters.rs | 18 ++- crates/jolt-akita/src/lib.rs | 5 + crates/jolt-akita/src/prevalidated_catalog.rs | 119 ++++++++++++++++++ examples/recursion/Cargo.toml | 3 + examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/main.rs | 14 +++ .../recursion/src/prevalidated_catalog.rs | 99 +++++++++++++++ 8 files changed, 261 insertions(+), 1 deletion(-) create mode 100644 crates/jolt-akita/src/prevalidated_catalog.rs create mode 100644 examples/recursion/src/prevalidated_catalog.rs diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 9fe873b732..0ae3e52c76 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -42,6 +42,9 @@ ont-static-base = ["akita-challenges/ont-static-base"] tensor-no-carry = ["akita-algebra/tensor-no-carry"] tensor-eq-runs = ["akita-algebra/tensor-eq-runs"] setup-sop-structured = ["akita-pcs/setup-sop-structured"] +# Prevalidated catalog (default off): the recursion guest rebuilds its one-hot catalog view +# from a build-time prevalidated record when the view bytes are equal. +prevalidated-catalog = ["akita-config/prevalidated-catalog", "akita-schedules/prevalidated-catalog"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/crates/jolt-akita/src/adapters.rs b/crates/jolt-akita/src/adapters.rs index 2343c2e0c7..adf9e0534e 100644 --- a/crates/jolt-akita/src/adapters.rs +++ b/crates/jolt-akita/src/adapters.rs @@ -817,7 +817,7 @@ impl AkitaVerifierSetup { CatalogSource::Artifact(bytes) => { AkitaOneHotBackendScheme::from_artifact(family, bytes) } - CatalogSource::VerifierView(view) => { + #[rustfmt::skip] CatalogSource::VerifierView(view) => { #[cfg(feature = "prevalidated-catalog")] if let Some(scheme) = crate::prevalidated_catalog::one_hot_scheme(family, view) { return scheme; } AkitaOneHotBackendScheme::from_verifier_view(family, view) } }) @@ -1525,6 +1525,22 @@ where bridged_session } +#[cfg(all(feature = "prevalidated-catalog", not(target_arch = "riscv64")))] +impl AkitaVerifierSetup { + /// Host: the source of the prevalidated one-hot catalog file for a guest + /// that embeds this setup (see the `prevalidated_catalog` module). Needs + /// this setup's prepared one-hot verifier view (payloads attached). + pub fn prevalidated_catalog_source(&self) -> Result { + let CatalogSource::VerifierView(view) = self.catalog_source(AkitaBackendFlavor::OneHot)? + else { + return Err("the one-hot catalog is not a prepared verifier view".to_owned()); + }; + let family = OneHotFamily::from_parts(self.one_hot_k, self.akita_chunk_profile()) + .map_err(|error| error.to_string())?; + crate::prevalidated_catalog::render(family, view).map_err(|error| error.to_string()) + } +} + #[cfg(test)] mod tests { #![expect( diff --git a/crates/jolt-akita/src/lib.rs b/crates/jolt-akita/src/lib.rs index 5327462a99..0c711cdb40 100644 --- a/crates/jolt-akita/src/lib.rs +++ b/crates/jolt-akita/src/lib.rs @@ -58,3 +58,8 @@ pub use trace_onehot::{no_selected_row, TraceOneHotColumn, TraceOneHotRows}; /// backend use the exact transform the adapter uses. #[doc(hidden)] pub use adapters::{jolt_to_akita_evals, jolt_to_akita_index, reverse_point}; + +#[cfg(feature = "prevalidated-catalog")] +mod prevalidated_catalog; +#[cfg(feature = "prevalidated-catalog")] +pub use prevalidated_catalog::{EMPTY_PREVALIDATED_CATALOG_SOURCE, PREVALIDATED_CATALOG_VARIABLE}; diff --git a/crates/jolt-akita/src/prevalidated_catalog.rs b/crates/jolt-akita/src/prevalidated_catalog.rs new file mode 100644 index 0000000000..d9119ce599 --- /dev/null +++ b/crates/jolt-akita/src/prevalidated_catalog.rs @@ -0,0 +1,119 @@ +//! Prevalidated one-hot catalog views (feature `prevalidated-catalog`, default +//! off). +//! +//! Loading the prepared one-hot catalog view repeats, on every verification, +//! the catalog's semantic audit, its digest over every row identity and a +//! canonical re-encode. All of it is a function of the view bytes and the +//! family's compile-time config. The recursion host loads the view it embeds +//! into the guest image through Akita's canonical loader before the guest +//! build, records what loading derived, and names a generated file in +//! `JOLT_PREVALIDATED_CATALOG_RS`; the guest includes it. At run time the +//! record is used only for view bytes equal to the recorded ones (length, then +//! every byte, then the runtime policy digest); any other view is loaded by +//! the canonical path, so the record never changes what is accepted. + +use akita_config::TrustedScheduleCatalog; +use akita_pcs::{AkitaCommitmentScheme, AkitaError}; +use akita_schedules::PrevalidatedVerifierView; + +use crate::one_hot_family::{one_hot_families, AkitaOneHotBackendScheme, OneHotFamily}; + +/// Environment variable naming the generated file for a guest build. +pub const PREVALIDATED_CATALOG_VARIABLE: &str = "JOLT_PREVALIDATED_CATALOG_RS"; + +#[cfg(target_arch = "riscv64")] +mod compiled { + use akita_schedules::PrevalidatedVerifierView; + include!(env!("JOLT_PREVALIDATED_CATALOG_RS")); +} +#[cfg(not(target_arch = "riscv64"))] +mod compiled { + use akita_schedules::PrevalidatedVerifierView; + pub(super) static VIEWS: &[PrevalidatedVerifierView<'static>] = &[]; +} + +macro_rules! define_prevalidated_dispatch { + (; $(($variant:ident, $k:path, $profile:ident, $cfg:ty, $direct:ty, $artifact:ident)),+ $(,)?) => { + fn rebuild( + family: OneHotFamily, + view: &[u8], + prevalidated: &PrevalidatedVerifierView<'_>, + ) -> Option { + match family { + $(OneHotFamily::$variant => { + TrustedScheduleCatalog::<$cfg>::from_prevalidated_verifier_view(view, prevalidated) + .map(|catalog| AkitaOneHotBackendScheme::$variant(AkitaCommitmentScheme::new(catalog))) + }),+ + } + } + + #[cfg(not(target_arch = "riscv64"))] + fn prevalidate( + family: OneHotFamily, + view: &[u8], + ) -> Result { + match family { + $(OneHotFamily::$variant => { + TrustedScheduleCatalog::<$cfg>::prevalidate_verifier_view(view) + }),+ + } + } + }; +} +one_hot_families!(define_prevalidated_dispatch {}); + +/// The one-hot scheme over `view` from the compiled prevalidated views, or +/// `None` when no compiled view matches `view` (the caller then loads `view` +/// canonically). +pub(crate) fn one_hot_scheme( + family: OneHotFamily, + view: &[u8], +) -> Option> { + compiled::VIEWS + .iter() + .find_map(|prevalidated| rebuild(family, view, prevalidated)) + .map(Ok) +} + +/// Host: the generated file's source for `view` (one prevalidated view), or +/// an error when canonical loading or the rebuild check fails. +#[cfg(not(target_arch = "riscv64"))] +pub(crate) fn render(family: OneHotFamily, view: &[u8]) -> Result { + let record = prevalidate(family, view)?; + let prevalidated = PrevalidatedVerifierView { + view, + policy_digest: record.policy_digest, + catalog_digest: record.catalog_digest, + carried_row_digests: &record.carried_row_digests, + }; + if rebuild(family, view, &prevalidated).is_none() { + return Err(AkitaError::InvalidSetup( + "prevalidated one-hot catalog view does not rebuild".into(), + )); + } + let bytes = |bytes: &[u8]| { + bytes + .iter() + .map(u8::to_string) + .collect::>() + .join(",") + }; + let rows = record + .carried_row_digests + .iter() + .map(|digest| format!("[{}]", bytes(digest))) + .collect::>() + .join(","); + Ok(format!( + "pub(super) static VIEWS: &[PrevalidatedVerifierView<'static>] = &[PrevalidatedVerifierView {{\nview: &[{}],\npolicy_digest: [{}],\ncatalog_digest: [{}],\ncarried_row_digests: &[{}],\n}}];\n", + bytes(view), + bytes(&record.policy_digest), + bytes(&record.catalog_digest), + rows, + )) +} + +/// Host: the generated file's source with no prevalidated view (every +/// lookup misses and the canonical path runs). +pub const EMPTY_PREVALIDATED_CATALOG_SOURCE: &str = + "pub(super) static VIEWS: &[PrevalidatedVerifierView<'static>] = &[];\n"; diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 330919f69d..aaf6466d13 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -98,6 +98,9 @@ rowptr-registers = [] # Structured setup sums of products (default on): structured-site sums of products in the Akita setup scan. setup-sop-structured = ["jolt-akita?/setup-sop-structured"] weighted-dot-horner = [] +# Prevalidated catalog (default off): the host prevalidates the embedded one-hot catalog view +# and the guest rebuilds it from that record when its bytes are equal. +prevalidated-catalog = ["akita", "jolt-akita/prevalidated-catalog", "dep:sha2", "dep:hex"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 984d715236..fd011f5e98 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -49,6 +49,7 @@ rowptr-registers = ["jolt-field/field-inline-rowptr"] weighted-dot-horner = ["jolt-field/field-inline-horner"] tensor-eq-runs = ["akita", "jolt-akita/tensor-eq-runs"] setup-sop-structured = ["akita", "jolt-akita/setup-sop-structured"] +prevalidated-catalog = ["akita", "jolt-akita/prevalidated-catalog"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 4720263f51..b5b52b5adb 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -936,6 +936,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("setup-sop-structured"); #[cfg(feature = "weighted-dot-horner")] program.add_guest_feature("weighted-dot-horner"); + #[cfg(feature = "prevalidated-catalog")] + program.add_guest_feature("prevalidated-catalog"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) } @@ -1119,6 +1121,7 @@ sha256sum "$(command -v "${JOLT_PATH:-jolt}")" sha256sum "$2" env | grep -E '^(ZEROOS_GUEST_RUSTFLAGS|CARGO_PROFILE_[A-Z0-9_]*|RUSTFLAGS|CARGO_ENCODED_RUSTFLAGS|CARGO_BUILD_[A-Z0-9_]*|RECURSION_GUEST_CODEGEN|JOLT_FUNC_NAME)=' | sort || true if [ -n "${JOLT_IMMUTABLE_RECIPES_RS:-}" ]; then echo immutable-recipes-tables; sha256sum < "$JOLT_IMMUTABLE_RECIPES_RS"; else echo immutable-recipes-tables-none; fi +if [ -n "${JOLT_PREVALIDATED_CATALOG_RS:-}" ]; then echo prevalidated-catalog; sha256sum < "$JOLT_PREVALIDATED_CATALOG_RS"; else echo prevalidated-catalog-none; fi echo "$3" } | sha256sum | cut -c1-64 "#; @@ -1374,6 +1377,13 @@ fn verify_proofs( #[cfg(feature = "immutable-recipes")] let recipe_tables = immutable_recipe_tables::prepare(&all_groups_data, "/tmp/jolt-guest-targets"); + // Prevalidated catalog: the embedded setup's one-hot catalog view, loaded + // canonically here and recorded for the guest (setup section only). + #[cfg(feature = "prevalidated-catalog")] + let prevalidated_catalog = prevalidated_catalog::prepare( + &all_groups_data[..layout.setup_len], + "/tmp/jolt-guest-targets", + ); run_recursion_proof( guest, run_config, @@ -1383,6 +1393,8 @@ fn verify_proofs( ); #[cfg(feature = "immutable-recipes")] immutable_recipe_tables::release(recipe_tables); + #[cfg(feature = "prevalidated-catalog")] + prevalidated_catalog::release(prevalidated_catalog); } fn main() { @@ -1507,6 +1519,8 @@ fn main() { mod immutable_recipe_generation; #[cfg(feature = "immutable-recipes")] mod immutable_recipe_tables; +#[cfg(feature = "prevalidated-catalog")] +mod prevalidated_catalog; #[cfg(not(feature = "immutable-recipes"))] macro_rules! immutable_recursion_program { diff --git a/examples/recursion/src/prevalidated_catalog.rs b/examples/recursion/src/prevalidated_catalog.rs new file mode 100644 index 0000000000..9484dcf349 --- /dev/null +++ b/examples/recursion/src/prevalidated_catalog.rs @@ -0,0 +1,99 @@ +//! Prevalidated one-hot catalog view for the verifier-guest build (feature +//! `prevalidated-catalog`, default off). +//! +//! Before the guest is built, the host decodes the setup section of the +//! stream it is about to embed (never a proof), attaches its payloads and +//! loads the prepared one-hot catalog view through Akita's canonical loader, +//! recording what loading derived. It writes the generated file under the +//! guest target directory by content digest and names it in +//! `JOLT_PREVALIDATED_CATALOG_RS` for that build. If anything fails, or +//! `RECURSION_PREVALIDATED_CATALOG=off`, it names a file with no view: every +//! lookup misses and the guest keeps the canonical path. A caller-set variable +//! is kept. + +use crate::{read_raw, read_record, GuestVerifierPreprocessing}; +use jolt_akita::{TrustedBytes, EMPTY_PREVALIDATED_CATALOG_SOURCE, PREVALIDATED_CATALOG_VARIABLE}; +use sha2::{Digest, Sha256}; +use std::fs; +use std::path::{Path, PathBuf}; +use tracing::info; + +const SWITCH: &str = "RECURSION_PREVALIDATED_CATALOG"; + +/// Names the prevalidated catalog file for the next guest build. `setup` is +/// the stream's setup section. Returns whether the variable was set here. +pub(crate) fn prepare(setup: &[u8], target_dir: &str) -> bool { + if std::env::var_os(PREVALIDATED_CATALOG_VARIABLE).is_some() { + info!(" prevalidated catalog: caller-supplied {PREVALIDATED_CATALOG_VARIABLE}"); + return false; + } + let source = if std::env::var(SWITCH).as_deref() == Ok("off") { + info!(" prevalidated catalog: off; no view, canonical path"); + EMPTY_PREVALIDATED_CATALOG_SOURCE.to_owned() + } else { + match generate(setup) { + Ok(source) => source, + Err(reason) => { + info!(" prevalidated catalog: none ({reason}); canonical path"); + EMPTY_PREVALIDATED_CATALOG_SOURCE.to_owned() + } + } + }; + match write(&source, target_dir) { + Ok(path) => { + info!(" prevalidated catalog file: {}", path.display()); + std::env::set_var(PREVALIDATED_CATALOG_VARIABLE, &path); + true + } + Err(reason) => { + info!(" prevalidated catalog file not written: {reason}"); + false + } + } +} + +/// Removes the variable [`prepare`] set, so it does not outlive this build. +pub(crate) fn release(set_here: bool) { + if set_here { + std::env::remove_var(PREVALIDATED_CATALOG_VARIABLE); + } +} + +fn generate(setup: &[u8]) -> Result { + let mut offset = 0; + let verifier_preprocessing: GuestVerifierPreprocessing = read_record(setup, &mut offset)?; + let payload_count: u32 = read_record(setup, &mut offset)?; + let mut payloads = Vec::new(); + for _ in 0..payload_count { + payloads.push(read_raw(setup, &mut offset)?.to_vec()); + } + if offset != setup.len() { + return Err("the setup section has trailing bytes".to_owned()); + } + let mut attached = verifier_preprocessing; + let bodies: Vec = payloads + .into_iter() + // SAFETY: these are the setup bodies of the section the guest embeds + // as its trusted constant; the host extends them the same trust. + .map(|payload| unsafe { TrustedBytes::new(Box::leak(payload.into_boxed_slice())) }) + .collect(); + attached + .pcs_setup + .attach_prepared_payloads(&bodies) + .map_err(|error| format!("prepared payloads did not attach: {error:?}"))?; + attached.pcs_setup.prevalidated_catalog_source() +} + +/// Writes `source` under the guest target directory by content digest. +fn write(source: &str, target_dir: &str) -> Result { + let digest = hex::encode(Sha256::digest(source.as_bytes())); + let directory = Path::new(target_dir).join("prevalidated-catalog"); + fs::create_dir_all(&directory).map_err(|error| error.to_string())?; + let path = directory.join(format!("{digest}.rs")); + if !path.is_file() { + let temporary = directory.join(format!("{digest}.rs.tmp-{}", std::process::id())); + fs::write(&temporary, source.as_bytes()).map_err(|error| error.to_string())?; + fs::rename(&temporary, &path).map_err(|error| error.to_string())?; + } + Ok(path) +} From 2c7731b2caedc402d58e2e6615213d566c547b9c Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 27 Oct 2026 21:37:54 +0000 Subject: [PATCH 082/131] Instantiate the prevalidated catalog rebuild for the guest's own family only The generated file names its family, so the guest instantiates one rebuild. The rebuild and the dispatch are kept out of line. The host dispatch still covers every family and checks each family's config against its variant at compile time. --- crates/jolt-akita/src/prevalidated_catalog.rs | 155 ++++++++++++------ 1 file changed, 102 insertions(+), 53 deletions(-) diff --git a/crates/jolt-akita/src/prevalidated_catalog.rs b/crates/jolt-akita/src/prevalidated_catalog.rs index d9119ce599..8f9d625fe6 100644 --- a/crates/jolt-akita/src/prevalidated_catalog.rs +++ b/crates/jolt-akita/src/prevalidated_catalog.rs @@ -8,85 +8,135 @@ //! into the guest image through Akita's canonical loader before the guest //! build, records what loading derived, and names a generated file in //! `JOLT_PREVALIDATED_CATALOG_RS`; the guest includes it. At run time the -//! record is used only for view bytes equal to the recorded ones (length, then -//! every byte, then the runtime policy digest); any other view is loaded by -//! the canonical path, so the record never changes what is accepted. +//! record is used only for the recorded family and for view bytes equal to the +//! recorded ones (length, then every byte, then the runtime policy digest); any +//! other view is loaded by the canonical path, so the record never changes +//! what is accepted. The generated file instantiates the rebuild for its own +//! family only, so a guest carries one copy. -use akita_config::TrustedScheduleCatalog; -use akita_pcs::{AkitaCommitmentScheme, AkitaError}; +use akita_config::{CommitmentConfig, TrustedScheduleCatalog}; +use akita_pcs::AkitaError; use akita_schedules::PrevalidatedVerifierView; -use crate::one_hot_family::{one_hot_families, AkitaOneHotBackendScheme, OneHotFamily}; +use crate::one_hot_family::{AkitaOneHotBackendScheme, OneHotFamily}; /// Environment variable naming the generated file for a guest build. pub const PREVALIDATED_CATALOG_VARIABLE: &str = "JOLT_PREVALIDATED_CATALOG_RS"; +/// The commitment config of each one-hot family variant (the +/// `one_hot_families!` list); the host dispatch below checks every arm against +/// the variant's constructor at compile time. +#[cfg_attr(target_arch = "riscv64", allow(unused_macros))] +macro_rules! cfg_of { + (K16Single) => { + crate::configs::JoltOneHotK16 + }; + (K256Single) => { + crate::configs::JoltOneHotK256 + }; + (K16W2R2) => { + crate::configs::JoltOneHotK16W2R2 + }; + (K256W2R2) => { + crate::configs::JoltOneHotK256W2R2 + }; + (K16W4R2) => { + crate::configs::JoltOneHotK16W4R2 + }; + (K256W4R2) => { + crate::configs::JoltOneHotK256W4R2 + }; + (K16W8R2) => { + crate::configs::JoltOneHotK16W8R2 + }; + (K256W8R2) => { + crate::configs::JoltOneHotK256W8R2 + }; +} + +/// The scheme over `view` for `expected`'s config, or `None` when `family` is +/// another family or the view does not match the record. +#[cfg_attr(target_arch = "riscv64", allow(dead_code))] +#[inline(never)] +fn rebuild_one( + family: OneHotFamily, + expected: OneHotFamily, + variant: fn(TrustedScheduleCatalog) -> AkitaOneHotBackendScheme, + view: &[u8], + prevalidated: &PrevalidatedVerifierView<'_>, +) -> Option { + if family != expected { + return None; + } + TrustedScheduleCatalog::::from_prevalidated_verifier_view(view, prevalidated).map(variant) +} + #[cfg(target_arch = "riscv64")] mod compiled { - use akita_schedules::PrevalidatedVerifierView; include!(env!("JOLT_PREVALIDATED_CATALOG_RS")); } #[cfg(not(target_arch = "riscv64"))] mod compiled { - use akita_schedules::PrevalidatedVerifierView; - pub(super) static VIEWS: &[PrevalidatedVerifierView<'static>] = &[]; + pub(super) fn rebuild( + _family: super::OneHotFamily, + _view: &[u8], + ) -> Option { + None + } } -macro_rules! define_prevalidated_dispatch { - (; $(($variant:ident, $k:path, $profile:ident, $cfg:ty, $direct:ty, $artifact:ident)),+ $(,)?) => { - fn rebuild( - family: OneHotFamily, - view: &[u8], - prevalidated: &PrevalidatedVerifierView<'_>, - ) -> Option { - match family { - $(OneHotFamily::$variant => { - TrustedScheduleCatalog::<$cfg>::from_prevalidated_verifier_view(view, prevalidated) - .map(|catalog| AkitaOneHotBackendScheme::$variant(AkitaCommitmentScheme::new(catalog))) - }),+ - } - } +/// The one-hot scheme over `view` from the compiled prevalidated view, or +/// `None` when it does not match (the caller then loads `view` canonically). +#[inline(never)] +pub(crate) fn one_hot_scheme( + family: OneHotFamily, + view: &[u8], +) -> Option> { + compiled::rebuild(family, view).map(Ok) +} - #[cfg(not(target_arch = "riscv64"))] +#[cfg(not(target_arch = "riscv64"))] +macro_rules! define_prevalidated_host { + (; $(($variant:ident, $k:path, $profile:ident, $family_cfg:ty, $direct:ty, $artifact:ident)),+ $(,)?) => { + /// Host: canonical load of `view` for `family`, the variant's name, and a + /// rebuild of the result through `rebuild_one` with the same config the + /// generated file names (a wrong `cfg_of!` arm does not compile). fn prevalidate( family: OneHotFamily, view: &[u8], - ) -> Result { + ) -> Result<(akita_schedules::PrevalidatedVerifierRecord, &'static str, bool), AkitaError> { match family { $(OneHotFamily::$variant => { - TrustedScheduleCatalog::<$cfg>::prevalidate_verifier_view(view) + let record = TrustedScheduleCatalog::::prevalidate_verifier_view(view)?; + let prevalidated = PrevalidatedVerifierView { + view, + policy_digest: record.policy_digest, + catalog_digest: record.catalog_digest, + carried_row_digests: &record.carried_row_digests, + }; + let rebuilt = rebuild_one::( + family, + OneHotFamily::$variant, + |catalog| AkitaOneHotBackendScheme::$variant(akita_pcs::AkitaCommitmentScheme::new(catalog)), + view, + &prevalidated, + ) + .is_some(); + Ok((record, stringify!($variant), rebuilt)) }),+ } } }; } -one_hot_families!(define_prevalidated_dispatch {}); - -/// The one-hot scheme over `view` from the compiled prevalidated views, or -/// `None` when no compiled view matches `view` (the caller then loads `view` -/// canonically). -pub(crate) fn one_hot_scheme( - family: OneHotFamily, - view: &[u8], -) -> Option> { - compiled::VIEWS - .iter() - .find_map(|prevalidated| rebuild(family, view, prevalidated)) - .map(Ok) -} +#[cfg(not(target_arch = "riscv64"))] +crate::one_hot_family::one_hot_families!(define_prevalidated_host {}); -/// Host: the generated file's source for `view` (one prevalidated view), or -/// an error when canonical loading or the rebuild check fails. +/// Host: the generated file's source for `view` (one prevalidated view of +/// `family`), or an error when canonical loading or the rebuild check fails. #[cfg(not(target_arch = "riscv64"))] pub(crate) fn render(family: OneHotFamily, view: &[u8]) -> Result { - let record = prevalidate(family, view)?; - let prevalidated = PrevalidatedVerifierView { - view, - policy_digest: record.policy_digest, - catalog_digest: record.catalog_digest, - carried_row_digests: &record.carried_row_digests, - }; - if rebuild(family, view, &prevalidated).is_none() { + let (record, variant, rebuilt) = prevalidate(family, view)?; + if !rebuilt { return Err(AkitaError::InvalidSetup( "prevalidated one-hot catalog view does not rebuild".into(), )); @@ -105,7 +155,7 @@ pub(crate) fn render(family: OneHotFamily, view: &[u8]) -> Result>() .join(","); Ok(format!( - "pub(super) static VIEWS: &[PrevalidatedVerifierView<'static>] = &[PrevalidatedVerifierView {{\nview: &[{}],\npolicy_digest: [{}],\ncatalog_digest: [{}],\ncarried_row_digests: &[{}],\n}}];\n", + "static VIEW: akita_schedules::PrevalidatedVerifierView<'static> = akita_schedules::PrevalidatedVerifierView {{\nview: &[{}],\npolicy_digest: [{}],\ncatalog_digest: [{}],\ncarried_row_digests: &[{}],\n}};\npub(super) fn rebuild(family: super::OneHotFamily, view: &[u8]) -> Option {{\nsuper::rebuild_one::(family, super::OneHotFamily::{variant}, |catalog| super::AkitaOneHotBackendScheme::{variant}(akita_pcs::AkitaCommitmentScheme::new(catalog)), view, &VIEW)\n}}\n", bytes(view), bytes(&record.policy_digest), bytes(&record.catalog_digest), @@ -115,5 +165,4 @@ pub(crate) fn render(family: OneHotFamily, view: &[u8]) -> Result] = &[];\n"; +pub const EMPTY_PREVALIDATED_CATALOG_SOURCE: &str = "pub(super) fn rebuild(_family: super::OneHotFamily, _view: &[u8]) -> Option {\nNone\n}\n"; From dffd7d56ef184e9b45a3a84b20b52c6fc25fddc0 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 04:27:54 +0000 Subject: [PATCH 083/131] Make the recursion host's prevalidated catalog effective only with akita The prevalidated-catalog feature now reaches jolt-akita through a weak dependency edge, like the other Akita features, and the host's catalog module, its call sites and the guest forwarding are compiled only with akita as well. Builds that enable akita resolve the same features as before; builds without akita no longer pull akita in through this feature. --- examples/recursion/Cargo.toml | 7 ++++--- examples/recursion/src/main.rs | 8 ++++---- 2 files changed, 8 insertions(+), 7 deletions(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index aaf6466d13..e1b1395caa 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -98,9 +98,10 @@ rowptr-registers = [] # Structured setup sums of products (default on): structured-site sums of products in the Akita setup scan. setup-sop-structured = ["jolt-akita?/setup-sop-structured"] weighted-dot-horner = [] -# Prevalidated catalog (default off): the host prevalidates the embedded one-hot catalog view -# and the guest rebuilds it from that record when its bytes are equal. -prevalidated-catalog = ["akita", "jolt-akita/prevalidated-catalog", "dep:sha2", "dep:hex"] +# Prevalidated catalog: the host prevalidates the embedded one-hot catalog view +# and the guest rebuilds it from that record when its bytes are equal. Effective +# only with `akita`. +prevalidated-catalog = ["jolt-akita?/prevalidated-catalog", "dep:sha2", "dep:hex"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index b5b52b5adb..9894f5bcd8 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -936,7 +936,7 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("setup-sop-structured"); #[cfg(feature = "weighted-dot-horner")] program.add_guest_feature("weighted-dot-horner"); - #[cfg(feature = "prevalidated-catalog")] + #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] program.add_guest_feature("prevalidated-catalog"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) @@ -1379,7 +1379,7 @@ fn verify_proofs( immutable_recipe_tables::prepare(&all_groups_data, "/tmp/jolt-guest-targets"); // Prevalidated catalog: the embedded setup's one-hot catalog view, loaded // canonically here and recorded for the guest (setup section only). - #[cfg(feature = "prevalidated-catalog")] + #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] let prevalidated_catalog = prevalidated_catalog::prepare( &all_groups_data[..layout.setup_len], "/tmp/jolt-guest-targets", @@ -1393,7 +1393,7 @@ fn verify_proofs( ); #[cfg(feature = "immutable-recipes")] immutable_recipe_tables::release(recipe_tables); - #[cfg(feature = "prevalidated-catalog")] + #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] prevalidated_catalog::release(prevalidated_catalog); } @@ -1519,7 +1519,7 @@ fn main() { mod immutable_recipe_generation; #[cfg(feature = "immutable-recipes")] mod immutable_recipe_tables; -#[cfg(feature = "prevalidated-catalog")] +#[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] mod prevalidated_catalog; #[cfg(not(feature = "immutable-recipes"))] From 384f0172aa90c76490b56f606166c0973799c9e5 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 04:28:05 +0000 Subject: [PATCH 084/131] feat(recursion): rebuild the guest's catalog view from the host record by default The recursion host enables prevalidated-catalog by default, so the stock feature list records the embedded setup's one-hot catalog view and the verifier guest rebuilds a byte-equal view from that record instead of validating it again; any other view takes the canonical path. Proofs, Akita proof bytes and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 5 +++++ examples/recursion/src/prevalidated_catalog.rs | 2 +- 2 files changed, 6 insertions(+), 1 deletion(-) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index e1b1395caa..ef9d9794e2 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -70,6 +70,10 @@ akita = [ # terminal-contraction: the verifier guest (and the host's Akita) contract the # terminal ring relations by signed 16-bit coefficients and evaluate the fused # setup scan with its jobs and weighted dots inline; same field values. Default on. +# prevalidated-catalog: the host records the embedded setup's one-hot catalog +# view and the verifier guest rebuilds a byte-equal view from that record +# instead of validating it again; same field values. Default on; effective only +# with `akita`. default = [ "l3-compression-weights", "l2-terminal-quotient", @@ -83,6 +87,7 @@ default = [ "segment-setup", "weighted-dot-horner", "terminal-contraction", + "prevalidated-catalog", ] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] diff --git a/examples/recursion/src/prevalidated_catalog.rs b/examples/recursion/src/prevalidated_catalog.rs index 9484dcf349..e628a69c63 100644 --- a/examples/recursion/src/prevalidated_catalog.rs +++ b/examples/recursion/src/prevalidated_catalog.rs @@ -1,5 +1,5 @@ //! Prevalidated one-hot catalog view for the verifier-guest build (feature -//! `prevalidated-catalog`, default off). +//! `prevalidated-catalog`, default on with `akita`). //! //! Before the guest is built, the host decodes the setup section of the //! stream it is about to embed (never a proof), attaches its payloads and From 4bfcf69487200b2bec8df57ae32559798aef6468 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 04:41:41 +0000 Subject: [PATCH 085/131] style(toml): taplo-format the prevalidated-catalog feature lists --- crates/jolt-akita/Cargo.toml | 5 ++++- examples/recursion/Cargo.toml | 6 +++++- 2 files changed, 9 insertions(+), 2 deletions(-) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 0ae3e52c76..0f9b7bd3ca 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -44,7 +44,10 @@ tensor-eq-runs = ["akita-algebra/tensor-eq-runs"] setup-sop-structured = ["akita-pcs/setup-sop-structured"] # Prevalidated catalog (default off): the recursion guest rebuilds its one-hot catalog view # from a build-time prevalidated record when the view bytes are equal. -prevalidated-catalog = ["akita-config/prevalidated-catalog", "akita-schedules/prevalidated-catalog"] +prevalidated-catalog = [ + "akita-config/prevalidated-catalog", + "akita-schedules/prevalidated-catalog", +] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index ef9d9794e2..4ad83dca83 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -106,7 +106,11 @@ weighted-dot-horner = [] # Prevalidated catalog: the host prevalidates the embedded one-hot catalog view # and the guest rebuilds it from that record when its bytes are equal. Effective # only with `akita`. -prevalidated-catalog = ["jolt-akita?/prevalidated-catalog", "dep:sha2", "dep:hex"] +prevalidated-catalog = [ + "jolt-akita?/prevalidated-catalog", + "dep:sha2", + "dep:hex", +] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } From e42ad3243cbc18263617caf2436db1063341fd81 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 07:05:24 +0000 Subject: [PATCH 086/131] Add a default-off three-coefficient step to the Horner weighted dot The field-inline Horner weighted dot evaluates five rows of 64 two-limb elements with register-resident accumulators. With the new jolt-field feature `field-inline-horner-triplet`, each full five-row block advances every row by three coefficients per pointer and branch group: one base pointer covers three consecutive elements through the offsets of the existing load-accumulate instruction. Other block shapes keep the existing path. Field values are unchanged. The recursion host gains `weighted-dot-horner-triplet` (implies `weighted-dot-horner`) and forwards it to the verifier guest, whose feature of the same name enables the jolt-field feature. Default off in this commit. --- crates/jolt-field/Cargo.toml | 1 + crates/jolt-field/src/field_inline/horner.rs | 76 +++++++++++++++++++- examples/recursion/Cargo.toml | 1 + examples/recursion/guest/Cargo.toml | 4 ++ examples/recursion/src/main.rs | 2 + 5 files changed, 82 insertions(+), 2 deletions(-) diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index 0e97859a06..9142b89e49 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -51,6 +51,7 @@ field-inline-guest-fp128 = ["field-inline-guest"] # Row pointers (default off): hold the weighted-dot row base pointers in registers. field-inline-rowptr = ["field-inline-guest"] field-inline-horner = ["field-inline-guest"] +field-inline-horner-triplet = ["field-inline-horner"] # Byte-preserving recursion experiments, default off. word-transcript = [] diff --git a/crates/jolt-field/src/field_inline/horner.rs b/crates/jolt-field/src/field_inline/horner.rs index 2dcb48bb92..e2f3dfa587 100644 --- a/crates/jolt-field/src/field_inline/horner.rs +++ b/crates/jolt-field/src/field_inline/horner.rs @@ -3,7 +3,7 @@ use super::{emit, r_word, FUNCT3_ADD, FUNCT3_MUL, REG_A, REG_B, REG_SUM}; /// Evaluate rows at `alpha` with five register-resident Horner accumulators. /// The caller checks that its power vector is exactly `[1, alpha, ...]`. -pub(crate) fn weighted( +#[rustfmt::skip] pub(crate) fn weighted( rows: &[&[[u64; N]]], weights: &[[u64; N]], alpha: &[u64; N], @@ -48,7 +48,7 @@ pub(crate) fn weighted( load(REG_A, alpha); for (block_rows, block_weights) in rows.chunks(5).zip(weights.chunks(5)) { match block_rows { - [r0, r1, r2, r3, r4] => block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3, r4 => 4), + [r0, r1, r2, r3, r4] => { #[cfg(feature = "field-inline-horner-triplet")] if N == 2 && width == 64 { triplet_block([r0, r1, r2, r3, r4]); } else { block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3, r4 => 4); } #[cfg(not(feature = "field-inline-horner-triplet"))] block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3, r4 => 4); }, [r0, r1, r2, r3] => block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3), [r0, r1, r2] => block!(r0 => 0, r1 => 1, r2 => 2), [r0, r1] => block!(r0 => 0, r1 => 1), @@ -63,3 +63,75 @@ pub(crate) fn weighted( } read_out(REG_SUM) } + +#[cfg(feature = "field-inline-horner-triplet")] +use jolt_riscv::field_inline_load_accumulate_from_memory_funct7; + +/// The caller has checked five rows of 64 two-limb elements. REG_A holds +/// alpha; registers 9..=13 belong to these row accumulators. The existing +/// memory instruction's offsets cover three coefficients from one base. +#[cfg(feature = "field-inline-horner-triplet")] +#[inline(always)] +fn triplet_block(rows: [&[[u64; N]]; 5]) { + let [r0, r1, r2, r3, r4] = rows; + macro_rules! word { + ($op:expr, $rd:expr, $a:expr, $b:expr) => { + // SAFETY: fixed field operations within the caller's register lease. + unsafe { + core::arch::asm!( + ".word {w}", + w = const r_word($op, $rd, $a, $b), + options(nostack) + ); + } + }; + } + macro_rules! initialize { + ($($row:ident => $k:literal),+) => {$( + emit::row_acc_zero($k); + // SAFETY: the caller validated all row lengths as 64. + unsafe { load(REG_B, $row.get_unchecked(63)); } + word!(FUNCT3_ADD, 9 + $k, 9 + $k, REG_B); + )+}; + } + macro_rules! advance { + ($base:ident, $k:literal, $coefficient:literal) => { + emit::clear(REG_B); + // SAFETY: base identifies elements j..j+2 in a validated row, + // N == 2, and coefficient is 0, 1 or 2. The scratch output is + // early-clobber: its first write must not overwrite the base + // needed by the second load. Both reads are bound by the same + // field-memory relation as the ordinary load helper. + unsafe { + core::arch::asm!( + ".insn r {opcode}, {funct3}, {high}, {scratch}, {base}, x{dst}", + ".insn r {opcode}, {funct3}, {low}, {scratch}, {base}, x{dst}", + opcode = const super::OPCODE, + funct3 = const super::FUNCT3_LOAD_ACCUMULATE, + high = const field_inline_load_accumulate_from_memory_funct7(2 * $coefficient + 1), + low = const field_inline_load_accumulate_from_memory_funct7(2 * $coefficient), + dst = const REG_B, + base = in(reg) $base, + scratch = out(reg) _, + options(nostack) + ); + } + word!(FUNCT3_MUL, 9 + $k, 9 + $k, REG_A); + word!(FUNCT3_ADD, 9 + $k, 9 + $k, REG_B); + }; + } + macro_rules! group { + ($j:expr; $($row:ident => $k:literal),+) => {$( + // SAFETY: j ranges from 60 down to 0 in steps of 3; each pair + // of limb loads remains inside the row's first 63 elements. + let base = unsafe { $row.as_ptr().add($j) }; + advance!(base, $k, 2); + advance!(base, $k, 1); + advance!(base, $k, 0); + )+}; + } + initialize!(r0 => 0, r1 => 1, r2 => 2, r3 => 3, r4 => 4); + for j in (0..63).step_by(3).rev() { + group!(j; r0 => 0, r1 => 1, r2 => 2, r3 => 3, r4 => 4); + } +} diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 4ad83dca83..d303108419 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -103,6 +103,7 @@ rowptr-registers = [] # Structured setup sums of products (default on): structured-site sums of products in the Akita setup scan. setup-sop-structured = ["jolt-akita?/setup-sop-structured"] weighted-dot-horner = [] +weighted-dot-horner-triplet = ["weighted-dot-horner"] # Prevalidated catalog: the host prevalidates the embedded one-hot catalog view # and the guest rebuilds it from that record when its bytes are equal. Effective # only with `akita`. diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index fd011f5e98..4c37399433 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -47,6 +47,10 @@ tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] # Row pointers (default off): weighted-dot row pointers held in registers. rowptr-registers = ["jolt-field/field-inline-rowptr"] weighted-dot-horner = ["jolt-field/field-inline-horner"] +weighted-dot-horner-triplet = [ + "weighted-dot-horner", + "jolt-field/field-inline-horner-triplet", +] tensor-eq-runs = ["akita", "jolt-akita/tensor-eq-runs"] setup-sop-structured = ["akita", "jolt-akita/setup-sop-structured"] prevalidated-catalog = ["akita", "jolt-akita/prevalidated-catalog"] diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 9894f5bcd8..a3506f7d1d 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -936,6 +936,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("setup-sop-structured"); #[cfg(feature = "weighted-dot-horner")] program.add_guest_feature("weighted-dot-horner"); + #[cfg(feature = "weighted-dot-horner-triplet")] + program.add_guest_feature("weighted-dot-horner-triplet"); #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] program.add_guest_feature("prevalidated-catalog"); program.set_memory_config(memory_config); From f7905d7d7e381a9deb888a4eb30480a7360ccc37 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 07:05:34 +0000 Subject: [PATCH 087/131] feat(recursion): use the three-coefficient Horner step by default The recursion host enables weighted-dot-horner-triplet by default and forwards it to the verifier guest, so the stock feature list builds with it. Inside each full five-row block of 64 two-limb elements, the guest's Horner weighted dot advances every row by three coefficients per pointer and branch group. Field values, proofs, Akita proof bytes and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index d303108419..2a06b1ce69 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -74,6 +74,9 @@ akita = [ # view and the verifier guest rebuilds a byte-equal view from that record # instead of validating it again; same field values. Default on; effective only # with `akita`. +# weighted-dot-horner-triplet: inside each full five-row block of 64 two-limb +# elements, the verifier guest's Horner weighted dot advances every row by three +# coefficients per pointer and branch group; same field values. Default on. default = [ "l3-compression-weights", "l2-terminal-quotient", @@ -88,6 +91,7 @@ default = [ "weighted-dot-horner", "terminal-contraction", "prevalidated-catalog", + "weighted-dot-horner-triplet", ] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] From e78656ce779cf8feea17d3ca4488d5dc4e903ffd Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 07:06:45 +0000 Subject: [PATCH 088/131] style(jolt-field): rustfmt the terminal-contraction attribute lines Put each attribute of the terminal-contraction items in algebra.rs, field_inline.rs and solinas/fp128.rs on its own line, as cargo fmt --check requires. Formatting only; no code change. --- crates/jolt-field/src/algebra.rs | 3 ++- crates/jolt-field/src/field_inline.rs | 6 ++++-- crates/jolt-field/src/solinas/fp128.rs | 10 +++++++--- 3 files changed, 13 insertions(+), 6 deletions(-) diff --git a/crates/jolt-field/src/algebra.rs b/crates/jolt-field/src/algebra.rs index 346690bc73..e5e52df541 100644 --- a/crates/jolt-field/src/algebra.rs +++ b/crates/jolt-field/src/algebra.rs @@ -197,7 +197,8 @@ pub trait Field: Ring { .zip(b) .fold(::zero(), |acc, (x, y)| acc + *x * *y) } - #[cfg(feature = "terminal-contraction")] crate::terminal_contraction::field_methods!(); + #[cfg(feature = "terminal-contraction")] + crate::terminal_contraction::field_methods!(); /// `Σ ±terms[i]`: each term is subtracted when its flag is set and added /// otherwise. Fields with a batched guest path (a register-resident sum /// read out once) override this. diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs index 5112518df0..1d0d31d533 100644 --- a/crates/jolt-field/src/field_inline.rs +++ b/crates/jolt-field/src/field_inline.rs @@ -98,7 +98,8 @@ mod emit { } }; } - #[cfg(feature = "terminal-contraction")] include!("field_inline/terminal_emit.rs"); + #[cfg(feature = "terminal-contraction")] + include!("field_inline/terminal_emit.rs"); /// Accumulate one word into a destination previously cleared by `clear`. #[inline(always)] pub fn load_accumulate(dst: u32, offset: usize, base: *const u64) { @@ -315,7 +316,8 @@ mod emit { mod guest { use super::*; - #[cfg(feature = "terminal-contraction")] include!("field_inline/terminal_guest.rs"); + #[cfg(feature = "terminal-contraction")] + include!("field_inline/terminal_guest.rs"); static READY: AtomicBool = AtomicBool::new(false); /// Prove that the unit computes modulo `modulus`. Accumulating the diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index d85ad607b2..791f2d88f6 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1077,7 +1077,8 @@ impl Field for Fp128

{ fn dot_product(a: &[Self], b: &[Self]) -> Self { >::dot_base(a, b) } - #[cfg(feature = "terminal-contraction")] crate::terminal_contraction::fp128_methods!(); + #[cfg(feature = "terminal-contraction")] + crate::terminal_contraction::fp128_methods!(); #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] #[inline] fn signed_sum<'a>(terms: impl IntoIterator) -> Self @@ -1241,7 +1242,8 @@ impl PseudoMersenne for Fp128

{ } #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] - #[cfg_attr(feature = "terminal-contraction", inline(always))] fn inline_weighted_dot(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Option { + #[cfg_attr(feature = "terminal-contraction", inline(always))] + fn inline_weighted_dot(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Option { Self::inline_accumulators().then(|| Self::inline_weighted_dot_kernel(rows, weights, pows)) } @@ -1312,7 +1314,9 @@ impl Fp128

{ } } - #[rustfmt::skip] #[cfg_attr(feature = "terminal-contraction", inline(always))] fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { + #[rustfmt::skip] + #[cfg_attr(feature = "terminal-contraction", inline(always))] + fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`, so a slice // of it, and a slice of such slices, have the limb slices' layout. let cast = |slice: &[Self]| -> &[[u64; 2]] { From c91de2fb47224e39f6f1d9c0d6a06bd15dd7410e Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 08:46:43 +0000 Subject: [PATCH 089/131] style(jolt-akita): import the one-hot types in the host stub of the prevalidated catalog --- crates/jolt-akita/src/prevalidated_catalog.rs | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/crates/jolt-akita/src/prevalidated_catalog.rs b/crates/jolt-akita/src/prevalidated_catalog.rs index 8f9d625fe6..2747e87bd6 100644 --- a/crates/jolt-akita/src/prevalidated_catalog.rs +++ b/crates/jolt-akita/src/prevalidated_catalog.rs @@ -77,10 +77,9 @@ mod compiled { } #[cfg(not(target_arch = "riscv64"))] mod compiled { - pub(super) fn rebuild( - _family: super::OneHotFamily, - _view: &[u8], - ) -> Option { + use super::{AkitaOneHotBackendScheme, OneHotFamily}; + + pub(super) fn rebuild(_family: OneHotFamily, _view: &[u8]) -> Option { None } } From 2b1dcb555e30aba7f975a5de4a921a87880f754c Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 10:39:12 +0000 Subject: [PATCH 090/131] build(akita): move the Akita pin to b90491fa b90491fa is the previous pin bcc1f30c plus four optional, default-off verifier features and one comment-only commit: lazy-scan-errors (the setup-scan kernels build InvalidProof only on the failure path), digest-nozero (the prevalidated verifier view copies its row digests without zero-filling first), golomb-word (doubleword table and packed doubleword stores in the terminal z Golomb-Rice decoder) and fill-ingress (each bounded equality-fill run is scaled through Field::scale_slice_into). With the features off the Akita sources keep every line. Only the pin, its comment and the lockfile sources change. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 32 ++++++++++++++++---------------- 2 files changed, 32 insertions(+), 32 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 183877eae8..9362d36f27 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=bcc1f30c200418e0a3a9506e9310b7345a5ee74c#bcc1f30c200418e0a3a9506e9310b7345a5ee74c" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index f4c2d9e361..632cc1b027 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,22 +306,22 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit bcc1f30c, the previous pin 334379a1 (f238e0e2, that is -# 178e2f0f plus the change in LayerZero-Labs/akita#276, plus the optional -# segment-setup and terminal-contraction scans) plus the fused setup-scan job -# kept inline under terminal-contraction and the optional prevalidated verifier -# view rebuild (prevalidated-catalog), fetched from LayerZero-Labs/akita -# by hash. Repin to the merge commit on markos/recursion-integration once those -# changes land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "bcc1f30c200418e0a3a9506e9310b7345a5ee74c", default-features = false } +# Akita pin: commit b90491fa, the previous pin bcc1f30c (334379a1, that is +# f238e0e2 plus the optional segment-setup and terminal-contraction scans, plus +# the fused setup-scan job kept inline under terminal-contraction and the +# optional prevalidated verifier view rebuild) plus four optional, default-off +# verifier features (lazy-scan-errors, digest-nozero, golomb-word and +# fill-ingress), fetched from LayerZero-Labs/akita by hash. Repin to the merge +# commit on markos/recursion-integration once those changes land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From aa7207c27d612a3795cb1f317edac39f0978a6b7 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 10:40:37 +0000 Subject: [PATCH 091/131] feat(recursion): add five default-off verifier guest features Each feature keeps the field values, proofs and transcripts and is forwarded from the recursion host to the verifier guest (and to the host's Akita) only when `akita` is enabled: - lazy-scan-errors: Akita's setup-scan kernels build InvalidProof only on the failure path. - digest-nozero: with prevalidated-catalog, the verifier view rebuild copies its row digests without zero-filling first. - golomb-word: doubleword trailing-ones table and packed doubleword stores in Akita's terminal z Golomb-Rice decoder. - bytecode-fold (jolt-claims): the stage 6b bytecode read-RAF fold indexes its flag classes through a direct word table, with open addressing kept for keys beyond it; same classes, sums and first error. - fill-ingress (jolt-field, Akita): Field::scale_slice_into, which a field-inline Fp128 guest serves by loading the scale once per slice; Akita's bounded equality fill scales each run through it. All five are off by default. --- crates/jolt-akita/Cargo.toml | 10 ++ crates/jolt-claims/Cargo.toml | 3 + .../src/protocols/jolt/geometry/bytecode.rs | 139 ++++++++++++++++++ crates/jolt-field/Cargo.toml | 3 + crates/jolt-field/src/algebra.rs | 23 +++ crates/jolt-field/src/field_inline.rs | 26 ++++ crates/jolt-field/src/solinas/fp128.rs | 33 +++++ examples/recursion/Cargo.toml | 15 ++ examples/recursion/guest/Cargo.toml | 5 + examples/recursion/src/main.rs | 10 ++ 10 files changed, 267 insertions(+) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 0f9b7bd3ca..6336d4a686 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -14,6 +14,11 @@ terminal-contraction = [ "jolt-field/terminal-contraction", ] segment-setup = ["akita-pcs/segment-setup"] +# Verifier features (default off): setup-scan errors built only on failure, +# prevalidated row digests copied without a zero fill, packed terminal z decode. +lazy-scan-errors = ["akita-pcs/lazy-scan-errors"] +digest-nozero = ["akita-schedules/digest-nozero"] +golomb-word = ["akita-types/golomb-word", "akita-params/golomb-word"] default = ["parallel"] # Akita's rayon-backed kernels and backend thread pool. A single-core zkVM # guest builds without it; Jolt's own prover kernels in this crate still link @@ -48,6 +53,11 @@ prevalidated-catalog = [ "akita-config/prevalidated-catalog", "akita-schedules/prevalidated-catalog", ] +# Verifier features (default off): direct flag-class index in the bytecode +# fold (Jolt), one scale ingress per bounded run in the Akita equality-window +# fill. +bytecode-fold = ["jolt-claims/bytecode-fold"] +fill-ingress = ["akita-algebra/fill-ingress", "jolt-field/fill-ingress"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/crates/jolt-claims/Cargo.toml b/crates/jolt-claims/Cargo.toml index f7d780a14f..06f88307db 100644 --- a/crates/jolt-claims/Cargo.toml +++ b/crates/jolt-claims/Cargo.toml @@ -24,6 +24,9 @@ immutable-recipes = [ "jolt-field/solinas", ] immutable-recipes-record = ["immutable-recipes"] +# Bytecode fold (default off): direct flag-class index in the +# stage 6b bytecode read-RAF fold. Same values. +bytecode-fold = [] [dependencies] allocative = { workspace = true, optional = true } diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/bytecode.rs b/crates/jolt-claims/src/protocols/jolt/geometry/bytecode.rs index 26b8ea12c7..c353050ca3 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/bytecode.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/bytecode.rs @@ -751,6 +751,7 @@ fn stage_gammas<'a, F>(inputs: &BytecodeReadRafStageValueInputs<'a, F>) -> [&'a /// # Errors /// /// Rejects an `address_eq` whose length differs from the bytecode table's. +#[cfg(not(feature = "bytecode-fold"))] pub fn read_raf_fold_stage_values( inputs: BytecodeReadRafStageValueInputs<'_, F>, address_eq: &[F], @@ -1008,6 +1009,144 @@ pub fn bytecode_ra(index: usize) -> JoltOpeningId { ) } +// `bytecode-fold` (default off): the same fold with the flag +// classes indexed directly by key. `flag_class` packs an 8-bit instruction tag +// above four low bits, so every key is below `DIRECT_FLAG_KEYS` and indexes a +// word table holding `class + 1` (zero for an unseen key); a larger key would +// take the open-addressing path. Same classes in the same first-seen order, +// same sums, same result and first error. +#[cfg(feature = "bytecode-fold")] +const DIRECT_FLAG_KEYS: usize = 1 << 12; + +#[cfg(feature = "bytecode-fold")] +struct DirectFlagClasses { + direct: Vec, + /// Open-addressing classes for keys beyond the direct table (built on + /// first use) and each such class's shared index. + fallback: Option<(FlagClasses, Vec)>, + rows: usize, + count: usize, +} + +#[cfg(feature = "bytecode-fold")] +impl DirectFlagClasses { + fn with_rows(rows: usize) -> Self { + Self { + direct: vec![0; DIRECT_FLAG_KEYS], + fallback: None, + rows, + count: 0, + } + } + + /// The index of `key`'s class, and whether this call created it. + #[inline(always)] + fn index(&mut self, key: u32) -> (usize, bool) { + if let Some(slot) = self.direct.get_mut(key as usize) { + if *slot != 0 { + return (*slot - 1, false); + } + let class = self.count; + self.count += 1; + *slot = class + 1; + return (class, true); + } + // Keys beyond the direct table share the class numbering. + let rows = self.rows; + let (fallback, shared) = self + .fallback + .get_or_insert_with(|| (FlagClasses::with_rows(rows), Vec::new())); + let (local, created) = fallback.index(key); + if created { + let class = self.count; + self.count += 1; + shared.push(class); + return (class, true); + } + (shared[local], false) + } +} + +/// `Σ_r address_eq[r] · stage_values(r)` over the bytecode rows (see the +/// feature-off function of the same name; flag classes indexed directly). +/// +/// # Errors +/// +/// Rejects an `address_eq` whose length differs from the bytecode table's. +#[cfg(feature = "bytecode-fold")] +pub fn read_raf_fold_stage_values( + inputs: BytecodeReadRafStageValueInputs<'_, F>, + address_eq: &[F], +) -> Result<[F; NUM_BYTECODE_VAL_STAGES], PointGeometryError> +where + F: JoltField, +{ + if inputs.bytecode.len() != address_eq.len() { + return Err(PointGeometryError::EvaluationDomainLengthMismatch { + expected: inputs.bytecode.len(), + got: address_eq.len(), + }); + } + let register_eq = read_raf_register_eq_evals( + inputs.register_read_write_point, + inputs.register_val_evaluation_point, + ); + let registers = register_eq.read_write.len(); + let mut gamma_buckets: [Vec; 5] = + std::array::from_fn(|stage| vec![F::zero(); BYTECODE_STAGE_GAMMA_COUNTS[stage]]); + let mut register_buckets: [Vec; 3] = std::array::from_fn(|_| vec![F::zero(); registers]); + let mut store = F::zero(); + let rows = inputs.bytecode.len(); + let mut addresses = Vec::with_capacity(rows); + let mut imms = Vec::with_capacity(rows); + let mut classes = DirectFlagClasses::with_rows(rows); + let mut class_weights: Vec = Vec::new(); + let mut class_rows: Vec<&JoltInstructionRow> = Vec::new(); + for (instruction, &eq) in inputs.bytecode.iter().zip(address_eq) { + let (class, created) = classes.index(instruction.flag_class()); + if created { + class_weights.push(F::zero()); + class_rows.push(instruction); + } + class_weights[class] += eq; + let operands = instruction.integer_operands(); + for (bucket, register) in + register_buckets + .iter_mut() + .zip([operands.rd, operands.rs1, operands.rs2]) + { + if let Some(slot) = register.and_then(|register| bucket.get_mut(register as usize)) { + *slot += eq; + } + } + addresses.push(F::from_u64(instruction.address as u64)); + imms.push(F::from_i128(instruction.operands.imm)); + } + for (instruction, &weight) in class_rows.iter().zip(&class_weights) { + if read_raf_flag_terms(instruction, |stage, index| { + gamma_buckets[stage][index] += weight; + }) { + store += weight; + } + } + let eq = address_eq; + let gammas = stage_gammas(&inputs); + let weighted_read_write = register_eq.weighted_read_write(inputs.stage4_gammas); + Ok(assemble_stage_values( + F::dot_product(&addresses, eq), + F::dot_product(&imms, eq), + std::array::from_fn(|stage| F::dot_product(gammas[stage], &gamma_buckets[stage])), + &gammas, + weighted_read_write + .iter() + .zip(®ister_buckets) + .map(|(weights, bucket)| F::dot_product(weights, bucket)) + .fold(F::zero(), |sum, term| sum + term), + F::dot_product(®ister_eq.val_evaluation, ®ister_buckets[0]), + store, + )) +} + #[cfg(test)] mod tests { use super::*; diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index 9142b89e49..fe0db78f82 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -57,6 +57,9 @@ field-inline-horner-triplet = ["field-inline-horner"] word-transcript = [] word-decode = [] immutable-recipes = [] +# Fill ingress (default off): `Field::scale_slice_into`, with a +# field-inline Fp128 kernel that loads the scale once per slice. Same values. +fill-ingress = [] [dev-dependencies] # The spine test's oracle field must satisfy `JoltField`, which requires diff --git a/crates/jolt-field/src/algebra.rs b/crates/jolt-field/src/algebra.rs index e5e52df541..c388c16584 100644 --- a/crates/jolt-field/src/algebra.rs +++ b/crates/jolt-field/src/algebra.rs @@ -199,6 +199,8 @@ pub trait Field: Ring { } #[cfg(feature = "terminal-contraction")] crate::terminal_contraction::field_methods!(); + #[cfg(feature = "fill-ingress")] + crate::algebra::fill_ingress_field_method!(); /// `Σ ±terms[i]`: each term is subtracted when its flag is set and added /// otherwise. Fields with a batched guest path (a register-resident sum /// read out once) override this. @@ -639,3 +641,24 @@ pub(crate) fn signed_i16_dot_fold( sum + weight * F::from_i64(i64::from(value)) }) } + +// `fill-ingress` (default off): `Field::scale_slice_into`, the +// slice product `dst[i] = src[i] * scale` over the shorter of the two slices. +// The default multiplies in software; a field with a field-inline guest path +// overrides it to load the scale once per call. The trait gains the method +// from this macro, invoked inside the trait next to the terminal-contraction +// methods. +#[cfg(feature = "fill-ingress")] +macro_rules! fill_ingress_field_method { + () => { + /// `dst[i] = src[i] * scale` over the shorter of the two slices. + #[inline] + fn scale_slice_into(scale: Self, src: &[Self], dst: &mut [Self]) { + dst.iter_mut() + .zip(src) + .for_each(|(value, &low_value)| *value = low_value * scale); + } + }; +} +#[cfg(feature = "fill-ingress")] +pub(crate) use fill_ingress_field_method; diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs index 1d0d31d533..d60e0e6ef0 100644 --- a/crates/jolt-field/src/field_inline.rs +++ b/crates/jolt-field/src/field_inline.rs @@ -663,3 +663,29 @@ pub use guest::{ pub use guest::signed_i16_dot; #[cfg(feature = "field-inline-horner")] pub(crate) mod horner; + +// `fill-ingress` (default off): `out(i, src[i] * scale)` with +// `scale` loaded into `REG_B` once. Each element is loaded into `REG_A`, +// multiplied into `REG_OUT` and read out canonically (the caller range checks +// the limbs). Only the operand, output and readout scratch registers are +// written; no caller code but `out` (integer work on the readout) runs while +// the scale is resident. Canonical limbs. +#[cfg(feature = "fill-ingress")] +pub(crate) mod scale { + use super::guest::{load, read_out}; + use super::{emit, REG_A, REG_B, REG_OUT}; + + #[inline(always)] + pub(crate) fn scale_into( + scale: &[u64; N], + src: &[[u64; N]], + mut out: impl FnMut(usize, [u64; N]), + ) { + load(REG_B, scale); + for (index, value) in src.iter().enumerate() { + load(REG_A, value); + emit::mul_out(); + out(index, read_out(REG_OUT)); + } + } +} diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index 791f2d88f6..3223f3ee98 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1079,6 +1079,10 @@ impl Field for Fp128

{ } #[cfg(feature = "terminal-contraction")] crate::terminal_contraction::fp128_methods!(); + #[cfg(feature = "fill-ingress")] + fn scale_slice_into(scale: Self, src: &[Self], dst: &mut [Self]) { + Self::fill_ingress_scale(scale, src, dst) + } #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] #[inline] fn signed_sum<'a>(terms: impl IntoIterator) -> Self @@ -1482,6 +1486,35 @@ impl Fp128

{ } } +// `fill-ingress` (default off): on a guest whose field-inline +// unit computes in this field, the slice product loads `scale` into a field +// register once and each element costs its own ingress, one multiply and one +// canonical readout (range checked as every field-inline result is). The +// kernel uses only the operand, output and readout scratch registers, never +// the accumulators that `signed_sum` lends out, and runs no caller code while +// the scale is resident. Elsewhere, the software product. +#[cfg(feature = "fill-ingress")] +impl Fp128

{ + #[inline] + fn fill_ingress_scale(scale: Self, src: &[Self], dst: &mut [Self]) { + let len = src.len().min(dst.len()); + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + if Self::FIELD_INLINE && len >= 2 { + // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`. + let src: &[[u64; 2]] = unsafe { core::slice::from_raw_parts(src.as_ptr().cast(), len) }; + let dst = &mut dst[..len]; + crate::field_inline::scale::scale_into(&scale.0, src, |index, limbs| { + dst[index] = Self::from_inline_limbs(limbs); + }); + return; + } + dst[..len] + .iter_mut() + .zip(&src[..len]) + .for_each(|(value, &low_value)| *value = low_value * scale); + } +} + #[cfg(test)] mod wide_tests { use super::*; diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 2a06b1ce69..c408a0da91 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -116,6 +116,21 @@ prevalidated-catalog = [ "dep:sha2", "dep:hex", ] +# Verifier features (effective only with `akita`), each forwarded to the +# verifier guest and to the host's Akita; same field values, proofs and +# transcripts. +# lazy-scan-errors: the setup-scan kernels build InvalidProof only on failure. +lazy-scan-errors = ["jolt-akita?/lazy-scan-errors"] +# digest-nozero: the prevalidated catalog rebuild copies its row digests +# directly instead of zero-filling first (needs prevalidated-catalog). +digest-nozero = ["prevalidated-catalog", "jolt-akita?/digest-nozero"] +# golomb-word: doubleword trailing-ones table and packed doubleword stores in +# the terminal z Golomb-Rice decoder. +golomb-word = ["jolt-akita?/golomb-word"] +# bytecode-fold: direct flag-class index in the stage 6b bytecode fold. +bytecode-fold = ["jolt-akita?/bytecode-fold"] +# fill-ingress: one scale ingress per bounded run in the Akita equality fill. +fill-ingress = ["jolt-akita?/fill-ingress"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 4c37399433..fd0f80319f 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -54,6 +54,11 @@ weighted-dot-horner-triplet = [ tensor-eq-runs = ["akita", "jolt-akita/tensor-eq-runs"] setup-sop-structured = ["akita", "jolt-akita/setup-sop-structured"] prevalidated-catalog = ["akita", "jolt-akita/prevalidated-catalog"] +lazy-scan-errors = ["akita", "jolt-akita/lazy-scan-errors"] +digest-nozero = ["prevalidated-catalog", "jolt-akita/digest-nozero"] +golomb-word = ["akita", "jolt-akita/golomb-word"] +bytecode-fold = ["akita", "jolt-akita/bytecode-fold"] +fill-ingress = ["akita", "jolt-akita/fill-ingress"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index a3506f7d1d..f927c79a44 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -940,6 +940,16 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("weighted-dot-horner-triplet"); #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] program.add_guest_feature("prevalidated-catalog"); + #[cfg(all(feature = "akita", feature = "lazy-scan-errors"))] + program.add_guest_feature("lazy-scan-errors"); + #[cfg(all(feature = "akita", feature = "digest-nozero"))] + program.add_guest_feature("digest-nozero"); + #[cfg(all(feature = "akita", feature = "golomb-word"))] + program.add_guest_feature("golomb-word"); + #[cfg(all(feature = "akita", feature = "bytecode-fold"))] + program.add_guest_feature("bytecode-fold"); + #[cfg(all(feature = "akita", feature = "fill-ingress"))] + program.add_guest_feature("fill-ingress"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) } From ff7b048e584032ebe978a1494a2911f33e5ed330 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 10:40:48 +0000 Subject: [PATCH 092/131] feat(recursion): turn the five verifier guest features on by default lazy-scan-errors, digest-nozero, golomb-word, bytecode-fold and fill-ingress join the recursion host's default features, after weighted-dot-horner-triplet. Builds without `akita` do not pull Akita in; `--no-default-features` turns all of them off. --- examples/recursion/Cargo.toml | 11 +++++++++++ 1 file changed, 11 insertions(+) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index c408a0da91..cc8bcd68c9 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -77,6 +77,12 @@ akita = [ # weighted-dot-horner-triplet: inside each full five-row block of 64 two-limb # elements, the verifier guest's Horner weighted dot advances every row by three # coefficients per pointer and branch group; same field values. Default on. +# lazy-scan-errors, digest-nozero, golomb-word, bytecode-fold, fill-ingress: the +# verifier guest (and the host's Akita) build the setup-scan InvalidProof error +# only on the failure path, copy the prevalidated row digests without a zero +# fill, decode the terminal z Golomb-Rice stream by doubleword, index the stage +# 6b bytecode fold by flag class directly and scale each bounded equality-fill +# run once; same field values. Default on; effective only with `akita`. default = [ "l3-compression-weights", "l2-terminal-quotient", @@ -92,6 +98,11 @@ default = [ "terminal-contraction", "prevalidated-catalog", "weighted-dot-horner-triplet", + "lazy-scan-errors", + "digest-nozero", + "golomb-word", + "bytecode-fold", + "fill-ingress", ] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] From b1c26e9874d046a79f8d253fb3d24e4fc4422e58 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 11:35:49 +0000 Subject: [PATCH 093/131] style(jolt-field): end the fill-ingress forwarding call with a semicolon Clippy's semicolon_if_nothing_returned (pedantic, denied by -D warnings) flags the unit-valued tail call in Fp128's scale_slice_into. Adding the semicolon does not change the generated code. --- crates/jolt-field/src/solinas/fp128.rs | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index 3223f3ee98..670fc107c8 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1081,7 +1081,7 @@ impl Field for Fp128

{ crate::terminal_contraction::fp128_methods!(); #[cfg(feature = "fill-ingress")] fn scale_slice_into(scale: Self, src: &[Self], dst: &mut [Self]) { - Self::fill_ingress_scale(scale, src, dst) + Self::fill_ingress_scale(scale, src, dst); } #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] #[inline] From 54b6c97d6800d78708f5368e0d3a2fe9bc826579 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 15:17:57 +0000 Subject: [PATCH 094/131] build(akita): move the Akita pin to b215e829 b215e829 is the previous pin b90491fa plus the optional, default-off setup-lane-streams root setup scan (each lane streamed with its row scales hoisted; implies terminal-contraction) and its import gate. With the feature off the Akita sources keep every line. Only the pin, its comment and the lockfile sources change. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 30 ++++++++++++++---------------- 2 files changed, 30 insertions(+), 32 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 9362d36f27..ecf3960895 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b90491fa0c3cfa56b3b9b14e117534a79169636e#b90491fa0c3cfa56b3b9b14e117534a79169636e" +source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 632cc1b027..92356ce2bf 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,22 +306,20 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit b90491fa, the previous pin bcc1f30c (334379a1, that is -# f238e0e2 plus the optional segment-setup and terminal-contraction scans, plus -# the fused setup-scan job kept inline under terminal-contraction and the -# optional prevalidated verifier view rebuild) plus four optional, default-off -# verifier features (lazy-scan-errors, digest-nozero, golomb-word and -# fill-ingress), fetched from LayerZero-Labs/akita by hash. Repin to the merge -# commit on markos/recursion-integration once those changes land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "b90491fa0c3cfa56b3b9b14e117534a79169636e", default-features = false } +# Akita pin: commit b215e829, the previous pin b90491fa (bcc1f30c plus four +# optional, default-off verifier features: lazy-scan-errors, digest-nozero, +# golomb-word and fill-ingress) plus the optional, default-off root setup scan +# setup-lane-streams, fetched from LayerZero-Labs/akita by hash. Repin to the +# merge commit on markos/recursion-integration once those changes land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From c3b65ff9677287416c3be40dfa3ea400b97ce4ae Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 15:18:19 +0000 Subject: [PATCH 095/131] feat(recursion): add the default-off setup-lane-streams verifier guest feature jolt-akita forwards setup-lane-streams to akita-pcs. The recursion host reaches it through a weak dependency edge and forwards it to the verifier guest only with akita, so builds without akita do not pull akita in. Field values, proofs, Akita proof bytes and transcripts are unchanged. --- crates/jolt-akita/Cargo.toml | 3 +++ examples/recursion/Cargo.toml | 3 +++ examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/main.rs | 2 ++ 4 files changed, 9 insertions(+) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 6336d4a686..495a82d4df 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -58,6 +58,9 @@ prevalidated-catalog = [ # fill. bytecode-fold = ["jolt-claims/bytecode-fold"] fill-ingress = ["akita-algebra/fill-ingress", "jolt-field/fill-ingress"] +# Root setup scan by lane with hoisted row scales (default off; implies +# terminal-contraction on the Akita side). +setup-lane-streams = ["akita-pcs/setup-lane-streams"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index cc8bcd68c9..eb774ee7d8 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -142,6 +142,9 @@ golomb-word = ["jolt-akita?/golomb-word"] bytecode-fold = ["jolt-akita?/bytecode-fold"] # fill-ingress: one scale ingress per bounded run in the Akita equality fill. fill-ingress = ["jolt-akita?/fill-ingress"] +# setup-lane-streams: the root setup scan streams each lane with its row +# scales hoisted. +setup-lane-streams = ["jolt-akita?/setup-lane-streams"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index fd0f80319f..cb8d3d3af3 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -59,6 +59,7 @@ digest-nozero = ["prevalidated-catalog", "jolt-akita/digest-nozero"] golomb-word = ["akita", "jolt-akita/golomb-word"] bytecode-fold = ["akita", "jolt-akita/bytecode-fold"] fill-ingress = ["akita", "jolt-akita/fill-ingress"] +setup-lane-streams = ["akita", "jolt-akita/setup-lane-streams"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index f927c79a44..dbedb7c31a 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -950,6 +950,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("bytecode-fold"); #[cfg(all(feature = "akita", feature = "fill-ingress"))] program.add_guest_feature("fill-ingress"); + #[cfg(all(feature = "akita", feature = "setup-lane-streams"))] + program.add_guest_feature("setup-lane-streams"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) } From f6c72c390fed5cfd798764242d6e1beb4e07b0de Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 15:18:19 +0000 Subject: [PATCH 096/131] feat(recursion): turn setup-lane-streams on by default The recursion host enables setup-lane-streams by default and forwards it to the verifier guest, so the stock feature list builds with it. Field values, proofs, Akita proof bytes and transcripts are unchanged. Turn it off with --no-default-features. --- examples/recursion/Cargo.toml | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index eb774ee7d8..64cad4f366 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -83,6 +83,9 @@ akita = [ # fill, decode the terminal z Golomb-Rice stream by doubleword, index the stage # 6b bytecode fold by flag class directly and scale each bounded equality-fill # run once; same field values. Default on; effective only with `akita`. +# setup-lane-streams: the verifier guest (and the host's Akita) stream each lane +# of the root setup scan with its row scales hoisted; same field values. Default +# on; effective only with `akita`. default = [ "l3-compression-weights", "l2-terminal-quotient", @@ -103,6 +106,7 @@ default = [ "golomb-word", "bytecode-fold", "fill-ingress", + "setup-lane-streams", ] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] From 261899ccc07d9e70d08bb54e9b12c6de58a0da48 Mon Sep 17 00:00:00 2001 From: acentelles Date: Wed, 28 Oct 2026 17:54:01 +0000 Subject: [PATCH 097/131] fix(jolt-akita): align the embedded prevalidated catalog view to 8 bytes The generated prevalidated catalog file stored the view bytes as an alignment-1 array. The run-time check compares them with the setup copy, which is 8-aligned, and the comparison takes its word loop only when both addresses agree modulo 8. Depending on how the guest data happened to be laid out, the comparison could fall into its byte loop. Store the bytes in an 8-aligned wrapper so the comparison stays on the word path. The bytes, digests and accept set are unchanged. --- crates/jolt-akita/src/prevalidated_catalog.rs | 71 +++++++++++++++++-- 1 file changed, 65 insertions(+), 6 deletions(-) diff --git a/crates/jolt-akita/src/prevalidated_catalog.rs b/crates/jolt-akita/src/prevalidated_catalog.rs index 2747e87bd6..33ee5a35d4 100644 --- a/crates/jolt-akita/src/prevalidated_catalog.rs +++ b/crates/jolt-akita/src/prevalidated_catalog.rs @@ -71,6 +71,20 @@ fn rebuild_one( TrustedScheduleCatalog::::from_prevalidated_verifier_view(view, prevalidated).map(variant) } +/// The generated file's view bytes, aligned to 8 bytes. The setup section +/// embeds the same bytes 8-aligned, and the run-time comparison of the two +/// copies takes its word loop only when both addresses agree modulo 8, so the +/// alignment keeps that comparison independent of the guest's data layout. +#[cfg_attr( + all(not(target_arch = "riscv64"), not(test)), + expect( + dead_code, + reason = "only the generated guest file and the tests name it" + ) +)] +#[repr(C, align(8))] +struct AlignedViewBytes([u8; N]); + #[cfg(target_arch = "riscv64")] mod compiled { include!(env!("JOLT_PREVALIDATED_CATALOG_RS")); @@ -153,15 +167,60 @@ pub(crate) fn render(family: OneHotFamily, view: &[u8]) -> Result>() .join(","); - Ok(format!( - "static VIEW: akita_schedules::PrevalidatedVerifierView<'static> = akita_schedules::PrevalidatedVerifierView {{\nview: &[{}],\npolicy_digest: [{}],\ncatalog_digest: [{}],\ncarried_row_digests: &[{}],\n}};\npub(super) fn rebuild(family: super::OneHotFamily, view: &[u8]) -> Option {{\nsuper::rebuild_one::(family, super::OneHotFamily::{variant}, |catalog| super::AkitaOneHotBackendScheme::{variant}(akita_pcs::AkitaCommitmentScheme::new(catalog)), view, &VIEW)\n}}\n", - bytes(view), - bytes(&record.policy_digest), - bytes(&record.catalog_digest), - rows, + Ok(source( + variant, + view.len(), + &bytes(view), + &bytes(&record.policy_digest), + &bytes(&record.catalog_digest), + &rows, )) } +/// Host: the generated file's text from its rendered parts. The view bytes +/// go into an `AlignedViewBytes` static that the view borrows. +#[cfg(not(target_arch = "riscv64"))] +fn source( + variant: &str, + view_len: usize, + view: &str, + policy_digest: &str, + catalog_digest: &str, + rows: &str, +) -> String { + format!( + "static VIEW_BYTES: super::AlignedViewBytes<{view_len}> = super::AlignedViewBytes([{view}]);\nstatic VIEW: akita_schedules::PrevalidatedVerifierView<'static> = akita_schedules::PrevalidatedVerifierView {{\nview: &VIEW_BYTES.0,\npolicy_digest: [{policy_digest}],\ncatalog_digest: [{catalog_digest}],\ncarried_row_digests: &[{rows}],\n}};\npub(super) fn rebuild(family: super::OneHotFamily, view: &[u8]) -> Option {{\nsuper::rebuild_one::(family, super::OneHotFamily::{variant}, |catalog| super::AkitaOneHotBackendScheme::{variant}(akita_pcs::AkitaCommitmentScheme::new(catalog)), view, &VIEW)\n}}\n", + ) +} + /// Host: the generated file's source with no prevalidated view (every /// lookup misses and the canonical path runs). pub const EMPTY_PREVALIDATED_CATALOG_SOURCE: &str = "pub(super) fn rebuild(_family: super::OneHotFamily, _view: &[u8]) -> Option {\nNone\n}\n"; + +#[cfg(all(test, not(target_arch = "riscv64")))] +mod tests { + use super::{source, AlignedViewBytes}; + + #[test] + fn view_bytes_static_is_8_aligned() { + static BYTES: AlignedViewBytes<11> = AlignedViewBytes([7; 11]); + assert_eq!(core::mem::align_of::>(), 8); + assert_eq!(BYTES.0.as_ptr().addr() % 8, 0); + let view: &'static [u8] = &BYTES.0; + assert_eq!(view, &[7; 11]); + } + + #[test] + fn generated_source_borrows_the_aligned_view_bytes() { + let text = source("K16Single", 3, "1,2,3", "4", "5", "[6]"); + assert!(text.starts_with( + "static VIEW_BYTES: super::AlignedViewBytes<3> = super::AlignedViewBytes([1,2,3]);\n" + )); + assert!(text.contains("\nview: &VIEW_BYTES.0,\npolicy_digest: [4],\ncatalog_digest: [5],\ncarried_row_digests: &[[6]],\n};\n")); + assert!(text.contains( + "super::rebuild_one::(family, super::OneHotFamily::K16Single," + )); + assert_eq!(text.matches("1,2,3").count(), 1); + assert_eq!(text.matches("static ").count(), 2); + } +} From 629e620ff38c41958e238cb4ff880cede239b7ee Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 00:01:54 +0000 Subject: [PATCH 098/131] build(akita): move the Akita pin to d04bf51f d04bf51f is the previous pin b215e829 plus the optional, default-off compiled carry-state graphs for the eq-pair tensor recurrences (akita-algebra/carry-graph). With the feature off the Akita sources keep every line. Only the pin, its comment and the lockfile sources change. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 28 ++++++++++++++-------------- 2 files changed, 30 insertions(+), 30 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index ecf3960895..8f79f1aea6 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=b215e8298fa134e49576a5a6b5fb51befe67445b#b215e8298fa134e49576a5a6b5fb51befe67445b" +source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 92356ce2bf..19e0ff82e2 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,20 +306,20 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit b215e829, the previous pin b90491fa (bcc1f30c plus four -# optional, default-off verifier features: lazy-scan-errors, digest-nozero, -# golomb-word and fill-ingress) plus the optional, default-off root setup scan -# setup-lane-streams, fetched from LayerZero-Labs/akita by hash. Repin to the -# merge commit on markos/recursion-integration once those changes land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "b215e8298fa134e49576a5a6b5fb51befe67445b", default-features = false } +# Akita pin: commit d04bf51f, the previous pin b215e829 (b90491fa plus the +# optional, default-off root setup scan setup-lane-streams) plus the optional, +# default-off compiled carry-state graphs (carry-graph), fetched from +# LayerZero-Labs/akita by hash. Repin to the merge commit on +# markos/recursion-integration once those changes land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From 8dd635e2c741fe52c8797014824da4f358a01785 Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 00:02:17 +0000 Subject: [PATCH 099/131] feat(recursion): add the default-off carry-graph verifier guest feature With `carry-graph` (and `akita`), the host reads the padded trace length shared by the inner proofs in the stream it is about to verify, emits Akita's fixed carry-state graph source for that size, and names the file in JOLT_CARRY_GRAPH_RS for the verifier guest build only. The guest then evaluates the eq-pair tensor recurrences through the compiled graphs. The graphs depend only on the size, never on a proof's values. If the proofs do not share one supported size, or RECURSION_CARRY_GRAPH=off, the file holds no graph and the guest keeps the recurrence path. The graph file is part of the guest build cache key. --- crates/jolt-akita/Cargo.toml | 2 + crates/jolt-akita/src/lib.rs | 3 + examples/recursion/Cargo.toml | 2 + examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/carry_graph_source.rs | 105 +++++++++++++++++++ examples/recursion/src/main.rs | 11 ++ 6 files changed, 124 insertions(+) create mode 100644 examples/recursion/src/carry_graph_source.rs diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 495a82d4df..14fc1b10a6 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -61,6 +61,8 @@ fill-ingress = ["akita-algebra/fill-ingress", "jolt-field/fill-ingress"] # Root setup scan by lane with hoisted row scales (default off; implies # terminal-contraction on the Akita side). setup-lane-streams = ["akita-pcs/setup-lane-streams"] +# Compiled carry-state graphs for the eq-pair tensor recurrences (default off). +carry-graph = ["akita-algebra/carry-graph"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/crates/jolt-akita/src/lib.rs b/crates/jolt-akita/src/lib.rs index 0c711cdb40..3b2d97e67a 100644 --- a/crates/jolt-akita/src/lib.rs +++ b/crates/jolt-akita/src/lib.rs @@ -59,6 +59,9 @@ pub use trace_onehot::{no_selected_row, TraceOneHotColumn, TraceOneHotRows}; #[doc(hidden)] pub use adapters::{jolt_to_akita_evals, jolt_to_akita_index, reverse_point}; +#[cfg(feature = "carry-graph")] +pub use akita_algebra::offset_eq::carry_graph; + #[cfg(feature = "prevalidated-catalog")] mod prevalidated_catalog; #[cfg(feature = "prevalidated-catalog")] diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 64cad4f366..c44fe561b7 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -149,6 +149,8 @@ fill-ingress = ["jolt-akita?/fill-ingress"] # setup-lane-streams: the root setup scan streams each lane with its row # scales hoisted. setup-lane-streams = ["jolt-akita?/setup-lane-streams"] +# carry-graph: compiled carry-state graphs for the eq-pair tensor recurrences. +carry-graph = ["jolt-akita?/carry-graph"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index cb8d3d3af3..1552c64147 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -60,6 +60,7 @@ golomb-word = ["akita", "jolt-akita/golomb-word"] bytecode-fold = ["akita", "jolt-akita/bytecode-fold"] fill-ingress = ["akita", "jolt-akita/fill-ingress"] setup-lane-streams = ["akita", "jolt-akita/setup-lane-streams"] +carry-graph = ["akita", "jolt-akita/carry-graph"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/carry_graph_source.rs b/examples/recursion/src/carry_graph_source.rs new file mode 100644 index 0000000000..bf1c57cb15 --- /dev/null +++ b/examples/recursion/src/carry_graph_source.rs @@ -0,0 +1,105 @@ +//! Compiled carry-state graphs for the verifier-guest build (feature +//! `carry-graph`, default on with `akita`). +//! +//! Before the guest is built, the host reads the padded trace length of the +//! proofs in the stream it is about to verify and emits Akita's fixed +//! carry-state graph source for that size. It writes the source under the +//! guest target directory and names it in `JOLT_CARRY_GRAPH_RS` for that +//! build. If the proofs do not share one supported size, or +//! `RECURSION_CARRY_GRAPH=off`, it names a file with no graph: every lookup +//! misses and the guest keeps the recurrence path. A caller-set variable is +//! kept. The graphs are fixed per size and never taken from a proof's values. + +use crate::{read_raw, read_record, GuestProof, JoltDevice}; +use jolt_akita::carry_graph::emit_fixed_source; +use std::fs; +use std::path::{Path, PathBuf}; +use tracing::info; + +const VARIABLE: &str = "JOLT_CARRY_GRAPH_RS"; +/// `RECURSION_CARRY_GRAPH=off` skips emission: the guest gets no graph. +const SWITCH: &str = "RECURSION_CARRY_GRAPH"; +/// No graph, in the emitted file's form: every lookup misses. +const EMPTY: &str = "pub(super) static GRAPHS: &[Graph<'static>] = &[\n];\n"; + +/// Names the carry graph source for the next guest build. Returns whether the +/// variable was set here, for [`release`]. +pub(crate) fn prepare(stream: &[u8], target_dir: &str) -> bool { + if std::env::var_os(VARIABLE).is_some() { + info!(" carry graph: caller-supplied {VARIABLE}"); + return false; + } + let (name, source) = if std::env::var(SWITCH).as_deref() == Ok("off") { + info!(" carry graph: off; no graph, recurrence path"); + ("none".to_owned(), EMPTY.to_owned()) + } else { + match generate(stream) { + Ok((exponent, source)) => (exponent.to_string(), source), + Err(reason) => { + info!(" carry graph: none ({reason}); recurrence path"); + ("none".to_owned(), EMPTY.to_owned()) + } + } + }; + match write(&name, &source, target_dir) { + Ok(path) => { + info!(" carry graph file: {}", path.display()); + std::env::set_var(VARIABLE, &path); + true + } + Err(reason) => { + info!(" carry graph file not written: {reason}"); + false + } + } +} + +/// Removes the variable [`prepare`] set, so it does not outlive this build. +pub(crate) fn release(set_here: bool) { + if set_here { + std::env::remove_var(VARIABLE); + } +} + +/// The padded trace exponent shared by every proof of the stream, and the +/// fixed graph source Akita emits for it. +fn generate(stream: &[u8]) -> Result<(u32, String), String> { + let mut offset = 0; + // The verifier preprocessing record and the setup payloads are skipped. + read_raw(stream, &mut offset)?; + let payload_count: u32 = read_record(stream, &mut offset)?; + for _ in 0..payload_count { + read_raw(stream, &mut offset)?; + } + let proof_count: u32 = read_record(stream, &mut offset)?; + let mut shared = None; + for _ in 0..proof_count { + let proof: GuestProof = read_record(stream, &mut offset)?; + let _: JoltDevice = read_record(stream, &mut offset)?; + if shared.is_some_and(|length| length != proof.trace_length) { + return Err("the proofs do not share one trace length".to_owned()); + } + shared = Some(proof.trace_length); + } + let length = shared.ok_or("the stream holds no proof")?; + if offset != stream.len() || !length.is_power_of_two() { + return Err("the stream is not one setup and padded proofs".to_owned()); + } + let exponent = length.trailing_zeros(); + let source = emit_fixed_source(exponent).map_err(|error| format!("{error:?}"))?; + Ok((exponent, source)) +} + +/// Writes `source` under the guest target directory, one file per size, and +/// rewrites it only when its bytes change. +fn write(name: &str, source: &str, target_dir: &str) -> Result { + let directory = Path::new(target_dir).join("carry-graph"); + fs::create_dir_all(&directory).map_err(|error| error.to_string())?; + let path = directory.join(format!("graph-{name}.rs")); + if fs::read(&path).ok().as_deref() != Some(source.as_bytes()) { + let temporary = directory.join(format!("graph-{name}.rs.tmp-{}", std::process::id())); + fs::write(&temporary, source.as_bytes()).map_err(|error| error.to_string())?; + fs::rename(&temporary, &path).map_err(|error| error.to_string())?; + } + Ok(path) +} diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index dbedb7c31a..b01f4aaaa8 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -952,6 +952,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("fill-ingress"); #[cfg(all(feature = "akita", feature = "setup-lane-streams"))] program.add_guest_feature("setup-lane-streams"); + #[cfg(all(feature = "akita", feature = "carry-graph"))] + program.add_guest_feature("carry-graph"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) } @@ -1136,6 +1138,7 @@ sha256sum "$2" env | grep -E '^(ZEROOS_GUEST_RUSTFLAGS|CARGO_PROFILE_[A-Z0-9_]*|RUSTFLAGS|CARGO_ENCODED_RUSTFLAGS|CARGO_BUILD_[A-Z0-9_]*|RECURSION_GUEST_CODEGEN|JOLT_FUNC_NAME)=' | sort || true if [ -n "${JOLT_IMMUTABLE_RECIPES_RS:-}" ]; then echo immutable-recipes-tables; sha256sum < "$JOLT_IMMUTABLE_RECIPES_RS"; else echo immutable-recipes-tables-none; fi if [ -n "${JOLT_PREVALIDATED_CATALOG_RS:-}" ]; then echo prevalidated-catalog; sha256sum < "$JOLT_PREVALIDATED_CATALOG_RS"; else echo prevalidated-catalog-none; fi +if [ -n "${JOLT_CARRY_GRAPH_RS:-}" ]; then echo carry-graph; sha256sum < "$JOLT_CARRY_GRAPH_RS"; else echo carry-graph-none; fi echo "$3" } | sha256sum | cut -c1-64 "#; @@ -1398,6 +1401,10 @@ fn verify_proofs( &all_groups_data[..layout.setup_len], "/tmp/jolt-guest-targets", ); + // Carry graph: Akita's fixed carry-state graphs for the proofs' padded + // trace size, or no graph (recurrence path) for any other size. + #[cfg(all(feature = "akita", feature = "carry-graph"))] + let carry_graph = carry_graph_source::prepare(&all_groups_data, "/tmp/jolt-guest-targets"); run_recursion_proof( guest, run_config, @@ -1409,6 +1416,8 @@ fn verify_proofs( immutable_recipe_tables::release(recipe_tables); #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] prevalidated_catalog::release(prevalidated_catalog); + #[cfg(all(feature = "akita", feature = "carry-graph"))] + carry_graph_source::release(carry_graph); } fn main() { @@ -1529,6 +1538,8 @@ fn main() { } } +#[cfg(all(feature = "akita", feature = "carry-graph"))] +mod carry_graph_source; #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] mod immutable_recipe_generation; #[cfg(feature = "immutable-recipes")] From 9016407dab4f753b97259e787dd5e22229a5a041 Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 00:02:25 +0000 Subject: [PATCH 100/131] feat(recursion): turn carry-graph on by default --- examples/recursion/Cargo.toml | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index c44fe561b7..8835726add 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -86,6 +86,10 @@ akita = [ # setup-lane-streams: the verifier guest (and the host's Akita) stream each lane # of the root setup scan with its row scales hoisted; same field values. Default # on; effective only with `akita`. +# carry-graph: the host emits Akita's fixed carry-state graphs for the inner +# proofs' padded trace size and the verifier guest evaluates the eq-pair tensor +# recurrences through them (no graph for another size: recurrence path); same +# field values. Default on; effective only with `akita`. default = [ "l3-compression-weights", "l2-terminal-quotient", @@ -107,6 +111,7 @@ default = [ "bytecode-fold", "fill-ingress", "setup-lane-streams", + "carry-graph", ] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] From 44ee1e6a624fdba77ce141e7963ea894f09305ce Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 11:13:35 +0000 Subject: [PATCH 101/131] build(akita): move the Akita pin to 9f778c0c 9f778c0c is the previous pin d04bf51f plus two optional, default-off verifier features: MLE leaf tiles (akita-algebra/mle-leaf-tiles) and signed-byte challenge evaluation (akita-challenges/signed-byte-sum). With both features off the Akita sources keep every line. Only the pin, its comment and the lockfile sources change. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 29 +++++++++++++++-------------- 2 files changed, 31 insertions(+), 30 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 8f79f1aea6..bc8709771f 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4#d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4" +source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 19e0ff82e2..9b6e86cdf3 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,20 +306,21 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit d04bf51f, the previous pin b215e829 (b90491fa plus the -# optional, default-off root setup scan setup-lane-streams) plus the optional, -# default-off compiled carry-state graphs (carry-graph), fetched from -# LayerZero-Labs/akita by hash. Repin to the merge commit on -# markos/recursion-integration once those changes land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "d04bf51fb7334ca14e77a8a88aa5a03fb2bc33b4", default-features = false } +# Akita pin: commit 9f778c0c, the previous pin d04bf51f (b215e829 plus the +# optional, default-off compiled carry-state graphs, carry-graph) plus the +# optional, default-off MLE leaf tiles (mle-leaf-tiles) and signed-byte +# challenge evaluation (signed-byte-sum), fetched from LayerZero-Labs/akita by +# hash. Repin to the merge commit on markos/recursion-integration once those +# changes land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From db6506c1bfb70ba4ea39162e3d8afb9881a8b5b1 Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 11:14:29 +0000 Subject: [PATCH 102/131] feat(recursion): add the default-off mle-leaf-tiles and signed-byte-sum verifier guest features Two optional verifier features, both default off and both effective only with `akita`; each is forwarded to the verifier guest and to the host's Akita. Same field values, proofs and transcripts. - mle-leaf-tiles: Akita evaluates low-variable multilinear extensions by fixed leaf tiles (akita-pcs/mle-leaf-tiles). - signed-byte-sum: Akita evaluates a sparse challenge at powers by taking its signed byte coefficients in through one field sum. jolt-field gains the matching default-off feature `signed-byte-sum`: Field::sum_signed_bytes (a generic fold) and, in the field-inline guest, an Fp128 override that accumulates each nonzero coefficient's magnitude in the field accumulator register. tests/signed_byte_sum.rs checks the integer contract, including i8::MIN and the empty sum, for both 128-bit Solinas primes. --- crates/jolt-akita/Cargo.toml | 5 +++ crates/jolt-field/Cargo.toml | 1 + crates/jolt-field/src/algebra.rs | 2 + crates/jolt-field/src/field_inline.rs | 5 +++ .../src/field_inline/signed_byte_sum.rs | 30 +++++++++++++ crates/jolt-field/src/lib.rs | 2 + crates/jolt-field/src/signed_byte_sum.rs | 44 +++++++++++++++++++ crates/jolt-field/src/solinas/fp128.rs | 6 +++ crates/jolt-field/tests/signed_byte_sum.rs | 26 +++++++++++ examples/recursion/Cargo.toml | 5 +++ examples/recursion/guest/Cargo.toml | 2 + examples/recursion/src/main.rs | 4 ++ 12 files changed, 132 insertions(+) create mode 100644 crates/jolt-field/src/field_inline/signed_byte_sum.rs create mode 100644 crates/jolt-field/src/signed_byte_sum.rs create mode 100644 crates/jolt-field/tests/signed_byte_sum.rs diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 14fc1b10a6..50753b8329 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -63,6 +63,11 @@ fill-ingress = ["akita-algebra/fill-ingress", "jolt-field/fill-ingress"] setup-lane-streams = ["akita-pcs/setup-lane-streams"] # Compiled carry-state graphs for the eq-pair tensor recurrences (default off). carry-graph = ["akita-algebra/carry-graph"] +# Low-variable multilinear evaluation by fixed leaf tiles (default off). +mle-leaf-tiles = ["akita-pcs/mle-leaf-tiles"] +# Sparse challenge evaluation at powers through one signed-byte field sum +# (default off; enables jolt-field/signed-byte-sum on the Akita side). +signed-byte-sum = ["akita-pcs/signed-byte-sum"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index fe0db78f82..27baaa71b3 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -29,6 +29,7 @@ thiserror = { workspace = true } [features] terminal-contraction = [] +signed-byte-sum = [] default = ["bn254"] bn254 = ["dep:ark-ff", "dep:ark-serialize", "dep:ark-bn254"] solinas = [] diff --git a/crates/jolt-field/src/algebra.rs b/crates/jolt-field/src/algebra.rs index c388c16584..f395ef94b6 100644 --- a/crates/jolt-field/src/algebra.rs +++ b/crates/jolt-field/src/algebra.rs @@ -199,6 +199,8 @@ pub trait Field: Ring { } #[cfg(feature = "terminal-contraction")] crate::terminal_contraction::field_methods!(); + #[cfg(feature = "signed-byte-sum")] + crate::signed_byte_sum::field_methods!(); #[cfg(feature = "fill-ingress")] crate::algebra::fill_ingress_field_method!(); /// `Σ ±terms[i]`: each term is subtracted when its flag is set and added diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs index d60e0e6ef0..deb60d5da3 100644 --- a/crates/jolt-field/src/field_inline.rs +++ b/crates/jolt-field/src/field_inline.rs @@ -644,8 +644,13 @@ mod guest { } finish() } + + #[cfg(feature = "signed-byte-sum")] + include!("field_inline/signed_byte_sum.rs"); } +#[cfg(feature = "signed-byte-sum")] +pub use guest::sum_signed_bytes; pub use guest::{ accumulators_free, add, bind_modulus, dot, dot_rows, inv, mul, neg, signed_sum, sub, sum_of_products, weighted_dot_rows, diff --git a/crates/jolt-field/src/field_inline/signed_byte_sum.rs b/crates/jolt-field/src/field_inline/signed_byte_sum.rs new file mode 100644 index 0000000000..e06ce191b5 --- /dev/null +++ b/crates/jolt-field/src/field_inline/signed_byte_sum.rs @@ -0,0 +1,30 @@ +/// One operand ingress per signed byte, even for magnitude two. The iterator +/// may invoke field operations: keep the same accumulator lease as signed_sum. +#[inline(always)] +pub fn sum_signed_bytes<'a, const N: usize>( + terms: impl IntoIterator, +) -> [u64; N] { + debug_assert!(accumulators_free()); + ACC_LENT.store(true, Ordering::Relaxed); + emit::acc_zero(); + for (term, coefficient) in terms { + if coefficient == 0 { + continue; + } + load(REG_A, term); + // No iterator callback runs between these operations, so REG_A still + // contains term. unsigned_abs also covers the i8::MIN boundary. + if coefficient < 0 { + for _ in 0..coefficient.unsigned_abs() { + emit::acc_sub_a(); + } + } else { + for _ in 0..coefficient.unsigned_abs() { + emit::acc_add_a(); + } + } + } + let sum = read_out(REG_ACC); + ACC_LENT.store(false, Ordering::Relaxed); + sum +} diff --git a/crates/jolt-field/src/lib.rs b/crates/jolt-field/src/lib.rs index bc4737c2f2..00f0ad42a6 100644 --- a/crates/jolt-field/src/lib.rs +++ b/crates/jolt-field/src/lib.rs @@ -182,6 +182,8 @@ pub enum FieldError { InvalidSize { expected: usize, actual: usize }, } +#[cfg(feature = "signed-byte-sum")] +mod signed_byte_sum; #[cfg(feature = "terminal-contraction")] mod terminal_contraction; #[doc(hidden)] diff --git a/crates/jolt-field/src/signed_byte_sum.rs b/crates/jolt-field/src/signed_byte_sum.rs new file mode 100644 index 0000000000..d3dbe1ada3 --- /dev/null +++ b/crates/jolt-field/src/signed_byte_sum.rs @@ -0,0 +1,44 @@ +use crate::Field; + +pub(crate) fn fold<'a, F: Field + 'a>(terms: impl IntoIterator) -> F { + terms + .into_iter() + .fold(F::zero(), |sum, (value, coefficient)| { + sum + *value * F::from_i64(i64::from(coefficient)) + }) +} + +macro_rules! field_methods { + () => { + /// Sum of field values multiplied by signed bytes, including -128. + /// The empty sum is zero. Coefficients remain integers until consumed. + fn sum_signed_bytes<'a>(terms: impl IntoIterator) -> Self + where + Self: 'a, + { + $crate::signed_byte_sum::fold(terms) + } + }; +} +pub(crate) use field_methods; + +#[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] +macro_rules! fp128_methods { + () => { + fn sum_signed_bytes<'a>(terms: impl IntoIterator) -> Self + where + Self: 'a, + { + if !Self::inline_accumulators() { + return $crate::signed_byte_sum::fold(terms); + } + Self::from_inline_limbs($crate::field_inline::sum_signed_bytes( + terms + .into_iter() + .map(|(value, coefficient)| (&value.0, coefficient)), + )) + } + }; +} +#[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] +pub(crate) use fp128_methods; diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index 670fc107c8..d93c623185 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1079,6 +1079,12 @@ impl Field for Fp128

{ } #[cfg(feature = "terminal-contraction")] crate::terminal_contraction::fp128_methods!(); + #[cfg(all( + feature = "signed-byte-sum", + feature = "field-inline-guest", + target_arch = "riscv64" + ))] + crate::signed_byte_sum::fp128_methods!(); #[cfg(feature = "fill-ingress")] fn scale_slice_into(scale: Self, src: &[Self], dst: &mut [Self]) { Self::fill_ingress_scale(scale, src, dst); diff --git a/crates/jolt-field/tests/signed_byte_sum.rs b/crates/jolt-field/tests/signed_byte_sum.rs new file mode 100644 index 0000000000..d3f4aaea55 --- /dev/null +++ b/crates/jolt-field/tests/signed_byte_sum.rs @@ -0,0 +1,26 @@ +#![cfg(all(feature = "signed-byte-sum", feature = "solinas"))] + +use jolt_field::{Field, Prime128Offset275, Prime128OffsetA7F7}; + +fn signed_byte_boundaries() { + let values = [2, 3, 5, 7, 11].map(F::from_u64); + let coefficients = [i8::MIN, -2, 0, 1, i8::MAX]; + assert_eq!( + F::sum_signed_bytes(values.iter().zip(coefficients)), + F::from_i64(1142) + ); + assert_eq!(F::sum_signed_bytes([]), F::zero()); + let minus_one = F::from_i64(-1); + for coefficient in i8::MIN..=i8::MAX { + assert_eq!( + F::sum_signed_bytes([(&minus_one, coefficient)]), + F::from_i64(-i64::from(coefficient)) + ); + } +} + +#[test] +fn signed_byte_sum_integer_contract() { + signed_byte_boundaries::(); + signed_byte_boundaries::(); +} diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 8835726add..e98cc68d45 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -156,6 +156,11 @@ fill-ingress = ["jolt-akita?/fill-ingress"] setup-lane-streams = ["jolt-akita?/setup-lane-streams"] # carry-graph: compiled carry-state graphs for the eq-pair tensor recurrences. carry-graph = ["jolt-akita?/carry-graph"] +# mle-leaf-tiles: low-variable multilinear evaluation by fixed leaf tiles. +mle-leaf-tiles = ["jolt-akita?/mle-leaf-tiles"] +# signed-byte-sum: sparse challenge evaluation at powers through one signed-byte +# field sum. +signed-byte-sum = ["jolt-akita?/signed-byte-sum"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 1552c64147..12ad75bdeb 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -61,6 +61,8 @@ bytecode-fold = ["akita", "jolt-akita/bytecode-fold"] fill-ingress = ["akita", "jolt-akita/fill-ingress"] setup-lane-streams = ["akita", "jolt-akita/setup-lane-streams"] carry-graph = ["akita", "jolt-akita/carry-graph"] +mle-leaf-tiles = ["akita", "jolt-akita/mle-leaf-tiles"] +signed-byte-sum = ["akita", "jolt-akita/signed-byte-sum"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index b01f4aaaa8..8603750a92 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -954,6 +954,10 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("setup-lane-streams"); #[cfg(all(feature = "akita", feature = "carry-graph"))] program.add_guest_feature("carry-graph"); + #[cfg(all(feature = "akita", feature = "mle-leaf-tiles"))] + program.add_guest_feature("mle-leaf-tiles"); + #[cfg(all(feature = "akita", feature = "signed-byte-sum"))] + program.add_guest_feature("signed-byte-sum"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) } From b36d0c3fea8ff2ae2d3f9a56ed749416fa3cc169 Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 11:14:35 +0000 Subject: [PATCH 103/131] feat(recursion): turn mle-leaf-tiles and signed-byte-sum on by default Both features join the recursion example default list. Turn them off with --no-default-features plus the other defaults. --- examples/recursion/Cargo.toml | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index e98cc68d45..18e8bd56e4 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -90,6 +90,13 @@ akita = [ # proofs' padded trace size and the verifier guest evaluates the eq-pair tensor # recurrences through them (no graph for another size: recurrence path); same # field values. Default on; effective only with `akita`. +# mle-leaf-tiles: the verifier guest (and the host's Akita) evaluate the +# low-variable multilinear extensions by fixed leaf tiles; same field values. +# Default on; effective only with `akita`. +# signed-byte-sum: the verifier guest (and the host's Akita) take the signed +# byte coefficients of a sparse challenge in through one field sum when +# evaluating it at powers; same field values. Default on; effective only with +# `akita`. default = [ "l3-compression-weights", "l2-terminal-quotient", @@ -112,6 +119,8 @@ default = [ "fill-ingress", "setup-lane-streams", "carry-graph", + "mle-leaf-tiles", + "signed-byte-sum", ] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] From 0779e33dadc8c7627f85836f26decc6e84d9a83f Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 23:01:08 +0000 Subject: [PATCH 104/131] build(akita): move the Akita pin to 13128559 13128559 is the previous pin 9f778c0c plus two optional, default-off verifier features: setup-weight tiles in the direct setup scan (akita-verifier/setup-weight-tiles) and word-level challenge decode (akita-challenges/challenge-word-decode). With both features off the Akita sources keep every line. Only the pin, its comment and the lockfile sources change. --- Cargo.lock | 32 ++++++++++++++++---------------- Cargo.toml | 30 +++++++++++++++--------------- 2 files changed, 31 insertions(+), 31 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index bc8709771f..4a33887dc8 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-error", "akita-serialization", @@ -108,7 +108,7 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-error", "akita-transcript", @@ -122,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-algebra", "akita-challenges", @@ -184,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-algebra", "akita-error", @@ -289,7 +289,7 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-error", "jolt-field", @@ -300,7 +300,7 @@ dependencies = [ [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita?rev=9f778c0c9e28ef5c78efd05ff144185b1df6c693#9f778c0c9e28ef5c78efd05ff144185b1df6c693" +source = "git+https://github.com/LayerZero-Labs/akita?rev=13128559e8dd3cfba462e1789cc87f6d0b4f87ad#13128559e8dd3cfba462e1789cc87f6d0b4f87ad" dependencies = [ "akita-algebra", "akita-challenges", diff --git a/Cargo.toml b/Cargo.toml index 9b6e86cdf3..4a3ecb5725 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -306,21 +306,21 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -# Akita pin: commit 9f778c0c, the previous pin d04bf51f (b215e829 plus the -# optional, default-off compiled carry-state graphs, carry-graph) plus the -# optional, default-off MLE leaf tiles (mle-leaf-tiles) and signed-byte -# challenge evaluation (signed-byte-sum), fetched from LayerZero-Labs/akita by -# hash. Repin to the merge commit on markos/recursion-integration once those -# changes land there. -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "9f778c0c9e28ef5c78efd05ff144185b1df6c693", default-features = false } +# Akita pin: commit 13128559, the previous pin 9f778c0c (d04bf51f plus the +# optional, default-off MLE leaf tiles and signed-byte challenge evaluation) +# plus the optional, default-off setup-weight tiles (setup-weight-tiles) and +# word-level challenge decode (challenge-word-decode), fetched from +# LayerZero-Labs/akita by hash. Repin to the merge commit on +# markos/recursion-integration once those changes land there. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita", rev = "13128559e8dd3cfba462e1789cc87f6d0b4f87ad", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } From 15da2dd280afc0309f2c07a9bbab41e7df0d7c60 Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 23:02:18 +0000 Subject: [PATCH 105/131] feat(recursion): add the default-off setup-weight-tiles verifier guest feature New feature jolt-field/setup-weight-tiles: Field::add_scaled_slice adds scale * src[i] to dst[i] over the shorter slice. The default is the plain loop; the field-inline Fp128 guest path keeps the scale in a field register and adds each product to its destination through the field register add, four elements per tile, then checks every result as a canonical value. Same field values; tests/setup_weight_tiles.rs compares it with the plain loop on random and boundary inputs for both 128-bit primes. The feature is forwarded recursion -> jolt-akita -> akita-pcs (whose direct setup scan uses it) and to the verifier guest. Default off. --- crates/jolt-akita/Cargo.toml | 3 ++ crates/jolt-field/Cargo.toml | 1 + crates/jolt-field/src/algebra.rs | 2 + crates/jolt-field/src/field_inline.rs | 3 ++ .../src/field_inline/setup_weight_tiles.rs | 23 ++++++++ crates/jolt-field/src/lib.rs | 2 + crates/jolt-field/src/setup_weight_tiles.rs | 43 +++++++++++++++ crates/jolt-field/src/solinas/fp128.rs | 6 +++ crates/jolt-field/tests/setup_weight_tiles.rs | 54 +++++++++++++++++++ examples/recursion/Cargo.toml | 3 ++ examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/main.rs | 2 + 12 files changed, 143 insertions(+) create mode 100644 crates/jolt-field/src/field_inline/setup_weight_tiles.rs create mode 100644 crates/jolt-field/src/setup_weight_tiles.rs create mode 100644 crates/jolt-field/tests/setup_weight_tiles.rs diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 50753b8329..20e13698b6 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -68,6 +68,9 @@ mle-leaf-tiles = ["akita-pcs/mle-leaf-tiles"] # Sparse challenge evaluation at powers through one signed-byte field sum # (default off; enables jolt-field/signed-byte-sum on the Akita side). signed-byte-sum = ["akita-pcs/signed-byte-sum"] +# Direct setup scan weights added by fixed tiles on field-register addition +# (default off; enables jolt-field/setup-weight-tiles on the Akita side). +setup-weight-tiles = ["akita-pcs/setup-weight-tiles"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index 27baaa71b3..c5a7909b9c 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -30,6 +30,7 @@ thiserror = { workspace = true } [features] terminal-contraction = [] signed-byte-sum = [] +setup-weight-tiles = [] default = ["bn254"] bn254 = ["dep:ark-ff", "dep:ark-serialize", "dep:ark-bn254"] solinas = [] diff --git a/crates/jolt-field/src/algebra.rs b/crates/jolt-field/src/algebra.rs index f395ef94b6..4a1a04f5d4 100644 --- a/crates/jolt-field/src/algebra.rs +++ b/crates/jolt-field/src/algebra.rs @@ -203,6 +203,8 @@ pub trait Field: Ring { crate::signed_byte_sum::field_methods!(); #[cfg(feature = "fill-ingress")] crate::algebra::fill_ingress_field_method!(); + #[cfg(feature = "setup-weight-tiles")] + crate::setup_weight_tiles::field_methods!(); /// `Σ ±terms[i]`: each term is subtracted when its flag is set and added /// otherwise. Fields with a batched guest path (a register-resident sum /// read out once) override this. diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs index deb60d5da3..ad298d676c 100644 --- a/crates/jolt-field/src/field_inline.rs +++ b/crates/jolt-field/src/field_inline.rs @@ -694,3 +694,6 @@ pub(crate) mod scale { } } } + +#[cfg(feature = "setup-weight-tiles")] +pub(crate) mod setup_weight_tiles; diff --git a/crates/jolt-field/src/field_inline/setup_weight_tiles.rs b/crates/jolt-field/src/field_inline/setup_weight_tiles.rs new file mode 100644 index 0000000000..b268efcd9a --- /dev/null +++ b/crates/jolt-field/src/field_inline/setup_weight_tiles.rs @@ -0,0 +1,23 @@ +use super::guest::{load, read_out}; +use super::{emit, r_word, FUNCT3_ADD, REG_A, REG_B, REG_OUT}; + +/// No field callback runs while the scale occupies REG_B. Products stay in +/// REG_OUT until their addition; the caller checks each final canonical value. +#[inline(always)] +pub(crate) fn add_scaled_tile(scale: &[u64; 2], src: &[[u64; 2]], dst: &mut [[u64; 2]]) { + load(REG_B, scale); + for (value, slot) in src.iter().zip(dst) { + load(REG_A, value); + emit::mul_out(); + load(REG_A, slot); + // SAFETY: a fixed field operation within the arithmetic register lease. + unsafe { + core::arch::asm!( + ".word {word}", + word = const r_word(FUNCT3_ADD, REG_OUT, REG_OUT, REG_A), + options(nostack) + ); + } + *slot = read_out(REG_OUT); + } +} diff --git a/crates/jolt-field/src/lib.rs b/crates/jolt-field/src/lib.rs index 00f0ad42a6..98d528979a 100644 --- a/crates/jolt-field/src/lib.rs +++ b/crates/jolt-field/src/lib.rs @@ -182,6 +182,8 @@ pub enum FieldError { InvalidSize { expected: usize, actual: usize }, } +#[cfg(feature = "setup-weight-tiles")] +mod setup_weight_tiles; #[cfg(feature = "signed-byte-sum")] mod signed_byte_sum; #[cfg(feature = "terminal-contraction")] diff --git a/crates/jolt-field/src/setup_weight_tiles.rs b/crates/jolt-field/src/setup_weight_tiles.rs new file mode 100644 index 0000000000..7894ebc18c --- /dev/null +++ b/crates/jolt-field/src/setup_weight_tiles.rs @@ -0,0 +1,43 @@ +macro_rules! field_methods { + () => { + /// Adds `scale * src[i]` to `dst[i]` over the shorter slice. + /// Elements outside that prefix are unchanged. + #[inline(always)] + fn add_scaled_slice(scale: Self, src: &[Self], dst: &mut [Self]) { + for (dst, src) in dst.iter_mut().zip(src) { + *dst += scale * *src; + } + } + }; +} +pub(crate) use field_methods; + +#[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] +macro_rules! fp128_methods { + () => { + #[inline(always)] + fn add_scaled_slice(scale: Self, src: &[Self], dst: &mut [Self]) { + if !Self::inline_accumulators() { + for (dst, src) in dst.iter_mut().zip(src) { + *dst += scale * *src; + } + return; + } + let len = src.len().min(dst.len()); + // SAFETY: Fp128 is transparent over [u64; 2]; len is within src. + let src: &[[u64; 2]] = unsafe { core::slice::from_raw_parts(src.as_ptr().cast(), len) }; + for (src, dst) in src.chunks(4).zip(dst[..len].chunks_mut(4)) { + // SAFETY: transparent layout and exclusive dst borrow. No field + // arithmetic consumes these limbs before canonical validation. + let limbs: &mut [[u64; 2]] = + unsafe { core::slice::from_raw_parts_mut(dst.as_mut_ptr().cast(), dst.len()) }; + $crate::field_inline::setup_weight_tiles::add_scaled_tile(&scale.0, src, limbs); + for value in dst { + *value = Self::from_inline_limbs(value.0); + } + } + } + }; +} +#[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] +pub(crate) use fp128_methods; diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index d93c623185..ad083fb553 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -1089,6 +1089,12 @@ impl Field for Fp128

{ fn scale_slice_into(scale: Self, src: &[Self], dst: &mut [Self]) { Self::fill_ingress_scale(scale, src, dst); } + #[cfg(all( + feature = "setup-weight-tiles", + feature = "field-inline-guest", + target_arch = "riscv64" + ))] + crate::setup_weight_tiles::fp128_methods!(); #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] #[inline] fn signed_sum<'a>(terms: impl IntoIterator) -> Self diff --git a/crates/jolt-field/tests/setup_weight_tiles.rs b/crates/jolt-field/tests/setup_weight_tiles.rs new file mode 100644 index 0000000000..6c72ffce49 --- /dev/null +++ b/crates/jolt-field/tests/setup_weight_tiles.rs @@ -0,0 +1,54 @@ +#![cfg(all(feature = "setup-weight-tiles", feature = "solinas"))] + +use jolt_field::{Field, Prime128Offset275, Prime128OffsetA7F7}; + +struct Words(u64); + +impl Words { + fn scalar(&mut self) -> F { + self.0 ^= self.0 << 13; + self.0 ^= self.0 >> 7; + self.0 ^= self.0 << 17; + let low = self.0; + self.0 = self.0.wrapping_mul(0x9e37_79b9_7f4a_7c15); + F::from_u128(u128::from(low) | (u128::from(self.0) << 64)) + } +} + +fn check() { + let mut words = Words(0x4850_3235_5449_4c45); + for size in [0, 1, 2, 3, 4, 5, 7, 8, 9, 15, 16, 17, 63, 64, 65, 257] { + for round in 0..67 { + let scale = match round { + 0 => F::zero(), + 1 => F::one(), + 2 => -F::one(), + _ => words.scalar::(), + }; + let src = (0..size).map(|_| words.scalar::()).collect::>(); + let before = (0..size + 2) + .map(|_| words.scalar::()) + .collect::>(); + let mut actual = before.clone(); + let expected = before + .iter() + .enumerate() + .map(|(i, value)| src.get(i).map_or(*value, |src| *value + scale * *src)) + .collect::>(); + F::add_scaled_slice(scale, &src, &mut actual); + assert_eq!(actual, expected); + let mut short = before[..size / 2].to_vec(); + F::add_scaled_slice(scale, &src, &mut short); + assert_eq!(short, expected[..size / 2]); + } + } + let mut dst = [-F::one(); 5]; + F::add_scaled_slice(-F::one(), &[-F::one(); 5], &mut dst); + assert_eq!(dst, [F::zero(); 5]); +} + +#[test] +fn setup_weight_tiles_randomized_and_boundary_equivalence() { + check::(); + check::(); +} diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 18e8bd56e4..026873a3ec 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -170,6 +170,9 @@ mle-leaf-tiles = ["jolt-akita?/mle-leaf-tiles"] # signed-byte-sum: sparse challenge evaluation at powers through one signed-byte # field sum. signed-byte-sum = ["jolt-akita?/signed-byte-sum"] +# setup-weight-tiles: the direct setup scan adds its setup weights by fixed +# tiles on field-register addition. +setup-weight-tiles = ["jolt-akita?/setup-weight-tiles"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 12ad75bdeb..a98a3298d6 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -63,6 +63,7 @@ setup-lane-streams = ["akita", "jolt-akita/setup-lane-streams"] carry-graph = ["akita", "jolt-akita/carry-graph"] mle-leaf-tiles = ["akita", "jolt-akita/mle-leaf-tiles"] signed-byte-sum = ["akita", "jolt-akita/signed-byte-sum"] +setup-weight-tiles = ["akita", "jolt-akita/setup-weight-tiles"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 8603750a92..277c17ece2 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -958,6 +958,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("mle-leaf-tiles"); #[cfg(all(feature = "akita", feature = "signed-byte-sum"))] program.add_guest_feature("signed-byte-sum"); + #[cfg(all(feature = "akita", feature = "setup-weight-tiles"))] + program.add_guest_feature("setup-weight-tiles"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) } From 0565c9e8e86906b135dd7e2053f481e527e6da72 Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 23:02:30 +0000 Subject: [PATCH 106/131] feat(recursion): add the default-off challenge-word-decode verifier guest feature Forwards Akita's akita-challenges/challenge-word-decode (through jolt-akita and akita-pcs) to the recursion host and the verifier guest. With it on, sampling a signed sparse challenge decodes positions and signs from whole 64-bit SHAKE output words instead of byte by byte; same consumption, rejection and challenges. Default off. --- crates/jolt-akita/Cargo.toml | 2 ++ examples/recursion/Cargo.toml | 3 +++ examples/recursion/guest/Cargo.toml | 1 + examples/recursion/src/main.rs | 2 ++ 4 files changed, 8 insertions(+) diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 20e13698b6..2740315149 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -71,6 +71,8 @@ signed-byte-sum = ["akita-pcs/signed-byte-sum"] # Direct setup scan weights added by fixed tiles on field-register addition # (default off; enables jolt-field/setup-weight-tiles on the Akita side). setup-weight-tiles = ["akita-pcs/setup-weight-tiles"] +# Signed sparse challenges decoded from whole SHAKE output words (default off). +challenge-word-decode = ["akita-pcs/challenge-word-decode"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index 026873a3ec..b3d0495ab8 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -173,6 +173,9 @@ signed-byte-sum = ["jolt-akita?/signed-byte-sum"] # setup-weight-tiles: the direct setup scan adds its setup weights by fixed # tiles on field-register addition. setup-weight-tiles = ["jolt-akita?/setup-weight-tiles"] +# challenge-word-decode: signed sparse challenges decoded from whole SHAKE +# output words. +challenge-word-decode = ["jolt-akita?/challenge-word-decode"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index a98a3298d6..b9589f5ed4 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -64,6 +64,7 @@ carry-graph = ["akita", "jolt-akita/carry-graph"] mle-leaf-tiles = ["akita", "jolt-akita/mle-leaf-tiles"] signed-byte-sum = ["akita", "jolt-akita/signed-byte-sum"] setup-weight-tiles = ["akita", "jolt-akita/setup-weight-tiles"] +challenge-word-decode = ["akita", "jolt-akita/challenge-word-decode"] [package.metadata.cargo-machete] # The jolt-field edge selects the guest's field-inline arithmetic; generated # embedded_bytecode.rs imports jolt-riscv types when the host prepares an diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 277c17ece2..4b96799175 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -960,6 +960,8 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("signed-byte-sum"); #[cfg(all(feature = "akita", feature = "setup-weight-tiles"))] program.add_guest_feature("setup-weight-tiles"); + #[cfg(all(feature = "akita", feature = "challenge-word-decode"))] + program.add_guest_feature("challenge-word-decode"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) } From 372cee65e6713c7e65076f90b9581b25baccd521 Mon Sep 17 00:00:00 2001 From: acentelles Date: Thu, 29 Oct 2026 23:02:39 +0000 Subject: [PATCH 107/131] feat(recursion): turn setup-weight-tiles and challenge-word-decode on by default Both features join the recursion default list after signed-byte-sum. They are forwarded in the weak form (jolt-akita?/...), so --no-default-features builds are unchanged and the defaults take effect only with akita. No Akita default changes. --- examples/recursion/Cargo.toml | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index b3d0495ab8..76ae9715a6 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -97,6 +97,12 @@ akita = [ # byte coefficients of a sparse challenge in through one field sum when # evaluating it at powers; same field values. Default on; effective only with # `akita`. +# setup-weight-tiles: the verifier guest's direct setup scan adds the setup +# weights by fixed tiles on field-register addition; same field values. Default +# on; effective only with `akita`. +# challenge-word-decode: the verifier guest (and the host's Akita) decode the +# signed sparse challenges from whole SHAKE output words; same consumption, +# rejection and field values. Default on; effective only with `akita`. default = [ "l3-compression-weights", "l2-terminal-quotient", @@ -121,6 +127,8 @@ default = [ "carry-graph", "mle-leaf-tiles", "signed-byte-sum", + "setup-weight-tiles", + "challenge-word-decode", ] guest-codegen = [] l3-compression-weights = ["jolt-akita?/l3-compression-weights"] From af4770dad86159be2a9a5efc4fab66790e6ad86f Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Sun, 1 Nov 2026 22:48:52 -0500 Subject: [PATCH 108/131] perf(instruction): compute native quadratic coefficients directly (#2230) --- .../src/optimized/instruction_input.rs | 207 +++++++++++------- 1 file changed, 129 insertions(+), 78 deletions(-) diff --git a/crates/jolt-kernels/src/optimized/instruction_input.rs b/crates/jolt-kernels/src/optimized/instruction_input.rs index 34e6df866f..928e39f162 100644 --- a/crates/jolt-kernels/src/optimized/instruction_input.rs +++ b/crates/jolt-kernels/src/optimized/instruction_input.rs @@ -188,13 +188,13 @@ impl OptimizedInstructionInputKernel { }) } - /// First-round `q` evaluations over native rows. - /// The manual fold permits fallible row extraction. - fn native_q_evals( + /// Constant and leading coefficients of the native quadratic, with its + /// endpoint at one when the equality factor cannot recover it. + fn native_q_terms( &self, rows: &BundleStore, - ) -> Result<[F; 4], WitnessError> { - const POINTS: usize = 4; + ) -> Result<[F; TERMS], WitnessError> { + const { assert!(TERMS == 2 || TERMS == 3) }; type Accumulator = ::SignedProductAccumulator; let access = rows.access(); let e_out = self.gruen.e_out_current(); @@ -204,10 +204,10 @@ impl OptimizedInstructionInputKernel { let pairs = self.prefix_len.div_ceil(2); let outer_len = pairs.div_ceil(in_len); - let block = |x_out: usize| -> Result<[F; POINTS], WitnessError> { - let mut right_acc = [Accumulator::::default(); POINTS]; - let mut right_high_acc = [Accumulator::::default(); POINTS]; - let mut left_acc = [Accumulator::::default(); POINTS]; + let block = |x_out: usize| -> Result<[F; TERMS], WitnessError> { + let mut right_acc = [Accumulator::::default(); TERMS]; + let mut right_high_acc = [Accumulator::::default(); TERMS]; + let mut left_acc = [Accumulator::::default(); TERMS]; let inner_len = (pairs - x_out * in_len).min(in_len); for (x_in, &e_in) in e_in[..inner_len].iter().enumerate() { let y = x_out * in_len + x_in; @@ -225,32 +225,47 @@ impl OptimizedInstructionInputKernel { let split = |imm: i128| (imm >> 64, i128::from(imm as u64)); let (imm_even_high, imm_even_low) = split(even.imm.0); let (imm_odd_high, imm_odd_low) = split(odd.imm.0); - for t in 0..POINTS as i64 { - // |f(t)| ≤ 3, |v(t)| < 2^67, and the Lagrange weights - // |1 − t|, |t| ≤ 3 keep every low sum below 2^71 and the - // high sums below 2^67: exact in `i128` for any immediate. - let f_rs1 = is_rs1 + t * is_rs1_m; - let f_pc = is_pc + t * is_pc_m; - let f_rs2 = is_rs2 + t * is_rs2_m; - let f_imm = is_imm + t * is_imm_m; - let f_rd = is_rd + t * is_rd_m; - let (w_even, w_odd) = (i128::from(f_imm * (1 - t)), i128::from(f_imm * t)); - let left = i128::from(f_rs1) * (rs1 + i128::from(t) * rs1_m) - + i128::from(f_pc) * (upc + i128::from(t) * upc_m); - let right = i128::from(f_rs2) * (rs2 + i128::from(t) * rs2_m) - + w_even * imm_even_low - + w_odd * imm_odd_low - + i128::from(f_rd) * (rd + i128::from(t) * rd_m); - let right_high = w_even * imm_even_high + w_odd * imm_odd_high; - right_acc[t as usize].fmadd_i128(e_in, right); + let left = [ + i128::from(is_rs1) * rs1 + i128::from(is_pc) * upc, + i128::from(is_rs1_m) * rs1_m + i128::from(is_pc_m) * upc_m, + ]; + let right = [ + i128::from(is_rs2) * rs2 + + i128::from(is_imm) * imm_even_low + + i128::from(is_rd) * rd, + i128::from(is_rs2_m) * rs2_m + + i128::from(is_imm_m) * (imm_odd_low - imm_even_low) + + i128::from(is_rd_m) * rd_m, + ]; + let right_high = [ + i128::from(is_imm) * imm_even_high, + i128::from(is_imm_m) * (imm_odd_high - imm_even_high), + ]; + // Flag differences are in {-1, 0, 1}; word and split-immediate + // differences have magnitude < 2^64. Each sum fits in i128. + for (i, right) in right.into_iter().enumerate() { + right_acc[i].fmadd_i128(e_in, right); + if right_high[i] != 0 { + right_high_acc[i].fmadd_i128(e_in, right_high[i]); + } + left_acc[i].fmadd_i128(e_in, left[i]); + } + if TERMS == 3 { + let left = i128::from(odd.is_rs1.0) * i128::from(odd.rs1_value.0) + + i128::from(odd.is_pc.0) * i128::from(odd.unexpanded_pc.0); + let right = i128::from(odd.is_rs2.0) * i128::from(odd.rs2_value.0) + + i128::from(odd.is_imm.0) * imm_odd_low + + i128::from(odd.is_rd.0) * i128::from(odd.rd_write_value.0); + let right_high = i128::from(odd.is_imm.0) * imm_odd_high; + right_acc[2].fmadd_i128(e_in, right); if right_high != 0 { - right_high_acc[t as usize].fmadd_i128(e_in, right_high); + right_high_acc[2].fmadd_i128(e_in, right_high); } - left_acc[t as usize].fmadd_i128(e_in, left); + left_acc[2].fmadd_i128(e_in, left); } } let e_out = e_out[x_out]; - let mut out = [F::zero(); POINTS]; + let mut out = [F::zero(); TERMS]; for (slot, ((right, right_high), left)) in out .iter_mut() .zip(right_acc.into_iter().zip(right_high_acc).zip(left_acc)) @@ -260,7 +275,7 @@ impl OptimizedInstructionInputKernel { } Ok(out) }; - let merge = |mut a: [F; POINTS], b: [F; POINTS]| { + let merge = |mut a: [F; TERMS], b: [F; TERMS]| { for (a, b) in a.iter_mut().zip(&b) { *a += *b; } @@ -272,11 +287,11 @@ impl OptimizedInstructionInputKernel { (0..outer_len) .into_par_iter() .map(block) - .try_reduce(|| [F::zero(); POINTS], |a, b| Ok(merge(a, b))) + .try_reduce(|| [F::zero(); TERMS], |a, b| Ok(merge(a, b))) } #[cfg(not(feature = "parallel"))] { - let mut folded = [F::zero(); POINTS]; + let mut folded = [F::zero(); TERMS]; for x_out in 0..outer_len { folded = merge(folded, block(x_out)?); } @@ -357,47 +372,63 @@ impl OptimizedInstructionInputKernel { round: usize, previous_claim: F, ) -> Result, SumcheckError> { - let mut q_evals = match &self.state { - InputState::Native(rows) => self.native_q_evals(rows).map_err(row_extraction_error)?, - InputState::Dense(tables) => { - return self.bound_message( - |i, row| { + match &self.state { + InputState::Native(rows) => { + let suffix = self.gruen.suffix_weight(self.prefix_len.div_ceil(2)) + * self.operand_product(&self.tail); + if self.gruen.current_linear_evals().1.is_zero() { + let [q_zero, q_leading, q_one] = self + .native_q_terms::<3>(rows) + .map_err(row_extraction_error)?; + self.gruen.checked_cubic( + q_zero + suffix, + q_leading, + previous_claim, + round, + || q_one + suffix, + ) + } else { + let [q_zero, q_leading] = self + .native_q_terms::<2>(rows) + .map_err(row_extraction_error)?; + // The nonzero equality factor recovers q(1) from the claim. + self.gruen.checked_cubic( + q_zero + suffix, + q_leading, + previous_claim, + round, + F::zero, + ) + } + } + InputState::Dense(tables) => self.bound_message( + |i, row| { + ( + tables[i][2 * row], + tables[i].get(2 * row + 1).copied().unwrap_or(self.tail[i]), + ) + }, + round, + previous_claim, + ), + InputState::Packed { operands, flags } => self.bound_message( + |i, row| { + if i % 2 == 0 { + (flags.value(i / 2, 2 * row), flags.value(i / 2, 2 * row + 1)) + } else { ( - tables[i][2 * row], - tables[i].get(2 * row + 1).copied().unwrap_or(self.tail[i]), + operands[i / 2][2 * row], + operands[i / 2] + .get(2 * row + 1) + .copied() + .unwrap_or(self.tail[i]), ) - }, - round, - previous_claim, - ) - } - InputState::Packed { operands, flags } => { - return self.bound_message( - |i, row| { - if i % 2 == 0 { - (flags.value(i / 2, 2 * row), flags.value(i / 2, 2 * row + 1)) - } else { - ( - operands[i / 2][2 * row], - operands[i / 2] - .get(2 * row + 1) - .copied() - .unwrap_or(self.tail[i]), - ) - } - }, - round, - previous_claim, - ) - } - }; - let suffix = self.gruen.suffix_weight(self.prefix_len.div_ceil(2)) - * self.operand_product(&self.tail); - for value in &mut q_evals { - *value += suffix; + } + }, + round, + previous_claim, + ), } - self.gruen - .checked_round_poly(&mut q_evals, previous_claim, round) } fn materialize_half( @@ -655,8 +686,17 @@ mod tests { unexpanded_pc: UnexpandedPc(splitmix(&mut state)), is_rs2: InstructionFlag(raw & 4 != 0), rs2_value: Rs2Value(splitmix(&mut state)), - is_imm: InstructionFlag(raw & 8 != 0), - imm: Imm(if index % 3 == 0 { -wide } else { wide }), + is_imm: InstructionFlag(if index < 4 { + index == 1 || index == 2 + } else { + raw & 8 != 0 + }), + imm: Imm(match index { + 0 | 3 => i128::MIN, + 1 | 2 => i128::MAX, + _ if index % 3 == 0 => -wide, + _ => wide, + }), is_rd: InstructionFlag(raw & 16 != 0), rd_write_value: RdWriteValue(splitmix(&mut state)), } @@ -797,7 +837,9 @@ mod tests { #[test] fn parity_single_round() { - assert_parity(1, 4242, 1, false); + for exceptional in [false, true] { + assert_parity(1, 4242, 1, exceptional); + } } #[test] @@ -817,10 +859,19 @@ mod tests { #[cfg(feature = "akita")] #[test] fn parity_fp128_with_constant_tails_and_exceptional_challenges() { - for prefix in [0, 1, 2, 15, 16, 17, 63, 64] { - for exceptional in [false, true] { - for gamma in [0, 1, 0xDADA_CAFE] { - assert_parity_field::(6, 717, prefix, exceptional, gamma); + for log_t in [5, 6] { + let size = 1usize << log_t; + for prefix in [0, 1, 2, 15, 16, 17, size - 1, size] { + for exceptional in [false, true] { + for gamma in [0, 1, 0xDADA_CAFE] { + assert_parity_field::( + log_t, + 717, + prefix, + exceptional, + gamma, + ); + } } } } From 88ab69b7858cd4d35fe077caa68f1bd250e9a23d Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Sun, 1 Nov 2026 22:49:07 -0500 Subject: [PATCH 109/131] perf(kernels): factor RAM products with a common zero endpoint (#2231) --- .../src/optimized/ram_ra_virtualization.rs | 58 ++++++++++++++++++- 1 file changed, 57 insertions(+), 1 deletion(-) diff --git a/crates/jolt-kernels/src/optimized/ram_ra_virtualization.rs b/crates/jolt-kernels/src/optimized/ram_ra_virtualization.rs index ca71499b95..04a8a89c89 100644 --- a/crates/jolt-kernels/src/optimized/ram_ra_virtualization.rs +++ b/crates/jolt-kernels/src/optimized/ram_ra_virtualization.rs @@ -171,9 +171,28 @@ impl RamRaVirtualizationKernel { } let folded_ra = &self.folded_ra; let prefix_pairs = folded_ra.prefix_len().div_ceil(2); + // A common zero endpoint makes the product a scalar times t^N or + // (1-t)^N. Accumulate the scalar before expanding this fixed grid. + let zero_side_grids: [Vec; 2] = std::array::from_fn(|side| { + let mut grid: Vec = (1..num_committed) + .map(|point| { + let point = F::from_u64(point as u64); + let value = if side == 0 { point } else { F::one() - point }; + (0..num_committed).fold(F::one(), |power, _| power * value) + }) + .collect(); + let leading = if side == 1 && !num_committed.is_multiple_of(2) { + -F::one() + } else { + F::one() + }; + grid.push(leading); + grid + }); struct Scratch { lanes: Vec, + zero_side_sums: [F::Accumulator; 2], pairs: Vec<(F, F)>, evals: Vec, steps: Vec, @@ -184,6 +203,7 @@ impl RamRaVirtualizationKernel { prefix_pairs, || Scratch { lanes: vec![F::Accumulator::default(); num_committed], + zero_side_sums: [F::Accumulator::default(); 2], pairs: vec![(F::zero(), F::zero()); num_committed], evals: vec![F::zero(); num_committed], steps: vec![F::zero(); num_committed], @@ -196,6 +216,24 @@ impl RamRaVirtualizationKernel { if lo.is_zero() && hi.is_zero() { return; } + let zero_side = if lo.is_zero() + && scratch.pairs[1..].iter().all(|pair| pair.0.is_zero()) + { + Some(0) + } else if hi.is_zero() && scratch.pairs[1..].iter().all(|pair| pair.1.is_zero()) { + Some(1) + } else { + None + }; + if let Some(side) = zero_side { + let select = |&(lo, hi): &(F, F)| if side == 0 { hi } else { lo }; + let last = num_committed - 1; + let product = scratch.pairs[..last] + .iter() + .fold(e_in, |product, pair| product * select(pair)); + scratch.zero_side_sums[side].fmadd(product, select(&scratch.pairs[last])); + return; + } for ((&(lo, hi), eval), step) in scratch .pairs .iter() @@ -214,7 +252,13 @@ impl RamRaVirtualizationKernel { &mut scratch.grid, ); }, - |_x_out, e_out, scratch| { + |_x_out, e_out, mut scratch| { + for (sum, grid) in scratch.zero_side_sums.into_iter().zip(&zero_side_grids) { + let sum = sum.reduce(); + for (lane, &coefficient) in scratch.lanes.iter_mut().zip(grid) { + lane.fmadd(sum, coefficient); + } + } let mut out = vec![F::Accumulator::default(); num_committed]; for (out, lane) in out.iter_mut().zip(scratch.lanes) { out.fmadd(e_out, lane.reduce()); @@ -559,6 +603,18 @@ mod tests { ); } + #[test] + fn parity_odd_degree_with_one_sided_accesses() { + run_parity( + FixtureShape { + log_t: 6, + ram_k: 1 << 12, + }, + mixed_ops(), + 461, + ); + } + #[test] fn parity_four_committed_chunks_past_lazy_materialization() { run_parity( From 9b1a15d033dae55343a176908bf4ae6caececfa2 Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Sun, 1 Nov 2026 22:49:22 -0500 Subject: [PATCH 110/131] perf(kernels): reuse equal categorical quartet values (#2232) --- .../instruction_ra_virtualization/categorical.rs | 9 +++++++-- 1 file changed, 7 insertions(+), 2 deletions(-) diff --git a/crates/jolt-kernels/src/optimized/instruction_ra_virtualization/categorical.rs b/crates/jolt-kernels/src/optimized/instruction_ra_virtualization/categorical.rs index aca70c0949..df89383621 100644 --- a/crates/jolt-kernels/src/optimized/instruction_ra_virtualization/categorical.rs +++ b/crates/jolt-kernels/src/optimized/instruction_ra_virtualization/categorical.rs @@ -88,9 +88,14 @@ impl OptimizedInstructionRaVirtualizationKernel { let shift = (source.num_columns() - 4 * (g + 1)) * bits; let low = ((lo >> shift) & group_mask) as usize; let high = ((hi >> shift) & group_mask) as usize; - if low == group.tail_index && high == group.tail_index { + if low == high { + let value = if low == group.tail_index { + group.tail_value + } else { + group.products[0][low >> pair_bits] * group.products[1][low & pair_mask] + }; for lane in &mut row_lanes[..3] { - lane.add(group.tail_value); + lane.add(value); } continue; } From 6532b02a645c2550b8225b663fc81871341e901e Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Sun, 1 Nov 2026 22:49:36 -0500 Subject: [PATCH 111/131] perf: reuse zero-prefix range-check moments across address phases (#2224) --- .../src/optimized/instruction_read_raf.rs | 266 ++++++++++++++++-- 1 file changed, 246 insertions(+), 20 deletions(-) diff --git a/crates/jolt-kernels/src/optimized/instruction_read_raf.rs b/crates/jolt-kernels/src/optimized/instruction_read_raf.rs index 67db68fb71..6cdd9de071 100644 --- a/crates/jolt-kernels/src/optimized/instruction_read_raf.rs +++ b/crates/jolt-kernels/src/optimized/instruction_read_raf.rs @@ -682,6 +682,7 @@ struct ScanBlock { starts: [u16; SCAN_CLASSES + 1], /// The block's cycle offsets, stably sorted by scan class. offsets: [u16; SCAN_BLOCK], + range_key_bits: u8, } impl ScanBlock { @@ -690,8 +691,14 @@ impl ScanBlock { /// the blocks; such a row's class would index `starts` out of bounds. fn new(rows: &[InstructionCycleRow]) -> Self { let mut starts = [0u16; SCAN_CLASSES + 1]; + let range_class = Self::range_class(); + let mut range_keys = 0u128; for row in rows { - starts[Self::class(row) + 1] += 1; + let class = Self::class(row); + starts[class + 1] += 1; + if class == range_class { + range_keys |= row.lookup_index(); + } } for class in 0..SCAN_CLASSES { starts[class + 1] += starts[class]; @@ -703,7 +710,11 @@ impl ScanBlock { offsets[usize::from(*position)] = offset as u16; *position += 1; } - Self { starts, offsets } + Self { + starts, + offsets, + range_key_bits: (128 - range_keys.leading_zeros()) as u8, + } } fn should_coalesce(rows: &[InstructionCycleRow]) -> bool { @@ -759,7 +770,18 @@ impl ScanBlock { } fn class(row: &InstructionCycleRow) -> usize { - 2 * row.table_index().map_or(0, |table| table + 1) + usize::from(row.raf_flag()) + Self::class_index(row.table_index(), row.raf_flag()) + } + + fn class_index(table: Option, raf_flag: bool) -> usize { + 2 * table.map_or(0, |table| table + 1) + usize::from(raf_flag) + } + + fn range_class() -> usize { + Self::class_index( + Some(LookupTableKind::::RangeCheck(Default::default()).index()), + true, + ) } } @@ -767,6 +789,71 @@ impl ScanBlock { /// across heterogeneous cores. const SCAN_TASKS_PER_THREAD: usize = 8; +#[cfg_attr(feature = "allocative", derive(allocative::Allocative))] +struct ScanBlocks { + layout: Vec, + range: Vec>>, +} + +impl ScanBlocks { + fn new(layout: Vec) -> Self { + // Keep cached field values out of the block stride used by ordinary scans. + let range = (0..layout.len()).map(|_| None).collect(); + Self { layout, range } + } +} + +/// Zero-prefix range-check rows occupy address chunk zero. These three moments +/// scale by the common bound-prefix factor while their remaining high bits stay +/// zero; the ordinary condense pass still updates the individual cycle weights. +#[cfg_attr(feature = "allocative", derive(allocative::Allocative))] +struct RangePrefixSums { + mass: F, + identity: F, + lower_word: F, +} + +impl RangePrefixSums { + fn table() -> LookupTableKind { + LookupTableKind::RangeCheck(Default::default()) + } + + fn new( + rows: &[InstructionCycleRow], + weights: &[F], + offsets: &[u16], + suffix_len: usize, + ) -> Self { + let mut mass = F::SumAccumulator::default(); + let mut identity = F::Accumulator::default(); + let mut lower_word = F::Accumulator::default(); + for &offset in offsets { + let offset = usize::from(offset); + let index = rows[offset].lookup_index(); + let weight = weights[offset]; + mass.add(weight); + if index != 0 { + identity.fmadd_u128(weight, index); + } + let low = Suffixes::LowerWord.suffix_mle(LookupBits::new(index, suffix_len)); + if low != 0 { + lower_word.fmadd_u64(weight, low); + } + } + Self { + mass: mass.reduce(), + identity: identity.reduce(), + lower_word: lower_word.reduce(), + } + } + + fn scale(&mut self, factor: F) { + self.mass *= factor; + self.identity *= factor; + self.lower_word *= factor; + } +} + struct PhaseScan<'a, F> { /// The previous phase's chunk shift and bound-challenge eq table, folded /// into the weights before they are read (every phase but the first). @@ -973,7 +1060,7 @@ impl PhaseScan<'_, F> { /// `u_evals` in place. fn run( &self, - blocks: &[ScanBlock], + blocks: &mut ScanBlocks, rows: &[InstructionCycleRow], u_evals: &mut [F], ) -> PhaseSums { @@ -982,19 +1069,23 @@ impl PhaseScan<'_, F> { #[cfg(feature = "parallel")] { blocks + .layout .par_chunks(task_blocks) + .zip(blocks.range.par_chunks_mut(task_blocks)) .zip(rows.par_chunks(task_rows)) .zip(u_evals.par_chunks_mut(task_rows)) - .map(|((blocks, rows), u_evals)| self.scan(blocks, rows, u_evals)) + .map(|(((blocks, range), rows), u_evals)| self.scan(blocks, range, rows, u_evals)) .reduce(PhaseSums::zero, PhaseSums::merge) } #[cfg(not(feature = "parallel"))] { blocks + .layout .chunks(task_blocks) + .zip(blocks.range.chunks_mut(task_blocks)) .zip(rows.chunks(task_rows)) .zip(u_evals.chunks_mut(task_rows)) - .map(|((blocks, rows), u_evals)| self.scan(blocks, rows, u_evals)) + .map(|(((blocks, range), rows), u_evals)| self.scan(blocks, range, rows, u_evals)) .fold(PhaseSums::zero(), PhaseSums::merge) } } @@ -1002,6 +1093,7 @@ impl PhaseScan<'_, F> { fn scan( &self, blocks: &[ScanBlock], + range: &mut [Option>], rows: &[InstructionCycleRow], u_evals: &mut [F], ) -> PhaseSums { @@ -1009,8 +1101,16 @@ impl PhaseScan<'_, F> { let mut table_scans: Vec>> = (0..LookupTableKind::::COUNT) .map(|_| None) .collect(); - for ((block, rows), u_evals) in blocks + let range_table = RangePrefixSums::::table(); + let range_class = ScanBlock::range_class(); + let cacheable_suffixes = range_table + .suffixes() + .iter() + .all(|suffix| matches!(suffix, Suffixes::One | Suffixes::LowerWord)); + let mut range_sums: Option<[F::SumAccumulator; 2]> = None; + for (((block, cache), rows), u_evals) in blocks .iter() + .zip(range) .zip(rows.chunks(SCAN_BLOCK)) .zip(u_evals.chunks_mut(SCAN_BLOCK)) { @@ -1033,18 +1133,58 @@ impl PhaseScan<'_, F> { if offsets.is_empty() { continue; } + let key_bits = usize::from(block.range_key_bits); + // The remaining high bit must be zero while the canonical-address + // all-ones predicate still has high bits to inspect. + let constant_prefix = key_bits < self.suffix_len + || (key_bits <= self.suffix_len && self.upper_suffix_bits == 0); + if cacheable_suffixes && class == range_class && constant_prefix { + if let (Some(sums), Some((_, previous))) = (&mut *cache, self.condense) { + sums.scale(previous[0]); + } + let sums = cache.get_or_insert_with(|| { + RangePrefixSums::new(rows, u_evals, offsets, self.suffix_len) + }); + raf.shift_full[0].add(sums.mass); + raf.identity[0].add(sums.identity); + if CANONICAL_INSTRUCTION_ADDRESS && self.upper_suffix_bits == 0 { + raf.upper_all_ones[0].add(sums.mass); + } + let table_sums = + range_sums.get_or_insert_with(|| [F::SumAccumulator::default(); 2]); + table_sums[0].add(sums.mass); + table_sums[1].add(sums.lower_word); + continue; + } let table_scan = (class / 2).checked_sub(1).map(|table| { table_scans[table].get_or_insert_with(|| TableScan::new(self.tables[table])) }); self.accumulate(class % 2 == 1, offsets, rows, u_evals, &mut raf, table_scan); } } + let mut suffixes: Vec<_> = table_scans + .into_iter() + .map(|scan| scan.map(TableScan::reduce)) + .collect(); + if let Some([mass, lower_word]) = range_sums { + let mass = mass.reduce(); + let lower_word = lower_word.reduce(); + let into = suffixes[range_table.index()] + .get_or_insert_with(|| vec![F::zero(); range_table.suffixes().len() * CHUNK_SIZE]); + for (row, suffix) in into + .chunks_exact_mut(CHUNK_SIZE) + .zip(range_table.suffixes()) + { + row[0] += match suffix { + Suffixes::One => mass, + Suffixes::LowerWord => lower_word, + _ => unreachable!("range cache requires only One and LowerWord suffixes"), + }; + } + } PhaseSums { raf: raf.reduce(), - suffixes: table_scans - .into_iter() - .map(|scan| scan.map(TableScan::reduce)) - .collect(), + suffixes, } } @@ -1109,7 +1249,7 @@ pub struct OptimizedInstructionReadRafKernel { gamma: F, r_reduction: Vec, rows: Arc>, - blocks: Vec, + blocks: ScanBlocks, /// The final weight aggregates the constant row suffix. After coalescing, /// only offsets retained in `blocks` are live; merged-away weights are stale. u_evals: Vec, @@ -1252,7 +1392,7 @@ impl OptimizedInstructionReadRafKernel { gamma, r_reduction: r_reduction.to_vec(), rows, - blocks, + blocks: ScanBlocks::new(blocks), u_evals, prefix_checkpoints: ALL_PREFIXES .iter() @@ -1305,7 +1445,7 @@ impl OptimizedInstructionReadRafKernel { tables: LookupTableKind::::iter().collect(), }; let PhaseSums { raf, suffixes } = scan.run( - &self.blocks, + &mut self.blocks, &self.rows.representatives()[..self.u_evals.len()], &mut self.u_evals, ); @@ -1729,7 +1869,7 @@ impl OptimizedInstructionReadRafKernel { self.u_evals = Vec::new(); self.prefix_tables = Vec::new(); self.suffix_tables = Vec::new(); - self.blocks = Vec::new(); + self.blocks = ScanBlocks::new(Vec::new()); } fn bind(&mut self, challenge: F) -> Result<(), SumcheckError> { @@ -1917,7 +2057,7 @@ mod tests { use super::{ InstructionCycleRow, LookupIndexChunks, OptimizedInstructionReadRafKernel, RepeatCache, - ScanBlock, + ScanBlock, SCAN_BLOCK, }; fn pack(rows: &[InstructionReadRafWitness]) -> Vec { @@ -2212,6 +2352,15 @@ mod tests { dimensions: InstructionReadRafDimensions, r_reduction: &[F], rows: Vec, + ) { + assert_parity_rows_with_challenges(dimensions, r_reduction, rows, challenge); + } + + fn assert_parity_rows_with_challenges( + dimensions: InstructionReadRafDimensions, + r_reduction: &[F], + rows: Vec, + round_challenge: impl Fn(usize) -> F, ) { let gamma = F::from_u64(0xACE1_57EF); @@ -2229,7 +2378,7 @@ mod tests { assert_eq!(rounds, optimized.num_rounds()); let mut claim = input_claim(&rows, r_reduction, gamma); for round in 0..rounds { - let bind = round.checked_sub(1).map(challenge); + let bind = round.checked_sub(1).map(&round_challenge); let reference_poly = reference.prove_round(bind, round, claim).unwrap(); let optimized_poly = optimized.prove_round(bind, round, claim).unwrap(); assert_eq!( @@ -2237,10 +2386,14 @@ mod tests { optimized_poly.coefficients(), "round {round} polynomial mismatch" ); - claim = reference_poly.evaluate(challenge(round)); + claim = reference_poly.evaluate(round_challenge(round)); } - reference.finish_rounds(challenge(rounds - 1)).unwrap(); - optimized.finish_rounds(challenge(rounds - 1)).unwrap(); + reference + .finish_rounds(round_challenge(rounds - 1)) + .unwrap(); + optimized + .finish_rounds(round_challenge(rounds - 1)) + .unwrap(); let inputs = InstructionReadRafInputClaims { lookup_output: F::from_u64(0), @@ -2281,6 +2434,79 @@ mod tests { assert_parity_rows(dimensions, &point, rows); } + #[test] + fn range_prefix_caches_match_reference_through_boundaries() { + fn check() { + let log_t = 12; + let dimensions = InstructionReadRafDimensions::new( + log_t, + 2 * RISCV_XLEN, + NonZeroUsize::new(8).unwrap(), + ); + let table = LookupTableKind::::RangeCheck(Default::default()).index(); + let point: Vec = (0..log_t).map(challenge).collect(); + for (repeated, zero_prefix_factor) in + [(false, false), (true, false), (false, true), (true, true)] + { + let rows: Vec<_> = (0..1 << log_t) + .map(|i| { + let value = if repeated { i % 32 } else { i } as u128 + 1; + let low = value.wrapping_mul(0x9e37_79b9_7f4a_7c15) & u128::from(u64::MAX); + let index = match i / SCAN_BLOCK { + 0 => low & u128::from(u32::MAX), + 1 => low, + 2 => (0xffu128 << 64) | low, + _ => (1u128 << 127) | low, + }; + InstructionReadRafWitness { + lookup_index: LookupIndex(index), + table_index: TableIndex(if i % 7 == 0 { None } else { Some(table) }), + raf_flag: InstructionRafFlag(i % 3 != 0), + } + }) + .collect(); + assert_eq!(ScanBlock::should_coalesce(&pack(&rows)), repeated); + assert_parity_rows_with_challenges(dimensions, &point, rows, |round| { + if zero_prefix_factor && round == 0 { + F::one() + } else { + challenge(round) + } + }); + } + } + check::(); + #[cfg(feature = "akita")] + check::(); + } + + #[test] + fn zero_range_keys_match_reference_through_final_address_phase() { + fn check() { + let log_t = 5; + let dimensions = InstructionReadRafDimensions::new( + log_t, + 2 * RISCV_XLEN, + NonZeroUsize::new(8).unwrap(), + ); + let table = LookupTableKind::::RangeCheck(Default::default()).index(); + let point: Vec = (0..log_t).map(challenge).collect(); + for prefix in [0, 7] { + let rows = (0..1 << log_t) + .map(|i| InstructionReadRafWitness { + lookup_index: LookupIndex(0), + table_index: TableIndex(Some(table)), + raf_flag: InstructionRafFlag(i >= prefix || i % 2 == 0), + }) + .collect(); + assert_parity_rows(dimensions, &point, rows); + } + } + check::(); + #[cfg(feature = "akita")] + check::(); + } + #[test] fn coalescing_preserves_weight_for_colliding_keys_and_classes() { fn check() { From 251c84c235e96aaed3916c9df28fd5bccdeba76c Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Sun, 1 Nov 2026 22:58:01 -0500 Subject: [PATCH 112/131] perf(spartan): reuse upstream product claims in uniskip (#2225) * perf(spartan): reuse upstream claims for product base nodes * perf(kernels): iterate product base nodes without feature-specific range lint * refactor(kernels): share uniskip node geometry and name the claim check Derive the product uni-skip base offset from the centered domain starts, the same law the outer uni-skip uses (correct for even domains too), and say where agreement between the reused stage-1 openings and the witness is enforced now that the uni-skip round sum holds by construction. --------- Co-authored-by: Quang Dao --- .../src/optimized/spartan_product.rs | 94 ++++++++++++------- 1 file changed, 60 insertions(+), 34 deletions(-) diff --git a/crates/jolt-kernels/src/optimized/spartan_product.rs b/crates/jolt-kernels/src/optimized/spartan_product.rs index df23689da0..916bd304fa 100644 --- a/crates/jolt-kernels/src/optimized/spartan_product.rs +++ b/crates/jolt-kernels/src/optimized/spartan_product.rs @@ -6,10 +6,9 @@ //! geometry: a 3-node uni-skip window over three factor lanes, a remainder //! over the plain cycle domain, and eight per-cycle witness columns. //! -//! Unlike the outer uni-skip, the in-domain `t1` nodes do not vanish (they -//! are the three stage-1 product claims), so all `2·3 − 1` node values are -//! computed; the extension coefficients at in-domain nodes are the 0/1 -//! Lagrange selectors, so one integer pipeline serves every node. +//! The base-domain `t1` values are the upstream Spartan product claims. +//! Only extension nodes are computed from the witness; the supplied claims +//! fill the base nodes when the first-round polynomial is assembled. #[cfg(feature = "field-inline")] use jolt_claims::protocols::composed::ComposedOpeningId; @@ -28,10 +27,10 @@ use jolt_claims::protocols::field_inline::geometry::product::{ use jolt_claims::protocols::jolt::geometry::spartan::{ branch_flag_product, jump_flag_product, left_instruction_input_product, lookup_output_product, next_is_noop_product, right_instruction_input_product, virtual_instruction_product, - write_lookup_output_to_rd_product, + write_lookup_output_to_rd_product, SpartanProductDimensions, }; use jolt_claims::protocols::jolt::{JoltDerivedId, SpartanProductVirtualizationPublic}; -use jolt_claims::{InputClaims as _, OutputClaims as _}; +use jolt_claims::{InputClaims as _, NoChallenges, OutputClaims as _}; use jolt_field::signed::{S128, S192, S256}; use jolt_field::{Accumulator as _, JoltField, WithAccumulator}; use jolt_poly::lagrange::{ @@ -72,8 +71,10 @@ use crate::{ const DOMAIN: usize = SPARTAN_PRODUCT_UNISKIP_DOMAIN_SIZE; const EXTENDED_SIZE: usize = 2 * DOMAIN - 1; +const EXTENSION_SIZE: usize = DOMAIN - 1; const DOMAIN_START: i64 = -((DOMAIN as i64 - 1) / 2); const EXTENDED_START: i64 = -((EXTENDED_SIZE as i64 - 1) / 2); +const BASE_START: usize = (DOMAIN_START - EXTENDED_START) as usize; /// The per-cycle product-virtualization witness: the three left/right factor /// lanes plus the two wire passengers, as native small scalars. @@ -97,9 +98,13 @@ pub struct SpartanProductRow { pub virtual_instruction: OpFlag, } -fn extension_coefficients() -> [[i64; DOMAIN]; EXTENDED_SIZE] { - let mut out = [[0i64; DOMAIN]; EXTENDED_SIZE]; - for (position, coefficients) in out.iter_mut().enumerate() { +fn extension_positions() -> impl Iterator { + (0..BASE_START).chain(BASE_START + DOMAIN..EXTENDED_SIZE) +} + +fn extension_coefficients() -> [[i64; DOMAIN]; EXTENSION_SIZE] { + let mut out = [[0i64; DOMAIN]; EXTENSION_SIZE]; + for (position, coefficients) in extension_positions().zip(out.iter_mut()) { let node = EXTENDED_START + position as i64; for (i, coefficient) in coefficients.iter_mut().enumerate() { let mut numerator: i128 = 1; @@ -118,19 +123,19 @@ fn extension_coefficients() -> [[i64; DOMAIN]; EXTENDED_SIZE] { out } -/// `left(node) · right(node)` for one cycle at every extended node, as exact integers: +/// `left(node) · right(node)` outside the base domain, as exact integers: /// `|left| < 2^74` (two u64 lanes and a flag, times composed coefficients ≤ 2^7), /// `|right| < 2^137` (the i128 lane), product `< 2^211` — inside `S256`. For cycles /// without field-inline activity: the field-inline lanes' factors are all zero there, /// so the three rv64 coefficient slots below are the whole composed sum; active -/// field-inline cycles route through [`field_extended_products`]. `coefficients` is +/// field-inline cycles route through [`field_extension_products`]. `coefficients` is /// [`extension_coefficients`], hoisted out of the per-cycle loop (its integer Lagrange /// build is not free at `2^23` calls). -fn extended_products( +fn extension_products( row: &SpartanProductRow, - coefficients: &[[i64; DOMAIN]; EXTENDED_SIZE], -) -> [S256; EXTENDED_SIZE] { - let mut out = [S256::zero(); EXTENDED_SIZE]; + coefficients: &[[i64; DOMAIN]; EXTENSION_SIZE], +) -> [S256; EXTENSION_SIZE] { + let mut out = [S256::zero(); EXTENSION_SIZE]; let left_lanes = [ i128::from(row.left_instruction_input.0), i128::from(row.lookup_output.0), @@ -153,16 +158,16 @@ fn extended_products( } out } -/// The field twin of [`extended_products`] for active field-inline cycles: the composed +/// The field twin of [`extension_products`] for active field-inline cycles: the composed /// left/right factor forms with the field-inline lane contributions from the pinned /// jolt-claims composed-lane helper (the same fold the verifier's composed checks /// perform). #[cfg(feature = "field-inline")] -fn field_extended_products( +fn field_extension_products( row: &SpartanProductRow, field_row: &FieldInlineSpartanRow, - coefficients: &[[F; DOMAIN]; EXTENDED_SIZE], -) -> [F; EXTENDED_SIZE] { + coefficients: &[[F; DOMAIN]; EXTENSION_SIZE], +) -> [F; EXTENSION_SIZE] { let factors = FieldProductLaneFactors { rs1_value: field_row.rs1_value, rs2_value: field_row.rs2_value, @@ -178,7 +183,7 @@ fn field_extended_products( F::from_bool(row.branch_flag.0), F::one() - F::from_bool(row.next_is_noop.0), ]; - let mut out = [F::zero(); EXTENDED_SIZE]; + let mut out = [F::zero(); EXTENSION_SIZE]; for (slot, weights) in out.iter_mut().zip(coefficients) { let mut left = F::zero(); let mut right = F::zero(); @@ -198,7 +203,7 @@ fn field_extended_products( } #[cfg(feature = "field-inline")] -fn extension_coefficient_fields() -> [[F; DOMAIN]; EXTENDED_SIZE] { +fn extension_coefficient_fields() -> [[F; DOMAIN]; EXTENSION_SIZE] { extension_coefficients().map(|coefficients| coefficients.map(F::from_i64)) } @@ -211,10 +216,10 @@ struct SpartanProductCarry { #[cfg(feature = "field-inline")] #[cfg_attr(feature = "allocative", allocative(visit = crate::backend::visit_heap_free_elements))] field_rows: Vec<(usize, FieldInlineSpartanRow)>, - t1_values: Vec, + extension_values: Vec, } -fn extended_t1_values( +fn extension_t1_values( rows: &BundleAccess<'_, SpartanProductRow>, prefix_cycles: usize, tau_low: &[F], @@ -231,9 +236,9 @@ fn extended_t1_values( let block = |x_out: usize| -> Result, WitnessError> { let mut accumulators: Vec<::SignedProductAccumulator> = - vec![Default::default(); EXTENDED_SIZE]; + vec![Default::default(); EXTENSION_SIZE]; #[cfg(feature = "field-inline")] - let mut field_sums = vec![F::zero(); EXTENDED_SIZE]; + let mut field_sums = vec![F::zero(); EXTENSION_SIZE]; #[cfg(feature = "field-inline")] let mut field_cursor = FieldInlineRowCursor::seek(field_rows, x_out * in_len); for (x_in, &e) in e_in @@ -245,13 +250,13 @@ fn extended_t1_values( let row = rows.row(t)?; #[cfg(feature = "field-inline")] if let Some(field_row) = field_cursor.advance(t) { - let products = field_extended_products(&row, field_row, &field_coefficients); + let products = field_extension_products(&row, field_row, &field_coefficients); for (sum, product) in field_sums.iter_mut().zip(&products) { *sum += e * *product; } continue; } - let products = extended_products(&row, &coefficients); + let products = extension_products(&row, &coefficients); for (accumulator, product) in accumulators.iter_mut().zip(&products) { accumulator.fmadd_s256(e, product); } @@ -268,10 +273,10 @@ fn extended_t1_values( .map(|accumulator| e_out[x_out] * accumulator.reduce()) .collect()) }; - let mut values = try_par_sum_vecs(prefix_cycles.div_ceil(in_len), EXTENDED_SIZE, block)?; + let mut values = try_par_sum_vecs(prefix_cycles.div_ceil(in_len), EXTENSION_SIZE, block)?; if prefix_cycles < 1usize << tau_low.len() { let mass = EqPolynomial::suffix_sum(tau_low, prefix_cycles); - let products = extended_products(&rows.row(prefix_cycles)?, &coefficients); + let products = extension_products(&rows.row(prefix_cycles)?, &coefficients); for (value, product) in values.iter_mut().zip(products) { let mut accumulator = ::SignedProductAccumulator::default(); accumulator.fmadd_s256(mass, &product); @@ -327,7 +332,7 @@ impl OptimizedProductUniskip { if let Some((cycle, _)) = field_rows.last() { prefix_cycles = prefix_cycles.max(cycle.saturating_add(1)).min(1 << log_t); } - let t1_values = extended_t1_values( + let extension_values = extension_t1_values( &rows.access(), prefix_cycles, tau_low, @@ -341,7 +346,7 @@ impl OptimizedProductUniskip { rows, #[cfg(feature = "field-inline")] field_rows, - t1_values, + extension_values, }); Ok(()) } @@ -385,7 +390,7 @@ impl UniskipKernel, SumcheckInputClaims>, + inputs: &SumcheckInputClaims>, ) -> Result, KernelError> { let &[tau_high] = late_tau else { return Err(KernelError::InvariantViolation { @@ -402,7 +407,28 @@ impl UniskipKernel, SumcheckInputClaims(DOMAIN, tau_high)?; let kernel_coefficients = interpolate_to_coeffs(DOMAIN_START, &kernel_values); - let t1_coefficients = interpolate_to_coeffs(EXTENDED_START, &carry.t1_values); + let mut t1_values = vec![F::zero(); EXTENDED_SIZE]; + for (position, value) in extension_positions().zip(&carry.extension_values) { + t1_values[position] = *value; + } + // At a base node, the relation's Lagrange input claim selects the + // corresponding stage-1 Spartan-outer product opening; the shared + // relation keeps the composed lane order, including field-inline. + // Those openings sit at `product_tau_low`'s point by construction in + // stage 2, so the uni-skip round sum no longer cross-checks them + // against the witness: the stage driver's final-claim self-check and + // the verifier do. + for (lane, value) in t1_values + .iter_mut() + .skip(BASE_START) + .take(DOMAIN) + .enumerate() + { + let node = F::from_i64(DOMAIN_START + lane as i64); + let relation = ProductUniskip::new(SpartanProductDimensions::new(carry.log_t), node); + *value = relation.input_claim(inputs, &NoChallenges::default())?; + } + let t1_coefficients = interpolate_to_coeffs(EXTENDED_START, &t1_values); Ok(UnivariatePoly::new(poly_mul( &kernel_coefficients, &t1_coefficients, @@ -1471,7 +1497,7 @@ mod tests { #[test] fn extension_coefficients_match_field_lagrange() { - for (position, coefficients) in extension_coefficients().iter().enumerate() { + for (position, coefficients) in extension_positions().zip(extension_coefficients().iter()) { let node = EXTENDED_START + position as i64; let expected = centered_lagrange_evals::(DOMAIN, Fr::from_i64(node)).unwrap(); for (i, &coefficient) in coefficients.iter().enumerate() { From 2b4a6ff84cd48e26ec71e5186d305fa6638bb01a Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Mon, 2 Nov 2026 01:55:47 -0500 Subject: [PATCH 113/131] perf(instruction): accumulate operand claims from native scalars (#2227) --- .../optimized/instruction_claim_reduction.rs | 77 +++++++++++++++++-- 1 file changed, 70 insertions(+), 7 deletions(-) diff --git a/crates/jolt-kernels/src/optimized/instruction_claim_reduction.rs b/crates/jolt-kernels/src/optimized/instruction_claim_reduction.rs index fa807f666d..a79062b087 100644 --- a/crates/jolt-kernels/src/optimized/instruction_claim_reduction.rs +++ b/crates/jolt-kernels/src/optimized/instruction_claim_reduction.rs @@ -202,17 +202,29 @@ impl OptimizedInstructionClaimReductionKernel { let access = self.rows.access(); let block = |idx_hi: usize| -> Result<[F; NUM_TABLES], WitnessError> { - let mut sums = [F::zero(); NUM_TABLES]; + let mut lookup_output = F::Accumulator::default(); + let mut left_lookup = F::Accumulator::default(); + let mut right_lookup = F::Accumulator::default(); + let mut left_input = F::Accumulator::default(); + let mut right_input = F::SignedProductAccumulator::default(); let start = idx_hi * lo_len; for (offset, &weight) in e_lo.iter().take(self.prefix_cycles - start).enumerate() { let row = access.row(start + offset)?; - let values = row.field_values::(); - for (sum, value) in sums.iter_mut().zip(values) { - *sum += weight * value; - } + lookup_output.fmadd_u64(weight, row.lookup_output.0); + left_lookup.fmadd_u64(weight, row.left_lookup_operand.0); + right_lookup.fmadd_u128(weight, row.right_lookup_operand.0); + left_input.fmadd_u64(weight, row.left_instruction_input.0); + right_input.fmadd_i128(weight, row.right_instruction_input.0); } let e_hi_eval = e_hi[idx_hi]; - Ok(sums.map(|sum| e_hi_eval * sum)) + Ok([ + lookup_output.reduce(), + left_lookup.reduce(), + right_lookup.reduce(), + left_input.reduce(), + right_input.reduce(), + ] + .map(|sum| e_hi_eval * sum)) }; let merge = |mut left: [F; NUM_TABLES], right: [F; NUM_TABLES]| { for (left, right) in left.iter_mut().zip(right) { @@ -381,7 +393,9 @@ mod tests { use jolt_claims::protocols::jolt::{ InstructionClaimReductionPublic, JoltDerivedId, TraceDimensions, }; - use jolt_field::{Fr, Ring}; + #[cfg(feature = "akita")] + use jolt_field::Prime128OffsetA7F7; + use jolt_field::{Fr, JoltField, Ring}; use jolt_poly::{BindingOrder, Polynomial}; use jolt_sumcheck::ProveRounds; use jolt_verifier::stages::relations::ConcreteSumcheck; @@ -565,4 +579,53 @@ mod tests { } } } + + fn check_operand_claims_at_scalar_boundaries() { + let unsigned = [0, 1, u128::MAX, 1u128 << 127, (1u128 << 64) + 7]; + let signed = [0, 1, -1, i128::MIN, i128::MAX, -(1i128 << 64)]; + let original: Vec<_> = (0..32) + .map(|i| InstructionOperandRow { + lookup_output: LookupOutput(u64::MAX - i as u64), + left_lookup_operand: LeftLookupOperand(i as u64), + right_lookup_operand: RightLookupOperand(unsigned[i % unsigned.len()]), + left_instruction_input: LeftInstructionInput(1u64 << (i % 64)), + right_instruction_input: RightInstructionInput(signed[i % signed.len()]), + }) + .collect(); + let points = [ + [0, 1, 0, 1, 0], + [2, 3, 5, 7, 11], + [u128::MAX - 7, 3, u128::MAX - 19, 7, 11], + ]; + for prefix in [0, 1, 7, 8, 9, 31, 32] { + let mut rows = original.clone(); + rows[prefix..].fill(original[31]); + for point in points { + let point = point.map(F::from_u128); + let weights = eq_table(&point); + let expected: [F; 5] = std::array::from_fn(|column| { + weights + .iter() + .zip(&rows) + .map(|(weight, row)| *weight * row.field_values::()[column]) + .sum() + }); + let mut kernel = OptimizedInstructionClaimReductionKernel::new( + &[F::from_u64(13); 5], + BundleStore::Retained(rows.clone()), + F::from_u64(17), + ) + .unwrap(); + kernel.bound_challenges = point.into_iter().rev().collect(); + assert_eq!(kernel.operand_claims().unwrap(), expected); + } + } + } + + #[test] + fn operand_claims_match_dense_evaluation_at_scalar_boundaries() { + check_operand_claims_at_scalar_boundaries::(); + #[cfg(feature = "akita")] + check_operand_claims_at_scalar_boundaries::(); + } } From 8cf0be5a83478874b5368202860fb38881ad84d3 Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Mon, 2 Nov 2026 01:56:14 -0500 Subject: [PATCH 114/131] perf(bytecode): detect repeated work across longer loops (#2229) * perf(bytecode): detect repetitions across longer loops * refactor(bytecode): reuse the long repeat window's merge cache per worker - grouped_evals keeps the same per-batch task split, but reuses one merge cache per rayon split via map_init instead of allocating 2048 entries (8192 slots) per batch per round; drain() already leaves the cache empty. - CycleGrouping carries min_groups instead of identifying the short plan by its entry count, and names the long sizes. The long window keeps the same threshold (one full task): a higher gate measured slower on SHA-2. The per-group merge loop is unchanged. --------- Co-authored-by: Quang Dao --- .../src/optimized/bytecode_read_raf.rs | 158 ++++++++++++------ 1 file changed, 106 insertions(+), 52 deletions(-) diff --git a/crates/jolt-kernels/src/optimized/bytecode_read_raf.rs b/crates/jolt-kernels/src/optimized/bytecode_read_raf.rs index 98898eb667..69b748bdc7 100644 --- a/crates/jolt-kernels/src/optimized/bytecode_read_raf.rs +++ b/crates/jolt-kernels/src/optimized/bytecode_read_raf.rs @@ -41,6 +41,7 @@ //! same value on every row. use std::collections::HashMap; +use std::ops::Range; use std::sync::Arc; use jolt_claims::protocols::jolt::geometry::bytecode::{ @@ -1075,10 +1076,38 @@ struct BytecodePcChunks { selectors: Vec, } -/// Groups per map-reduce task; repeated groups merge only within one task. +/// Groups per map-reduce task of the four-factor walk and the short window. const CYCLE_CHUNK: usize = 4096; -/// Distinct groups the merge cache holds, and the sampled block length. -const CYCLE_GROUP_ENTRIES: usize = 64; + +/// A window in which repeated PC groups are detected and merged. +#[derive(Clone, Copy)] +struct CycleGrouping { + /// Distinct groups the merge cache holds, and the sampled block length. + entries: usize, + /// Groups per map-reduce task; repeated groups merge only within one task. + batch: usize, + /// Fewest groups for which this window is sampled at all. + min_groups: usize, +} + +impl CycleGrouping { + const LONG_ENTRIES: usize = 2048; + const LONG_BATCH: usize = 16384; + + const SHORT: Self = Self { + entries: 64, + batch: CYCLE_CHUNK, + min_groups: 0, + }; + /// Sampled only when a round fills at least one task. A higher gate keeps + /// rounds with few tasks off this window, but on SHA-2 those rounds still + /// win more from merging than they lose to parallelism. + const LONG: Self = Self { + entries: Self::LONG_ENTRIES, + batch: Self::LONG_BATCH, + min_groups: Self::LONG_BATCH, + }; +} impl BytecodePcChunks { /// Every column index is a function of this PC alone, so equal PC tuples @@ -1098,6 +1127,22 @@ impl BytecodePcChunks { (0..2 * width) .all(|offset| self.pc(2 * width * left + offset) == self.pc(2 * width * right + offset)) } + + /// The first window whose sample repeats often. A long loop can appear + /// nonrepeating inside the short window. + fn grouping_plan(&self, groups: usize, width: usize) -> Option { + [CycleGrouping::SHORT, CycleGrouping::LONG] + .into_iter() + .find(|plan| { + groups >= plan.min_groups + && repeats_often( + groups, + plan.entries, + |y| self.group_hash(y, width), + |a, b| self.same_group(a, b, width), + ) + }) + } } impl ChunkIndexSource for BytecodePcChunks { @@ -1225,51 +1270,50 @@ impl CycleKernel { return None; }; let width = *width; - if !repeats_often( - half, - CYCLE_GROUP_ENTRIES, - |y| source.group_hash(y, width), - |a, b| source.same_group(a, b, width), - ) { - return None; - } + let plan = source.grouping_plan(half, width)?; // Equal ordered PC tuples have identical RA factors at this round. Only // their coefficient polynomials are added; fused increments may differ. - // Every collision and batch end flushes the old contribution. The cache - // is local to this call, so it cannot survive a binding challenge. - Some(map_reduce_chunks( - half, - CYCLE_CHUNK, - |range| { - let mut acc = vec![F::zero(); self.degree]; - let mut pairs = vec![(F::zero(), F::zero()); self.ra.num_polys()]; - let mut cache = RepeatCache::<(usize, [F; 3])>::new(CYCLE_GROUP_ENTRIES); - for y in range { - let entry = cache.entry(source.group_hash(y, width)); - let coefficients = self.coefficient(y); - if let Some((old, sum)) = entry { - if source.same_group(*old, y, width) { - for (sum, value) in sum - .iter_mut() - .zip(coefficients) - .take(if cfg!(feature = "akita") { 3 } else { 2 }) - { - *sum += value; - } - continue; + // Every collision and batch end flushes the old contribution, and the + // final drain leaves the cache empty for the worker's next batch. The + // caches are local to this call, so they cannot survive a binding + // challenge. + let batch = |cache: &mut RepeatCache<(usize, [F; 3])>, range: Range| { + let mut acc = vec![F::zero(); self.degree]; + let mut pairs = vec![(F::zero(), F::zero()); self.ra.num_polys()]; + for y in range { + let entry = cache.entry(source.group_hash(y, width)); + let coefficients = self.coefficient(y); + if let Some((old, sum)) = entry { + if source.same_group(*old, y, width) { + for (sum, value) in sum + .iter_mut() + .zip(coefficients) + .take(if cfg!(feature = "akita") { 3 } else { 2 }) + { + *sum += value; } - self.accumulate_coefficient(*old, *sum, &mut acc, &mut pairs); + continue; } - *entry = Some((y, coefficients)); + self.accumulate_coefficient(*old, *sum, &mut acc, &mut pairs); } - for (y, coefficients) in cache.drain() { - self.accumulate_coefficient(y, coefficients, &mut acc, &mut pairs); - } - acc - }, - merge_evals, - || vec![F::zero(); self.degree], - )) + *entry = Some((y, coefficients)); + } + for (y, coefficients) in cache.drain() { + self.accumulate_coefficient(y, coefficients, &mut acc, &mut pairs); + } + acc + }; + #[cfg(feature = "parallel")] + let evals = (0..half.div_ceil(plan.batch)) + .into_par_iter() + .map_init( + || RepeatCache::new(plan.entries), + |cache, c| batch(cache, c * plan.batch..((c + 1) * plan.batch).min(half)), + ) + .reduce(|| vec![F::zero(); self.degree], merge_evals); + #[cfg(not(feature = "parallel"))] + let evals = batch(&mut RepeatCache::new(plan.entries), 0..half); + Some(evals) } } @@ -2227,11 +2271,13 @@ mod grouped_cycle_tests { use rand_chacha::ChaCha20Rng; use rand_core::SeedableRng; - fn check(num_ra: usize) { - let n = 1 << 16; + fn check(num_ra: usize, long_period: bool) { + let log_n = if long_period { 17 } else { 16 }; + let n = 1 << log_n; + let period = if long_period { 2064 } else { 31 }; let mut rng = ChaCha20Rng::seed_from_u64(2187); let pcs: Vec = (0..n) - .map(|j| if j < n - 17 { (j % 31) * 7 % 256 } else { 0 }) + .map(|j| if j < n - 17 { (j % period) * 7 } else { 0 }) .collect(); let rows = Arc::new(ConstantSuffix::from( pcs.iter() @@ -2268,9 +2314,10 @@ mod grouped_cycle_tests { .map(|i| RaChunkSelector::new(i, num_ra, 4).unwrap()) .collect(), }; - let mut cache = RepeatCache::new(CYCLE_GROUP_ENTRIES); + let plan = source.grouping_plan(n / 2, 1).unwrap(); + let mut cache = RepeatCache::new(plan.entries); let mut collision = false; - for y in 0..31 { + for y in 0..period { let entry = cache.entry(source.group_hash(y, 1)); collision |= entry.is_some_and(|old| !source.same_group(old, y, 1)); *entry = Some(y); @@ -2286,7 +2333,7 @@ mod grouped_cycle_tests { let mut fused_combined = Polynomial::new((0..n).map(|_| F::random(&mut rng)).collect()); let degree = num_ra + if cfg!(feature = "akita") { 2 } else { 1 }; let mut kernel = CycleKernel { - progress: RoundProgress::new(16), + progress: RoundProgress::new(log_n), degree, ra: LazyFoldedRa::new(tables, source), combined: EqPrefix::from_evals(combined.evals().to_vec()), @@ -2302,7 +2349,7 @@ mod grouped_cycle_tests { for round in 0..=4 { let groups = combined.len() / 2; let grouped = kernel.grouped_evals(groups); - assert_eq!(grouped.is_some(), round < 4); + assert_eq!(grouped.is_some(), round < if long_period { 3 } else { 4 }); let product = kernel.four_ra_evals(groups); assert_eq!(product.is_some(), num_ra == 4); let at = |poly: &Polynomial, y: usize, t: F| { @@ -2347,12 +2394,19 @@ mod grouped_cycle_tests { } } + #[test] + fn long_period_pc_groups_preserve_independent_coefficients() { + check::(4, true); + #[cfg(feature = "akita")] + check::(4, true); + } + #[test] fn repeated_pc_groups_preserve_independent_coefficients() { for num_ra in [2, 4] { - check::(num_ra); + check::(num_ra, false); #[cfg(feature = "akita")] - check::(num_ra); + check::(num_ra, false); } } } From 0a52513c8b8e2bf441919a8ed06553a58caf1c87 Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Mon, 2 Nov 2026 01:56:38 -0500 Subject: [PATCH 115/131] perf(akita): prepare sparse shift views once per batch (#2226) * Prepare bounded sparse commitment source views before tile accumulation * refactor(akita): one chunked digit-window kernel for sparse shift batches Fold the prepared-view fast path and the old per-tile window/shift walk into one kernel. accumulate_slots resolves full-length shifted views into a stack array of VIEW_BATCH (64) thin slices and runs the tile loop once per full chunk, so batches above 64 shifts take extra passes over dst instead of falling back to a second copy of the tile loop. This removes the bool return, the >64 fallback, and the impossible first_chunk-failure branch (now an expect on the 2*D digit layout). Every production batch (<= D/16 <= 32 from commit.rs, < 60 from ntt_commit.rs) is one chunk, so the hot path is unchanged: the same view collection, the same tile loop, and the same per-tile work as before. --------- Co-authored-by: Quang Dao --- .../src/trace_onehot/digit_windows.rs | 51 +++++++++++++++---- crates/jolt-akita/src/trace_onehot/tests.rs | 45 ++++++++++++++++ 2 files changed, 87 insertions(+), 9 deletions(-) diff --git a/crates/jolt-akita/src/trace_onehot/digit_windows.rs b/crates/jolt-akita/src/trace_onehot/digit_windows.rs index 592ade37c6..414b73cc6b 100644 --- a/crates/jolt-akita/src/trace_onehot/digit_windows.rs +++ b/crates/jolt-akita/src/trace_onehot/digit_windows.rs @@ -14,6 +14,11 @@ use crate::AkitaField; /// Keep four on other targets to avoid spilling on baseline SSE2. const TILE: usize = if cfg!(target_arch = "aarch64") { 8 } else { 4 }; +/// Shifted views resolved per pass over a destination. Every production batch +/// fits in one pass: at most `D / one_hot_k` (commit.rs) and below +/// `DOT_BATCH * NTT_MIN_SHIFTS_PER_RING` (ntt_commit.rs). +const VIEW_BATCH: usize = 64; + /// One destination ring element as unreduced [`Fp128x8i32`] lanes. pub(super) type DigitAccumulator = [Fp128x8i32; D]; @@ -65,19 +70,47 @@ impl DigitWindows { .iter() .flat_map(AsRef::as_ref) .all(|&shift| shift < D)); - if shifts.iter().all(|shifts| shifts.as_ref().is_empty()) { + let Some(first) = windows.first() else { + return; + }; + let mut views = [first.shifted(0); VIEW_BATCH]; + let mut len = 0; + for (window, shifts) in windows.iter().zip(shifts) { + for &shift in shifts.as_ref() { + if len == VIEW_BATCH { + Self::accumulate_views(dst, &views); + len = 0; + } + views[len] = window.shifted(shift); + len += 1; + } + } + Self::accumulate_views(dst, &views[..len]); + } + + /// Coefficient `j` of `a · X^shift` is entry `j` of the view. + #[expect( + clippy::expect_used, + reason = "new() sizes digits to 2 * D, so the tail from D - shift holds D + shift entries" + )] + fn shifted(&self, shift: usize) -> &[[u16; 8]; D] { + self.digits[D - shift..] + .first_chunk::() + .expect("digit windows hold 2 * D entries") + } + + // Full-length views let the tile loop skip the window/shift walk and + // index each tile at a constant offset into a fixed-length array. + fn accumulate_views(dst: &mut DigitAccumulator, views: &[&[[u16; 8]; D]]) { + if views.is_empty() { return; } for (tile, out) in dst.chunks_exact_mut(TILE).enumerate() { - let base = D + tile * TILE; let mut sums = [[0u32; 8]; TILE]; - for (window, shifts) in windows.iter().zip(shifts) { - for &shift in shifts.as_ref() { - for (sum, digits) in sums.iter_mut().zip(&window.digits[base - shift..][..TILE]) - { - for (sum, &digit) in sum.iter_mut().zip(digits) { - *sum += u32::from(digit); - } + for view in views { + for (sum, digits) in sums.iter_mut().zip(&view[tile * TILE..][..TILE]) { + for (sum, &digit) in sum.iter_mut().zip(digits) { + *sum += u32::from(digit); } } } diff --git a/crates/jolt-akita/src/trace_onehot/tests.rs b/crates/jolt-akita/src/trace_onehot/tests.rs index 05b45755db..11f1b07bdc 100644 --- a/crates/jolt-akita/src/trace_onehot/tests.rs +++ b/crates/jolt-akita/src/trace_onehot/tests.rs @@ -239,6 +239,51 @@ fn digit_windows_match_shift_accumulation() { assert_digit_windows_match_shift_accumulation::<512>(); } +#[test] +fn digit_windows_multi_slot_batches_match_signed_convolution() { + const D: usize = 64; + let sources: Vec<_> = (0..6) + .map(|slot| { + CyclotomicRing::::from_coefficients(std::array::from_fn(|j| { + let value = AkitaField::from_u128(u128::MAX / ((j + slot + 2) as u128)); + if (j + slot) % 2 == 0 { + value + } else { + -value + } + })) + }) + .collect(); + let windows: Vec<_> = sources + .iter() + .map(|source| { + let mut window = DigitWindows::new(); + window.load(source); + window + }) + .collect(); + for count in [0, 1, 63, 64, 65, 191] { + let mut shifts = vec![Vec::new(); sources.len()]; + for i in 0..count { + shifts[[0, 2, 5][i % 3]].push((i * 17) % D); + } + let mut actual = [std::array::from_fn(|j| { + Fp128x8i32::from(sources[0].coeffs[j]) + })]; + let mut expected: AkitaWideRing = AkitaWideRing::from_ring(&sources[0]); + for (source, shifts) in sources.iter().zip(&shifts) { + let wide: AkitaWideRing = AkitaWideRing::from_ring(source); + for &shift in shifts { + wide.shift_accumulate_into(&mut expected, shift); + } + } + DigitWindows::accumulate_slots(&windows, &mut actual[0], &shifts); + let mut reduced = [CyclotomicRing::zero()]; + flush_digit_accumulators(&mut actual, &mut reduced); + assert_eq!(reduced[0], expected.reduce::()); + } +} + #[test] fn digit_windows_stay_exact_at_accumulation_budget() { const D: usize = 64; From 91b9c6f664ec550b7a3ef71d1aa3b34f9d0138a2 Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Mon, 2 Nov 2026 01:57:08 -0500 Subject: [PATCH 116/131] perf(spartan): group weighted products by repeated guard endpoints (#2233) * perf(spartan): reuse guard folds during remainder preparation * perf(spartan): group weighted products by repeated guard endpoints * refactor(kernels): back spartan guard endpoints with RepeatCache Consolidate the outer-remainder guard grouping from #2222/#2233: - Delete `fold_group`, which restated `fold_guards` + `fold_values`. The constant-tail row and field-inline rows now call those two directly (`RowGroupValues::fold_b` / `FieldGroupValues::fold_b` own the B folds). - `GuardEndpoints` stores its groups in the shared `RepeatCache` (same 128 slots: 32 entries x 4) instead of a hand-rolled slot array. The cache is allocated once per rayon split via `map_init` (once for the serial path) and `finish(self)` drains it, so blocks no longer zero-initialize a 22-43 KB stack array each. The slot hash stays a single multiply (byte swapped so `RepeatCache`'s low-bit mask sees the product's high bits) rather than `repeat_hash`'s three. - Active field-inline rows go through `add` (their A side is the same integer guard fold), so `add_direct` is private to the out-of-range fallback. - Add `remainder_matches_reference_with_repeated_guard_rows` (log_t = 12, period 48) so hits, multi-row groups, and collision flushes in the real `prepare` path are checked against the reference kernel. The per-row hot loop is unchanged: same row decode, B folds, lookup, and two accumulator fmadds per row. --------- Co-authored-by: Quang Dao --- .../src/optimized/spartan_outer.rs | 170 +++++++++------- .../optimized/spartan_outer/guard_groups.rs | 190 ++++++++++++++++-- 2 files changed, 277 insertions(+), 83 deletions(-) diff --git a/crates/jolt-kernels/src/optimized/spartan_outer.rs b/crates/jolt-kernels/src/optimized/spartan_outer.rs index 47b105b3c0..1ad4680677 100644 --- a/crates/jolt-kernels/src/optimized/spartan_outer.rs +++ b/crates/jolt-kernels/src/optimized/spartan_outer.rs @@ -107,7 +107,7 @@ use super::prefix_product::PrefixColumn; use super::support::map_reduce_chunks; use super::support::{ pin_derived_term_if_derived, try_par_sum_vecs, BundleAccess, BundleStore, GruenRoundMessage, - PrefixCycleWeights, RoundChallenges, + PrefixCycleWeights, RepeatCache, RoundChallenges, }; use crate::uniskip::UniskipKernel; use crate::{ @@ -115,7 +115,7 @@ use crate::{ }; mod guard_groups; -use guard_groups::GuardGroups; +use guard_groups::{GuardEndpointGroup, GuardEndpoints, GuardGroups, GUARD_ENDPOINT_ENTRIES}; const DOMAIN: usize = SPARTAN_OUTER_UNISKIP_DOMAIN_SIZE; const SECOND_GROUP_LEN: usize = SPARTAN_OUTER_SECOND_GROUP_ROW_COUNT; @@ -221,14 +221,13 @@ struct SpartanOuterRow { impl SpartanOuterRow { fn folded_groups(&self, lagrange: &[F]) -> ([F; 2], [F; 2]) { let values = self.group_values(); - let (a0, b0) = fold_group(lagrange, &values.a_first, &values.b_first, &[0; DOMAIN]); - let (a1, b1) = fold_group( - lagrange, - &values.a_second, - &values.b_second_lo, - &values.b_second_hi, - ); - ([a0, a1], [b0, b1]) + ( + [ + fold_guards(lagrange, &values.a_first), + fold_guards(lagrange, &values.a_second), + ], + values.fold_b(lagrange), + ) } } @@ -350,6 +349,15 @@ struct RowGroupValues { b_second_hi: [i128; SECOND_GROUP_LEN], } +impl RowGroupValues { + fn fold_b(&self, weights: &[F]) -> [F; 2] { + [ + fold_values(weights, &self.b_first, &[0; DOMAIN]), + fold_values(weights, &self.b_second_lo, &self.b_second_hi), + ] + } +} + /// One active field-inline cycle's composed group values, in field form: the /// field-inline magnitudes are full field elements, so the integer pipeline cannot /// carry them. Its work is proportional to active cycles, which may occupy @@ -393,34 +401,20 @@ impl FieldGroupValues { }) } - fn fold_first(&self, weights: &[F]) -> (F, F) { - let (a, b) = fold_group( - weights, - &self.integer.a_first, - &self.integer.b_first, - &[0; DOMAIN], - ); - let correction: F = weights[RV64_FIRST_GROUP_LEN..] + /// Only B carries field corrections; the A folds are `self.integer`'s. + fn fold_b(&self, weights: &[F]) -> [F; 2] { + let [first, second] = self.integer.fold_b(weights); + let first_correction: F = weights[RV64_FIRST_GROUP_LEN..] .iter() .zip(self.b_first) .map(|(c, b)| *c * b) .sum(); - (a, b + correction) - } - - fn fold_second(&self, weights: &[F]) -> (F, F) { - let (a, b) = fold_group( - weights, - &self.integer.a_second, - &self.integer.b_second_lo, - &self.integer.b_second_hi, - ); - let correction: F = weights[RV64_SECOND_GROUP_LEN..SECOND_GROUP_LEN] + let second_correction: F = weights[RV64_SECOND_GROUP_LEN..SECOND_GROUP_LEN] .iter() .zip(self.b_second) .map(|(c, b)| *c * b) .sum(); - (a, b + correction) + [first + first_correction, second + second_correction] } } @@ -791,19 +785,35 @@ fn wide_value(top: i128, low: u64) -> S256 { S256::new([low, top as u64, (top >> 64) as u64, 0], is_positive) } -fn fold_group(weights: &[F], guards: &[i64], lo: &[i128], hi: &[i128]) -> (F, F) { +fn fold_guards(weights: &[F], guards: &[i64]) -> F { let mut az = ::SmallScalarAccumulator::default(); - let mut bz = ::SignedProductAccumulator::default(); - for (((&weight, &guard), &lo), &hi) in weights.iter().zip(guards).zip(lo).zip(hi) { + for (&weight, &guard) in weights.iter().zip(guards) { az.fmadd_i64(weight, guard); - let (top, low) = (hi + (lo >> 64), lo as u64); - match top { - 0 => bz.fmadd_signed_u64(weight, low, true), - -1 if low != 0 => bz.fmadd_signed_u64(weight, low.wrapping_neg(), false), - _ => bz.fmadd_s256(weight, &wide_value(top, low)), - } } - (az.reduce(), bz.reduce()) + az.reduce() +} + +fn fold_values(weights: &[F], lo: &[i128], hi: &[i128]) -> F { + let mut bz = ::SignedProductAccumulator::default(); + for ((&weight, &lo), &hi) in weights.iter().zip(lo).zip(hi) { + accumulate_group_value(&mut bz, weight, lo, hi); + } + bz.reduce() +} + +#[inline] +fn accumulate_group_value( + sum: &mut F::SignedProductAccumulator, + weight: F, + lo: i128, + hi: i128, +) { + let (top, low) = (hi + (lo >> 64), lo as u64); + match top { + 0 => sum.fmadd_signed_u64(weight, low, true), + -1 if low != 0 => sum.fmadd_signed_u64(weight, low.wrapping_neg(), false), + _ => sum.fmadd_s256(weight, &wide_value(top, low)), + } } /// The uni-skip carry: everything the uni-skip front computes that the @@ -1164,41 +1174,45 @@ impl OuterRemainderKernel { }; #[cfg(feature = "field-inline")] let field_rows_ref: &[(usize, FieldInlineSpartanRow)] = &field_rows; - let block = |x_out: usize, + // `try_reduce` discards every block result once one block fails, so + // groups an aborted block leaves in a reused cache never reach a result. + let block = |groups: &mut RepeatCache>, + x_out: usize, az_chunk: &mut [F], bz_chunk: &mut [F]| -> Result<(F, F), WitnessError> { - let mut inner_zero = F::zero(); - let mut inner_infinity = F::zero(); + let mut guard_endpoints = GuardEndpoints::new(lagrange, groups); #[cfg(feature = "field-inline")] let mut field_cursor = FieldInlineRowCursor::seek(field_rows_ref, x_out * in_len); for x_in in 0..az_chunk.len() / 2 { let t = x_out * in_len + x_in; let row = access.row(t)?; - let integer_fold = || { - let ([az_zero, az_one], [bz_zero, bz_one]) = row.folded_groups(lagrange); - (az_zero, bz_zero, az_one, bz_one) - }; #[cfg(feature = "field-inline")] - let (az_zero, bz_zero, az_one, bz_one) = - if let Some(field_row) = field_cursor.advance(t) { - let values = row.field_group_values(field_row); - let (az_zero, bz_zero) = values.fold_first(lagrange); - let (az_one, bz_one) = values.fold_second(lagrange); - (az_zero, bz_zero, az_one, bz_one) - } else { - integer_fold() - }; + let (values, [bz_zero, bz_one]) = if let Some(field_row) = field_cursor.advance(t) { + let values = row.field_group_values(field_row); + let bz = values.fold_b(lagrange); + (values.integer, bz) + } else { + let values = row.group_values(); + let bz = values.fold_b(lagrange); + (values, bz) + }; + #[cfg(not(feature = "field-inline"))] + let values = row.group_values(); #[cfg(not(feature = "field-inline"))] - let (az_zero, bz_zero, az_one, bz_one) = integer_fold(); + let [bz_zero, bz_one] = values.fold_b(lagrange); + let [az_zero, az_one] = guard_endpoints.add( + &values.a_first, + &values.a_second, + [bz_zero, bz_one], + e_in[x_in], + ); az_chunk[2 * x_in] = az_zero; az_chunk[2 * x_in + 1] = az_one; bz_chunk[2 * x_in] = bz_zero; bz_chunk[2 * x_in + 1] = bz_one; - let e = e_in[x_in]; - inner_zero += e * (az_zero * bz_zero); - inner_infinity += e * ((az_one - az_zero) * (bz_one - bz_zero)); } + let [inner_zero, inner_infinity] = guard_endpoints.finish(); Ok((e_out[x_out] * inner_zero, e_out[x_out] * inner_infinity)) }; let add = |left: (F, F), right: (F, F)| (left.0 + right.0, left.1 + right.1); @@ -1208,7 +1222,10 @@ impl OuterRemainderKernel { .par_chunks_mut(width) .zip(bz.par_chunks_mut(width)) .enumerate() - .map(|(x_out, (az_chunk, bz_chunk))| block(x_out, az_chunk, bz_chunk)) + .map_init( + || RepeatCache::new(GUARD_ENDPOINT_ENTRIES), + |groups, (x_out, (az_chunk, bz_chunk))| block(groups, x_out, az_chunk, bz_chunk), + ) .try_reduce( || (F::zero(), F::zero()), |left, right| Ok(add(left, right)), @@ -1216,10 +1233,11 @@ impl OuterRemainderKernel { #[cfg(not(feature = "parallel"))] let endpoints = { let mut folded = (F::zero(), F::zero()); + let mut groups = RepeatCache::new(GUARD_ENDPOINT_ENTRIES); for (x_out, (az_chunk, bz_chunk)) in az.chunks_mut(width).zip(bz.chunks_mut(width)).enumerate() { - folded = add(folded, block(x_out, az_chunk, bz_chunk)?); + folded = add(folded, block(&mut groups, x_out, az_chunk, bz_chunk)?); } folded }; @@ -1923,7 +1941,7 @@ mod tests { } fn parity_case(dummy_plane: &dyn JoltWitnessPlane, log_t: usize, seed: u64) { - parity_case_with_eq(dummy_plane, log_t, seed, None, false, None); + parity_case_with_eq(dummy_plane, log_t, seed, None, false, None, None); } fn parity_case_with_eq( @@ -1933,8 +1951,14 @@ mod tests { exceptional: Option, zero_scale: bool, prefix: Option, + period: Option, ) { let mut rows = synthetic_rows(log_t, seed); + if let Some(period) = period { + for t in period..rows.len() { + rows[t] = rows[t % period]; + } + } if let Some(prefix) = prefix { let tail = rows[rows.len() - 1]; rows[prefix..].fill(tail); @@ -2094,9 +2118,19 @@ mod tests { fn remainder_matches_reference_at_exceptional_eq_and_zero_scaling() { with_sample_backend(|dummy| { for case in ExceptionalEq::ALL { - parity_case_with_eq(dummy, 4, 389, Some(case), false, None); + parity_case_with_eq(dummy, 4, 389, Some(case), false, None, None); } - parity_case_with_eq(dummy, 4, 389, None, true, None); + parity_case_with_eq(dummy, 4, 389, None, true, None, None); + }); + } + + #[test] + fn remainder_matches_reference_with_repeated_guard_rows() { + with_sample_backend(|dummy| { + // log_t = 12 gives 64-row blocks; period 48 repeats 16 rows per + // block and collides keys in the 128-slot guard-endpoint cache. + parity_case_with_eq(dummy, 12, 389, None, false, None, Some(48)); + parity_case_with_eq(dummy, 12, 390, None, false, Some(3000), Some(48)); }); } @@ -2105,12 +2139,12 @@ mod tests { with_sample_backend(|dummy| { for prefix in [0, 1, 3, 7, 8, 9, 15, 16] { for seed in [389, 390] { - parity_case_with_eq(dummy, 4, seed, None, false, Some(prefix)); + parity_case_with_eq(dummy, 4, seed, None, false, Some(prefix), None); for case in ExceptionalEq::ALL { - parity_case_with_eq(dummy, 4, seed, Some(case), false, Some(prefix)); + parity_case_with_eq(dummy, 4, seed, Some(case), false, Some(prefix), None); } } - parity_case_with_eq(dummy, 4, 389, None, true, Some(prefix)); + parity_case_with_eq(dummy, 4, 389, None, true, Some(prefix), None); } }); } diff --git a/crates/jolt-kernels/src/optimized/spartan_outer/guard_groups.rs b/crates/jolt-kernels/src/optimized/spartan_outer/guard_groups.rs index 6cee6feb5c..5fcb4d189f 100644 --- a/crates/jolt-kernels/src/optimized/spartan_outer/guard_groups.rs +++ b/crates/jolt-kernels/src/optimized/spartan_outer/guard_groups.rs @@ -1,6 +1,7 @@ use jolt_field::{Accumulator, JoltField}; -use super::{extend, EXTENDED_NODE_COUNT}; +use super::{extend, fold_guards, DOMAIN, EXTENDED_NODE_COUNT, SECOND_GROUP_LEN}; +use crate::optimized::support::RepeatCache; const MAX_GROUPS: usize = 32; const MAP_BITS: usize = 7; @@ -34,19 +35,9 @@ impl GuardGroups values: [&[i128; M]; LIMBS], weight: F, ) -> bool { - if M > 21 { + let Some(key) = guard_key(guards) else { return false; - } - let mut key = 0u64; - let mut valid = true; - for (index, &guard) in guards.iter().enumerate() { - let digit = guard.wrapping_add(3) as u64; - valid &= digit <= 6; - key |= (digit & 7) << (3 * index); - } - if !valid { - return false; - } + }; let mut slot = (key.wrapping_mul(0x9e37_79b9_7f4a_7c15) >> (64 - MAP_BITS)) as usize; let group_index = loop { if let Some(index) = self.slots[slot] { @@ -101,6 +92,113 @@ impl GuardGroups } } +#[inline] +fn guard_key(guards: &[i64; M]) -> Option { + if M > 21 { + return None; + } + let mut key = 0u64; + let mut valid = true; + for (index, &guard) in guards.iter().enumerate() { + let digit = guard.wrapping_add(3) as u64; + valid &= digit <= 6; + key |= (digit & 7) << (3 * index); + } + valid.then_some(key) +} + +pub(super) struct GuardEndpointGroup { + key: [u64; 2], + values: [F; 2], + sums: [F::Accumulator; 2], +} + +impl GuardEndpointGroup { + fn flush(self, endpoints: &mut [F::Accumulator; 2]) { + endpoints[0].fmadd(self.values[0], self.sums[0].reduce()); + endpoints[1].fmadd(self.values[1] - self.values[0], self.sums[1].reduce()); + } +} + +/// Distinct guard-pair keys per [`GuardEndpoints`] cache; `RepeatCache` keeps +/// four slots per entry, so 128 slots. +pub(super) const GUARD_ENDPOINT_ENTRIES: usize = 32; + +/// Equal A interpolants factor out of the weighted B sums. Collisions flush +/// their group before replacement, keeping the per-equality-block scratch bounded. +/// `groups` must be empty on entry; [`Self::finish`] drains it for the next block. +pub(super) struct GuardEndpoints<'a, F: JoltField> { + weights: &'a [F], + groups: &'a mut RepeatCache>, + endpoints: [F::Accumulator; 2], +} + +impl<'a, F: JoltField> GuardEndpoints<'a, F> { + pub(super) fn new( + weights: &'a [F], + groups: &'a mut RepeatCache>, + ) -> Self { + Self { + weights, + groups, + endpoints: [F::Accumulator::default(); 2], + } + } + + #[inline] + pub(super) fn add( + &mut self, + first: &[i64; DOMAIN], + second: &[i64; SECOND_GROUP_LEN], + b: [F; 2], + weight: F, + ) -> [F; 2] { + let weights = self.weights; + let evaluate = || [fold_guards(weights, first), fold_guards(weights, second)]; + let (Some(first_key), Some(second_key)) = (guard_key(first), guard_key(second)) else { + let values = evaluate(); + self.add_direct(values, b, weight); + return values; + }; + let key = [first_key, second_key]; + // One multiply instead of `repeat_hash`'s three: `RepeatCache` masks + // the low bits, and the byte swap moves the product's mixed high bits there. + let hash = (first_key ^ second_key.rotate_left(27)) + .wrapping_mul(0x9e37_79b9_7f4a_7c15) + .swap_bytes(); + let cached = self.groups.entry(hash); + if let Some(group) = cached.take_if(|group| group.key != key) { + group.flush(&mut self.endpoints); + } + let group = cached.get_or_insert_with(|| GuardEndpointGroup { + key, + values: evaluate(), + sums: [F::Accumulator::default(); 2], + }); + group.sums[0].fmadd(weight, b[0]); + group.sums[1].fmadd(weight, b[1] - b[0]); + group.values + } + + #[inline] + fn add_direct(&mut self, a: [F; 2], b: [F; 2], weight: F) { + self.endpoints[0].fmadd(weight * a[0], b[0]); + self.endpoints[1].fmadd(weight * (a[1] - a[0]), b[1] - b[0]); + } + + pub(super) fn finish(self) -> [F; 2] { + let Self { + groups, + mut endpoints, + .. + } = self; + for group in groups.drain() { + group.flush(&mut endpoints); + } + endpoints.map(Accumulator::reduce) + } +} + #[cfg(test)] #[expect(clippy::unwrap_used, reason = "test module")] mod tests { @@ -108,9 +206,9 @@ mod tests { use crate::optimized::spartan_outer::{ DOMAIN, DOMAIN_START, EXTENDED_POSITIONS, EXTENDED_START, }; - #[cfg(feature = "akita")] - use jolt_field::Fp128; use jolt_field::Fr; + #[cfg(feature = "akita")] + use jolt_field::{Fp128, Prime128OffsetA7F7}; use jolt_poly::lagrange::centered_lagrange_evals; fn check() { @@ -191,4 +289,66 @@ mod tests { check::, { DOMAIN - 1 }, 2>(); } } + + fn check_folds() { + let weights: Vec = (0..DOMAIN) + .map(|i| F::from_u64(17 + 13 * i as u64)) + .collect(); + let mut groups = RepeatCache::new(GUARD_ENDPOINT_ENTRIES); + assert_eq!( + GuardEndpoints::new(&weights, &mut groups).finish(), + [F::zero(); 2] + ); + let mut cache = GuardEndpoints::new(&weights, &mut groups); + let mut endpoints = [F::zero(); 2]; + // More distinct guard vectors than slots exercise replacement; repeated + // vectors and out-of-range guards must obey the same linear formula. + for row in 0..512 { + let mut code = row; + let mut first = std::array::from_fn(|_| { + let value = (code % 7) as i64 - 3; + code /= 7; + value + }); + let second = std::array::from_fn(|i| ((row + 3 * i) % 7) as i64 - 3); + if row % 17 == 0 { + first[0] = 4; + } + let evaluate = |guards: &[i64]| { + weights + .iter() + .zip(guards) + .map(|(&weight, &guard)| weight * F::from_i64(guard)) + .sum::() + }; + let expected = [evaluate(&first), evaluate(&second)]; + for repeat in 0..2 { + let weight = F::from_u128((1u128 << 120) + row as u128 * 101 + repeat); + let b = [ + F::from_u128((1u128 << 110) + row as u128 * 17), + -F::from_u128((1u128 << 115) + row as u128 * 31 + repeat), + ]; + assert_eq!(cache.add(&first, &second, b, weight), expected); + endpoints[0] += weight * expected[0] * b[0]; + endpoints[1] += weight * (expected[1] - expected[0]) * (b[1] - b[0]); + } + } + let a = [F::from_u64(29), -F::from_u64(37)]; + let b = [F::from_u128(1u128 << 125), F::from_u128(1u128 << 123)]; + let weight = -F::from_u64(41); + cache.add_direct(a, b, weight); + endpoints[0] += weight * a[0] * b[0]; + endpoints[1] += weight * (a[1] - a[0]) * (b[1] - b[0]); + assert_eq!(cache.finish(), endpoints); + } + + #[test] + fn grouped_endpoints_match_weighted_linear_products() { + check_folds::(); + #[cfg(feature = "akita")] + { + check_folds::>(); + check_folds::(); + } + } } From c6703570588e88033b8722bd4dec47c7f46f3b16 Mon Sep 17 00:00:00 2001 From: Markos <53157953+markosg04@users.noreply.github.com> Date: Mon, 2 Nov 2026 02:56:20 -0500 Subject: [PATCH 117/131] feat(recursion): Akita field-inline verifier guest on main (#1911) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit * feat(field,inlines): field-inline guest kernels and hash/NTT inlines Fp128 and Fr dot, weighted-row dot, and multiply kernels over the field-inline ISA for RISC-V guests, with canonical readout checks. A digest adapter over the Blake2b inline, used by the transcripts and the shared Blake2b-256 hasher. A 64-point i32 NTT and six-product pointwise dot inline expanded into existing proved instructions. The tracer fixes the unit's modulus, so a guest selects the one field that routes through it: field-inline-guest-bn254 (Fr) or field-inline-guest-fp128 (Prime128OffsetA7F7). Every other field keeps the software path. * feat(sdk,platform): guest runtime for verifier-as-guest workloads Size-class allocator for std guests, word-wise memset/memcmp and an asm-load memcpy, write(2) and clock_gettime(2) trap shims, and an execute-with-output host entry point. * perf(claims,verifier): shape verifier algebra for guest costs Derived leaves for batching powers, direct output-claim value walks, indexed claim lookups, the factored Spartan outer clear check, and column-dot bytecode folds. The preprocessing digest hashes through the shared Blake2b-256 hasher, and the wire form is public for verifiers whose trust root fixes the digest. * feat(akita): prepared verifier for recursion guests AkitaVerifierSetup::prepare_verifier carries the expanded key, a selected-row catalog view, and the terminal NTT cache for the row a proof selected; detach/attach moves the payloads out of the record so a guest views them in place. Byte payloads serialize through serde_bytes. The backend pool is behind a default parallel feature. * feat(recursion): Akita verifier guest with embedded setup The recursion example verifies an Akita field-inline proof as a guest. Embedded mode bakes the setup, compiled bytecode rows, and the preprocessing digest into the image. trace --expect checks the verdict; CI requires acceptance and rejection of a tampered opening. Adds the design note. * perf(claims,poly,transcript): cheaper verifier bookkeeping for the guest - Bytecode read-RAF stage values fold against the address eq table by decoded flag class: rows sharing a flag set share one gamma bucket, and register operands accumulate into per-register buckets. The flag-to-gamma mapping has one owner, read_raf_flag_terms; the flag-class table uses word-sized slots. - The stage-1 outer remainder reads its produced openings off its Az and Bz factors instead of expanding tau*Az*Bz; every expanded term is a distinct unit-coefficient monomial, and a test pins the result to the expansion. - Contiguous sparse MLE runs read their low eq factor from one table. - The digest transcript updates one hasher in place instead of threading it through chain_update; transcript bytes are unchanged. * perf(field,inlines,akita): guest kernels, inline tuning, and the companion pin - jolt-field: shared-operand dot_rows, four-factor sum_of_products4, and register-resident signed sums (Field::signed_sum) on the field-inline guest. - jolt-inlines-ntt: butterfly sums reduce by a Montgomery product with the stage's first twiddle (the Montgomery form of 1), 5 rows instead of a 7-row conditional reduction; the registered expansion fixture is regenerated. - jolt-inlines-blake2: Blake2b::update_block_eager compresses a full non-final block now, so a hasher sharing a constant first block can be prepared once. - Recursion guest: the Keccak inline backs Akita's SHAKE sampling (hash-inlines feature). - Akita companion pinned at markosg04/akita@6faec6c78: an inline Blake2b transcript sponge byte-identical to spongefish's Blake2b512 (checked by jolt-akita against spongefish), word-window Golomb-Rice decoding, coefficient-major terminal folds, doubleword NTT input stores, inline proof-atom encoding, and batched compression-column evaluation. * perf(transcript)!: absorb opening claims and round coefficients as one message Sumcheck round coefficients and each batch of opening claims now absorb as one labeled message carrying the count and the big-endian values, instead of one message per scalar. This changes the transcript, and so the proof bytes, for every proof. Prover, verifier, and BlindFold absorb through the shared append_round_coefficients and append_opening_claims helpers in jolt-sumcheck, whose transcript-facing bounds move from AppendToTranscript to CanonicalBytes. The Fiat-Shamir absorb- and challenge-site inventories are re-blessed, the checked-in jolt-verifier fuzz proof bundles are regenerated by their documented ignored tests, and the sumcheck compressed-round differential reference frames rounds through the shared helper. The standalone sumcheck consumer's field implements CanonicalBytes. jolt-blindfold's pairwise and lag-one correlation checks used a fixed 0.25 bound, under 3 sigma at 128 samples, which also fails for transcript-independent projections at other seeds; they now use 4 sigma, 4/sqrt(n) over n samples. * docs(recursion): record the guest-cost mechanisms and the 2^26 ladder * build(akita): pin canonical LayerZero-Labs/akita The Akita companion moves from the personal markosg04/akita fork to LayerZero-Labs/akita branch markos/recursion-integration: akita main 2607265b2 plus the recursion verifier-guest PRs (LayerZero-Labs/akita#186-#190). Repin to akita main once those merge. Akita main moved schedule, geometry, and dispatch types into a new akita-params crate and renamed AkitaScheduleLookupKey to ScheduleLookupKey; jolt-akita imports them from there. The trace-packed one-hot source implements the new OpeningBatchKernel::evaluate_and_fold_batch by folding each source. Akita main's guided planner now admits the four-group and two-full-width batches the schedules test expected it to reject. Neither shape reaches the full-planner fallback, which still admits only one full-width increment plus at most two advice groups, so the test now asserts that they plan through guided planning. The guest accepts at 66,175,726 rows (was 66,116,859 on the fork); the ported companion validates the setup descriptor and prefix registry and decodes the catalog view with postcard. * fix(recursion): close review findings on trust boundaries and guest paths Adversarial review of the recursion guest PR: - Prepared Akita payloads: the backend key and terminal cache are used unchecked, so an inline copy decoded from a setup record is refused there; only payloads this process prepared or a guest attached serve. Attached bodies are akita TrustedBytes tokens, so the one unchecked assumption (canonical key words) is made where the token is built, in the guest or host, and jolt-akita stays free of unsafe code. detach_prepared_payloads checks every payload before moving any. The host verifies proofs through the same detach-and-attach path the guest takes, and an integration test pins it. - Field-inline selectors are exclusive on riscv64 (a compile error otherwise); the unit's modulus contract and the reserved FR registers are documented. Row kernels (dot_base_rows, weighted_dot_base_rows) require matching row shapes on every path, as the guest kernels do. - Blake2b: jolt-transcript and jolt-claims use the inline hasher only on riscv64, so a host build with blake2-inline no longer panics. - The clear Spartan outer check accepts only shapes with affine terms, the shapes its factored form matches. - tamper-opening flips a bit inside the Akita opening proof, so CI's reject case runs through the PCS verifier (rejected after ~47.8M rows rather than at stage 1). - Guest runtime: zero-length write shim guarded; allocator and heap-split comments corrected; assume_static is an unsafe fn. - Docs: flag-class soundness guard, opening-claim message boundaries, non-additive jolt-sdk akita feature, spec measurements at this revision. - Akita pin: LayerZero-Labs/akita markos/recursion-integration, main plus the reviewed LayerZero-Labs/akita#186-#190. * chore(verifier): drop the redundant bn254 feature on jolt-crypto jolt-verifier's library code uses only jolt-crypto's ungated commitment traits. The BN254 types appear only in its unit tests, and jolt-blindfold, a non-optional dependency, enables jolt-crypto/bn254 itself, so the explicit feature changed nothing in the resolved build. Co-Authored-By: Claude Opus 5.5 * fix(sdk): share one size-class arena between Rust and musl in std guests Under guest-size-class-alloc, std guests split the heap at boot: ZeroOS's kernel heap kept a fixed heap_size/8 and the Rust arena the rest. The kernel heap backs every musl mmap (malloc arenas, pthread stacks, C allocations), so a guest that mapped more than an eighth of its heap failed with ENOMEM even when the Rust side had room. std guests on the size-class allocator now register it as ZeroOS's kernel heap, as no_std guests already do, and kinit hands it the whole heap. The Rust global allocator draws from the same arena. The allocator's SAFETY comment now states why calls cannot overlap with threads enabled. A guest runtime test maps a 3 MiB malloc and a 3 MiB pthread stack beside a 4 MiB Rust allocation on a 16 MiB heap; it failed on the split. Co-Authored-By: Claude Opus 5.5 * refactor(field): rename fr_inline to field_inline The guest kernels serve whichever field the field-inline unit computes in (Fr or Fp128), so the module and its comments use the field-inline terminology: field_inline.rs, "field registers", and the field-inline instruction profile. Co-Authored-By: Claude Opus 5.5 * perf(claims): list read-RAF and digit-zero output openings directly The default expected_output_openings expands output_expression only to collect its opening ids, and the clear verifier's output-shape check calls it before verification builds the expression again. Read-RAF and the digit-zero claim reduction have large expansions. Both outputs are sums of distinct monomials, so their openings are listed directly; a test pins each list to the expanded expression, as for the stage-1 outer remainder. The recursion guest drops 813,367 rows on the Fibonacci proof (66,254,853 to 65,441,486). Co-Authored-By: Claude Opus 5.5 * refactor(platform,sdk): drop the fast-mem guest routines Remove jolt-platform's word-wise memcpy, memset, and memcmp overrides (the fast-mem feature) and jolt-sdk's guest-fast-mem, so guests use musl's routines. Owning libc replacements is not worth it here; the sub-word access cost they dodge belongs in the ISA (Tiers 1 and 2 of specs/byte-addressable-memory.md, #2013). The recursion guest's Fibonacci trace grows from 65,441,486 to 69,059,130 rows, 1,950,266 over 2^26. The following commits recover part of that. Co-Authored-By: Claude Opus 5.5 * perf(inlines): pack Blake2b input into message words The Blake2b SDK staged input through a 128-byte byte buffer. On a guest, each update's variable-length copy and each finalize's padding fill lowered to libc memcpy/memset calls, and every hasher clone copied the whole 216-byte struct. The Jolt digest transcript and Akita's transcript sponge both hash through this type. The buffer is now 16 little-endian message words whose bytes past the buffered length stay zero. Input is ORed in word by word (one aligned load per word when the source is aligned), finalize needs no padding pass, and Clone copies only the buffered words. Volatile word accesses keep LLVM from lowering these loops back into libc calls. Output bytes are unchanged; a new test checks every source alignment and split point against the blake2 crate. On its own, this saves the recursion guest 232,593 rows. Co-Authored-By: Claude Opus 5.5 * perf(platform): copy whole words when size-class realloc moves a block Both blocks are class-aligned and span whole words, so realloc copies 8-byte words instead of calling memcpy, which a std guest's libc performs partly in sub-word loads and stores. On its own, this saves the recursion guest 61,164 rows. Co-Authored-By: Claude Opus 5.5 * perf(cli): inline constant-size guest copies and fills up to 32 stores LLVM's RISC-V defaults lower constant-size memcpy/memset above a few stores to libc calls. In a guest those calls move data partly in sub-word loads and stores, each a multi-row sequence, so guest builds now raise the inline limits to 32 stores (-max-store-memcpy, -max-store-memset). On its own, this saves the recursion guest 948,480 rows; btreemap, alloc, collatz, the stdlib and large-alloc guests each drop slightly. 64 and 128 measured worse on the recursion guest than 32. Co-Authored-By: Claude Opus 5.5 * docs(spec): record recursion-guest rows without fast-mem The guest now accepts the Fibonacci inner proof at 67,622,320 rows, 513,456 over 2^26. Record the post-rebase rows, mark the target as unmet, and list cheaper sub-word memory as the lever. Co-Authored-By: Claude Opus 5.5 * fix(inlines): keep the Blake2b word-packing helper out of the absorb inventory The Fiat-Shamir inventory scanner treats any call named `absorb*` as a transcript absorb site, so the Blake2b hasher's input-packing helper, named `absorb` by db157e75a, left fs_obligations failing on an unlisted site. It packs hash input into message words and touches no transcript; rename it `or_into_words` and drop its inventory entries. Co-Authored-By: Claude Opus 5.5 * docs(spec): record recursion-guest rows after merging main A fresh Fibonacci proof at this revision accepts at 78,896,208 rows (76,805,832 verification cycles), 11,787,344 over 2^26. Input mode accepts at 86,254,204 rows and the tampered opening proof is rejected after 60,145,138. The increase over 67,622,320 is in the Akita trace-batch opening's root fold under main's native trace batching (#2012); the guest still verifies through its prepared payloads. Co-Authored-By: Claude Opus 5.5 * fix(sdk): name jolt-sdk's akita feature when it breaks a provable host build jolt-sdk's `akita` feature compiles out the Dory host helpers, because jolt-prover's `akita` compiles out `jolt_prover::dory`. `#[jolt::provable]` still expanded calls to them, so any host build that unified the feature with a provable crate (`--all-features`, or the recursion example's `akita` alongside another example) failed with unresolved paths into the missing Dory API: six errors for the fibonacci guest alone. The macro now wraps its Dory prove and verify functions in `jolt::__dory_host_items!`. jolt-sdk passes them through, except with both `host` and `akita` enabled, where it replaces them with a single compile error that names the feature and points at `jolt::jolt_prover::akita`. Guest builds and tracing helpers are unaffected. Co-Authored-By: Claude Opus 5.5 * refactor(field): generalize sum_of_products4 to sum_of_products Field::sum_of_products:: computes Σ_i Π_k terms[i][k] for any arity (an empty product is one). On a field-inline guest the kernel loads each term's K factors into the register file with K - 1 multiplies and reads the sum out once, as the four-factor kernel did. Akita's compression evaluation, its one caller, compiles to the same per-term sequence: the recursion guest accepts at 78,895,414 rows (was 78,896,208). sum_of_products4 forwards to it until the Akita companion calls sum_of_products; the repin that follows removes it. Co-Authored-By: Claude Opus 5.5 * build(akita): repin the companion and drop sum_of_products4 markos/recursion-integration now calls Field::sum_of_products directly (LayerZero-Labs/akita 38d8deb6, which also pins Jolt at e19eda725), so the four-factor forwarder has no caller left. The recursion guest accepts at 78,895,975 rows. Co-Authored-By: Claude Opus 5.5 * refactor(riscv): make flag_class name every row field The verifier's folded read-RAF evaluation reads each flag class's flags from one row, so a row field that a flag reads but flag_class omits breaks soundness, and the class test would not vary a new field. flag_class now destructures the row without `..`: adding a field to JoltInstructionRow fails to compile there until it is keyed or explicitly excluded. Flags starting to read the already excluded address or operands remain guarded only by flag_class_determines_read_raf_flag_terms. Guest rows are unchanged. Co-Authored-By: Claude Opus 5.5 * fix(sdk): emit trapped stdout writes in one host call The trap handler answered write(2) to fds 1 and 2 by calling putchar per byte, one host print per byte. The tracer decodes each print as UTF-8, so every non-ASCII character reached the host as replacement characters: a std guest's `println!("σ→²")` printed seven U+FFFD. The shim intercepts these writes before ZeroOS's console, so it bypassed #1960's single-call fix for every std guest. It now calls __platform_stdout_write, the console's single-call path, which also covers a null or empty buffer. The comment notes that fds 1 and 2 reach the host even if the guest redirected them. Co-Authored-By: Claude Opus 5.5 * docs(guests): document what std::time returns in a guest std guests' clock_gettime is answered by the runtime with a zero timestamp for every clock, so Instant::now and SystemTime::now succeed but never advance. The guest page now says so under Standard Library, the security model's no-clock rule links to it, and the recursion spec states what its trap shims return. Co-Authored-By: Claude Opus 5.5 * test(verifier): repin the ZK muldiv BlindFold shape at trace length 512 The jolt CLI's inline-store limits (83b94726f) compile the muldiv guest to fewer instructions, so it now runs in under 512 cycles and its padded trace length halves. The golden-shape audit pinned 1024, which failed CI's ZK job on every push since the branch could run CI again (from 179e7a605). With the CLI built without those two flags the old pins pass, so the change is the fixture, not the protocol. At 512 the BlindFold shape has 221 coefficient rows (was 227: one fewer committed round in each of six cycle sumchecks); the other counts are unchanged. Co-Authored-By: Claude Opus 5.5 * fix(field): bind the field-inline unit's modulus at guest boot jolt-field's guest kernels range-check readouts against the selected field's modulus, which assumes the tracer's field-inline unit computes in that field. Nothing checked it: a BN254-selected guest traced under the fp128 unit computed 3*5 in Fr as a wrong value that still read out canonically, and returned it without error. jolt_field::bind_field_inline_modulus accumulates the selected field's modulus into a cleared field register and asserts zero, proving that the unit's prime divides it and so equals it. jolt-sdk's std runtime calls it once from __platform_bootstrap, before main; it is a no-op without a selector. The same probe guest now fails at trace time ("FIELD_ASSERT_ZERO of nonzero field register 4"), and under the matching unit it returns the right product. Binding at boot keeps readouts free. Checking a static flag on every readout cost the recursion guest 2.33M rows; this path costs nothing measurable (78,892,856 rows, was 78,895,975). jolt-field has no no_std build, so its kernels only run in std guests, and jolt-sdk takes jolt-field under guest-std only, without its default BN254 field. Fr::MODULUS_LIMBS and Fp128::MODULUS_LIMBS match a16z/jolt#1995's. Co-Authored-By: Claude Opus 5.5 * fix(field,poly): keep signed_sum's accumulator safe from its iterator - field_inline::signed_sum holds its partial sum in REG_ACC while it pulls terms, so an iterator that called dot (or any accumulating kernel) overwrote the sum. The accumulators are now marked lent until the readout; Fp128 dispatch then takes the software path for dot, dot_rows, weighted dot rows, sum_of_products, and a nested signed_sum. The guard costs about 9,000 rows on the recursion guest. - sparse_mle_msb advanced its index past the final block, which overflowed for a run ending at index u128::MAX; it now returns after the last block. * build(akita): repin to the reviewed LayerZero-Labs/akita#186-#190 The companion moves to recursion-integration 78d31e124: Akita main 401e7972 plus the review revisions of #186-#190. - jolt-akita's config presets follow main's RingDimensionSchedule (#192). - Akita's guest transcript is now spongefish's own Blake2b sponge over the inline digest adapter, so the jolt-akita test pinning the hand-written sponge and Blake2b::update_block_eager, which only that sponge used, are removed. - specs/recursion-guest.md records a fresh proof at 79,348,402 rows. * docs(recursion): record rows after merging main and the Akita review fixes * docs(recursion): record rows after merging main * fix(recursion): follow main's sumcheck transcript and Akita prove APIs * docs(recursion): record rows after merging main * test(sumcheck): drop the external consumer's unused opening-claim imports * ci(recursion): run the Akita guest verdicts as their own job * docs(recursion): re-measure rows with an isolated guest build * Fix transcript feature selection after main merge * Adapt recursion code to main API renames * Reject malformed recursion records without panicking Use checked framing, bounded record decoding, and fallible proof and device reads. Return verdict zero for input errors while retaining distinct failures for corrupt embedded preprocessing. Exercise the guest parser on the host with truncations, excessive lengths, invalid padding, noncanonical fields, and malformed devices. (cherry picked from commit 3e308a58ac0861db2041222a5266dfc733111261) * Authenticate input setup against an image-fixed digest Bake the complete framed setup digest into input-mode guests and check it before setup decoding or trusted payload attachment. Cover the setup record and every detached key, catalog, and terminal-cache body; reject absent pins and substitutions. Keep embedded setup bound directly by the image. (cherry picked from commit 4bb679f41f8f8393dd546d41861a94639fe14534) * Require nonempty recursion batches and complete input consumption Reject zero proofs and trailing bytes after the final device record. Document the exact statement established by the unchanged one-word verdict and the need for consumers to bind the intended count and devices through the runtime input. (cherry picked from commit 0e3816c2e297a0443865125b9714d1035b66b658) * Size recursion input regions from the runtime proof section Use one checked input capacity for the generated guest macro and tracer configuration, including alignment and serialization overhead. Cover embedded muldiv in both commitment builds and check framing across length-prefix boundaries for every example. (cherry picked from commit f5b9684e907607d671dd327ba923a0496ae4ca41) * Document and pin the current Akita setup encoding State the incompatible optional-payload and prepared-verifier encoding and the required regeneration of stored preprocessing. Restore a frozen decode fixture covering absent and present prepared state, detached bodies, and decoded payload provenance. No independent setup-format version exists to bump. (cherry picked from commit 85a44076c6ba8e0f5f87a69ffe2545b60b54a41d) * Exercise recursion rejection boundaries and field kernel tails Add typed sumcheck, opening-claim, device-output, panic-bit, and empty-batch fixtures, plus input-mode and two-proof acceptance in CI. Compare compiled field arithmetic with native software folds across all row and element tails, including nested accumulator use and boundary operands. Run the checks through the existing guest build and tracer path for both field selectors. (cherry picked from commit 105e9e841b0891ef7b023efccf01193687848cf1) * Describe the Akita opening-body tamper accurately Identify the PCS proof body as the mutation target and state that the command requires an Akita build. Keep the separate Stage1 claim mutation documented under the typed tamper command. (cherry picked from commit fe2121ac8503ffe9e5705e51884c0aaa84941bf4) * Assert matching field dot-product lengths in debug builds Check the equal-length contract in the default Field method and the Fp128 override so neither dispatch silently hides a shape mismatch during development. (cherry picked from commit ff6877f7080c2782bae6a21a969c5dbd9a3cc969) * Reject conflicting field accumulator loans in release builds Keep the signed-sum accumulator availability check in optimized guests so an unexpected nested kernel entry fails closed instead of overwriting a live sum. (cherry picked from commit aee7062319b221015a46106f74a15925431f29a1) * Define the setup pin in fresh guest builds * Preserve the lattice test round geometry * Reject malformed recursion input lengths (cherry picked from commit e352ad8585b2a7c4bd31aa34ab1b557f398ba6fa) * Reject nonzero recursion transport padding (cherry picked from commit 94224503199ecd9f0a3b4304944a546ada357614) * Select the field instruction profile for Dory inner proofs (cherry picked from commit 1d37c54a55ae3dbcd90b9d5ce6f73d1bffa5324f) * Acquire lent field accumulators atomically (cherry picked from commit 2acd6a2ec404327203958334266f750c67eab708) * Cover mixed proof batches and Dory tamper rejection (cherry picked from commit 517df4adb9024d30157825680ff1aefdf7b95863) * Derive recursion record limits when building the image (cherry picked from commit a2a5fb2a0e3f75e06bbbd110fc4575f9a6f0c541) * Fix merged Blake2 finalization and field instruction dispatch * Revert "Assert matching field dot-product lengths in debug builds" This reverts commit 4baee14086ae033a6e2ce1fa1ac3f6d22e520c9a. * Pin Akita to main LayerZero-Labs/akita#279 is merged; Akita main 1160b0a8 has the same tree as the previously pinned #279 head. * Regenerate verifier fuzz fixtures and lock for the Akita pin The six verifier fuzz bundles are regenerated from the merged protocol and pass decode and verification in clear and ZK builds. Cargo.lock resolves the Akita main pin. * Apply recorded formatting fixes * Fix imports and lint findings after main merge --------- Co-authored-by: Michael Zhu Co-authored-by: Claude Opus 5.5 Co-authored-by: acentelles --- .github/workflows/rust.yml | 74 + Cargo.lock | 67 +- Cargo.toml | 26 +- book/src/usage/guests_hosts/guests.md | 5 +- common/src/attributes.rs | 8 + crates/jolt-akita/Cargo.toml | 17 +- crates/jolt-akita/src/adapters.rs | 245 +++- crates/jolt-akita/src/lib.rs | 15 +- crates/jolt-akita/src/native_batching.rs | 9 +- crates/jolt-akita/src/one_hot_family.rs | 38 +- crates/jolt-akita/src/prepared.rs | 407 ++++++ crates/jolt-akita/src/scheme.rs | 86 +- crates/jolt-akita/src/verifier_resources.rs | 1 + crates/jolt-akita/src/verifier_setup.rs | 9 +- crates/jolt-akita/tests/prepared_transport.rs | 83 ++ crates/jolt-blindfold/Cargo.toml | 2 +- crates/jolt-blindfold/tests/support/mod.rs | 14 +- crates/jolt-claims-derive/src/lib.rs | 42 +- crates/jolt-claims-derive/src/tests.rs | 2 +- crates/jolt-claims/Cargo.toml | 3 +- crates/jolt-claims/fuzz/Cargo.lock | 1 - crates/jolt-claims/src/claim_data.rs | 76 +- crates/jolt-claims/src/claims.rs | 34 +- crates/jolt-claims/src/lib.rs | 2 +- crates/jolt-claims/src/ops.rs | 36 +- .../src/protocols/composed/relations.rs | 48 +- .../field_inline/geometry/bytecode.rs | 86 +- .../src/protocols/jolt/geometry/booleanity.rs | 13 +- .../src/protocols/jolt/geometry/bytecode.rs | 683 +++++++--- .../claim_reductions/hamming_weight.rs | 37 +- crates/jolt-claims/src/protocols/jolt/ids.rs | 20 +- .../jolt/lattice/relations/digit_zero.rs | 57 +- .../claim_reductions/hamming_weight.rs | 20 +- .../jolt/relations/instruction/read_raf.rs | 28 +- .../jolt/relations/spartan/outer_remainder.rs | 21 +- crates/jolt-claims/src/symbolic.rs | 35 +- .../jolt-claims/src/twist/claim_reductions.rs | 12 +- .../jolt-claims/src/twist/memory_checking.rs | 12 +- crates/jolt-claims/tests/bytecode_fold.rs | 51 +- .../tests/field_inline_read_raf.rs | 65 + crates/jolt-dory/Cargo.toml | 2 +- crates/jolt-field/Cargo.toml | 8 + crates/jolt-field/src/algebra.rs | 85 +- crates/jolt-field/src/bn254/mod.rs | 142 +- crates/jolt-field/src/extension.rs | 87 +- crates/jolt-field/src/field_inline.rs | 654 +++++++++ crates/jolt-field/src/lib.rs | 30 + crates/jolt-field/src/solinas/fp128.rs | 180 ++- crates/jolt-field/src/solinas/mod.rs | 6 +- crates/jolt-host/src/program.rs | 26 +- .../jolt-kernels/src/reference/booleanity.rs | 23 +- .../src/reference/bytecode_read_raf.rs | 31 +- .../hamming_weight_claim_reduction.rs | 7 + crates/jolt-poly/src/mle.rs | 69 +- crates/jolt-riscv/src/row.rs | 34 + .../src/native/compile/emit.rs | 33 + .../src/native/compile/emitter.rs | 36 +- crates/jolt-transcript/Cargo.toml | 3 + crates/jolt-transcript/src/lib.rs | 17 +- crates/jolt-verifier/Cargo.toml | 2 + crates/jolt-verifier/fuzz/Cargo.lock | 1 - .../fuzz/fixtures/advice-consumer-bundle.bin | Bin 171152 -> 185428 bytes .../fuzz/fixtures/committed-muldiv-bundle.bin | Bin 100688 -> 99851 bytes .../fuzz/fixtures/muldiv-bundle.bin | Bin 166609 -> 180587 bytes .../fixtures/zk-advice-consumer-bundle.bin | Bin 173902 -> 188678 bytes .../fixtures/zk-committed-muldiv-bundle.bin | Bin 103323 -> 102988 bytes .../fuzz/fixtures/zk-muldiv-bundle.bin | Bin 169551 -> 184029 bytes crates/jolt-verifier/src/lib.rs | 1 + crates/jolt-verifier/src/preprocessing.rs | 13 +- .../src/stages/stage1/outer_remainder.rs | 151 ++- .../src/stages/stage6a/bytecode_read_raf.rs | 39 +- .../src/stages/stage6b/booleanity.rs | 9 +- .../src/stages/stage6b/bytecode_read_raf.rs | 100 +- .../stage7/hamming_weight_claim_reduction.rs | 15 +- .../src/stages/zk/blindfold/mod.rs | 22 + .../src/stages/zk/blindfold/stage6a.rs | 24 +- .../src/stages/zk/blindfold/stage6b.rs | 9 + .../src/stages/zk/blindfold/stage7.rs | 9 +- .../tests/field_inline_boundary.rs | 12 +- crates/jolt-verifier/tests/guest_runtime.rs | 16 + examples/large-alloc/guest/Cargo.toml | 3 + examples/large-alloc/guest/src/lib.rs | 36 + examples/recursion/Cargo.toml | 28 +- examples/recursion/README.md | 96 +- examples/recursion/guest/.gitignore | 2 + examples/recursion/guest/Cargo.toml | 34 + examples/recursion/guest/build.rs | 17 +- examples/recursion/guest/src/bounded.rs | 323 +++++ examples/recursion/guest/src/kernel_tests.rs | 64 + examples/recursion/guest/src/lib.rs | 195 ++- examples/recursion/guest/src/records.rs | 294 ++++ examples/recursion/src/kernel_cases.rs | 16 + examples/recursion/src/kernel_tests.rs | 105 ++ examples/recursion/src/main.rs | 1194 +++++++++++++---- jolt-eval/fuzz/Cargo.lock | 1 - jolt-inlines/blake2/src/sdk.rs | 498 ++++--- jolt-platform/src/size_class_alloc.rs | 29 +- jolt-sdk/Cargo.toml | 26 +- jolt-sdk/macros/src/lib.rs | 101 +- jolt-sdk/src/host_utils.rs | 23 +- jolt-sdk/src/lib.rs | 27 + jolt-sdk/src/runtime/boot.rs | 27 +- jolt-sdk/src/runtime/mod.rs | 35 + jolt-sdk/src/runtime/trap.rs | 31 + jolt-sdk/tests/verifier_api.rs | 3 +- specs/recursion-guest.md | 331 +++++ src/main.rs | 5 + 107 files changed, 6675 insertions(+), 1255 deletions(-) create mode 100644 crates/jolt-akita/src/prepared.rs create mode 100644 crates/jolt-akita/tests/prepared_transport.rs create mode 100644 crates/jolt-claims/tests/field_inline_read_raf.rs create mode 100644 crates/jolt-field/src/field_inline.rs create mode 100644 examples/recursion/guest/src/bounded.rs create mode 100644 examples/recursion/guest/src/kernel_tests.rs create mode 100644 examples/recursion/guest/src/records.rs create mode 100644 examples/recursion/src/kernel_cases.rs create mode 100644 examples/recursion/src/kernel_tests.rs create mode 100644 specs/recursion-guest.md diff --git a/.github/workflows/rust.yml b/.github/workflows/rust.yml index 557fb42a5d..54fb8ff534 100644 --- a/.github/workflows/rust.yml +++ b/.github/workflows/rust.yml @@ -1047,3 +1047,77 @@ jobs: # lake-package-directory: ./zklean-extractor/jolt-zklean # build: true # test: true + + test-recursion-akita-guest: + runs-on: ubuntu-latest + timeout-minutes: 120 + name: Recursion guest verdicts (Akita, embedded setup) + steps: + - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7 + - uses: actions-rust-lang/setup-rust-toolchain@ecabd13d1c56bd1345c230e542e9144811ad706f # v2 + with: + components: rust-src + cache: false + - uses: Swatinem/rust-cache@6323deb102c322ba6fcbdcafc7e3dddab59af2b6 # v2 + with: + shared-key: release-tests + save-if: false + cache-directories: ~/.cache/dory + - name: Cache ZeroOS musl toolchain + id: cache-zeroos-musl + uses: actions/cache@55cc8345863c7cc4c66a329aec7e433d2d1c52a9 # v6 + with: + path: ~/.zeroos/musl + key: zeroos-musl-toolchain-musl-1.2.3-gcc-9.4.0-Linux-x86_64 + - name: Install ZeroOS musl toolchain + if: steps.cache-zeroos-musl.outputs.cache-hit != 'true' + run: | + curl -fsSL https://github.com/LayerZero-Labs/ZeroOS/releases/download/musl-toolchain-musl-1.2.3-gcc-9.4.0/zeroos-musl-toolchain-musl-1.2.3-gcc-9.4.0-Linux-x86_64.tar.gz -o /tmp/zeroos-musl.tar.gz + mkdir -p ~/.zeroos + tar -xzf /tmp/zeroos-musl.tar.gz -C ~/.zeroos + - name: Build and install jolt CLI + run: cargo install --path . --locked --force --profile ci --target-dir target + - name: Install nextest + uses: taiki-e/install-action@1168f6810a3cb30a3514bf5756a3b7f0422c6df8 # v2 + with: + tool: nextest + - name: Guest parser and setup transport rejection tests + run: | + cargo nextest run --cargo-profile ci -p recursion --features akita,field-inline,ntt-inline + cargo nextest run --cargo-profile ci -p jolt-akita -E 'test(current_setup_encoding_decodes_with_optional_payloads)' + - name: Recursion guest verdicts (embedded setup) + env: + CARGO_BUILD_JOBS: 1 + run: | + cargo build --locked --profile ci -p recursion --features akita,field-inline,ntt-inline + export JOLT_PATH="$(command -v jolt)" + recursion=target/ci/recursion + work="$RUNNER_TEMP/recursion" + "$recursion" check-field-kernels + "$recursion" generate --example fibonacci --workdir "$work/proofs" + "$recursion" check-input-framing --embed --example fibonacci --workdir "$work/proofs" + "$recursion" trace --example fibonacci --workdir "$work/proofs" + for target in sumcheck claim output panic empty; do + "$recursion" tamper --target "$target" --example fibonacci --workdir "$work/proofs" --output "$work/$target" + "$recursion" trace --embed --expect reject --example fibonacci --workdir "$work/$target" + done + "$recursion" generate --example fibonacci --proofs 2 --workdir "$work/two-proofs" + "$recursion" trace --embed --example fibonacci --workdir "$work/two-proofs" + "$recursion" tamper --target claim --proof-index 1 --example fibonacci --workdir "$work/two-proofs" --output "$work/two-proofs-tampered" + "$recursion" trace --embed --expect reject --example fibonacci --workdir "$work/two-proofs-tampered" + "$recursion" tamper-opening --example fibonacci --workdir "$work/proofs" --output "$work/tampered" + "$recursion" trace --embed --expect reject --example fibonacci --workdir "$work/tampered" + "$recursion" generate --example muldiv --workdir "$work/muldiv" + "$recursion" trace --embed --example muldiv --workdir "$work/muldiv" + - name: Embedded muldiv with Dory + env: + CARGO_BUILD_JOBS: 1 + run: | + cargo nextest run --cargo-profile ci -p recursion --features field-inline + cargo build --locked --profile ci -p recursion --features field-inline + export JOLT_PATH="$(command -v jolt)" + target/ci/recursion check-field-kernels + target/ci/recursion generate --example muldiv --workdir "$RUNNER_TEMP/recursion-dory-muldiv" + target/ci/recursion check-input-framing --embed --example muldiv --workdir "$RUNNER_TEMP/recursion-dory-muldiv" + target/ci/recursion tamper --target claim --example muldiv --workdir "$RUNNER_TEMP/recursion-dory-muldiv" --output "$RUNNER_TEMP/recursion-dory-tampered" + target/ci/recursion trace --embed --expect reject --example muldiv --workdir "$RUNNER_TEMP/recursion-dory-tampered" diff --git a/Cargo.lock b/Cargo.lock index 71c620f219..b45fcb17b2 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,11 +93,12 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-error", "akita-serialization", "jolt-field", + "jolt-inlines-ntt", "jolt-poly", "rand_core 0.6.4", "rayon", @@ -107,11 +108,12 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-error", "akita-transcript", "jolt-field", + "jolt-inlines-keccak256", "keccak 0.1.6", "serde", "smallvec", @@ -120,7 +122,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-challenges", "akita-error", @@ -135,7 +137,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-algebra", "akita-challenges", @@ -156,7 +158,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "thiserror 2.0.20", ] @@ -164,7 +166,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-algebra", "akita-challenges", @@ -174,6 +176,7 @@ dependencies = [ "akita-transcript", "blake2 0.11.0", "jolt-field", + "jolt-inlines-blake2", "serde", "sha3 0.12.0", ] @@ -181,7 +184,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-algebra", "akita-challenges", @@ -203,7 +206,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-challenges", "akita-error", @@ -215,7 +218,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-algebra", "akita-challenges", @@ -234,7 +237,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-challenges", "akita-error", @@ -248,7 +251,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "jolt-field", "jolt-poly", @@ -258,7 +261,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-config", "akita-cpu-backend", @@ -273,7 +276,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-algebra", "akita-error", @@ -286,17 +289,18 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-error", "jolt-field", + "jolt-inlines-blake2", "spongefish 0.7.4", ] [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-algebra", "akita-challenges", @@ -315,7 +319,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/LayerZero-Labs/akita.git?rev=f594bfc0d812a9a1fba62f15b51885bd19e83a3d#f594bfc0d812a9a1fba62f15b51885bd19e83a3d" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=1160b0a8d574f7090bf47adfa026658a5099787a#1160b0a8d574f7090bf47adfa026658a5099787a" dependencies = [ "akita-algebra", "akita-challenges", @@ -1748,7 +1752,7 @@ version = "3.1.1" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "faf9468729b8cbcea668e36183cb69d317348c2e08e994829fb56ebfdfbaac34" dependencies = [ - "windows-sys 0.48.0", + "windows-sys 0.61.2", ] [[package]] @@ -2573,7 +2577,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "39cab71617ae0d63f51a36d69f866391735b51691dbda63cf6f96d042b63efeb" dependencies = [ "libc", - "windows-sys 0.52.0", + "windows-sys 0.61.2", ] [[package]] @@ -3310,6 +3314,7 @@ dependencies = [ "jolt-transcript", "rayon", "serde", + "serde_bytes", "serde_json", "tracing", ] @@ -3352,7 +3357,6 @@ dependencies = [ "num-traits", "rand_chacha 0.3.1", "rand_core 0.6.4", - "rayon", "serde", "sha3 0.12.0", "thiserror 2.0.20", @@ -3486,6 +3490,7 @@ dependencies = [ "bytemuck", "cc", "criterion", + "jolt-riscv", "num-bigint 0.4.6", "num-traits", "rand 0.8.7", @@ -4014,6 +4019,7 @@ dependencies = [ "criterion", "getrandom 0.4.3", "jolt-field", + "jolt-inlines-blake2", "light-poseidon", "num-bigint 0.4.6", "sha3 0.12.0", @@ -5674,9 +5680,20 @@ version = "0.1.0" dependencies = [ "bincode 2.0.1", "clap", + "jolt-akita", + "jolt-field", + "jolt-inlines-blake2", + "jolt-inlines-keccak256", + "jolt-inlines-ntt", + "jolt-poly", + "jolt-program", + "jolt-riscv", "jolt-sdk", + "jolt-sumcheck", + "jolt-witness", "postcard", "serde", + "tracer", "tracing", "tracing-subscriber", ] @@ -5686,7 +5703,13 @@ name = "recursion-guest" version = "0.1.0" dependencies = [ "bincode 2.0.1", + "jolt-akita", + "jolt-crypto", + "jolt-field", + "jolt-inlines-blake2", + "jolt-riscv", "jolt-sdk", + "jolt-transcript", "serde", ] @@ -6015,7 +6038,7 @@ dependencies = [ "errno", "libc", "linux-raw-sys", - "windows-sys 0.52.0", + "windows-sys 0.61.2", ] [[package]] @@ -6927,7 +6950,7 @@ dependencies = [ "getrandom 0.4.3", "once_cell", "rustix", - "windows-sys 0.52.0", + "windows-sys 0.61.2", ] [[package]] @@ -7578,7 +7601,7 @@ version = "0.1.11" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "c2a7b1c03c876122aa43f3020e6c3c3ee5c05081c9a00739faf7503aeba10d22" dependencies = [ - "windows-sys 0.48.0", + "windows-sys 0.61.2", ] [[package]] diff --git a/Cargo.toml b/Cargo.toml index 8a1297c88a..53c55ce3f5 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -209,6 +209,9 @@ ark-serialize = { git = "https://github.com/a16z/arkworks-algebra", branch = "de [patch."https://github.com/a16z/jolt"] jolt-field = { path = "crates/jolt-field" } jolt-poly = { path = "crates/jolt-poly" } +jolt-inlines-blake2 = { path = "jolt-inlines/blake2" } +jolt-inlines-ntt = { path = "jolt-inlines/ntt" } +jolt-inlines-keccak256 = { path = "jolt-inlines/keccak256" } [workspace.metadata.cargo-machete] ignored = ["jolt-sdk"] @@ -304,15 +307,15 @@ dory = { package = "dory-pcs", version = "0.4.2", features = [ "disk-persistence", "zk", ] } -akita-algebra = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } -akita-config = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } -akita-error = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } -akita-pcs = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } -akita-planner = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } -akita-schedules = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } -akita-challenges = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } -akita-types = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } -akita-params = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "f594bfc0d812a9a1fba62f15b51885bd19e83a3d", default-features = false } +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "1160b0a8d574f7090bf47adfa026658a5099787a", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } @@ -337,6 +340,9 @@ rand_core = { version = "0.6.4", default-features = false } rand_distr = "0.4.3" # Serialization +serde_bytes = { version = "0.11", default-features = false, features = [ + "alloc", +] } serde = { version = "1.0", default-features = false, features = [ "derive", "rc", @@ -440,7 +446,7 @@ jolt-akita = { path = "./crates/jolt-akita" } jolt-blindfold = { path = "./crates/jolt-blindfold" } jolt-claims = { path = "./crates/jolt-claims" } jolt-claims-derive = { path = "./crates/jolt-claims-derive" } -jolt-crypto = { path = "./crates/jolt-crypto" } +jolt-crypto = { path = "./crates/jolt-crypto", default-features = false } jolt-dory = { path = "./crates/jolt-dory" } jolt-hyperkzg = { path = "./crates/jolt-hyperkzg" } jolt-spartan-verifier = { path = "./crates/jolt-spartan-verifier" } diff --git a/book/src/usage/guests_hosts/guests.md b/book/src/usage/guests_hosts/guests.md index 3e9b5a8af6..e186b971a9 100644 --- a/book/src/usage/guests_hosts/guests.md +++ b/book/src/usage/guests_hosts/guests.md @@ -137,7 +137,7 @@ Beyond the usual Rust rules around `unsafe` and undefined behavior, Jolt guest p - **Prover-supplied advice must be validated by the guest.** `UntrustedAdvice` and `PrivateInput` are supplied by the prover and are not constrained by the proof system itself. The guest is responsible for verifying that any advice it consumes satisfies the properties the program relies on (e.g. that a claimed factor actually divides the input, or that a claimed Merkle path matches a known root). `TrustedAdvice` is only as trustworthy as the commitment the verifier supplies, and the data itself may still require validation. -- **No source of randomness or wall clock.** The guest has no entropy source and no clock. The platform exposes `sys_rand` (see `jolt-platform/src/random.rs`), but it is a **deterministic PRNG seeded with a fixed constant** — its output is fully predictable, including by the verifier — and is not suitable for cryptographic use. Any value that must be unpredictable (nonces, keys, sampling weights) has to be supplied as a public input. Supplying it via advice does *not* solve the problem: advice is chosen by the prover, so a "key" derived from advice is a key the prover picked. +- **No source of randomness or wall clock.** The guest has no entropy source and no clock (see [Time](#time) for what `std::time` returns). The platform exposes `sys_rand` (see `jolt-platform/src/random.rs`), but it is a **deterministic PRNG seeded with a fixed constant** — its output is fully predictable, including by the verifier — and is not suitable for cryptographic use. Any value that must be unpredictable (nonces, keys, sampling weights) has to be supplied as a public input. Supplying it via advice does *not* solve the problem: advice is chosen by the prover, so a "key" derived from advice is a key the prover picked. - **Bytecode is public.** The compiled guest ELF is committed at preprocessing time and is known to the verifier. The `zk` feature protects *inputs*, not the program. Do not embed secrets in guest code — API keys, hardcoded credentials, or proprietary algorithms you do not want disclosed. @@ -172,6 +172,9 @@ fn int_to_string(n: i32) -> String { } ``` +### Time +The zkVM has no clock. In `guest-std` guests the runtime answers `clock_gettime` itself with a zero timestamp, for every clock, so `std::time::Instant::now()` and `SystemTime::now()` succeed instead of aborting, but always return the same value: every `Instant` duration is zero and `SystemTime::now()` is the Unix epoch. Code that only takes timestamps for logging or profiling keeps working. Do not rely on time for timeouts, ordering, or expiry checks; a fixed value is also what keeps execution deterministic, so tracing and proving runs see the same program behavior. + ## alloc Jolt provides an allocator which supports most containers such as `Vec` and `Box`. This is useful for Jolt users who would like to write `no_std` code rather than using Jolt's standard library support. To use these containers, they must be explicitly imported from `alloc`. The `alloc` crate is automatically provided by rust and does not need to be added to the `Cargo.toml` file. diff --git a/common/src/attributes.rs b/common/src/attributes.rs index f66cf84255..99049992b9 100644 --- a/common/src/attributes.rs +++ b/common/src/attributes.rs @@ -10,6 +10,8 @@ pub struct Attributes { pub wasm: bool, pub nightly: bool, pub guest_only: bool, + /// Opt-in guest return expression for decoding errors or nonzero public-input padding. + pub input_error: Option, /// Optional cargo profile name to use for guest builds (e.g. "guest", "release"). pub profile: Option, pub heap_size: u64, @@ -36,6 +38,7 @@ pub fn parse_attributes(attr: &Punctuated) -> Attributes { let mut attributes = HashMap::<_, u64>::new(); let mut wasm = false; let mut guest_only = false; + let mut input_error = None; let mut nightly = false; let mut profile: Option = None; let mut backtrace: Option = None; @@ -43,6 +46,10 @@ pub fn parse_attributes(attr: &Punctuated) -> Attributes { for meta in attr { match meta { Meta::NameValue(MetaNameValue { path, value, .. }) => { + if path.is_ident("input_error") { + input_error = Some(value.clone()); + continue; + } let ident = &path.get_ident().expect("Expected identifier"); let lit = match value { Expr::Lit(ExprLit { lit, .. }) => lit, @@ -123,6 +130,7 @@ pub fn parse_attributes(attr: &Punctuated) -> Attributes { wasm, nightly, guest_only, + input_error, profile, heap_size, stack_size, diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 1769297909..9731ac0ada 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -9,9 +9,19 @@ description = "Akita batch opening adapter for the Jolt zkVM" workspace = true [features] +default = ["parallel"] +# Akita's rayon-backed kernels and backend thread pool. A single-core zkVM +# guest builds without it; Jolt's own prover kernels in this crate still link +# rayon, which a guest verifier never calls. +parallel = ["akita-pcs/parallel"] +# Akita's transcript and NTT kernels over the jolt-inlines Blake2b and NTT +# inlines, for a RISC-V guest verifier. +blake2-inline = ["akita-pcs/blake2-inline"] +ntt-inline = ["akita-pcs/ntt-inline"] +keccak-inline = ["akita-pcs/keccak-inline"] # Enables field-inline schedule coverage alongside the prover's field profile. field-inline = [] -profiling = [] +profiling = ["parallel"] [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped @@ -19,7 +29,9 @@ profiling = [] akita-algebra.workspace = true akita-config.workspace = true akita-error.workspace = true -akita-pcs = { workspace = true, features = ["parallel", "transcript-blake2b"] } +akita-pcs = { workspace = true, default-features = false, features = [ + "transcript-blake2b", +] } akita-challenges.workspace = true akita-planner.workspace = true akita-schedules.workspace = true @@ -42,6 +54,7 @@ jolt-transcript = { path = "../jolt-transcript", default-features = false, featu ] } rayon.workspace = true serde = { workspace = true, features = ["derive"] } +serde_bytes.workspace = true tracing.workspace = true [dev-dependencies] diff --git a/crates/jolt-akita/src/adapters.rs b/crates/jolt-akita/src/adapters.rs index f4b528aa50..ddbb370af9 100644 --- a/crates/jolt-akita/src/adapters.rs +++ b/crates/jolt-akita/src/adapters.rs @@ -1,12 +1,14 @@ use std::{ collections::BTreeMap, - error::Error, fmt, io::{Cursor, Error as IoError, ErrorKind}, sync::Arc, sync::OnceLock, }; +#[cfg(feature = "parallel")] +use std::error::Error; + #[cfg(feature = "profiling")] use std::{cell::Cell, num::NonZeroUsize}; @@ -25,6 +27,7 @@ use jolt_field::{CanonicalBytes, Zero}; use jolt_openings::{OpeningsError, VerifierOpeningClaim}; use jolt_poly::{MultilinearPoly, OneHotIndexOrder, OneHotPolynomial, Polynomial}; use jolt_transcript::{BytesMsg, Encoding, FieldTranscript, Transcript, TAG_BYTES}; +#[cfg(feature = "parallel")] use rayon::{ThreadPool, ThreadPoolBuilder}; use serde::{Deserialize, Serialize}; @@ -33,6 +36,7 @@ use crate::one_hot_family::{ with_one_hot_family, AkitaOneHotBackendScheme, AkitaOneHotBackendVerifier, OneHotFamily, }; pub use crate::one_hot_family::{AKITA_ONE_HOT_K16, AKITA_ONE_HOT_K256}; +use crate::prepared::{PreparedBytes, PreparedVerifier}; use crate::schedule_artifacts::AkitaScheduleArtifacts; use crate::schedule_registry::GroupedScheduleParams; use crate::verifier_resources::PREPARED_VERIFIER_RESOURCES; @@ -63,14 +67,16 @@ pub(crate) type AkitaBackend = CpuBackend; pub(crate) type AkitaBackendProverSetup = BackendProverSetup; pub(crate) type AkitaLayoutDigest = [u8; 32]; -const SCHEDULE_SELECTION_BYTES: usize = 32; +pub(crate) const SCHEDULE_SELECTION_BYTES: usize = 32; /// Worker stack size for [`with_backend_pool`]. Stacks are lazily committed, /// so oversizing costs virtual address space only. +#[cfg(feature = "parallel")] const BACKEND_WORKER_STACK_BYTES: usize = 64 * 1024 * 1024; /// `None` where the platform cannot spawn threads at all (wasm32), the case in /// which rayon itself runs its global pool on the current thread. +#[cfg(feature = "parallel")] #[expect( clippy::panic, reason = "a pool that cannot spawn threads on a threaded platform is an unrecoverable environment failure" @@ -96,6 +102,7 @@ fn build_backend_pool(name: &'static str, num_threads: Option) -> Option< } } +#[cfg(feature = "parallel")] fn backend_pool() -> Option<&'static ThreadPool> { static POOL: OnceLock> = OnceLock::new(); POOL.get_or_init(|| build_backend_pool("jolt-akita", None)) @@ -193,9 +200,12 @@ pub fn host_parallel_verifier_threads() -> usize { /// the Akita prover at trace-scale shapes. Every backend setup/commit/ /// prove/verify entry funnels through this pool. Nested calls reuse it. /// -/// Where the platform cannot spawn threads (wasm32), no dedicated pool can -/// exist: `f` runs on the caller's pool, whose embedder sizes worker stacks. +/// Without `parallel` (a single-core zkVM guest) `f` runs inline. Where the +/// platform cannot spawn threads (wasm32), no dedicated pool can exist: `f` +/// runs on the caller's pool, whose embedder sizes worker stacks. pub(crate) fn with_backend_pool(f: impl FnOnce() -> R + Send) -> R { + #[cfg(not(feature = "parallel"))] + return f(); #[cfg(feature = "profiling")] match PROFILE_BACKEND_POOL.with(Cell::get) { ProfileBackendPool::HostParallel => return host_parallel_verifier_pool().install(f), @@ -204,6 +214,7 @@ pub(crate) fn with_backend_pool(f: impl FnOnce() -> R + Send) -> R { } ProfileBackendPool::Default => {} } + #[cfg(feature = "parallel")] match backend_pool() { Some(pool) => pool.install(f), None => f(), @@ -212,7 +223,12 @@ pub(crate) fn with_backend_pool(f: impl FnOnce() -> R + Send) -> R { /// Regenerable recipe for constructing an Akita setup. /// -/// Its serialized representation is tied to the implementation version. +/// Its bincode representation is tied to the implementation version. The +/// multi-chunk profile and expanded [`AkitaScheduleArtifacts`] make older +/// serialized recipes incompatible; discard those caches and rerun preprocessing +/// with the current code and compatible catalogs. Serde defaults do not provide +/// bincode backward compatibility. [`AkitaVerifierSetup`] is also incompatible +/// with its legacy encoding; see the crate-level wire-compatibility notes. #[derive(Clone, Debug, PartialEq, Eq, Serialize, Deserialize)] #[serde(deny_unknown_fields)] pub struct AkitaSetupParams { @@ -446,6 +462,9 @@ pub struct AkitaVerifierSetup { pub(crate) default_layout_digest: AkitaLayoutDigest, pub(crate) one_hot_k: usize, pub(crate) schedule_artifacts: Arc, + /// Trusted host state for the single schedule row used by a guest. + #[serde(default)] + pub(crate) prepared: Option, #[serde(skip)] pub(crate) backend_cache: BackendVerifierCache, } @@ -455,22 +474,22 @@ pub struct AkitaVerifierSetup { pub(crate) enum AkitaVerifierScheduleArtifacts { Dense { dense_profile: AkitaChunkProfile, - dense: Vec, + dense: PreparedBytes, }, OneHot { profile: AkitaChunkProfile, - one_hot: Vec, + one_hot: PreparedBytes, }, Both { dense_profile: AkitaChunkProfile, profile: AkitaChunkProfile, - dense: Vec, - one_hot: Vec, + dense: PreparedBytes, + one_hot: PreparedBytes, }, } impl AkitaVerifierScheduleArtifacts { - pub(crate) fn dense(&self) -> Option<(AkitaChunkProfile, &[u8])> { + pub(crate) fn dense(&self) -> Option<(AkitaChunkProfile, &PreparedBytes)> { match self { Self::Dense { dense_profile, @@ -485,7 +504,7 @@ impl AkitaVerifierScheduleArtifacts { } } - pub(crate) fn one_hot(&self) -> Option<&[u8]> { + pub(crate) fn one_hot(&self) -> Option<&PreparedBytes> { match self { Self::OneHot { one_hot, .. } | Self::Both { one_hot, .. } => Some(one_hot), Self::Dense { .. } => None, @@ -498,6 +517,24 @@ impl AkitaVerifierScheduleArtifacts { Self::Dense { .. } => AkitaChunkProfile::default(), } } + + pub(crate) fn slots(&mut self) -> Vec<&mut PreparedBytes> { + match self { + Self::Dense { dense, .. } => vec![dense], + Self::OneHot { one_hot, .. } => vec![one_hot], + Self::Both { dense, one_hot, .. } => { + vec![dense, one_hot] + } + } + } +} + +/// Where a flavor's schedule catalog comes from. +enum CatalogSource<'a> { + /// The complete schedule artifact. + Artifact(&'a [u8]), + /// A prepared catalog view carrying only the prepared row. + VerifierView(&'a [u8]), } impl AkitaVerifierSetup { @@ -548,20 +585,67 @@ impl AkitaVerifierSetup { Ok(()) } + /// The prepared state, when this setup prepared `flavor`. + fn prepared_for(&self, flavor: AkitaBackendFlavor) -> Option<&PreparedVerifier> { + self.prepared + .as_ref() + .filter(|prepared| prepared.flavor == flavor) + } + + /// The flavor's catalog: its prepared view when this setup prepared that + /// flavor, else its schedule artifact. + fn catalog_source(&self, flavor: AkitaBackendFlavor) -> Result, String> { + if let Some(prepared) = self.prepared_for(flavor) { + return prepared + .catalog + .bytes() + .map(CatalogSource::VerifierView) + .map_err(|error| error.to_string()); + } + let artifact = match flavor { + AkitaBackendFlavor::Dense => self.schedule_artifacts.dense().map(|(_, bytes)| bytes), + AkitaBackendFlavor::OneHot => self.schedule_artifacts.one_hot(), + }; + artifact + .ok_or_else(|| { + format!( + "Akita verifier setup has no {} schedule artifact", + match flavor { + AkitaBackendFlavor::Dense => "dense", + AkitaBackendFlavor::OneHot => "one_hot", + } + ) + })? + .bytes() + .map(CatalogSource::Artifact) + .map_err(|error| error.to_string()) + } + pub(crate) fn dense_scheme(&self) -> Result<&AkitaBackendScheme, OpeningsError> { let result = self.backend_cache.dense_scheme.get_or_init(|| { - // Identical catalog bytes decode to the identical audited catalog. - if let Some(shared) = PREPARED_VERIFIER_RESOURCES.decoded_dense(self) { - return Ok(shared); + if self.prepared_for(AkitaBackendFlavor::Dense).is_none() { + if let Some(shared) = PREPARED_VERIFIER_RESOURCES.decoded_dense(self) { + return Ok(shared); + } } - self.schedule_artifacts + let (profile, _) = self + .schedule_artifacts .dense() - .ok_or_else(|| "Akita verifier setup has no dense schedule artifact".to_string()) - .and_then(|(profile, bytes)| { + .ok_or_else(|| "Akita verifier setup has no dense schedule artifact".to_string())?; + match self.catalog_source(AkitaBackendFlavor::Dense)? { + CatalogSource::Artifact(bytes) => { AkitaBackendScheme::from_schedule_artifact(bytes, profile.witness_cfg()) - .map(Arc::new) - .map_err(|error| error.to_string()) - }) + } + CatalogSource::VerifierView(view) => { + TrustedScheduleCatalog::::from_verifier_view( + view, + profile.witness_cfg(), + ) + .map(AkitaCommitmentScheme::new) + } + } + .map(Arc::new) + .map_err(|error| error.to_string()) }); result .as_deref() @@ -570,18 +654,23 @@ impl AkitaVerifierSetup { pub(crate) fn one_hot_scheme(&self) -> Result<&AkitaOneHotBackendScheme, OpeningsError> { let result = self.backend_cache.one_hot_scheme.get_or_init(|| { - if let Some(shared) = PREPARED_VERIFIER_RESOURCES.decoded_one_hot(self) { - return Ok(shared); + if self.prepared_for(AkitaBackendFlavor::OneHot).is_none() { + if let Some(shared) = PREPARED_VERIFIER_RESOURCES.decoded_one_hot(self) { + return Ok(shared); + } } - self.schedule_artifacts - .one_hot() - .ok_or_else(|| "Akita verifier setup has no one-hot schedule artifact".to_string()) - .and_then(|bytes| { - OneHotFamily::from_parts(self.one_hot_k, self.akita_chunk_profile()) - .and_then(|family| AkitaOneHotBackendScheme::from_artifact(family, bytes)) - .map(Arc::new) - .map_err(|error| error.to_string()) + let source = self.catalog_source(AkitaBackendFlavor::OneHot)?; + OneHotFamily::from_parts(self.one_hot_k, self.akita_chunk_profile()) + .and_then(|family| match source { + CatalogSource::Artifact(bytes) => { + AkitaOneHotBackendScheme::from_artifact(family, bytes) + } + CatalogSource::VerifierView(view) => { + AkitaOneHotBackendScheme::from_verifier_view(family, view) + } }) + .map(Arc::new) + .map_err(|error| error.to_string()) }); result .as_deref() @@ -613,7 +702,21 @@ impl AkitaVerifierSetup { pub(crate) fn dense_verifier(&self) -> Result<&AkitaVerifier, OpeningsError> { if self.backend_cache.dense.get().is_none() { - PREPARED_VERIFIER_RESOURCES.attach(self)?; + if let Some(prepared) = self.prepared_for(AkitaBackendFlavor::Dense) { + let scheme = self.dense_scheme()?; + let verifier = with_backend_pool(|| { + AkitaVerifier::for_selection( + prepared.backend_key()?, + scheme.schedules().clone(), + prepared.selection(), + Some(prepared.terminal_cache()?), + ) + .map_err(invalid_setup) + })?; + let _ = self.backend_cache.dense.get_or_init(|| Arc::new(verifier)); + } else { + PREPARED_VERIFIER_RESOURCES.attach(self)?; + } } self.backend_cache .dense @@ -622,13 +725,32 @@ impl AkitaVerifierSetup { .ok_or_else(|| invalid_setup("Akita verifier setup has no dense backend")) } + /// One-hot backend verifier; see [`Self::dense_verifier`] for the sources + /// and caching. pub(crate) fn one_hot_verifier(&self) -> Result<&AkitaOneHotBackendVerifier, OpeningsError> { if self.backend_cache.one_hot.get().is_none() { - let log_k = validate_one_hot_k(self.one_hot_k)?; - if self.max_num_vars < log_k { - return Err(invalid_batch("Akita verifier setup has no one-hot backend")); + if let Some(prepared) = self.prepared_for(AkitaBackendFlavor::OneHot) { + let scheme = self.one_hot_scheme()?; + let verifier = with_backend_pool(|| { + scheme + .verifier_for_selection( + prepared.backend_key()?, + prepared.selection(), + prepared.terminal_cache()?, + ) + .map_err(invalid_setup) + })?; + let _ = self + .backend_cache + .one_hot + .get_or_init(|| Arc::new(verifier)); + } else { + let log_k = validate_one_hot_k(self.one_hot_k)?; + if self.max_num_vars < log_k { + return Err(invalid_batch("Akita verifier setup has no one-hot backend")); + } + PREPARED_VERIFIER_RESOURCES.attach(self)?; } - PREPARED_VERIFIER_RESOURCES.attach(self)?; } self.backend_cache .one_hot @@ -636,6 +758,49 @@ impl AkitaVerifierSetup { .map(|verifier| &**verifier) .ok_or_else(|| invalid_setup("Akita verifier setup has no one-hot backend")) } + + /// Re-derive the flavor's backend key from the setup seed. + pub(crate) fn derive_backend_key( + &self, + flavor: AkitaBackendFlavor, + ) -> Result { + match flavor { + AkitaBackendFlavor::Dense => { + let scheme = self.dense_scheme()?; + with_backend_pool(|| { + let prover_setup = + scheme.setup_prover(self.max_num_vars, self.max_total_batch_polys)?; + scheme.setup_verifier(&prover_setup) + }) + .map_err(invalid_setup) + } + AkitaBackendFlavor::OneHot => { + let log_k = validate_one_hot_k(self.one_hot_k)?; + if self.max_num_vars < log_k { + return Err(invalid_batch("Akita verifier setup has no one-hot backend")); + } + let prover_setup = one_hot_setup_prover(self)?; + one_hot_setup_verifier(self, &prover_setup) + } + } + } + + /// The validated catalog that resolves `flavor`'s rows, if this setup + /// serves that flavor. + pub(crate) fn schedule_catalog( + &self, + flavor: AkitaBackendFlavor, + ) -> Result, OpeningsError> { + Ok(match flavor { + AkitaBackendFlavor::Dense if self.schedule_artifacts.dense().is_none() => None, + AkitaBackendFlavor::Dense => Some(self.dense_scheme()?.schedules().catalog()), + AkitaBackendFlavor::OneHot if self.schedule_artifacts.one_hot().is_none() => None, + AkitaBackendFlavor::OneHot => Some(with_one_hot_family!( + scheme self.one_hot_scheme()?, + |scheme| scheme.schedules().catalog() + )), + }) + } } /// Backend verifiers (admitted rows plus their prepared terminal matrices), @@ -777,6 +942,9 @@ pub struct AkitaCommitment { /// Field-coefficient count of the serialized backend commitment — the /// deserialization context [`akita_types::Commitment`] requires. pub(crate) backend_coeff_len: usize, + // `serde_bytes` on byte payloads decodes them as one copy; bincode + // otherwise walks a `Vec` element by element, ~27 guest cycles per byte. + #[serde(with = "serde_bytes")] pub(crate) serialized_backend_bytes: Vec, } @@ -910,6 +1078,7 @@ pub struct AkitaBatchProof { /// prover. The verifier resolves this digest under its configured catalog; /// the backend proof body does not encode the selection itself. pub(crate) schedule_selection: [u8; SCHEDULE_SELECTION_BYTES], + #[serde(with = "serde_bytes")] pub(crate) backend_proof: Vec, } @@ -927,6 +1096,12 @@ impl AkitaBatchProof { } } + /// Identity of the schedule row this proof selected, for + /// [`AkitaVerifierSetup::prepare_verifier`]. + pub fn schedule_row_digest(&self) -> [u8; SCHEDULE_SELECTION_BYTES] { + self.schedule_selection + } + /// Headerless backend proof body: Akita's Spongefish argument bytes. pub fn backend_proof_body_size(&self) -> usize { self.backend_proof.len() diff --git a/crates/jolt-akita/src/lib.rs b/crates/jolt-akita/src/lib.rs index d3679ebe03..1b1b707f68 100644 --- a/crates/jolt-akita/src/lib.rs +++ b/crates/jolt-akita/src/lib.rs @@ -4,6 +4,18 @@ //! `CommitmentScheme` trait plus an adapter delegating same-point batches to //! Akita's native batched opening protocol. +//! +//! # Verifier setup wire compatibility +//! +//! `AkitaVerifierSetup` now encodes catalog and prepared payloads as optional +//! byte strings and includes an optional prepared-verifier record. This breaks +//! older bincode setup encodings, including the legacy single-profile encoding +//! and enclosing verifier preprocessing. Serde defaults do not make positional +//! bincode structs backward compatible. Discard saved setups/preprocessing, +//! rerun preprocessing with compatible catalogs, and rebuild recursion images. +//! This setup encoding has no independent format-version constant; applications +//! persisting it must associate it with the producing implementation revision. + // In the jolt-verifier runtime closure: stricter panic and unsafe discipline // than the workspace lints (specs/verifier-closure-lints.md). #![forbid(unsafe_code)] @@ -25,6 +37,7 @@ pub mod configs; pub mod family_contract; mod native_batching; mod one_hot_family; +mod prepared; mod schedule_artifacts; pub mod schedule_registry; pub mod schedules; @@ -34,7 +47,7 @@ mod trace_onehot; mod verifier_resources; mod verifier_setup; -pub use akita_pcs::AkitaError; +pub use akita_pcs::{AkitaError, TrustedBytes}; #[cfg(feature = "profiling")] #[doc(hidden)] diff --git a/crates/jolt-akita/src/native_batching.rs b/crates/jolt-akita/src/native_batching.rs index 6780f27d96..0018c88c26 100644 --- a/crates/jolt-akita/src/native_batching.rs +++ b/crates/jolt-akita/src/native_batching.rs @@ -779,6 +779,7 @@ mod tests { use crate::adapters::AkitaVerifierScheduleArtifacts; use crate::configs::AkitaChunkProfile; + use crate::prepared::PreparedBytes; fn commitment( backend_flavor: AkitaBackendFlavor, @@ -815,9 +816,10 @@ mod tests { one_hot_k: AKITA_ONE_HOT_K16, schedule_artifacts: AkitaVerifierScheduleArtifacts::OneHot { profile: AkitaChunkProfile::default(), - one_hot: Vec::new(), + one_hot: PreparedBytes::Owned(Vec::new()), } .into(), + prepared: None, backend_cache: Default::default(), }; let mut serialized = serde_json::to_value(setup).unwrap(); @@ -857,10 +859,11 @@ mod tests { schedule_artifacts: AkitaVerifierScheduleArtifacts::Both { dense_profile: AkitaChunkProfile::new(8, 2), profile: AkitaChunkProfile::default(), - dense: Vec::new(), - one_hot: Vec::new(), + dense: PreparedBytes::Owned(Vec::new()), + one_hot: PreparedBytes::Owned(Vec::new()), } .into(), + prepared: None, backend_cache: Default::default(), }; let dense = || commitment(AkitaBackendFlavor::Dense, 14, [7; 32], 0); diff --git a/crates/jolt-akita/src/one_hot_family.rs b/crates/jolt-akita/src/one_hot_family.rs index c469c23d82..3db6143427 100644 --- a/crates/jolt-akita/src/one_hot_family.rs +++ b/crates/jolt-akita/src/one_hot_family.rs @@ -1,5 +1,6 @@ use akita_config::{CommitmentConfig, TrustedScheduleCatalog}; -use akita_pcs::{AkitaCommitmentScheme, AkitaError, AkitaVerifier}; +use akita_params::OpeningScheduleSelection; +use akita_pcs::{AkitaCommitmentScheme, AkitaError, AkitaVerifier, TrustedTerminalCache}; use akita_types::AkitaVerifierSetup; use crate::configs::{AkitaChunkProfile, JoltOneHotK16}; @@ -102,6 +103,22 @@ macro_rules! define_family_types { } } + /// The scheme over a catalog verifier view (see + /// [`crate::AkitaVerifierSetup::prepare_verifier`]). + pub(crate) fn from_verifier_view( + family: OneHotFamily, + view: &[u8], + ) -> Result { + match family.kind { + $(OneHotFamilyKind::$variant => + TrustedScheduleCatalog::<$cfg>::from_verifier_view( + view, family.profile().witness_cfg(), + ) + .map(AkitaCommitmentScheme::new) + .map(Self::$variant)),+ + } + } + pub(crate) fn verifier( &self, setup: AkitaVerifierSetup<::Field>, @@ -111,6 +128,25 @@ macro_rules! define_family_types { .map(AkitaOneHotBackendVerifier::$variant)),+ } } + + /// The verifier for one prepared schedule row, over a trusted key + /// and terminal NTT cache. + pub(crate) fn verifier_for_selection( + &self, + setup: AkitaVerifierSetup<::Field>, + selection: OpeningScheduleSelection, + terminal_cache: TrustedTerminalCache<'_>, + ) -> Result { + match self { + $(Self::$variant(scheme) => AkitaVerifier::for_selection( + setup, + scheme.schedules().clone(), + selection, + Some(terminal_cache), + ) + .map(AkitaOneHotBackendVerifier::$variant)),+ + } + } } }; } diff --git a/crates/jolt-akita/src/prepared.rs b/crates/jolt-akita/src/prepared.rs new file mode 100644 index 0000000000..75fddba8e2 --- /dev/null +++ b/crates/jolt-akita/src/prepared.rs @@ -0,0 +1,407 @@ +//! Verifier state a trusted host prepares for one schedule row. +//! +//! An ordinary [`AkitaVerifierSetup`] carries shapes and JSON catalogs and +//! re-derives the backend key from the setup seed on first use. A verifier +//! running as a zkVM guest cannot afford that: seed expansion, catalog +//! parsing, and the terminal matrix NTT would dominate its cycles. A +//! [`PreparedVerifier`] carries their results for the single row a proof +//! selected. +//! +//! The payloads are trusted setup data, not proof data. The backend key is +//! taken as seed-derived without re-deriving it, and an attached terminal NTT +//! cache's residues are used without a range pass. The catalog view repeats +//! the catalog's semantic audit and reproduces the complete catalog digest +//! the transcript binds. Callers must bind the payload bytes to the verifier +//! program identity, for example by embedding them in the guest image. + +use std::sync::Arc; + +use akita_params::{OpeningScheduleSelection, ScheduleRowDigest}; +use akita_pcs::{ + build_riscv64_terminal_ntt_cache, AkitaDeserialize, AkitaSerialize, Compress, TrustedBytes, + TrustedTerminalCache, Validate, +}; +use akita_types::AkitaExpandedSetup; +use jolt_openings::OpeningsError; +use serde::{Deserialize, Deserializer, Serialize, Serializer}; +use serde_bytes::{ByteBuf, Bytes}; + +use crate::adapters::{ + invalid_setup, AkitaBackendFlavor, AkitaBackendVerifierSetup, AkitaField, AkitaVerifierSetup, + SCHEDULE_SELECTION_BYTES, +}; + +/// One payload's bytes. +/// +/// A host owns the bytes it prepared. For transport it may detach them into an +/// out-of-line body ([`AkitaVerifierSetup::detach_prepared_payloads`]); a +/// guest then attaches that body in place for the program's lifetime +/// ([`AkitaVerifierSetup::attach_prepared_payloads`]), so multi-megabyte +/// payloads are never copied out of the setup record. +/// +/// Serialized as an optional byte string, absent when detached. Bincode would +/// otherwise decode a `Vec` element by element, at roughly 27 guest cycles +/// per byte. +/// +/// The backend key and terminal cache are used unchecked, so they are taken +/// only from payloads this process prepared or a guest attached. Inline copies +/// decoded with a setup record are refused there: anyone who can edit a setup +/// file could otherwise substitute a key matrix that is not seed-derived. They +/// can still be detached for a guest whose image or statement binds the +/// bodies. Catalog payloads are audited on load, so any copy serves. +#[derive(Clone, Debug)] +pub(crate) enum PreparedBytes { + Owned(Vec), + Decoded(Vec), + Detached, + Attached(TrustedBytes), +} + +/// Equal payloads compare equal whatever their provenance, so a setup equals +/// its own serde round trip (which decodes `Owned` payloads as `Decoded`). +impl PartialEq for PreparedBytes { + fn eq(&self, other: &Self) -> bool { + match (self, other) { + (Self::Detached, Self::Detached) => true, + (Self::Detached, _) | (_, Self::Detached) => false, + _ => self.bytes().ok() == other.bytes().ok(), + } + } +} + +impl Eq for PreparedBytes {} + +impl PreparedBytes { + /// The payload bytes, or an error for a body that was never attached. + pub(crate) fn bytes(&self) -> Result<&[u8], OpeningsError> { + match self { + Self::Owned(bytes) | Self::Decoded(bytes) => Ok(bytes), + Self::Attached(bytes) => Ok(bytes.bytes()), + Self::Detached => Err(invalid_setup( + "prepared payload was detached and not attached", + )), + } + } + + /// The bytes of a payload used without checks: refuses an inline copy + /// decoded from a setup record. + fn trusted_bytes(&self) -> Result<&[u8], OpeningsError> { + match self { + Self::Decoded(_) => Err(invalid_setup( + "an unchecked prepared payload decoded from a setup record is not used; \ + detach it and attach the body", + )), + Self::Owned(_) | Self::Detached | Self::Attached(_) => self.bytes(), + } + } + + /// Move the bytes into a detached body. + /// + /// A body is self-aligning: its first byte is a skew `s` in `1..=8` and the + /// payload starts at offset `s`, chosen so that, with the body on an + /// 8-byte address, payload offset `aligned_offset` is 8-byte aligned. + fn detach(&mut self, aligned_offset: usize) -> Result, OpeningsError> { + let skew = 8 - aligned_offset % 8; + let payload = self.bytes()?; + let mut body = Vec::with_capacity(skew + payload.len()); + body.push(u8::try_from(skew).map_err(invalid_setup)?); + body.resize(skew, 0); + body.extend_from_slice(payload); + *self = Self::Detached; + Ok(body) + } + + fn attach(body: TrustedBytes) -> Result { + let skew = usize::from( + *body + .bytes() + .first() + .ok_or_else(|| invalid_setup("empty prepared payload body"))?, + ); + if !(1..=8).contains(&skew) { + return Err(invalid_setup("malformed prepared payload body skew")); + } + let payload = body + .skip(skew) + .ok_or_else(|| invalid_setup("truncated prepared payload body"))?; + Ok(Self::Attached(payload)) + } +} + +impl From> for PreparedBytes { + fn from(bytes: Vec) -> Self { + Self::Owned(bytes) + } +} + +impl Serialize for PreparedBytes { + fn serialize(&self, serializer: S) -> Result { + match self { + Self::Owned(bytes) | Self::Decoded(bytes) => { + Some(Bytes::new(bytes)).serialize(serializer) + } + Self::Attached(bytes) => Some(Bytes::new(bytes.bytes())).serialize(serializer), + Self::Detached => None::<&Bytes>.serialize(serializer), + } + } +} + +impl<'de> Deserialize<'de> for PreparedBytes { + fn deserialize>(deserializer: D) -> Result { + Ok(Option::::deserialize(deserializer)? + .map_or(Self::Detached, |bytes| Self::Decoded(bytes.into_vec()))) + } +} + +/// Backend verifier state for the schedule row `row_digest` of one flavor. +#[derive(Clone, Debug, PartialEq, Eq, Serialize, Deserialize)] +#[serde(deny_unknown_fields)] +pub(crate) struct PreparedVerifier { + pub(crate) flavor: AkitaBackendFlavor, + pub(crate) row_digest: [u8; SCHEDULE_SELECTION_BYTES], + /// The backend verifier key (public matrix and prefix registry), + /// serialized uncompressed. + pub(crate) key: PreparedBytes, + /// A catalog verifier view carrying only `row_digest`'s parameters. + pub(crate) catalog: PreparedBytes, + /// The scalar Q128 terminal matrix artifact for `row_digest`. + pub(crate) terminal_ntt: PreparedBytes, +} + +impl PreparedVerifier { + pub(crate) fn selection(&self) -> OpeningScheduleSelection { + OpeningScheduleSelection { + row_digest: ScheduleRowDigest::from_bytes(self.row_digest), + } + } + + /// The backend key: viewed in place when attached, else decoded without + /// re-deriving the matrix from the seed. + pub(crate) fn backend_key(&self) -> Result { + match &self.key { + PreparedBytes::Attached(bytes) => { + AkitaBackendVerifierSetup::borrow_trusted(*bytes).map_err(invalid_setup) + } + key @ (PreparedBytes::Owned(_) + | PreparedBytes::Decoded(_) + | PreparedBytes::Detached) => AkitaBackendVerifierSetup::deserialize_with_mode( + key.trusted_bytes()?, + Compress::No, + Validate::No, + &(), + ) + .map_err(invalid_setup), + } + } + + pub(crate) fn terminal_cache(&self) -> Result, OpeningsError> { + Ok(match &self.terminal_ntt { + PreparedBytes::Attached(bytes) => TrustedTerminalCache::View(bytes.bytes()), + artifact @ (PreparedBytes::Owned(_) + | PreparedBytes::Decoded(_) + | PreparedBytes::Detached) => TrustedTerminalCache::Decode(artifact.trusted_bytes()?), + }) + } +} + +impl AkitaVerifierSetup { + /// Prepare the backend verifier for the schedule row a proof selected + /// ([`crate::AkitaBatchProof::schedule_row_digest`]) and carry it in the + /// setup: the expanded key, a catalog view of that row, and its terminal + /// matrix NTT. The setup then verifies only proofs for that row of its + /// flavor. + /// + /// # Errors + /// + /// Returns an error when no catalog of this setup contains the row, or + /// building or encoding a payload fails. + pub fn prepare_verifier( + &mut self, + row_digest: [u8; SCHEDULE_SELECTION_BYTES], + ) -> Result<(), OpeningsError> { + let selection = OpeningScheduleSelection { + row_digest: ScheduleRowDigest::from_bytes(row_digest), + }; + let mut found = None; + for flavor in [AkitaBackendFlavor::Dense, AkitaBackendFlavor::OneHot] { + let Some(catalog) = self.schedule_catalog(flavor)? else { + continue; + }; + if let Ok(row) = catalog.resolve_selection(selection) { + let view = catalog + .to_verifier_view(&[selection]) + .map_err(invalid_setup)?; + found = Some((flavor, row.schedule().clone(), view)); + break; + } + } + let (flavor, schedule, catalog) = + found.ok_or_else(|| invalid_setup("no catalog of this setup contains the row"))?; + let key = self.derive_backend_key(flavor)?; + let terminal_ntt = build_riscv64_terminal_ntt_cache(&key, &schedule, selection.row_digest) + .map_err(invalid_setup)?; + let mut key_bytes = Vec::with_capacity(key.serialized_size(Compress::No)); + key.serialize_with_mode(&mut key_bytes, Compress::No) + .map_err(invalid_setup)?; + self.prepared = Some(PreparedVerifier { + flavor, + row_digest, + key: PreparedBytes::Owned(key_bytes), + catalog: PreparedBytes::Owned(catalog), + terminal_ntt: PreparedBytes::Owned(terminal_ntt), + }); + self.backend_cache = Default::default(); + Ok(()) + } + + /// Move every payload out of the setup into out-of-line bodies, in the + /// order [`Self::attach_prepared_payloads`] expects them back: the schedule + /// artifacts, then the prepared key, catalog view, and terminal NTT cache. + /// + /// # Errors + /// + /// Returns an error when a payload is already detached or the key header + /// cannot be parsed. + pub fn detach_prepared_payloads(&mut self) -> Result>, OpeningsError> { + // Check every payload before moving any, so an error leaves the setup + // as it was. + for slot in Arc::make_mut(&mut self.schedule_artifacts).slots() { + let _ = slot.bytes()?; + } + // Aligning the key's coefficients lets the guest view them in place. + let key_offset = match &self.prepared { + Some(prepared) => { + let _ = prepared.catalog.bytes()?; + let _ = prepared.terminal_ntt.bytes()?; + Some( + AkitaExpandedSetup::::coefficient_offset(prepared.key.bytes()?) + .map_err(invalid_setup)?, + ) + } + None => None, + }; + let mut bodies = Vec::new(); + for slot in Arc::make_mut(&mut self.schedule_artifacts).slots() { + bodies.push(slot.detach(0)?); + } + if let (Some(prepared), Some(offset)) = (&mut self.prepared, key_offset) { + bodies.push(prepared.key.detach(offset)?); + bodies.push(prepared.catalog.detach(0)?); + bodies.push(prepared.terminal_ntt.detach(0)?); + } + Ok(bodies) + } + + /// Attach detached payload bodies in place for the program's lifetime. + /// + /// Each body is a [`TrustedBytes`] token: its creator vouched that it is + /// a body [`Self::detach_prepared_payloads`] returned on a host that + /// prepared this setup, since the backend key is viewed in place as + /// canonical field words without a range check. + /// + /// # Errors + /// + /// Returns an error when the body count does not match the detached + /// payloads or a body is malformed. + pub fn attach_prepared_payloads( + &mut self, + bodies: &[TrustedBytes], + ) -> Result<(), OpeningsError> { + let mut bodies = bodies.iter(); + let slots = Arc::make_mut(&mut self.schedule_artifacts) + .slots() + .into_iter() + .chain(self.prepared.iter_mut().flat_map(|prepared| { + [ + &mut prepared.key, + &mut prepared.catalog, + &mut prepared.terminal_ntt, + ] + })); + for slot in slots.filter(|slot| matches!(slot, PreparedBytes::Detached)) { + let body = bodies.next().ok_or_else(|| { + invalid_setup("fewer prepared payload bodies than detached slots") + })?; + *slot = PreparedBytes::attach(*body)?; + } + if bodies.next().is_some() { + return Err(invalid_setup( + "more prepared payload bodies than detached slots", + )); + } + self.backend_cache = Default::default(); + Ok(()) + } +} + +#[cfg(test)] +mod wire_tests { + #![expect( + clippy::unwrap_used, + clippy::indexing_slicing, + reason = "wire fixtures assert decoding and exact byte boundaries" + )] + use super::*; + use crate::adapters::AkitaVerifierScheduleArtifacts; + use crate::AkitaChunkProfile; + + #[test] + fn current_setup_encoding_decodes_with_optional_payloads() { + // Frozen transport fixture: small dimensions, digest [3; 32], K16, + // OneHot catalog Some(b"abc"), no prepared verifier. Catalog validity + // is checked by the backend separately from this wire-format contract. + const BYTES: &[u8] = &[ + 2, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, + 3, 3, 3, 3, 3, 3, 16, 1, 1, 0, 1, 3, 97, 98, 99, 0, + ]; + let config = bincode::config::standard(); + let (setup, consumed): (AkitaVerifierSetup, _) = + bincode::serde::decode_from_slice(BYTES, config).unwrap(); + let mut expected = AkitaVerifierSetup { + max_num_vars: 2, + max_num_polys_per_commitment_group: 1, + max_total_batch_polys: 1, + default_layout_digest: [3; 32], + one_hot_k: 16, + schedule_artifacts: AkitaVerifierScheduleArtifacts::OneHot { + profile: AkitaChunkProfile::new(1, 0), + one_hot: PreparedBytes::Decoded(b"abc".to_vec()), + } + .into(), + prepared: None, + backend_cache: Default::default(), + }; + assert_eq!(consumed, BYTES.len()); + assert_eq!(setup, expected); + assert_eq!( + bincode::serde::encode_to_vec(&setup, config).unwrap(), + BYTES + ); + assert!(bincode::serde::decode_from_slice::( + &BYTES[..BYTES.len() - 1], + config + ) + .is_err()); + + let mut prepared_bytes = BYTES[..BYTES.len() - 1].to_vec(); + prepared_bytes.extend_from_slice(&[1, 1]); // Some, OneHot + prepared_bytes.extend_from_slice(&[4; 32]); + prepared_bytes.extend_from_slice(&[0, 1, 1, 9, 0]); // None, Some([9]), None + expected.prepared = Some(PreparedVerifier { + flavor: AkitaBackendFlavor::OneHot, + row_digest: [4; 32], + key: PreparedBytes::Detached, + catalog: PreparedBytes::Decoded(vec![9]), + terminal_ntt: PreparedBytes::Detached, + }); + let (setup, consumed): (AkitaVerifierSetup, _) = + bincode::serde::decode_from_slice(&prepared_bytes, config).unwrap(); + assert_eq!(consumed, prepared_bytes.len()); + assert_eq!(setup, expected); + assert_eq!( + bincode::serde::encode_to_vec(&setup, config).unwrap(), + prepared_bytes + ); + assert!(setup.prepared.unwrap().catalog.trusted_bytes().is_err()); + } +} diff --git a/crates/jolt-akita/src/scheme.rs b/crates/jolt-akita/src/scheme.rs index aec614880f..96ef3f2464 100644 --- a/crates/jolt-akita/src/scheme.rs +++ b/crates/jolt-akita/src/scheme.rs @@ -868,14 +868,17 @@ mod tests { .dense_catalog() .unwrap() .to_artifact_bytes() - .unwrap(), + .unwrap() + .into(), one_hot: artifacts .one_hot_catalog(AKITA_ONE_HOT_K256) .unwrap() .to_artifact_bytes() - .unwrap(), + .unwrap() + .into(), } .into(), + prepared: None, backend_cache: Default::default(), }; // The next squeeze after binding `setup` under `flavor`: equal for @@ -1305,6 +1308,85 @@ mod tests { .unwrap(); } + #[test] + fn prepared_verifier_verifies_the_selected_row_after_transport() { + let artifacts = + AkitaScheduleArtifacts::shared_from_default_directory(AkitaChunkProfile::new(8, 2)); + let (prover_setup, verifier_setup) = AkitaScheme::setup(AkitaSetupParams::dense_only( + 14, + 1, + [7; 32], + Arc::clone(&artifacts), + )) + .unwrap(); + let polynomial = Polynomial::new( + (0..(1u64 << 14)) + .map(|i| AkitaField::from_u64(3 + 7 * i)) + .collect(), + ); + let (commitment, hint) = AkitaScheme::commit(&polynomial, &prover_setup).unwrap(); + let point = (5..19).map(AkitaField::from_u64).collect::>(); + let value = polynomial.evaluate(&point); + let statement = vec![VerifierOpeningClaim { + commitment, + evaluation: EvaluationClaim::new(point, value), + }]; + let mut prover_transcript = jolt_transcript::prover_transcript::( + &jolt_transcript::protocol_tag(b"prepared"), + b"", + ); + let proof = ::prove_batch( + &prover_setup, + statement.clone(), + vec![&polynomial], + hint, + &mut prover_transcript, + ) + .unwrap(); + + let mut prepared = verifier_setup.clone(); + assert!(prepared.prepare_verifier([0; 32]).is_err()); + prepared + .prepare_verifier(proof.schedule_row_digest()) + .unwrap(); + let full_digest = verifier_setup + .dense_scheme() + .unwrap() + .schedules() + .catalog_digest(); + let encoded = + bincode::serde::encode_to_vec(&prepared, bincode::config::standard()).unwrap(); + let (mut transported, _): (AkitaVerifierSetup, _) = + bincode::serde::decode_from_slice(&encoded, bincode::config::standard()).unwrap(); + let verify = |setup: &AkitaVerifierSetup| { + let mut transcript = jolt_transcript::prover_transcript::( + &jolt_transcript::protocol_tag(b"prepared"), + b"", + ); + ::verify_batch( + setup, + &statement, + &proof, + &mut transcript, + ) + }; + // The view keeps the complete catalog's transcript identity. + for setup in [&prepared, &transported] { + assert_eq!( + setup.dense_scheme().unwrap().schedules().catalog_digest(), + full_digest + ); + } + verify(&prepared).unwrap(); + // A decoded record's inline key is never used unchecked. + assert!(verify(&transported).is_err()); + + // Detached bodies serve again only once attached in place + // (`tests/prepared_transport.rs`). + let _ = transported.detach_prepared_payloads().unwrap(); + assert!(verify(&transported).is_err()); + } + #[test] fn direct_opening_requires_statement_commitment_layout_digest() { let artifacts = diff --git a/crates/jolt-akita/src/verifier_resources.rs b/crates/jolt-akita/src/verifier_resources.rs index ed1686c979..9637b07208 100644 --- a/crates/jolt-akita/src/verifier_resources.rs +++ b/crates/jolt-akita/src/verifier_resources.rs @@ -319,6 +319,7 @@ pub(crate) static PREPARED_VERIFIER_RESOURCES: PreparedRegistry = PreparedRegist impl AkitaVerifierSetup { pub(crate) fn same_catalog(&self, other: &Self) -> bool { self.one_hot_k == other.one_hot_k + && self.prepared == other.prepared && (Arc::ptr_eq(&self.schedule_artifacts, &other.schedule_artifacts) || self.schedule_artifacts == other.schedule_artifacts) } diff --git a/crates/jolt-akita/src/verifier_setup.rs b/crates/jolt-akita/src/verifier_setup.rs index 45b317fefc..58775308bc 100644 --- a/crates/jolt-akita/src/verifier_setup.rs +++ b/crates/jolt-akita/src/verifier_setup.rs @@ -79,16 +79,16 @@ impl AkitaScheme { AkitaSetupFlavor::Both => AkitaVerifierScheduleArtifacts::Both { dense_profile: artifacts.dense_profile(), profile, - dense: dense_schedule_artifact()?, - one_hot: one_hot_schedule_artifact()?, + dense: dense_schedule_artifact()?.into(), + one_hot: one_hot_schedule_artifact()?.into(), }, AkitaSetupFlavor::OneHot => AkitaVerifierScheduleArtifacts::OneHot { profile, - one_hot: one_hot_schedule_artifact()?, + one_hot: one_hot_schedule_artifact()?.into(), }, AkitaSetupFlavor::Dense => AkitaVerifierScheduleArtifacts::Dense { dense_profile: artifacts.dense_profile(), - dense: dense_schedule_artifact()?, + dense: dense_schedule_artifact()?.into(), }, }; Ok(AkitaVerifierSetup { @@ -98,6 +98,7 @@ impl AkitaScheme { default_layout_digest: params.default_layout_digest, one_hot_k: params.one_hot_k, schedule_artifacts: schedule_artifacts.into(), + prepared: None, backend_cache: BackendVerifierCache::default(), }) } diff --git a/crates/jolt-akita/tests/prepared_transport.rs b/crates/jolt-akita/tests/prepared_transport.rs new file mode 100644 index 0000000000..afa678e743 --- /dev/null +++ b/crates/jolt-akita/tests/prepared_transport.rs @@ -0,0 +1,83 @@ +//! A prepared verifier setup survives transport the way a guest receives it: +//! payloads detached from the record and attached back in place. +#![expect(clippy::unwrap_used, reason = "tests unwrap successful PCS operations")] + +use std::sync::Arc; + +use jolt_akita::{ + AkitaChunkProfile, AkitaField, AkitaNativeBatching, AkitaScheduleArtifacts, AkitaScheme, + AkitaSetupParams, AkitaVerifierSetup, TrustedBytes, +}; +use jolt_field::Ring; +use jolt_openings::{BatchOpeningScheme, CommitmentScheme, EvaluationClaim, VerifierOpeningClaim}; +use jolt_poly::Polynomial; +use jolt_transcript::Blake2b512; + +#[test] +fn detached_payloads_verify_once_attached_in_place() { + let artifacts = + AkitaScheduleArtifacts::shared_from_default_directory(AkitaChunkProfile::new(8, 2)); + let (prover_setup, verifier_setup) = AkitaScheme::setup(AkitaSetupParams::dense_only( + 14, + 1, + [7; 32], + Arc::clone(&artifacts), + )) + .unwrap(); + let polynomial = Polynomial::new( + (0..(1u64 << 14)) + .map(|i| AkitaField::from_u64(3 + 7 * i)) + .collect(), + ); + let (commitment, hint) = AkitaScheme::commit(&polynomial, &prover_setup).unwrap(); + let point = (5..19).map(AkitaField::from_u64).collect::>(); + let value = polynomial.evaluate(&point); + let statement = vec![VerifierOpeningClaim { + commitment, + evaluation: EvaluationClaim::new(point, value), + }]; + let mut prover_transcript = jolt_transcript::prover_transcript::( + &jolt_transcript::protocol_tag(b"prepared"), + b"", + ); + let proof = ::prove_batch( + &prover_setup, + statement.clone(), + vec![&polynomial], + hint, + &mut prover_transcript, + ) + .unwrap(); + + let mut prepared = verifier_setup; + prepared + .prepare_verifier(proof.schedule_row_digest()) + .unwrap(); + let config = bincode::config::standard(); + let encoded = bincode::serde::encode_to_vec(&prepared, config).unwrap(); + let (mut transported, _): (AkitaVerifierSetup, _) = + bincode::serde::decode_from_slice(&encoded, config).unwrap(); + let bodies = transported.detach_prepared_payloads().unwrap(); + let bodies: Vec = bodies + .into_iter() + // SAFETY: the bodies are this test's own detached payloads. + .map(|body| unsafe { TrustedBytes::new(Box::leak(body.into_boxed_slice())) }) + .collect(); + + assert!(transported + .clone() + .attach_prepared_payloads(&bodies[1..]) + .is_err()); + transported.attach_prepared_payloads(&bodies).unwrap(); + let mut transcript = jolt_transcript::prover_transcript::( + &jolt_transcript::protocol_tag(b"prepared"), + b"", + ); + ::verify_batch( + &transported, + &statement, + &proof, + &mut transcript, + ) + .unwrap(); +} diff --git a/crates/jolt-blindfold/Cargo.toml b/crates/jolt-blindfold/Cargo.toml index abee9aa7cb..4d3ba0082f 100644 --- a/crates/jolt-blindfold/Cargo.toml +++ b/crates/jolt-blindfold/Cargo.toml @@ -19,7 +19,7 @@ workspace = true [dependencies] jolt-claims.workspace = true -jolt-crypto.workspace = true +jolt-crypto = { workspace = true, features = ["bn254"] } jolt-field.workspace = true jolt-poly.workspace = true jolt-r1cs.workspace = true diff --git a/crates/jolt-blindfold/tests/support/mod.rs b/crates/jolt-blindfold/tests/support/mod.rs index 3bea0cdd23..7560b65dd3 100644 --- a/crates/jolt-blindfold/tests/support/mod.rs +++ b/crates/jolt-blindfold/tests/support/mod.rs @@ -202,13 +202,20 @@ pub fn assert_empirical_distribution(projection: &StatisticalProjection) { assert_runs_around_median(projection); } +/// Four standard deviations of the sample correlation of `n` independent +/// pairs, about `1/sqrt(n)` each: a fixed 0.25 bound is under 3 sigma at 128 +/// samples and fails for ordinary seeds. +fn correlation_bound(n: usize) -> f64 { + 4.0 / (n as f64).sqrt() +} + pub fn assert_empirical_pairwise_independence( lhs: &StatisticalProjection, rhs: &StatisticalProjection, ) { let correlation = pearson_correlation(&lhs.values, &rhs.values); assert!( - correlation.abs() < 0.25, + correlation.abs() < correlation_bound(lhs.values.len()), "{} and {} have suspicious pairwise correlation: {correlation}", lhs.label, rhs.label @@ -272,9 +279,10 @@ fn assert_lag_one_correlation(projection: &StatisticalProjection) { &projection.values[..projection.values.len() - 1], &projection.values[1..], ); + let bound = correlation_bound(projection.values.len() - 1); assert!( - correlation.abs() < 0.25, - "{} has suspicious lag-one correlation: {correlation}", + correlation.abs() < bound, + "{} has suspicious lag-one correlation: {correlation} (bound {bound})", projection.label ); } diff --git a/crates/jolt-claims-derive/src/lib.rs b/crates/jolt-claims-derive/src/lib.rs index 831c557caf..a7eecb68dc 100644 --- a/crates/jolt-claims-derive/src/lib.rs +++ b/crates/jolt-claims-derive/src/lib.rs @@ -148,6 +148,7 @@ pub fn derive_sumcheck_challenges(input: TokenStream) -> TokenStream { /// derives stay a single implementation instantiated per namespace. struct Namespace { opening_id: TokenStream2, + polynomial_id: TokenStream2, relation_id: TokenStream2, virtual_polynomial: TokenStream2, committed_polynomial: TokenStream2, @@ -160,6 +161,7 @@ impl Namespace { let module = quote!(::jolt_claims::protocols::jolt); Self { opening_id: quote!(#module::JoltOpeningId), + polynomial_id: quote!(#module::JoltPolynomialId), relation_id: quote!(#module::JoltRelationId), virtual_polynomial: quote!(#module::JoltVirtualPolynomial), committed_polynomial: quote!(#module::JoltCommittedPolynomial), @@ -172,6 +174,7 @@ impl Namespace { let module = quote!(::jolt_claims::protocols::field_inline); Self { opening_id: quote!(#module::FieldInlineOpeningId), + polynomial_id: quote!(#module::FieldInlinePolynomialId), relation_id: quote!(#module::FieldInlineRelationId), virtual_polynomial: quote!(#module::FieldInlineVirtualPolynomial), committed_polynomial: quote!(#module::FieldInlineCommittedPolynomial), @@ -451,6 +454,7 @@ fn id_expr( index: Option, ) -> TokenStream2 { let opening_id = &ns.opening_id; + let polynomial_id = &ns.polynomial_id; let relation_id = &ns.relation_id; let virtual_polynomial = &ns.virtual_polynomial; let committed_polynomial = &ns.committed_polynomial; @@ -467,7 +471,7 @@ fn id_expr( (None, Some(payload)) => quote!(#virtual_polynomial::#variant(#payload)), (None, None) => quote!(#virtual_polynomial::#variant), }; - quote!(#opening_id::virtual_polynomial(#polynomial, #rel)) + quote!(#opening_id::Polynomial { polynomial: #polynomial_id::Virtual(#polynomial), relation: #rel }) } LeafKind::Committed(variant) => { let polynomial = if let Some(index) = index { @@ -475,10 +479,10 @@ fn id_expr( } else { quote!(#committed_polynomial::#variant) }; - quote!(#opening_id::committed(#polynomial, #rel)) + quote!(#opening_id::Polynomial { polynomial: #polynomial_id::Committed(#polynomial), relation: #rel }) } - LeafKind::TrustedAdvice => quote!(#opening_id::trusted_advice(#rel)), - LeafKind::UntrustedAdvice => quote!(#opening_id::untrusted_advice(#rel)), + LeafKind::TrustedAdvice => quote!(#opening_id::TrustedAdvice { relation: #rel }), + LeafKind::UntrustedAdvice => quote!(#opening_id::UntrustedAdvice { relation: #rel }), } } @@ -499,6 +503,7 @@ fn expand_output(input: DeriveInput) -> Result { // `OutputClaims::opening_values` reconstructs the values from this order via // `resolve_output`, so the canonical order is single-sourced here. let mut order_chains = Vec::new(); + let mut value_chains = Vec::new(); let mut resolve_arms = Vec::new(); let mut construct_fields = Vec::new(); @@ -513,9 +518,10 @@ fn expand_output(input: DeriveInput) -> Result { if *is_many { let id = id_expr(&namespace, kind, relation, Some(quote!(index))); order_chains.push(quote!(.chain(self.#ident.iter().enumerate().map(|(index, _)| #id)))); + value_chains.push(quote!(.chain(self.#ident.iter().copied()))); resolve_arms.push(quote! { - for (index, __value) in self.#ident.iter().enumerate() { - if *id == #id { + if let #id = *id { + if let ::core::option::Option::Some(__value) = self.#ident.get(index) { return ::core::option::Option::Some(*__value); } } @@ -534,9 +540,10 @@ fn expand_output(input: DeriveInput) -> Result { } else if *is_option { let id = id_expr(&namespace, kind, relation, None); order_chains.push(quote!(.chain(self.#ident.as_ref().map(|_| #id)))); + value_chains.push(quote!(.chain(self.#ident.iter().copied()))); resolve_arms.push(quote! { if let ::core::option::Option::Some(__value) = &self.#ident { - if *id == #id { + if *id == (#id) { return ::core::option::Option::Some(*__value); } } @@ -545,8 +552,9 @@ fn expand_output(input: DeriveInput) -> Result { } else { let id = id_expr(&namespace, kind, relation, None); order_chains.push(quote!(.chain(::core::iter::once(#id)))); + value_chains.push(quote!(.chain(::core::iter::once(self.#ident)))); resolve_arms.push(quote! { - if *id == #id { + if *id == (#id) { return ::core::option::Option::Some(self.#ident); } }); @@ -600,6 +608,16 @@ fn expand_output(input: DeriveInput) -> Result { .collect() } + // The same field walk as `canonical_order`, reading values: the + // trait default resolves every id through `resolve_output`, a + // linear scan per id that a verifier with `Vec` families pays + // quadratically. + fn opening_values(&self) -> ::std::vec::Vec { + ::core::iter::empty::() + #(#value_chains)* + .collect() + } + fn resolve_output( &self, id: &#id_ty, @@ -675,8 +693,8 @@ fn expand_input(input: DeriveInput) -> Result { let id = id_expr(&namespace, kind, relation, Some(quote!(index))); order_chains.push(quote!(.chain(self.#ident.iter().enumerate().map(|(index, _)| #id)))); resolve_arms.push(quote! { - for (index, __value) in self.#ident.iter().enumerate() { - if *id == #id { + if let #id = *id { + if let ::core::option::Option::Some(__value) = self.#ident.get(index) { return ::core::option::Option::Some(*__value); } } @@ -694,7 +712,7 @@ fn expand_input(input: DeriveInput) -> Result { quote!(return ::core::option::Option::Some(self.#ident);) }; resolve_arms.push(quote! { - if *id == #id { + if *id == (#id) { #hit } }); @@ -808,7 +826,7 @@ fn expand_challenges(input: DeriveInput) -> Result { field_idents.push(ident.clone()); let id = quote!(#challenge_id_ty::from(#path)); resolve_arms.push(quote! { - if *id == #id { + if *id == (#id) { return ::core::option::Option::Some(self.#ident); } }); diff --git a/crates/jolt-claims-derive/src/tests.rs b/crates/jolt-claims-derive/src/tests.rs index c64e394bb8..ec1b008ebf 100644 --- a/crates/jolt-claims-derive/src/tests.rs +++ b/crates/jolt-claims-derive/src/tests.rs @@ -48,7 +48,7 @@ fn canonical_order_follows_field_declaration_order() { "CircuitFlags::VirtualInstruction", "JoltVirtualPolynomial::LookupTableFlag", "JoltCommittedPolynomial::RamInc", - "trusted_advice", + "JoltOpeningId::TrustedAdvice", ] .iter() .map(|needle| { diff --git a/crates/jolt-claims/Cargo.toml b/crates/jolt-claims/Cargo.toml index 0745d4124a..8c81587647 100644 --- a/crates/jolt-claims/Cargo.toml +++ b/crates/jolt-claims/Cargo.toml @@ -11,6 +11,8 @@ workspace = true [features] default = [] akita = [] +# Guest transcript acceleration; layout digests use the protocol DigestHasher. +blake2-inline = ["jolt-transcript/blake2-inline"] # Heap flamegraph visitation of the relation claim structs (profile harness). allocative = ["dep:allocative"] field-inline = ["jolt-lookup-tables/field-inline"] @@ -28,7 +30,6 @@ jolt-openings.workspace = true jolt-riscv = { workspace = true, features = ["serialization"] } jolt-transcript.workspace = true jolt-utils.workspace = true -rayon.workspace = true serde = { workspace = true, features = ["alloc", "derive"] } sha3.workspace = true thiserror.workspace = true diff --git a/crates/jolt-claims/fuzz/Cargo.lock b/crates/jolt-claims/fuzz/Cargo.lock index a59ed59008..e29d6d7032 100644 --- a/crates/jolt-claims/fuzz/Cargo.lock +++ b/crates/jolt-claims/fuzz/Cargo.lock @@ -418,7 +418,6 @@ dependencies = [ "jolt-riscv", "jolt-transcript", "jolt-utils", - "rayon", "serde", "sha3", "thiserror", diff --git a/crates/jolt-claims/src/claim_data.rs b/crates/jolt-claims/src/claim_data.rs index 8be28d757c..fb17b6784c 100644 --- a/crates/jolt-claims/src/claim_data.rs +++ b/crates/jolt-claims/src/claim_data.rs @@ -60,11 +60,12 @@ pub struct MissingOpeningValue { /// Generic over the opening-id type `O` (defaulting to [`JoltOpeningId`]) so the /// trait can live in the framework half and be reused by other protocol families. pub trait OutputClaims { - /// Produced opening scalars in canonical (field-declaration) order. Built from - /// [`canonical_order`](Self::canonical_order) + [`resolve_output`](Self::resolve_output), - /// both derived from the same fields, so `opening_values()[k]` is exactly - /// `resolve_output(canonical_order()[k])`. The ids within one `OutputClaims` - /// struct are distinct, so each canonical-order id resolves to its own value. + /// Produced opening scalars in canonical (field-declaration) order: + /// `opening_values()[k]` is exactly `resolve_output(canonical_order()[k])`. + /// The default builds it from [`canonical_order`](Self::canonical_order) + + /// [`resolve_output`](Self::resolve_output); the derive overrides it with + /// the direct field walk, which agrees because all three come from the same + /// fields and the ids within one `OutputClaims` struct are distinct. #[expect( clippy::expect_used, reason = "every canonical_order id is emitted from the same field as resolve_output, so resolution is infallible by construction" @@ -259,3 +260,68 @@ mod sumcheck_challenges_tests { ); } } + +#[cfg(test)] +mod opening_family_tests { + use crate::protocols::jolt::{ + JoltCommittedPolynomial, JoltOpeningId, JoltRelationId, JoltVirtualPolynomial, + }; + use crate::{InputClaims, OutputClaims}; + use jolt_field::{Fr, Ring}; + + #[derive(OutputClaims)] + #[relation(Booleanity)] + struct Produced { + #[opening(committed = InstructionRa)] + values: Vec, + } + + #[derive(InputClaims)] + struct Consumed { + #[opening(LookupTableFlag, from = SpartanOuter)] + values: Vec, + } + + #[test] + fn indexed_openings_check_family_relation_and_bounds() { + for len in [0, 3] { + let values = (0..len) + .map(|i| Fr::from_u64(i as u64 + 11)) + .collect::>(); + let produced = Produced { + values: values.clone(), + }; + let consumed = Consumed { + values: values.clone(), + }; + for index in [0, 1, 2, 3, usize::MAX] { + let output = JoltOpeningId::committed( + JoltCommittedPolynomial::InstructionRa(index), + JoltRelationId::Booleanity, + ); + let input = JoltOpeningId::virtual_polynomial( + JoltVirtualPolynomial::LookupTableFlag(index), + JoltRelationId::SpartanOuter, + ); + assert_eq!(produced.resolve_output(&output), values.get(index).copied()); + assert_eq!(consumed.resolve_input(&input), values.get(index).copied()); + assert_eq!(produced.resolve_output(&input), None); + assert_eq!(consumed.resolve_input(&output), None); + assert_eq!( + produced.resolve_output(&JoltOpeningId::committed( + JoltCommittedPolynomial::InstructionRa(index), + JoltRelationId::SpartanOuter, + )), + None + ); + assert_eq!( + consumed.resolve_input(&JoltOpeningId::virtual_polynomial( + JoltVirtualPolynomial::LookupTableFlag(index), + JoltRelationId::Booleanity, + )), + None + ); + } + } + } +} diff --git a/crates/jolt-claims/src/claims.rs b/crates/jolt-claims/src/claims.rs index 2603d8ab44..bda647c5b3 100644 --- a/crates/jolt-claims/src/claims.rs +++ b/crates/jolt-claims/src/claims.rs @@ -2,7 +2,7 @@ use jolt_field::Ring; use serde::{Deserialize, Serialize}; /// An atomic value used inside a symbolic claim expression. -#[derive(Clone, Debug, PartialEq, Eq, Hash, Serialize, Deserialize)] +#[derive(Clone, Copy, Debug, PartialEq, Eq, Hash, Serialize, Deserialize)] pub enum Source { /// Polynomial opening supplied by the prover and checked by the verifier. Opening(O), @@ -40,6 +40,8 @@ impl Term { } /// A symbolic sum-of-products expression. +/// Products and powers require `Copy` identifiers so factor lists can copy +/// complete values without cloning individual enum variants. #[derive(Clone, Debug, Default, PartialEq, Eq, Serialize, Deserialize)] pub struct Expr { pub terms: Vec>, @@ -125,8 +127,28 @@ impl Expr { } } -impl Expr { +impl Expr { pub fn pow(self, mut exponent: usize) -> Self { + // A single source (a challenge, typically) raised to a power is one + // term with the factor repeated: build it directly instead of + // squaring symbolic products, which copies O(n log n) factors. + if let [term] = self.terms.as_slice() { + if let [source] = term.factors.as_slice() { + if exponent == 0 { + return Self::one(); + } + let mut coefficient = F::one(); + for _ in 0..exponent { + coefficient *= term.coefficient; + } + return Self { + terms: vec![Term { + coefficient, + factors: vec![*source; exponent], + }], + }; + } + } let mut result = Self::one(); let mut base = self; @@ -262,10 +284,10 @@ mod tests { assert_eq!( expr.terms, vec![ - term(1, vec![offset.clone(), b.clone(), alpha.clone()]), - term(1, vec![offset, a.clone()]), - term(2, vec![a.clone(), b, alpha]), - term(2, vec![a.clone(), a]), + term(1, vec![offset, b, alpha]), + term(1, vec![offset, a]), + term(2, vec![a, b, alpha]), + term(2, vec![a, a]), ] ); } diff --git a/crates/jolt-claims/src/lib.rs b/crates/jolt-claims/src/lib.rs index 02f8596a9d..56d6417a73 100644 --- a/crates/jolt-claims/src/lib.rs +++ b/crates/jolt-claims/src/lib.rs @@ -41,4 +41,4 @@ pub use claim_data::{ pub use claims::{challenge, constant, derived, opening, Expr, Source, Term}; pub use jolt_claims_derive::{InputClaims, OutputClaims, SumcheckChallenges}; pub use sumcheck::SumcheckDomain; -pub use symbolic::SymbolicSumcheck; +pub use symbolic::{referenced_openings, SymbolicSumcheck}; diff --git a/crates/jolt-claims/src/ops.rs b/crates/jolt-claims/src/ops.rs index 9666a5b7e6..ab4b902dd5 100644 --- a/crates/jolt-claims/src/ops.rs +++ b/crates/jolt-claims/src/ops.rs @@ -137,32 +137,52 @@ impl Neg for &Expr { } } -impl Mul for Expr { +impl Mul for Expr { type Output = Self; - fn mul(self, rhs: Self) -> Self::Output { + fn mul(mut self, rhs: Self) -> Self::Output { if self.is_zero() || rhs.is_zero() { return Self::zero(); } + if let [rhs_term] = rhs.terms.as_slice() { + for lhs_term in &mut self.terms { + lhs_term.coefficient *= rhs_term.coefficient; + lhs_term.factors.extend(rhs_term.factors.iter().copied()); + } + return self; + } + + // Each left term's factor list is copied once per right term except + // the last, which takes it over: the common `power * source` product + // then costs no factor copies at all. + let Some((rhs_last, rhs_init)) = rhs.terms.split_last() else { + return Self::zero(); + }; let mut terms = Vec::with_capacity(self.terms.len() * rhs.terms.len()); for lhs_term in self.terms { - for rhs_term in &rhs.terms { + for rhs_term in rhs_init { let mut factors = Vec::with_capacity(lhs_term.factors.len() + rhs_term.factors.len()); - factors.extend_from_slice(&lhs_term.factors); - factors.extend_from_slice(&rhs_term.factors); + factors.extend(lhs_term.factors.iter().copied()); + factors.extend(rhs_term.factors.iter().copied()); terms.push(Term { coefficient: lhs_term.coefficient * rhs_term.coefficient, factors, }); } + let mut factors = lhs_term.factors; + factors.extend(rhs_last.factors.iter().copied()); + terms.push(Term { + coefficient: lhs_term.coefficient * rhs_last.coefficient, + factors, + }); } Self { terms } } } -impl Mul<&Expr> for Expr { +impl Mul<&Expr> for Expr { type Output = Self; fn mul(self, rhs: &Expr) -> Self::Output { @@ -170,7 +190,7 @@ impl Mul<&Expr> for Expr Mul> for &Expr { +impl Mul> for &Expr { type Output = Expr; fn mul(self, rhs: Expr) -> Self::Output { @@ -178,7 +198,7 @@ impl Mul> for &Expr Mul<&Expr> for &Expr { +impl Mul<&Expr> for &Expr { type Output = Expr; fn mul(self, rhs: &Expr) -> Self::Output { diff --git a/crates/jolt-claims/src/protocols/composed/relations.rs b/crates/jolt-claims/src/protocols/composed/relations.rs index f103a51e3d..bd300aeaf5 100644 --- a/crates/jolt-claims/src/protocols/composed/relations.rs +++ b/crates/jolt-claims/src/protocols/composed/relations.rs @@ -8,6 +8,8 @@ use super::geometry::{ SPARTAN_PRODUCT_BASE_LANES, SPARTAN_PRODUCT_UNISKIP_DOMAIN_SIZE, SPARTAN_PRODUCT_UNISKIP_FIRST_ROUND_DEGREE, }; +use std::collections::BTreeSet; + use super::ComposedOpeningId; use crate::protocols::field_inline::geometry::{ product as field_product, spartan as field_spartan, @@ -24,7 +26,10 @@ use crate::protocols::jolt::{ BytecodeReadRafChallenge, JoltChallengeId, JoltDerivedId, JoltOpeningId, JoltRelationId, SpartanOuterPublic, SpartanProductVirtualizationPublic, }; -use crate::{derived, opening, Expr, NoChallenges, Source, SumcheckDomain, SymbolicSumcheck, Term}; +use crate::{ + derived, opening, referenced_openings, Expr, NoChallenges, Source, SumcheckDomain, + SymbolicSumcheck, Term, +}; use jolt_field::Ring; use jolt_lookup_tables::{LookupTableKind, XLEN as RISCV_XLEN}; @@ -54,6 +59,23 @@ pub struct OuterRemainder { shape: SpartanOuterDimensions, } +impl OuterRemainder { + /// The ordinary Az/Bz linear forms extended with the field-inline columns. + fn output_factor_expressions(&self) -> (ComposedExpr, ComposedExpr) { + let (az, bz) = base::OuterRemainder::new(self.shape.clone()).output_factor_expressions(); + let mut az = lift(az); + let mut bz = lift(bz); + let ids = (self.shape.variables().len()..).zip(field_spartan::outer_output_openings()); + for (index, id) in ids { + az = az + + derived(JoltDerivedId::from(SpartanOuterPublic::AzWeight(index))) * opening(id); + bz = bz + + derived(JoltDerivedId::from(SpartanOuterPublic::BzWeight(index))) * opening(id); + } + (az, bz) + } +} + impl SymbolicSumcheck for OuterRemainder { type RelationId = JoltRelationId; type OpeningId = ComposedOpeningId; @@ -79,18 +101,17 @@ impl SymbolicSumcheck for OuterRemainder { opening(spartan::outer_uniskip_opening()) } fn output_expression(&self) -> ComposedExpr { - let (az, bz) = base::OuterRemainder::new(self.shape.clone()).output_factor_expressions(); - let mut az = lift(az); - let mut bz = lift(bz); - let ids = (self.shape.variables().len()..).zip(field_spartan::outer_output_openings()); - for (index, id) in ids { - az = az - + derived(JoltDerivedId::from(SpartanOuterPublic::AzWeight(index))) * opening(id); - bz = bz - + derived(JoltDerivedId::from(SpartanOuterPublic::BzWeight(index))) * opening(id); - } + let (az, bz) = self.output_factor_expressions(); derived(JoltDerivedId::from(SpartanOuterPublic::TauKernel)) * az * bz } + + /// The openings of `az` and `bz`, without expanding their product: each + /// expanded term is a distinct weight-indexed monomial with coefficient + /// one, so no term cancels and the product references exactly these. + fn expected_output_openings(&self) -> BTreeSet { + let (az, bz) = self.output_factor_expressions::(); + referenced_openings([az, bz]) + } } #[derive(Clone)] @@ -293,13 +314,16 @@ mod tests { use super::*; use crate::{InputClaims, OutputClaims}; use jolt_field::Fr; - use std::collections::BTreeSet; #[test] fn symbolic_claims_include_every_extension_opening() { let outer = OuterRemainder::new(SpartanOuterDimensions::rv64(3)); let outer_ids = outer.expected_output_openings::(); assert_eq!(outer_ids.len(), 50); + assert_eq!( + outer_ids, + referenced_openings([outer.output_expression::()]) + ); let outputs = OuterOutputs::::from_opening_values(|id| { outer_ids.contains(id).then_some(Fr::from_u64(1)) }) diff --git a/crates/jolt-claims/src/protocols/field_inline/geometry/bytecode.rs b/crates/jolt-claims/src/protocols/field_inline/geometry/bytecode.rs index 8810bdd849..4a1d23cf0c 100644 --- a/crates/jolt-claims/src/protocols/field_inline/geometry/bytecode.rs +++ b/crates/jolt-claims/src/protocols/field_inline/geometry/bytecode.rs @@ -49,20 +49,16 @@ where } let address_eq_evals = EqPolynomial::::evals(inputs.r_address, None); - let row_values = read_raf_stage_values(FieldInlineBytecodeReadRafStageValueInputs { - bytecode: inputs.bytecode, - field_register_read_write_point: inputs.field_register_read_write_point, - field_register_val_evaluation_point: inputs.field_register_val_evaluation_point, - stage4_gammas: inputs.stage4_gammas, - stage5_gammas: inputs.stage5_gammas, - }); - - let mut stage_values = [F::zero(); 5]; - for (row_values, eq_address) in row_values.into_iter().zip(address_eq_evals) { - for (stage_value, row_value) in stage_values.iter_mut().zip(row_values) { - *stage_value += row_value * eq_address; - } - } + let mut stage_values = read_raf_folded_stage_values( + FieldInlineBytecodeReadRafStageValueInputs { + bytecode: inputs.bytecode, + field_register_read_write_point: inputs.field_register_read_write_point, + field_register_val_evaluation_point: inputs.field_register_val_evaluation_point, + stage4_gammas: inputs.stage4_gammas, + stage5_gammas: inputs.stage5_gammas, + }, + &address_eq_evals, + ); stage_values[3] *= EqPolynomial::::mle(inputs.field_register_read_write_cycle_point, inputs.r_cycle); @@ -117,15 +113,67 @@ where F: JoltField, { let operands = row.field_operands(); - let stage4 = register_eq(operands.rd, field_read_write_eq) * stage4_gammas[3] - + register_eq(operands.rs1, field_read_write_eq) * stage4_gammas[4] - + register_eq(operands.rs2, field_read_write_eq) * stage4_gammas[5]; - let stage5 = register_eq(operands.rd, field_val_evaluation_eq) - * stage5_gammas[2 + LookupTableKind::::COUNT]; + assemble_stage_values( + [operands.rd, operands.rs1, operands.rs2] + .map(|register| register_eq(register, field_read_write_eq)), + register_eq(operands.rd, field_val_evaluation_eq), + stage4_gammas, + stage5_gammas, + ) +} +/// The field-register stage values from the read-write eq at `rd`, `rs1`, +/// `rs2` and the value-evaluation eq at `rd`: per row, or summed over rows. +fn assemble_stage_values( + read_write: [F; 3], + val_evaluation: F, + stage4_gammas: &[F], + stage5_gammas: &[F], +) -> [F; 5] { + let stage4 = read_write[0] * stage4_gammas[3] + + read_write[1] * stage4_gammas[4] + + read_write[2] * stage4_gammas[5]; + let stage5 = val_evaluation * stage5_gammas[2 + LookupTableKind::::COUNT]; [F::zero(), F::zero(), F::zero(), stage4, stage5] } +/// `Σ_r address_eq[r] · read_raf_row_values(r)`, folded column-first: each +/// row adds its eq weight into a bucket per field-register operand, and the +/// buckets meet the register eq tables and gammas once. +pub fn read_raf_folded_stage_values( + inputs: FieldInlineBytecodeReadRafStageValueInputs<'_, F>, + address_eq: &[F], +) -> [F; 5] +where + F: JoltField, +{ + let read_write_eq = EqPolynomial::::evals(inputs.field_register_read_write_point, None); + let val_evaluation_eq = + EqPolynomial::::evals(inputs.field_register_val_evaluation_point, None); + let mut buckets: [Vec; 3] = + std::array::from_fn(|_| vec![F::zero(); read_write_eq.len().max(val_evaluation_eq.len())]); + for (row, &eq) in inputs.bytecode.iter().zip(address_eq) { + let operands = row.field_operands(); + for (bucket, register) in buckets + .iter_mut() + .zip([operands.rd, operands.rs1, operands.rs2]) + { + if let Some(slot) = register.and_then(|register| bucket.get_mut(usize::from(register))) + { + *slot += eq; + } + } + } + assemble_stage_values( + std::array::from_fn(|operand| { + F::dot_product(&read_write_eq, &buckets[operand][..read_write_eq.len()]) + }), + F::dot_product(&val_evaluation_eq, &buckets[0][..val_evaluation_eq.len()]), + inputs.stage4_gammas, + inputs.stage5_gammas, + ) +} + fn register_eq(register: Option, eq: &[F]) -> F { register .and_then(|register| eq.get(usize::from(register))) diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/booleanity.rs b/crates/jolt-claims/src/protocols/jolt/geometry/booleanity.rs index 30bbbd7943..ecba98a209 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/booleanity.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/booleanity.rs @@ -1,10 +1,9 @@ use jolt_field::Ring; -use crate::{challenge, derived, opening}; +use crate::{derived, opening}; use super::super::{ - BooleanityChallenge, BooleanityPublic, JoltExpr, JoltOpeningId, JoltRelationId, - JoltVirtualPolynomial, + BooleanityPublic, JoltExpr, JoltOpeningId, JoltRelationId, JoltVirtualPolynomial, }; use super::ra::JoltRaPolynomialLayout; @@ -43,13 +42,17 @@ pub(crate) fn booleanity_output(openings: impl IntoIterator( + id: BytecodeReadRafChallenge, + exponent: usize, +) -> JoltExpr { + match exponent { + 0 => JoltExpr::one(), + 1 => challenge(id), + _ => derived(BytecodeReadRafPublic::ChallengePow { + challenge: id, + exponent, + }), + } +} + +/// `γ^exponent` for the read-RAF batching challenge. +fn gamma_power_expr(exponent: usize) -> JoltExpr { + challenge_pow_expr(BytecodeReadRafChallenge::Gamma, exponent) +} + +/// The value behind [`BytecodeReadRafPublic::ChallengePow`]. +pub fn challenge_pow(value: F, exponent: usize) -> F { + super::claim_reductions::hamming_weight::gamma_pow(value, exponent) +} + +/// One past the largest exponent the read-RAF expressions raise each +/// challenge to, for `num_val_stages` val stages: the verifier registers the +/// [`BytecodeReadRafPublic::ChallengePow`] publics `2..bound` per challenge. +pub fn challenge_power_bounds(num_val_stages: usize) -> [(BytecodeReadRafChallenge, usize); 6] { + let [stage1, stage2, stage3, stage4, stage5] = BYTECODE_STAGE_GAMMA_COUNTS; + [ + (BytecodeReadRafChallenge::Gamma, num_val_stages + 3), + (BytecodeReadRafChallenge::Stage1Gamma, stage1), + (BytecodeReadRafChallenge::Stage2Gamma, stage2), + (BytecodeReadRafChallenge::Stage3Gamma, stage3), + (BytecodeReadRafChallenge::Stage4Gamma, stage4), + (BytecodeReadRafChallenge::Stage5Gamma, stage5), + ] +} + /// The staged input fold shared by the bytecode read-RAF monolith and its /// address phase: the five base staged claims at `γ^0..4`, then one raw claim /// per `extra_stage_claims` entry at the following powers (the lattice @@ -89,21 +130,20 @@ pub(crate) fn read_raf_address_input_fold(extra_stage_claims: Vec where F: Ring, { - let gamma = challenge(BytecodeReadRafChallenge::Gamma); let base_stages = BYTECODE_STAGE_GAMMA_COUNTS.len(); let num_val_stages = base_stages + extra_stage_claims.len(); - let mut fold = gamma.clone().pow(num_val_stages + 2) + let mut fold = gamma_power_expr(num_val_stages + 2) + stage1_claim() - + gamma.clone() * stage2_claim() - + gamma.clone().pow(2) * stage3_claim() - + gamma.clone().pow(3) * stage4_claim() - + gamma.clone().pow(4) * stage5_claim::(); + + gamma_power_expr(1) * stage2_claim() + + gamma_power_expr(2) * stage3_claim() + + gamma_power_expr(3) * stage4_claim() + + gamma_power_expr(4) * stage5_claim::(); for (index, claim) in extra_stage_claims.into_iter().enumerate() { - fold = fold + gamma.clone().pow(base_stages + index) * claim; + fold = fold + gamma_power_expr(base_stages + index) * claim; } - fold + gamma.clone().pow(num_val_stages) * opening(pc_spartan_outer()) - + gamma.pow(num_val_stages + 1) * opening(pc_shift()) + fold + gamma_power_expr(num_val_stages) * opening(pc_spartan_outer()) + + gamma_power_expr(num_val_stages + 1) * opening(pc_shift()) } pub(crate) fn read_raf_cycle_output( @@ -113,16 +153,15 @@ pub(crate) fn read_raf_cycle_output( where F: Ring, { - let gamma = challenge(BytecodeReadRafChallenge::Gamma); let mut output_coeff = JoltExpr::zero(); for stage in 0..num_val_stages { output_coeff = output_coeff - + gamma.clone().pow(stage) * derived(BytecodeReadRafPublic::StageValue(stage)); + + gamma_power_expr(stage) * derived(BytecodeReadRafPublic::StageValue(stage)); } output_coeff = output_coeff - + gamma.clone().pow(num_val_stages) * derived(BytecodeReadRafPublic::SpartanOuterRaf) - + gamma.clone().pow(num_val_stages + 1) * derived(BytecodeReadRafPublic::SpartanShiftRaf) - + gamma.pow(num_val_stages + 2) * derived(BytecodeReadRafPublic::Entry); + + gamma_power_expr(num_val_stages) * derived(BytecodeReadRafPublic::SpartanOuterRaf) + + gamma_power_expr(num_val_stages + 1) * derived(BytecodeReadRafPublic::SpartanShiftRaf) + + gamma_power_expr(num_val_stages + 2) * derived(BytecodeReadRafPublic::Entry); output_coeff * bytecode_ra_product(dimensions) } @@ -134,21 +173,20 @@ pub(crate) fn read_raf_cycle_output_committed( where F: Ring, { - let gamma = challenge(BytecodeReadRafChallenge::Gamma); // The staged Val factor multiplies after the RA product so the lowered // R1CS auxiliary chain matches core's `[ra..., val_stage]` factor order. let mut output = JoltExpr::zero(); for stage in 0..num_val_stages { output = output - + gamma.clone().pow(stage) + + gamma_power_expr(stage) * derived(BytecodeReadRafPublic::StageCycleEq(stage)) * bytecode_ra_product(dimensions) * opening(super::claim_reductions::bytecode::bytecode_val_stage_opening(stage)); } - let raf_coeff = gamma.clone().pow(num_val_stages) + let raf_coeff = gamma_power_expr(num_val_stages) * derived(BytecodeReadRafPublic::SpartanOuterRaf) - + gamma.clone().pow(num_val_stages + 1) * derived(BytecodeReadRafPublic::SpartanShiftRaf) - + gamma.pow(num_val_stages + 2) * derived(BytecodeReadRafPublic::Entry); + + gamma_power_expr(num_val_stages + 1) * derived(BytecodeReadRafPublic::SpartanShiftRaf) + + gamma_power_expr(num_val_stages + 2) * derived(BytecodeReadRafPublic::Entry); output + raf_coeff * bytecode_ra_product(dimensions) } @@ -188,23 +226,22 @@ pub(crate) fn read_raf_cycle_output_lattice(dimensions: BytecodeReadRafDimens where F: Ring, { - let gamma = challenge(BytecodeReadRafChallenge::Gamma); let base_stages = BYTECODE_STAGE_GAMMA_COUNTS.len(); let num_val_stages = base_stages + LATTICE_FUSED_INC_STAGES; let mut base_coeff = JoltExpr::zero(); for stage in 0..base_stages { base_coeff = base_coeff - + gamma.clone().pow(stage) * derived(BytecodeReadRafPublic::StageValue(stage)); + + gamma_power_expr(stage) * derived(BytecodeReadRafPublic::StageValue(stage)); } base_coeff = base_coeff - + gamma.clone().pow(num_val_stages) * derived(BytecodeReadRafPublic::SpartanOuterRaf) - + gamma.clone().pow(num_val_stages + 1) * derived(BytecodeReadRafPublic::SpartanShiftRaf) - + gamma.clone().pow(num_val_stages + 2) * derived(BytecodeReadRafPublic::Entry); + + gamma_power_expr(num_val_stages) * derived(BytecodeReadRafPublic::SpartanOuterRaf) + + gamma_power_expr(num_val_stages + 1) * derived(BytecodeReadRafPublic::SpartanShiftRaf) + + gamma_power_expr(num_val_stages + 2) * derived(BytecodeReadRafPublic::Entry); let mut fused_coeff = JoltExpr::zero(); for stage in base_stages..num_val_stages { fused_coeff = fused_coeff - + gamma.clone().pow(stage) * derived(BytecodeReadRafPublic::StageValue(stage)); + + gamma_power_expr(stage) * derived(BytecodeReadRafPublic::StageValue(stage)); } (base_coeff + fused_coeff * opening(fused_inc_read_raf_opening())) @@ -222,7 +259,6 @@ pub(crate) fn read_raf_cycle_output_committed_lattice( where F: Ring, { - let gamma = challenge(BytecodeReadRafChallenge::Gamma); let base_stages = BYTECODE_STAGE_GAMMA_COUNTS.len(); let num_val_stages = base_stages + LATTICE_FUSED_INC_STAGES; let ra_product = bytecode_ra_product(dimensions); @@ -232,28 +268,28 @@ where let mut output = JoltExpr::zero(); for stage in 0..base_stages { output = output - + gamma.clone().pow(stage) + + gamma_power_expr(stage) * derived(BytecodeReadRafPublic::StageCycleEq(stage)) * ra_product.clone() * opening(super::claim_reductions::bytecode::bytecode_val_stage_opening(stage)); } - let store_pair = gamma.clone().pow(base_stages) + let store_pair = gamma_power_expr(base_stages) * derived(BytecodeReadRafPublic::StageCycleEq(base_stages)) - + gamma.clone().pow(base_stages + 1) + + gamma_power_expr(base_stages + 1) * derived(BytecodeReadRafPublic::StageCycleEq(base_stages + 1)); - let notstore_pair = gamma.clone().pow(base_stages + 2) + let notstore_pair = gamma_power_expr(base_stages + 2) * derived(BytecodeReadRafPublic::StageCycleEq(base_stages + 2)) - + gamma.clone().pow(base_stages + 3) + + gamma_power_expr(base_stages + 3) * derived(BytecodeReadRafPublic::StageCycleEq(base_stages + 3)); output = output + store_pair * ra_product.clone() * fused.clone() * store.clone() + notstore_pair.clone() * ra_product.clone() * fused.clone() - notstore_pair * ra_product.clone() * fused * store; - let raf_coeff = gamma.clone().pow(num_val_stages) + let raf_coeff = gamma_power_expr(num_val_stages) * derived(BytecodeReadRafPublic::SpartanOuterRaf) - + gamma.clone().pow(num_val_stages + 1) * derived(BytecodeReadRafPublic::SpartanShiftRaf) - + gamma.pow(num_val_stages + 2) * derived(BytecodeReadRafPublic::Entry); + + gamma_power_expr(num_val_stages + 1) * derived(BytecodeReadRafPublic::SpartanShiftRaf) + + gamma_power_expr(num_val_stages + 2) * derived(BytecodeReadRafPublic::Entry); output + raf_coeff * ra_product } @@ -285,7 +321,9 @@ impl BytecodeReadRafPublicValues { pub fn value(&self, id: BytecodeReadRafPublic) -> Option { match id { BytecodeReadRafPublic::StageValue(index) => self.stage_values.get(index).copied(), - BytecodeReadRafPublic::StageCycleEq(_) => None, + BytecodeReadRafPublic::StageCycleEq(_) | BytecodeReadRafPublic::ChallengePow { .. } => { + None + } BytecodeReadRafPublic::SpartanOuterRaf => Some(self.spartan_outer_raf), BytecodeReadRafPublic::SpartanShiftRaf => Some(self.spartan_shift_raf), BytecodeReadRafPublic::Entry => Some(self.entry), @@ -312,7 +350,9 @@ impl BytecodeReadRafCommittedPublicValues { /// instead of evaluating with a silently zeroed term. pub fn value(&self, id: BytecodeReadRafPublic) -> Option { match id { - BytecodeReadRafPublic::StageValue(_) => None, + BytecodeReadRafPublic::StageValue(_) | BytecodeReadRafPublic::ChallengePow { .. } => { + None + } BytecodeReadRafPublic::StageCycleEq(index) => self.stage_cycle_eqs.get(index).copied(), BytecodeReadRafPublic::SpartanOuterRaf => Some(self.spartan_outer_raf), BytecodeReadRafPublic::SpartanShiftRaf => Some(self.spartan_shift_raf), @@ -427,6 +467,12 @@ where } } +impl BytecodeReadRafRegisterEqEvals { + fn weighted_read_write(&self, gammas: &[F]) -> [Vec; 3] { + std::array::from_fn(|i| self.read_write.iter().map(|eq| *eq * gammas[i]).collect()) + } +} + /// Every bytecode row's staged values: the five gamma-folded stages, plus /// (lattice) the store circuit flag as the sixth staged value, folded like /// the others by the read-raf consumers. @@ -440,83 +486,22 @@ where inputs.register_read_write_point, inputs.register_val_evaluation_point, ); + let weighted_read_write = register_eq.weighted_read_write(inputs.stage4_gammas); + let gammas = stage_gammas(&inputs); inputs .bytecode .iter() .map(|instruction| { read_raf_row_values::( instruction, - ®ister_eq.read_write, + &weighted_read_write, ®ister_eq.val_evaluation, - inputs.stage1_gammas, - inputs.stage2_gammas, - inputs.stage3_gammas, - inputs.stage4_gammas, - inputs.stage5_gammas, + &gammas, ) }) .collect() } -/// Fold staged bytecode values without allocating a row-value matrix. Large -/// tables use Rayon; small tables run serially. Field addition makes the result -/// independent of chunk scheduling. -pub fn read_raf_fold_stage_values( - inputs: BytecodeReadRafStageValueInputs<'_, F>, - address_eq_evals: &[F], -) -> Result<[F; NUM_BYTECODE_VAL_STAGES], PointGeometryError> { - if inputs.bytecode.len() != address_eq_evals.len() { - return Err(PointGeometryError::EvaluationDomainLengthMismatch { - expected: inputs.bytecode.len(), - got: address_eq_evals.len(), - }); - } - let register_eq = read_raf_register_eq_evals( - inputs.register_read_write_point, - inputs.register_val_evaluation_point, - ); - let fold_rows = |rows: &[JoltInstructionRow], weights: &[F]| { - let mut sums = [F::zero(); NUM_BYTECODE_VAL_STAGES]; - for (instruction, weight) in rows.iter().zip(weights) { - let values = read_raf_row_values::( - instruction, - ®ister_eq.read_write, - ®ister_eq.val_evaluation, - inputs.stage1_gammas, - inputs.stage2_gammas, - inputs.stage3_gammas, - inputs.stage4_gammas, - inputs.stage5_gammas, - ); - for (sum, value) in sums.iter_mut().zip(values) { - *sum += value * *weight; - } - } - sums - }; - const PARALLEL_MIN_ROWS: usize = 1 << 15; - const CHUNK_ROWS: usize = 1 << 12; - let folded = if inputs.bytecode.len() < PARALLEL_MIN_ROWS { - fold_rows(inputs.bytecode, address_eq_evals) - } else { - inputs - .bytecode - .par_chunks(CHUNK_ROWS) - .zip(address_eq_evals.par_chunks(CHUNK_ROWS)) - .map(|(rows, weights)| fold_rows(rows, weights)) - .reduce( - || [F::zero(); NUM_BYTECODE_VAL_STAGES], - |mut left, right| { - for (sum, value) in left.iter_mut().zip(right) { - *sum += value; - } - left - }, - ) - }; - Ok(folded) -} - pub fn read_raf_public_values( inputs: BytecodeReadRafEvaluationInputs<'_, F>, ) -> Result, PointGeometryError> @@ -537,31 +522,23 @@ where }); } - let register_eq = read_raf_register_eq_evals( - inputs.register_read_write_point, - inputs.register_val_evaluation_point, - ); let address_eq_evals = EqPolynomial::::evals(inputs.r_address, None); - + let folded = read_raf_fold_stage_values( + BytecodeReadRafStageValueInputs { + bytecode: inputs.bytecode, + register_read_write_point: inputs.register_read_write_point, + register_val_evaluation_point: inputs.register_val_evaluation_point, + stage1_gammas: inputs.stage1_gammas, + stage2_gammas: inputs.stage2_gammas, + stage3_gammas: inputs.stage3_gammas, + stage4_gammas: inputs.stage4_gammas, + stage5_gammas: inputs.stage5_gammas, + }, + &address_eq_evals, + )?; // The base monolith publics carry the five gamma'd stages only; the - // lattice sixth (store) row value never flows through this path, so the - // zip below is deliberately driven by the five-slot accumulator. - let mut stage_values = [F::zero(); 5]; - for (instruction, eq_address) in inputs.bytecode.iter().zip(address_eq_evals) { - let row_values = read_raf_row_values::( - instruction, - ®ister_eq.read_write, - ®ister_eq.val_evaluation, - inputs.stage1_gammas, - inputs.stage2_gammas, - inputs.stage3_gammas, - inputs.stage4_gammas, - inputs.stage5_gammas, - ); - for (stage_value, row_value) in stage_values.iter_mut().zip(row_values) { - *stage_value += row_value * eq_address; - } - } + // lattice sixth (store) staged value never flows through this path. + let mut stage_values: [F; 5] = std::array::from_fn(|stage| folded[stage]); let stage_cycle_eqs = inputs .stage_cycle_points @@ -588,91 +565,165 @@ where }) } -#[expect( - clippy::too_many_arguments, - reason = "Each gamma slice corresponds to one protocol subexpression." -)] -fn read_raf_row_values( +/// Indices into [`BYTECODE_STAGE_GAMMA_COUNTS`] of the stages whose gamma +/// terms [`read_raf_flag_terms`] reports. +const STAGE1: usize = 0; +const STAGE2: usize = 1; +const STAGE3: usize = 2; +const STAGE5: usize = 4; + +/// Decode one row's flags, report each gamma they select as `(stage, index)`, +/// and return its store flag. +/// +/// With `γ_s` the stage-`s` gamma powers and each sum over the indices +/// reported for that stage, a row's stage values are +/// - stage 1: `address + γ_1[1]·imm + Σ γ_1[k]`, +/// - stage 2: `Σ γ_2[k]`, +/// - stage 3: `imm + γ_3[1]·address + Σ γ_3[k]`, +/// - stage 4: the stage-4-weighted read-write register eq at `rd`, `rs1`, `rs2`, +/// - stage 5: `eq_val(rd) + Σ γ_5[k]`, +/// +/// plus (lattice) the store flag. Everything this reports depends only on the +/// row's [`JoltInstructionRow::flag_class`]. +fn read_raf_flag_terms( instruction: &JoltInstructionRow, - register_read_write_eq: &[F], - register_val_evaluation_eq: &[F], - stage1_gammas: &[F], - stage2_gammas: &[F], - stage3_gammas: &[F], - stage4_gammas: &[F], - stage5_gammas: &[F], -) -> [F; NUM_BYTECODE_VAL_STAGES] -where - F: JoltField, -{ + mut gamma: impl FnMut(usize, usize), +) -> bool { let decoded = JoltInstruction::from(*instruction); let circuit_flags = decoded.circuit_flags(); let instruction_flags = decoded.instruction_flags(); - let mut stage1 = F::from_u64(instruction.address as u64); - stage1 += stage1_gammas[1].mul_i128(instruction.operands.imm); for (index, flag) in CIRCUIT_FLAGS.into_iter().enumerate() { if circuit_flags[flag] { - stage1 += stage1_gammas[index + 2]; + gamma(STAGE1, index + 2); } } - - let mut stage2 = F::zero(); - if circuit_flags[CircuitFlags::Jump] { - stage2 += stage2_gammas[0]; + for (selected, index) in [ + (circuit_flags[CircuitFlags::Jump], 0), + (instruction_flags[InstructionFlags::Branch], 1), + (circuit_flags[CircuitFlags::WriteLookupOutputToRD], 2), + (circuit_flags[CircuitFlags::VirtualInstruction], 3), + ] { + if selected { + gamma(STAGE2, index); + } } - if instruction_flags[InstructionFlags::Branch] { - stage2 += stage2_gammas[1]; + for (selected, index) in [ + ( + instruction_flags[InstructionFlags::LeftOperandIsRs1Value], + 2, + ), + (instruction_flags[InstructionFlags::LeftOperandIsPC], 3), + ( + instruction_flags[InstructionFlags::RightOperandIsRs2Value], + 4, + ), + (instruction_flags[InstructionFlags::RightOperandIsImm], 5), + (instruction_flags[InstructionFlags::IsNoop], 6), + ( + instruction_flags[InstructionFlags::RightOperandIsRdWriteValue], + 7, + ), + (circuit_flags[CircuitFlags::VirtualInstruction], 8), + (circuit_flags[CircuitFlags::IsFirstInSequence], 9), + ] { + if selected { + gamma(STAGE3, index); + } } - if circuit_flags[CircuitFlags::WriteLookupOutputToRD] { - stage2 += stage2_gammas[2]; + if !circuit_flags.is_interleaved_operands() { + gamma(STAGE5, 1); } - if circuit_flags[CircuitFlags::VirtualInstruction] { - stage2 += stage2_gammas[3]; + if let Some(table) = InstructionLookupTable::::lookup_table(&decoded) { + gamma(STAGE5, 2 + table.index()); } + circuit_flags[CircuitFlags::Store] +} - let mut stage3 = F::from_i128(instruction.operands.imm); - stage3 += stage3_gammas[1].mul_u64(instruction.address as u64); - if instruction_flags[InstructionFlags::LeftOperandIsRs1Value] { - stage3 += stage3_gammas[2]; - } - if instruction_flags[InstructionFlags::LeftOperandIsPC] { - stage3 += stage3_gammas[3]; - } - if instruction_flags[InstructionFlags::RightOperandIsRs2Value] { - stage3 += stage3_gammas[4]; - } - if instruction_flags[InstructionFlags::RightOperandIsImm] { - stage3 += stage3_gammas[5]; - } - if instruction_flags[InstructionFlags::IsNoop] { - stage3 += stage3_gammas[6]; - } - if instruction_flags[InstructionFlags::RightOperandIsRdWriteValue] { - stage3 += stage3_gammas[7]; - } - if circuit_flags[CircuitFlags::VirtualInstruction] { - stage3 += stage3_gammas[8]; +/// Dense indices for the distinct [`JoltInstructionRow::flag_class`]es of a +/// bytecode table, in first-seen order (open addressing over the class key). +/// Slots and keys are word-sized: a Jolt guest expands sub-word stores and +/// loads into multi-row sequences. +struct FlagClasses { + slots: Vec, + keys: Vec, +} + +impl FlagClasses { + fn with_rows(rows: usize) -> Self { + Self { + slots: vec![usize::MAX; (2 * rows).next_power_of_two().max(16)], + keys: Vec::new(), + } } - if circuit_flags[CircuitFlags::IsFirstInSequence] { - stage3 += stage3_gammas[9]; + + /// The index of `key`'s class, and whether this call created it. + fn index(&mut self, key: u32) -> (usize, bool) { + let key = key as usize; + let mask = self.slots.len() - 1; + let mut slot = key.wrapping_mul(0x9e37_79b9) & mask; + loop { + match self.slots[slot] { + usize::MAX => { + let class = self.keys.len(); + self.keys.push(key); + self.slots[slot] = class; + return (class, true); + } + class if self.keys[class] == key => return (class, false), + _ => slot = (slot + 1) & mask, + } + } } +} +fn read_raf_row_values( + instruction: &JoltInstructionRow, + register_read_write_eq: &[Vec; 3], + register_val_evaluation_eq: &[F], + gammas: &[&[F]; 5], +) -> [F; NUM_BYTECODE_VAL_STAGES] +where + F: JoltField, +{ + let mut sums = [F::zero(); 5]; + let is_store = read_raf_flag_terms(instruction, |stage, index| { + sums[stage] += gammas[stage][index]; + }); let operands = instruction.integer_operands(); - let stage4 = register_eq(operands.rd, register_read_write_eq) * stage4_gammas[0] - + register_eq(operands.rs1, register_read_write_eq) * stage4_gammas[1] - + register_eq(operands.rs2, register_read_write_eq) * stage4_gammas[2]; + assemble_stage_values( + F::from_u64(instruction.address as u64), + F::from_i128(instruction.operands.imm), + sums, + gammas, + register_eq(operands.rd, ®ister_read_write_eq[0]) + + register_eq(operands.rs1, ®ister_read_write_eq[1]) + + register_eq(operands.rs2, ®ister_read_write_eq[2]), + register_eq(operands.rd, register_val_evaluation_eq), + F::from_u64(u64::from(is_store)), + ) +} - let mut stage5 = register_eq(operands.rd, register_val_evaluation_eq); - if !circuit_flags.is_interleaved_operands() { - stage5 += stage5_gammas[1]; - } - if let Some(table) = InstructionLookupTable::::lookup_table(&decoded) { - stage5 += stage5_gammas[2 + table.index()]; - } +/// The staged values from an address, immediate, and per-stage gamma sums, +/// the stage-4 register term, the stage-5 `rd` value-evaluation term, and the +/// store flag: one row's, or their `address_eq`-weighted sums over rows. +fn assemble_stage_values( + address: F, + imm: F, + gamma_sums: [F; 5], + gammas: &[&[F]; 5], + stage4: F, + stage5_register: F, + store: F, +) -> [F; NUM_BYTECODE_VAL_STAGES] { + let stage1 = address + gammas[STAGE1][1] * imm + gamma_sums[STAGE1]; + let stage2 = gamma_sums[STAGE2]; + let stage3 = imm + gammas[STAGE3][1] * address + gamma_sums[STAGE3]; + let stage5 = stage5_register + gamma_sums[STAGE5]; #[cfg(not(feature = "akita"))] { + let _ = store; [stage1, stage2, stage3, stage4, stage5] } // The lattice sixth stage: the store circuit flag as a raw staged value @@ -680,11 +731,104 @@ where // `eq(r_address)` like the five gamma'd stages by the read-raf consumers. #[cfg(feature = "akita")] { - let store = F::from_u64(u64::from(circuit_flags[CircuitFlags::Store])); [stage1, stage2, stage3, stage4, stage5, store] } } +/// The per-stage gamma slices, with stage 4's register weights folded in +/// separately. +fn stage_gammas<'a, F>(inputs: &BytecodeReadRafStageValueInputs<'a, F>) -> [&'a [F]; 5] { + [ + inputs.stage1_gammas, + inputs.stage2_gammas, + inputs.stage3_gammas, + &[], + inputs.stage5_gammas, + ] +} + +/// `Σ_r address_eq[r] · stage_values(r)` over the bytecode rows, folded +/// column-first: each row adds its eq weight into one bucket per selected +/// gamma and per register operand, and the buckets meet the gammas once. This +/// equals summing [`read_raf_stage_values`] weighted by `address_eq`, with +/// additions per row instead of one field multiplication per stage. +/// +/// # Errors +/// +/// Rejects an `address_eq` whose length differs from the bytecode table's. +pub fn read_raf_fold_stage_values( + inputs: BytecodeReadRafStageValueInputs<'_, F>, + address_eq: &[F], +) -> Result<[F; NUM_BYTECODE_VAL_STAGES], PointGeometryError> +where + F: JoltField, +{ + if inputs.bytecode.len() != address_eq.len() { + return Err(PointGeometryError::EvaluationDomainLengthMismatch { + expected: inputs.bytecode.len(), + got: address_eq.len(), + }); + } + let register_eq = read_raf_register_eq_evals( + inputs.register_read_write_point, + inputs.register_val_evaluation_point, + ); + let registers = register_eq.read_write.len(); + let mut gamma_buckets: [Vec; 5] = + std::array::from_fn(|stage| vec![F::zero(); BYTECODE_STAGE_GAMMA_COUNTS[stage]]); + let mut register_buckets: [Vec; 3] = std::array::from_fn(|_| vec![F::zero(); registers]); + let mut store = F::zero(); + let rows = inputs.bytecode.len(); + let mut addresses = Vec::with_capacity(rows); + let mut imms = Vec::with_capacity(rows); + let mut classes = FlagClasses::with_rows(rows); + let mut class_weights: Vec = Vec::new(); + let mut class_rows: Vec<&JoltInstructionRow> = Vec::new(); + for (instruction, &eq) in inputs.bytecode.iter().zip(address_eq) { + let (class, created) = classes.index(instruction.flag_class()); + if created { + class_weights.push(F::zero()); + class_rows.push(instruction); + } + class_weights[class] += eq; + let operands = instruction.integer_operands(); + for (bucket, register) in + register_buckets + .iter_mut() + .zip([operands.rd, operands.rs1, operands.rs2]) + { + if let Some(slot) = register.and_then(|register| bucket.get_mut(register as usize)) { + *slot += eq; + } + } + addresses.push(F::from_u64(instruction.address as u64)); + imms.push(F::from_i128(instruction.operands.imm)); + } + for (instruction, &weight) in class_rows.iter().zip(&class_weights) { + if read_raf_flag_terms(instruction, |stage, index| { + gamma_buckets[stage][index] += weight; + }) { + store += weight; + } + } + let eq = address_eq; + let gammas = stage_gammas(&inputs); + let weighted_read_write = register_eq.weighted_read_write(inputs.stage4_gammas); + Ok(assemble_stage_values( + F::dot_product(&addresses, eq), + F::dot_product(&imms, eq), + std::array::from_fn(|stage| F::dot_product(gammas[stage], &gamma_buckets[stage])), + &gammas, + weighted_read_write + .iter() + .zip(®ister_buckets) + .map(|(weights, bucket)| F::dot_product(weights, bucket)) + .fold(F::zero(), |sum, term| sum + term), + F::dot_product(®ister_eq.val_evaluation, ®ister_buckets[0]), + store, + )) +} + fn register_eq(register: Option, eq: &[F]) -> F { register .and_then(|register| eq.get(register as usize)) @@ -715,7 +859,9 @@ where opening(unexpanded_pc_spartan_outer()) + beta.clone() * opening(imm_spartan_outer()); for (i, flag) in CIRCUIT_FLAGS.into_iter().enumerate() { - claim = claim + beta.clone().pow(i + 2) * opening(op_flag_spartan_outer(flag)); + claim = claim + + challenge_pow_expr(BytecodeReadRafChallenge::Stage1Gamma, i + 2) + * opening(op_flag_spartan_outer(flag)); } claim @@ -729,8 +875,10 @@ where opening(op_flag_product(CircuitFlags::Jump)) + beta.clone() * opening(instruction_flag_product(InstructionFlags::Branch)) - + beta.clone().pow(2) * opening(op_flag_product(CircuitFlags::WriteLookupOutputToRD)) - + beta.pow(3) * opening(op_flag_product(CircuitFlags::VirtualInstruction)) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage2Gamma, 2) + * opening(op_flag_product(CircuitFlags::WriteLookupOutputToRD)) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage2Gamma, 3) + * opening(op_flag_product(CircuitFlags::VirtualInstruction)) } pub(crate) fn stage3_claim() -> JoltExpr @@ -741,23 +889,28 @@ where opening(imm()) + beta.clone() * opening(unexpanded_pc_shift()) - + beta.clone().pow(2) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage3Gamma, 2) * opening(instruction_flag_input( InstructionFlags::LeftOperandIsRs1Value, )) - + beta.clone().pow(3) * opening(instruction_flag_input(InstructionFlags::LeftOperandIsPC)) - + beta.clone().pow(4) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage3Gamma, 3) + * opening(instruction_flag_input(InstructionFlags::LeftOperandIsPC)) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage3Gamma, 4) * opening(instruction_flag_input( InstructionFlags::RightOperandIsRs2Value, )) - + beta.clone().pow(5) * opening(instruction_flag_input(InstructionFlags::RightOperandIsImm)) - + beta.clone().pow(6) * opening(instruction_flag_shift(InstructionFlags::IsNoop)) - + beta.clone().pow(7) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage3Gamma, 5) + * opening(instruction_flag_input(InstructionFlags::RightOperandIsImm)) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage3Gamma, 6) + * opening(instruction_flag_shift(InstructionFlags::IsNoop)) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage3Gamma, 7) * opening(instruction_flag_input( InstructionFlags::RightOperandIsRdWriteValue, )) - + beta.clone().pow(8) * opening(op_flag_shift(CircuitFlags::VirtualInstruction)) - + beta.pow(9) * opening(op_flag_shift(CircuitFlags::IsFirstInSequence)) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage3Gamma, 8) + * opening(op_flag_shift(CircuitFlags::VirtualInstruction)) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage3Gamma, 9) + * opening(op_flag_shift(CircuitFlags::IsFirstInSequence)) } pub(crate) fn stage4_claim() -> JoltExpr @@ -768,7 +921,8 @@ where opening(rd_wa_read_write()) + beta.clone() * opening(rs1_ra_read_write()) - + beta.pow(2) * opening(rs2_ra_read_write()) + + challenge_pow_expr(BytecodeReadRafChallenge::Stage4Gamma, 2) + * opening(rs2_ra_read_write()) } pub(crate) fn stage5_claim() -> JoltExpr @@ -780,7 +934,9 @@ where opening(rd_wa_val_evaluation()) + beta.clone() * opening(instruction_raf_flag()); for (i, table) in LookupTableKind::::iter().enumerate() { - claim = claim + beta.clone().pow(i + 2) * opening(lookup_table_flag(table)); + claim = claim + + challenge_pow_expr(BytecodeReadRafChallenge::Stage5Gamma, i + 2) + * opening(lookup_table_flag(table)); } claim @@ -860,3 +1016,124 @@ pub fn bytecode_ra(index: usize) -> JoltOpeningId { JoltRelationId::BytecodeReadRaf, ) } + +#[cfg(test)] +mod tests { + use super::*; + use jolt_field::{Fr, Ring}; + use jolt_riscv::{JoltInstructionKind, NormalizedOperands}; + use std::collections::HashMap; + + /// The folded evaluation groups rows by `flag_class` and reads each + /// class's flags off its first row, so equal classes must yield equal + /// gamma terms and store flags whatever the operands and address. + #[test] + fn flag_class_determines_read_raf_flag_terms() { + let operands = [ + NormalizedOperands::default(), + NormalizedOperands { + rs1: Some(1), + rs2: Some(2), + rd: Some(0), + imm: -7, + }, + NormalizedOperands { + rs1: None, + rs2: Some(31), + rd: Some(5), + imm: 1 << 40, + }, + ]; + let mut terms_by_class = HashMap::new(); + for &instruction_kind in JoltInstructionKind::ALL { + for virtual_sequence_remaining in [None, Some(0), Some(3)] { + for is_compressed in [false, true] { + for is_first_in_sequence in [false, true] { + for (address, operands) in operands.into_iter().enumerate() { + let row = JoltInstructionRow { + instruction_kind, + address: 4 * address + 8, + operands, + virtual_sequence_remaining, + is_first_in_sequence, + is_compressed, + }; + let mut hits = Vec::new(); + let store = + read_raf_flag_terms(&row, |stage, index| hits.push((stage, index))); + let terms = (hits, store); + let first = terms_by_class + .entry(row.flag_class()) + .or_insert_with(|| terms.clone()); + assert_eq!(*first, terms, "{row:?}"); + } + } + } + } + } + } + + #[test] + #[expect(clippy::unwrap_used)] + fn folded_stage_values_match_weighted_row_values() { + let row = |instruction_kind, address, rs1, rs2, rd, imm| JoltInstructionRow { + instruction_kind, + address, + operands: NormalizedOperands { rs1, rs2, rd, imm }, + virtual_sequence_remaining: None, + is_first_in_sequence: false, + is_compressed: false, + }; + // Repeated classes with different operands, empty registers, and a + // store, so every bucket of the fold sees more than one row. + let bytecode = vec![ + row(JoltInstructionKind::ADD, 9, Some(1), Some(2), Some(3), 4), + row(JoltInstructionKind::ADD, 13, Some(7), Some(0), Some(15), -5), + row(JoltInstructionKind::SD, 17, Some(2), Some(9), None, 16), + row(JoltInstructionKind::SD, 21, Some(4), Some(4), None, -8), + JoltInstructionRow::default(), + row( + JoltInstructionKind::ADDI, + 25, + Some(3), + None, + Some(3), + 1 << 33, + ), + ]; + let gammas = |count: usize, offset: u64| { + (0..count) + .map(|value| Fr::from_u64(value as u64 + offset)) + .collect::>() + }; + let stage1_gammas = gammas(2 + NUM_CIRCUIT_FLAGS, 1); + let stage2_gammas = gammas(4, 11); + let stage3_gammas = gammas(BYTECODE_STAGE_GAMMA_COUNTS[2], 17); + let stage4_gammas = gammas(3, 29); + let stage5_gammas = gammas(2 + LookupTableKind::::COUNT, 37); + let register_read_write_point = gammas(4, 43); + let register_val_evaluation_point = gammas(4, 53); + let inputs = || BytecodeReadRafStageValueInputs { + bytecode: &bytecode, + register_read_write_point: ®ister_read_write_point, + register_val_evaluation_point: ®ister_val_evaluation_point, + stage1_gammas: &stage1_gammas, + stage2_gammas: &stage2_gammas, + stage3_gammas: &stage3_gammas, + stage4_gammas: &stage4_gammas, + stage5_gammas: &stage5_gammas, + }; + let address_eq = gammas(bytecode.len(), 61); + + let mut expected = [Fr::from_u64(0); NUM_BYTECODE_VAL_STAGES]; + for (values, eq) in read_raf_stage_values(inputs()).into_iter().zip(&address_eq) { + for (sum, value) in expected.iter_mut().zip(values) { + *sum += *eq * value; + } + } + assert_eq!( + read_raf_fold_stage_values(inputs(), &address_eq).unwrap(), + expected + ); + } +} diff --git a/crates/jolt-claims/src/protocols/jolt/geometry/claim_reductions/hamming_weight.rs b/crates/jolt-claims/src/protocols/jolt/geometry/claim_reductions/hamming_weight.rs index 0c8e89cf74..410e5f12ea 100644 --- a/crates/jolt-claims/src/protocols/jolt/geometry/claim_reductions/hamming_weight.rs +++ b/crates/jolt-claims/src/protocols/jolt/geometry/claim_reductions/hamming_weight.rs @@ -1,6 +1,9 @@ use jolt_field::{JoltField, Ring}; -use crate::opening; +use crate::protocols::jolt::{ + HammingWeightClaimReductionChallenge, HammingWeightClaimReductionPublic, +}; +use crate::{challenge, derived, opening}; use super::super::super::{JoltExpr, JoltOpeningId, JoltRelationId}; use super::super::dimensions::PointGeometryError; @@ -57,6 +60,38 @@ impl HammingWeightClaimReductionOutputOpenings { } } +/// The batching coefficient `gamma^exponent` as an expression leaf: the +/// constant one, the challenge itself, or the `GammaPow` derived value. +pub fn gamma_power_expr(exponent: usize) -> JoltExpr { + match exponent { + 0 => JoltExpr::one(), + 1 => challenge(HammingWeightClaimReductionChallenge::Gamma), + _ => derived(HammingWeightClaimReductionPublic::GammaPow(exponent)), + } +} + +/// `gamma^exponent`, the value behind [`HammingWeightClaimReductionPublic::GammaPow`]. +pub fn gamma_pow(gamma: F, mut exponent: usize) -> F { + let mut result = F::one(); + let mut base = gamma; + while exponent > 0 { + if exponent & 1 == 1 { + result *= base; + } + exponent >>= 1; + if exponent > 0 { + base *= base; + } + } + result +} + +/// One past the largest gamma exponent the base (non-lattice) claim reduction +/// uses: three legs per layout polynomial. +pub fn gamma_power_bound(dimensions: HammingWeightClaimReductionDimensions) -> usize { + 3 * dimensions.layout.polynomials().count() +} + pub fn claim_reduction_output_openings( dimensions: HammingWeightClaimReductionDimensions, ) -> HammingWeightClaimReductionOutputOpenings { diff --git a/crates/jolt-claims/src/protocols/jolt/ids.rs b/crates/jolt-claims/src/protocols/jolt/ids.rs index 4b05c67c34..31f5dd44af 100644 --- a/crates/jolt-claims/src/protocols/jolt/ids.rs +++ b/crates/jolt-claims/src/protocols/jolt/ids.rs @@ -109,6 +109,10 @@ pub enum BooleanityChallenge { #[derive(Hash, PartialEq, Eq, Copy, Clone, Debug, PartialOrd, Ord, Serialize, Deserialize)] pub enum BooleanityPublic { EqAddressCycle, + /// The batching weight γ^exponent, shared by the two terms of one opening. + GammaPow { + exponent: usize, + }, } #[derive(Hash, PartialEq, Eq, Copy, Clone, Debug, PartialOrd, Ord, Serialize, Deserialize)] @@ -139,7 +143,11 @@ pub enum HammingWeightClaimReductionPublic { /// Akita path: `eq(r_virtualization_address_i, 0)` — the digit-zero /// baseline weight of a virtualization leg. EqVirtualizationAtDigitZero(usize), - BalancedIncValueAtAddress, + /// Reserved ordinal for the retired balanced-increment representation. + ReservedBalancedIncValueAtAddress, + /// `gamma^k` for `k >= 2` as one derived leaf: the batching coefficient of + /// the k-th leg. + GammaPow(usize), } #[derive(Hash, PartialEq, Eq, Copy, Clone, Debug, PartialOrd, Ord, Serialize, Deserialize)] @@ -162,6 +170,12 @@ pub enum BytecodeReadRafPublic { SpartanOuterRaf, SpartanShiftRaf, Entry, + /// `challenge^exponent` for an exponent of at least two, as one derived + /// leaf (see `geometry::bytecode::challenge_pow_expr`). + ChallengePow { + challenge: BytecodeReadRafChallenge, + exponent: usize, + }, } #[derive(Hash, PartialEq, Eq, Copy, Clone, Debug, PartialOrd, Ord, Serialize, Deserialize)] @@ -409,7 +423,11 @@ pub enum JoltPolynomialId { Virtual(JoltVirtualPolynomial), } +// Word-aligned so that the verifier's many id moves and comparisons are word +// operations rather than byte-granular ones, which a zkVM guest pays several +// trace rows per byte for. #[derive(Hash, PartialEq, Eq, Copy, Clone, Debug, PartialOrd, Ord, Serialize, Deserialize)] +#[repr(align(8))] pub enum JoltOpeningId { Polynomial { polynomial: JoltPolynomialId, diff --git a/crates/jolt-claims/src/protocols/jolt/lattice/relations/digit_zero.rs b/crates/jolt-claims/src/protocols/jolt/lattice/relations/digit_zero.rs index cc8b4f72c1..3a10c921b2 100644 --- a/crates/jolt-claims/src/protocols/jolt/lattice/relations/digit_zero.rs +++ b/crates/jolt-claims/src/protocols/jolt/lattice/relations/digit_zero.rs @@ -1,20 +1,22 @@ //! Stage-7 digit-zero reduction for instruction and bytecode RA columns. //! RAM retains its Hamming-weight, Booleanity, and virtualization legs. +use std::collections::BTreeSet; + use jolt_field::Ring; use serde::{Deserialize, Serialize}; use crate::protocols::jolt::geometry::claim_reductions::hamming_weight::{ - booleanity_claim, reduced_claim, virtualization_claim, HammingWeightClaimReductionDimensions, + booleanity_claim, gamma_power_expr, reduced_claim, virtualization_claim, + HammingWeightClaimReductionDimensions, }; use crate::protocols::jolt::geometry::ra::JoltRaPolynomial; use crate::protocols::jolt::geometry::ram::ram_hamming_weight; use crate::protocols::jolt::relations::claim_reductions::hamming_weight::HammingWeightClaimReductionChallenges; use crate::protocols::jolt::{ - HammingWeightClaimReductionChallenge, HammingWeightClaimReductionPublic, JoltExpr, - JoltOpeningId, JoltRelationId, + HammingWeightClaimReductionPublic, JoltExpr, JoltOpeningId, JoltRelationId, }; -use crate::{challenge, derived, opening, InputClaims, OutputClaims, SymbolicSumcheck}; +use crate::{derived, opening, InputClaims, OutputClaims, SymbolicSumcheck}; #[derive(Clone, Debug, Default, PartialEq, Eq, InputClaims)] pub struct LatticeDigitZeroClaimReductionInputClaims { @@ -94,7 +96,6 @@ impl SymbolicSumcheck for LatticeDigitZeroClaimReduction { } fn input_expression(&self) -> JoltExpr { - let gamma = challenge(HammingWeightClaimReductionChallenge::Gamma); let eq_booleanity_digit_zero = derived(HammingWeightClaimReductionPublic::EqBooleanityAtDigitZero); let mut input = JoltExpr::zero(); @@ -105,9 +106,9 @@ impl SymbolicSumcheck for LatticeDigitZeroClaimReduction { // includes the digit-zero row. JoltRaPolynomial::Ram(_) => { input = input - + gamma.clone().pow(power) * opening(ram_hamming_weight()) - + gamma.clone().pow(power + 1) * opening(booleanity_claim(polynomial)) - + gamma.clone().pow(power + 2) * opening(virtualization_claim(polynomial)); + + gamma_power_expr(power) * opening(ram_hamming_weight()) + + gamma_power_expr(power + 1) * opening(booleanity_claim(polynomial)) + + gamma_power_expr(power + 2) * opening(virtualization_claim(polynomial)); power += 3; } // Public M_mu = 1: fold eq(r_address, 0) into each input claim. @@ -115,10 +116,10 @@ impl SymbolicSumcheck for LatticeDigitZeroClaimReduction { let eq_virtualization_digit_zero = derived(HammingWeightClaimReductionPublic::EqVirtualizationAtDigitZero(i)); input = input - + gamma.clone().pow(power) + + gamma_power_expr(power) * (opening(booleanity_claim(polynomial)) - eq_booleanity_digit_zero.clone()) - + gamma.clone().pow(power + 1) + + gamma_power_expr(power + 1) * (opening(virtualization_claim(polynomial)) - eq_virtualization_digit_zero); power += 2; @@ -129,7 +130,6 @@ impl SymbolicSumcheck for LatticeDigitZeroClaimReduction { } fn output_expression(&self) -> JoltExpr { - let gamma = challenge(HammingWeightClaimReductionChallenge::Gamma); let eq_booleanity = derived(HammingWeightClaimReductionPublic::EqBooleanity); let eq_booleanity_digit_zero = derived(HammingWeightClaimReductionPublic::EqBooleanityAtDigitZero); @@ -140,9 +140,9 @@ impl SymbolicSumcheck for LatticeDigitZeroClaimReduction { let eq_virtualization = derived(HammingWeightClaimReductionPublic::EqVirtualization(i)); let coefficient = match polynomial { JoltRaPolynomial::Ram(_) => { - let c = gamma.clone().pow(power) - + gamma.clone().pow(power + 1) * eq_booleanity.clone() - + gamma.clone().pow(power + 2) * eq_virtualization; + let c = gamma_power_expr(power) + + gamma_power_expr(power + 1) * eq_booleanity.clone() + + gamma_power_expr(power + 2) * eq_virtualization; power += 3; c } @@ -150,9 +150,9 @@ impl SymbolicSumcheck for LatticeDigitZeroClaimReduction { JoltRaPolynomial::Instruction(_) | JoltRaPolynomial::Bytecode(_) => { let eq_virtualization_digit_zero = derived(HammingWeightClaimReductionPublic::EqVirtualizationAtDigitZero(i)); - let c = gamma.clone().pow(power) + let c = gamma_power_expr(power) * (eq_booleanity.clone() - eq_booleanity_digit_zero.clone()) - + gamma.clone().pow(power + 1) + + gamma_power_expr(power + 1) * (eq_virtualization - eq_virtualization_digit_zero); power += 2; c @@ -162,6 +162,13 @@ impl SymbolicSumcheck for LatticeDigitZeroClaimReduction { } output } + + /// Every output term is one reduced opening times a coefficient built from + /// public values and challenges alone, so the openings are listed + /// without expanding the output. + fn expected_output_openings(&self) -> BTreeSet { + self.shape.layout.polynomials().map(reduced_claim).collect() + } } #[cfg(test)] @@ -172,8 +179,21 @@ mod tests { use crate::protocols::jolt::{ HammingWeightClaimReductionChallenge, JoltChallengeId, JoltDerivedId, }; + use crate::referenced_openings; use jolt_field::{Fr, Ring}; + #[test] + fn expected_output_openings_match_expanded_output() { + let layout = JoltRaPolynomialLayout::new(2, 3, 2).unwrap(); + let relation = LatticeDigitZeroClaimReduction::new( + HammingWeightClaimReductionDimensions::new(layout, 32), + ); + assert_eq!( + relation.expected_output_openings::(), + referenced_openings([relation.output_expression::()]) + ); + } + #[test] fn public_unit_activation_ra_is_reconstructed_but_ram_keeps_base_legs() { let layout = JoltRaPolynomialLayout::new(1, 1, 1).unwrap(); @@ -219,6 +239,9 @@ mod tests { _ => zero, }; let derived_value = |id: &JoltDerivedId| match *id { + JoltDerivedId::HammingWeightClaimReduction( + HammingWeightClaimReductionPublic::GammaPow(exponent), + ) => power(exponent), JoltDerivedId::HammingWeightClaimReduction( HammingWeightClaimReductionPublic::EqBooleanity, ) => eq_bool, @@ -232,7 +255,7 @@ mod tests { HammingWeightClaimReductionPublic::EqVirtualizationAtDigitZero(index), ) => eq_virt_zero[index], JoltDerivedId::HammingWeightClaimReduction( - HammingWeightClaimReductionPublic::BalancedIncValueAtAddress, + HammingWeightClaimReductionPublic::ReservedBalancedIncValueAtAddress, ) => zero, _ => zero, }; diff --git a/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/hamming_weight.rs b/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/hamming_weight.rs index 602b4f2cd7..c8ad8bdfd8 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/hamming_weight.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/claim_reductions/hamming_weight.rs @@ -2,16 +2,14 @@ use jolt_field::Ring; use serde::{Deserialize, Serialize}; use crate::protocols::jolt::geometry::claim_reductions::hamming_weight::{ - booleanity_claim, hamming_weight_claim, reduced_claim, virtualization_claim, + booleanity_claim, gamma_power_expr, hamming_weight_claim, reduced_claim, virtualization_claim, HammingWeightClaimReductionDimensions, }; use crate::protocols::jolt::{ HammingWeightClaimReductionChallenge, HammingWeightClaimReductionPublic, JoltChallengeId, JoltDerivedId, JoltExpr, JoltOpeningId, JoltRelationId, }; -use crate::{ - challenge, derived, opening, InputClaims, OutputClaims, SumcheckChallenges, SymbolicSumcheck, -}; +use crate::{derived, opening, InputClaims, OutputClaims, SumcheckChallenges, SymbolicSumcheck}; /// Produced one-hot `Ra` opening claims, grouped by family (instruction, /// bytecode, RAM) in canonical layout order. Every produced opening shares the @@ -97,28 +95,26 @@ impl SymbolicSumcheck for ClaimReduction { } fn input_expression(&self) -> JoltExpr { - let gamma = challenge(HammingWeightClaimReductionChallenge::Gamma); let mut input = JoltExpr::zero(); for (i, polynomial) in self.shape.layout.polynomials().enumerate() { input = input - + gamma.clone().pow(3 * i) * hamming_weight_claim(polynomial) - + gamma.clone().pow(3 * i + 1) * opening(booleanity_claim(polynomial)) - + gamma.clone().pow(3 * i + 2) * opening(virtualization_claim(polynomial)); + + gamma_power_expr(3 * i) * hamming_weight_claim(polynomial) + + gamma_power_expr(3 * i + 1) * opening(booleanity_claim(polynomial)) + + gamma_power_expr(3 * i + 2) * opening(virtualization_claim(polynomial)); } input } fn output_expression(&self) -> JoltExpr { - let gamma = challenge(HammingWeightClaimReductionChallenge::Gamma); let mut output = JoltExpr::zero(); for (i, polynomial) in self.shape.layout.polynomials().enumerate() { - let output_coeff = gamma.clone().pow(3 * i) - + gamma.clone().pow(3 * i + 1) + let output_coeff = gamma_power_expr(3 * i) + + gamma_power_expr(3 * i + 1) * derived(HammingWeightClaimReductionPublic::EqBooleanity) - + gamma.clone().pow(3 * i + 2) + + gamma_power_expr(3 * i + 2) * derived(HammingWeightClaimReductionPublic::EqVirtualization(i)); output = output + output_coeff * opening(reduced_claim(polynomial)); } diff --git a/crates/jolt-claims/src/protocols/jolt/relations/instruction/read_raf.rs b/crates/jolt-claims/src/protocols/jolt/relations/instruction/read_raf.rs index e1ee923cb3..5bd68c27c4 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/instruction/read_raf.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/instruction/read_raf.rs @@ -1,3 +1,5 @@ +use std::collections::BTreeSet; + use jolt_field::Ring; use jolt_lookup_tables::{LookupTableKind, XLEN}; use serde::{Deserialize, Serialize}; @@ -6,11 +8,11 @@ use crate::protocols::jolt::geometry::claim_reductions::instruction::{ left_lookup_operand_reduced, lookup_output_reduced, right_lookup_operand_reduced, }; use crate::protocols::jolt::geometry::instruction::{ - eq_table_value, instruction_ra_product, instruction_raf_flag, lookup_table_flag, - InstructionReadRafDimensions, READ_RAF_BASE_DEGREE, + eq_table_value, instruction_ra, instruction_ra_product, instruction_raf_flag, + lookup_table_flag, InstructionReadRafDimensions, READ_RAF_BASE_DEGREE, }; use crate::protocols::jolt::{ - InstructionReadRafChallenge, InstructionReadRafPublic, JoltExpr, JoltRelationId, + InstructionReadRafChallenge, InstructionReadRafPublic, JoltExpr, JoltOpeningId, JoltRelationId, }; use crate::SymbolicSumcheck; use crate::{challenge, derived, opening, InputClaims, OutputClaims, SumcheckChallenges}; @@ -108,6 +110,17 @@ impl SymbolicSumcheck for ReadRaf { output } + + /// Every output term multiplies the full RA product by a distinct flag + /// (or by no flag), so no term cancels: the openings are the RA factors + /// and the flags, listed without expanding the output. + fn expected_output_openings(&self) -> BTreeSet { + (0..self.shape.num_virtual_ra_polys()) + .map(instruction_ra) + .chain(LookupTableKind::::iter().map(lookup_table_flag)) + .chain([instruction_raf_flag()]) + .collect() + } } #[cfg(test)] @@ -125,6 +138,15 @@ mod tests { .unwrap_or_else(|err| panic!("test read-RAF dimensions should be nonzero: {err}")) } + #[test] + fn expected_output_openings_match_expanded_output() { + let relation = ReadRaf::new(read_raf_dimensions(3)); + assert_eq!( + relation.expected_output_openings::(), + crate::referenced_openings([relation.output_expression::()]) + ); + } + #[test] fn read_raf_evaluates_like_core_formula() { let dimensions = read_raf_dimensions(2); diff --git a/crates/jolt-claims/src/protocols/jolt/relations/spartan/outer_remainder.rs b/crates/jolt-claims/src/protocols/jolt/relations/spartan/outer_remainder.rs index 2304e0025e..177a26ae03 100644 --- a/crates/jolt-claims/src/protocols/jolt/relations/spartan/outer_remainder.rs +++ b/crates/jolt-claims/src/protocols/jolt/relations/spartan/outer_remainder.rs @@ -8,7 +8,9 @@ use crate::protocols::jolt::geometry::spartan::{ use crate::protocols::jolt::{ JoltChallengeId, JoltDerivedId, JoltExpr, JoltOpeningId, JoltRelationId, SpartanOuterPublic, }; -use crate::{derived, opening, InputClaims, OutputClaims, SymbolicSumcheck}; +use std::collections::BTreeSet; + +use crate::{derived, opening, referenced_openings, InputClaims, OutputClaims, SymbolicSumcheck}; /// Consumed Spartan outer remainder input: the uni-skip's reduced opening. The /// relation reads only this value (its output point comes from its own sumcheck @@ -202,6 +204,14 @@ impl SymbolicSumcheck for OuterRemainder { let (az, bz) = self.output_factor_expressions(); derived(JoltDerivedId::from(SpartanOuterPublic::TauKernel)) * az * bz } + + /// The openings of `az` and `bz`, without expanding their product: each + /// expanded term is a distinct weight-indexed monomial with coefficient + /// one, so no term cancels and the product references exactly these. + fn expected_output_openings(&self) -> BTreeSet { + let (az, bz) = self.output_factor_expressions::(); + referenced_openings([az, bz]) + } } #[cfg(test)] @@ -211,6 +221,15 @@ mod tests { use jolt_field::Fr; use jolt_riscv::CIRCUIT_FLAGS; + #[test] + fn expected_output_openings_match_expanded_output() { + let relation = OuterRemainder::new(SpartanOuterDimensions::rv64(3)); + assert_eq!( + relation.expected_output_openings::(), + referenced_openings([relation.output_expression::()]) + ); + } + /// Pins the circuit-flag coverage of the outer-remainder output claims: every /// `CircuitFlags` variant has a field (a newly added flag missing its field /// would leave an R1CS input opening unresolvable — and desynchronize the diff --git a/crates/jolt-claims/src/symbolic.rs b/crates/jolt-claims/src/symbolic.rs index 1a4c2247de..7e0544a659 100644 --- a/crates/jolt-claims/src/symbolic.rs +++ b/crates/jolt-claims/src/symbolic.rs @@ -1,3 +1,5 @@ +use std::collections::BTreeSet; + use jolt_field::Ring; use crate::{Expr, Source, SumcheckDomain}; @@ -69,20 +71,33 @@ pub trait SymbolicSumcheck { /// holds because the output check constrains every produced opening (an /// unconstrained produced opening would be unsound). The field `F` only /// instantiates the expression — the ids are field-independent. - fn expected_output_openings(&self) -> std::collections::BTreeSet + fn expected_output_openings(&self) -> BTreeSet where Self::OpeningId: Ord, { - self.output_expression::() - .terms - .into_iter() - .flat_map(|term| term.factors) - .filter_map(|factor| match factor { - Source::Opening(id) => Some(id), - _ => None, - }) - .collect() + referenced_openings([self.output_expression::()]) + } +} + +/// The distinct opening ids referenced by `expressions`. +/// +/// A relation whose output is a product of factors can pass the factors +/// instead of their expansion when no product term cancels: then the product +/// references exactly the openings of its factors. +pub fn referenced_openings( + expressions: impl IntoIterator>, +) -> BTreeSet { + let mut openings = BTreeSet::new(); + for expression in expressions { + for term in expression.terms { + for factor in term.factors { + if let Source::Opening(id) = factor { + let _ = openings.insert(id); + } + } + } } + openings } #[cfg(test)] diff --git a/crates/jolt-claims/src/twist/claim_reductions.rs b/crates/jolt-claims/src/twist/claim_reductions.rs index d227d69ebf..31023ee0a6 100644 --- a/crates/jolt-claims/src/twist/claim_reductions.rs +++ b/crates/jolt-claims/src/twist/claim_reductions.rs @@ -10,9 +10,9 @@ use crate::{challenge, derived, opening, Expr}; /// folded by `gamma`, reduced to three openings at the shared reduction point, /// weighted by the `EqSpartan` public. pub trait ValueReductionIds { - type OpeningId: Clone; - type DerivedId: Clone; - type ChallengeId: Clone; + type OpeningId: Copy; + type DerivedId: Copy; + type ChallengeId: Copy; /// Consumed upstream openings, in `gamma` power order (γ⁰, γ¹, γ²). fn consumed() -> [Self::OpeningId; 3]; @@ -64,9 +64,9 @@ pub struct IncrementReductionGroup { /// Id supplier for the increment claim-reduction shape: `groups()` source /// groups, group `g` riding the γ^(2g) offset. pub trait IncrementReductionIds { - type OpeningId: Clone; - type DerivedId: Clone; - type ChallengeId: Clone; + type OpeningId: Copy; + type DerivedId: Copy; + type ChallengeId: Copy; /// The source groups in `gamma` offset order. fn groups() -> Vec>; diff --git a/crates/jolt-claims/src/twist/memory_checking.rs b/crates/jolt-claims/src/twist/memory_checking.rs index d9a45f616f..29cea55c75 100644 --- a/crates/jolt-claims/src/twist/memory_checking.rs +++ b/crates/jolt-claims/src/twist/memory_checking.rs @@ -8,9 +8,9 @@ use crate::{challenge, derived, opening, Expr}; /// value openings folded by `gamma`, five produced openings at the shared /// read-write point, weighted by the `EqCycle` public. pub trait ReadWriteCheckingIds { - type OpeningId: Clone; - type DerivedId: Clone; - type ChallengeId: Clone; + type OpeningId: Copy; + type DerivedId: Copy; + type ChallengeId: Copy; /// Consumed value openings, in `gamma` power order (γ⁰, γ¹, γ²). fn rd_value() -> Self::OpeningId; @@ -56,9 +56,9 @@ pub fn read_write_checking_output( /// Id supplier for the register val-evaluation shape: one consumed `Val` /// opening, two produced openings weighted by the `LtCycle` public. pub trait ValEvaluationIds { - type OpeningId: Clone; - type DerivedId: Clone; - type ChallengeId: Clone; + type OpeningId: Copy; + type DerivedId: Copy; + type ChallengeId: Copy; /// Consumed `Val` opening (at the upstream read-write point). fn registers_val() -> Self::OpeningId; diff --git a/crates/jolt-claims/tests/bytecode_fold.rs b/crates/jolt-claims/tests/bytecode_fold.rs index 242b92454b..449a61209f 100644 --- a/crates/jolt-claims/tests/bytecode_fold.rs +++ b/crates/jolt-claims/tests/bytecode_fold.rs @@ -5,7 +5,6 @@ use jolt_claims::protocols::jolt::geometry::claim_reductions::bytecode::NUM_BYTE use jolt_claims::protocols::jolt::geometry::dimensions::PointGeometryError; use jolt_field::{Fr, One, Ring, Zero}; use jolt_riscv::{JoltInstructionKind as Kind, JoltInstructionRow, NormalizedOperands}; -use rayon::ThreadPoolBuilder; fn fold( bytecode: &[JoltInstructionRow], @@ -61,36 +60,28 @@ fn bytecode_fold_repeated_rows_fixed_vectors() { // At the Boolean register point x0, the base stage vectors are // ADD = [4, 1, -7, 1+2+4, 1], SD = [12, 0, 5, 2+4, 0]. // Akita appends the store indicator: ADD = 0, SD = 1. - for workers in [1, 4] { - ThreadPoolBuilder::new() - .num_threads(workers) - .build() - .unwrap() - .install(|| { - assert_eq!( - fold(&[], &[]).unwrap(), - [Fr::zero(); NUM_BYTECODE_VAL_STAGES] - ); - for len in [1, 4095, 4096, 8193, 32767, 32768, 32769, 65537] { - let mut bytecode = vec![add; len]; - bytecode[len - 1] = store; - let mut weights = vec![Fr::from_u64(3); len]; - weights[len - 1] = -Fr::from_u64(2); + assert_eq!( + fold(&[], &[]).unwrap(), + [Fr::zero(); NUM_BYTECODE_VAL_STAGES] + ); + for len in [1, 4095, 4096, 8193, 32767, 32768, 32769, 65537] { + let mut bytecode = vec![add; len]; + bytecode[len - 1] = store; + let mut weights = vec![Fr::from_u64(3); len]; + weights[len - 1] = -Fr::from_u64(2); - // Homogeneity: n identical ADD rows with weight 3 contribute - // 3n times the fixed ADD vector; the final SD has weight -2. - let m = 3 * (len as i128 - 1); - #[cfg(not(feature = "akita"))] - let expected = [4 * m - 24, m, -7 * m - 10, 7 * m - 12, m]; - #[cfg(feature = "akita")] - let expected = [4 * m - 24, m, -7 * m - 10, 7 * m - 12, m, -2]; - assert_eq!( - fold(&bytecode, &weights).unwrap(), - expected.map(Fr::from_i128), - "len={len}, workers={workers}" - ); - } - }); + // Homogeneity: n identical ADD rows with weight 3 contribute + // 3n times the fixed ADD vector; the final SD has weight -2. + let m = 3 * (len as i128 - 1); + #[cfg(not(feature = "akita"))] + let expected = [4 * m - 24, m, -7 * m - 10, 7 * m - 12, m]; + #[cfg(feature = "akita")] + let expected = [4 * m - 24, m, -7 * m - 10, 7 * m - 12, m, -2]; + assert_eq!( + fold(&bytecode, &weights).unwrap(), + expected.map(Fr::from_i128), + "len={len}" + ); } } diff --git a/crates/jolt-claims/tests/field_inline_read_raf.rs b/crates/jolt-claims/tests/field_inline_read_raf.rs new file mode 100644 index 0000000000..09e4301c4e --- /dev/null +++ b/crates/jolt-claims/tests/field_inline_read_raf.rs @@ -0,0 +1,65 @@ +//! The field-register read-RAF fold against the per-row stage values. +#![cfg(feature = "field-inline")] + +use jolt_claims::protocols::field_inline::geometry::bytecode::{ + read_raf_folded_stage_values, read_raf_stage_values, + FieldInlineBytecodeReadRafStageValueInputs, FIELD_INLINE_BYTECODE_STAGE4_GAMMA_COUNT, +}; +use jolt_field::{Fr, Ring}; +use jolt_lookup_tables::{LookupTableKind, XLEN}; +use jolt_riscv::JoltInstructionRow; +use jolt_riscv::{JoltInstructionKind, NormalizedOperands}; + +#[test] +fn folded_stage_values_match_weighted_row_values() { + let row = |instruction_kind, rs1, rs2, rd| JoltInstructionRow { + instruction_kind, + operands: NormalizedOperands { + rs1, + rs2, + rd, + imm: 0, + }, + ..JoltInstructionRow::default() + }; + let bytecode = vec![ + row(JoltInstructionKind::FIELD_MUL, Some(1), Some(2), Some(3)), + row(JoltInstructionKind::FIELD_MUL, Some(3), Some(3), Some(15)), + row(JoltInstructionKind::FIELD_ADD, Some(0), Some(7), Some(1)), + row(JoltInstructionKind::ADD, Some(1), Some(2), Some(3)), + JoltInstructionRow::default(), + ]; + let field = |count: usize, offset: u64| { + (0..count) + .map(|value| Fr::from_u64(value as u64 + offset)) + .collect::>() + }; + let read_write_point = field(4, 3); + let val_evaluation_point = field(4, 7); + let stage4_gammas = field(FIELD_INLINE_BYTECODE_STAGE4_GAMMA_COUNT, 11); + let stage5_gammas = field(3 + LookupTableKind::::COUNT, 19); + let inputs = || FieldInlineBytecodeReadRafStageValueInputs { + bytecode: &bytecode, + field_register_read_write_point: &read_write_point, + field_register_val_evaluation_point: &val_evaluation_point, + stage4_gammas: &stage4_gammas, + stage5_gammas: &stage5_gammas, + }; + let address_eq = field(bytecode.len(), 29); + + let mut expected = [Fr::from_u64(0); 5]; + for (values, eq) in read_raf_stage_values(inputs()).iter().zip(&address_eq) { + for (sum, value) in expected.iter_mut().zip(values) { + *sum += *eq * *value; + } + } + assert_ne!( + expected[3], + Fr::from_u64(0), + "rows must carry field operands" + ); + assert_eq!( + read_raf_folded_stage_values(inputs(), &address_eq), + expected + ); +} diff --git a/crates/jolt-dory/Cargo.toml b/crates/jolt-dory/Cargo.toml index 767121e7d3..e731b0ea2e 100644 --- a/crates/jolt-dory/Cargo.toml +++ b/crates/jolt-dory/Cargo.toml @@ -9,7 +9,7 @@ description = "Dory commitment scheme implementation for the Jolt zkVM" workspace = true [dependencies] -jolt-crypto = { workspace = true } +jolt-crypto = { workspace = true, features = ["bn254"] } jolt-field = { workspace = true } jolt-openings = { workspace = true } jolt-poly = { workspace = true } diff --git a/crates/jolt-field/Cargo.toml b/crates/jolt-field/Cargo.toml index 0d9be80529..32714886e0 100644 --- a/crates/jolt-field/Cargo.toml +++ b/crates/jolt-field/Cargo.toml @@ -15,6 +15,7 @@ ignored = ["cc", "allocative"] workspace = true [dependencies] +jolt-riscv = { workspace = true, features = ["field-inline"], optional = true } ark-ff = { workspace = true, optional = true } ark-serialize = { workspace = true, optional = true } ark-bn254 = { workspace = true, features = ["curve"], optional = true } @@ -42,6 +43,13 @@ spongefish = ["dep:spongefish"] bytemuck = ["dep:bytemuck"] fp128-proof-linkage = ["asm"] fp64-proof-linkage = [] +# Guest arithmetic on the field-inline unit (see `field_inline`), which computes in +# one field: a guest selects it with `-bn254` (`Fr`) or `-fp128` +# (`Prime128OffsetA7F7`); other fields keep software arithmetic. +# Internal: enable through exactly one field selector below. +field-inline-guest = ["dep:jolt-riscv"] +field-inline-guest-bn254 = ["field-inline-guest"] +field-inline-guest-fp128 = ["field-inline-guest"] [dev-dependencies] # The spine test's oracle field must satisfy `JoltField`, which requires diff --git a/crates/jolt-field/src/algebra.rs b/crates/jolt-field/src/algebra.rs index 7e9720a20b..d8ce36a0d4 100644 --- a/crates/jolt-field/src/algebra.rs +++ b/crates/jolt-field/src/algebra.rs @@ -159,11 +159,41 @@ pub trait Ring: } } +/// The software fold behind [`Field::signed_sum`]. +#[inline] +pub(crate) fn signed_sum_fold<'a, F: Ring + 'a>( + terms: impl IntoIterator, +) -> F { + terms + .into_iter() + .fold(::zero(), |acc, (term, negative)| { + if negative { + acc - *term + } else { + acc + *term + } + }) +} + +/// The software fold behind [`Field::sum_of_products`]. +#[inline] +pub(crate) fn sum_of_products_fold(terms: &[[F; K]]) -> F { + terms.iter().fold(::zero(), |acc, factors| { + acc + match factors.split_first() { + Some((first, rest)) => rest + .iter() + .fold(*first, |product, factor| product * *factor), + None => ::one(), + } + }) +} + pub trait Field: Ring { /// Multiplicative inverse, or `None` for the zero element. fn inverse(&self) -> Option; - /// `Σ a[i]·b[i]` over the shorter of the two slices. + /// `Σ a[i]·b[i]` over the shorter of the two slices. Fields with a batched + /// guest path (register-resident field-inline accumulation) override this. #[inline] fn dot_product(a: &[Self], b: &[Self]) -> Self { a.iter() @@ -172,34 +202,21 @@ pub trait Field: Ring { } /// `Σ ±terms[i]`: each term is subtracted when its flag is set and added - /// otherwise. + /// otherwise. Fields with a batched guest path (a register-resident sum + /// read out once) override this. #[inline] fn signed_sum<'a>(terms: impl IntoIterator) -> Self where Self: 'a, { - terms - .into_iter() - .fold(::zero(), |acc, (term, negative)| { - if negative { - acc - *term - } else { - acc + *term - } - }) + signed_sum_fold(terms) } - /// `Σ_i Π_k terms[i][k]`, an empty product being one. + /// `Σ_i Π_k terms[i][k]`, an empty product being one. Fields with a + /// batched guest path (register-resident products and sum) override this. #[inline] fn sum_of_products(terms: &[[Self; K]]) -> Self { - terms.iter().fold(::zero(), |acc, factors| { - acc + match factors.split_first() { - Some((first, rest)) => rest - .iter() - .fold(*first, |product, factor| product * *factor), - None => ::one(), - } - }) + sum_of_products_fold(terms) } /// Multiplicative inverse with zero mapped to zero. @@ -252,6 +269,34 @@ pub trait PseudoMersenne: Field + CanonicalEncoding { /// Offset `c` in `2^k − c`. const OFFSET: u128; + /// `Σ a[i]·b[i]` on a field-inline guest, with the sum register-resident + /// and one readout for the result; `None` where no such path exists (the + /// caller then folds in software). Fields the field-inline unit computes + /// in override this. + #[inline] + fn inline_dot(a: &[Self], b: &[Self]) -> Option { + let _ = (a, b); + None + } + + /// `Σ_i weights[i] · Σ_j rows[i][j]·pows[j]` on a field-inline guest with + /// the powers loaded once per block of rows and one hint for the total; + /// `None` where no such path exists. + #[inline] + fn inline_weighted_dot(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Option { + let _ = (rows, weights, pows); + None + } + + /// `out[i] = Σ_j rows[i][j]·shared[j]` on a field-inline guest with each + /// shared element loaded once per block of rows; `false` (and `out` + /// untouched) where no such path exists. + #[inline] + fn inline_dot_rows(rows: &[&[Self]], shared: &[Self], out: &mut [Self]) -> bool { + let _ = (rows, shared, out); + false + } + /// Quadratic extension multiply kernel in `Self[u]/(u² − NR)`, basis /// `[1, u]`. /// diff --git a/crates/jolt-field/src/bn254/mod.rs b/crates/jolt-field/src/bn254/mod.rs index d9bcc8b14e..93885a26c7 100644 --- a/crates/jolt-field/src/bn254/mod.rs +++ b/crates/jolt-field/src/bn254/mod.rs @@ -9,8 +9,14 @@ mod mont; pub use mont::{FrSignedProductAccumulator, FrSmallScalarAccumulator, WideAccumulator}; use crate::{CanonicalBytes, CanonicalEncoding, Field, NaiveAccumulator, Ring, WithAccumulator}; +use ark_bn254::{Fq as ArkFq, Fr as ArkFr}; use ark_ff::{BigInt, BigInteger, PrimeField, UniformRand}; use rand_core::RngCore; +#[cfg(any( + test, + all(feature = "field-inline-guest-bn254", target_arch = "riscv64") +))] +use {ark_ff::Fp, core::marker::PhantomData}; /// Bytes per chunk of [`reduce_le_bytes`]: 248 bits, below both 254-bit moduli. const CHUNK_BYTES: usize = 31; @@ -93,10 +99,10 @@ macro_rules! wrap_bn254 { } $crate::impl_ring_ops!(impl[] $ty { - add(a, b): $ty(a.0 + b.0), - sub(a, b): $ty(a.0 - b.0), - mul(a, b): $ty(a.0 * b.0), - neg(a): $ty(-a.0), + add(a, b): <$ty as $crate::bn254::InlineArith>::add(a, b), + sub(a, b): <$ty as $crate::bn254::InlineArith>::sub(a, b), + mul(a, b): <$ty as $crate::bn254::InlineArith>::mul(a, b), + neg(a): <$ty as $crate::bn254::InlineArith>::neg(a), zero: $ty(<$inner as ::num_traits::Zero>::zero()), one: $ty(<$inner as ::num_traits::One>::one()), }); @@ -120,7 +126,7 @@ macro_rules! wrap_bn254 { impl Field for $ty { #[inline] fn inverse(&self) -> Option { - <$inner as ark_ff::Field>::inverse(&self.0).map($ty) + <$ty as $crate::bn254::InlineArith>::inverse(*self) } #[inline] @@ -241,14 +247,14 @@ macro_rules! wrap_bn254 { wrap_bn254!( /// BN254 scalar field element (`#[repr(transparent)]` over `ark_bn254::Fr`). Fr, - ark_bn254::Fr, + ArkFr, accumulators(WideAccumulator, FrSmallScalarAccumulator, FrSignedProductAccumulator) ); wrap_bn254!( /// BN254 base field element (`#[repr(transparent)]` over `ark_bn254::Fq`). Fq, - ark_bn254::Fq, + ArkFq, accumulators(NaiveAccumulator, NaiveAccumulator, NaiveAccumulator) ); @@ -356,3 +362,125 @@ impl Ring for Fq { Fq(ark_ff::Field::square(&self.0)) } } + +/// The ring-op bodies behind the `impl_field!` arithmetic: native arkworks +/// for `Fq` always, and for `Fr` unless the `field-inline-guest-bn254` +/// feature routes it through the field-inline path (`crate::field_inline`). +pub trait InlineArith: Sized { + fn add(a: Self, b: Self) -> Self; + fn sub(a: Self, b: Self) -> Self; + fn mul(a: Self, b: Self) -> Self; + fn neg(a: Self) -> Self; + fn inverse(a: Self) -> Option; +} + +impl InlineArith for Fq { + #[inline(always)] + fn add(a: Self, b: Self) -> Self { + Fq(a.0 + b.0) + } + #[inline(always)] + fn sub(a: Self, b: Self) -> Self { + Fq(a.0 - b.0) + } + #[inline(always)] + fn mul(a: Self, b: Self) -> Self { + Fq(a.0 * b.0) + } + #[inline(always)] + fn neg(a: Self) -> Self { + Fq(-a.0) + } + #[inline(always)] + fn inverse(a: Self) -> Option { + ::inverse(&a.0).map(Fq) + } +} + +#[cfg(not(all(feature = "field-inline-guest-bn254", target_arch = "riscv64")))] +impl InlineArith for Fr { + #[inline(always)] + fn add(a: Self, b: Self) -> Self { + Fr(a.0 + b.0) + } + #[inline(always)] + fn sub(a: Self, b: Self) -> Self { + Fr(a.0 - b.0) + } + #[inline(always)] + fn mul(a: Self, b: Self) -> Self { + Fr(a.0 * b.0) + } + #[inline(always)] + fn neg(a: Self) -> Self { + Fr(-a.0) + } + #[inline(always)] + fn inverse(a: Self) -> Option { + ::inverse(&a.0).map(Fr) + } +} + +/// The guest field path: raw Montgomery limbs in, checked Montgomery limbs out +/// (see `crate::field_inline` for the representation argument). +#[cfg(any( + test, + all(feature = "field-inline-guest-bn254", target_arch = "riscv64") +))] +impl Fr { + #[inline(always)] + fn from_inline_limbs(limbs: [u64; 4]) -> Self { + let raw = BigInt(limbs); + // Montgomery storage is also canonical: allowing f + p breaks limb operations. + assert!(raw < ArkFr::MODULUS, "noncanonical field-inline result"); + Fr(Fp(raw, PhantomData)) + } +} + +#[cfg(all(feature = "field-inline-guest-bn254", target_arch = "riscv64"))] +impl InlineArith for Fr { + fn add(a: Self, b: Self) -> Self { + Fr::from_inline_limbs(crate::field_inline::add(&a.inner_limbs(), &b.inner_limbs())) + } + fn sub(a: Self, b: Self) -> Self { + Fr::from_inline_limbs(crate::field_inline::sub(&a.inner_limbs(), &b.inner_limbs())) + } + fn mul(a: Self, b: Self) -> Self { + Fr::from_inline_limbs(crate::field_inline::mul( + &a.inner_limbs(), + &b.inner_limbs(), + true, + )) + } + fn neg(a: Self) -> Self { + Fr::from_inline_limbs(crate::field_inline::neg(&a.inner_limbs())) + } + fn inverse(a: Self) -> Option { + if a.inner_limbs() == [0; 4] { + return None; + } + Some(Fr::from_inline_limbs(crate::field_inline::inv( + &a.inner_limbs(), + true, + ))) + } +} + +#[cfg(test)] +mod inline_readout_tests { + use super::*; + + #[test] + fn inline_readout_accepts_canonical_boundaries() { + assert_eq!(Fr::from_inline_limbs([0; 4]).inner_limbs(), [0; 4]); + let mut largest = ArkFr::MODULUS.0; + largest[0] -= 1; + assert_eq!(Fr::from_inline_limbs(largest).inner_limbs(), largest); + } + + #[test] + #[should_panic(expected = "noncanonical field-inline result")] + fn inline_readout_rejects_modulus_as_zero() { + let _ = Fr::from_inline_limbs(ArkFr::MODULUS.0); + } +} diff --git a/crates/jolt-field/src/extension.rs b/crates/jolt-field/src/extension.rs index 1997bbfd79..fe45523717 100644 --- a/crates/jolt-field/src/extension.rs +++ b/crates/jolt-field/src/extension.rs @@ -93,17 +93,10 @@ pub trait MulBaseUnreduced: ExtField + Unreduced { self.mul_unreduced(Self::lift_base(x)) } - /// `Σ pows[i]·coeffs[i]` (extension times base) over the shorter of the - /// two slices, reduced once. + /// `Σ pows[i]·coeffs[i]` (extension times base), reduced once. #[inline] fn dot_base(pows: &[Self], coeffs: &[F]) -> Self { - let accum = pows - .iter() - .zip(coeffs) - .fold(::zero(), |acc, (pow, coeff)| { - acc + pow.mul_base_unreduced(*coeff) - }); - Self::reduce_product(accum) + dot_base_fold(pows, coeffs) } /// `Σ_i weights[i] · Σ_j rows[i][j]·pows[j]`: each row's dot product with @@ -112,15 +105,10 @@ pub trait MulBaseUnreduced: ExtField + Unreduced { /// # Panics /// /// Panics unless `rows` and `weights` have equal lengths and every row is - /// as long as `pows`. + /// as long as `pows`, on every path (the guest kernels require it). #[inline] fn weighted_dot_base_rows(rows: &[&[F]], weights: &[Self], pows: &[Self]) -> Self { - assert_row_shapes(rows, weights.len(), pows.len()); - rows.iter() - .zip(weights) - .fold(::zero(), |acc, (row, weight)| { - acc + *weight * Self::dot_base(pows, row) - }) + weighted_dot_base_rows_fold(rows, weights, pows) } /// `out[i] = Σ_j pows[j]·rows[i][j]`: each row's dot product with the @@ -129,13 +117,10 @@ pub trait MulBaseUnreduced: ExtField + Unreduced { /// # Panics /// /// Panics unless `out` and `rows` have equal lengths and every row is as - /// long as `pows`. + /// long as `pows`, on every path (the guest kernels require it). #[inline] fn dot_base_rows(pows: &[Self], rows: &[&[F]], out: &mut [Self]) { - assert_row_shapes(rows, out.len(), pows.len()); - for (slot, row) in out.iter_mut().zip(rows) { - *slot = Self::dot_base(pows, row); - } + dot_base_rows_fold(pows, rows, out, Self::dot_base); } } @@ -148,8 +133,66 @@ fn assert_row_shapes(rows: &[&[F]], per_row: usize, width: usize) { ); } +/// The fold behind [`MulBaseUnreduced::dot_base_rows`]. +#[inline] +fn dot_base_rows_fold>( + pows: &[E], + rows: &[&[F]], + out: &mut [E], + dot: impl Fn(&[E], &[F]) -> E, +) { + assert_row_shapes(rows, out.len(), pows.len()); + for (slot, row) in out.iter_mut().zip(rows) { + *slot = dot(pows, row); + } +} + +/// The fold behind [`MulBaseUnreduced::weighted_dot_base_rows`]. +#[inline] +pub(crate) fn weighted_dot_base_rows_fold>( + rows: &[&[F]], + weights: &[E], + pows: &[E], +) -> E { + assert_row_shapes(rows, weights.len(), pows.len()); + rows.iter() + .zip(weights) + .fold(::zero(), |acc, (row, weight)| { + acc + *weight * E::dot_base(pows, row) + }) +} + +/// The deferred-reduction fold behind [`MulBaseUnreduced::dot_base`]. +#[inline] +pub(crate) fn dot_base_fold>(pows: &[E], coeffs: &[F]) -> E { + let accum = pows.iter().zip(coeffs).fold( + <::Product as Zero>::zero(), + |acc, (pow, coeff)| acc + pow.mul_base_unreduced(*coeff), + ); + E::reduce_product(accum) +} + /// A base field is its own degree-1 extension; the default body is exact. -impl> MulBaseUnreduced for F {} +impl> MulBaseUnreduced for F { + /// Takes the field-inline register-resident path when the field has one. + #[inline] + fn dot_base(pows: &[Self], coeffs: &[F]) -> Self { + F::inline_dot(pows, coeffs).unwrap_or_else(|| dot_base_fold(pows, coeffs)) + } + + #[inline] + fn weighted_dot_base_rows(rows: &[&[F]], weights: &[Self], pows: &[Self]) -> Self { + F::inline_weighted_dot(rows, weights, pows) + .unwrap_or_else(|| weighted_dot_base_rows_fold(rows, weights, pows)) + } + + #[inline] + fn dot_base_rows(pows: &[Self], rows: &[&[F]], out: &mut [Self]) { + if !F::inline_dot_rows(rows, pows, out) { + dot_base_rows_fold(pows, rows, out, dot_base_fold); + } + } +} /// Arithmetic form of an [`Ext2Config`] non-residue. /// diff --git a/crates/jolt-field/src/field_inline.rs b/crates/jolt-field/src/field_inline.rs new file mode 100644 index 0000000000..ca4894c6c5 --- /dev/null +++ b/crates/jolt-field/src/field_inline.rs @@ -0,0 +1,654 @@ +//! Field-inline guest arithmetic. +//! +//! On a RISC-V guest that selects the field its field-inline unit computes in +//! (`field-inline-guest-bn254` for [`crate::Fr`], `field-inline-guest-fp128` +//! for [`Fp128`]), that field's ring operations execute as field-inline +//! instructions instead of software limb arithmetic: operands +//! enter a cleared register through `FIELD_LOAD_ACCUMULATE_FROM_MEMORY`, the +//! operation runs as one instruction, and the result leaves through +//! `FIELD_ADVICE_LIMB` (one range-bound low limb per row, the quotient staying +//! in the register file) closed by `FIELD_ASSERT_ZERO`. These relations bind +//! the result modulo the field characteristic. The field wrappers check +//! that the returned integer is below the modulus before using it. +//! +//! The routed field's arithmetic owns field registers 1 through 14 (the BN254 +//! Montgomery constants stay in 1 and 2 for the whole run); guest code that +//! also emits field-inline instructions must not write them. +//! +//! The unit's modulus is fixed by the tracer. At boot, before any field +//! arithmetic, a guest proves it is the selected field's modulus +//! ([`crate::bind_field_inline_modulus`], which jolt-sdk's std runtime calls +//! from `__platform_bootstrap`). A guest whose selector names a different field +//! than the tracer's unit therefore fails at trace time instead of computing +//! wrong results that still read out canonically. The selectors are exclusive +//! (a compile error otherwise), so a guest binds one modulus. A guest booted +//! without jolt-sdk's runtime must call the binding itself before its first +//! field operation. +//! +//! `Fr` keeps its Montgomery representation: a raw limb vector `aR` loaded +//! as a field element differs from `a` by the constant `R`, which +//! multiplication and inversion correct with one extra field-inline +//! multiplication (`abR² · R⁻¹`, `(aR)⁻¹ · R²`); addition and subtraction are +//! representation-transparent. `Fp128` is stored canonically and needs no +//! correction. + +use core::sync::atomic::{AtomicBool, Ordering}; + +use jolt_riscv::{FieldInlineOp, FIELD_INLINE_OPCODE}; + +pub const OPCODE: u32 = FIELD_INLINE_OPCODE as u32; +pub const FUNCT3_ADD: u32 = FieldInlineOp::Add.funct3() as u32; +pub const FUNCT3_SUB: u32 = FieldInlineOp::Sub.funct3() as u32; +pub const FUNCT3_MUL: u32 = FieldInlineOp::Mul.funct3() as u32; +pub const FUNCT3_INV: u32 = FieldInlineOp::Inv.funct3() as u32; +pub const FUNCT3_LOAD_ACCUMULATE: u32 = FieldInlineOp::LoadAccumulateFromMemory.funct3() as u32; +pub const FUNCT3_ADVICE_LIMB: u32 = FieldInlineOp::AdviceLimb.funct3() as u32; +pub const FUNCT3_LOAD_IMM: u32 = FieldInlineOp::LoadImm.funct3() as u32; + +const fn r_word(funct3: u32, rd: u32, rs1: u32, rs2: u32) -> u32 { + OPCODE | (rd << 7) | (funct3 << 12) | (rs1 << 15) | (rs2 << 20) +} + +const fn i_word(funct3: u32, rd: u32, imm: u32) -> u32 { + OPCODE | (rd << 7) | (funct3 << 12) | (imm << 20) +} + +// Field register map for the hinted ops. Constants live in low registers for +// the whole run; each operation uses the scratch registers above them. +const REG_RINV: u32 = 1; // BN254 R^-1 (Montgomery product correction) +const REG_R2: u32 = 2; // BN254 R^2 (Montgomery inverse correction) +const REG_ZERO: u32 = 3; +const REG_A: u32 = 4; +const REG_B: u32 = 5; +/// The two registers the limb readout alternates its quotients through. +const REG_SCRATCH_A: u32 = 6; +const REG_OUT: u32 = 7; +const REG_SCRATCH_B: u32 = 8; +/// Running sum of a register-resident dot product. +const REG_ACC: u32 = 9; +/// The weighted-rows kernel keeps one accumulator per row of a block in +/// registers 9..=13 and the weighted total in 14. +const REG_SUM: u32 = 14; +/// Rows per block of the weighted-rows kernel (registers 9..=13). +pub const WEIGHTED_ROWS_BLOCK: usize = 5; + +/// BN254 scalar-field Montgomery constants as canonical little-endian limbs. +const BN254_RINV: [u64; 4] = [ + 0xdc5b_a005_6db1_194e, + 0x090e_f5a9_e111_ec87, + 0xc826_0de4_aeb8_5d5d, + 0x15eb_f951_82c5_551c, +]; +const BN254_R2: [u64; 4] = [ + 0x1bb8_e645_ae21_6da7, + 0x53fe_3ab1_e35c_59e3, + 0x8c49_833d_53bb_8085, + 0x0216_d0b1_7f4e_44a5, +]; + +// Guest instruction emitters. +mod emit { + use super::*; + + macro_rules! fixed { + ($w:expr) => { + // SAFETY: one fixed field-inline word; no Rust memory is touched. + unsafe { + core::arch::asm!(".word {w}", w = const $w, options(nostack)); + } + }; + } + + /// Accumulate one word into a destination previously cleared by `clear`. + #[inline(always)] + pub fn load_accumulate(dst: u32, offset: usize, base: *const u64) { + macro_rules! word { + ($rd:expr, $offset:expr) => { + // SAFETY: the pointer addresses a live limb; the integer output is scratch. + unsafe { + core::arch::asm!( + ".insn r {opcode}, {funct3}, {funct7}, {scratch}, {base}, x{field}", + opcode = const OPCODE, + funct3 = const FUNCT3_LOAD_ACCUMULATE, + funct7 = const jolt_riscv::field_inline_load_accumulate_from_memory_funct7($offset), + field = const $rd, + base = in(reg) base, + scratch = lateout(reg) _, + options(nostack, readonly), + ); + } + }; + } + macro_rules! limbs { + ($rd:expr) => { + match offset { + 0 => word!($rd, 0), + 1 => word!($rd, 1), + 2 => word!($rd, 2), + 3 => word!($rd, 3), + _ => unreachable!("field limb offset"), + } + }; + } + match dst { + REG_RINV => limbs!(REG_RINV), + REG_R2 => limbs!(REG_R2), + REG_A => limbs!(REG_A), + REG_B => limbs!(REG_B), + _ => unreachable!("field load destination"), + } + } + + #[inline(always)] + pub fn clear(dst: u32) { + match dst { + REG_RINV => fixed!(i_word(FUNCT3_LOAD_IMM, REG_RINV, 0)), + REG_R2 => fixed!(i_word(FUNCT3_LOAD_IMM, REG_R2, 0)), + REG_A => fixed!(i_word(FUNCT3_LOAD_IMM, REG_A, 0)), + REG_B => fixed!(i_word(FUNCT3_LOAD_IMM, REG_B, 0)), + _ => unreachable!("field load destination"), + } + } + + /// Supply a 64-bit limb with `quotient = (src − limb) / 2^64` over field registers. + /// The honest tracer chooses the canonical low limb. This row alone + /// does not enforce that choice. + #[inline(always)] + pub fn advice_limb(src: u32, quotient: u32) -> u64 { + macro_rules! word { + ($src:expr, $quotient:expr) => {{ + let low: u64; + // SAFETY: one field-inline word, with a compiler-allocated integer output. + unsafe { + core::arch::asm!( + ".insn r {opcode}, {funct3}, {funct7}, {low}, x{src}, x{quotient}", + opcode = const OPCODE, funct3 = const FUNCT3_ADVICE_LIMB, + funct7 = const match FieldInlineOp::AdviceLimb.funct7() { Some(value) => value, None => panic!("advice encoding") }, + src = const $src, quotient = const $quotient, + low = lateout(reg) low, options(nostack, nomem), + ); + } + low + }}; + } + macro_rules! sources { + ($quotient:expr) => { + match src { + REG_OUT => word!(REG_OUT, $quotient), + REG_ACC => word!(REG_ACC, $quotient), + 10 => word!(10, $quotient), + 11 => word!(11, $quotient), + 12 => word!(12, $quotient), + 13 => word!(13, $quotient), + REG_SUM => word!(REG_SUM, $quotient), + REG_SCRATCH_A => word!(REG_SCRATCH_A, $quotient), + REG_SCRATCH_B => word!(REG_SCRATCH_B, $quotient), + _ => unreachable!("field readout source"), + } + }; + } + match quotient { + REG_SCRATCH_A => sources!(REG_SCRATCH_A), + REG_SCRATCH_B => sources!(REG_SCRATCH_B), + _ => unreachable!("field readout quotient"), + } + } + + /// Constrain a register to zero: a readout's remaining quotient, or the + /// modulus a run binds in `REG_A`. + #[inline(always)] + pub fn assert_zero(src: u32) { + macro_rules! word { + ($src:expr) => { + fixed!( + r_word(FieldInlineOp::AssertZero.funct3() as u32, 0, $src, 0) + | ((match FieldInlineOp::AssertZero.funct7() { + Some(value) => value as u32, + None => panic!("zero assertion encoding"), + }) << 25) + ) + }; + } + match src { + REG_A => word!(REG_A), + REG_SCRATCH_A => word!(REG_SCRATCH_A), + REG_SCRATCH_B => word!(REG_SCRATCH_B), + _ => unreachable!("zero-asserted register"), + } + } + + #[inline(always)] + pub fn load_imm_zero() { + fixed!(i_word(FUNCT3_LOAD_IMM, REG_ZERO, 0)); + } + #[inline(always)] + pub fn add_out() { + fixed!(r_word(FUNCT3_ADD, REG_OUT, REG_A, REG_B)); + } + #[inline(always)] + pub fn sub_out() { + fixed!(r_word(FUNCT3_SUB, REG_OUT, REG_A, REG_B)); + } + #[inline(always)] + pub fn neg_out() { + fixed!(r_word(FUNCT3_SUB, REG_OUT, REG_ZERO, REG_A)); + } + #[inline(always)] + pub fn mul_out() { + fixed!(r_word(FUNCT3_MUL, REG_OUT, REG_A, REG_B)); + } + #[inline(always)] + pub fn mul_out_rinv() { + fixed!(r_word(FUNCT3_MUL, REG_OUT, REG_OUT, REG_RINV)); + } + #[inline(always)] + pub fn inv_out() { + fixed!(r_word(FUNCT3_INV, REG_OUT, REG_A, 0)); + } + #[inline(always)] + pub fn mul_out_r2() { + fixed!(r_word(FUNCT3_MUL, REG_OUT, REG_OUT, REG_R2)); + } + #[inline(always)] + pub fn acc_zero() { + fixed!(i_word(FUNCT3_LOAD_IMM, REG_ACC, 0)); + } + /// `OUT = OUT * A`. + #[inline(always)] + pub fn mul_out_out_a() { + fixed!(r_word(FUNCT3_MUL, REG_OUT, REG_OUT, REG_A)); + } + #[inline(always)] + pub fn acc_add_out() { + fixed!(r_word(FUNCT3_ADD, REG_ACC, REG_ACC, REG_OUT)); + } + #[inline(always)] + pub fn acc_add_a() { + fixed!(r_word(FUNCT3_ADD, REG_ACC, REG_ACC, REG_A)); + } + #[inline(always)] + pub fn acc_sub_a() { + fixed!(r_word(FUNCT3_SUB, REG_ACC, REG_ACC, REG_A)); + } + /// Zero row accumulator `k` (registers 9..=13). + #[inline(always)] + pub fn row_acc_zero(k: usize) { + match k { + 0 => fixed!(i_word(FUNCT3_LOAD_IMM, 9, 0)), + 1 => fixed!(i_word(FUNCT3_LOAD_IMM, 10, 0)), + 2 => fixed!(i_word(FUNCT3_LOAD_IMM, 11, 0)), + 3 => fixed!(i_word(FUNCT3_LOAD_IMM, 12, 0)), + _ => fixed!(i_word(FUNCT3_LOAD_IMM, 13, 0)), + } + } + /// `acc_k += OUT`. + #[inline(always)] + pub fn row_acc_add_out(k: usize) { + match k { + 0 => fixed!(r_word(FUNCT3_ADD, 9, 9, REG_OUT)), + 1 => fixed!(r_word(FUNCT3_ADD, 10, 10, REG_OUT)), + 2 => fixed!(r_word(FUNCT3_ADD, 11, 11, REG_OUT)), + 3 => fixed!(r_word(FUNCT3_ADD, 12, 12, REG_OUT)), + _ => fixed!(r_word(FUNCT3_ADD, 13, 13, REG_OUT)), + } + } + /// `OUT = acc_k * B`. + #[inline(always)] + pub fn mul_out_row_acc_b(k: usize) { + match k { + 0 => fixed!(r_word(FUNCT3_MUL, REG_OUT, 9, REG_B)), + 1 => fixed!(r_word(FUNCT3_MUL, REG_OUT, 10, REG_B)), + 2 => fixed!(r_word(FUNCT3_MUL, REG_OUT, 11, REG_B)), + 3 => fixed!(r_word(FUNCT3_MUL, REG_OUT, 12, REG_B)), + _ => fixed!(r_word(FUNCT3_MUL, REG_OUT, 13, REG_B)), + } + } + #[inline(always)] + pub fn sum_zero() { + fixed!(i_word(FUNCT3_LOAD_IMM, REG_SUM, 0)); + } + #[inline(always)] + pub fn sum_add_out() { + fixed!(r_word(FUNCT3_ADD, REG_SUM, REG_SUM, REG_OUT)); + } +} + +mod guest { + use super::*; + + static READY: AtomicBool = AtomicBool::new(false); + + /// Prove that the unit computes modulo `modulus`. Accumulating the + /// modulus into a cleared register leaves `modulus mod p_unit`, and + /// asserting zero proves that `p_unit` divides it; both are prime, so they + /// are equal. + pub fn bind_modulus(modulus: &[u64; N]) { + load(REG_A, modulus); + emit::assert_zero(REG_A); + } + + /// Set while [`signed_sum`] holds its partial sum in `REG_ACC` and runs + /// caller code (its iterator). The accumulating kernels share that + /// register, so field dispatch must not enter them meanwhile (see + /// [`accumulators_free`]). + static ACC_LENT: AtomicBool = AtomicBool::new(false); + + /// Whether the accumulating kernels ([`dot`], [`dot_rows`], + /// [`weighted_dot_rows`], [`sum_of_products`], [`signed_sum`]) may run: + /// false inside a [`signed_sum`] iterator, where they would overwrite its + /// partial sum. Callers take their software path then. + #[inline(always)] + pub fn accumulators_free() -> bool { + !ACC_LENT.load(Ordering::Relaxed) + } + + /// Horner ingress starts at zero, then accumulates limbs from most significant to least. + #[inline(always)] + fn load(dst: u32, limbs: &[u64; N]) { + assert!(N > 0 && N <= 4, "supported field limb count"); + emit::clear(dst); + for i in (0..N).rev() { + emit::load_accumulate(dst, i, limbs.as_ptr()); + } + } + + #[inline(always)] + fn ensure_montgomery_constants() { + if READY.load(Ordering::Relaxed) { + return; + } + load(REG_RINV, &BN254_RINV); + load(REG_R2, &BN254_R2); + READY.store(true, Ordering::Relaxed); + } + + /// Read all `N` limbs, then require the final quotient to vanish. + /// The caller must reject integers at or above the active field modulus. + #[inline(always)] + fn read_out(src: u32) -> [u64; N] { + let mut limbs = [0u64; N]; + let mut current = src; + for limb in limbs.iter_mut() { + let quotient = if current == REG_SCRATCH_A { + REG_SCRATCH_B + } else { + REG_SCRATCH_A + }; + *limb = emit::advice_limb(current, quotient); + current = quotient; + } + emit::assert_zero(current); + limbs + } + + #[inline(always)] + fn finish() -> [u64; N] { + read_out(REG_OUT) + } + + #[inline(always)] + pub fn add(a: &[u64; N], b: &[u64; N]) -> [u64; N] { + load(REG_A, a); + load(REG_B, b); + emit::add_out(); + finish() + } + #[inline(always)] + pub fn sub(a: &[u64; N], b: &[u64; N]) -> [u64; N] { + load(REG_A, a); + load(REG_B, b); + emit::sub_out(); + finish() + } + #[inline(always)] + pub fn neg(a: &[u64; N]) -> [u64; N] { + emit::load_imm_zero(); + load(REG_A, a); + emit::neg_out(); + finish() + } + /// `montgomery`: correct the product of two Montgomery representatives by R⁻¹. + #[inline(always)] + pub fn mul(a: &[u64; N], b: &[u64; N], montgomery: bool) -> [u64; N] { + load(REG_A, a); + load(REG_B, b); + emit::mul_out(); + if montgomery { + ensure_montgomery_constants(); + emit::mul_out_rinv(); + } + finish() + } + /// `Σ a[i]·b[i]` with the running sum resident in the field register file: + /// operands are loaded once each and only the final sum is read out, so a + /// length-`k` dot product costs `k` multiplies and one readout instead of + /// `k` multiplies and `k − 1` additions each read out. + /// Canonical (non-Montgomery) limbs only. + #[inline(always)] + pub fn dot(a: &[[u64; N]], b: &[[u64; N]]) -> [u64; N] { + emit::acc_zero(); + let len = a.len().min(b.len()); + let mut a = a[..len].chunks_exact(4); + let mut b = b[..len].chunks_exact(4); + for (xs, ys) in a.by_ref().zip(b.by_ref()) { + for k in 0..4 { + load(REG_A, &xs[k]); + load(REG_B, &ys[k]); + emit::mul_out(); + emit::acc_add_out(); + } + } + for (x, y) in a.remainder().iter().zip(b.remainder()) { + load(REG_A, x); + load(REG_B, y); + emit::mul_out(); + emit::acc_add_out(); + } + read_out(REG_ACC) + } + + /// `Σ ±terms[i]` with the sum register-resident: each term costs its + /// ingress and one add or subtract, and only the result is read out. + /// Canonical limbs only. The accumulators are lent out until the readout, + /// so the iterator, including its drop, may use field arithmetic, whose + /// accumulating kernels then run in software. + #[inline(always)] + pub fn signed_sum<'a, const N: usize>( + terms: impl IntoIterator, + ) -> [u64; N] { + assert!( + ACC_LENT + .compare_exchange(false, true, Ordering::Acquire, Ordering::Relaxed) + .is_ok(), + "field accumulators are already lent" + ); + emit::acc_zero(); + for (term, negative) in terms { + load(REG_A, term); + if negative { + emit::acc_sub_a(); + } else { + emit::acc_add_a(); + } + } + let sum = read_out(REG_ACC); + ACC_LENT.store(false, Ordering::Release); + sum + } + + /// `Σ_i weights[i] · Σ_j rows[i][j]·pows[j]` with the row sums and the + /// weighted total register-resident and one readout for the result. Each + /// power is loaded once per block of [`WEIGHTED_ROWS_BLOCK`] rows, which + /// is what makes this cheaper than one [`dot`] per row: operand ingress, + /// not arithmetic, is the cost of a field-inline multiply-accumulate. + /// Canonical limbs; every row has `pows.len()` elements. + #[inline(always)] + pub fn weighted_dot_rows( + rows: &[&[[u64; N]]], + weights: &[[u64; N]], + pows: &[[u64; N]], + ) -> [u64; N] { + let len = pows.len(); + assert_eq!(rows.len(), weights.len(), "one weight per row"); + assert!( + rows.iter().all(|row| row.len() == len), + "every row has one element per power" + ); + // One block's row pointers stay in scalar registers and the element + // index is the only loop state: the scalar bookkeeping around each + // field-inline word costs as much as the word itself, so the inner + // loop is unrolled per block width and indexes without bounds checks. + macro_rules! accumulate_block { + ($($row:ident => $k:literal),+) => { + for j in 0..len { + // SAFETY: `j < len`, and every row has `len` elements + // (asserted above). + unsafe { + load(REG_A, pows.get_unchecked(j)); + $( + load(REG_B, $row.get_unchecked(j)); + emit::mul_out(); + emit::row_acc_add_out($k); + )+ + } + } + }; + } + const _: () = assert!( + WEIGHTED_ROWS_BLOCK == 5, + "the block arms below are five wide" + ); + emit::sum_zero(); + for (block_rows, block_weights) in rows + .chunks(WEIGHTED_ROWS_BLOCK) + .zip(weights.chunks(WEIGHTED_ROWS_BLOCK)) + { + for k in 0..block_rows.len() { + emit::row_acc_zero(k); + } + match block_rows { + [r0, r1, r2, r3, r4] => { + accumulate_block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3, r4 => 4) + } + [r0, r1, r2, r3] => accumulate_block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3), + [r0, r1, r2] => accumulate_block!(r0 => 0, r1 => 1, r2 => 2), + [r0, r1] => accumulate_block!(r0 => 0, r1 => 1), + [r0] => accumulate_block!(r0 => 0), + // `chunks(WEIGHTED_ROWS_BLOCK)` yields one to five rows. + _ => {} + } + for (k, weight) in block_weights.iter().enumerate() { + load(REG_B, weight); + emit::mul_out_row_acc_b(k); + emit::sum_add_out(); + } + } + read_out(REG_SUM) + } + + /// `Σ_i Π_k terms[i][k]`, with each product formed in the field register + /// file and only the sum read out: `K` operand loads and `K - 1` + /// multiplies per term, no intermediate readout. Canonical limbs. + #[inline(always)] + pub fn sum_of_products(terms: &[[[u64; N]; K]]) -> [u64; N] { + emit::acc_zero(); + for factors in terms { + match factors.as_slice() { + [] => { + let mut one = [0u64; N]; + one[0] = 1; + load(REG_A, &one); + emit::acc_add_a(); + } + [only] => { + load(REG_A, only); + emit::acc_add_a(); + } + [first, second, rest @ ..] => { + load(REG_A, first); + load(REG_B, second); + emit::mul_out(); + for factor in rest { + load(REG_A, factor); + emit::mul_out_out_a(); + } + emit::acc_add_out(); + } + } + } + read_out(REG_ACC) + } + + /// `out[i] = Σ_j rows[i][j]·shared[j]`, each row sum register-resident + /// and read out once. Like [`weighted_dot_rows`], each shared element is + /// loaded once per block of [`WEIGHTED_ROWS_BLOCK`] rows. Canonical limbs; + /// every row has `shared.len()` elements and `out` has one slot per row. + #[inline(always)] + pub fn dot_rows( + rows: &[&[[u64; N]]], + shared: &[[u64; N]], + out: &mut [[u64; N]], + ) { + let len = shared.len(); + assert_eq!(rows.len(), out.len(), "one output per row"); + assert!( + rows.iter().all(|row| row.len() == len), + "every row has one element per shared operand" + ); + macro_rules! accumulate_block { + ($($row:ident => $k:literal),+) => { + for j in 0..len { + // SAFETY: `j < len`, and every row has `len` elements + // (asserted above). + unsafe { + load(REG_A, shared.get_unchecked(j)); + $( + load(REG_B, $row.get_unchecked(j)); + emit::mul_out(); + emit::row_acc_add_out($k); + )+ + } + } + }; + } + for (block_rows, block_out) in rows + .chunks(WEIGHTED_ROWS_BLOCK) + .zip(out.chunks_mut(WEIGHTED_ROWS_BLOCK)) + { + for k in 0..block_rows.len() { + emit::row_acc_zero(k); + } + match block_rows { + [r0, r1, r2, r3, r4] => { + accumulate_block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3, r4 => 4) + } + [r0, r1, r2, r3] => accumulate_block!(r0 => 0, r1 => 1, r2 => 2, r3 => 3), + [r0, r1, r2] => accumulate_block!(r0 => 0, r1 => 1, r2 => 2), + [r0, r1] => accumulate_block!(r0 => 0, r1 => 1), + [r0] => accumulate_block!(r0 => 0), + // `chunks(WEIGHTED_ROWS_BLOCK)` yields one to five rows. + _ => {} + } + for (k, slot) in block_out.iter_mut().enumerate() { + *slot = read_out(REG_ACC + k as u32); + } + } + } + + /// Caller guarantees `a != 0` (FIELD_INV traps on zero). + #[inline(always)] + pub fn inv(a: &[u64; N], montgomery: bool) -> [u64; N] { + load(REG_A, a); + emit::inv_out(); + if montgomery { + ensure_montgomery_constants(); + emit::mul_out_r2(); + } + finish() + } +} + +pub use guest::{ + accumulators_free, add, bind_modulus, dot, dot_rows, inv, mul, neg, signed_sum, sub, + sum_of_products, weighted_dot_rows, +}; diff --git a/crates/jolt-field/src/lib.rs b/crates/jolt-field/src/lib.rs index 761abf1088..a93150ef49 100644 --- a/crates/jolt-field/src/lib.rs +++ b/crates/jolt-field/src/lib.rs @@ -124,6 +124,36 @@ pub use algebra::{ Accumulator, AdditiveGroup, CanonicalBytes, CanonicalEncoding, Field, JoltField, MaybeAllocative, MaybeEncoding, NaiveAccumulator, PseudoMersenne, Ring, WithAccumulator, }; +#[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] +mod field_inline; + +/// Prove that the field-inline unit computes in the field this guest's +/// selector names, so that a guest built for one field cannot run under a +/// tracer for the other. jolt-sdk's std runtime calls this once at boot, +/// before `main`. Without a selector, or off a RISC-V guest, it does nothing. +pub fn bind_field_inline_modulus() { + #[cfg(all( + feature = "field-inline-guest-bn254", + feature = "bn254", + target_arch = "riscv64" + ))] + field_inline::bind_modulus(&Fr::MODULUS_LIMBS); + #[cfg(all( + feature = "field-inline-guest-fp128", + feature = "solinas", + target_arch = "riscv64" + ))] + field_inline::bind_modulus(&Prime128OffsetA7F7::MODULUS_LIMBS); +} +#[cfg(all( + feature = "field-inline-guest-bn254", + feature = "field-inline-guest-fp128", + target_arch = "riscv64" +))] +compile_error!( + "the field-inline unit computes in one field: enable field-inline-guest-bn254 or \ + field-inline-guest-fp128, not both" +); #[cfg(feature = "binary")] pub use binary::{F128, F192, F64, F8}; #[cfg(feature = "bn254")] diff --git a/crates/jolt-field/src/solinas/fp128.rs b/crates/jolt-field/src/solinas/fp128.rs index 0df5794e37..dfb0340d6d 100644 --- a/crates/jolt-field/src/solinas/fp128.rs +++ b/crates/jolt-field/src/solinas/fp128.rs @@ -18,6 +18,7 @@ //! use portable Rust. use super::word::mul64_wide; +use super::FIELD_INLINE_FP128_MODULUS; use crate::PseudoMersenne; use crate::{ CanonicalBytes, CanonicalEncoding, Field, Fp128Accumulator, Fp128SignedAccumulator, @@ -1018,7 +1019,7 @@ impl Fp128

{ crate::impl_ring_ops!(impl[const P: u128] Fp128

{ add(a, b): Fp128(Self::add_raw(a.0, b.0)), sub(a, b): Fp128(Self::sub_raw(a.0, b.0)), - mul(a, b): Fp128(Self::mul_raw(a.0, b.0)), + mul(a, b): Self::inline_mul(a, b), neg(a): Fp128(Self::sub_raw(pack(0, 0), a.0)), zero: Fp128(pack(0, 0)), // P > 1 is implied by the C asserts (odd and C(C+1) < P). @@ -1063,25 +1064,51 @@ impl Ring for Fp128

{ #[inline(always)] fn square(&self) -> Self { + // A guest that routes this field squares in one field-inline multiply. + if Self::FIELD_INLINE && cfg!(target_arch = "riscv64") { + return Self::inline_mul(*self, *self); + } Self(Self::sqr_raw(self.0)) } } impl Field for Fp128

{ - /// Accumulates the products unreduced and reduces once. #[inline] fn dot_product(a: &[Self], b: &[Self]) -> Self { >::dot_base(a, b) } + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + #[inline] + fn signed_sum<'a>(terms: impl IntoIterator) -> Self + where + Self: 'a, + { + if !Self::inline_accumulators() { + return crate::algebra::signed_sum_fold(terms); + } + Self::from_inline_limbs(crate::field_inline::signed_sum( + terms + .into_iter() + .map(|(term, negative)| (&term.0, negative)), + )) + } + + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + #[inline] + fn sum_of_products(terms: &[[Self; K]]) -> Self { + if !Self::inline_accumulators() { + return crate::algebra::sum_of_products_fold(terms); + } + // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`. + let terms: &[[[u64; 2]; K]] = + unsafe { core::slice::from_raw_parts(terms.as_ptr().cast(), terms.len()) }; + Self::from_inline_limbs(crate::field_inline::sum_of_products(terms)) + } + #[inline(always)] fn inverse(&self) -> Option { - let inv = self.inv_or_zero(); - if num_traits::Zero::is_zero(self) { - None - } else { - Some(inv) - } + Self::inline_inverse(*self) } /// Fermat inversion with branchless zero-masking. @@ -1188,6 +1215,98 @@ impl WithAccumulator for Fp128

{ impl PseudoMersenne for Fp128

{ const OFFSET: u128 = Self::C; + + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + fn inline_dot(a: &[Self], b: &[Self]) -> Option { + Self::inline_accumulators().then(|| Self::inline_dot_kernel(a, b)) + } + + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + fn inline_weighted_dot(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Option { + Self::inline_accumulators().then(|| Self::inline_weighted_dot_kernel(rows, weights, pows)) + } + + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + fn inline_dot_rows(rows: &[&[Self]], shared: &[Self], out: &mut [Self]) -> bool { + let inline = Self::inline_accumulators(); + if inline { + Self::inline_dot_rows_kernel(rows, shared, out); + } + inline + } +} + +impl Fp128

{ + /// Whether this field is the one the field-inline unit computes in: the + /// guest selected `field-inline-guest-fp128` and `P` is its modulus. + /// Routing any other `Fp128` through the unit would reduce modulo the + /// wrong prime. + const FIELD_INLINE: bool = + cfg!(feature = "field-inline-guest-fp128") && P == FIELD_INLINE_FP128_MODULUS; +} + +#[cfg(any(test, all(feature = "field-inline-guest", target_arch = "riscv64")))] +impl Fp128

{ + #[inline(always)] + #[expect( + clippy::expect_used, + reason = "invalid limb advice must abort the guest" + )] + fn from_inline_limbs(limbs: [u64; 2]) -> Self { + // Advice limbs determine only a residue until the integer is range checked. + Self::from_u128_checked(join(limbs)).expect("noncanonical field-inline result") + } +} + +#[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] +impl Fp128

{ + /// Whether the accumulating field-inline kernels serve this call: the + /// unit computes in this field and no `signed_sum` iterator holds them. + #[inline(always)] + fn inline_accumulators() -> bool { + Self::FIELD_INLINE && crate::field_inline::accumulators_free() + } + + fn inline_dot_kernel(a: &[Self], b: &[Self]) -> Self { + // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`. + let (a, b): (&[[u64; 2]], &[[u64; 2]]) = unsafe { + ( + core::slice::from_raw_parts(a.as_ptr().cast(), a.len()), + core::slice::from_raw_parts(b.as_ptr().cast(), b.len()), + ) + }; + Self::from_inline_limbs(crate::field_inline::dot(a, b)) + } + + fn inline_dot_rows_kernel(rows: &[&[Self]], shared: &[Self], out: &mut [Self]) { + assert_eq!(rows.len(), out.len(), "one output per row"); + // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`, so a slice + // of it, and a slice of such slices, have the limb slices' layout. + let rows: &[&[[u64; 2]]] = + unsafe { core::slice::from_raw_parts(rows.as_ptr().cast(), rows.len()) }; + let shared: &[[u64; 2]] = + unsafe { core::slice::from_raw_parts(shared.as_ptr().cast(), shared.len()) }; + let mut limbs = vec![[0u64; 2]; out.len()]; + crate::field_inline::dot_rows(rows, shared, &mut limbs); + for (slot, limbs) in out.iter_mut().zip(limbs) { + *slot = Self::from_inline_limbs(limbs); + } + } + + fn inline_weighted_dot_kernel(rows: &[&[Self]], weights: &[Self], pows: &[Self]) -> Self { + // SAFETY: `Fp128` is `repr(transparent)` over `[u64; 2]`, so a slice + // of it, and a slice of such slices, have the limb slices' layout. + let cast = |slice: &[Self]| -> &[[u64; 2]] { + unsafe { core::slice::from_raw_parts(slice.as_ptr().cast(), slice.len()) } + }; + let rows: &[&[[u64; 2]]] = + unsafe { core::slice::from_raw_parts(rows.as_ptr().cast(), rows.len()) }; + Self::from_inline_limbs(crate::field_inline::weighted_dot_rows( + rows, + cast(weights), + cast(pows), + )) + } } // Byte views for device buffers (`jolt-metal`). Upload is a byte copy; @@ -1311,14 +1430,57 @@ mod tests { } } +/// Multiplication and inversion: native Solinas arithmetic, or the +/// field-inline path on a RISC-V guest that routes this field (see +/// [`Self::FIELD_INLINE`]). Addition stays in software, where a two-limb add +/// costs about what a field-inline round trip does. +impl Fp128

{ + #[inline(always)] + fn inline_mul(a: Self, b: Self) -> Self { + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + if Self::FIELD_INLINE { + return Self::from_inline_limbs(crate::field_inline::mul(&a.0, &b.0, false)); + } + Fp128(Self::mul_raw(a.0, b.0)) + } + #[inline(always)] + fn inline_inverse(a: Self) -> Option { + use num_traits::Zero; + if Zero::is_zero(&a) { + return None; + } + #[cfg(all(feature = "field-inline-guest", target_arch = "riscv64"))] + if Self::FIELD_INLINE { + return Some(Self::from_inline_limbs(crate::field_inline::inv( + &a.0, false, + ))); + } + Some(a.inv_or_zero()) + } +} + #[cfg(test)] mod wide_tests { use super::*; - use crate::solinas::Prime128Offset275; + use crate::solinas::{Prime128Offset275, FIELD_INLINE_FP128_MODULUS as P}; use rand_chacha::ChaCha20Rng; use rand_core::RngCore; use rand_core::SeedableRng; + #[test] + fn inline_readout_accepts_canonical_boundaries() { + type F = Fp128

; + assert_eq!(F::from_inline_limbs([0; 2]).0, [0; 2]); + let largest = split(P - 1); + assert_eq!(F::from_inline_limbs(largest).0, largest); + } + + #[test] + #[should_panic(expected = "noncanonical field-inline result")] + fn inline_readout_rejects_modulus_as_zero() { + let _ = Fp128::

::from_inline_limbs(split(P)); + } + #[test] fn mul_wide_limbs_roundtrips_through_reduction() { type F = Prime128Offset275; diff --git a/crates/jolt-field/src/solinas/mod.rs b/crates/jolt-field/src/solinas/mod.rs index a61b7e209e..e7165853b6 100644 --- a/crates/jolt-field/src/solinas/mod.rs +++ b/crates/jolt-field/src/solinas/mod.rs @@ -153,7 +153,11 @@ pub type Prime128Offset275 = Fp128<{ pm(128, 275) }>; /// subgroup `3^7 = 2187`). The default protocol prime. Here `p ≡ 1 (mod 8)`, /// so neither `Ext2` (non-residue 2 or −1), `FpExt4` nor `FpExt8` over it is /// a field: use it at extension degree 1. -pub type Prime128OffsetA7F7 = Fp128<{ pm(128, 0xFFFF_A7F7) }>; +pub type Prime128OffsetA7F7 = Fp128; + +/// The modulus of [`Prime128OffsetA7F7`], the Fp128 field the field-inline +/// unit computes in under `field-inline-guest-fp128`. +pub(crate) const FIELD_INLINE_FP128_MODULUS: u128 = pm(128, 0xFFFF_A7F7); /// Builds the balanced signed-digit table for `1 <= log_basis <= 6`. pub fn balanced_digit_lut(log_basis: u32) -> [F; 64] { diff --git a/crates/jolt-host/src/program.rs b/crates/jolt-host/src/program.rs index 451f6eceb4..e175835deb 100644 --- a/crates/jolt-host/src/program.rs +++ b/crates/jolt-host/src/program.rs @@ -396,27 +396,39 @@ impl Program { (lazy_trace, trace, memory, jolt_device) } - /// Execute the program to completion without materializing trace rows - /// (the emulator's execute-only path). Returns the trace row count (the - /// number of rows `trace` would have produced). + /// Execute the program without materializing trace rows, returning the + /// number of rows `trace` would have produced. #[tracing::instrument(skip_all, name = "Program::execute")] + pub fn execute( + &mut self, + inputs: &[u8], + untrusted_advice: &[u8], + trusted_advice: &[u8], + ) -> usize { + self.execute_with_output(inputs, untrusted_advice, trusted_advice) + .0 + } + + /// Execute without storing trace rows, retaining the row count and device + /// output so callers can check guest acceptance and panic status. + #[tracing::instrument(skip_all, name = "Program::execute_with_output")] #[expect( clippy::expect_used, reason = "the infallible host execute API reports build and decode failures by panicking" )] - pub fn execute( + pub fn execute_with_output( &mut self, inputs: &[u8], untrusted_advice: &[u8], trusted_advice: &[u8], - ) -> usize { + ) -> (usize, JoltDevice) { let elf = self.built_elf(); let image = jolt_program::image::decode_elf(elf.bytes(), self.instruction_profile) .expect("program ELF decoding failed"); let memory_config = self.memory_config_with_program_size(image.program_end - RAM_START_ADDRESS); - let (executed_instructions, _, _) = tracer::execute( + let (trace_rows, device, _) = tracer::execute( elf.bytes(), Some(elf.path()), inputs, @@ -425,7 +437,7 @@ impl Program { &memory_config, None, ); - executed_instructions + (trace_rows, device) } #[tracing::instrument(skip_all, name = "Program::trace_to_file")] diff --git a/crates/jolt-kernels/src/reference/booleanity.rs b/crates/jolt-kernels/src/reference/booleanity.rs index f246b8ec35..018bcea4da 100644 --- a/crates/jolt-kernels/src/reference/booleanity.rs +++ b/crates/jolt-kernels/src/reference/booleanity.rs @@ -24,7 +24,9 @@ use std::collections::BTreeMap; use crate::ProverInputs; use jolt_claims::protocols::jolt::geometry::booleanity::BooleanityDimensions; +use jolt_claims::protocols::jolt::geometry::claim_reductions::hamming_weight::gamma_pow; use jolt_claims::protocols::jolt::{BooleanityPublic, JoltDerivedId, JoltRelationId}; +use jolt_claims::{Source, SymbolicSumcheck}; use jolt_field::JoltField; use jolt_poly::{try_eq_mle, BindingOrder, Polynomial, UnivariatePoly}; use jolt_sumcheck::{ProveRounds, SumcheckError}; @@ -268,6 +270,23 @@ impl PrepareKernel> for ReferenceBackend { Polynomial::new(address_fold(witness, opening, dimensions.log_t, r_address)?), ); } + let mut derived_tables = BTreeMap::new(); + for term in &relation.symbolic().output_expression::().terms { + for factor in &term.factors { + if let Source::Derived( + id @ JoltDerivedId::Booleanity(BooleanityPublic::GammaPow { exponent }), + ) = factor + { + let _ = derived_tables.entry(*id).or_insert_with(|| { + Polynomial::new(vec![ + gamma_pow(inputs.challenges.gamma, *exponent); + 1 << dimensions.log_t + ]) + }); + } + } + } + // The fixed address eq factor: both vectors pair positionally in the // verifier's `derive_output_term` (each side reversed, so the product // is the same either way). @@ -276,7 +295,7 @@ impl PrepareKernel> for ReferenceBackend { reason: "booleanity address point and reference length mismatch", } })?; - let derived_tables = BTreeMap::from([( + let _ = derived_tables.insert( JoltDerivedId::from(BooleanityPublic::EqAddressCycle), Polynomial::new( eq_table(reference_cycle) @@ -284,7 +303,7 @@ impl PrepareKernel> for ReferenceBackend { .map(|eq| address_scalar * eq) .collect::>(), ), - )]); + ); Ok(Box::new(NaiveSumcheckProver::new( &inputs, diff --git a/crates/jolt-kernels/src/reference/bytecode_read_raf.rs b/crates/jolt-kernels/src/reference/bytecode_read_raf.rs index 90797f2158..79eb8495c3 100644 --- a/crates/jolt-kernels/src/reference/bytecode_read_raf.rs +++ b/crates/jolt-kernels/src/reference/bytecode_read_raf.rs @@ -57,6 +57,8 @@ use crate::ProverInputs; use jolt_claims::protocols::field_inline::{ geometry::bytecode as field_inline_bytecode, FIELD_REGISTERS_LOG_K, }; +#[cfg(not(feature = "field-inline"))] +use jolt_claims::protocols::jolt::geometry::bytecode::challenge_pow; use jolt_claims::protocols::jolt::geometry::bytecode::{ bytecode_ra, read_raf_stage_values, BytecodeReadRafDimensions, BytecodeReadRafStageValueInputs, LATTICE_FUSED_INC_STAGES, @@ -69,7 +71,9 @@ use jolt_claims::protocols::jolt::geometry::dimensions::{ }; use jolt_claims::protocols::jolt::relations::bytecode::BytecodeReadRafAddressPhaseChallenges; #[cfg(not(feature = "field-inline"))] -use jolt_claims::protocols::jolt::{BytecodeReadRafPublic, JoltDerivedId}; +use jolt_claims::protocols::jolt::{ + BytecodeReadRafChallenge, BytecodeReadRafPublic, JoltDerivedId, +}; use jolt_claims::protocols::jolt::{JoltPolynomialId, JoltVirtualPolynomial}; #[cfg(not(feature = "field-inline"))] use jolt_claims::{Source, SymbolicSumcheck}; @@ -655,6 +659,31 @@ impl PrepareKernel> for ReferenceBacken JoltDerivedId::from(BytecodeReadRafPublic::Entry), Polynomial::new(entry_cycle), ); + // The batching-challenge powers the anchor expression folds + // under: constant tables. + for term in &relation.symbolic().output_expression::().terms { + for factor in &term.factors { + let Source::Derived(JoltDerivedId::BytecodeReadRaf( + BytecodeReadRafPublic::ChallengePow { + challenge: BytecodeReadRafChallenge::Gamma, + exponent, + }, + )) = factor + else { + continue; + }; + let _ = derived_tables.insert( + JoltDerivedId::from(BytecodeReadRafPublic::ChallengePow { + challenge: BytecodeReadRafChallenge::Gamma, + exponent: *exponent, + }), + Polynomial::new(vec![ + challenge_pow(inputs.challenges.gamma, *exponent); + cycles + ]), + ); + } + } Ok(Box::new(NaiveSumcheckProver::new( &inputs, diff --git a/crates/jolt-kernels/src/reference/hamming_weight_claim_reduction.rs b/crates/jolt-kernels/src/reference/hamming_weight_claim_reduction.rs index 73f4d4dbe9..45f878501e 100644 --- a/crates/jolt-kernels/src/reference/hamming_weight_claim_reduction.rs +++ b/crates/jolt-kernels/src/reference/hamming_weight_claim_reduction.rs @@ -14,6 +14,7 @@ use std::collections::BTreeMap; use crate::ProverInputs; +use jolt_claims::protocols::jolt::geometry::claim_reductions::hamming_weight::gamma_pow; use jolt_claims::protocols::jolt::{ HammingWeightClaimReductionPublic, JoltCommittedPolynomial, JoltDerivedId, JoltPolynomialId, JoltRelationId, @@ -111,6 +112,12 @@ impl PrepareKernel> for Referenc ) => virtualization_points .get(*index) .map(|point| vec![eq_at_digit_zero(point); k as usize]), + JoltDerivedId::HammingWeightClaimReduction( + HammingWeightClaimReductionPublic::GammaPow(exponent), + ) => Some(vec![ + gamma_pow(inputs.challenges.gamma, *exponent); + k as usize + ]), _ => None, }; if let Some(table) = table { diff --git a/crates/jolt-poly/src/mle.rs b/crates/jolt-poly/src/mle.rs index 5f95f0bc64..e9c3f20187 100644 --- a/crates/jolt-poly/src/mle.rs +++ b/crates/jolt-poly/src/mle.rs @@ -1,7 +1,7 @@ use jolt_field::JoltField; use thiserror::Error; -use crate::eq_index_msb; +use crate::{eq_index_msb, EqPolynomial}; #[derive(Clone, Debug, Error, PartialEq, Eq)] pub enum MleError { @@ -22,13 +22,35 @@ pub enum MleError { } pub fn sparse_mle_msb(start_index: u128, values: &[u64], point: &[F]) -> F { - values - .iter() - .enumerate() - .map(|(offset, value)| { - F::from_u64(*value) * eq_index_msb(point, start_index + offset as u128) - }) - .sum() + // Consecutive indices share their high bits: with `k` low bits, + // `eq(point, i) = eq(high, i >> k) · eq(low, i mod 2^k)`, so one low table + // serves every aligned block of `2^k` indices the run touches. + let Some(len_log2) = values.len().checked_ilog2() else { + return F::zero(); + }; + let low_bits = (len_log2 as usize).min(point.len()); + let (high_point, low_point) = point.split_at(point.len() - low_bits); + let low = EqPolynomial::::evals(low_point, None); + let mask = (1u128 << low_bits) - 1; + let mut sum = F::zero(); + let mut index = start_index; + let mut rest = values; + loop { + let low_start = (index & mask) as usize; + let (block, tail) = rest.split_at((low.len() - low_start).min(rest.len())); + let partial = block + .iter() + .zip(&low[low_start..]) + .fold(F::zero(), |acc, (value, eq)| acc + eq.mul_u64(*value)); + sum += eq_index_msb(high_point, index >> low_bits) * partial; + // Advance only past a block with a successor: a run may end at index + // `u128::MAX`. + if tail.is_empty() { + return sum; + } + index += block.len() as u128; + rest = tail; + } } pub fn sparse_segments_mle_msb<'a, F, I>(segments: I, point: &[F]) -> F @@ -167,6 +189,16 @@ mod tests { ); } + #[test] + fn sparse_mle_accepts_a_run_ending_at_the_last_u128_index() { + let point: Vec = (0..128).map(|i| Fr::from_u64(i + 2)).collect(); + let all_ones = point.iter().fold(Fr::one(), |acc, x| acc * x); + assert_eq!( + sparse_mle_msb(u128::MAX, &[7], &point), + all_ones * Fr::from_u64(7) + ); + } + #[test] fn sparse_mle_matches_explicit_sum() { let point = [Fr::from_u64(2), Fr::from_u64(3)]; @@ -178,6 +210,27 @@ mod tests { ); } + #[test] + fn sparse_mle_matches_dense_evaluation_across_blocks() { + let point: Vec = (2..8).map(Fr::from_u64).collect(); + let dense_eq = EqPolynomial::::evals(&point, None); + for (start, len) in [(0usize, 0usize), (0, 1), (5, 13), (3, 61), (60, 4)] { + let values: Vec = (0..len as u64).map(|i| 3 * i + 1).collect(); + let mut dense = vec![0u64; dense_eq.len()]; + dense[start..start + len].copy_from_slice(&values); + let expected = dense_eq + .iter() + .zip(&dense) + .map(|(eq, value)| *eq * Fr::from_u64(*value)) + .sum::(); + assert_eq!( + sparse_mle_msb(start as u128, &values, &point), + expected, + "{start} {len}" + ); + } + } + #[test] fn sparse_segments_mle_sums_segments() { let point = [Fr::from_u64(2), Fr::from_u64(3)]; diff --git a/crates/jolt-riscv/src/row.rs b/crates/jolt-riscv/src/row.rs index 4ee80eabde..12dad8cb0f 100644 --- a/crates/jolt-riscv/src/row.rs +++ b/crates/jolt-riscv/src/row.rs @@ -83,6 +83,40 @@ pub struct JoltInstructionRow { } impl JoltInstructionRow { + /// The row fields its decoded flags depend on. + /// + /// [`jolt_instruction!`](crate::jolt_instruction) derives every + /// instruction's circuit and instruction flags from its kind plus the + /// virtual-sequence state, `is_compressed`, and `is_first_in_sequence`, and + /// the kind alone fixes its instruction type. Rows with equal classes + /// therefore decode to the same flags, whatever their address and operands. + /// + /// WARNING: the verifier's folded read-RAF evaluation reads each class's + /// flags from one row, so a flag that depended on an excluded field would + /// break soundness. A field added to the row fails to compile here until + /// it is keyed or excluded; only `flag_class_determines_read_raf_flag_terms` + /// guards a flag starting to read the address or operands. + pub fn flag_class(&self) -> u32 { + // Names every field without `..`, so a new row field must be decided here. + let Self { + instruction_kind, + virtual_sequence_remaining, + is_compressed, + is_first_in_sequence, + address: _, + operands: _, + } = self; + let sequence = match virtual_sequence_remaining { + None => 0, + Some(0) => 1, + Some(_) => 2, + }; + (u32::from(instruction_kind.tag().0) << 4) + | (sequence << 2) + | (u32::from(*is_compressed) << 1) + | u32::from(*is_first_in_sequence) + } + /// Logical operands belonging to the field register file, including an /// accumulator's implicit read and bridge destinations encoded in `rs2`. pub fn field_operands(&self) -> NormalizedOperands { diff --git a/crates/jolt-tracer-x86/src/native/compile/emit.rs b/crates/jolt-tracer-x86/src/native/compile/emit.rs index b6e366ea2b..72cca1e4d2 100644 --- a/crates/jolt-tracer-x86/src/native/compile/emit.rs +++ b/crates/jolt-tracer-x86/src/native/compile/emit.rs @@ -652,6 +652,26 @@ impl DynasmEmitter { return Ok(EmitOutcome::Unsupported); } + // Field-inline rows need the interpreter's field unit; this backend + // deliberately does not implement them. Decline before the row prelude + // or observations so another emitter can safely handle them. + #[cfg(feature = "field-inline")] + if matches!( + row.instruction_kind, + K::FieldAdd(_) + | K::FieldSub(_) + | K::FieldMul(_) + | K::FieldInv(_) + | K::FieldAssertEq(_) + | K::FieldLoadAccumulateFromRegister(_) + | K::FieldAssertZero(_) + | K::FieldLoadImm(_) + | K::FieldLoadAccumulateFromMemory(_) + | K::FieldAdviceLimb(_) + ) { + return Ok(EmitOutcome::Unsupported); + } + dynasm!(e.ops ; .arch x64 ; inc r14); // Record mode brackets each row's template with value capture. Rows that @@ -1194,6 +1214,19 @@ impl DynasmEmitter { // in executable bytecode and was declined before any emission (the // early return above), so this arm only completes the match. K::Noop(_) => return Ok(EmitOutcome::Unsupported), + // Declined before any emission above. Keep these variants explicit + // so new instruction kinds still require an emitter decision. + #[cfg(feature = "field-inline")] + K::FieldAdd(_) + | K::FieldSub(_) + | K::FieldMul(_) + | K::FieldInv(_) + | K::FieldAssertEq(_) + | K::FieldLoadAccumulateFromRegister(_) + | K::FieldAssertZero(_) + | K::FieldLoadImm(_) + | K::FieldLoadAccumulateFromMemory(_) + | K::FieldAdviceLimb(_) => return Ok(EmitOutcome::Unsupported), } if record && !transfers_control { e.obs_rd_post(row); diff --git a/crates/jolt-tracer-x86/src/native/compile/emitter.rs b/crates/jolt-tracer-x86/src/native/compile/emitter.rs index 09b57b67d4..b165c500bc 100644 --- a/crates/jolt-tracer-x86/src/native/compile/emitter.rs +++ b/crates/jolt-tracer-x86/src/native/compile/emitter.rs @@ -102,6 +102,7 @@ impl EmitterSet { #[cfg(test)] mod tests { + use super::super::CompiledProgram; use super::*; use crate::native::harness::{single_row_program, TEST_ADDR}; use jolt_riscv::{JoltInstructionKind, NormalizedOperands}; @@ -143,14 +144,43 @@ mod tests { Box::new(DeclineAll), Box::new(super::super::emit::DynasmEmitter), ]); - assert!(super::super::CompiledProgram::compile_with(&program, &set).is_ok()); + assert!(CompiledProgram::compile_with(&program, &set).is_ok()); } #[test] fn unclaimed_kind_fails_compilation() { let program = single_row_program(add_row()); let set = EmitterSet::from_emitters(vec![Box::new(DeclineAll)]); - assert!(super::super::CompiledProgram::compile_with(&program, &set).is_err()); + assert!(CompiledProgram::compile_with(&program, &set).is_err()); + } + + #[cfg(feature = "field-inline")] + #[test] + fn field_rows_are_declined_before_emission() { + for kind in [ + JoltInstructionKind::FIELD_ADD, + JoltInstructionKind::FIELD_SUB, + JoltInstructionKind::FIELD_MUL, + JoltInstructionKind::FIELD_INV, + JoltInstructionKind::FIELD_ASSERT_EQ, + JoltInstructionKind::FIELD_LOAD_ACCUMULATE_FROM_REGISTER, + JoltInstructionKind::FIELD_ASSERT_ZERO, + JoltInstructionKind::FIELD_LOAD_IMM, + JoltInstructionKind::FIELD_LOAD_ACCUMULATE_FROM_MEMORY, + JoltInstructionKind::FIELD_ADVICE_LIMB, + ] { + let mut row = add_row(); + row.instruction_kind = kind; + let program = single_row_program(row); + let error = match CompiledProgram::compile_with(&program, &EmitterSet::dynasm()) { + Err(error) => format!("{error:?}"), + Ok(_) => String::from("compiled successfully"), + }; + assert!( + error.contains("unsupported instruction kind"), + "expected an unsupported kind without partial emission, got: {error}" + ); + } } /// An emitter that emits bytes and then declines would double-count rows @@ -178,7 +208,7 @@ mod tests { Box::new(EmitThenDecline), Box::new(super::super::emit::DynasmEmitter), ]); - let error = match super::super::CompiledProgram::compile_with(&program, &set) { + let error = match CompiledProgram::compile_with(&program, &set) { Err(error) => format!("{error:?}"), Ok(_) => String::from("compiled successfully"), }; diff --git a/crates/jolt-transcript/Cargo.toml b/crates/jolt-transcript/Cargo.toml index 7a8493d22c..415638e1ea 100644 --- a/crates/jolt-transcript/Cargo.toml +++ b/crates/jolt-transcript/Cargo.toml @@ -34,7 +34,10 @@ keccak256-digests = [] # `ScriptedTranscript`: scripted challenges, an event log, no proof of work. Tests only. test-utils = [] +blake2-inline = ["dep:jolt-inlines-blake2", "jolt-inlines-blake2/digest"] + [dependencies] +jolt-inlines-blake2 = { workspace = true, optional = true } ark-bn254 = { workspace = true, optional = true } ark-ff = { workspace = true, optional = true } light-poseidon = { workspace = true, optional = true } diff --git a/crates/jolt-transcript/src/lib.rs b/crates/jolt-transcript/src/lib.rs index 97317dbc59..f784bf1f86 100644 --- a/crates/jolt-transcript/src/lib.rs +++ b/crates/jolt-transcript/src/lib.rs @@ -68,8 +68,23 @@ pub use spongefish::{Encoding, VerificationError, VerifierState}; pub use transcript::{FieldTranscript, Transcript}; pub use verifier::{VerifierInit, VerifierTranscript}; -#[cfg(feature = "transcript-blake2b")] +#[cfg(all( + feature = "transcript-blake2b", + not(all(feature = "blake2-inline", target_arch = "riscv64")) +))] use blake2::Blake2b512 as Blake2b512Digest; +#[cfg(all( + feature = "transcript-blake2b", + feature = "blake2-inline", + target_arch = "riscv64" +))] +use jolt_inlines_blake2::digest_adapter::{Blake2b, U64}; +#[cfg(all( + feature = "transcript-blake2b", + feature = "blake2-inline", + target_arch = "riscv64" +))] +type Blake2b512Digest = Blake2b; #[cfg(feature = "transcript-blake2b")] use spongefish::instantiations::Hash; diff --git a/crates/jolt-verifier/Cargo.toml b/crates/jolt-verifier/Cargo.toml index 18599f44bf..273b8000c3 100644 --- a/crates/jolt-verifier/Cargo.toml +++ b/crates/jolt-verifier/Cargo.toml @@ -12,6 +12,8 @@ categories = ["cryptography"] workspace = true [features] +# Guest transcript acceleration through the shared claims feature. +blake2-inline = ["jolt-claims/blake2-inline"] # Heap flamegraph visitation of the stage clear-output carriers (profile # harness's per-stage SVGs). allocative = ["dep:allocative", "jolt-claims/allocative"] diff --git a/crates/jolt-verifier/fuzz/Cargo.lock b/crates/jolt-verifier/fuzz/Cargo.lock index dfcd5cb39d..9e4adcafb1 100644 --- a/crates/jolt-verifier/fuzz/Cargo.lock +++ b/crates/jolt-verifier/fuzz/Cargo.lock @@ -574,7 +574,6 @@ dependencies = [ "jolt-riscv", "jolt-transcript", "jolt-utils", - "rayon", "serde", "sha3", "thiserror", diff --git a/crates/jolt-verifier/fuzz/fixtures/advice-consumer-bundle.bin b/crates/jolt-verifier/fuzz/fixtures/advice-consumer-bundle.bin index c8f2359439930187acda0ef679a79fdd25f8a400..8d275021d2397ecf4630081fc1da3d49524cacd4 100644 GIT binary patch literal 185428 zcmagH4Tzm(w(q%X@2b>J)vk}kN|_xi$(|TIJKkKo##?A`f?YV`6$y5b-~VOy4Cal z|JQon{Z!SibBoiS{MK5}v!3s-_j%u4YL$lZf2H)-Yxvi6snk_zm8S5|igkm#DirKn z2|=$_-Jsl}9SmwTD3`j*^HcMG(_a_l@z-OBJJgq5`?pNpYa?Yh>k zr=YK^zpDrO(zSL2xu>h<++#P2OIE<8r0~(e!ExbZfkO@96M@6S!lwdPflvU? z0NVxdER{VdfXAVnu;+yB3_c%fWw2>45c^QQv#@U3jAL&J{{S9x98<$<+F{4_rG3&K zaonJG+cd<$s5X{%N_*6CK+UXa#~cSsF`9PLQTam?Jw-%)Da{po zpU4cO!F2W62Sl`|QtNOPk=24zYh#?bEO?{T;Ao=ZO7X zeWliTHw0z7Kmj~;F+E*9c2NfSS6RWoAod_Zn}KuoWoVn|pk1XS1#dxnE0tbzZgy>9 zmr{VQ7+@81$5@V7Vg!Ky70wI*gG#CNx(ilxt?GgWl2Be?fjHlcC|F)}QL%3#P5m(M zs@S*Tah2nDMD>vvPOR-`-c4#TF>qu3r^XUzMb7S>=ypr}DB9V@kg8tWj}#-j^WkxoBg$l%Awji^N>kt-Hm0hrAg1gd zwZ71Lc3&zuWmo!kc8}U10~FbPso<1d>D$?zb%Q*+xdpQO=ZK=6-PMt%exw-L9SM)C z97l<&-Cq`sfU;goH8b8Sp*5iSV^oDbMvzvMg1R**;1~$Pn6R0+$_d(L(hf_zHED@; z8&BGXv=d27tlPGv9hY`{(h}=7nY5GA-k!9?y4{(yJEh%`w8XmYOxh`FcO@;cZo89q zpR{|DmRPr`q@9*_Z_*O$_E6H!Nc%|A66>}vX=kN4q$SpECTTBAdnjp%bvvB2SEN0Xw8Xm2CT*+4(V}Tblime&J62c> zyT$RsLV~)TC@dOoak8+Gpl+uMi*dL3ps2Nw@g8u#li`XA6s+Zt-bhAwk{F z6&6!&aiOq~pl+WR7W>@dQeh!M-7Xgv({Ax~VIe`?zAY?f+~WJfLV~(oDJ*8);-|tw zg1Y@uSe$SRD=Z|a8~UTSht_Gg=%#=@&jod>78d8+qE=W)P`Ba2;<8(e6c!THZEaz3 z#Vy7P3kfRL2#bCnAu6_67NxFLNq~VOhM3aQ1!s?nrmm^z!aQgaThqaPq-^^Xj*u0 z;P4EhYTA9oH0(9)e#hQeusq;6R%*!jLC5v6*m>A-LupdlM;+5b=`qKFSVleJI2enp zryPe$(+c~HM5vg)6Owqnmoi<)tKo~WUJYRS-F>a!Q6M!o#62;5^Yhjq{V zm8I5Ydxh$rSjJ;na5zQIRan(tC34BtL}Yb)U06&SbHr476?-eR{isvSSjVJAvWYc& zTUtbQwbJzt5xIy7`CTF>*Bds>2v}Sd#`?#CJ4B%3 zl6||l{^S8vTu1_oE4P5pw<1auSH+8KB+}f!B#kPr(MZv%&g!*PtGE^)La4abMdUHS zZ6K!NI%=Cj+w5g=y;Sg)`NivbZ(Xu)7uQj{juEi9dKv3W1$T%*#U=Z8am{)F6&I4g z;>s;hK7WoVQCz)VT-QgM`p?eC=Ble9$a zE0Xr_rQMsfMC>b)_8+8uBx#A*S0wEpqp?Mu==owP*kE0Xq4(jG`!BK8$Y z`xj|nNLnKH6-oP#(jH1$BK8$Y`&Vg?BrOs9ilqG)X^$o?5qpZH{a0y^CoK{CiKK1) z4U9TGne;Beexk4#Vw-E)2Ze{BkO2FM!r~>j zu);zD>?gXTSG4}*7TpwRKOq736NSZJ+@e-kNPzuBVeyY{F;ZAafc->a@mIGPD=Z|y zc|u|FFK)59u#f;}3WdeLy2aMQLIRvC6c>i;2QQf{JYmi~jizdy|w=ug63fxRyYcL$FBLAWPy{XYn& z0yq47jgmHr?+ z;JCi@55j|v8%lpKe8F*J>36~z$AQvsg@+smOTQ5wb{r~g6drLL*63WZSt55d^Bwjq z6+0?x)>}vQF{)K>9n^hxTx!(Y{|?tZb|S1h?sz8bB-Pl`z+UF3Qslnlc|X*#Obdp@ z9p-y9+1E_^e8KPqBghsEi91A~1%veYfbPL& zv9G9Rc_2C1fqX;c0;&Og!@i5S(|R*;hvlNmL;7}kykS3t_q5(j+#v#$hxG08_>)JF zuQziG_bTzQv7f1Cd2l&YwO@%WkJf*}kuY{-^AUU6uq5uV z-%yE2-!73kEB7GAY{QbcLj)=j>Dwjpx<{ZAi499`0iSP%3zUd9ETgu9F4K;!VpSru z*kOZ$EZ3-Jmhr3rPsoOW9GwB!`;15ld=j|d)<#sdDx$|D!F3)so==Y2hA`*BM%SD* zi0ob?zS~Q@WyIIt;=HgnrvR%xK;kW{J%E@2dP_(!s;8L(410jYTZTP=m;uHjz}6IC z&;umiGUx%s46r@|jHduK50H3E%>#%TU_%6$NCEmhK;kWZ9ze_h8zaEB6rkz>5^t$` z05Jm$M1bunzzPqLc*_b8AZCEU2r!ufbbElrTe>}fm;r_&!0jnO*#jirQuY911{jV2 zccuXGBrkC~xDYb{dIBo0*LEO4yP54|@b-h)UBdQ**xjLyW_2I2Pt6ML_J}1$vr-ol z(;0e%o&rj+0;d$P(5@`EP#5wj5MadH)&0rEYIcnymKY6DF2uPD33}-QO_v+L+(Irq z3b?>CC^p>(l8a$?kr+)^F2uPD3C8FGjh!xX3%T$p;9}TaJeXVzx{JhU>~bN_T}ZH= zF3>&bBDatWj{+|6sExUJIJv+Wz=BGQ?jaZA+=T=i=mH&zE^-UG@F?J-<}MyhF8bU> zVst3E5a%u=*hm-Xf^?Bv$c0A%7kCEATs)RsRNX~lbV0cg=Po1|pbKk;L3WN%Sb%Nu0@(Sh1Ih94|-lpFTT8)IE-?S!fkIob;_p)C0CvM=0RDjOPTU zH8u-G$mUv5uN`&5wWUe$s2!uRt}X3e`cSHD$EhwZb=2$~vTl7~1J62r*A4nH9Wae{ zl8ljF*OaPuiio<@>VM8YQ1EtfCr-sJ&WrnWM2GrOi%6V`TbviS1X?mhapx8)ZjT}r zcf~%AG{votGvP6AeVip?1y$>?g6djhpFqvRoxiZ;VGs)A(}=pa!+r%%md;V#i;|l_ z*;VWUk%h?TJ9Bn10;i^#IF*$+FRL#YfXmG&tHi0S#Ccgske5|%p|bKQ+GX`+q$$ek za(Ilg`ii(*Syk+7syWklD#`)-Mryd_hPTJQBcf+^EIT}F2=x$lnOL3vNW>Cm0MlO= z%JOG2ig6INgX>+t5(m2muq=YGZbrsJatsLT(h9fkX=(PHux<)^x`uo$j3Xa1?ANoE z|K4guEXh#P7)$=(Jcb7oz7TxEhG~E$m>X<#UJnCb_+4uwG}zF!5h3u`w6)|_PB;n~ zBQkvr`D+j}e_}?L{B5Q|=15m!0K@pMp8<)QcV&+er=WiPgGJoPc zf7@x0`I{uuA2U?9+lkEIr2O4U%>0S-{OzDY=1-jGZzl~hf4j)^#|+`fnaKR@l)pX1 z%%3>V-xLipf8soUdufpQdx%Vb%uwAPAu@kc^0$we`4i{)dz=QDKXIPFCuxxRdzwst z%n%N*iOkVt@0|P@G4m(R^H=JH zLFP}K=dYUvnZGKT{+OY<)ridBW%(N>X8y!^{zhn!`4i{)TT6q?-x!(xm?0e26Pdp& z^0%3o`4i{)YtkU|C(iS?l?Iu=aWefeLv@=VGJk&e?Dw{fg3O~h&*63&WFEzN4ku}l zdAyxWkIYiV?j*uvuY0W64hk?oHML z;0ZDdfPdH@5#dg2hOUY|O=f|>KkykMi^FkRfl(Na&k|J>9S*Mh?10oLivJF-s&>#3 zCy{tM#eLBW6lA-U#Azug&X@{?d|`fqNxK6m|Qa$?J+c?wLS8OGZ(rJ;$8%XgFNmRqZWe zd(ZJUk%brcP7-%Gg+)eRGwJifd?%t$_f8Ubh@hMIPNdHZSAzT)H@8sXdX!o&A`2CJ zH`2V!y_1uXqGj%#yhru&g?|ca6@G_33tk%t*S##v9{Z5UX5M)V^AXj4kf3emp(80PZoVzvePmW;ZHEztMGYzy=Q z85J8_pdTYNu8SZL#@C-izkUe#d;67`jj!T-f|;j5Hol7U38q|yK{mdwAai`BgSzz* znI7i-_cln({E74Nd^HU+f8u;RAEiO&ZylNb=%8*Ji14?bk6V9ln~0e|ah|{HXps36 z=lQ#y2ARJb$n-}Cb-R(s{QXw`ZX#y>#CiU1p+V+PoagUW8f5-%Bhw!p)a?!;^Y=UX zyNj6l6X*H6n+BObah|_>Xps54mrQ?jP`CSt%-`S3-~GhQpE%Fo12o9|iSztDNQ2DZ z!({rSgStIRWd8m^{vIP{{=|9yo}fYIPn_rPDH>${o*~m89n|evBJ=kL`FoC-`4i{) zd!7cFKXIPF7ip0BdznmsbWpcfh|J$h^7kq+^C!;p_c{$Sf8soUb2P~Oy+x)!I;h** zMCR{L^7jrg^C!;p_bv@Gf8soU@6jOh_dc2a=%8*N5}Cih$lpiA%%3>V-x(TY{=|9y zKA}P8?=v#}(LvqL6Pdq%l)sC_%%3>V-xoB<{E74YeMy7N-&bV%ql3DALuCH`Du3S* zGk@Yde?QP5^C!;p_ahB5e?ODyj}GegE0Ov87x|kfX8y!^{>m$1kognm`CCDQ%wHdw z{^+1?gGA=V-#Qv({x*>5j}Gd#iOBr<)wbW;brfVC#d!{| zr$OdXoagWc8e|@CB-5k2sMt*uz-RA#haC)Fxuu$G{?6)K6;Z*Els#R1S)sHB07F9>}qg1P?I;i^$FMvZ`Y@Z${mSDdb zs~_W2_8DMpYjLKAn0K#Nf6^F^ox`64v8fX_G0qiioipNTXt zvk0Az6fLs|eU|Fw7NKkG0MuIlUtZEIyYPUFfl+*V;NEKo-MDxU{)JF?&42&@cyKNk zt6VMTWjjhWpFXXI636y$ zkyoP&wDi&yCanvkrvx=;8?;L2&?XMue)!t;Usv%-skwG+ZG0tZeDzYH8aC;TdK=(6ye zz~L*x?*ikXrEWij;3|Df015pu1S73+<^+rR5UgoUy5QFkjJ9^VU_Jy_x29ZB?nBX_ ztk<^oxnM;I>aA%P^o3wuYsLkGA-JYB>w?uG7;Bwy!DtB9r+4$#gQ<(6PnK1A>q3?t;KcDrMDyxw-FV^^sm?GDF^ocG6W<@$>o^);CwR#5YMs3{?GeYdIvQ=-KF7LFE}Qna<2oHI z;`aUc3hayBg9S46KX`UkI#Ds_(uSxRUwBmHEKcQ!+jj zc-21P;lPn;;gP^KGs4-x(OKcqz^hLPj|HwhEj%7rKPNm9xbCv>WZ*Sdgr@@gv) z_&x<`G_2SMM5MnD);RS0Fi`J9RqS+NjoM!O2#9~Im@maZ%Qh8%qjrYI8u~tFY!&;2 z0)4M!dg-{_v`?i*TJ|B%rhVpEWqSdhb4;!2yyI%MwK2N@gxN|fP5$j~a5iS2yQI%b zQ<608Qi=h3MEIp+ADcFEdRd5!H-Pw*0+D@4Iq$Wv!B8lJqxLPeP^-#LX@Q7_ciIe_!cw#ES7O!ml0&j@eH@{G)26MkM|h8FW<g#~PkZ7wN9dIJ#3}LOcH;3}8jrt^ z7dEhXx;};985RHmX?$^LyewG8GPj;twxMN9cZ5N7HTYzUwL6GhjsTI8yQD38#SUUtH+O^cl-)zUQa1LVm#m%k+r3nCjf@Ld zT`2qAWH!8UFUrJQ#=R)Tc~MG0|FBR|<`yV~HzP_E@E^-+3YUFxeE#8 zVzax*E#$(ZfQ!xU;+f>)I(LzH%XRKToV$=fF0OMIxrJPK6mW4JT}<1vbb0ts! z1B^A#QO`jLg@OtBU?9F_!GY;{Ax00a*1I;_3lZIbpXX28ObBZ8rRjx(596P+L)7~; zr<-<(Q(F+{S(IQP8@O`|WznN(w}r#WMYM&)sV#_e7ZUW-MYM(7LM}Xt)E26Cgf6)E zZ}HYD%HeeiFsK&gFh_xxbLq4S0*3nYa(HV|A`_=Xit|KDpmK;r<`zn%N0AaaXKyDL z(O?s&1}n~8NWhm6V4*&dTgZh+0T*hpReOgn(3nc!suWHTaUxKZ!bu8H3TO=_U!E>3 zg;R@?m^dX-oF`ENl|m#jw@?y2ij+j$1x+rZPbE%$N}RipK&>JARBj;`9tB*ePgU(S zU9dHLs#5rfn74&96hvDnm3X$auoOO7l*Gg-iQ+to5~vg+iMfT6=uxC3&e>Q&? zTlkKGqAiq4wx})quqcU%Qxe5_5+zV6L=tlgCDEfuNu0AElZ#knBu38CCn4F4z|EQWr+YUx;~IFbdjjp;VejG}-7_szJ|LB9fRmB~hFwQ391h zBr&&85&N$@CA66S1mauJLB#A$Ia&Rs~Lx{k$tZXp*Q1zc!x-*2OI z!M9xQL09*T;bPM-z_^u$+8`Cw=VjnO*0TBmzaabvc#hz|=lNak!8P0&l5@%~ui^!}JQ&yxgI zG=}v4SZ<*_c@)UgFc5Ez>~^O(1>gb99y&x1;hiAh{eeR)|B6i!@h^S3scH`p2l1$? zwHsA{CWd!3_7$$r3rhwi78cUW9f$;B0WWVxl*o_L zJ8IK(fhtpJRqa{g01IHP7r=8A@L^lo3m~z-Q#oVeya1k$0K-Tja`Yn6ue<3JWJHbH zDuDg=3I%xD$K@Sc&b4+}5^PrVGVe+|q9928e?){;nz*C5(!W6zINjrt_D+p5apOnH6iAv$Dr|=^R zm_ob~#}p>^H(zI*^Aw(m0K*uVkit)h?G%1S%u{%t0;bSPrAgE)(|AF$b{aodAf)FX zmBvd%rE#yP@iGNWW7X4`*k9+JF>#*8uOq-PH{?zGme@|?_ryGnS15=ymKvVMA0=z2 z@n;1>dRi^SiMsxk0;MvJOXewHDmloZBoq5v$}`S+D$4^NU>E~6Qn`ZIPGui4Pvsy5 zOyz%J0x(2GX%0)?PU(mOGNm`O_^P&+0;cqP;GB&SnNH4nNM~Yy{d&eZPiG?n40D*m zCs>K?bT)~3I=50#q_c!(;w5^6hE79!Ib@0BO^_sVBn zpQrQI2%zs&H|;iJJDqnB^K{-tK|7tL?nvhj$=m7Nsenx9Up$?=C}27tS2}kSna+4& zJ~8G5*w2_aPv@QpFwDoVc|&o z4$}qdO4HYVdzHxLux1xn$jtvg>+^{8sXp;VbEUADZ;uKYnFJMRLqV$1dmP`9;KD- zjA93KxdZ2CrH8%aCsMzC-BVz4ao^Na}k?H186j z$$uBdt2(3;>K~|Pkn)b6}P50vPEYPuEb9U3_llCt#?zQru za>a^Kf!8g+Vw6# z@=m*8YhiJYf?m4;0{jCHzbE0M*KTyiwwR3D5e&ct%|HHsFR2Gyhoc(3rZ)fS(qF)+ z*sWBf^!n$qjnN;xra$~Xg*%gM)b5}$JIEv~>UI|qo}*9f2&@ewxn;YXh=^e!-swEx zout?90Ykx+Dn`3|snvsb%%qI`J_-=IV#8i1FgpMJL^QtWVN*oZQS`6}i0Wadmt+cM zzE^5wgx#}g4?0#$4PeC{ion%LX&)wHlco#Y*!4K}mwtm(R_rk$3xBC6J|&?Vc}RJF z5{y`jr=m|&&jM{}ty!^Y3Y79vr<6Y{H9}lb+738Yc})ZvdCqZVj2s6YS8L>G+VhTA z>A(>`p5Zvc>nRBPqN6Ua0B0OWmE5Mi?09utb2#LCz_QdwqqQ_Q?QaTbYnGuT6~uRL|&(dx}7BAlGP~M2ehX`d$k`# z;l4=-*7}{RF*^+bLaxImg@uhUAJb$VM3cZZcGeA=Q?S}^pHNvxqiLWRki*Z&S7B|y z=>tvwJh?s5T?kZ9Xxc?$6{Yd7FmBoxj;mvw{nBxr##s#bLX_qF@RIg~UiS^vC_0u4 ziuPL~&!$@VKsK}SJq1W<9f(t#ABbz(C7n2xw76Z;W&4o9M_g!1NPXM5IORw z8$`4N9|5Yi$+?fme<;z-M7G`7;U`WXf)cYtF%lwrd|xXCh(n9SerWNU>lpy;M*+5` z0I@?)oW4yZW&rd!1sG2OV!NC;ef>(z09Z{SzR}g=Ejx-eaVl1EUJtudfEaWVr>-Dw7wdl8!vG6P z>3&N1$s*04IIxQ-*C0C>1|J|YcbHC*y9bFWcWdk+Ae-nBCI4Y6vu2byH6wAJ{6|xO z$Zz75UoiuCGum&DF~EZ4KQ0NXhn)sp_Q{BHC1-RT&k?ge`i%2RugkJcJIBy4YR{6} zee{5qE5j`D90ge)JqTt2%zwJ%3pwal&&#@9pNUic#Cd_dm;yw7CQkJ!W&o5j z^0(h!W`G3+a)^=|>QjSV#a@XhqdpH4S)Xix19pVS`g{qwsMza5bP*^y2PR`ye$|d9 zF--~^eIB&z#lL=m}rkI39L zpdGOHiOe0JX!Y0!NjnKGo&YB;j|Q;$B64_WAP6^KV$6stj5q8|=>3S~j|KY?$!pF` zy$@lSU>P8vV9A_db^3q_mW-^%V)8=ZAPTz+6D%>CU>$veJ!)SHVfR;Vq+cp{%l!DF z$-)n^WzWQ6d4ko(tOw|agDrpcvxnRQZR^hwB?A1FP3;Z)D!Ke;y8L6oTjsZQbSe9` z%RhO58eRUgyUZ=%<0AGVWq^g9Ax&aTc-KnY&CyKSIW|+I2-Z8d$w7TpPIZoN!&>>eIrp zz^hIOHw2E%3LAmE;f;K33LKplZVtS9pYXcCwNt`oV11|X`amv-G2Cqp#P33)LUBfN z0|o6J+&B>m_0TnTBM{WY(22kkNr{?AvTh=_^S>=H@_$QUM*i;#jQsBijQrmnSmb{v1*qj_Nm;xn={uZBV2Ii!HSAe!O}p2z z8hg3jjw?&7HvIaJ<7zKL+vBL07@)o1aU}L~Q;ut5FZY1sXo=N^owMWBY3J;?w$zaJ zA;&tOF2ML<$92dNYwZys`tE5UJ^@K&tJW^?sO=+T#%VUVi+icyEe&@0*PPiS{R^jK z_Ba9{rW)6e~Iztd7A4d_?w;Xnvcs z*U6Z>(grrM&(1ThXV!f&RwY7Uh6cpz~DvZv$@*gJ|0 zWwsIOHTEtLu{K+4k@&7R>?GB!7u*!#IE0Msgf)KbN7$~o#Hr%M zEE`N52(Z$=VF2!b{{s+T(-Xp-Kjx^}53V09ZHE2^`?1hpX84=!=Opl|{MF5e5WmX8 zk{U~J%u4e>{G&O4bm^>w&+DyXUf{eNfiZ;vWqf$4@r13QF@I!;jRs4SJ~CSc?vk-p zB*yJCr1Ujs=G^Dcnhi3*24HI+(~doM_-ow`|ER|i8eo#FagEkvYl#Tl@hcl;8>9Lv zG#Ta`)!rbl#Ah4DJ+@hlHpbX0)+EA>_K{V)p4ba-6VT$_25H;$Hb{x#mpQ^ zPti|Afas4m5uqFEbf$W<-ICN^iMJB_(W;cV0h?50cx#vav0}Fqk#vm}c-KLQh0vWU zwL3#QH2>AoYQrxGQ>~Q5Gm+v^0~&c(x9yNVHFuoZl6#Ss7(wqL52D&xjOdxW+#VL> zIlEWf?f{8XNr~Idpknt$fFa}^BiA0HdS{2z=bLRRslBB360z*@vcQ&Dks)m?scCzd zh@Q57$?M9-rANRx_Uf%~!@lpJL{0yEgXK*me4wMBL_k|UR#qp*~HnT!{m z7u&reIqdj5U#OeIWE`D%7hPjVz)&=INc%dqyi|=Q}NUtB!mhDqFK#pOLHt?B;uW_w{ zUUok0SGfItyGQ}bqn8f^Vemy5=!CGxE)nr!eXWJPEYovYdSw4Uskpx)j-f=@G?Bh< zTs`I;3BQ^{MkCU|UAON7^_{Z1eIHnBATqp395{q!PS?$Lg@|@O&|ykLRs9s|l}kn+ z}X6q)Szb)gg8tU3Ix$FC{xWhe5L=SgbTik4eWOUwT+^r7v(xKdQH}YR`H>&Vy zfbF)m$Xkg8dw8zw_QiZ5aNe!WxL+(i@o7i=Xl6g zu^Y%}XM>Y!hBp$|z=4|afK5n^M*6=%y~efy(Zo8Qso_Z?jiJ^utZdtbh)e6pH|$n& zwj@ZLmIUJVT+nB?F@Tl?U;99MM>xPIwK+uHNyLi7^Sa-5kg@vr)jC!U=$Kt-@H;8j z@)sihF_rpb9aZd}h*mGyIwfhtb$Yo~P_BgJ=5hZwy z-4Dh;nhpF1N4L_Jx^z8dz#brS`MMUy`|Uv@j_W+(oLM~K56cX@-xvfJUT&}0qY`NU(R$EimJ@Rvt{PX?~#2sdU=1CdtzlvbMAo}mFB?sVwbSQ|`J zJ=#^rV=Vl2+X3=QF!$ux1|1~#LCY;`-CiKBMG;H_D>fr*^eYV4D8848NSXqJ4>@}~ z$M*jfGI~98gmv~|SNE0v4u}sE0`ZULKK!R{N2r9S0St#2T4&w1hwYm^o9d(YQ zpHX{@jPXyd%681v#WRMt#U(wz!2^rquI}fG9~J#hXjLT>c7ljD;bk&rC&92=-7e(! zXn|$z>du9HifX*N>idsw`+&R>9EE(^^;eZz6HIU2KBk~u%x7g^6!RyUk6@2F8n5NZA18NV0~ElT_77N>gW5w@@e3x{Xj&4u!%x@g@}J??C-H3 ziJ0U2Tlhh1cGRCK;7Ag;fPNv5p(l?q{C@kDjM3D;XI{5?>0u8w+I;ycnwPr9m^92} zM8r1Oq3SVgRYSep#MwtZhwf!2&YHqwQKX5p+XkIu>cF)YvgUcdLd8F3(*MvcMySSc z=Y=s~qhw^Q^cy4|6P2rr1>l$%Mb~Ko2>T7mUK3T>Hj%Rh;AZDy0oW9y=$2UkUQd0o z0DQx?lC#+*ahhGk?b)Sf;~oJvod2iyoQa4b)>tX(Kqf6jJ~lmF#5(lfzda1 z1xDYvH!%9fZX#Ab(KqfRqUz(sbq^5KoWHX4@mj_1Pf;ytn+#)9QlsNt5kBCUuBq&G zOxIK%bWGP&9&$|AR33Ir*Hj*HOxIK%bxhY(_Bp0&Dvvp)YbuXBrfVusIQlgeyr1BB z4bKuWR6HfbT$FCDJWT<5V_N<^<2-=D9Rct>(-~_u=VzV!eZg?l4v^V^8-Bi-IGt~b z*?`dq5yO}rL;%Fh?dl{1n1Nql6h)UEvlrcB4JuA^d(yiZ?94h_kKm3%LK%Q8TNI`(eyFz;IH52$OA~_ED%44PK2#iMsL_LV%Ad= zr=BWiMsYm`;cIrB0oDR91M%~z5k8hNCj(bwK!XKcw!L(bjRy}pU!w#=|B!PrJU#4O3{Q_Z7sJz|U_`8X9ks`( zWu>*oy!}4m=EdgaNpUG{UY>Gwx?GI2%h1R6lCZaLCOuPowHHp}9K}OcGdBIO+5#hCe3R*lR z6Q(WWsJ%{Z?_FkH-B=>B`$$Q{y zza1xH)QOIX+@qAy!%oNyZ9RI}!X5e=I|)6#-j4s^1qE6od$BQnpP03U51fm+;X~(Q zV|tq0-k5&m>Y{Ex78iAU#?`1>zCeZ?pG|t?2#NWGSVd{F?c>X2#C~k|8^ASo9>|32 z6MQJ23kr;(PrVvX4dWMbP}-w$Z|W1|CFuj$|9~l=c2dQoQvK*=v?&nVdtW^uLdJx)F&4s zqtvpuUjUYEof{YJVN6`KhYhawZwTPGPl)ZdxY@Ol(z;zoX6xXXk7Gnv7fo?1IW@%r zyTR3crCmr}#m0rv8t@HuBI4>}TbZz%h&UHYgUT&n1k27uw$ozyGm%?8g5pf%Hga|* za);}$D(!_oyoEq)SNGkrE~zQ9<$Jr)?N zx5opE)!P#kpoC%@_#_e8iEZFhKv1*8>kViKPp8P{XE}M}PfZuq!Z7xX)QEhiaN03_ zYV%pgmD+GM?SP{`;)bx#IbIcaNe()WC}!Nq5SF^CQ;4~2FAz%@y<#u+qBG9fnUJ#0 zIQRSBZOmQGwl)0sLhd6cfpBc zGM5^YkF$Ti4yT*Pocm*!_O>t@*%~_zM66A?hV464a{0UsuIlzK5eeh=0||RiL7@*% zr<_-#MI&_G-Y2ucvIg)2T7gx@jgP$tu0&+O(}AlS!jA&48Ww&Ws3OI0!UvY8pdGcd z#P%NG6CxC9Mc6cjaU|ojz(~fqz(~gVz(~f0z(~f$z(~gDfsu?ai0#IFDQP=3Uwlnd zYS=UXO}p%v-UIq70xOkG`AT|VFfl4 zhQ2wObVKyeQORM`xHQUDJt&H}Mz0)lWuq4D2B41=8! zVtotW4B)7+OCgX)?qV_g-Rry&Zo!*uH+dr-*0Yij!5%VCis2BeyZebK;f?e9_*OQm zv+g$910LKjfndUakjx7#^p2{0n2ap>1qdVvp}3fSlyYs&X~$1mG5!35zH6iHlOE^o zY~`?jJnZ|h%Jf6X%pUqDv-tdaOQuJBPkDSRJiZ=#hRmkfGJ2S>XDKLl|7ANM1DrZX z<9$y0Qn4%ORzj!kV3NnKVDaUJ=RICN+C<*)Lt%;+od}iDg_p$>`ak)q@waq=K$fRz#8a0(C}5+@I020%T^!x0AHxePvD!aOA2 zGXLwMUg3Lb=@|i%guV3Z9$*M_^p+lsU1+7b1$?|2Q6c~wuoPyK%Zj^9yk+UV>27Y{ zrO#bTfJ^^fTPp4{w~$MZ5-uz5@@R4yzigFwxgQmfK6fd>O1i|049sP2A(tK{i^W|Y zOD-`auwWCT>Xa*S?m`0G$m)WHT;vvV;ZeYa>aJqP!^PnIFN^957WnmOs@G$1_zQ}C z!rmofFu;g_zlyylh9MSLus%iPy_VJvW?+qd00A`3)>$yd%MZg|gAG;{MD{uuL;Df2 zis5_y?2@#=*_lw+=Fcou_u3~=BN}`Xpn>Qr_8HCjjI34TZK)nRPXW9QZ2*?-B9V=b z9UeXLb8)*TCQkiC%)-WKs0c1G0A?4DVA{Tn`1|HBFG?TBu(DmIzBqxx4Ns6mZbi>5G4b2WvBy5X+JMkr`Eg|)=2DXbH>n?mB$6vV8V zmC+P7FaYwBnnEMuU#=-^qCRU1o5k&>kT^93ao!Xpz=MsVDdZMv3LZtfDKzO~`KGXy z>ULAOA*`b*j1$@N*zZw!H_Ezb3KPVvDcl5R)uyI!3-xLWO*RF5Ss=peP7J=`EyQot zXdu9s1w1_R!LyD#sAU(L-xgz(6jW-DPj!1Avm>xNsdjaDpf(U#4+WN|pdGb)h=>}) zA+xoMh<^=mc*NRBnAS=a+Z}3+c71jqv4+Lw3kbd6?k8?U5&GSsSlW!)1CS#+FAO-@ zn_@YOVECi}5iNai{@9{X1L|peglhJSSWhfm7~vie^(tB|3Cs2v1^m@O4r^GEJ)sCt zbu3#%_*52Qr~qYLor;B!g7%);lO^n7fOWMH^` zKI}2sY2lMN^)WGdir373~rzJ#gA(tK{Txtn{ z;|aP%^YQgQz9UD*6&BrX#ml3_jX-R3QMt#2Sl;7X%$%~`Ca0g2LZuxSBLh(fiBlbj znP9Y7)xik{P#wfofnr^cI>5&js7B-O@6`Blgh4e1oz!MdiQ83_I8~82FE0sjDq0Ma zxrNHhqexYR?>Eo|(l*E;01K8#U|**MPS{6O7i|b{tB|wTw$DUt`Z846&I;2whaV6L zwe|wN_9+lvS#lWm&QZx~nBTng(>Az)MRj}FyBHY5-sgca?0pefo!{Vp=pR1ty;QId zd^65$#JJb5LKs#Ah#?(gj6i^>i(`zn5#vbf5=t4z7-JOhI+b3KM>#ekikQAP5z*~> z=65eCR#;yb>J{_%cT!&;>fZT1ozypkdTjo_rRp)e5o#nJk98Z5zCi;ucO)BsV|J5k zixZM<&c2dEYrBP!Blvnwo?~{atFr@-+i0Nq5Fc(~6S{)}%pn`nAHUJCFoho)B4>~3d2+(6sEF9Ixhy90K6DDT0zpsyj6 zZHhbw=B*g)MD~(qgMhUE3uu_?}XDD9@dB?TJMw^x%(*+;(VJUGS?D>ek(;>{k zEWS=ljpseS^&Vf3y+~Hw#Uaeg6bwefQILmZkdCzR6;QPBL&H(=X9qlF)!$UVuK*S7yaYu(P65z8o#oU-%AkH^E$eJ`a&e;jN zz-KrRgIpv|F2uPD32@7;aFJWcg-6kLagr{sZo5dFT!?cQ67=CF04&gT%a&Wng-6kL zaf&W*OFHEuadIKfT}Uv9r^3laZXp*QMRI{f1YKy=)A3N{L#p{a_5VQ4;n*Wtyv9Vt z__lb%@&)Ad@2AogyA-j+NA4~YF?p<<-?4OjpSG{5{x>!(-%zhk9vhbLD8L&M5FX# zui7Yi6?9w?R&AZDhqz(sdeO#+Y{Oh`B6NeyOGj)x*syF8BLh(fiBlbjnc%cxxsCyr z->@{PM&s}A)cDJ`mFjH6a)Y>CMTt`tiSzQ3Am6a$7Ah}~B2^KNV(0>S9rV#-A`;lw zDS;EVjp}T}atk@zuxyXmV#9K)5c@?HC%&5>>e#T{283%?9M5T}lD5M)QL*9JD>dwA5Evhebj0s?197qwftABvdl(3LaVYjE z)ezKp0lU{8b2Yxs+5lJV398Z320OTh`BQF=C14yjXJw5qC^Ikz+4-@hV|3G=RopQ6 z6I|gwg=3AMn}X-(g$z8sG;qaUq#8X09}SH?edZdUgY?My;-japq`3b9arfG*K;#*x zS)G#oI*rkrYpq$1arl@81)NM;(-buAEst(6KAHNqW3BW%Y2R_|Fa1{duA`2(;rl%x zeR~P_+WXE$g?vbJ&0Hh#+$zf$rfI5CrnUJ?OY@DV6I5$tm|a?Gcsk+Emf84z#=z`4 zt#RhF*UtZ&<`)a|D@JS}vLRVy8N;?!rg8%W4nVhg6J-(QuYxa}# zK&ds$_;D3n@na|*W|*4&O6C;bn&e%3T-9>}9>2l>j}z9x0RI{UiRAY%>LT?QB)+K|d*PQh=AqSIlo%+Uju4 zn`-o!rH}8J%xi62dN^dUV$C-}#%pK`wx}r1ZIYvk$6$sEyoHQ}Ew;N=a@gs^0{d-} zjPx$HyIpeFF&8);zJrWx3@$lh@^s!MeJYq~yPK?h#m+L{;v!%7P+vT8n6_PFq@&|j z^jh1!$o{^}-Z!sV14aDzFR;hgCc=K1_x1J`(fJB>!Hyi=>mlkK?R9y9{F8sc34}O=QBZk?(3~qt*2hmrqJ9)XODh*ds?$HZv*ss;~mUeQRqs1k<** zh@sPXGiGDZBeD3VZknAMF2Uz)((JU^B|JNg*{P{m+vR;dnJc|CJKaD5wu1v{cDj)Q z4bvTGr<)WZ2B9UFOHi$)YwZ^4F)*rv_uF8r162J0ypldLm{UGU{t+nc3+c=~Fr}+Z6VlXQ$nZ?C)#acQ`1;Y_rIIDzoo2 zJMCRyf3rOp_MQ4ATFb*lbe&oYW*_Q{yKWP<&!dli*KLnE`$r`a-xCpEf2V52?DS-^ zSGA7WQ($k6{&6MjPiVnicAA}@^&sIAN6TU~y^b}44<;?J-*3-HgnpMao#A)ei*6S$ z!ee$K26SzKc$AYgLlFE9Dw5_o%; z=4jT-On&c0bA2pa3h!-ZbWXNdcCy%dCjMqFQ}<@!6}7Ip0VRhr9rb z74diE4r9a*lEaQGV%YsiMmiRcB|lR>gmn^^^jJCnLS_aQtdq)SlB03Nig=!k>mvOf zTllqB9-|&RAT9BxZ3P+WM9W;X5%7HVQ4eb$OR<3wBOS}Eh=&*1ug>f{jX9$W>~FTU zVZY3nGgd^`skL-lgZe?Nh?PCO*Sa8je9XwXSTR}fz!4l z;)%z3i^d$xPSkHu&7+C2IN2fj$C@9od#Hz+uiWFUkX=MRqx7f26Smv+@p+A2+XIH> zigeO6MLk;VieC_A-S!5K>1SxrB_C3F^gxU`T~FAT#|VX%Ce1`xyo?+}sGQR{#5q4;pap#r|lR8a9&$x zC_WB73kGa zt$iYWv;z#CpOQN)|ISGcyIB66CwEx>U6dSlvHbg-++k?HBsuJ2`S&Fm#kt(_?W)gGi+{*8#)z&j7cYZut> zw{;QW;^p54w=0%^4RW^p+mzyA%R*6ICq4a=@waIC*MuHfX}*B};J1=#jeqq+hH>(S zz}i#53A<5ou^@rC`ZVETi{s{P)N2H}bLoLG_CgAdq{R28Zk2he6?{t}g4bH-muT2l%;R1xMjPijsdcP>IK*6t^Dm2@dyPs4g1xetS}k#4$4n{xliQvA@$34V;{L za6C1GGfp;P?s>(G`y2(#E0&7L>p>!4Em27i*z>OLEAa^(K88ocs3a|ZT#JY&a8Xa# zqPTekAGMdssiG$AkgM@qBA%MVWHh4z|J6ABrj`s)Ha=Y+A>ye9G0C!$I_}r@-cmP~Vc$b|0^vOxtv$#+kHG41A zEIbtM`$T2uG^@I1A5g%t2RkUt>0OGQJ zMdp=Wp3%YIH?l8^=UXDX&3}Xz-`gQ#p)=&)N3Yox3K;l*fF3s@r3d;l2Mm?~R&gY3OF(YCvTOShvounQrot1SL-9Gu|AioVbfpmw`{ zV>J&QQwM%bi=6eu)nX(shLsW5$I`KEqaL0Qau8qH);h<}BH@KkGFJjrS8ObBfV*w{ z{vr_*8^Ch3LDF-RCrxeqi!`=k->aEOo=aVh=#VavPW* z`~Q3%W50>NiakiR9;$9$azug94^xfjOoOf4*&H#HQ-CjD5BU!y;8zqWK#TA9A7;RV zaSE^zugzDN-iyY^*{H_xz;NpW@4(McfT?MfZ$I$#n}YbgAGDGKjze+1`8mh_QUm4L zw1bYd(m1eg&lB1HTWIbY%|lT0ucg%O#Sjd(8g4NYf+7D35}uG#z$V_Bq(##Xxd3C@ zP8Yo50*tX!E;#H0?CJJ-q_0xIbevWyjs(`u311H!yeymz9J(TRb42-99-4O41@Mp7 z$^^aT0{B-Rns&?u@IUVU-=={6r{&>zU~NYDPT=6I@I>Iy3B~>{k^Y(Xrk!-GX(`aO z_Z$aHOncK#IS%P_ftVhM^gF4TKM1Vt6n+>uI3+wCIJ8eueMF?+Y2n9?wYa=-#&J-) z=%$@@)Gvmk-ajGIZ%HwK8mOV9Zl47XHl#flI5aLt=ZW+?DZJoVi>u`q9S2KO(thqZ zq+ipl+ZROo^|peKr-q>BZKZBshF~DImCGK(D!&VWIpJ#;;8gJ(Di4Bh3&CX(f3w|jCdhpgXD+J?if$yX-+i*MSg6=|~pH^&IwGd3XMXeC%ham8K zyoF%eEk+8#j0@Hlf>{@g6@n8kXcU6eF4$ZM&bgpj2rj!|YazJeg7HF7;%PwBCJMo@ z3$_)4h6}bAf^ip276M%{zzV$(>~xDe3&E5Nb`*krF4*Y;3?0)bSagqjT!5}S60FfNr+HXKz zwtZA*zs>j<8B5IC{O3z=)->%2sWD6VnhxLFbOEw?+B5N#3))TinL-dv_}M}bP58M& zQ1Uu_z7Pz%;Kf4FaKX!kVB7_-6oN??yjlo$y5RLfFy(@|La@&TZxw=R7rb2vW?b-2 zA((Z+yM^F{3*IXPr(N)VAvouP4-3I%7kpF*uDIY#At-sJeo_dAUGP~UXt>~fAsBbT z#X>OYf-efeP8WPx2&P={RUz2tf^Q1Jv;*$9zJK8mOqZX_Zq#Km-0Y#nj=gl$mZASk!u1g+jXw>OV(IUHp!_(@gq2)F14ym5$+jLfNj!pCywLL!!SE>oN!5Y z;<(Kv*@@$J#hT7E@LDh#vt9AP`8Epj6URF!SpLNEE=7pdW2d93(zSNC^ywsTzwIQW zjE5FItl1?w?9`(6+r4BYY_Z*alEZEQHHZ_;J>(82j#HAuE>0XDAfq^!J8^ta`jpOT zd#JGQeB$`XBKt?%_8m_gA6sPqcxK<}#PP`m_BY#8VZThLd8UZ2^NHiL)MqD-2R!=X zf%9|D#fjtd5#MqrjxQv8wQhX;80@VvojATs3shk7!1)yqQk*y*7PEnOK5;y7VNIXiKDE5*YWgKg*AWF~Bx6UXDwBP&fbM2rdV(3&}e3?s(7fpPBj zp4-MWJYnxsUED_BZy$(Du_?vNtz=Ehx5r5?;!b}!S&@yFYj>XOq(Iw(o>^zaXU3Z3q7B??Otc&C{ zVoliRu8w0Wtdq$cJ$+44u`gu+$CwWB6zeiEI~EfU;M@mwf!yM~RvG}7ITrhtYSgmQ zi({1U6(5SH^%BER*cA%k4tc^~xBcV>k^Zv%Oh$6yL#6kN>{*&XTzCz2sr6^Zhu;&R z02vzeH4#31``;)9Sn2(5v}js41w6R%ERWg>3Q`f_jw_J`%o|O8*5~H>5fkKhP+GY5 zS#mgOeGVNVqINoUcuWtYq3%3O;;juuj^raY%r;}hl(4dG2(9NG2Q}hIO3gMA*-@`S zHt}|9XyZX#lem1!t`BwRl;QK0iVZ2d7AdRRxFc4cG4b74gzq$z;e}P`5i*Yq$Q>rW z`y_{5OniIDNZ8_uZ%T65srBx+2gn^Jz6T|TT}*rrk^hZ}?-A)!I`Lhw!oKsw_t+x) z$J_QDC%z{a**}%pcbfQ~Szv#&O^1D_et^;ZKoMQ1)`CX^)Mpdl^B#RM@x9<&OnfsD z-*OY*%gJ7&#+V%fduvP+-(gyy0*i_7hzBVqzSqTQddp0Fa|`VE+tG+{@x*t`?TU%- zZE`m89na%IQJoNTL_x3S-=art??R8P#Kd=!*1&$qFb13oj7M!B5RoHqwY~PChb4$^&iw@-5wKHWe;8sG5S zIYcDBPv>jczg%3X|2*kA^p4sW3$>S$*3VH!?eaqXS4rPc=&y5a)4n0<6sF{}#CJ(> z8YS7Z9}=Du{+RHx@aKeAguf=77S1P}5tcWFt6AZSgeQc32`7d4h?J*mr*L(`DdA|s zeZqB)9FutHG3MAGC$<}saYM$N5{?70(;;GvMg1#qGX;hkg?&9SRaMirCM}Ke%hLdpBNT1&i@?Hi=_u8-r@9OlfNIoW}G$|H#t$v~CkryEjHTYBz=jjJ=x!rf?+R4X zanFUwtj$Qfo0zH}-+)irbJFfvsJ%aFPe?npQ2RjAo|bm+LhXY|J1gx&3$+g??PX~n z$+dW-N`yi?>rva6YwPw{3hVuN)Sg(Vf3nc4TaVh)xqj51$+2S7M18TT;S;5z;= zj65qfii{0pJn=FzPcv86`6gEZd7j`~%Ok!M!#E#y{9Y&~y&T7!Q&gz+OA-%8sux zH|>awz16|d>y86)8ao?N)wmTuYIA|eXb&@*7#Z#6w_C*R&jif6U=Rs~1%}J=0t;mA z&k+T#2Q-*d{N_ox7+_A1+FQwE(>*3eNy(!)_b5R>J)&&sF}ILMj{+W>^w?|1-~#`M z5$HG_a{qc(WqE?AA>w3Jf|C@m*Pa66u`iMJFo`Id_P*m_JTv{kaaCzb+7BK3^vo1j zgdA&f-?WdCc1Fe@I}Vg)g=ZZ5^$D?FI}3zdiN*)noMPxWCsXvJ&q{0#7l=%8Yubm< z&ne(>TI;7CSzL+$1Cxld*S-YeAIprXU(r}&>h1q|$&zf$zVX0#d@=pEzbW?b7=UR- zb>K@E-xE=yxX6Sybfn<)sR`-ZHTt?6;5e%I8c1$|h~JDT5F>jF-Zr`7X#lgc{uB;% z0)TlkQ0GT@CPPHxeAFr1ug>uvCuT}8qQUw!&Rgjs{zk2|8KJd4J-+m0vTof}v-KbV zQnDg2Mv-cuMiG2Fdg&)E@NE*RIeIk^#h9)2xKKy4 zvq%}*$QTXO%wO)7prH`hjTNqy#x)`UMM8vM*#${8Y2G%IBd|<_Wq!ic} zv`1|`?3-)7hbP{$)_b_P-5zE=00%!}`omHmYh%l&UHcsx4x~*4QGkwTO&KM8!6e&{F$SZ52UO)gD__RjpkSAr!TRNajl3 z<2oj()bsrQe&5ggdHU(`b)4sQ-upGzz08t!2(c#3&H{Evd#(=lt&qP>kLl5EzSy!gR53>>z%WBwu7fuE}~)wSH_h)m~qubFyT>U2Uo4&BAm0R+`+3I(<>KI z$9W7Zz;}Ia1^zun#@t&7H4f7D5>Q9WvFC zDjVhVKzR(49dl$TPhxlq=NxI}Jmh~k6u4}dTUq|!j%6dqf`2Ce&p`>ViN&(H$|0+a zD-RjtsvFBh)k9Xbf*b3c#j``Uq;e4zhpaNLJY=;r9e97g5jID=OpW^_;zean(gI!Cq0%*(<76 za1l&su?YDcPV|bkauKpu;Cc(^s`UtAs+_AfRjflbjOIAU6q;qj~t<+&;lv+{H7mLd8R&t&+st1QMH7q1-fXIGu^KTmJ>BgS+U7mkNz zD=)Ja$a-9&Ih+5FD~FS^oM-HD5C7vb%GGhYVq(k*<{D7W*L7IWEdjuJ(UC3g;gA zMK;5E1_Bf-O<6iA}EMwgE;A)RQMpqf*Y7eXUsk2>nn93iK zEs+!8`uo5BV9#oYLpEb=E3Y0aqsCMtNfP_+W9u&!d3@}MKc-c=eq z7s396A5@Sbw!lkX33)nPWGHX7@FpL&UoS)a`VV^ne%rzzV-LjjFfZ&~4;kY-k=|v` ze-53^KAilYonKRi`0*9zvGH^S$QX|Y_{;6?jyld}Px;0u4ppEG(f_b^SeIIkhBC&Q z^768oqmi>(Msl;7F~my>eF!g`78S)6UkHE6S?sA8QLJ?Y$xwdSUv_SsQG;cS&G2w` zk}w(K%^xlqZz{KS#(ZRk>+kjmF@k&bWshMjk1%hhv0**s1oCYEUw+&K_Zz)rbCn)b8CUig##MU^6Y`5Bl|80v z1$&Hh7SDQ2--<<4^q826E#M80r=!0NS3G|8POWW*jd$OsI}{8DfZ$Jy$U~#>r4cwY=%W zbxfj+(W-R8%v8t3%4!$3POWUk!z#3XRM~1^YjS1lM`*3(NRc77NiG)0$OP@m0U z+p`(q270-pGOpY}#?Llzg|k5ZqEh7sR;|D?)>q7;as%f$cFILyM6Ql4!Upb=q1-@u z@C}YVGDM_I;0ErM;XfO=)^SkA|7_s=f8xpwWcxoy414IXoS?egM9dz~e2y@#Jc9H8 zi7Pjd?awxFrL({bv#8v_sukG44HdJf+(5ijDi`sr!=993l@5Da#?LzJSsDJ*Vci`U zWh^`FdsyKR$8R#k&T<}M)p424ibg+<$M2f6S!FX`EZ1d>gUeUxhmKn^#J)y<#W*m- z8GGRaKKLpKrpHg%Rn)u67uQ6`JsHXi2iDhj#wzNaxjVdM=z|3<#>A?lh79Fhn0%FZI{Y{-T32FP)e%tHD#t2=qfTXOBedd!H!^g^ z_c-NdmQ6uJ?=B-1lYEJdR)~CEOK4NET8qbmKAHDmq+nKN01Dw9CgO>C_2|T#1SG3 zs&uM|idFQIoob?^T}4>g3mEIG^nwm7;Qq%1_z=I0D}KcSgUahNta5_yF5_n>_?|MX za)R&ejPa>4Z+U=x9Wh8?Lz6_H;A!ZdS!z=`uv5>_e-sBN-t~v;Xp!66DnU4n;t1G;P6GpmsV%c@3Aak(ww?SIz6lbc4Dh`zEq|G<`MEniypILH&_^ z7ui_N5RFAM6qz_^7&IIj0gZ%4K_5Wz&}e83G!_~MjfWDT2~Z-G1Wkk{L6e~=&{XI{ z=p$$vG##1&;he0@gi;_YB!3jj2Bku2&}=9jnge|d&4n_cdC+`l0kjZW1lb|^vs0N+ z7L*MwftEs_K%YX(pykkK&!9_}252MnIkXA-0{RmA3fc^P4Q+w8 zLfbSsn(dk$a66$~XczPiv>W;s+5>$D?S=M1`=JBSLFf>47|PQe(HzCU$DrfT3C;JK zllb=s=oIuLj@20)tBaaTnqLtA3jK!MpU4$xu4`@}E`)9(cN@6}nunT4h>M`d&=cfK zkjGn*no_(5O0|$qgO*YkQq`aWpRkuTUTE`%e4y%Vtw9=DPZOK>2 zcI2yMd-6511KE-6M0O^-kdb5**_C{q>_&Dc-ynOCZ<0O9x5!@P+hlLD580QDCS%Bc zWPkDG&awIv5{D6!nN0Vd7vE(>%JefdF zAQQw3r;;C%ACc3@>EsMDnVgCKltO1EXOT8!Q=v3Qv&nRF4*O&V`=lKe zi=j-mWRcly|Ag%;(Y6X&&6YLfTDEUs`&Ve&%i4`Q_0!P zq?2>VkD1RP=QFc_Tu3freleNFOg6cMT*~~X=j&&&n#BC0Pzzd*l2zd^sVMV6Y0xDxgIms)^QhY+cRI8J(KUF7Rq16z3K%S5noebgG%?eNY)m#`z8TqqnHR~I$d{RK zMYd)pm^70i%!iQ?%(NlflCLoTD)|~S9mtMkC+545QOtBDUnjdU{|5OcGd;<-$X?9% zCi^lIO~#P@n16?Smznp-_sN0G4t{D6#SehfK|nek)-If3~k zauPF>$tmPi=075*Gc$usCTB8lC2h>4l4;~@GM$`5eoW3KGst=5e9mDZX=i3JnTdXr z1!Y4^prz0!Z21&!8T;c3_Q!RI*FzhijnL=NCRTnyeo1~sZYIAbw~$*=y^Su1+)nNw zcapi}F7g|4H~B5Ohy0G*OYS50lLyFy|+|23bhnByW*_ zk+;b^KNP@hEwVQ2>mpkZ zl7GM&S0!)_poWkMYQ$_~vI*;(Bin-RWfwVunh}SvJ(LVX91cY=Y6I7n?iILp(5sBv zldmD}z_~<`J;>f6m@ZQACTk8N#r!nX*w!qK*`WdW>QEiYtqU2Xj{PSLUIwa zOUTdAwu0G}X;OtzoGH5>Odb4&ix8Dc-m!)j~SR1yUhBt3hWZYm&aKdV#(UD(XV@p!&=NsNn_mkZ+Pb zS^YMBZ?X^B7uC^pF=RioKdaxRe~)~h9Ej>cbc4xQatN#A=!cQR$q}d?NjHl8fQ)DL zSo(3~crpRi6X+7jByu9Fr_fI&KO{dw^)$Na zUPzY>w**?s)=$V!*|G}R)tu`(X4jJ&klhG<&S(?)1>!HEub|D)*U%PdE3^&Dfwn_C zpq-o|m)wQ;8@k=(x8xr3J900%kK9ilAPYn zbT`Rci2s6aLwBIN(BIHK=sxrSdI&v&ilE2P6Q~$^3YBm!rEm^9!6T;VR|C$dm!pCooIi5`WG%8b`2yPNKy{&d zP<>_t;Tk{<8JWmNWMgETKutO47Uauh5NSqR2ows1LE)S#03|hfxCAkXmYG@6#7Fq|bhc-YPq0gaB&==5` z&{xoA=xb;Tv=!P0f0CCGU*UYN z!4)ufoxFj#knSejE!Ny&e3$&2yoa{?&;#fp^oZFa@-gBkbj5H_p%O-=oL3orImvfL zO7Zak9APb~bHzCyQXxGvu5boAH&^-U^q}`d){D-Y^dYO0HAo{WYSQ__`ElA>aJ89x zfvkhLE?qsi`cNR$0BQ)C*wP5DG1P=}Xb#tc`4`ET5Wh^`A_b zY%jXE;d;~cf$IxJLorZ4s6SiYfg1q53%$q8`)~uHLC|1kV&R5B7HB9lad5++;m`^3_XF0p{Gy@R0=sD!FA<(vZWdWt}6_36w<-D(5Y~GI#<#_ zx*_XskmHaiV=vMhSs$o6R0A?XH6dTN`jP%*0J629+RzJ79jGo;52_CZLJgpXkO^u8 zHHMl%O`&E`bEpOMBJ>jH`ZC!PaVxG{Fr1mW5Hb{T7+pAA1Z!Sl+>U&eY)`&Mc0gT6 zs1wwgnJ#1`;wY#q^g1)$$nNADWDoL9vM2c#s(aDBZP1tYL)0I72O0pq3%$qI_sM~X z2SJ0OSZD~d7Pz5M9HU|6aB>7W5^baCK7fmdMnhwuvCueZJX;gU31lL&Nput8CP9;- zDbQ5tL+B%D8Z@0%GstAbGochlR=8PoHZqk=Lv}Wl&S(z#F*%paK-)ZMKC}Q@2rYu_ z&|)YP%7U_?C7fa@`3d4rp=Ho=W!1FdCt9l0Ly252Lr&&f^X7vz^{ z`wH3&eGP4awnE#W9B4bV1KJ7YLc5@Epxw~7&>rYJXfL!6+7BIo4nl{Z!%!Y{1Ud>G zgN{QdpzooR&=1fluFa3+Y4Rsz&p<6U52he zSD}398dLyXhi*WH&`szT^cQp+x&z&X{)X;B_n`+|!b9>ASwuc2pOD3 zP?-#i`jURA^M?W$ z)q<-{_X1gmtV`BITYb7fvH{|TbSAP9;>J)Ds43J8YVIb-!I#KZWH1@(Ca>6EAv=;? z$u}`gPtNTvvKQjF>3YNUf%-zx%*2rW$o}Lz%cTs28w3r8VmbfetQdiKBs7ZA z2XOJwXhvhmv53b(8ago?>r+J|r-LDQh=T-q#F*bt{eY0zva9h$?I zkIA`+GoX2l=93E$FN79Bc4#q_31vaq&=OWHB|ky@Dcv%1IpWXgR*);nRmiTUTSKlz zybf9qZQ%NEBELes8Ty)Au!H;-@g7d~9l00rK4?FuI0Sc?`8>EIoZ=+h56qo{`w=<~ z{REwXerC&A@*Lvx&;{rsbP4(e`W5;O`W^ZM`V+d$DXx%L5$8kKpaSSRbOS1cZbG-9 zzo6UD9q2CfH`n(8r+-L3B8$k!sCYtGOg<$`$WqdQ3IUZdDku3#tx|l&3jJA2>PQz- zb;lI~aU?yd$Rp%Y@)&uXJVAa>o+N)D zPhnm^(w&C;iS7*C&va+WbL4qsFVJ0tyF~X3+^=-Mk-w9FAp0lXWwpMfM`!CVP{8$i8GW8AJ9X`(sJ(&<%ilm+n3CeR3eOgXjjs#nKIdv(ODC ze33&`p3#q)URENH>X`Oim%Ek{_btBl)%2 z(&=zBm`f&SGHa!uMcT+zGL4*#Y0{xNj6Q~&3uQ2x2R9#D04;5CmlbK`|+Op}E zkW0x=$WPI>jBYvHXLKvzR?@A4TTQnHZY|w9xb<`!;5O2I4!4Q!3-U|EUqPE0eGRt- z+RA7fnS*#c-43{&bh&W5pl=xMhWi%U!{|G5FXDZ4`^f`{4?>5a!%!Y{1Ud>GW5sc} z6VUgJPLe+$K1KH<+-c}1MrYuDraMcXBhMpyf$k!CiTnlGU!mWi-=ROCKcUOe73eCf z^5L#Q1w7I>m@6c2lDEjeP;nc&1KnljZ@7DO_u(Eu51~g;5wnjuzhe5Q$d=HRk`7Xk zWoRp>Q#|B2$WOYLYUyf$Bo_p!!fCD;kguNfX(KY)m#Go084Q=41=Mih$ZcZJ}47cF?O(d+0T&1Jn`f1a*eGK#@=s)D?Oi>IQX(-hg^Q zZ$dqxx1e6o+fZ+)57ZZmhGL+8P=DwhXaMvs^d9s+G!PoZEf`G3l0!%fIh2eehmpg{ z5#&g66!`%ePmU(XkYmYlWiLQW+=#JYY2O@pR0GlNVfXObzT z6&17SY;dV`X>hZlbVhT?kIA`Y204$MPc9%Al8Z$;f~QAhdV*{J={sUAK*^W{RnrO z?kBi2bU(wLr8`HSM|=Ug$mkN>FVL@yej|TJ{0H5iaF^+>z+Hv%8C`=bfUYyTK^BrX zk-Y`|#ppJ92k~9#Z|EL$A9?^igdRaf&|_9Ufh&fd%HJj{EoII@3bKqWM+Ls;Q;IJE zmufxv{0Gj3PKDD$u8@HlH#m2?YH%KOo^W1}H{=6VXSN2M5vs|^7tRmzXB0rzB5RW` zpsfyFU9uiopA1A>1G@eHKl6?*PN~e+>3NC!M#k^60Q|p5ZM}WFl1&F z0v8H}F$yOm5VxUg3-=0LJGfV&_KaSG>i~6R)QRkjxC>n*8HKnj^g7fH>JGgD^Y6GS3oPFRnTf^4YU?o2d#%TKpUaYp-r6X3-U|yD{?dWHMxb{N^T=_$nE3~awnNf z?!tV(fp$aRLVKX^puNyOR_up6KzEQlg!nL&2OWWqLdT%v&La&T>xY;Lg)sfV&7?f_{O1g?@v6_tceMhVtRBK?SV7PTn93k-Z7sg8uTTc468WGU%DyMW4|atPl@EX5BplxiUzc=GT~oMbP;;mSGcS7S zOIy_xs!_C{MDy1uL*Kn^B{ zp=~%cg6$*WM$vsh#w9XQ9rvOnG&==5`&{v#dGx;^Sh1^PR zBXdx<9ooTYCtNPHi_tf5yXn3q_mJNqyBFHWXg_&?YjPObJg&+2a3`T3pi|I~&}rx= z=nV8Tr#efXBhQl;&~}mT65KCzzry_n{m$qQ@=x+Ic?E4(x%>hy`!B?|*>VT&F5Ta3 ze?b3`RZr1Y!nhR9K_|R)rTBJlsm5Er7F^*B-tyJtM!J*LNDtDJ^g^9CosayLkkT56 zjdZ@u`jP%*0NQHN)rNZkssq)9>M>iN3`E?3t|6QWYUC}CbW^xy%s1y6wn7}lB?U8U zCPSDBqYoz|P}hd8E%^%B4%t^Z-wxjT(kMh-nSULw8(nv{zKOUe3|u?UAqFQ6?<6*9C5xZGRwq6-&BS(H#=1VoDyN*i>ONO!KopXsie}{H$Vz3q~mE zYPvy8K|>@a5SSt#6RZ>?l!fX-!+1Yo*D5}iQ87LO+o_ngj8I@~ifKCy)@PS9qcQDq zX0)i$${HhBaP~Y8fM&3!;Cv>++~eBYNS!Cp@x}isA0wfH6F6Y12xj9o~U8Q6E)0up~g$r zc%eob)f+X;c%#Nk*lntheYU|z81?#l`BP)=%3Y^g#>Q}S6f5?cKo`+i_u4c9T|{f$ zXVZ$sQxT-2Dh6zY&E#vZ(=MWzrtw;20O7*s4xwaz-B2jmaWlprB%aO+&GhC&LRfhaq(Pj1o5v5pW%L6Q%R>}h`78>jc zO^}tx9Ua270LNW+2o(D%`SZ2E{nLL^lEt>n977(u+q14!RK8~Zh%(_TM8LngRzbNi ztr$`E)c0w?zq?jmxoNW)QFh<=e!#!GmaQE7uuSgNa_m)UY-QNb%#>j}m=UOP$Qpqf zX>1PEFylZCGo`30ku{~Lk;Ybn8fHpR!^~6E6w8{YsFB82j2dQ&QNzp=)I63oPf#O` z?J;VYd5junics@N))b*e8rvh(F!KmC%sfQR16lJBHPYA~poW2t| zb`Leo+(XSh*|qMWYu$UUYYmCvtDw}HW5ZWz_NoqaE$oDSszBEg0;5lvF4tBjths8r zZkG)Q1-rzwXL5-!Z8;`P+b;@a3b9vS)&mJib+$X ztWgBUHN{th_0b)|t3ruWFywyKDZk|4WBHG8)t`g^;%-& zos0o?jvRUA0LzirW)Rc-?&R7Z;t*Kyou^fu{&`td49lWM{t}@rlNI(SSVMbOxMFk_ zii_`j-CiBGLYr*JNqNvgSoc~L^PoQzk+b5iVjf$r!GSB(phhFifBvE5)W53;nZ}{i z$YRZN#k*LneXe+qvsn9FF-9NES@&G=_ClSUv+lX#T`YEau6U2L*yXw6ErlxPtUgz~ zy%0TjuT_1nco&QH&lT@+7VDoY-csm_IlDeryuHv>&e`?3;$18@JXgF2#dfRCfER#4 z;1yuN3!qr!PmZ~Dpc78n4?0*ZFPg>W7T(-u*vnK*Bijzey&U;g+QoQ}Qq z^`7quB6nNnwk5*ZS1fbn*n3F60PwoNP>PXMps!fb2_6b-xngsm;SpL>s*TB(&vhI6_(05 zm;AdJ>nw{)o-5wsEPnd$V$As|il07LysPl3oOAKNi!oM<|mcplYtI!pruN2GE zak1Q{-WgI~*@g^H{mV_Y{^-oF}drulQaGi1ib)r?{Q?XBezF zpXTku_#-b-ZzK<1A+qsXg*TD|aRrNu?%_)38bY%YzsHkq4HoI%IjFJH#3!+!SkTH;pbtr0c99ZZ5h|k?vv*byIa=B3-qHx#@M`B3*9{#|Psh zM7par!p&f9Bi!6{ZPVSXZH1e=?v-?R>np;onyy`XHETQJ=AnBv-NX8-aP!o)PxrL8 z7j9m<*V4VPP&aRDu$xwA7U^26*-fWwEz%WTn{>m38bTW~K?w}PP-zNkte8R~VIq7L zQ#*{<%6*q2Q$%B2?zRiX1v8t2h(nct8OdCRoyn6 z0`Pq*VclxeB#)n!By`{4n)@4@PUv>4F4o;PTy%Y_s@88Y!0Ps>dg~q=&XwP(uGa4` z!(*{2$(qQSkwO#Yk6-*Aj`fLYGhXj#SS*@6>V7YGZTSolzN36blgllx34>vd4ZlPv z?-Y{#b@-VT;dy7s$neFeX?VHGHQ6j=`;FxNzCyOwx^s1?2)C8bXmPpWzb02|a`NiO zb&=IICWBa|7!2~bV$PSZUXAO1S(t5^N{d2^K{VEIu|Bv{K;y<#>2}b5U8n|obhHLj{e-CwC_9b|`!K!17?X!{irY_^%T`6aib7c@LbYpsaIm2oPl*}J0W{87gs)iX>!wl;lu@|U@HPysc#pH27 zv2+ruwsBP5m2OeObERign~l|@MDvZlQMESKiV|)c>qfO%*#Mc9YUCP^Rf=dHB@c^- zL1g16yl*5c?L~NA`3#ebP2tO7N$j#XvG8?^{z(m;UbrfDy}z>f3a(ooyIQ*HvByH9 zaW+T)NlCV(KK4P4zhX2r#f37?`1Xm9T|d){oU1WP{y@D$SX_&}bo!=>FdD*9fzBo? zcI$Cth>Ah_5*(&t51k%oYJ=#?3j0Ly*!4UraCwm53l(m~xWCYMMMXa>9rKX05D!?9 z|F+N-6ZNM#H3MtFg(?xf*@+k1QUd*hQzG zBv&Kt*=ig?gFJWi_s{B0pN_?^(Qx6{{<{adX!tS2AB0mZR8t zMNhniTa=|RPhJuEYHX1vWry5#WxhFAqyM!tby2w5YJ$G%-xR-#6)Tp-*=_4D+x232 zp_d*fyDYIFcJ7d6V^h+^JL6Lyt-hBWApD!)XRsjQ*41cm!IvN8O|ik{sZlRdcbOvA z7Mt3M!^Nhc?IorVak#`Ezm#paiKyLnz019mCE{Y4U3Dojri!k5qiVxAAzZ}0>!ygB zLKNP;{h;u%e`CxryD@I}Rk7}4V`^NMT@@}4=POkx+M2OGaV>3Pr_DK_3SFR2oFTT( z7?F~usjk1>uuv#Irl7TDSo-!dqv}$&4KH&J!pXfvt?{Xj)y3-{i4*ru-9A%z{+jsZ z@<7Ls;$e@(sC$ZLXL`$YVK4GiTFkL55UQWGi(awJ6fOZXdtg9CN2;b6j2?=I2=`P5 z8$CU>LfvT0?4jh?#OK(53*xZQE>BGnjhJyL*gcEE0{B23IsuFkO_^dAhvXnCgf- zijU6|>F&m&S!fpDtdz5}M&eenp_(%aeZ%e&hSgYa6ERqg$eZgw5zBMs#JVF`=Z0#x zdFk%LSky&{6f>h>W+`sRb$J5qM`g3fi7!y(-0^j8-#f-47p-v1TckggWj!xa6}f-R zY1lsoOTh4F`{yOGz1UO_9i_fFTg)AmE%Lq8yE9kT(2Jf~x)@A}8ERwiU&^)OWT&y8 zuZ49K+iYQ}*T+RAiuH;5Dc46vjS}le=|8yoVW*G8>W{S3++xvJHIdaZ@LV4!q7t1| zB5IVgN_6_jS%sHF-SMfnR~L%)*G^pS>F8Z7Vjc~+H}Lk5LNV;xsLRPd+tP(@gsKVG zD*?hh@tD#w-BL~HTiAUgw3ee7{p_luwLBE~DEwO%n_F#R*0<4|NVVF8Ua{%z>r{uZ z=lLovSKtQWNZI(+*628mu*_5ga!@BP`Mge~wM-Q=yH($4pXHDHg0%3C)BJMM#iI`E z(>#w@W{C@0>nv9#|7YP+W`Fd^+j3J}Q|#MayzPfYO=a)m4432kgnd?1<$kVtzR2sK zi;2`&;>C|OJl7iaQ*cZt;HGa@bB)NEmDs`fBvBDFBP|&wtfR1|aUC}ZSBL$mzp^(I z7o`)+W=8oQ5_$b>)`I!wRPj&=&i*W0mx|HY=4xz$an%^*r)xD)W z?pm%K7>+wlKOegm!;XEnzhd{-<37dxv0}{9YQ?ri#w>#tm(Aw+JC(XCAJ|3CyfGb& zlg!xUq5+EW{2bi)OpHbq5x=d*H(M5M+%F-ntDBD!j}W$w(x?VGE1^C$VWpOoTN zFtc0B`MMa?Sf=2y^BW?^{dz~cZ-7=jU8qL246sCsoyx-FF&}F-${{xkk6AK>yUzHl zuWn`+VH~haYkfst_O!Dp2jWE?VV?G>#$2=*Jz?rPjV{bXi^oR;ZD(v4C6dlH-e?V* zs}TcjCu}`aQ?kS+n;K~=zEGljvhZaYN%L0R6p|S zlulE{>Z#ffuYS-eUaXGSj&6)ACtNkzlMZ>$Q$@?q?0(^jHB@*h4ZMs;i^|2)nRTs~ zGPpOc__fR`cr0>~Vw46c=7~6I%46fJ6Y|)|UMBKC`0<_x23@giv|QEegGJO(=VC>t zsm{fUPVvsg%3(Qj-M(7mg>&RRaZfl$-d`>Y=g2$io)~jm(dV-M45(bc#L8rZvwM#}&&l{IJLyLiaun%ZM*=hlqXb5;xE$*4tuI ze@X3~R(W0bg0KXr0n6gi#1;L&$BnC_-D2gcMp?Yw(KGdLXa=O=#OkW3uJ#SCcrD{~ z(mpFcKwKybUM3eT@<00WsWB@_D=Z!KTC;0LM`6tJ)lOMtixQiCOTIYoPLd7#(pe#*eWxVG5i_(0oTIS9*bz!{&{kUpDi zLX9lAGP8?W6&W2nj+$0GXDT|Rxu}cAk|?5ex}Ba{TsC7o(hZayY4o}GH>O9m%@7v< z^I9Xm{wj>``{_JaT6c;Jjk9x!lq}h~e!7XF(i%Fe*tAPzYGPNmm8)^BcxD&-uRCzz z(N0z5>I&I&%~O`+Nd-8SO~hS5r;)2iYDYz~OGL_?xH{CC z6Or;B1Q!~jVWIOv16QZc3k@8CS!MD97xxAGr~R`&O2FpXVs1A>tT8JNy``((J@Y|g4WpVqhsiQ=6edfom56-Q7Wrk|n?&KHfNEEDvqF;jT!Y;i_? z2R#oW5adI+g**S=puaQZ_2VoV#PF3 z@&$n|5%^6-N0O`7vAWP-Yj{~P;11EII`4`^^6>xjnk3n$@ULTUf^db z+~tl-GQ0M0iBTsWmDqLHN{n9OY)P(f?oV#RggV^rCHsq5f*qcjgg&MpZ}-maYFsKW zVA7uqKawWer>6Ml%sGRza5X&Y`1ofSkDryC+@?CQ!=5wihR*CNvO3sny6TQEz_r99 zo&B5(dQ@`Gtg||M5qgw5|4e3-zvyW1jUy(9I9&GVB3|e|+k-)t5!GLB2TA`L}4Z{n+_& z8}y{S96hR_*c5>qAKU?z*i{z?ZgYk`#?6QW3#5oyr?|qNi^=DyIPjJ zwiEqCnSaK7OW}ofctmL#yt8)jY|)^rWyaBfX#v8b7-}2)1t=o7e{^)X*=!cMMsM$& z;e|K>&Fdd+Hy~rQKD=kV&=jY?{2RE6^U{j;pV_kw+PzDJ-Cw6|Z#P~Lot2y$`3g*$ z^8S2#Ka4H>NBjPKVeI;(+}=-K%04-&sXISsg7DY4SJf>RqFkXrn`eZ)JP zjJBe3^J5%AY_yL)NKA{F?&mqr@_{(t(sFrc9XWZFWybm1cot_o@2jAS|`?0hW)|Kv|>Y#zaSpaO|#Je{XN` zQ-(1$CfcqS;bvpnlY90HqOtOO1}}HpXW6s$+PzuWQLftd*=UNCO&4s6kpHNf-!laM z(IUvhnuslv}^Tc+`Rq=LcIn5EY~%@AQ(Ikr6Q zm4(>$23_;xTyKa5uTKleuW7h0>;}ap|LM-VBJVrruEP5c+*JnQZLs&NuY~sz(b2g$ z*x~gA4t89*9H{$5+pT6ZhKn+6L1QK7Z@dQOTARJZ6UCmb(|(pMj5yqF?e=rxEya9e zAD&6!a9_$WVmk!?(O$yl8NIDhWQERgH6fEb;W&wJlMN4h4Dh9vOCk5 zjVtP$qBx~}Hcm+e+ADU;9r-@KQFq8y*WT(WY@Ks5bCgY)!m>Qi z6YnQ>5a#S0B}d(W`{jZH4_&ya9KpDq*Pb20S_d_eDarQ_{D0>N znp5+%v5UmgmAFQ8!MJf+=Q&Tl&~ZkKERhdd#Jwb+D}_axNDMM|^|WqzhM1@3c;zVg z5W+mKSC8f-^;5*U0uPI6`(7{c&PLo7xnOWOt&`)=!VF=|4#faJ3>WRG1xoS6T1Ul{ z47UP+3 zTdo~Z#JxK$(&UslI`=x{VDIzf+w!ygVPfxX=90u-B`2i_uS1c4cbmg14@&;6ei+jF zc!-v1`LonpmV9wU*_P^g5FIH@Sw6=cc3O7qdFrOjwy9!M>aroL^mVR^2KxMEJIl}| z0Pw`cfC4Eg*gTZb{zza>mdJQ}j=3y{L86_w~jnKfLhFT=g=wlO{;@ zLB>aBe2{?&QfnYnLuP6q0~4gyM5d<9)Imi3n2b-~gbY>`LIx`eA%hi#kim*V$Y4bwWU!(TGFVXv8LTLT4Au@p z25YCs%83@KmeO?!#$<~FchoBG-{sh>x!Zc9XqmbyGQTjd41>9BFrF7^I5IO5j|6eS zcR-HXLJr$<)E08smZP?i!?ql?g&el!sEvVIua%>=ki)hd|AZX2<*1E;+Qz{f&z3oO zYvmY@(GH`!9Jb}CE#$B*M{POQrOHtoYZ!?eWn&g*_%s8fcB;Uzy{OhooG;{y^|a34 z4}CQ=V;(;FA(|XCyY5utCyANIr}>V?YgNpS9r2{4e8rj7(;ec+;4U&JYrSGj!?v5% zTqQrg-~nEYr#pc=fpcPb5ViOw?|cT24kDakzR z$uk^wrt=Ip?Xhs~rra2u9h@gOoE@AeH{sk(Pw>$N?k2lGHph8#6VBa)G2FSEus58$ zN!2*daX7j0q##dj!nvEyDZ;s%@aBtiH(|w`y9v*TxSMct6IT{uH(_YRU4V0FfJu)sb zs#a#S$Y^Co>vP4U0KHDd8(OL|&n7(Xq$GP>!6G~gU~a?m%~9he$6Oc+B#f!HNp^Ldw&HU0at|TfWwYG&NygN?DROLf zskprzoHJq?_D?)!`8w`qgm08(*iJ2;EcxTZjz)cI2oBub*c4l{I8-!Cf<{X-9vUgl z6!|_Lj4srMbriZ#wR%c2jC_}2LG0o={%+wxS=>0aAMQN=ABV%z0S*LD_ezReoBPN*5L$D6$$p^vR^ zRnsT?o{(=u1#Sw@6Xi21-Xf9j%*wYHL`xgqUceiS_-vsi&k*YqD{98gj-4Cl{}5B* z{hke)6Cymi7j|7{BVmhrHxPgKOKwib>gbsUp*>=GyiPIc@n)GC_0`Hx&*R?QSX89L zxk)X4;e4EueoNTn^d2TX-dS6tU!}N3ty(FJ6Cdkdke68Ut>{nB=P9DrU-klw#&SMu z^am7^E8cnZjPhJ*e=HvBj?c8G;^Pf?TdurfK6v}i^#Eq*x=N`Y6&@{mDe=#(VMh%{ zgj76smIu~uv&9SN+o;x0E8d>ADxzcc15uVC=kbP`eq{$^@kCtUd8r!9v^a0xpnN0zm zvzC}vibCZ-W;p2r9{2g+ao>bAonM-D8$M5xGtghN3Lm1#9-^3sU%*)B<%JJ?;v+o` zyz;O7QKsoER_Ur^^({%F(8c(qvC`l#VSM7NxPAYLUFeSKln6|R&Sp|vH4QDoe6fbc zxrj+=IYtC#7>wHmykG8j2#m=I6iJzq6pmYADA$5_z00W zIB;0($oM!h)IBheO_;BnI~v9C5s7jcabj}p=yCCJ6IzMbp%X`1;$F63J`<8g$0f89 z!;|7BB(|E6AS|uoM-FM3FhM9&;}XV>o$#_~V-5`q9fq^KIXK+XCbV^gXk`fv4;~UB zO+svUe%*@j2gJCd z2|0zFK*S;4Y3$f|;Vg}f7jnt5LpzTUu?f#l9-TNWLgt>WVeHVi#$n^fJU@Bl7?Cvk z`N<>4SjG+=IcE6t#hq~wuz^FdZ6cv_(uBmZqx%RMcZutqBxKlmY&`auC9zLpLS%v? zVQd11MU7*VC%Tg*Ha;GmXRzoUHz6rLv29zCG-gsl?6_vl#o$2nn%FUcVsKtJ(8Xjr(2Xw$J%=Pr>^RWq?eEJNdl;Zqq7hc6cP>Z?IP zL9K&=MUXitBq%f}Oaz4oMFh2J9VA+}ZXMj(+&V4u~!diy~i!gIoNLXlCmeZxay|(K;enM3^H&B0?j=L_~N*L`0i5L81*-u??0i+F*`tP$-a{ zEMIa0uQ}|zVX*?Qu%T@O8{k!H88J3t(6~gA&~oI2L1U8Q9r4YYD~@jH-`(*6#ftv@ zK_d43pkWCjc68jJ*r7ucMB6}TN+eXIL_*-m3G%}~71JhTS~tjXrUAx?ixR&{T$Q*k z@lrz|NFqccLZX8^&`!E2iQW>|C2mRFm3SZ#A_txbiFOhlBoZVh1Ly({Km5^pM+=EP zfM<1Mt$>;}YSgG%!>_uRr?+DZw$JgM#3_j@5+xEfngLBDA|$#?yeBbEB1K|}#OD&Z z5{Ch7C;ltl)v{FaaVW{9uR~eMfHAB?+42weJIi*p#GEh-ts~+!CB>m2 z?J!9ANXR~2dath>ZsdQmga7Zp|M&Jl>+p4+TO0ST)BnRcV~!;)Up6*qM)_c?OX~$+ zzx!)R{l_m>-+J`UcjrqkfA`cf!{Ae9>(_2sNZ0nuH@j@lZS;NW7Qd0|3m5;|_i_Ef z_g+X&&fc~#XWi;AhICwW!_pw+%g;Th)mpmc=inIwU8^^}y#K(OzHP>i9zEdYtxN9s zZhdi~%fc@rlv{P;H+yVb&~d7|{Eb%vrX98QZ~M{0*J6*1Ip6)OtT*?1w3_Xjp1$h$ zhf5Z}_s+Map?eQmzpwkoXoqf=ruNHQUg_r+yLE(@wf*XGpDg+K_~oUyM*Hk}_ph3b z^zq+#xqk9WJzt*zhmUR#Y1{VHsn~;4e*d*RIK2PVLjSfGz8bt>@POZQQ(k(z_)4{2 zLFbbrOunt&Eojy9uZeyCK3?OZXY?Og-5Y#;+Q;+vfRC2UO^qEtD7yQr7v~PjT0XGg z)1N~x)!(}J*wP1wUW~1Mb86B{F8$`7y^)^atFPAgt4aOcQXSuxcZwVM`^B{lJlvB{ zY8Jjbbk`q+15P)tHEGkGBWrsU#borlUK`*n=#kl)bQ)S-|Zv@OzH{MZufqE+<`3$xzB4bV+8t{~dYb9+y!&Bw*Pd8;wMSvUgbf4kXy3^S zdGq{-$wgakZ4Vso^WtNDr;=OsP9_XJ>i-~Qbe&o|FYesD1MXJzPy{4aKoEW?BDTUVx*y*gaI-K^odq;)SH4Xx>NdV%lD`Ie_G z>W;5tAM)Dyv6mY6i7uYIrpvYwX}G@j`>j{<+FE1W_1!A|xUc=O-M?z5^?Qgv|Ws>)jTRcmRK#C!VE#($rcQo6Aw z-MbvtZ^sk~$^{tJz0F5gOd%1SO7m%Ue%YW<%h=j6<69x{7C&;M{b5ICYKEjb=pt1Z z=~l*%!iQgPNvm@r3{JlA6yXLB=bfg3t^a!=j7l2ZV^AGZTOq?s90qDT3SSCTy08(H zz&U%g;V(8Wbxp_M;b#NKdykdh4Q+#z=cs2a;Yz|l`wW7@~qt=>mY{vqB1)bhu1{>BZ;9bJz=vR5QX!WDF z7(=62{VG63$EgUFc2J%kl-Xj0NCW$>VmFL#!(p&^sI#Dg3}IwebpPu zQ>52j0DfsnF&+VW4PgHTL(kiGSiM0e?WpR2x@pc1QGRWDB`|UxDLZEcC{PD>Ov1yS zq9nA)*_ZP?nIF0|jn@_F=N0W^xSi}aGm@;k*?)AYl=VJyK#S$y25#JmztN~a|7AVCqy&9FErXe3^LNC^%l~-KgwW`u zjipW-^vVD#gzoK2xf%$9DV|(sbD(nXBG=6A;##_x-O*?r{q`YEI>4=9=68=*<2K!u z*Mm1_>cS`lwp_G(NbMuB{v9FZ5Ni~0?-;!hXFueDhEclaNU#1w{@tcZmG1Ro^rz&n zbC5`lcNTxSWCOISXq6F#I%J+iiA~P-2u@`%Gu{;s^R|Go&Z}zEk+zL?GPr@*PcA&F>k%V7*d+a;egSR zVA82&%o5s4V8xDV+Wuk%I)lnv`2XJE#*S|$px@vD z0V%dkP)lL@j@Mcvq6YpIJ}bIid}5|0va!tgu00f^5*C$Tp59a2y`g7+rH~f%#(l#1 zN*m7S*>K<97%frxjvjq(4)I4pEs>ne{=0s-Gr2UV%WOa{*6$zJ7y%Z_9lG_&%Uhmv zJg?eE8~--hlck4Yr0O;3&N^7`l|~z(?p|#qr)RGC@{R?!`A@I`AWBg4XU5tJ0eS<# z#|v_vmt9Dg(dZc&Su8QqNsCQh+Jcwtu;ckHSnb#TF^ae|wU!+FV3w+Vu(4>Ou#k;3 zVD`nF+~t1Uw#?R7^@(F{xzx%~45b_*w4n&ecS-ecMSjVtH!TBz+@#C&#zy>X+QrF7 zD$3q0FI<2M9|i=zrlN4P{prm|w+gJL?TKBM%;VTEFGssIHKe@ZZVir^Oh}D^_8kpl z7ExJuHjLD*@`8}HpwLR9pk06+e4;wLD6^1B`v@6ZWHEQvvOYFpuiQy@Z@! zI&}FDdUN=t&g6py^%**ZRV)?Ff%~BUZG=du%nSWVSM#6mr&TR{w{6g&!YP&LLo6>h zVcjL_1Dd@R`vNLD!Jv+6;$lJrx`azP*>Qhx)%2?*DFtcX&yHBW3PKX{*3|%=ar2Ev?*z zI5Qdv<%aVqG%M&Z)-%ZOz6y5F^wmY41q~B-#q=UqqYR16(AYgxF{|&CwKZV0-xI0u z;6{Jp$X73=H`S2uPKAV%ayywMN8+Sn4p5LjrAGdV&|G=aC`;YE9o_+DKfEv^3iKT| zZ$tc=Jf+00B=shBfbZkNGZt^id5{d;$(**pNkK6=$J355HLsqeq3W+?zpJ6(;&=VjmFW%1yw_n-K9pw zW#|e=H>|Gk7b#k}ouP?88&go-lmJ#-kjhSpSEnB%+$_dAC!EHq(~u}_7gef-*X$N1 zpjJ>H9COFO)$jy3bOrgQCi8e>15p0k;!hr`1H9oeNFO}>r&MbQmt`-?Jr(i=y`03b zVc*ASs4A-^9@0Tk?_j&OO8#je58XG>fh*I)C=!Dg=RWO;(d}j_p`o8*b+zmoxP`HK z@+c>g9L0Qlfd+kVUg#fwHuNZ8jB{7n6%UPq$vbHAKLu`pFOi0glAfi}950*;OLmqZ z7G2y+kWs&=mH5XU+i(tYOSmV54GSqA%0*fKJlW*rlcvupqmIsw$D5P+XBc*Bzq`ia zauz|2A(padCv!EvkdaV7#j}F8oORJ})ov1!hpyMj^WAGlv0v6X5Hy`RD5*db?>5_Q zt!t8Vc;AOW9?fmNUmr(0<8g`FZCjfby^&_srsv@abdq>~{?xF5=*4#RUE}e$p;}Qm zX)$2@X*|0-b57-?T+mZ(^hIUt_X#oIE$OU z{L(EJ83HI)X0Jt~oqy6M(e+{1eFoz`)knVn<4u+gfX|-+?>n(BZ zwBVY#&hjA$<(#wtYmIROKgGZ3x3~&b!Kl@Hn?XIEdbl04he3rI)cICK93YRz%@dKv z+J~dvAa~b^tH+F&sAiCLekP-Cmd))JUi`&MKLl%78kB2QWaOE*S05>bUZ4SS%M9zy z{JQD&Ky(?pRx&?9cs@FH?N{ooC~aSd06Sak)gLl z;#~?arV3TtQ122taJVKyd&1GxJry0Lpb?y2HDxP8qH9fL-0mV7=(krkhYvLr2HXHDe=T>zQ*mD)`GaJ$KZLA0IrFgwm3TP+E9T13K!7Wo z0wI2d0<&U5T(HN%H|~q7)c(SkE~R3uQNg#@Z&l~x=rsg}Sz@$KLFf-~SzZk&b_mJE zh=bPJl^^L?UX_~1W1ur89*PlkH89*YytJ6DUfV{?DScM(5D*AMZ#UQV>q9N zR4Gt7P2&z7Rw;iqB0)S(EcEz04Fg)tk5(}YkpND(;Zhor;{Zmk+-#dtg#}F?C@6kq zODp~`3gRJ3(&_cJ#2$Ks|Wv~}QneXEf)y1dzJ_=q3YtiW9hfG+JoD^LIfL|hHc*?G0Bceo4CEkCR z7Vghiyj>$AvtGI&FGRdut%^ypzqyUBw82XaK}mjZv>ZNgET_@N@*`2>{LDlA&&@sj zpHGJTl1h=HSJl?vz>q8jtG+#$GiBnxxk;h`rC@KM8T2Q8TA z#SXrq;dovxCDAcI+!Le@upmSfCW2e(_E)+d+;d*-&U=W< zwu?z_nQulLv6EDTtV43!I%bTZ9!-$I4AMumlZ*9{*@s!gYKo?d>~$>q{icjna)M|s zxn-GG$7b=Kj`8_<`{x&zAv`IOFm<8halV#lxqH$iWHK@fLDPqr578-`3y0qycM>#QT!Q4Mm=+p*Xe0)MDb1A|{z?lrf4*iU#^?71tWid_qq4Cy zp1~vOyoEN0OJ5Au4 zIV|pi&u?%PFrJvcz@|%f7>Dj=wpV@+8x3TuVedK*P-<(U-}dJaBi1bBHNz*W-Gc2x zr|U-Ru))cwGl&XYn@-q*)Nr+U8hCL9Y8+cdpHaVEuUsGNJiAx8jVwI6scY}21FhK@ zDUZKi1pdIS`soc5r5lY_Az9T}_-ZZegF$TG&8D*;X_%aRXkz`NmLVpBwX>PEM#u^d z&W^e#@4}Z%Js~8cRj;#g`fPY>%utla_}XI@c} zo318eOw=)EyAB~?acp%PDt)JBV@c*Bwy1Am0Xu2?j1)JIv4xl$>f(zq$%T!zsZI8T zNCd^hKFUeHk8laFhuifsM+6jLcrqxF^!W{ux{#ULcj%zGUKkxlk}v=$6AK7rHAvZ$%i1-_H^cM^@pHC_4$ZX!~xv3jAd(3xNS`-jk!m>fLdMAR48NZ>xQ5gJExFATKoAs9|U zp0i-18YkHlp)nKkWNy`wGr}5q#;m&V(B(sSY{BW%-lc99b4zWJmN|!?=5%vb&r@+! z9Cv+B+>^zxBHSe3G3@%h^$$oLJv zJXwDCEDfy3K5}p{Zk&pJ9EDBALF>uqB#yUE;SY{LVnvT7znCs3ce27|-5rMJJ}15w zUUYxPhnC5;YJSGwl%O$3u2i!Z1@K*Kh^-uMWV>v*6XKY>*k?GUNia0abUP{I148-u z8vgSR#{IQEeN{@1rj!!3x)m!%vWaer}@1)^<_#GiT1b`pouc^D^!!hY;I2?>C-gf zcumK{`1Jr0&-bNfJoU<4kYC4^LMMOEA%qKqX_MOBAQ6DZ$zBk~L*S9uO#F)95SaIj zLe-E+nELt+YJFho>EcY(#AGowtn-#Ldz(h-7+tKNogBQ=gw~+JUX^toOF59II5Ev6 znK6LYhs8DV=wONErYAnza6fdGbs6qqAEwMrrP%^Ab#Ewn) zpvgo@!;=wV#trv@LzQG25LRifEHIKwEJ&l0kGG>P{?$MUJe zF{zufMvAw3PIWp%O^_0rrx=e9PPgWUT7Rc_D&ib7ipNm7e!^AGWau}`XgaT4#eE6>8}5;Gcxr`~XUXL( zm5P3_BPG{GaqbfJ$OTL6V^6zj9cT6rrZpMpE1uqn*DBWz2}jak)og1< z2gTPzf)bdj_TW8jlW2?U5>F0oJTu*1gUT)Lx8>%E1DNQ#4KmjsT*Cw+x-Fv_+uz=4 z4HsgBSptzZOPCmqpjdcVF;@A;zGTics^Ax%7R`o$B>xP9-+2W3wTQ%HjUepSBG`Y% zFpV*+50H#{u8qf7*8gE1oa%HP=L8N;AHl@ddmAo;VNk3)(d` z#cL03@((AELpT^p+tg1pzA?CxnREt6De8t?TSU&*)5(Br>^73%Q`=M^aJD{3lltOBhoVR!4S z<)Kr=yh4C@-{E~eJ&AH=%~Wx6!z>+ka`c~Dm9j-bw;D$j6H6ej9TNR?;yL4-ketn8MD?Lb&>%ZfmOosIuN)NX;25 zr4eFh8kL2M%w{dKyiD>i#h;Nf>U-Km%&jEAW zVoCcgl)V-58hdK-cqbau3ettg7Ux?$Jh3RRQb~#l(tv#^p3CdMkdKwPhrh&legJ)n zF4f2gecc3gPT9w`@Qcse#C1k7TrF*}P&>S8d$H8wz>$TWF_1I-PZiGJq+)n0xeYJ)qh*OG}OE1>f-WI34zVyw*xX!(=S%D4ZSj2v(1Q7Bu1&B9-gN2 zn9KK+GhuV@=ZM@>Tp)5PD`f>n1#<#}g}9wHxcdWZ!Og=Rqm(Qt^`R84`Clniqs6XvizVOg54{Rc{T{;ORinjy*iG7ceG zmg4-)PY0~t@Zm^>W;ZW5G+mBia*_ZTWZv1QZ#z8ty}+(w7si~78DvW$bIanm7-WYn z#n%Ryla{T&PX^jGq!5g>K<8u?ZMV$>E*dmKnj4s~t*g6abCpYS?Vwr!)2c7)LL3U` z9eVP4+{K`q(MBK%e2`b_8!N_sFC7_z6?X5}Rp@3`bAZPo!H#)e|CfmtNg)z}NNA^c z+hFw>?3K;vP*IPF$Cx1{6Tc$&MP zzRFpteT^xbAWyvM9Fc2^#mH0S?==Oewy)sh-`udp1OdxfaI$B!VN8We1s>&FZAn`$ zkIqAX(-tuM_@jVDAz+8TKk1dwdl5tkBCs4W7KD&z!e0j@v}}ReV1?8bLEhe@jp!x? zGz~P5CHEK)kvR67z?s=+C^jfGcrl`PiM-OgT8+0X6#D>}*;lO-3w}|Te3=(r=cA-F zj5lO2_-)!7zB%uMGAJCq6P$X#5%Rl`!Ro1NqWFfbpgW z5ng0V+1;ETzIBX@&A<8Wu)UW;$qno|c9c`V@JMq@h3bX3#z`}1g0ekOIvG)hgoB-> z&i9%LtVeTgW4?Nf6Atp%W<~i%>4EN9TFId9=W-~Dj=5&Y+rNDC_3%octh#CXwAX9Kwse;XpFu22M~!#}0c zGW^U#{GYP{|8vJbKE#g?@#91M_z*un#E%d0<3s%T5I;V|j}P(VL;UyTU2d--;3#f%}lM#U}Alj{sc@qG`;OVzgD6slVp#i~~mdzXrQfEno z*a(Zs zDH`TC9Nl^lh%15!un#(ta>o2IJD({TJls14a7LJ=wjNKykVoVVepwsFG}ANEnWsWe z4{Qc9aaa9YWW8zP$b5&YOEWC280qQf!!O zq*5X)Lyzz|s)&koYK{t>m!c$K>1Cx)H*0XF>h*=sAHlq#9e~>d|qF!dY$tHR)b?mWBEHdXPn4!4Ff(h9$2N} z_!2ao)b8VY18MzN<+6_j1W*n(6cUuBKv-(oE%2_OU+;Kof+2#Ji-CwNz?Ll#a=jR#_)RPs@q>K5N z4ayGu>Fav=booQreSIwL_WwSPW0uJo?K*N{mg_2c99Iz_dz-mX?aE zTh|F~42pw~(7yLWd@&hE3sf`gvk1I^J)eChGLm9@n_fCAD8GqeJ@77O=EB#|Z4 z^=W1CMYo#9cxJ6$*Id6Aa;0*KNq?J>U6PtS;^Kn^3NsvrNfZ2{_Y+L|vf6PhT{FhA z*e|HS?x^1!y#9_FjH5)@Q4pzs1kx6Bdlb(C7gQvvFEx3MxVL}%zC+yv#qaKr| z3t>;{3ZTSL1c1NgHt3`Tr+tFpiO4$3TnGptpT1V2;S(#vTPVuh;tvFC3_lK zzHx8h?v=PlP;-ubIz!`-*x{VlMm4tqb8awrg$mxge`d^~6@tS8@iZMcr>>}_y;7I^ zlJKYptiv;*wK-Dz(R?s$g&t0T)WBdnXwI!kCV1GKB;7m4Cq|Z01a&mIy{wwCeoOQN zIwBfIWCprgM^zInWh!No10z6oIQ3$w&n%PJbAw~y8`FfdbAqRlut`f9EiblhC&JL) zyG-*xtjJJcEWUK8ic2^X6(mx?l*paal8!d<(t*z7O-sLEk*5ije-#)hRj9ZKDZ=Q$+J2Jkuf5l zsrjQM`s-bQU?+M1VY1F-5w_)K#9NHCl8C&4khaNH6%OXDt<^eDx|6-x?HaWJ;DaE7 zw7b?*P2cz_X_Gz%c9J(f+_(f9WvXJCMvCC8s zHijUCSaYq&`$VxrU&na-BAQZ_d(e5}`^$w9OhiWDs6tJ_IIsG-A@h+y!`^-tQYn9s zsh9c`DqUgHtU}seY$Alb@FxZYe%|T7C7;t))%&=dBKvbjrbHi&9V{4=d6X2_+G#Cc z)h@UEA%A0I0#Wnqm5*=^D+{PUy1yB&!Sbczz*zHhN(a7m!R#Iwnhlb2UchGz_EwjD zSz8>5J+9Gn1zu$&#_w2|qLQ~w#m=c@ef7pI&9j2}gD#D@IFZ}gr+sVk3hJUxzM%~Os>PaCHj6~5v6%s%!%ogb;tj{MUsb=Dbb{vH(=kY%e^b2jSS@v6 z8}fBJr|C>K!vR_`6ZIYf!$(1)?gdKkd&r?!WH4@yGuZK%59`dV(HT&J4*7U{m1G2$ z+RPFuSM*%TwL{4>1tC(tmz0JZKq06Qqu0^yK6Wg;Yd)t5)A2hhOy4f zkxk<}S*(Q}z^9-Dx*-iHR?XF<5Lugfes?GSZNKdqAtSAIq5kXq`0jzHRFN=1SlPvp z!*65JJCi|P=%hPt03vem5y`eY2s4;kDr_x?&|g)5m}oeb)=Oqz+hqQFMF=URoUR#t zle*29lF$z|)KG-5A+8_jMtIvcXc82u3@x%@N{<@H-y1u!RN^$OUiMzHqLy7n_6{c| zn&jy`j&C?&i<(61eff)LQgwleANIgen}FZ~d)_dIEhd+OkG3lZhONRsQ=re#-J0fr zY89Be`eZtre;nwdgU^%w4nycH&g|15O=zsnRX+t*Q{2ZQ5vzhx@*pKBFzsC%g{X8% z#j+~FGvA};CZnH~h1;VnCmf~RR@G08DH2=Aj+g_ixIjoq`?t@|$c%z(bKOhq6S(Kl z{bH}kwVDmZ7=jKvaY4}z_5#`^wp8}wM)FNwaLK7H6_d1=R<}R_CMx#Wrr;u@!kv8v zmEOd8GeJp4<0@-d{L|_dV14d2FMvsXhif}dZh03ICcH|o-8%CL)A$z%z?II z$HTeu8k%=umN?o!?Npz9Vm-|9b$_ENT;(KV2KFd^CG7z+Hb;;4_jA}F7Z@UQd-~z3 zala`7hI==;>fk3`GEQ{|H$K1MwLUQYLWmy++U8{04u5TAz4{n>`F_5346~0#vofI} zv2}PfiV^J!mOXmN|Isyrw1W6u*%BBYa(m-2!&yLjV@t1-B8QsT7xrg~hy*4$ZEQd{ z-ZzTjFr&H@nVm6u#VLX->Kh{cBqxHfC3Tdg3;LJgC!5(24!?#HkrnNn?6V!B{x?$p z6(v4TL<2i(qa4jC9pGHcs6$7=QtgG*nY(P9Y8PU}xjNYyhhq~(7?h;(b7xYDoUZ40 zRpMov+dAG$kSu}m2x%mH1j8t2Eam1~G`8Q8P|3ldO+YVTxXZedEF7pElGRxk@9owP zGl=5z`^2(;15Og0D#@z5dVs?oai4yHGG`~oVldUEXFayMkkL@B1-ItYxzB{S^6hV1 zb{ln`;4b^)RjAhKS07?vBMrQemc9EFi91%@(6Ne>5%T{-r#y~}z58_Hr^TiZenvnE5 zU=o_#W{*~f)PPNmY=-O2vX&XC#H)v`CiX>Of!~^j?{?yB6OS%e8i`Ywmp9h1?6-rH z>3@R_O~UljcfBKXAv+YS6;aagpm^tHL;gU;!t-M8>55=e+{7JkH<0hTkqA;Y+78+* zh>SO>2u}$x6YpZ>mtJcHaOg7n9%qm7DH%HFA z-+8Yt6@<ghr>&y7Hu>Q~>C;*th=R!rS@G5in zH-KF2De=vUSLNm|#C!SCwzpP`CuqFFiA`i_RH3xJA_6?$Zq*mDiqS0mNuNNd-tB2C z;v?+d1KnE)d#jiJW$>WiUiYux2;xmgexW7+CU$TPhM7zPZ=ln;B%W{PK@< zeIk4O*m*4zB3I$d^IJLN&niz!dUeg_DBSF;=LG)+U9?2=siNE zR4>i!qs}O%o$!eGnN@?ufZHV6U}2`m36T(Y&(tA^JYw0r^4BLr>S($fin_mP@$~{( zBp?N!D!R)x(_^5}x$7914@El07juRN@tWQY#Q@Y$;ciX<>SdJ0%Tj1XdQf!r9i<8g z+{bD860D$gVahu-Ly)MBbp%4EU_9_BzfHkzLCW8%HEOs+as(vx2OEmg2u<@)a0{LM zYuIuBw-52t$N%*4KYjd9AOF+G|Mc-cef&=!|I^3+^zlD^{7)bM)5rhx@&7OM@f}(q z98Fjyivw4No1U(*cS(Vh*V~Q$#{y@72VS~xaH4Qj{+nd`kjwJ%TkY!1?2-e2fKeQjO+#65R$K@hibnnlI&fI zZX?X<4b5=BWuQuc(W`B3JzSCq30iO0P8xoDcal2#BxsCe;bHXzufghhW5y1nslp#^ z;Ti-ij})19Xcyy2G?gMlvmmNdQ+EsDyj^)Wzz^YSK~`PO9qBi_M76ko?a)}SC-(l1KqOi@INXWaJaA7!*Qq=ur<(G}1Sh|LlijSK&vSG<42>PI%IK)y zm(bHggh|fYSLC2lPoFtt#V49ATl39$O}PFB?R~RvR+q2OKPz0ZWRjXVKI2u6OZ*8f z6QB6}h#*=^eEg=~d)Z34+fu)tIzll*aoXM!t#?5k+6Sw@1yfA?h`*f~r>d;{cky;G z9=k19+lz-8apXfvdiQm1kfEHNGNm3u*khrUokzf4gzf;9n9p_$4# zc$;`i$GUR(;_B1mp51G<@BX4^Mu47RYeF2)VaEzi6BU0`2L}jly``U%1PXhz2~mVj zPiEU#L8e7b1BD)*zZWmjDTS(R!A<&nWek@+oa?q7`s!Y7Yo zpq>*}J6CuTa0ERCSp!WU7iKIJfT7iqI)!u%SYX2R;{0U_p=}*97ef$x)Js1c5$s+? zZWE|izF*Pgf_lsJl|0g9QM6P@2}f+AG(yH$lq0)JFnK2`WcuO?=JqKzf9F~k|W6C;1@Osd% z?r|H25{rwEMp5PxozH1oE``5%MpHs6$YiL)*}e!K_ILvgxC3{P!i1{Nh0=XOQ1cQ0gYr6JyBzc#;}YksLT2O!Xh&aGzyQb8J`U5c z9_HV^41W`iZWmJn_HG%GzFWNt&%;Ig-{J}|9MFIJ5dH77|G$=3{qO!@K<@#-J5ezz z4vT|EkeCx!PibJv&?wWTW$xt^u0VNiLGz;R(Gj{De(BB-iMx%!Ukukw+tgh-hwqb#~Hfv-$h$cP`Xv+PH(IuOI=V-1L_8I!=Y`pwO1@FSYm z<6YvL2Sqg-6jqcc>MUL@?L4k12-jP1rUn27ZaH=GF{%Hy8<(#GJCVjso94~+JFE;g z%E5DkB3@4hZ6?E-c{yajCxaNfK}qk{OXt5{t^LQO;Y5N)yje}LIe}3#{WR1!w0mFc zKDa)W^ty+L$${rB@?9PEzaki;y^j^$jEt6goT2)Zf9*q>pEkDIp1CE$=wZR1kin$E zY)(#~#vLbkh+_2ugDiuiXvGHpv^@51Wg8qiBZZ?Q#p@QHGw`1{(v%p(HJ2fxqEi=J z$z3BwWu~JNs38vq+1Oz4l+>lCH*;V9{z{^lH8>|EMh$txCt)bvP@pTnrLrkzV-b8% z{kY!Fp|U@NGP-795vpoCoqfCdYYv-H81nl3jStn?=DXwAse=HfQT)_$E_bQ&=}D4l z4xoE!Pz_r}+>+Lw`&C9vwV!+QW#s2PlFBrY-)R)+cL2v_kCuvr$nM)U?oPvMKl{|0 z&xUY$E?SO!4Cp%uNJ5&ut?Am5sP28%DEjtoTd$%?tkO24H)=3e`lK`)-I#I!9 z&qBFfN>X$*aOuW?=JDQI?M_EBGFVU}$)*u|tT@0ZgwF!%2~Cp9K--ENO-o@EwMR0_ zXHH-_kp@7O`#u;$p$CWMday2hpK$t>N6U7EIr-fPYTFk?BTy3lmw`P(S1}z`3e+h9 z#7!O|q|+CU5gYaB>#sYOf{L6;a#SWbfwR1s7|vWZ%>ngQYIMXz>*fJUKX8$jAQC)d zO6asCD>>MIN4GGC3qX^`G&T#s$DGZoXODDy6YUZQ8x&(WKKD@D_Sn%O?(7!AIyEd zw$=(cUTHW2PbDKCP?f)N&3kS7GN0+F$2S~0|t`X(;XOfyzv-kJ*B&TVmh;SSFG^` z*S4uHIOu}Z_LD`++zJ>PyUGBxFPomNRj_li-=wNpRfAa_$zMfklxWTtTc=I$wKP8w{6z3W!4C!hH&C#)xK5J5X{6&6feyBmd^2dA8JMy-ebl zLyC>vFkmeQaTEq)IA^HgyBV{6zOUw(UXSXD5|<+~F)7nj{LL&@MsZOHq1+doqZmR` zSy&w{HK2Y|st>-0fJhB>XverE(Qm7X=igDaJ|cMamF0X- z1!}@WO-T-yp$Lid7QaYl4EFeVxofuXGM+52X~4O;HfI#!a3Qx-=PT`h6#PW+6TuG! zKNS3rQ*dV>>=i4t<G@+U5>#dOUzqD(zP?3h6DyPi%ZGuSEKXRYe*) zNKYYqALRVAM9-r2kh9r3pH8pbLsGLzV!Sod7;y*@=6E`r+Yi~)Oytyi3;Xa zwTAZi?JN!-^VXter=?DM(FG4*;->s7`Tad$l(_Q^IJCe7@fE0p_ zf$B}_+}COXp6KJ7keqn@B*m5$MGmy4P12oOahe5sZ68&79TX(%g|sDN)v<^n`=Jc{ z)r(^ytx2LDWe74n6A$(`i!IVrGHPn~NQ*oRdh#*__HyP2LJEB4ljI3OORh8N`>=riXaU^8b z*lE|==%2)c`w>+IRT>pV>gueT^ILB=PDY@wD~iHF8pIsnL`@y+TEe`mdHgoh9_KkG zo!iVjrfYQg=0u*CqQMS2JFHc90B~xkJm!Djf}aR}BKV=;hl2lc3N%Nt5;kg*HuyPl zI&(9Vf@pqQ>O+X+19wlBcWnoZ0^d-jhJdL$aW}Io_`tWZD}JnweD(P$DK=)YUeUzt z!|r>zAN2%{m{TMR6k~nWpi*J#6 zNPl;%ib!6?=`!?Th!!JCuY_9}TtKFuisYYzA}1f13}AC{IR$#9@oBMPXF$`<%e&v+ zw{;3+Qi~@3Z(Cn{%AgZ{kM>ygiJ*B(6kxP`F_m|cOcH52M+6nP4Jr(jk0?4eH_pfF zwl&qNLR!KL6&*DYt34;pIfjW}HRw@gk&S_a^EE7L{e^?Q1rSo(ZWUkCEaADWq+=~` zgJ;xW#yE>_Sn=z6>_k>KkQQ;5h(GU z8r+)qF@5F>geHXKr;!kf0q z@pgkpaI?fzgW~@8E%=GxCxRaeJntLySF&+K$mgAEAP@DjAGpb)N2!RAun*A4Tj5Nw zDHl$fjz8R;*ja>9b<{5vdtxCdd*x_ei($~Ci4dQWnWbi!Zb9dF!!sGdo(DusDm-A_ z)F)4Z%E`61xNJ*qDC*pl z3WMTl2E!)lMXyozNqlOt?x2;Qcz;FEgcDEm)kpVax3S3duRIj}VxnRp5h{SZcPuK% zIf;)E6q3q*T{QyQC#l23%*HSv|B|!Cx2y6JvO}M#d8%d= z;ajio2HWFKOiL$6M$!vK`ZA;cAR(%%%BnR4Ye>K*+1kw)eT$xv0m9Z=4$ z7W|qZqUs1T#7UiheP-Z=UY=irOq9nnISY`-znh6*$JQM@)l2L2wq_8NPZ zQ;jme^^7@`P}beEcy;Dtr9Bg9-Rjs6-0GG)cug=6i@^85op6P$2|&d+IZZsxEPDt2 zxc575V9F?;zw&FYRe4{~BAlZZ2C8XK-hKC^Ra+yh z4#*A1k_y?P!XO>$zX*C%B{U2onyJhdibq(3B6`dWbgN76h#i_`vTU0%L3<;oG#@wnvD`hZ|GF8?$ zk&i(jMscf7$Cu!P#w9p9bXqpwUZqLGIl_#<`azNAnmp*;+9Uft?N%&U;r5l{=KZO4 zp$an;WNK5k`2x<_R3Xdm{Rit8NjId(+>@&xnC9tc`ft4Wrkju0z7>p2r^m#?ZZio> zdBKL3*@5g@bH_)pZvlzGN_+Dp02gX{karftIpLaV1SS9`92cHXr|mK_KNU`zR^rX_ zbq7Q1@VTeA6f3BoT!;K5MO>mI<&7~l`85nCQ46TQD-iuBf}aR}DEN;8f!A&jmVyND z@16BhzX)cPbUmbtlYLM%Tl>s~bQp3lB0XCNRmQ|N-7^~_#WYiXFeMu_u(00Tf6O76 zn6I`_MxuVBh3?{c^4;QIUao`=j+yY@R1V}9;p5Cu{^7}Qg!|NYbpJ#vxMezx(<7KHrrQS9YoriLP+m$! zEXb1QRxm?LAl&j{rq90<5sFu4dG*N?q@_e5oxsIJ`^kcN`rRF$#7rq4P@1;__Xu`E zrFBIpNwz2hszCjmmfnoY11#dmbQv*tOVZtE52d;5Baad!$KyDX*kIp+%=VHROg_j9 z$PgGY^w}7*ab&3KYUNuEYQzi11tB4GEx`Vwj>t1l;KlR_xn$Phctlu8iKe%i4~TRP zkCIM$VVx}xgFAN~&_5CUMDRnw4+Z}>P(WUsaY>Z-;zyCv2)$zIRBpXCRXRI$i#>W6 zRUA#=L767xnu2ZrwAiDaQ$aia21g$vl8&6}#yQfC)is7Whf){A8p>dU3mErS_4dI? zVc5{k|NGRbj{@AfpBb-{<_9Zvl?cmv9C)%_9PbPw(JvilWUzy+0p~?uZNfFN=ofu)Ql|m9sRZF1=9j z;OetWz2+zkS8b?$Gvv8W`Le%~ky@Xp=Jc91ZT7aOUT?yQ3b^fU>}cVOg24Wxz*$4P zk{IvvXf_;Lvm4~-0u)Vo{~%n8#Kh?veor_O3t<5P@0UH}hF0&d!m}*iez9dA*tI;n zuTpOH=@x7{oSvZ!KDI-v#h;2_j7JB*E)F;U_aBOVs)lU3Wx^e-J za9(&A?4dP`MYQU*yrzE}u+)i87#`wA5)u%z^PxpY9fP)Pp1HvWE$@!(5y}f$GNMumWG1vCs?3o2t6nj6EY?YQ$rEmxM{7F!Ow6}!!N?)UZ)_6Oa){RU{i45l(N-4 zFy;&sXPzMTx!};|gFbNw@t4)-EmjET7XC^q?GRt$W6fgW*Z_?GyX9 zeVLpdFrygaOk_zZ2Fm&?P-7vk_M>sQyqM3{u7}e&M2yY<*nBx$I4kt~%=DnySWqsl zX_!rC&RPQi8g#9_XOp{QLEYx>EDW%Ax3EDB%;p=&M|tJbt<*-4MV59+YW}$7-Cvw% zff3cLh#gnsvrz*G`87`y+4Kfv6`4v`tNT}=GR%L~f8J(!Di}fqDl8!6ElLXshph3Z z70NIK6oTwTVj1Vd$!G8KKDUm4E(R&-|Iwb#oRpM{#Ud}A5<&yb8UJ9#U z;}m&0)Jk$pl&c&*CD#MTOGP9#ateoOA}X7ey1p19bz?@xXQWNrn1REm#5x1}fC27L z0uoi2-_GbBa<4I0^6f{XH1kR~P7LD9 zW6Sb?tAtdG?{ymuHY%yDC3*SiB4&%YGts3!897e@J|%ezmlQ}dKOq)W zkJG2&-X=mdZWbl=yoizP8bViTr6M$=JRO$cV88<7q9z*K|B-G2vA@gZs0+o8_;t>_ z?29A#`VZwKSYO~FeWuTpE_mw8EOI$738;S~-j12SuOZM8g$K-TeiuPM`tQynPvC@T zOTQ$y&+znN*D!zx{{T%!9~k?90V0QYfHn)qBPhq11t6(%0@|y)VO*NDvQpOTtf+8B z3>>n$g-OzwR4Y!8_#T~zkM4O89cdRmT*KJ!iX5J-4Mv%Q1j${b37`>bEAm{m6%yqG z@0BYk+ll96azvsVCAipNPi1`P4*xsczCzbS6@zC7%Q9N}(?Y}kK{j5{5!*K~$WiP1 z$-0NvXff^$FNOY`1mp7#DLkvAv4b5%8w2%LO%)z2f|e1MG2~{4+qHD+6*TmKgONzn zc@1cU9l%Q)Z|b`YU6&h&MbhB;BONNyXwvN){>`xK7y6^WylX`EXqgxA9Z#Ba4E}Am+LJ zXA%3M+R{Z@t$2Q<*x~`!ZoM#cjLxZLEc<`~b*{D3ORfAR z^)|~DnpP-7GWA1NhQP#u2(u1!AjoqoDXh+o`X6t6AoY!A0u+t6dl>g`&hxk^=qMCN zA~Aad%*60jw1(AG`1E`mI&*g^$l+bupqm#OoYus=KqJN_zb03PSd)dZn~H*6PXr)H5TU3BN%Th_>S4>HS{+R z`Yxd2$%C00g8lESVeW1YsKWqJV*`f|FLQJ2v;9V9ll=t`Szj=mqr|I0c1*EGz|< zj?4^2IqfJk-=%5x4;M1!^xK?CJfP+utNngv;FApNn=s&M`bq@d*DQvpEeK6dC^m13 z@2MiGkE)M13)#0@mgE#kfPN^WYGjXsKz0{aXnsY%+*n)qXcE&IjJaMCwazERSC%BO zy_TpnRm{7GayZEdek`##7})&*XzZmKMmCj#S%M}nbNrxNN36)E8oZ&FiwhY#Q5K$b zl}-!|VDYTEmAns7S&6&W5D>lp!fAOFyePHD-EctT!n_OkpyDWw?LjWumQ?`82_txg z9}Gq(`-b3a#%s-t!r=xN1Bi_U>jDa^cjbJLej|8q z9pTGyCLJ5veb zIf}H|)>K$S;bR_NatLf2)HJ=`0xJ^rcX)$CRPVrD9gq1{5h|qE(5Ng#)G20TV@3Hr z;472zhC?70m~+jDK{*gyO<^$%OP^uU$_4{T`u&0B4YO9=NUs_8Y%waD`|A zGOPnrz8pp{Uh;EtIiSe3J_7V7hc{fX#||l}iC5pC{!{7-sXP|-%N^6?H`(}Cyy1x) z#0NBzQX2&OfC1=D4Uz1Z(bn?{KG;QD`xmbGSrz}`Q-QGR0`9`VG zy!Ms3tq>Ep>{FLATpo8>^}XtiWF>7;`sCn7yHjkcEoZ=0BH90ZgdLg&op4kYLDbRjZ?);bD^Xf5;1ycR&uTSCO^k4#Fm-7tC*q@6Sx}5sNfC&450g8EqMvQaYZr{mh(XoRP4I7Ok z9l!abBx{&!>V$v}DCCoqcw}Xq^!@_iCrBD=PI}^>t%M1GvNkW}mzrUW4oX+Xgr?b( zvcQRKNVJQZZOCcmh+79jvnYSWw)DdNK|Hc5%w72n9yrzC5dWxms$jl!)-6g>WZ zG0mEDWbkNb4;8uciGoWR=JQeMlX^{}hg0=^1uYoEEr$C~CX@J`B1dLI4aNQwmT46G*~wFU$c`NIlW&w6q>h$?R*&f%mKC^7r8pYao~L zn;${;63{?SN{^+nAJgHQVfZ+VV(GEpo@e(Q6i~w&qf}x}e>4gO;9gd$@25}Wf$Mr_ z$w0m(ZuqDG1wd~Rg3|$8Dy8b6)&l$y!5jeh`ovv>gScC+vlfgOFWr_e!Fr15F(6pK zsqFS6Z7cJ0bxM&Vg^}mw3)^KVY-kwD`eRxpm*@nU0escoj>|gO6ivr$gL6-qQf3A( zfmgYKd)Xt{9TF;viSLpi5$8xKmI!9Dv(!;wQqr(0aK_X2PRp&M)OV7xz)a~5_>Ou1 zG?M^o6NalI>Ag$^KSFun9JILq!q0=QSk~Q6FdF<84tU-f&eQ(EeY-CJvQpiOr~u;E zg~F^9pGE)Lc)I{vWEEs5_~vewihnW|`+xzoT!W9Brl-sEO*hQGboj4QA!%TET!5ws zy}YeA5BLb%Sp1mc>qMZ?P34^jv`Psj3DkOFNwxzea@J1#$Fm(x4yJdC*^)+Y=TP_x zCogn}c2=Vd(i(v~(Zl;D89yu^7ykDV*-AAq&Q5=2P$lUF{0=oXCI(_UB#S+B+W-J+ zy5aW{VxF`omz?AOA@#-)BA8`2q8FvY{PGmc-%`B~n+U+FJ8v3xnHIx_?Wbn&kr2R%VQ^kIlF7_M)wveO;)t_ zF&L~f&fxm?(F9iCX{F9<9H`+xz- z5@+MnIRXvD6nbpC!-FCt5OOy56m3q z@vR^k1Td%$DrEM06>{sXvWC*zUoyN*Nj7Ttd%>aNH8>QOSA5uqUTnPvVb#aKLfz6h zyC`B7v=JE-{&ZZ~+lLIINt@L>TsplzLRUkIC+ll7eyFq6@6z=y+>3^4GqxK_BT__1 zgm*K?9Nj>dR-g2D;!2>p5sQX@uCF5(@&PFn+-Lc{+9?)^P?EODwHojA576Tr`pC-v zG}gH0L7*9}DhV&-x#>WrUNEqPs^xF272^3&SF$YDlE zP>oF-O#8{(2NrDifAH(@L1G2_fB~29IutWoeZk4cd-@aWT%wU zBp-2)r!nVVDrv@P{79zkKQ+>6VHtg5Wr{nS+cfTW>kpoT6iKr$BG@2P%_Y-86T+j% zS8S)i#AX!;X}iYngehPNeH5)BS`sOnQ&+NB$2Ws3LR46Sr#pyA_U<>Yc^sF|LL7Urg?R5oWo(T#!p>$LIHzMF@QTfM8mI~YvE3-@F(B}lW}_)KToC^yE!LRW ze@6Dg*=KQ0SUL~&u&RZ}Z5@<0bQ>{{kPfx_P7G~${Rj~$W@P}28WMop`W^F&s|Z3T zcvU?_jtoN!2&ziAfE?fO8lIBf0Gra6IvT6T_W>*n3bjD2Lo%&-Qg~Qf_xP%%lg$5k z+V6B_{^a1XT>>m%D?ebaCQ&@T4CdmmtCe+ook61j$Agxh@VtESlm+{M0bnA*7x1d6 z;k@SXs}0C9dcz;BcySnN4L70;RjV$BEI{S+m)IRSnre-{C4mJYiV3)Irm4ktPMx7Q zYqBIzA+&oT@tbI9I>!_7`3diOLrNBY#%LNijgg6k0mPz(EKU|33nrD9T;U#N-7Oji zZ8Hm$MBE54RhbNYfE1MO9945ZY!@M1Nf)MPtbWXJ6j2P9+A#gQTM5WyfLt(1DlxkU zfovZ{357*R*I&>gXnkB&;Ks??$Vkj`DvIy6Dv97Hw$m13_`qD)5%+X7CBLleiWOIk zJdzfe^zUtB2TcyC5~u*aj2o*=Fgll)*kb$F4~>Ls=!3%YgO@BY6YZLSFOzVBw>1sl zyl-W?=&vJTn&_4ef|UG~5fdU&# zFV_p;xjZH*=xjpL!&#v+$WIYTP$rs%Os-u2;OY1N2t5!Y^42@i^5)_jMgK8j%u%f12_4^@a>Y3Ze{4lWCDrA@c!cnY`CZBsEZ?Wb4XDP|Afk`queZ z4q?N^$5!8BB^CI{f`>3``m0!~N}l-@{swV45E{)!{NpuILG_>zB@K>6Lu!+&w0u^M z2Rz4(3|hLqHwn%+7j#MfLrIoh5(;PZ{Y12h>_>9EFE`Z&et&lq8GxC{epKhUDm&M??<7t9d!#Bwup<~go7=H=lgc1= zAde+ymNNnbZ!R|ooE4(6<%(eq!ngD-C{X7KaT_{HAmoNyxJzeTeFSic6N*JyKuHsm zke+cGeePaQ*U+X>0H5flFwLFHgLz6(tTgYmARp*FQb<-XgR^VgB@cN_6RcSuBSiu< zot15-13kYPfeoGhW_t^{aFmyiKh?gABsd1070^qOtPJO9`XrS^k&;Engyu!5TjaRt3L7Vk9~1)>E_7hR7{mJ)Y2L0hWQI+ZLt-;`TwHX+ z{D>PCgJ~(YMz#XxyNylUPONn(xInrlQ#H~p)+L1~9sx+j7Fi{iM{S|0oxKGE3}P2K zi7j!#cn3Hupg*?~*Vu7C^I{qU8rjXXou@i@PxtqV+ojDGC%~_}IMtZbnJ(~rOB5s! z?zlP#*19<(*C|PeE;$61I^A20#GNR215-)D#4GGEOxjr zB|M@qd^5JV$OF8iJ730{og6_gMWMSk5BE(J+rS=n^dkeB zgDzj&EPHw1wC*LlyOl8`PakboXik%I&4{N2FDedw7yF)Y@7?PO?PkLgG5WF=VS%BP zf1*hS-oc&A$=V`%EARd(3b2Qe9MKlHb6!RQyoojl8^XWmZ)B1|d44SeU)EBnq1${0 zgD5sBubhMp6E|}scmp%|{LcfQTO%IwN~wvw#~q`L!A8ln{<1K$nJQ9GkR?J5!JT2C~a z8d2vF2rrERxh$-TMLDZHB+uXHF`43920o5T6ILIBTq!WL$&wj=?6FtZvCoQqCuqLY z)Paj{)j;j}wnFO*OyT%h?Do!5dn=a3WF}W>CIiuinmk$95QG%}hQ-c#C8+UQSif)= z2D&8f3{FQUiyii}>z!OLt<-QaSJHGC-|?igF3x;M7%VtIN{ zRYLk{C+9W`8RG3Gvf<(+?(^7fywbJ|`<}I_ozT6R!l>W&8&t2W8m6ql%^qq47-kjX|I5Qu zRJY>r10H~=`*Di0)FwLQtQ$(XmPjrtfFP#vRFyO0M-V#D9;EBo&T%sS8}HUwWy>eN zBp>oGR43GAb3icRQs%X=oq& znxnz2&B1YBpA~KGWEHerLYi~j637SrVoqueMXJ%{cDL70xwHATQ;V+}V7Dst5dDLQ z2Xz`^Xi6O-#aM0I#r~cd?PB%TDQN8i9;>3ZV=Jl4Ap=-mb+n7oV~>he4^x_ru(JTH zn~v)M&D7kvY_%!;I~fy3m>BBJ@BN1uyJ8Pq()vtRg7j@``lL`_NCs&rwjR((H;a(V zN07VSzDb1M)Uj$)`V1}##`tXt^0eaMA1(u5 zSxZMJb*A}F+S{R+c96=Zl9<8ju`7ih5{$pd1#9#rZm-bl3)DcwEqeyNbltQQFnRR2 zjVg*FDFd*wCamM^1=AF7e87VqI*pr*u77PuLVH-UnC29>2O^Hx8IKn37l@Q@p0Oj* zXYb*ZVE>|tYoI86uj15wu`3~{_@nSycb?mDz5Myx672QuE1=!yRjRVC4_^17B^U#2 z+iS+)0ioKp+`ierU+6%5gp6vs(+$dG)Nx~xt}`N>s5`cveD^l-%1{d>5PlfN7Ff;_ z%=6+UJ9Eq2lf?&=Q05e1MI8ok$mRkJsG0%*IZ37Ze|HEf;x>G|hV&Q%>njWH1uK^Q zDnBs8S#@VF0s~tJ-w!&S$;^$T@MP}9c+hqafjbOtYW zK8ay!oQK8@xUHu;-NE^V0)O;b3w5{Cv|;6i_-l|I2KGt4j0M@UAon6|ZU3To8aI$4 z+V%wNSu^}`;br#|f;;MU3W^^T+!AZ6uM{i%OPB_Fix@1?{P> zf*y6mSubKkj#+2If*NT(*9(d4E`&raIruI29Rr*}*jEXE7N=J~3Y6qq&BAr}0bBhW zZYR)vhJF}|Y75rSHf3}k2MZMaFbPc$W~;H@hyYhRTAy}Z4cinWkpWf3=d$78h82k6 zV__Tx$h}R1k%wjUD~7@x8)zQtdKm*D?5x)Lx7J}UG8+IAEAua{#Vo=k`@lwLKBAFT z{azw2^N$#Aw$dWCUGGk-p{QWJL?nu5Q74+JqJTwl5IO-c&PhYsSqS`|@YRp%fBP|q1Kw>WLQ?%f-%H-n)@)_Jwr@N3Ov@Q&W*H2XaYsAhc@ z5wLttLeve6aeMrv%o3)PB{ELMj56o!$Vu!Lhk__nglwcj28u;ln`|~>jiU$)Kzbdf z?O4d>izfsC1J72s6l8Q4iocG>vh}{T1kxZ43!&9t^Ryin%z?(s(E7*igIskz=$cl%v8WAmp@xlA%KJ*4+V2Il^yV&8;G zFazsfs5_$#6jD%t&@OD@hjjr2k^Pq-CDSLsuMX?=+9!(s=nT-hcYE@E7xoiB=}9P> zf^d0>qlQaI2UH%L-Yf>J&fcBIwXrP<*)9HW48Fk2C|cxRfi>r@Z79TO6D9-Q**R%; z*7cH{^85(E#U!Aa4qInCpu+XiHaB;UD83MIht(Yd%+ht~VdqQ$6uqGPXEMjG8GcX~ z4vr&=zBm>yVe(!MC;CwusJ^F;QoT)bvb4?8T-M|e19JiYADgJB+1W`R7K8kfw^zQZ zKojCcHe!bvSYT&ysaOBINP4^YAU{CCuA|v1OpCk*faJ&Ij zosT4_Ahhi&o{&Ryd- zc53YGc{i}3q`BE@=JBGGkHSa|?*wxR9|`p%;6w;ImJN7enm*JOs7{|AVN%z813ClX z|E;I>Yfr}%18EqQH6VI z9s>fmyug=puN8?fhw^p+jzHyZ&}j$C5Hz}vd&v08xF0Jm)hB^iqP{{=J?fR{3(TE| z(m<|t9D%mRGZw+WN+D*v&{nx_2*1GrVcWlm(5K89WO!;^JYf!LI04`otpx-75}5J5 zTd$*}ugWvi85g>sDA>DlK#V7!7sZ3)l0gvl7RN{k4;%ElSxOu1ka3)f>Uhw_x&k~p zX{I>;3_c&}6mBgVCqJ8Wi$sM4{JT8J8qR(iRG(Ucyfu;Xjbs@E9i)dc=+*B9+wXMY z6XNcDUd+>gJ(DJ{fz$HCwg1N^MX*%W|Hd%EMWrB9e{l&91z-r*;IxX8TghyE$&&Zj@Cq2LOF&fZDbsgki0c+UC`CN)hFRXp z(5FmwWZ}R@>@!^|i*h;Jdrs^UeB+k}Cj&my@>m^%S6b;kXY%l@q~@pfep9;FpsW*? z`5dL?W&r=zq02b3QQ|T!rbsp0An7%=yTqUIZ4S4sB+wSd9x%Xztl&A`i?OV}{t{<1 z>pm$NfU4})V0KJmDPw)cAO!=>8JJ|FqsNQW?Ag&8-#%_5GYTZ_3M=M0_JqYWG2kGm z7u=1y8|%pS+pb^~YEZHwq&1-ZVaZv*UrTdBFE$-m|EdW7gmx$IjIm!r^SUZnl0 zt$Wf#?qq};1BCGj!*e<+PqJcGrs=kWp=c~Lpql&|y{TX5$hy|fC1R0W(Z)weAK+73 zp%K_l@tDT$lD^W}PTJRx%CB>9D>p>@f|qsyuHNe2!$_8X!C6c(Win=I6fBFwbT`vR zEdx4vRzxX9WOWsv$hJ+=HC`TsYQjV{b|Iyhl3G85JR3roRiEZ+F zOmHSZY8hXmiq?p8BM-Z8Oot_Go%ZouWtk#EeYY}BtbRXHKtZ9`7AjlI&2I|D8qR)< zSo7HJhergFdSuPQE@YeZi5&A!c7;9(gpL4NdV2TK$@%|tXnO|(Nz9=GB~;oKNJbvV zijT+L#Ga0KGW(qu*JRXmX@Hy#1NzgyJcL`kLR(5(Kr3ZKpBT+f09gP_-Xgd?7|B5; zkk@i(0J@35!=1Eq*3vF(6^I6bFCUlo&lwuY!U zS1UYyy$+`Ad9dN87YHP&`e=dCh@`orJC(I^+dO6A{TGVr^u_WH>K-1rB~6vFg``yr z@T4EdGqx@AHYQYabES!#_D!S~xf?K{3j=7=kjAQNjd2xHMwhNwY;@yxQ*>jSaT3aJ zAC#gSRRx>x-bhK-uIkhK=#d-xmRX?t$n>F!vz{`OR!6NCNjKZDr5OXzjs#(;rtgP%{o~;&bU|``Aa}3x<81b{+fi$&ZS~Pd$%Wx@=!375{@tVkW5tSkQvcqd6(9sXTr}$2} zV{E}Vp%E1u&zpmk(ZKK`zEVncnCA`)*$rdwVcb@T&kyL~ zri+~)1NdZwrKF7ofc^YAkS3*@DKFmwH*(FSb3^lW=M)q1R=t*T?(saxREt8?P0X+bEpIvH-bq3Yv)vAuNZ+INFH1XjCNROaU^%8+|lzEY=@>KOwgUpq%)y0hqJ zr7(juT{<32rW-y92w4#hkQ0&TJG}|iQGqhdo6EnZNgCC#DkmgOS9k;Y})W5eK9WXr)mb@d4fb&Pc?0L{VsovCo>ECUT=y9k{4kKsG0g2%`)%r;b|ZJFbrPA(;>?vhmxheQbLe9<8;B?ur{I9|bZrP^by@k^a^Igwf(*ZrC>M(o`g>aKRbc@1_SqFu?Evy`y9L%lF zA?lZ{FG$%c)0ZA0WMQzwi;B7`_*G0tAsh`=#V?ZhO{R+=;MRF`um=YliJAsGE^9ER zGFHaXP7o0Q00D^t;L~-2Boa%gfQ7~{oOn@c8KH>sV#KKO!j=X8h#I{G1Y-*)QUv_o zB-}&UR8-j5m;`v$$pB&5p)A?z2@b#w0*q=TI>}#T&%=383_$~11!59!Ai%`87%vTt zH!}&*9;y)l1s44|$@$_K3+elYc7r3xE_P$jC;g;%b1swl24^8Zs5juO96f_HO7O){4Erux6qTOk5q z25&c|XK+SU2t~=r7h-xxxwA^pZJFqgzTL<4j(*q#Y<&0 zX_RJloSZ5xw&h<8-!#ddS8_8t*8+nI0w^i8&{E&ULb5yPwtEY?`$;H(f@n2g2hk1O zRDe)%8AW`^+Fu_=zq71~V$f+-mMbt=Y&3G)HcvcJ>T^+UAp&D1BWPSzDlkro_-|H< zz5_w84z6nL31-Aw*V=6(LMn{c?3s48d=3in8LyuPI3uk|%&4TYmF|h;%H3W2Hb?S#B=HFX;8o9ZUlsL$U-N{0+87wb|Cw6^`H0LboNBcBDdVCg40(+oN_|Co z;DyIGiz3Wz)7UfQw{&kMI*FQpsDW%00`FNWXi6#k*&6XQ&g%Ll`L~>cgAqi5R{gwp zq3JjeD3_A9QPdk7=CafvKMn-oIu6|DgOW)dGQQ_q<`k4%A_8VlvCw_6Z+pdwCY004 z@rgS+=*_)hNH&kW-{--XYMw#0%Z`4*E%R|1|++G%I>Y#5}g z5%g?v8`c~1c~CEQ=Y`gz-?x9OISgU3jUi^$LXl|i9_V5O3Id5oyYm9aTP}aOs}igc zwi_n8QFvqU?Ns@O#B8_S6)PvOX7Y~Ih}KDCyD*Echf*sJ*4T4*Mt~kLf7@y*Is^jE zJfJ%h=hvLS?d2&_o(Rby(j0z<@hAW0&9DvuGC%|61~xJXX~gqZ4{Sq=6_r6?Ls%W$ zo`%V}vyI~+utfp_btmz=>QptzdoIRt`O-rG?^%b|GUfT2Y1*G88%QnpkKf$L zbbeIL`?E$i%_;oKfic^d*` zkQ^rLjA?04M0=yY06(>AQaKda4XnoO=rhC`V+jrLc@q{vpcvfq<7HZ**$=$N0W^pB zoZ7AkHV0p_(eWh$m<_(V(g)0(s4GP~y1~N6DoQ+H39%+n-g|?{1#)AYo8Wt{VLo4+0iMB6(4G;id+{$>j?b z+<2)put0vmnwrg`xo~rwDIk|D6uJ!9Ho}FOgMd@LfSto&6!<0sN>s$q$_jbfnG^zT zuZK&bj;5kdg0dMd&!R|qSqS*`;l+*d$P^htrH|8_O^IDwT<>vibwGMp;c{j~JD?x4%f%!fdL;sy zoS1~UYhC9uQ%?($EslpHtopn6z1eLynv$OtT^c0$_-=abf7x=2AN3NzZKO#AU2o?;OK74TdJp;9_wsoM{m+S>Cwqr4X*n|ETeXln*|oc`;=%Pr0QbmT^or#*pAZ6- zp6$xvk>EKF?qjxeuyI(32FeIxmJ74^YHwNZe<%T7yI%R((m#oz)Gh~hUQ!{!xjT~JB7FF@dyj(qwglaok0=|)TYofLkVjKc>`4k88 zMk6mUI4`U{Dn1MU7K1#f_ZBvu42iTN0s!{zXa?8=3+|C+!F%i1h7Od1^pU8!cFW5U zenDb6EXaZW=ORi7@nZ+X4JxmuJeqKv8e>pn8(9>>@(%(w zkFF4LorYnGO` zc{Y17XXd@PV7&(d{SuJ@P%-|i#ns&e_lU!9=i;N4o2s=;@sC#KFd=;vMVCBx9b?jB z53i`q`xpI%Sw_>LaSl%ARo~crgDZ3y0+=RIZ~k>aO9yIYm(x#fkq=Kp{cb=l7V@HR zV0oruABw3m;MKFg_e3D^r8m$XJ3dKi{>wDRm6%98g!tZ7CjzA$9hcMF?JpNNAO;W& z?v~glJHk(ueOCw5I2S}4zaHw#0IwR#rK}3EoyVX_40gOqG>i5X>W9K@%0cEQ(JTTr zFCKpi?xJ662nG>PKtffaj+5FWbUi6e2Upd#DIX(Af6(8rcyHQGeZEiY2+b{NN*>OG zpz`~z$SA++Pw5^4O9^5VwOg))wS6xrI*m%AJ+acS zO}PQ)gfu9cGs!1q&3_(Vhm+EuPmt9u04@L ztdajg66s3eX#01>?CSz28!Pqlii$#NIuezab=kNaAHTiK5(1k@0GlG#h5FS%K!oWW z5m;>OZ_!_kK2B8Hr&-VeMjEiTOB*P~f%l~@cuoocC&&#reyLbc(SgVIehs1cdIthe z-s5dBhWaA(CW@MG&kN)+6;v2>j8ems!$k5u=(hr32H#HY^eD*Lq0ihc8bzS#0KN{* zW;!?{%pQ*|2)Zu<_`L2y>U4L4t`oohTHAnOsn-3v1%;6BrPGiue>1QZ8cy=;bSC`v z6>X6Pa&@QXH5CX5=cCAeuil221?*7)0<0p9J9LCcBI#$w5Pl8X%}Bh@xyb&JU|tZ= zYJa5WAMwN1zrr24LI^oOicTgD=dW)V^8Sk+^@!LMdOBea76R+-LTacyb#P$xl3f0M zWMUvDkC4#PPLuLSJ|^;av@JF39aev&2pvDwIk|M(rd6gmB@TE%C9B%emis3LZU6$e zcZC;G7P^ZH#`XA*x2&}?)YBa~A8Xbt9>&}!4`&ic?zZwa-b`=Kd}$ICfKwHI2|osF z9<}4Z4NUV7i;NEfe-s}a{K`5=oPgvT&bb1GVq|sm5dDIEqi5J_d*;Fe4??3;iByuz zSC{aOYoK-5#7NJ7@a}XSv&%Pev0$wg0*>RF?)1K$;y+8F87j9$3yjg0m*wF#YuxPB zA;`C4BgAzD{nG=8?ft_M4K-M@*SC`pI3C}Ph0*5CTc=TMSHcYI78D^Q2df zHg)!Xq&{P8;+pRT6%kQv=nREHh+nn<;YRV^US_ETiRkMp3WQ$l9aMrFI6yYb-XH?$ zi(%be2b3p7%B4TF$_)8*pOmCdnB6k!UT5}!5U~)c28$k%))&swL1KA$;k$Y+3T_o? zmt~Loq{xlKIJ67`?H0+(bMhYPU<7Pw-(C|gmC`|yvs2~g$qUhvbT*gFGg|9W=aYYCd&E;)$#0KjqhYcy)SUrW#&U&^ z*QCjS3;nOqMQ3RT`Cdw|A5^JQzrcP@qM^aFO`WOcOLrs{8v=@|${z&*%&vL*mngs&A z-@WyT!SOA23OeQH|1lG`LSt4F8R=Xdn(r#0pIIVn(JPzM!p#{u&3g(@))7XuylO+J zL4!?Y1Z}}jHIfAaIl{O`-BI7O-1#moq_X1&YPCNn_FVpyp=&ium}~PHuZ7Bt;*Zkg z4rCoQ(k!OEAu6dJG@bZG2abPzztrBWvSOj9s=Ctf=O3)QlRq71z>vx zs60M)g8)Z7Vo*y7jtcUQ_6{?l8!u8^7}^D}$BDXtpt)VXSulm~{ICK+3*yjDG9Cie zLl*wGS@Wc>o#|HkFnO+_~u;Y=>9$k z#b}IY$3%cOe%s6-SLWv>M(ZDEwPrXqN(mlhgJB+cuNcbXPAcr*oJVznBhF?BdnrMP zMrPN+2R5K8e>K;yQYFDlo%9(1v!)m}2@@u!gcx1wEHv}<_ZcxxyUE&CKGd9a`q!~^ z&R$H^3!e;`1(figt8fKwT(x;-*%|N2s{u#Q4|Q0y0M*eoxnGQH6F_(BLcvS@ChV{Q zq=v|A^;%`LHIf>>xHlwS#)RCyKRKI^B?)il`8_CoN{lxH@kR5+Z~I%U2mlk1hU0mC zB8r;YbK@9TUjdI^5qBz$Oo9p2w5+yTJQ$R46Zx6x%GF@u>kK1BT!EFFL;0RctSJrx zU!Y?501`m=hO$`}V*s@~Uk1D{9^cu`5#8p>3d-5@lS9Odn>-o%c1QIC*%lW(tJfbg zbWVnRiP(y|B~FBvi|vGA*ehT_Wx!7B#l!5&Z5|7NW(Y*fLnt@>+KtL^khOPxoG~%K~7#FnbWTp7=yp()aIM+B%k*A+@{Uz#OuXLLO_FOWC1}GP=T{6Vb zXDQm}O!qfFKW<+6z324e+^H}9$Fn{5hPH2(qy)%1{7b-mm*@rrZ7$OvqCjeGEg&_E z?OaMOmjr-74C$C@8pkV9Bnqj_*Pe|Kl8E{XXPZ9XhzlEqqmn_1(b^zT3*E}5RSt2= zFxYvs0{cSwIUhD|TpFJ^=bx(Kki{sxH~=Rg>a!UE zOIFKKnB@~l4#TcAAM1+tpNzXrh#Sf0XAG~tQ+|}v2Vv}qW!i}CgN$l`FSy>?r&WFZ;AAYjDy*-~B{z?NbnC}J%iP4BiD~ZE=6K$zNn+}tT4v=7dt~Too zEo-rzqe2w_w%8<1m8Yb*XCbD4Rp}_+!~F43*l8wq`{}XTkEcG)2lhW~TSbTa`iidN zeyl5}Lj(8)0kk?$Osb7qMw5`0>P|aJ6(S4_pf8DR@YQc+eyE)kB0>}dtXAJO*(bX7 z#qs>TEHKui#FZpFtu?K}_Q(Mw!ufLcyPfy6T8Iw-#c=|3IJ5bp!YxKknDpN)2#p|k z*#@zYH-BtHz=oTywr(2cx6X>V6br>UwyO`5_jS<#ccB6(AAjdlL1Fe;Fy%ytXoqWT zs%_Axw<9hAOeH>`VNw2!{2c+Y;0_3$&;kci$JEbHanm+%Nj&9kz4Pak00YWNl4x** z423UV+Wo)iRAB7graN)bDwCAnBXH!jq<6~28RfsYoZ`A)qHiD7EPIKwVD>JOzKnVf z0u7J0Z~!zWCZGVrhTBWR-vV$Km)&Hp_&AhgEk?KKVsRS}Twr9tgM7j%k3_8ghr*1` z*rA2h*^YM85-MERSg?SMdon=z@2Ba7(*l|#W05^3b=CGv$K_yb;lwcMG)6Qd{`{|-fl)5gQmmYt@8vKBOe0S0XS=kZ9D_FoCKzdSjZ-&A~g z=)q2q!C+%@3zIg8trrAYoTd0*bJ`M;!gcutx~{<<$n2tRvv0uRz>8+k0I{Zx#2Bgz z5jy@(@WBfP;~DRtosk}%HjtYi+Ge{Wh=K|i^#dVTy!FhzgU0$Iyb~a94~OJI;JWGc zHxz+lS^zvm>naqYN@PQvgyJ3;t(e@BfvX~KaPOqQ6-(hrS)MVib%Khi~_3x z^KYG@QSyht=>h0~ZJrQV2l;%s*1eLxnx=hifGQrKyBwHIFsSK8;i6+0&aSsTBlOe# zc0(K&;&2eiZn=mW|B90?n7u3jeW-lq?&m5v5RGKwFLT;(_0sho00^EO&__LMn=lNv z^s|IvMK;Z}L593EfT6D!>|1L#|EvHCr?08540k|u^)f&!#Hk{`80FM7&yp=f>CU)I ze3tSC133Nn?z!SiJ&>N!Xhz#;In6OL56Nuwa?2}gPBBf=<(Y4cZ-9i+q3tu z=8O7#F{bGrZzp-1Q?0UEoC<)`S8T=5s{`<`&+A0Vo@<{N=dTyJUe4{X%}!FzzXFRO z*08qLkdAQXaUJyQ(jJGj2YOIAm<8^!7wm(y9-#poA12CdBvBRa!%XfX-WII9Xv2D5 zY^9E810-nqnw!D6uun^`Ej!_aGmq8ghohS0Wlw?i!jmHi0;M|aJ1hpnea z1)r$E1G}j&;?*g9g|u{l|Gdb*2sAHGfXk;X<`CWT;xso%Ba7x( zO%u-#oJQIDPvQ^|O0zfrAqJGl`GR6Nl`V`XQKqo>D0t(0g88)b7fhLX$AdzIgu)$x zGU7Wu$!1Ihp)Ajr^cLT~1z(hK3Z+;Z5Y$EP=HLPLjrLv_4*Ynu4}a_D=lIgku3KVG#U&5m)1{t9P@D#(@Rd-G_G*<$c5vAf*6O_dVDP>n zTNOnGKuf4ZlD9heCbyG8@Fc;1l$&67P5=RL3WvjhZYUa&#U7F#PjV2qd(rso-?}(n z;XxZ6EO=r_Sd?2b?h7{10rg(x?Lc2RWqjx^-evrQPVaQ@3@qasNYzbk-_29w*lA2o z_yD_9Plra?eAI~_ zr_AimDVw=cUghT~hB8FthBR1Xl9}O9i8)I-()GwVD6b|_Z)Vt7cwVGtD`cfu8~WEZ z9fuI29gPZQ*bs1{~;?d=g?Uusb{zS5H$sY2fUXP0ttm zjwbA#84+M&%EBjwqIPiXxtB*90v!VV3;$(B-4YzWr*Ka(g3oAOWH~A(frhY zG<6Nrx97|LrjP%<>_aMXJJbG!{|9aU1ox3gI&K{{t%nl#G82lPRxTCq>J;v%M97NW zI0FRmO$+b0Co9A|Z~f!?I)G*Se%Bfj5LoECM{K{pnO8;J2Z|LVoM|29HO!&$o@0QB zT$B?}vnU(l=YWqO3~h`7P<&g~XQ?rVQ6if~VO;jv74RKQ1;F9}zu# zjtVjgmgI{pCCZqMC_Ua=n<-MbygZvP`<=k2_l9f^)|WE8NvfA(2S?vht*c4^neD;@q= zfP#mn$*d)%kTjQ{scMm)xe4?fUd!khCAAZ<@wo5{R*!ljK z>;6WA1Q{d2xtHR2^9CpD;85Hr4yUL4@&->a5#{;9>YTt(ot10((s+8Ufu%u?5pq2r-M|GhYlr2+2mt2 z;@2Zr8swy}Y{fIE+atZafd}Xhzw=^?{eP;4aYAltXv~Ljph=Wgmo01U@Xh{G1)9@J z+bz@U2O!Q$AJq2An6_&z0;g`YG=T=CHaA8 zDuxa-yt$q{qEoJ5aY2YgKAO`GjpDGv%u>K7I;B;hV5FLD24p?yyy zYXuG*lP4#j5`DE(h0dz%;$K}l*wCcYA9(&6zC6+K^%z3AmZlYR!~Q;O1_-%7kpm4N z1NhW+M3n0L9b{rG(`LyzfnG}v_I);7o>mxSbvwY|64uuM@>;HP{JFqPcJ*U`Rifo4B13({92@bB~pyhA-%4syD%oZ({+>qOCV z3BfE`7L*zKZNKS15bBjM(u)Ct4QZgnMQ-|a2u%E|%}F;ja-rUADT)LW$H_}euM3{w zDA$~4p^_QstPr2=hMP47g|m-~J+;vo}C zI&XIMN(kLjbkz*K1g4rvSE_KzWWn50F|62fv7GNC{!fDRP^%{l2>_ZlpBNMDu$~&byhnIFXn-h!L(2gK5C~XQj$Fp-OAD9qo+iVMk zV$9JzykBIwO7?%1pJL3ZS*x)}oP4d`mV>f8lRA~)zvY91p5Kwlghn^rqa>+-wBGKy zSO{YZP0pEzNfK}teuKf$;8zE@LQ7}4-L;MpBGFwoWwtj{2%{bsc|1e0Q6Yqfv~wWz z*iR0+0l`<0WxZSXeSf3Xpkzkt>%MZhNuMw~R5)?S;XGGBPeHnoLgO*pPG(N4N%nwR z4@})Q9j@&qBzc>{o%u)~3ooRqcLV$wZ6?ehCJcp#& zQZCn-;-CCXOq0|!6hR8rJ8=0W>$Tw+__!I243w#kAv!j#c7{67WM5y*;*jE4MkSMO zw>(^V`Ou!VNC6FEDe!qW$|Gn%9~TPa}~gjrvVQqdbc-#&fLc^kV(blot8s(WOUcN+LAe5A{Q9@f#)P4XtQB{?E)|9N!@zYD#g9arzv0+!I%bN=O&&qQ`zPJ#+oXO(|wR#DrXNaoQ_;)=Y* zwrJx@5lpk#f4U)n$&9xtp$Y~yMMv<5==y^_tjfKz*&*(-6RE10I77P`djU}}5t&QV z_|-LBV?!ha2x6xtfCg6lWGI}XXnK3ye;aE+&gHkVW0+PbRnzr3bfc?h#QZd9U$mNU6m;vnqv?>Uw{{%@yHR}j0WfBM%cz+Iv zM{YAuA7*>YxP(8{jz4{2Zyp5w5{iwXSKr+n=)w z@>`n*Vh^voe||;%GV$hXWnKfZZBqosGULd^Uv%lF_T)NxAj z3Y@95JY*w2riiSs_!fD(P&T=oxJIn76?wIF3SBg8$vH;|ws=SGf+jj$H=*fR;rP}4 z1qCI80I@jGp5b72k%eE7(B?EN{YHmuuIJ@w!&R}58a$l2>p_RhgfT@HKgBvFu&nM~ ziKnahy_GKTrP27gMi25d0NnFR@^HW;ZEL}e_ul?%$?ie$6<4 z##Qe(a3g76VyCq23X#ADXPnynBbuR@R9*>Gnt9&Ej&f{1F>$ag?!0vNvM_YAF_Qa& zot^Fa{Ww+I9vw*}7;?i?hKY4rop+fzc1qk}MM6I--6t4x^`tHkKtx>SMcOh_+CU8Y zz-3o`cdq^-UM31*J_W%;MK}jGsIx*7xxEGIBhez)Hd^ub@p&7k+nswdhEz=L6zDSO z5auTd9hehItU&!vA~tN(HgdmQDo!2ncrz7VHNdL)K%TSundo@vlF^)SZFOKKzm zxLvQJ+j$!aX8uNT#~?htI>bRJyQ90x?J%w1GRL5x6=7Ncx$I~5%O*$zXc20i%k5pQ znNgI7i=WP*gIiX@0-WtT;S1<*Ib-WJD@bH{^gLMyi3{e>Xmel5G+-T#7*o-`D}9uD z5s@g8|1@J#%>~+Jm^%hGu*K~or8T4@(gULQ2AVfNWBPRst!*=3!8?J&XvxnSOIP8J zJ*Y*_B`|9~)P~?OZSLrs!Et=_nDG{>&Ty1%t!%`VhwHBOs}@I<(TLnup|bA>R7Mg*?Qf6?SiOg@YI^;Hma{q zdc3r&@K*v=v?7Gi10;~7l>>@p!U&tg*TX49#kjrFsz!*1@PC7bBcZ$?lc30*%u>>x zi{E*ve0=B?Ts3qsV11Y>rd$UDna-O0%Um_8i$+xhHeIsB;)p=05=5k<{6ge$RMj&9 z2_8%jA)=PQjo2+#=nYs6RDl~fai;ryrNv#f>j84^qGC}7`-uj^LvYBKO%Q}ZT2a>5 z{>eaeyol}y!VBPAW4oNx5_!fNM>I@xxaCxA75Up32~cf}fqxnfsxDt;U@-ax?TL&v z2g-#to|M$35D0?0@!0%kG~Iyk7I-9NZ0$X}pDRWIg5i<(SrA0Lkf%JTMW5OoqtsZ5 z>8UCK$@q3zK1nPE87}ZAb}tnuf+% z9+?`v9fnjTWE=IuKf7xwPcZq^`YD(HMUcLkt$1jUB9~$MXYC zkg@1wC*R2|N(7HhNX;w;^1|iP(xjpN_Vse*Q(Z5Hq)9K7FN_OCsQ4 zS8W2W!Gsz94l7Zzddo4n*&%m)k{76w>>=Y+yq$Ce&chHK9=!QTclGBFjzx`eI*!Zta+?(+R8ZHEZlT-h*^%8r?%n+t7{UeWI>{PIFHY$jP; zagiIx-zN-LfV1nSi!y-!Ucl&Q{n+rKLp0JKE(aBJG#To^3t_xv zMTADfxblRqp1A_ULW>=UE@(ql;5=&gc+XZ4 z^UhaeS`GH%0Xm0YVHTt1q2Y(2 zS!}l&9-FYPQ7$366}UNan@Q_~I9683EP1N+I}v*htsxW*5pnO0F3csuWbnN)g@Okt zY@_ts%b8~n6l8mbfj`6b*0W^@+SpjMV2K#ilQ7!RnVLNemMd`PkFbP>pWTKpk`${^ zARZQc=(Wa0o2N}`8h&`mb4zf|;Gg4pNWL&$)R7iRMa=brn17N%3+M61(G<|pouhak zRk7h5#Wi9kZG{k-F^68l;F{5O5Itmnn!U0+>0#2yyn*3UrBz(4hRHM{Sd$$Uu`(&q zCk{S85}1v7e#_7SQD zOU^jiVI3d3$0Yp{f`*OBgWiE+HgbL^K4~cc6E3t z6zP{IV{?=UC#*eSKCLyv=P^{KfMJ)eiyLI#vm+Dfz52m-!T_ z@PbMyu>|zX^XGhRlR{}W70#%ZNfu{A)5t^j*^L)qw5v}WH)sqdO0f>lU_&4tBj^{> zwx!hEz!DR?tTP9|#gRWK)bor%`CS$TenZdT{Uam81iUF>!APyDRKVf+ zFJ6d$`L701M}8$}wpLGqPLDs>B8jBH!Q_EaqsClBh_e-xNCNrsq@8M=ONqr79d?Tr-4 zGe)z;XCrK%Tk~GXDK(`XB0xh_a{bKqC@qmXJ~M0bHqaUz*evL31-LQbGTpon5P(TZ zWNKIbA&FaM`|er+b7%a-2nd`cES~5=OjZ2$38f3tJ$&YLX9kvO&bOocwguCHzTd{< zLHiJ*v)UJIy2I$8j6Zh;Mh~jqeNm3qA{_45Y$Wxs>zj3zTmo26tE+m5(cY-- z-r-!T{Uv4_3+dJ%w`DKAI#`#c*M+sh#dLR})4owEUC$5nkZwXBY0-nyO;#N8sduY* zPeKJdPyyQih@PZt6U5%>VH)dBAH>yoth-q3^R?6*rgQk0)zpn?Wjhc=l-F@3Y0-?1 zFg;(JI5NqDZ!E3_RS<@8s!q5(Nv^a+%n~sBQtXGYToh&kUTtks`vE>p} zJX|mE9J?U;*Q`MSQbwG_DZa{E!$ZdMhPuCNksrZK#~gUkq{=CnD2TjB{Vf=k`((XA zQfk51;heWs)!9MHRe$|zr5Fc*{qinw3O4_v<@<1!R^TFtcmlG=Lfj2 z_J`Gol|_0?uQC}S>Z%bTc3xVD6b9+X9mJxaT>eu*KtWCO3zDqQrKHw^GzCWs#1{Q*cWqj0_m|`?*e@D`H9?ZTo(QEhvXkm| z>IQ4HE=3=L%F}EveAr8WF7c2*@Ar*)t(e@Eq)_ygP%0w1+7Al9m35oz3X%+v%89v- zm>rUL(BO?&v#P&J2=8^ExCAcFGZ7U$fasP~c-Bo(iVwcA-&yzLE)IzSG<6JxHQz>Q zx4D5rnMt3)Rp%1XsTe&`&pow~3W}V}DD$%1+-Z2S(irn510}uUCNnkkUGrdYi5A}4 zr&?MVxO^Pxh9M}bdhnrRAfPVkd&CDHiE-!I-am`+NuUIwkPaZeL11+;zayn_tqM9` z!|`Fe4kbB5u_s)OVO4~M5zE0UMQ#&2lFJs~H7B*+!bVR*!nkdyLWxTz2_vhw;Fd%X z%I0S5g{=I-Oj}@=GG)CvUod`CgJZpi;JZ;P0K>I1t9gE)$S-L)wy-NH9V)^a*a1XtMKkW(& zp)CAS;j*PjYGzkhGgs3B%Ow>yBkW`IgBYFYz$3~7C*s0NNek)~KG}fa3$(9&1?H&c z#sgCkUx|fhlCoWW+xP`ho*yC=d%Q^}3ADA%xVd)SjIStZ?l@*KvpcsBNV^-uUHd95 zWSZtS{Cc|)lKom)0Fz>wf8IXgio!IKflVaT(wG5)AL6vJmi*0DZjv)&1L&OaipzBo zhz#w1D0j?9HGe#L;N)0$$z}P2h9_gp&ec~xeo!zj^$(+rR_{6+w_;DJ>ToE z^BY>M1E&VqG%^@D?G?T>8oyo!i!Px>+{8_I;czt?5DiUbwjd=PfP9rTojcgpE`OCx#eb{MVFfsVqdkxF`SVXYaSjUDJ|zjP|K`- z>!voOvAF`m$z6vJ&hU)ZG?6MtWKwlytNPu~)FZE#Vima6zsWACK%UcSEC%KoPS_VC$>Lbh`Y45b%Q^0+Nj(?vC)Y*h)EQL716cfZyw5tUbcZ6SNhaJOl z+F22p9s#Q6E^8YKH4-=aR-pg;vMGv~i9-y~Gi)Ql63j#nOkVXc{NjLmMwqnDFZm{~g?;`tI0Mzn6ong$GGijv!_M9if* zN+JiX%Nlnyx>O-VwD9XqBBPVv(b+^oRdj;v2WHHNPt@UZ6;U^o6)F`H9b{P|RXIe1 z`%9QBO;x)AT}ihM>}aiWplTRLoL`RUYggs^pvjfS_hb}rQ<`kXv*6v#X>KNMWbNbX zlud@K61|)Ah4?GAB#%h=zjy`Lo^DBu=bj?{0`eR!ZPY5nQuj8N@1;vW*&Bp2SB8V92M)4Xo za=hiU>B1$%J=Q2moXqZnaU;0ph51Iab#`m(+;X_I!XiybWJPh9P{MqDRzug&4cruC z{o_uSR$ z(MN`=c@2}W>{UrHUYvlzq4olBA$Qq)CJsDWY&+~mvH0^2lnWrl#7g1Jsm0t&XHk?l zDuL9uI;-qngvTYOU8JD2^!fj=7i!~RV%C+M9pVGe-Eg8I!04~`l^?KlH@c<-Q|N3& zi^2ofoH^}U^gfR?;9F2Hg&8?WE?PD+IMlK=)6E8y>;seV2Qib<>RIr~MC~w>#T^rG zJpR|vSDCa;M;h=ceM#F55(-Xlj&~~7>|ra^l#`y0wWwe%4t=#j)mpMwNXC#}egNIS z+MG~-`JlIvOD*>Wrv;9Hb~iF-5Ajtk7zFm1Xy{8C_V(mJl0sGEIW}-W%M1-naojr7 z;$W60ZBLzqv8Q#}95F4LRl)mN%kHbLE@E+Jw_${Rd6JR4E(*!QP#4P&eI`@v9;E{5D}?(?|MwI*=?{%jh7iXacwK!^i&*5@&Aboi%nbo(eKygZPBB8oZd8Vh z*nXE-+RB2dN@CGB4SfbZ82h2t7(3l06U(|f`UVs%voa~0z)B;A<1gh51(W?vg_JQt zq;q&qA^JLBVlJ?z1`c%Q@%3RR=QVB-^dIoq8mPQ1Y-dzVhO^XdXt}D>;9xn%ulo2> ziwyhe(TGJO)%31bv?icUjs>JAc?Oa&5{j?V3+(|-g&jeg1fp5mHMTv{bR_%&Kgn?$ zyzg+ra!nxem3)n~Rbbmu)byIz&#=PNw*(54c?wi}?ypXGcEW4fnpC4#I`a{1*11TN zDaMX0T7BvXG@Z~cnE7je>S5eSh{U}Plm`PgUC3Y&=+RMgGhM2mHy!-1>sWVbJSYh; z1q!&(hl90cB^9|Xp|!)KiyEYHf}m`WjWNwGUz)!59>{YOZpF;{2ol-rt&IBaB1+u( z zM$kfBMHNHy2J#T1^c-eG!UmT$Jau$(938(4_*!fEnD2n?bq7V}C82<)6Dkv}G?~FR zs6N0|@`lkXPiuK$Dp(y5mljbcGSqjjz3Te@*e1>b6nM@}EeMthGCZXU-vW{X7bnVO%5Njp3USx4MKc z?Sl(XaTc<+ZHhoR;G?r961*8Xc6~I{XxV_-hiP#)mI|G9Nt)V18mfL~Hxj7Z49FS> z>B980@lzge-m8@5ck9cWyKCS$bBKc2ORwb#X^RA;UTPwt>y`4O(R?o?1zd=%q}c#? zDi#jdvVyYZS+*z8J&BSDk`wSdCPNUHVIvV6?rW}4T7a}&kTr*?whAz*9P!{ovW{@I z`m&{Tael-Fri*(_ji>*_;aE25H(M>F<;nBD6ceJRF<+OoOOAlv6^-})O_YAWl$Qd3)M!AMmoa4&CgAmpVGXCpC$Kb_KR zRv(C|8^Y2jym>Q9Pu~SNXESyt^ays|etIB&%cV@8`kq<5gNpUzQ?DWIPcOFw^?REDw z>Vv8X#M?f#f;#9*eC?roSOWqm#0eDpg7%f_1d~l)ppIASNU1HO0R(87(DERW(^iF; zZxT(9Tkf?uLsyyh<~`<<3Xh~!26|U85VmBst(}ixenj5j6iMW7apADC|NQiZB%&Ul zRwd4J)u--UHkTS`zu&k*TGl~9{XCAzzS=7Rh)IYWTcb@hKYfeAtzPy014bbl zAaNx;n@F9g{cPEyxWZPns%931($=qpyavPGkJYqBaU!k4=NMlJX}ufz%#!hoz!KCZWykQk)j7cSbL^IZ=9LTD#|Snjiaso&v3FU zknrSK6H|eK*3EEqf0^7Zg;+V$g+q~!xUrW)Whj2JTK|JCXnb~z^ zwyHA_Pb)FER)=T|gI+%I3>x(f;c%W?2zs|B=%-1|s8p6~FNcp#c}? z=oCs3V;J2C^F0(m$lS?x`amOgh>TAJxlAAgl@8-U5^P3Z$Dt@_0GX*~;g+2+{20CP zZjNOB5|e?1C4shU)wm(7x;Yr?95EA&eAir7U)a<6N+We;e+Ipr0&4_1%)b%bVy9mCR`1hN0@I`toE)xm(r+G) zcuXYURl4eQSJwS^znM?Jhs&>q>Xds#Sbh2`VuwVZjrQV~^mb@z0EyT0jW)tBe<-pE z$Q)1;2=-7B{?o^uG+Xtf6QUyg@z}^?+tkB9M)O5EE}V(cSRp8;;!rndVdh`DQH?F< zvalJVXY~q&?*@#(Bi>I+j7;v=${J!tn$E&KDu#}fYrFk|i*w;Weq^jf=#~NjQUO$(EC^B5aG=q)q!BQy&h%*diDH7fD{D`<~ zTan*SNIcDAP+#u%BsQJulB$9!K#ZtDHt%1~n$sGNx7}#kW8osW7&Bge6Jf7WVKE6q zB=fT7JG;u81l#j4Ip;@d{h;M!A9uy8E`jb$! z4>jc57o}bvcjo%JfYxM@8!_gTgl3gTDjUFsjK>%)hz=f9S-T zGdQoQZr!G70T-)9;u-wDpnSD(uC5}(ih?s=+tE~Qf_{;ma^`P0{nN=DxRLgdA%PvL zj!r4?h{2gYH^CRbwA4GC#Nzfjm-fqr-SV)iftd0d#Ui@(4EbYBRynS56DuJ)pX$=h z2l-)Z$uK{Q>&CfOxJ@3AI>l0ClcqT4n3@7hmTR^Vnqbma+9m%OX#j3h{Dh zZNt>}Km`bAJ3BFE8UOF?@Oog07(Tv22K3n@F$OhbzRFQdM^o&0-UCl}m46j+D+OnK zg)lc|o{+QO1mrC}zocom0#Tte>~SYNl6??kNT3_j9HD8qwu=hHLD%1-aW^PwkQ`h> z94Y?RRf+cTsPXv=J)sFAbj&`-jjCYpD)W~L$90*gdicfSy#KA--(0xEd10v`*P?i^ z7?kCrKgHE7GuI%Dk}gILw=r|*o~nIdX+Ji59n#^AvLig6@#a5 zSkD@b`kQLW4?D1_tp(+V1d+!C`9ZI@B1l>UF9x&pSVzHi?RbAq5RX{Ve|}=e9q2Jc z*@5ad>41ipKf4^|La&Wi1VE5$Z2ztU=v{FKwRo^3dtvedwvQqR>D)Zop}%>deXi0! zGiQzbj$;*M|Ev|kSHbYfZfv6^=e{8E`gKlttXrEoyC!FBoT5b`oLQ;c+>@XXgdctg zjs&}xpm<|Af9#cnA|BaGA>ZXGOgnedfYBGet0(Ohzp1W~nGci(>$z=#67FOwZoL~c z-L3|5TjLU9Euqgoz}!m(aunedAtxp+yBiJq3_ETkXn4s@+e0!B5p_O1aiOJL$GRTT z?ooSw%&^PF29@||YBrZHlOZGx^UZ>WR+eI&6T8G^Q@&Rf`3~q0_I{F04INn=d_uZl z-q;GY*M9DnC;_!TAV(mOBL$NbW2IUfl7(kC&6Agd1c%3G`r`5M%*>>h!DvxTX+5z; zO6%~in0260K@jSpDjfSe1Cw@~-h z`f=-m$kY~Ze+Kqa1egspV}ADuAQ2hIoS9_P@>dvxCA^go)Cm!4p=|2(b6?lFh=qaU zMw3{s!PqXX{WZo~^W`TJF`HM|l2L`RodczHTpCl_<^W&d&XD3UsA&rlCy;DvFT>aU z_?^o(btu8NnOoYPJV4V)3+KHcvMB*eLs6Rv=4A0*L@IkI!~b+&NoJt298FU&5dcIV zCQGI!YFpWJmJ#W*U-S7Fmxnvp8XxPc`~=eBE5J3IRMnBFNtA;&+2`5XWP8ikPVII2 z%6el4Vh_x3I?m{7e(?6$jYT3Izg?Zy5L4jV-WUbe2!TShYL>@7kR|zNE@#m!yWd7yD;y#Yo8JPeOf@a=w+j$w zo8CWlDt%vNQ?UXnD-P_2Y5_m&L_8sUXILwDI4xMUfPBJY1_pj)%Z@w$*NlxPMUq|h z(1cGxqI+21Dh0^(vlJnwV1*ONa?x(i%tLBr5Vhp5Og!PQ@k~jn?=+;)sZ+Z-`(JSC z#le6+NQ(MQD3vw1iz5=GKB*LMG8|BD_~HN!)s{hB`EeO&S7%@VcAbs?(=oc;4P=&xk3___-KT5OY~A-CWI!;kXRNo z*p6eHG;H#bpsRvF_eTm>JWc)qo{v9*>)dpq(~-ka)uJ=7|DfYno>^$I{TTc%qI1o; z24VmfOns7-j(4}a$B|7gOoAxO9w0EUH zofruCxKu$;7V2zOFu@sfbK8z=h;Qp({7wN4 zCnm;%FA_fVlLi<)XT6)(ztl@Bw}jS61|L>9;~L^(QJI7@8vVroy&UQ^C2`UCJK(@v zB-IwANeXvTE+@-4jg?Ptum@<4P;j}W(Gyn-U7s!LXmxI)m|bP@!Z&0@JR~lxRqtur z0$|k!h#d9#N|s`A9!8nG=LIN0SY4n=B=AH-x6Wipdr|A?!$HTTn)o7Xm2vAQf-P<0 zd%Pn_3##G-vhSN8Wu9)|OHX+Q60$M-mGI%Dp9=!qmRPZ-H6wOJlmcVT)<3_j=iXDD z7Qv{BH;rbgp?Hy_T4Yd=hq|DpO6|K$-c;9dhl9$?(mqbWHF%e64Bagu4)>_2GQ7Sa z7)OUu+ayzQ|MA%7gA#GU>SGxxXej9Fh2WIY`X(%)JBCU##!b*k3~xop&Gj76ZaZqVZfWs`+Pb^@RmGIu z5)wdmn2=5WSYLQ(h;~a0tO$dX)p6rzrG4&Q;6os?K5;+FG?4uJXJ3C(^IRRR;sca9 z$2vCRQ;8q{#n;frvJdfZx zKJ4DGS)i*jg${M$QGil;F3XY5l}d#TLQ$UrnH(_0`;hc%I!DN?_M``^WDnD_(005v zg3W#y=S5+ON}r9RY1{SAXFwndp4N2fqYF=BZ7u4Bi8?D@(r{ z9wupDf~BKE7czzEq0na#wMk(l;AkH^SJp#hT)c`Jt=dUCoa8UCfULE);pbD(%%J0& z^pyYj(s9>4HE{7Asu_R4hwUtc$SJ<*cWOB9&0hh!z<6+|pTWu!)^3Sfesu72aH1gk z4o6Z%8j+&>Br_>^cP-_rKGXyxj&T$3`5tM#1?%MU9B{GJ1*&sHLA>B-i7F?d4&l8a ziq3q$oK0~Y9m2zgV;CJ-P4BfVZ;u%Wj#m>T8XOld%vwxi^#^DT3f+sl8rhTbF3}TK zYSyr=Te-dj1_Kww%nEbX5twbq<($MS`nukDBlx#$J3!Fa`^+*7!E4L6(r|`$%6ykv zY%C5EB^FXS@5jqLg|2CM_Q7n@PfM`zlHm%zHP3w03vwg#Fc6|1$PWL*-a7?(7Cl?S zW&FyvZQHhO+qP{RUAApkb=gLjjV>Es&lfR|GyjJhH}1>i%ZWHE;^fYZ6S=ka+P-T= zAjAra|EPbNXKL$ToE^qh=a~@R%np+@6IMqDBr>9rxRj5X0tAZPK`)^&Y)@T7#F&Hx zKmvG0vU*mpYpu{)vkby)bsUSTbEuXFqN|82UA4`u0duviE|Ii)QZALVqS&@>p$bnn zf8rlW6@th*#;kjlRAH)=BfUI9Q%cl}%aNT(%{F!@&#(BRJ|Vf!&h)o<;EFGT0cE19 zqz7QWS~P+T1*T2uPnPKDy+wFP*zl*kL4A zG?0{Yn{IJ;_qHEE>FFL#T9f5|=-Xw?GH($M7O7V`w(K&=e<2KV_T-x_pbWu#SO)CVG&K;Bp1_fK6zqf~JlqBH_Jg8xaZ zxuO9Ojvli6LU`8i*jB|j=d?kCI}Qqy(r&;cx=pR$KT4av!-}8G*8ivOx%Y<7_UDeLCAATSjjaF3rnhG{~WR*A{v> zrB=Y-DmeAeMCLPVpIKX|t0yGgaUcI!17n$}P!Yu3+V;EfG%YP)tK7y07ljoA2JJzT zsNRfj@q9w9sxKtE+ldON)R&2I3ZMH0|z?OrJQ04&w0R+Yh_E#2+p2iAH~|MNf3t`#hKS`4fK$u40a2L zZ4RG-16VMfb0uXwrS$UNR=$`(bLXBGbz+_;is){5eTD3-X)NiKu9G!#0yTwmAsV2xr4cp(J!19fjW+?V&3c`d#$@Pn* z(ZhDwio~y5L-RmD{u+WWiqA`?OleAc;^UW3a_A=`!zUsFHQd#)QKjL7zz60H{Bri_ z(hC|8Lzo!OMGH$9!`L2W!eQg??5G6^H@_7YnXpdFP#HcTE_P1=To?nE5qV*%hRr5i zou*KyCcVtNAb3KU>QCp4?oM94nswYAWXTm1jS7GzarbdDN)XcAB53>x9`@@1ZCq$r zfmaezSKzj&{gb>)1XdW{1;~Hkw;6rQBi>wU2ukG2z071eL|LN4lkPT$FN7J6706ae zulYO$h}n{af>PZ6Tuj&}EZUdJEs@P&`b=Xsu!(U@9lc#YSR^-dh*@!n8V^E7hMQRD zrUohgqU}ciu0mJp)R6&)1589Sj3=g5DS&n`Q9miZ;r(W?3oU`Cg`OR{zEO*%MOObi zKmPrgN5u{nLBCfKD*N)i;z>_QxnHg^9&KRZo2(q*8mK*zs4)S?x<-L=mL4%DS8M0pSMJ zwmxN85MN}mJM)6kA;wHtrXh-|myI4p3<&GF?9j{F5sPFjsK1Zd2D?g0SQdro^d!wr z?p=8MRi;K!%=%S0B=ZtJl`Mg#WYRfv4dXz#LT}&VkjuQ|&-_@Ay2mInD}sLLBh;<+ zsa^V8Ojsf4nHv?>%)0j5dCc=nnq3m z9CP5ZM|gO-^DA?mp}9YiVm((ua*e|vopMm+shH3>Za`LXd`gMwF^=O)N;fG4x_`3j z=*Ab~K|whc5>xrH_UgB+PE7S=KVC8y64@=e{Ne5zBzv|so~Jp!6^~4bNK7+`W*{6T zJ2)mu*N_c8>v0hilw;WwcED#Vw16bgwnDP=IsJfTk+8!yqjp)>aV@Na!^%K!c%%QF z_nq0qUJ8y4`gdfTR%z)uX^hy1klbt*vj2-35*f?Z;?97d6yb>T+Egp>lR0oLIKRh} zpcF1R?)2#;0fw($(;u4=UaOw%Zm6=~9*jCSyLD6L0VDj)8Qj92%6w%o>XZB)X^->8 zqNIg-71-CV#TSS{|0j}U1IZEcQ|Q&qc4cf29}j95N5r9*x&)VBM4^?6=n-fiU};LD zu!FVoXNGE$fpU#-hP9@iOG-pgLy2&Q{LO@L8o|T1%kB2T`@)(4xUrB-6)!`b79`jo zg~?OM%dIQ&IUL~a&fRhLT-i^Cn%i?H=80dCR|mW@2{%-)Gi?1ma+()4L0RTRPJk4P zysJ*r7V6BH(7WIvyI)hyJa#Bf>b%3^idZhg)sqs4hJ-0&?6n4tBZa#<#0N)KxJCI- zm*e!Zq_AZ|o$I^_O;4bt^E+Rn{&cGj&YAyyXgd~Iy3Zb?Hmp6DN_$QNFSu(O_j^}? zo#Jaet?PG8;=<_W@O(JaTTl~{fvg!liL7muHCp~^PeBo2{=OAEubSp2m>eS>dMt&Rej15v|}NIy1GU+?6%?}`paL743*gI)&wWDI|`L`jIKNXdF^UF$hZuWFF5ygj5*02 z*??ylbDlYwPSVbWk2oT2t+@Swuq%dbz12ci3ONmxn0o_v+ERjFMq6cKHMMhIZZX@E z>Bp^Ce`B~KDou)xS|Do&P#uABDxwInXDU04n4A2&X8RZu8;XLOik6)ZZl>j6W6f+fx4>PCz_4JMnINzWZFR?@FO# zgK_(IRs%21JD(@SIs7E6oS+2QW+lcD6DN!?VNZ>U2GaxHYR8@hCaZwPBjNW z^*B!#9JSTzwrKxJ(IRajRP+K?;-O_&0|?sqH%8x(&Wmk(xTrCVcbE% zKyl2u(xTzN{hN-KN7|)$C*?qawCeuNt;ex;0Oc#*s@-Df0ej$wUUw&q+;5zWR?p|s zZrFo-{rn;2h@)_uiBdc%#Z+k~9qs-*bm1h&^zQQSmL++iAhinAq}241X^KvUdmM*P z%LrCKOkQS$(2C%`FGIyj^nbf6YuLX?r#FV73jm9= zEO-`i!wG(oUW9fxu-QpyF|#9mzQrCXHfSr7>d~&XR1~s*S@>)V9Z?AL#+su6-hq}{ z)IA=mwg+ezokhFcIrRJFr%R?cZsa>*S1!150)@=YElRq$#2dx@eUCUV!m#7*o=qmn z4-_goGkk)q)apN6KdW6o8nZ@$Q}tLxE5wPx4KNgQEx?C`R-9xlImyl89I_d(V+=Qc zzPez%Z*`E^)Y7UbHjoO+ue2dj9qO%n^zE~)9v>%_B!Cd4C+&i1FIToZR`9$;yIR6q5dk2FB@9R7JM}}+yaOqc zH^5HIYUqXHbUOw(F4-P9H-R2HuCB;h3$bncIeQq3L=2D(kzW5D)Z6a%>x(JWl6jVZP4t4~WA4 zBRg{bmw;?$3LGK@fegJ0ixYw8H3OAR3Gpz(0?Zi+?7P*ZT?4q3=U}qX%_|E6xvQS- z=#z&gBIiqD8Tx742i+=JM{p{2$-#^B^NKPUI@~foTI##;sS=xRbFgGb&YC2Mt$S^+;3R5+UFI+#ZJn`@NEQ56ZQnhM-4eG`}=F70k;5^^4r z3-)j%aWR0(c1=Zfr3cA`@XrhRT2jJQC@8UNL9BGnBTj5Gi$XBLKXq$0?7UEv;h+*MTO2Z5&czlNlY{@Z0f;Kx_O2p~;tvC_?Fi7W}v90_H zvz~0!C>)!q8!S!}V!zNEo{v!P1f?R>aFBXU+5~0O#_KwcLQ|x;?MKy&eAYA7do1;k z^pl^1K=RoI0X|kpr0uZzr?oB1AIrcMXwJPnb>~YU)?+hdgGLl!E{g#&3el z_tyfifmWG=E@WkeUaJ=^c;vcFuaaDy;`;T`yOb3LBtf1fZXTpzJX}JFGqqN}-`E(l z;wl=AOqT*A9AAln4f9MZUbjEw2w(4g4^)Z)SCBMjQRh ze?hlp8_Vgq8QJ#>%)hbQ$#rNfnq{D@QzKRWs=ag3^B^uhQ6ApQ&=0@fz#<6%Pr_cJ96%j8uoMhF|JIL8KOMFCr|U7_mUzGxzYl}h;#)(F{A3}yQxbdA8jwCAyG2hP5! z-LH1?e2^8yPtC%fR(;>&E+S(%Ax^`)F&_wF6jVJ%#LJR$MSqu1edE|d_VY_+zQb?j zZ5TGR?K>M{-|WYKZck?BB65|1Bx)RdZr&4u;9J9UatOGuSf5$$sTI7t?HTLi?UW?64}t!w|e@u~{zUl3qW2wdOif>__?AGIT4 zI5FS-8Nok8M#8$!4ys!XmrH2RoE-ng`~+(b(JcgUh^g2dgWO7#y*$N-h}2H7G!y7X z!T!uj@62;uRAg4_jcs?>Z$ohoI*m%ue+;yg-Z1GgFjY&lz46l7^mzI<77&m&ruI!s3x)49 z=V(yPx`&*ZU2(9g)f-TJMH1UFscccd#)?Y3oE*0eOCJ?mGZLG&n+vi@_RxH$JLY}N zPcjkZs(@|-*uuQ0iPIK_r&%&htZmuxV6*4ry)i(KGVq8D`W^H!!pr_XzE!RBB#0xx z_kouc?!k+@QUMe^bo0Tg=Ds~|m<#denawD=7(Ys)+{L_H$dGM9{H-28u@T|*^$Tsf zR$!ShEu3WiAA6JX2;PrTw=Oab*#4~zvMypjnS;;!Mi3`4pjSd^Ox604Z)Af@!0z2l zSWHm5^jT1HQ9#lxh<#rY)y;j?m?0bb++6fkHGynhofq#nm7{_aiuL8eh$yz;?wQxW zF5YdR+aovfV88V&iL@NkQcv`R{+Zh`Jx4MpCeBpKviR~VsZ}+;w=92oV@eDq4Kl8WM z@)zkoK7znvKF`kJ0>@GkcZ@=niK^S>AF&3dkWjstDv?dhpi_$}n!YsXGI2h{nEcBR zeL)2J&EX<1D{-bw?F$T+C$qCB3ALzTA@Cg-cG)o5;OYwU+e+rMp^I~}U!S6eLQw|E zy$(wP5qB`KR4*sk6li{caKuX_pbfC^`4osmCc;4Cq=7JO^baPIhv;tURMQ455pI$v z4TTW60F-MGdpv#-6@I7FE)yAIjRMFybSHK#o33t%FqV1d$Mt&ML&JKAVAD2fm(WNM z^OF8>pNUftx%nwxX30E;xY1r)@jYy~rAs8SzZ=SE)E|Q}Yk$r6zA`^MJn3gKvSwrW z84VOoO*_C~t7uj6R*hkJB8(Gy9>xel!r-kc;a5}Wlx3dZ5xLxOtC}g%_XG2iymlKQinh36}9u*~UY>@wAOyk=T0@19R; z-!*n4IM`KrwoSj$On*FP2$ug2Th~`$empR-;aWvj4xlmxNw8z&!0Q~V#$?tT&0_sE z|G*Foe$lG1xJU7azogQF;cbfdW-0&SCIB`Vl`TTk_+;rRLC*I$YL-1s`-@)>k4*&< zZqjZkZ?TtX8tM;afq%iVgBCV=daFA8&jd_46k=CTPw9&wi#z;mRIyscxh@X@dsM5k z9H!hvVM%)mE;&~z65Nyy*>Vf^yyE((_-|+8BAz_RfA=$1ar!S|AO)HTl^0G10^c*@ z>Ms(02BUf+&z|)3`l8SyS_UoMASox8*Ww5CnHtBL_s9at^8Gk&St{ZnF)(V>!UEcb z5iG>*{8WN$>EZ^rLU8R#fiIq95-IZ}hfYT=!I&#Opi`?oOg{vcsMi_Hj6>L@Q4Oa@ z+`<4nL(TkfQjwc30EPJpfXRBe3Q`c+P5&JsseN>SzpouG9!6VN%vwqvJw6Ynd*0XA z@wGvvfxW%ghZS30QD=;93=zH5h!5BioPF!@ye1P?>`y<`rj*w7w>Ga_36=}d;mBby zmh3St=0u$%>xLZsume$lkO(cl1+4YBy0T{1*$0U?>8aia2za2R-vO*LPO>qKmBOXQ zCnAg7QPZ!&p=fr_uZ zR&EKVI~A`l^af#_P(v}Ps`FIw5vE!Q53y&oxa{ct>vtu;7t zPfp7ZVg=3Ghx&dQ|Laf;0Hn?yd*ObW?>5fZrvxE3D=k=E#rCi1P6>u9xC9UDO!eP+ z)Gr5tIVII$?wQ#%HYhzH&%2KtKL0=-XH5y9sHn0R(zdinYunFuKTx~_oQx6Onn`Q^ zZ4FHS%`YsSvlE*YENVXAANIJMH7BhB>mxMSVBwsPYOGAJariLvRY<8cQd0c-{gmQe z!F`wJo6nCy^cvoy+&U3aPY$rl{ zfUdWZ1?eGCTJxrXBK{FP<+Cnf91ro{;XApue1BicmSIOWCd-9X_TGwk$$=LT-X{=t zukc(b=lf)SQ3k=2TC#YYmcN97(-#l$MyDzz)Hf_Xh|E7emzSv>D}Vb*&Ii8DqnwYq zQ|^?ve;4~aFly!PFO{t%bdg0e*?^u{LV)te&tA+LFOhG136F9E&?cRN?rv+}tt?C3 z(@SRMC=fP|xDn(Wax{977l`8n<~-lm{(*W?#w05Cp}S)_;G1i@7V+qAg2U*#1)>s~ z;C;myQGFtLy|=fY&je{`CG@R$l7Q(B6{VEqnjDo)YsM%4jhypMD9ES4ku6t z^r#Q60^KhdXD76Ns=Hc-akVDn zhH|Vb(hF2$B`w8~_p~@RjOUB{M+^Zm58m+VCt?mV4+RT4O<`W&-NA|;96;Wd38E9E z(bE(r*NX$fH&po3nPyCx1cTpkNy;L#fZ705>ZcY9nBONywjTMH$y-8b*5Gt0EmrAl zS$Y!}ROybPO0F5FpSgKe?pY2mvGUxd;BL_7USpOrc~_ zDfZ~vS2rpTU|w?K*}+Z;zq zl4=F;<1f!1FTJ7qD5U9SK=JWBfhTdRoS|{|SAdl$d!RY<#iAsb8lBf%3}wPuK2fq6;Xe|qTL@!`lvIM3K7==&W4ew{5^Y0lULHxC)- zg>c&k9kL+wlZ;&v`qq1`Rn@f~DiADDSH~LvMmxNm3XqfX)@goJ}|5#1iFt%~Gz+6w}8ruA83=USH}^FWj23 zqZ5>u6vVJx@mNt_R6EXm2*{a$0ty{oo?AV#-gU`>!mrdg5T{L?L_#dM-XxftQ^Ll8 zk`)-o(YgFL7mZ1qC*+qWi6BMw$*IH3WCf>sOj?*O7S@r&K3hLkaHJX~1xEDyShVbm z#_%6^&|pO;(mV^4#er=_oi6=?;@VV0p~>g->K(lV<(qCql%Gf+>oLRP@426^8C})M z1Wq#}1Jg9N>$|N2@?plri!Q@)ezz*e#s1JR-Ql^_ic_N(J# zKV=9ebzdb>ag_+Ws9?TEld4wU&^5`c_2|;_3wPJ?Cc?t~!G+q8o&)aBv#G=43sTz; zktgDu^Q)IE&+_?@RUiYyT=$5J;#OB^fuRWr9wJQ6I`~iTAh?axmusbX!l6dcuW#Kb z(Sg&lYx&qY9Gp2ps~#17A8j5x0X*pmBGhZ=BZ-9EJyUO4*#I9v1h^<&m^PQ|8pRBq z;SN?uoOz*f5Vzoo#${W+jCC*1dlj*TQ9fWE31l@gxpFGU$pFi!0rXqyBl~Vg z{Mx%Me!(ks?O>3S5mLryLTvXvb&#@_sA*@NOngG{41+JJzE#dr_ouBeHH23)BuxF( zc{B|tjX>S66#YxLVPLD!vi)Mqp&w1j7bAgE&Q!(caBCI4{F8Ajsw#?LbX2xZ;8M zCA^`YG!B9N*Dh`=081-k4JCJK9r2`zFhEQe9=mm*K__+WZsvVnh0A`~VqZON9e@2K z39JlxcQqzjxQhifIKwL)^jwy>T!33ygVSZYnIz+)kJk9YdD$sio0kI0ms+QaSXC{V zcFkd<5$A=s37&#;pmXMsjPB*lJSD8Iz5o7B3YyVD3`*^wB55?#3Rb$};vMF!$1GuW zEJl5_vUAX}QON&f zEm9j^`Y9GxM@l#YoWO9hTF<$#*5lA#-#Gj%*&3?tCUlV3qlEzyvvmk+m=T#gx=P_f znXjinJ@L87d;5=g1#N_Pq9_3i>z|IDL~doBr`2bIr{#!Ws|X+w$o2~Y={%t+0H+ooBl-6V41y`+=IwL*H0}0G*@N%`C#G9Fy z>RVisarstU?eC49J8t>JPpH;FiP8;YT`%E&J)rn zly@8_8qo0@3UCe)oL0RiV26m z=FpU(+xJIDz=4AELExf|@COue*?Seqw~eUp&fBa&0x5^jL?nOB=Z~XQ{w4o&m=L`R z(Ij*GC?^j$_j^pyKHRLaQ;|*iuOp>hdKe8r|Iw8LJ?bwU*F{7o5jIDeP|RAgNoFZ| z_hiseA`HpB4Cwf8cWY}53ts3BY4|Zz2(!?$pkj%U%z?wuEpS|_?6{tPoyH$))}8co zCyQ~T2G*7`f;<@Wo)HnXR^F)8YA&e=!3IE+i*fbep&gmo8)9^91$jo3BlZkixGlnl z-)ag1?Gb>-ae7r_v-tPnmDag&Qwt(Mk(@!MR}_%xR<`AB@J`E8&8|aLs z;P*~LcC;NyXDW3!_zYr^=@DwRiTa$Fp*rvyg>H&{;H^b7U2(?&FSn7g^0|ees{&1h zPB8?xC6*AN%MO;Gb2=-AlY}aEmc+5_c~dd2Wfm-8QOBS1OP;e@@#<_oE!@%uOqfM( zJw_g+5Pi(gn+>-1n@v9OvV$^UdiJ1#zV6kh_`EN%DYeWAHmlVfAq-SnLX|CDs(w1T zna~G)wE)qM(z&$+)yN{}Xp5KY1B{CGjQ!7#f`Fx&z#^S^3A45O@_Vj%WU}AwaJ;Ry zbr4G4`I?&sQP`KrBc+57fcFyJAIz4O+t^V#%#Kv1wI@S%=b5JN;p2N zHeh${zGq`SV?ARF_Kz5rkTAG8=1M#j)TJR+D|r=tUGlW?Z60&xJ!KTY6Bf{cAP4ND zpx#2bcpX3P&Gu;+mI$4`J_#oSw!VJ_C20t*vVkrz#hX$iTPifX@uNEJJ^K#tLJNh^ z@0VPMU&}(c2>1$-g!TYiX#(&m!p_DWsz-$doxNmu9*Qb+LoWP8>p@yir$JK9IZzX* zAVMZ=TVH9vN!FARd)Si?q9;P92~C<_4s<|Grr=nqk0ggZ<{)8VbLS`gYH@y0H@lfn zfjLi3^I${^VG@G3UwWGdIUka5dKdEmYIb2yDS@wIg&4UHQ|dg~xKu2t<8ddd!QQ!tjz~v}uRK z?ln{KHOJtx9nDx@;+{fz*r+e}KZ!MFbhw^*^4a}giS_j>PoEBF1w?areBgtsd9(e4ztZbulpi9*z?Oly!f{9DHp z+~aAa^g1X}@xblDud=9QGubL$MMpG|nLC~2UD=PmUry_4T6*2)#`z8>fbe2UsS=RHP#a1PRebSAFGPx0Hr^Q@Osh>=NwkbcNR&C8Vo5!NVJhRu zVp)DK<5?$WAcLUxT-8547XgNx_(9MQC_wmL$ zE9em5%-OlBkNXh1XQrqz=o{1?mPQUiWAKmCyJQ3(SLeFudWjihaz(SHFs*M!gQTWD z)gNhCXQP7Lq?pE7{`Y4>ZnU6WIEMw3YOBsCDvm5* z-g^qsT(@7$F{}mgrM>+9w>eSxpz^E)LEtnT|Gxy07C1mik1E=>`1APA8PtqKR{Ikg z9PJTShiX4shDM4{{=`S@#~V40)7i?C(}<7x1`R(jJZvpozumr6o}DZPf; z-EYk_bi955BS~qPn+XI7OGFdzW%`UeI+{*NP?YKwwwD!%k$!K;4bR!=hIL-Eiq|K7?LK==(og) zpMwBZnz!QS9QEXlpVwcx)~j7}2%Vi9_m2I$UjbJFpu70tc6f?RqOTU_j8Icy4mOPY znvdPhu6W`X?5+&L2=Q-){(lMS{Qn005eQ6EV#lR{|M~f@f#bFVOk+rf{`7u-AN9d- z6)B(CX-tHTKNV8JawYG~`Yf3-obDYnW!*e5hRrsEJ0SMMm+IkKUXJI($@HW`KIGUxRg}}_Y zRI<>O;_`AJHw3LZTF`eP^A#cu_Z~*-dKAAy$P`+TM1e;|KNVE?15zE~_z`Xpw*YYv3j`c^eQN zWKX7klOWZWxXyMp@FwaIVf728c%OQvoW9ZtjItcf7a8&Vvgw$o$N zpDvrz{F1Tus|dYP@tojw6kWUP9xQ0v#%6vQ66rk+mZb<7NOx zT5`?7hg$K2SSR;kaJ-%GA#fPwsmjDWOXcs_%O3^)uU)ysINHVe1; zN$_RsYxrm&(z#QdCn?RYM7^tu4f`L&{7Y}zAx`k>s;VZ-GNq(0366Gn2X5iNI&n8^ zu*(jdbFXlc1k7D&@}pbyi=x?-NF=U60K1Ys`oSQ$wDqV zn59nZ$>(9OA9r)Vyk;5xCX&@w&O=MSP)pPrFz-6gAYbTeS&M`{2{=W%sK&pe=P`GHV5EX@Ai^ zq!Xek`J2MR%lgjpLgm8+eYTowg#xp>c=C#9N)?N1vOnp7!L}mdxAPsNi$)2Gd=>>6 z>6N+15LmF);9(}US54d`AD&RwVWe`ig;$AjHUdzm^2gosVUXW^TorWpyoAM>yMNOB7v&=A-<&wUj>+@bstbw%MlL^z?s`n>09~E-4EveHk&S%sRgHUL9|s#`TV6Z?CDET@KxSl@G{eb?_)`J)={8d zA_9iP71aSS?>zmxqUx=Gd;N-HY7$DI%pInr*xd>_?~076et?;7nU?lJHW4s@k{#l- z%`ND^TBY|ELvuLDOH02us_6v0X0$V$<^@79=w@4U%g^RiGq`=Y>wW*1`Wp2A6xaWL z{|R!7?BxD?QFtM|;b$R$W#!^G=O$M)A;R};ZL4|Mcq+UQmW2dnho z%g)CfC_LTWL^Pgv#i*7|KvERRZ_aw7MYzV$P3f@_ehBtif|Nt3pF@DkAFpxZCV!M> z@-AM6M~8e(Dzwt8skh>H0Y6GL?rwGVgv>K^5SX>7L^#Y=gXSI*#@m% zZ-`yP)^J|;2aKmhU!dGGN;KA`?)WxXVd1Z+zTly(=ZzGz%-9)U(OQ1V9BEV4FxbX@ z^%~}`?NCNbe|FY5lHt)g{Jz`aq}@U=)M3T&0dnTg4;BT5iU8ah%p8wq2@p$#ySk6 zU^-)in9K%pbdN(i6M_~*>m=Uab#}WXu|WRx96TS?$0Y(2jGU=>b=-v`A;tSm{5g+g zBM|?v#b;e8{ZV+Mi4@uMqDV+NIG(U{>6v9r3{B1x0YO}rfWqqoTCKsF{i|u_Jc}9C ztRY|k1E&LfBJHx4Y|nG~3#>>@c=oUGb4R=@Za@WUrA3Rs4|zc6QWwTK>0^2Vf4)xv5WAL|*J07O4< zZWa{k=wlSdkt?|i`CrZNQWTZTE&9~sh$&{z9c;PHles2U4(>{EU%Q4H;W7o0-6I;z zrk*T18|-z?&yy#yLpHKoCFxA@-?z1}ZaN;Sl)$YW%DSf8NGC7#)PmZ(&`$*|>M~Zx zY@oDhqmE8MU{56t4AefTRzp{0xzeT)2hLYqRr<+kV$Wm-3#}j#;JN_&Vqu%#o)q7> zwVl4occmZGj>J59{ZmJu6`%%lToso<9*5mts$HS?Vl8(|3y)ZKsn^)I+o!-hDvpKt zoq?>3`Kis^VibpmbnB`? z`2f4UQfgLwV1Eelt|jN;+Ixc|N}{!NG_$*e8t%^vkAlX;WMrA2o zP%P=uS>!%{$wM7+uow8{*d%jQ6v06IpW>f!D^cUYHK#DM|=wf~OT|UQHyC<&xED2b>;>NZfOm%0(lo*DF$ zR^98@qekF7o;!);NRt2tA%jF{q1dy>e^#YWcCfaWcr!b5Pu$!w#9u&Toz(r=`_T}_N<*04xEf+E=P=qnmwj!%g7 zkWJHsyiO+3aD%22o>RFDKCS`(FkEn8ra)2bbcr-z5-20Ty&7wa?mT)4?$Y{ZqG`2e zEmC_7V9#dS?!WZk!a?0$MhD@x%(C5&hr&abci>r&4bwXCd$ehaZx&b{W(Fq%x^C>#zl zFl3>#cXRE_x$$#+M!!OEp}}8c7e!4mJCv+b#w2)pWGcD1AiJD*UpXENzcbYxVLr~u z)#KNGG1AXVlb>P+kCAazF+q75&_Ek&`I8uJ%Y=SJEU3N9(_aGtUz8v!x(Y5W{`$(+ zx=2?95l9rz0x%3-r;SGNl$aQP0OWvb%NTWO{@nj(9fomgO$JdGk}(Wh=Pa?SCkU3^~A5(ZM=Q0*ZZCN=9h!y{ekL5 zW1W| zjV@xPjgnU8&w%A3>!U81N3Zh`r}9$N|H-!fKi~iL41_{?xy3h}FB*sV<%x{ekistD zbK5V{-2pz%;3U`h@&4-`{%61NJr5DFtunv7uJ~xoZ@ky%(*u}?=9T4t{Zdhw*H6Gz zZkz`Go%_5_QmNHceV3F;n8m2Hzp}4^ex8npaq99P>(BEn+#H`DA|~=vv3lh?PM?wA zIpK;7M*5Qx)7ZX_=zn|gy^$ZUo5KXJ%6ZZ8uAMx901`*1HQxnF(oTn`y?I{J|7ruE z>@X{4`cPwPqKq3!FON^d!MSvNtMv#tmuvFr&>~_$e;Y+2Ng_`4(?l51_&>)0RXu`Y zvCPB$qw`uH?>$yKnFyiS5jE&Ou-twp>QP)Jv#w)FX0-2iW#WxWE8#6c?0eHnQWpDrLz%*wn)$Ylu>I$@NE%O4+TMmbT19&CL+w zA>fzOZI$9U<*oq%2hctkF?zJWEUfSFfqcxNT`3TIZI(+}isv&Zcp8Pm3V=j;Oz~?J z^<3hFK&mLQ=&aWCs$l&$fX!hXchK`O!Kh^%d~z*FK-Q~7+kqsgoCsF@=GqjC+ElTZ z80bs)N;svGEcgtXX2IMJv^jt4t40*+JB~t~%j}5HloFH@v+@R2Z)tDDeH2jZs)J0H zJ_*@R_SPMpFwm8^ss;+qH^vwyI_lw(G_u8N0zZ<8Ohsa~CR(a@T?%rciMElH?yg8a5)=t3%zhXfo`W#1}^<$%Wg#X?6Nv3{fD5G?;u{dc~ zO3zvrsh&8k@9%TqvPJ*{10gSL;m2Pwi!P+C(1t;j^wmK=5lUFW=xFYHF1AG%B3MOo z;hpp+;Nd-A9(~7#4@>+-%u~5B>KtT*i#P8|6NEF!M=*RzFI8d8tS<uk4?}i|N;U`8#Xf#mWVZFwPDDFeQW(z3|Om zfE36_^wwGX`y`N}&NPG5Dm~~YknAP!FO`P%L95H+^i_39tVFa4%~X^4SCM)HkTzy@0A>%qu-3Y7ii$2!y-z>g@U=U{6T6$?to zsCJ*mS@%1mC8yyD&Mx=Sul?gNFkpg=!)-D8~=5-AGAdSX+f&0dyD?*)Y`Z#3En-@Vro zBUA^XfvMOnS0Qo@%dU7nVjXVzNgJSbxmntaI-$uy=MO$5VcNmkR<@3iGDO=e+I5z- zDsfwb{0g}QziB%RC~~2e$K`3&XzRlBQV@^8!muwas1o@eS*|5_F-!?`Nr2v4KnTJS z1vC968qyJkmy`1sBEBaq+;tWmH9+JXoxa1D7J(2s{&+#fxFTC~AWjyf>2upxt4F=Y zaFz`)lb=cKw&&tKC$ox6be#-XWeGR!qk_Zj}IW>>6|yqn4IDiX&BoNSY` zDM}SIK{+M<)yc1Uf}v!idX*?ZT49j3Viyu`%eMh1YTQYB8k5{DNQbF~(inww>KFUo z?^6*0WM&K&q2%0^DUK6Z^l0Pgs@@x8M#uC3O(ILx0Aup=R4MhLA%wXMueBn3FVrqVsVD4v!V*C z>*fD#9;i7Rr|2-7&Z*WsuYnEm}@Z> z4?8geLZF_)46NBt)_3gnP6oc8lz0z;}45F4> zI2Szp0|MSd4R*Z5NldKea_ju*xxDGBOv`Pz%q=$B0uy+Z7M!741sQ>PGwV2nS*jQ*r@c(58Ud@Q1~30K1%sOwDh&+p1hV z|2iOr6&G$g0l6~DBAAFD*ebo8d9ejrEVIofbxx%DtQ7I`@&BvU?*ExU05E`WUb4L0 zyeAEl*o$Oj=7eZ!UWP=?azxl+B$~Xh7)3JTFz?ssQgh>oV=W|ki8=4&T}5NPd8ak5 z`y1}l&)*-P&*%B&dAy*V^=8*9yQ}IBvieudEk)@UTO$}DYFI8hik5pN8vxa-wV&sH zeDcnJm*}c4)R$7;QGhp6Qx)%gf12ShS!)58sNcf_d80<3J;2I6XH%VFRdb2`g78R& z;n~8zLx3%DJ2a!qip7>1XR@A;N_R$o479&InEZd$=EOamrP(aynk!Bu(P?@&j}m%#zB zYKF99!zPjwb~6HXN%XLs#?$y?uje^bga|93vlw6a@sgzF6;O;{?iu`_m6F`0_u!|p zFM7L4CC}vf=fD|hNj2&?MJ=oFa3BAO{-{onhL&%hf`QCGU=uZIuC6Mh{Z$V zvHoi^Phr;|c@~0W)%4jaSg*gq#J_S&2%p9Oub&RU9DKg8 z9kt%*vwh)lP83Bmp&zu5B350vdzPu%0`QA5jO5MNyO=Hc8f>J$Z1Szz+G*hnlx59|pC)gWfj=Q#oWC2pNWhyIRh-XT;Ggl;nrEp+lU zKOohtIQI9GU2@k`v`THsjqg|_#H}Mk)_h8y=!@U5I*D3LiAeVcGT#lqypfjZ#wMFcrc8jo#%rWNEYy+`Y2eo6 zcaOEzvJ?}S>$$;;rf~Yu>>=5LBlcinxz67BNA(4{W|(V$JKH&yH8RPn+h>TiAL-Z@7+_?x1|iI ze#ly_fvuo9&Lyb3xEM#1B0asKyLXgy{+0E;`%2%3{#6c^mo>>p%-DT%!Ji9h_gT5a z0)!QI=B(UOxu5~Wcy8WQAk$8eb~oOyaIzfiCn3yx8z!RQ)`>dqb2 z*>UX+{)w^-I+rN%V1H>23T(0bV*NM6#3yv4n0kZbm8}}J1pdz=p&2_Rkl)05N#A8R zfMyv(zXpdB1`v#Y+7&_eJK^VzeiG`i-)qHPLZ#6s@b&QE(J+^IO*6Ber+S);_O9ou eA***uIgZ%|M9gf^O4qN=ZE$UmIE5UlNb6s%E$=S? literal 171152 zcmeFae|*)|eLw!bH@|L@n-D@06O51|r8kyRN>gRd+0-(}EVay1#~h=4ETzsl%Pd%C z9Ze~-%raz_QHqqN5vg;OGUpic<1DkxGRG`+%sNLcbB;MnDRtB_@2m0qd_G_2-1|;) zv(MxEKhf9W{d~P%=bYDho!{sE<0i$V1^*}Uug-8akR+L^VzLaERaOn0sRCm-`RN<_ z%YYyL>MZB#*{GhUdN#>qizn)#RAWfn8N(+$`WqwSw|V?bG3keThjmgtlVmc(vwu<{ zyKYynW&R!3L*?2eQ$Vbw-KM*+P+SQ?QfCFnrL<>KU1{ekr9Hc(&gdQ17uAbbuqbsl z*A+tMS5VB%i}SM(w_Cr9kt>RC^C(U-4VhNrF1wnzHObTz&(Hx~c1>W^78Ay=vTMnx zNix$D!~?#L7#X}pxXZ2&5vIaWh;JaAnq)2x;-x_>_jcKh0ao=Ww-o{ARtnx6VEusL ztpPS{7Q8LM#zDc`1I+Ieyd%J-gMw=VY(6TuF2D&V1n&y4<&5Cn0ZuH!YIHXe-Wk#@4`SFZMfQdth`F7dm5SU|djK=8U1h=q#>u#_quADh@c~p}?42-0Y0K zfpKAR&>0U0Mt5=Vp8>`V>{!V`?!l^hjpb2vFUA=v5g!sHBKmvs|1 z!dXCoJpop?2u=?$(<4|2uxhs8%m8!!>btW7tY0WNJHXauQtk_I(n`U(0k#bYUJ+pX zX2JddI|c>k1$eg#k`JA-E{O3(p8H4zNL8E7M^&kb$8@15%YO zA%y)6(9TrZ(f}JBE(;Ljcao{I8v$`q3xuY$fBuOnLxZ@d9px^0bf8Z22RPQmVsDL{?{ z*E(!q!$vt#W*OJe1DLgSgt$P<0Isw3z_?(SK|wcA3UQ`*h|OlmHip=R9(KANCEVM? zDEB!oWP0IMCedV@J^hAc6;kc8dqe!z*?`@)1rQfGOL~Iw+oXV=g+Ca--C=z&en*HN zjNeI^GJX&k(Sq^2D3$RW-S`JX>}Y(%(Rkss@q0Y|h6HmPjNcpL*Sqoi0KtdnlVJQK zQc#Pc@%tU-g7F7J^kDp>gel`611=kXkWv}H$c;Y~Vn^d6j>Zd@jnCO(Pro5Sd(RBn zQ!)NDuepeOr+Li@m*WrF(=kF%riN7=F*2-9l3K@%P(ZUvlAX@LfSQ2@Y|f6*K%G1g zl0bwWR#BBb6S9y;>g*UGJy1+~Anvf|D5ejFXWN)=)@8?IY*t6XUJ%ss0$#Nfg!LF5 zxmJPrMHkmIZ8W%-T->Uxs_bP+QJIux?G?gQ-JAl3pk&z@%4ONvvtuk+R6;dDibQJ<=)v<3`$AS4+pYQXZ$q8;9gk5EZ7$I$qP#f({15KGGbdul5?Zm!irHQMjTBPPMau(ybw%G zYsf@TBAPg4H^(e4aW6#Ndx?8NIGu$UY73XR7t$Ka!jnK2m$(;hWfp7;TjYh6gz2`h zii}cQND>>>Bi4*EG2&>VaN0yM3uT0`6kdYv#D4BkrB!juuWkS`5|Y9CvhDLyq<&;OIGYbd^07&7lF^ zcErsoZ5ONTXt1HN2MTrej4PCuy3bOK_LwQo<8rgxo-d_HjL$XQ|p z4dn7bND}3dy&cxTEKp_gR?hN-O>{t~JD`P(X2`SdfQWmu?f~Jm1KL7_7FdW9brLpa zSRS5ecN4+^P40lz)QC<_PO z!Ubf|!dka5;@(=fP&jSj!VsYatr8Y4A}m|Dm@sYO5;AC^B}qT(l{PLFuWaLuiUfPU zDH~T1%Eskx4Q{1y+RBX~LJNjwSh<<7Y~>chw3XY) zpp`$P0c^Bx>2~qUmhMzUT6!7Xm$M-`OoezZwEgYr_ zwwJJM=fi|)JNJ`OvNPe}rCL8Ae%a2)6p?m*!tFdr2JPG@I}Z`k&StkW;@)PrQ#fts z;SiyPzA4xd!m^!53Db5SBcp6*QXTAkR{XM^&nqJB{D#~40vWV(mF#?xkal7Ypg$wV zoB;jJj?;FY3=vvzOaeP!AuQW@nlNqWt7N3?OpptE(OL1!cAis2+WAAb)5xHmxW9#Z zM*-c=R<|?a-d49$n08KpBRE}DhX~D_aSK*U*ocziFH>bXLR?Mcs-w{w2q%ES$)d)Z z1tBPEZHuFnpq|Ijo5@=nVI#`f1N9;6B;?GSMS0-Eh%u6DG7+Y2nCo;#C&olhCK&s9 zXpz={6%T|Y5CQIDX}W^}jZnvmWlGEu6CQJnI8I-}=^VvqOif>D4dv)baJFKO9X5?w zpsqB1t+wfenCx{L00md`e_5Y1B#-r3uuF)`^X)7_rsf7m91Rvu8!Se8zD;Y$U{9iK z@Em3l4aNydIY%|@h>;_r-{*4Xh}Mc?;65rMpj4PH`-QJ?-0Zl^`k5d+z)=~?ovQ*2 z%bj_IXy=W?n_t(FQE6`o^(vcBF}hjP@P^_T@oHN@F$~FLp~a)hYl+dokRLM3+Crrc z%;gR;zfN-KJ6t3&GIw}AA^O3D*--AV#Q~}&afg-=tKIByk6V(m6dh%W#PHEkL@wA; zhdJKsLcduSBIiy3;)V<$E^ublpU{UZ90wob9t_o?(9C{QWw#LKl1$6+vN2gB_DYY< z1uk5+Dkx8^U?;?DD5lGXH;#P*0JmQh8jTc6qhxd43DYVf^Ac5)Qs)|!=c-q(HxFpt87O|pmDf=tW&CN zkYZG3{;;gsMaYdPrg)g*bcWv!sI$i$H+q#<*+E9o&Ula&S7nFD;DN#L{ISn7RM}yQ(FPhT z+?Ipyk3fv=m+ewV}!^n^nzyt%wx(#CwYz#39I6OpLg8k-J;Hp14A*~ zJv>3F9+XI`mH10!AaSLJ-A#a@yT43`<`(+YD}<<((5Frjs!tspQ-|>KX^Bw~cF2OA zahOYb0ITfP5INT`=~+T-%aV7)EbMa}HYRTetTGcseGHGy2@^?DgUBdDEOQnZsh0MU zwUpDL#l>|>uYn9%o>a0tFEL`Ak!{TmbG)~Wg0wiS4`W5E!&Z$I1#5FSNr#FB>u}h{ zd+LbW=}>pv0Vg}`khulxc6dR!J3GZ;XR=IjdmMI!JN?rfPUav4e@+)nGC7^qpdrj4 z1Fa@ADS<-P3XU87A($GwgqS@XlPi2U%f);+0P0OPo464zvWPi$GI-2Vtj7G0TD*b`B;Lgwy6j3qJcZMN_5tZtL3)87HdWcxfzjy? zigepGU?ApXY)j~D#JQF#lfmi-Y`5!Np|A{Et8Ed5U1&5ta05!Xn0OMVXHFRCS4)V? zQ`^!2)e{P~j4%gp{20mwTkfzmjI1{~oUD-*L%bk-IovX)J)uLdq!_NFU*Ou?2pi~_ zZFFsw-A)E9?E=I)XANO{+0zk6PYahlowYj|0Y^p10}148EwMbmh8e83bz;C3+J}I} z^(ZpFi+mW?PPIn6n~;XFgJ*3MVUlT!L(68z?cU9@cCX`l&$h$15OqwALoH+EawkL>@KKJby+)xp# z?GSlLqM4nBwVt`yo)ixwgF3>+_7pLf$y!NO*%4y43eEyGc9amE8ruavRdI|ENOgxt zodgqa12y(sRL(&;XUC)RHr2xmglyTttr17J3a9Jg#TX$BIuXaNAY69qYCFjYBfRu7 zIZY^?=1&~ag(TZi92}vYB4p_>ouYJS2xIBm?NvZF(H%1XEQP6N6me`u!fEr*#R#Fi z5y$chGlDmx)n<$^!u(-zP(AE4=(5>bx1pXhde&+QQ++h&xZdkBYYmRW(9mId;&LBt zb}^Pl%h1X&OW+V|L?3MhrUQnLj9KTQU$sfQT%Qrg@(HIM(itO!`iwZ%r!XVH%P8M! z>t=)z4w*tu9`&iguF85slA%7Q5wbqn0Gn(EA?x!Vl%mQCg6JX;qVg|^%B=jH&5Fv? zA;leU!c=RGIF?R0UAn#)Ax@D2$I?m82(eGkrNW5PT`msJj5$f7x~~jLgwpjBvUEL= zHrYHvmX3F=YV7JL?T0jH*F-4~1F+p9Gk6D%<&Se-Xuf+a>#!(wu2fX#4r1`{k{YJzp>6YMU#Nf3J9;nw+{67C(I zJ!-P>(+26&I4n=F+8Fc*jmV()JAT@b)sPP?nw~ zviuga#0E2DInGjL4aKN4Dq|A9gHUsL9Vgm$TMGuOkHKmipcq{>ADYxUVYC7D&HHVA zkjEw!acok;ERT2h8r#4KY~TIJt;seLvH@YEhXunXKxRI?ag=w!?6S>N#(I*Qm1MxS z5KcmK9}W+2m3I6{5hLd|PrJ0b+3vV>`mn<>_mxV1Co!hg%o)MK0COhY?rS7$8sqLnk6X9)+lRn01h_T>d8l4COx*U?~5S0fzD) z4ltDesQ^Ryj|3RX|8#(%{6_-}<$or?Q2t{9hVnlfU?~4{0hY@DJQ=9}LZTubkMatq z5E!CfkQn-`HaxZMFcyShXl4Qr=5`-9gAKzH!EJvJ2>>{>B zoWt{q0FCrr5NtPE$mbSw3Dl~rP3b_bAF#nX2`6D4Q)F6@cL(_tAPh}YT#jrOaeIkp z;K*nVgAecw>4T&BZO975n7iTzHe#QhH@log_r+M1%?uHE?=|x_n?(p&#WS4CY)%w& zpv>B(gi}yFncHM@l^A?B72Xtzax;1|$U zAiSPJ3>@_=U7y_`h|HK4GFwW_iC{P^6H9|FV)xlHitBN&foa1z%ZZVgo078?j`PVP zsORh^!U-q{1~qKPZV@b3T*R^Bgy|bh9EebFD;a_N-**Dm*eXF}=QlR;w#Mbn$#lqP z*_|c%3C6$71|q|&a=oihK>G5H=<|0;QG)Y9C(4?YNkbTx##fNX( zpa#7TV!X+hAEh^0e3X)N6qd5x#1qHr^@tC>iPXa^LyV&n@1pHC0~i85E`~!^O6xM+ zXjfqN*(JmmWok1Q0i(aoBF6c9Gk5RRHixhsYkxLM`1Vp^7%}Fy3VmB`ms1XtW5cEo*1i( z`pVgD2;#Ae56|vy%3*E&IN5Dfd}OEL?=ss&j3Hs1?CuTX{5YlC^8d(gtKuU&tt~FI zZN!`fE0=CZ5RVvVOAK48mejH${ZHTxDC)ZjFVIFhb?#`~Z2ZX#F&D) zt`-o+b(Lqf92IzTr$W=m+Mt2rj!YMBW8tsbnu+UyxhKaqsFk<@Qf^thtb?!ggsf&c4o5#7Hk%mZpR&r@92b}FG4u&1x_^VJywt^w+7DOR+#pqz z^x5TvXcO*}Zo3i~Hnx_X+)oWGYg;Qj`6`O>`oHf#s_kmxdf?#XYg|4lDfZFcF1wbD zvYW4ye#y;?2vcsp-f_vzi;2r_zQM)rW=w*Dq3B(=C>zz^)d-RROY*q9fiO zVD=zjhpi!mL)b(iy@L=}8vASPPD0G_jYYhB$c{Qd21k8I2Fan1*l6<`1MH@0n8^r{T62Y}$FOy85RW%;ZlRn*_c#;hR>jAnNE2tZZF3x^ z4m`+0ta*Oy4hr33C&d`<+!;+aNQ|N-Z-?=is9aoH0PYrs>nbe(q5oji*F=@IJ;bR6 z;9ke21>nQNaNRfyz(*)AEdcMg{lux+CE_@{2$yGE)qUytm>q$VM!tj}~ zx7YAya7=1U+hiPjMPhWkGlHia=E7qtrya(}RL(eTO%6)=Rfq90m9q}p!qMhy4&!4g z=N!hzR9<%&A5$@h@iCQQhw(9$1UHItc;Sz!;Ee=_7xF9-Lq)Y9=A!u2N-Y`ajdA&t zbKK;Ii@2ZZ7;80*1?XRS$Bn*V*k#ScY`{H!z8P^m-xOv8Mk7QD-PVc-NQv9kelRct zcQA=km+iJr*Jy{vG-~9mn;M9dpckSLQv@-CUJvPjO;ddJ;ju5$Vr4X)a%Arhg>wUp zv@pXK$Vb!1yo0|+n@QXRD+d9qY&IcuwKBTj<`AZOYQ(Xp3bUYiJO=Ueb}1ut0-gZu zvdcsKu#CAfz#;a zpzc**HyYrD-ZRz&Sh{s_2N~soouT1li?fqB)wCmyOR;56Y!_8R@-hubTB{iVFB2|8tozSc{8CO z+4k99!pX>(KEbl&;StfQ!DF-m+plOyF3h2b#R&Lg6UOF`asVAmuC_-*GGQCS{sgsx zJw|>G}0VnQ2!iemVvs|WHf zdpf|-o1Y2rLgbDy?pcq_MZm##^E4tBK+@-3syjUW;8fcSjNXNHMObmYNX+xYWe{I% zCkac74&2)!=ChkWhIp5qBJ?3xx9%gx5Dcf*x}4RA#)sZM=nOrkk3pLaLNS5{O#NC& z5)pdn=&YS)7OC;zjN=PsFyyZ~E)7p-9hZiu*BqCIr*ptaSZ?Vsqm-3a?DqDXG%CB& z<|Qkf#LY{!i{sh3TWRo2k(TR)sYzR(&lLYo4wUG*&JdXBric;tL;)kj5?uXqV(`G zdf4SsLt76$Y~&8T-L8b3xz0m?R}!d=;)RXrJi=64xY}`PZkX@5v@yMgxV$l4;Nnu< zUMpOx+l4Mh-SU+&l=!+RM~Ps}BElTJ$+lmx#e|L6?)Lz;+Y&$;uJ4AyKT8!Es~h!d zJOiWHa0z4M^iyKg6cCOOR}f+xyTIKt<|N`~%F)rZUg)x00}P%1Hb9wJYGtdaF#buz z?G#T&zvnwn7zOSiPMt)oCFVEu{3K!>VY!vvCGF74vbKQ`rm2ad9<`7@SLd&OKEL!TQbS83yICUm+)a8?s z<;V|jArO|U`#EWss{47uRCOPBT&nIDh|AS|!o~4KDP7Ya5w%yE?i zY2IPIHe3a3cBpSpL5lZSku)}2T&5JP)gkv*9P8QylT2^r=j@Ir zJ8ty7Teo!sL$ML_+%#w;IqRVY4}WI^cG+}7KBCnRhz*d(51-A#k)vbkBbg4HNgTTi zP8_4U#F%^><6Bo$&)FQujbWG8Cm0%8yIl$hwL-si=TgY!^IXL3vMUH-m>wm=Zb(rf z4>?`sxD_oLvAb*@F&ivv0G}5PFvqmJY<__HbQ``k8enUWqzeL^#2UcCV}NpLl`RY~ zyA09}yN%De1dV$AgM)FR^E9;A==k%hS+h7L;5Wm^~lQ@?6{wQUXYePM+{LXA6~ z?d0oGtR;wt71++8=$n&%S40mT6dyXpV^r+2U1T5wv`YHoK|-Y3Sj3YNd|Pl27{K8L zIehIT=uatL!5iv%dxVS@7+hS$MJ~2UA&I8p=f+eH#+pYd#`M-a{PY+x@_QU&<)8E* zwQhUDvA=_fZ;KpqJV7t)!9haaesg<>-w{;~F^+9{9jkAYyyKSRt%SeQF1^DHrnnG`g||6V`jBUv%IWz7E-5+EtCk!OIVimv z%Mr727WI|DKFgC)+W%**SqeCJ4$Zek@}#scsAfUnpw`F_`-0JrFSL2OytxUV4OxfM z<+#Mdza1s)ryBP;W;cR!5M#(D#|Yv5jELhC{=$ra(kQ}|U{TB=;+TUlBh-fo(_(~> zL&Px$VMahbDu)@2z>^t#u!LoZxOX_bVO_4wYVM{bX96$@yXl?In1ETjw+5pZT4`DX zc{~u3L_5|68AzVaQjB_LiRV~Y%Cv^E^d#vP&vH)85`zLA8!@U*r4mkOAqJkw%0NR|q&1X< zCxI+fcU5+2$f9}p+?X*8C(Lsxz6gWEH{kX@yMhpd0Y(J;Raw6txAY`wDGNcO#a~Qyf509}0nJonmnex&Z6rK?kR)(tGh-2*vr)yUXKF1YnH?0Ai9tcU6Yj-8H zz{t@!rj4QmO}2_+y8rF+|LsA0LJwfp)(~PkjFo+-wBgWc5ckO+RfZzEy3DQqG{Q)sH(6z&b;ahk$bh>>ck zDQu^@n!-!y6=(`O$tX94A;MHs*d<(U3K7SqAk3Pn4^81gMnG9&Q+Oz(KVDPVLwTwx z>=iCIg@|KQ5KcD*F>q_6)D+ShY6_l2xhXu%EXHpN`zbCrg#$r5G=)bA+49)$QF)I^ zyVMjOCrmYkgTSoX*c1*?uBNc78VTUr0wI1L5H0N~!3;jM!sPL70gsPz=-UF6vI`B* z4P%r96l#}Gad{{6Y=F6bB-Lfl1*k1Vl|3I|b{V7{cAOANV>o27ULeF(6Ng8vjRfOb zsmfjqVvTkU_7Y(p%gv35z1m(ToC+8E(?elt(`~1~M{@2AWO6#Dav0I@Q2|1<^yc9Q z$Bt?P_8P_P7hydya$$rgfhd=2wIs}%kR{1+zqL`+6VW zjw8lHDtfvVua6Q=1;j=dl{-fe%X@rrnNwCD@f0X<%0#7IDvSbzI*2&dfiMk5i&Y(5 z&Iqc53NKmU^9mHB@i$g#{5Zs*7=uo1Ggk?ht0>}FMZ#%+iNVGX4XuaL8uFJX5vvGa za9|cFYcq!cELehp4V4V+vjr5F+7RAXAx^!xy)dMvuR&$)I>9*3RoS8-)?T2_t_MV} z^c)U(Z=jIXFg*RgePob;LJoUNDJ~Ct%K{9;-i-l z_Kh4I?<7O#8U14hN0_o!V#L^oH1X{qhw){%bq?dpZtES!m)-7i7+-eV;4r@IcDKX$ zvfD<7@nyG74&%#in;rVgZdG=#V3NrlgjHGFLI{WGTq3i}wi2U%_`r8h3H!je*)bb2 zp6r(swkrXo5DzkTf`Oz<2N^>l#kS&N#>m@lGWbB1UXh0%9|}o?>3a_$x?Roi;xTT8 z_P!vl9bQ^V{74Yj4KJxAJ`lv+!#9i-ciUqS!+6}-?YZ@SDx_L5SwF$G(z7 zYdgfm5&a@gp51oX#i;|2BUI3Q_%O$He6N)Z%pp_aA<8i_FwRf)LzLC_T!_-D8I21> zR2O0%Cm*BrqL|x zmKtrI-bJ2Xjdc>M?!qBVHyO>ra5!>`6yl*azMLv~l4%~b7MT|Lp&+9VVWxY!;qKay z%}~0rOX2_{VDFOmIcArHb5L>|Kg0-O9*j87gTjp9Ymp(Fr5wvSL>zMvW(1!&hip!a z5ORn(<{-=ns7IM}DI@q7c(k^N7&%n)&_$RLFz)EkMGSn{rZhLEHIU{59;H3bjYD=h zv%rTqkb<&^IA$T7&O!`4=T^!ht)VPDiE0F$>{z7GgBxzHrPUt)VPDiI@cz5zIoXo{EPm^C{*X)xSs0;n*W; z+~ZJyF=OL_FSxMe=l(VrY*P&OFl^%F>f$ zZv@0-xRY6;QM%i6Hb^`XGOh@7w#&s6xM9g`vfYGi!(476_Cv&c?1+sA8&QNQsd9seu`5Y7TlIoV@K&UVn!URNI2~;G142Bw1)iU zNyI9`Q4F&{S@ro`d;udE*igy9K6`@V)Q05{acaZzWJoP+SPlzfzbJR&j#Lnb4a*Tg zWX+1hhUF-QT!9SF9s4U!cp8IZZdkZj@3LnD%nb@Y7hrfW{`mmIgYm}$3=hV?5MX#P z{zQP`!T1*g?C4j@F9jGLj6WHm9*oEH>H%gCLb=0UAw(GpC=tfuQ&C#sJE+)joR%2+ zo1u-*MLNXGR*L*;h^!LU*;zpFONV0TC1UZHJOn)$PRBC`-^*cz(Q$5;VaO_6BQ2g$vukPCdkMGV+Z&u!&_tO zA^2=)rL^&i3+zUN`LxpRiD`cvu+F9f!fc#oRWiFkW%TBJagbviK4(D&CzIj;83mi| z$u)=1r1m+?Cm)b>uEWOU-GWy*)bTd*?gwPv?%_I{=eSfM^Qo?xtAFe{Bc^GJ;nV!^ z;<4q%-3f{{G7OIO8tzVbX5(yp7c(-uP7&{*(N9bMSM_Bjbv^Bgr|`(oK6z}Fp<%9& z7#XZY`SEmv!(6gV@MeecClqgS*qZc9daJ`p8gTJ@iw@h^N|DrU4%^XM6Fk4NiV!YN ziU-)Vb9Or!d?BFN#*G!8cOU~^tf_QIqT1F5g&LyUUq@{l1a z=4oQM!FO(P&z-er$S>{qR@*URyol#p)w14m;$tbJm-biN^TaH`h&?xSFm)SXCl(SOv88D+5Zmrx}sx6radFe(?pJj=8OIoeB+NvGb`dS<(0>aF0^hSpL z2X6vLeRbDvYX*j&@q4TOAq{+xKc?Ux$-onNWRy%8uufr`T&YIze((tW)ixz0IO326 zkN!?`y%skej}Q>!`#0{nsa8m*gBCke7^gd7`9Jd4vGO*Xa-KYMt%H+rLJUD*pn$k< zE{q1uevbR(N{!>fbRXxg2y(qsh;JeiV%Te`RB!l@aL}%W_t4p{j*$tQ>>5Iz*%y15 zc)MK-2C^*_3m8;j%t9(4^@d8RSKA_qu`Fg$ko;m|L=1!K4TO5)3SSbXd})wZ{4x^u zjnd~t$mIB!YO@$rZ}jwVdy}HPEq9DT6`xk+@#IZp(33^{{0W_V3mGZr-YSf^K8UU? zC7^e&@IgQ_P~J+nwb99M4`Mfv<7Uc046=84dhjQHZiW6_3kFQZFTc~Dc^hyAf95l5 z>j}X}mJs79JK>Uf8>041i1FGH;rPaF3gXJfHQBwM8jPFo#%%?I#$ic{yth$IBfZ^i zckRaHLgl?PNJFa|BplzAp&%a5l--^<+Z|2G*+Yte?2CnJFa~UIDTT_j)5DO%SbW_# z&QANClbW3#bq>#P!|e39QZ4)YATjo2`8YcrA_KEiQ=FX+lYxa}bLH9Th!W%&Q(+iO zF1DkRW3*5OueN81u`3@r#$@eT@u8=djgw%AyG^mGey zz+NIoeN`R{FSeH@k9H2&D<%EPv(xEO`e(}e6=$cjqx4@(=~tSaULT=n4OxVzN)p`@Jl$MHOASg zjT+qT$JwdVqlB)GU)mK$(;H`YnleHkC(xEbHF*_0CEhBG9n4Qw; zaCQ<-Fv6jq@lRir;sqz(cAEt`u1hn(Z0dudWoO>z5c1=1#f#Zfz#M^#1+PfyTp%U z#A@3>%q8BamF`AQFRXV~+a_Wx*mI-w?iC*^N_`v*-<&1J_o^Bzw(yH>o8(~!1o!VC zM*e7-qc#F)nHWn4C67C%0UIjoR~&P8kJ5iIrC({x*+V%GG1aLrv%SKomr84&0eiTV zT&31hZTmgB&@ub$fb^sJ)%K`kpBhm7$3uGKt%wg&URrkIp>JSsjd9F*k{W7R`fMDY zejQN37eRj&_lc0gWIy(al z&9->rb(V6yQMz#K2}+lp3*w3TNgQ-hQ+gOykbLHL8zzKb3m72zD7tV9j;_H&ep$;- zq5_t|nr)k`+VRAs_y`sHEJsEyszL_dZh0w`Qxs08*b-CJ_6I*VM$Fl~xP>WpStl7N zQuv^0-nu;oe!6izH44@v4Ga`sDtyrh43wv!pWnpbIfDvdgau!LPzMkn^PzcWkcTDT zEW+`Ze6xeN@{%uSeM$|p5>`0K{L+xPb_(q_7f`nK(d9Y2+_kZgmx%**1sTXaKhD_P z?+K*VgY%q|S`W^5PHH{4K&i%c0Pc_xr`Lnmk%4M1tp~3sWBm2t4N8zbtir+pW7ty3 zV~@m+hq%IeaJl%<3+urZ#1+%pDC@UwnpH}P{ zp}*Sph6G2i2OoC5(t7X_;?#O@e@urh3uE)6k~3do{Eb=upAjo;@_<3V8fRnRGwAxM+=5XGuA-~C9b#Zg@GQ?eWR$@2)=t6(-J1b!vdJ!P(Ahmc!9a-htZwxc zYziUn43^5;0|v{w96_H=^T_y76VH4GFxV`00xY45bC5Ngw`<7YNW+8Vf?X>)pcfaPnI!|x^Yrkjr(@m-LwtO6ftYtc zR|;MqU~ZY<;sEOx3f>T4Yro)<04L2BTpD0okKnQZ+gkvu?8X4I1Ara2oDhZ;62LxN zL5LQmCYRi9Hxr|rv08-7OC0QjsDP=e;t-y-+bG5g({~ejTNQ9p{1ivjK3hWuYSlBW zwmV}4b}1~%28c@?8aI5TU#gb%L7aR9+W4#LCeS-d*v=2Y<4!l_#bg{Q8w4x!$p<40j1;?c? zckFf?_Vso4ATZLUF}Op%hfHe`x>PI}ehU8mF1iy_T2z4I} zA0=$S8e4q=Ker_eaTp8_x;#7#(Pd8rIUXcsqb}GXGTe50@38B)dY8w!=n*ieIGi7| zAcr+iQ(ZS5N6&>y{HVkzF56|no^i-};Df-&Jn7QS*ykLVW}V|y$9R#e^gFCoc7kF} zN&{mbj>gBtDdt$#kKAyRpAgyRiz`_Zb#@92;7~1RC|0$!uv&1d-o-GS=$s?X#JErI zNMmlDCGAQm>}aYTO^m;?nsbb=3G^q`NDD(cI5JFC07eTL*i=n;Q1UiHjDq=>1v?3~ z9!Y$)-%SR(WApIg*St-P~u2{?V{b*0pg;7&rDzdT<^lLTEx8&;b2MLHV{(C*UND)BuKS+#U}*_$2aU= zMIO&E4Bko&39!_-6%rCx`@u-=(%|q8+d+&PD8P~oew#6flVXlFKVXAop#6@wSKS3U z6jOWE2c47JtL|}5YOlIasm3)OeqVwZ4XbqTVm}$_z3QW6jK5cXTnS=;7-z5ggyeA# zh+j`6hL1<@Ef0$iJ&t2oIX^`V!$#{pEk5+ZUiBz(g}v%A@iq6#ozD`(ot00mF1F_- zk9H2&@sfV!z3Pck`Y)FCEACZKj?#ZQrC({UdTNCJWp+B~kJD*hEhSfZulgG0slDns zPrkHQecf?suR0vk8*i_g;LD}xNa22Sw`KiHrm4MZEj2VZgmc6Ok5byJ=7rh7M-R~G z6&Pb$M(D4$){x-ny=sT+mG-Kg#HqdN4CVH*n%W9h~oP_T(SJ@n5&Y#1_!_f}Xj(_-tBZ-lK z<^jw(#9ZCR?co(<05dzzI)r*8ESzC>BVN8WA?;-vUBriY)pAOi*R(@|)wB7^(c;-6EaU~8m7h87VWb_W^JMLD~ZkPgNm zk9lydtLw}BDDOH+k+si~>!Z}?&<%uIzf`E(0lPbhE67VdtbKzWqwIJn!Gca#{0jh^_9i4VOn@jXjiVd8sUeCTlu!8+nN@&7XMosc}* ziQ6b8{mK*H$x-?*m-Q=7e5Xd~pHAsln)qHFp?{g34f^9ueCJBZRcbBOW|XHUzF|+k zH1Q=D&^_8x!(Vv+TsXnvv_iFFOs$Rj8a28t2kfme-ayM!0~J`hY2V^eN)unJFq+;t z6JN&&{ngeP5*$78b-P|^;+sO8n)rIs>7Z!Sg;_L|lz*cpz8R3CC}H9&P#Z8D(#{Mp zoXXB7M2WoB*4Z47TiPFAO1Z{}BV#v$tL<_{hYMOTCSlorh16s3#1Gkr=%rKHelp6Z zvRAo&oU5?KA|sA(ctVX3#y99Qq1b|5Gg7`F$~pAn>)9iv3!}8y&r_HVTQpLBeU$eo z_TrJ!8whpoaB$4N6#L9262n$*UkbL=p?|v#pD%S-A5JB1bjZUW?rxS7!fWw!fh!z` z$A7bSljCs8hj*cfxjvwwnD8V<{4+?d%2o!bmRx7I0YZ&48;X28g{+)nC!dNd*d1i> zW6S)*yUh;WP@IzyA`eZ@DAqa`H>i|dww{oiXBN84?g}v1Be)?zJ^j&TcL%5=FKp5R z%=SaM!!{Adn#PeDp?_MG(tAfrw?wJe^VX5lZBa@yI&Aw$>5eEZCTvO_wlgiSvq3=c z$9Y#^mts>q|0iQkLOSfhbXs@;nh=TQy~WkpUQaw6AUsU5_TL-*5y<^ysErL)YGVf^ zhL;v1&4NAZFn&nyF^BQ{m5)1&->*FA(7#`qwI>KMnBi0iY2o)J9G9Blla9j|DzkRj zap{YbPdP3%j3dPSAxZuf>}Z6jAi!e|8_u1z%Au?U#dg1H1~ayh2DzinH0vSKDba*jtK;h9$f)<0`pC=P-!#sxvU| z;QJ{w__b0Zyv+~B>m`OBhAr5zGvrUmvz^MdRc9exR!hi^!J6u_T!6WL!G-|qXA9;7 z3?G z)>O{?I*Mi6EtPD$o?_azU76kBiH~F3QYzE7;pzV~W-!68FHkJMoMDo8ouOA*XtEnmW53n0gSR zitdmyU~!edva(j{<*9xkMu$2~Ul*WE$HYO%qIt8ui!e49+;54}ql$a?Na@BX-6!d$ zk7b-rM@qLv=?O`n*iczASX=#@Y#<)d|7#+52qOkqJ1qSfz#X`mbA*A30X9;q`T}`%(37(Mhs6W zN8xmiVl*;G_?9`QHI$<#fgB6WvCf`F7P#PC$hndka`$>z@C8B*5w}nQ9}6Rcz4icL z!A=sg9{Q04et*JYb67yU;&5WJOwv;h8^Zf~ryb&xr;?tD(#?XeI&9Kocld2}hmHCs zPMy652(>V%*4gWh!{9M2W%Q({6WW~Z3N{ZvQfWx7rI?3nMf^xT^&7}Q-)QPb7Il^f z#KkycYzvh&#@g6hcHP$IksB--c;gMF-pL5G9o2(ZxhE6C!-eoJb;P}x8ri0V%Qd{y z891COz3!gYK*A4%B#|O}5AJtPaT~(WI4xwT^8kGLJ3yT#;R$X+80Vu9KD6aH9N1!} z1xC8HmELsiuvygRf^&FzvBHEihhnxSn1x}aFTgOWTpFN8l`fl0h?W+VFAq?MNp*Gw z;P`g*Q(1QG7+Wbhn@2H6vmPYTZC86*sH4F_ScVpG4HeYv??okmajjyYNwCsxvW1F4 zUC0&%Ss1skCq(LUH%=!BHPD_IJJ8}=7BRAR3;4~Jr9r>Y={-K;-cD~1!sYfb=n)e3 z_)hQfX$>@huZ1LG5Fa(idEzo=!5YQ`H2CVv@)0@iDB+l+6oS#*0HM%>%&bts(9LJZYmx7T4>Ls@td$fBFh#P`XV1$>z2KC|5(2E>JaYNy5? zp^&G8tiu62K*(trXL5ev$Tawes=zYh(WqXjE~ne$rRZY^CG?3WC{9&b#IeeR(}fiy zU1ezv71om|SJ{&>i%?||$0`#}XCX#Ys>;$D%EFTGJM}n z%GiNv<$&J?b6h&hJq?U_VIlb{rEH-^eB6%f@Yh^C&dT9+s%yqBj6L|pBc~K2@g`b^ z-$$DaNJEYy={~C_gi~Z0W{w;&I!g<4#xGM6HsEb5LcHhI;<%Yp0>o_|yG8p4>@GSS zhx>g))=7-i;tDO|xIz<7SF#wqHvkQ-!P6S5WKV*Q^-At$7Fcyx{N4k8)-qV2Dr~YI zH*i9N4G*7LCBz4NF~sAq#%2h^SHoeoo4UJ;;$EV}bUzZ&8*C;q?@lg2Y}|S#M7@Py z3x|W?S$uz?4}9qJ)>u!EH0M&2M)&xbb9uym$TiKbBm-{MHVsK%C5#9o-rc&`u2w{9 zB3*1Mt|1Q3I-^A|5X21Ag8cJ#txKB{o(t62b%dPUP`RkQMTB@9A=dR`$IW^GcF2|p zmg_R&SeL@-x)dW_muU^vr6*CY%Vp7^3U6+qG&cqdLR~H=g!QURe8Q9vICQz2TpF4p zZbcL0c7~S@_nsX$^PVUc`nLhX3xx_#wqYN$%BA6Kcnzbn!@;W<3GO6h*B^6p2?ak1xZ>!@{p|?2> z569!{UBoy_K!4O1%OXY{!o>Sr&N_@=8r{hVBeZzax%qLO9(f#F&`s-)RlC z2~VQjCU%7^ROwZ=JCr~_;n`#l5~5r1wmF*cLxlLQszy@u?>)rq-&5$m8rw%a1^Six zH&zOYUK;!k5aI_$P(u7Q*<-{wa?|I%8|f#U~25mJkY|)-1hOaraV1Iwu zwKdS7(Hs%Pw8Wl?Cuf6l=%`0sxha{Xq>mAn-UqC)XNge^c3kBAJYlKh=IsT?%}Ec$ z?e-!dO_(bey+k1fFBJ+dJ4syX7Y+7`<7Sm=$W9YtOp7fh;@Dz@S;IP@Lcv~T1P&^d z`tXpQr8w1MB91LaINf5z;A8&K(2S7QP>b;-$}Q$x$Rf0u*Fy<(XwYOv$Xa2G!R$y_ zp0~j*4lybQ_L>!xgaJe}Q z*_Dh?qX^o-MI7r}I9=ajG{ZBozSA12Z%?9J-&ZjUST~Ue3^g{7kbb7;ayDO5`1J#j zX6+h6yqo|A{_eMHiAy8mmrK|SwAnH3!wb=ffY&$}p{AU`_2mRmz%N_Gv4Fzm0)E96 z>fqs6z_bSP*d3CH1-#pCU=|pWC!$0s;1WU>kd>daWrRR{;Q=GEFQXFXpJh z;Z_AP3Ug5p%qiHQpbODAcLk}Y1$?%f@FEoL=b?;y)`ZBG0}RHlJ%lh_rr^Frkg{E1 z!r4a{N2dmRn2_uEEr?uW`w20wtCuv{qlydZAmY~8V^PYnDrX0ybULKCK}}eP_o6vs zU{E+DEFWl95wSP1`&`Zzf;vSE{MZL0puRPZUTjYhHX}W`2wOv8rKd3?;@IMZ%PnrF zM?l$1EiSErEFTC-mRsC2!Gc=W;-~BwVXD@JS&MFQpFKx~RHHf`Ol)SOy4_9$7+ZmG zZK@T#Bn9~&5pdd1+#RYN`$59g1b>>iJi)(8n3~{UbByOOC$NIr?R79vkiu|o)E5}Q z++{{}v=g7h?)4psG#{vnb8(b?R zlp9=|;+NCwET^Y2JmT2kgv;gqiiweKaA^$`Yqx7)+<^V4p}Vb{Szw%~^)Y-3AxunT45O z!N1pmJ_uR_`Vi=P(653PgMJNk1L)T?OESNaS(^E9W*N}`0o|DSNM?EFqnQ<%j{)5T z`pwMEncvFXlKE|1-wOITtiCPtiOecoug=__`DA8I=67*@2k29ft<8KogC}g0&t%qR zKATye`F&j91^OIhcV|A2a1$P?-;()b@V0`!nAw*3Qf7PRK3wm}d^xid|9%BDnE7gE z2>;%n*_C+!|Lz8T4KcrtfA?m-k=d8|Gh96k`g3sq3iQp)L7=|@JpptW^mOJsKu1B} z1^OQ7`qpazN`)b%28KcuVc75=Ki z#frZavJVR{Q;d)3dbz@nDqI1LkLl_rg}O>u+N1HgZ!t4CE&2Z8@aSKr3fVbI@6`jo=I zm*l(PKBH9sN!(`@eh=K|K>sZCyuyD0J`Vam=mpRZKqo-|3VIRrZ=jbz{|-8-82_R0 zW#IqR)hh~rsPL4+A1OSo@W%?zDEx`SR~7!3!m~)_r=Zt_{#)TWh5w`Qb;ydkGF<%( zGz@w}9L*0!y@i9{lV$&`Qdq69MqzC>Q>+8!K=q&oaT^upftx_hpb4NB&_qxxXcDMR zTI~uu6kY&sr>?pbP6oaZ)D5}_GzByj)B}1GXd38Z&~(t7K{G&a0Tn>Kpi7j>TX8j0 zS8vO*r_R>(JHVZzt9L5wQ}`~0mnysr8gq5^a|$m9{&~<9LcgH!N`>!M*bmuzbafT3 z-mAQ>#?>#0H(%i|E4)VG`yg8YdOzq|&J>w#})fFg{y&Y2YnK>MjF41t2;oS zl6mx*PO)#n`0qkAUw5eF3yZG5;7>TR~qG+J>ty zNppw7uK*89@>N_7>FR!5?b6i)xY`Z+8t6gk|Ec(U6n-7ty`XOh?Nj(?S(eL(nPEk3gqEKL(uv{RH$X z=)XW`K|ck(2KsN%Ine)rUI!IH2KpIj81x1R>%JnszFW*zu}9Q!6@T z6gDc%D{O*Bv#us6YyqCAblPy$E?$Si3xGRy)rG6c(z!@@io&T1dmwugXd38Z&~$O% ztZ)YKTXa>xRWIlgp|>inS-O6^!r2Pnp>U4EcS5@l^e)h);#`KSxw`r}#lJ$=zX0x) zx_Y<5eueK*c$LEULSvq;ei2t!EAB7j>KgIhr*HxA`*n3Ku08--2>KP!b)XMQvItin z0$r~ZehpVQi2v&fmjM5Uu9hnNu)<{u{|{t0>gpp3mn;0J!W9ZXrtl`{{id#N#?^1> z>K0u6Ht1HNk1JfM@OKp6rtlNcSf#7gxVjzmNuf0ge;4=;U405yck1f*6s}eHX>bR0 z^%-2P)758jwI1~Qpu0ey18tDx4{&ui=<}eB;`|}5Hi7N|Z5HQ`aCI-}3!p9H{4uV! zg1!jaCeD{|wOv>DDcqs(%i!(=eMM*xS6|iD5U%bA?E*cZ8hB9rKLLJ7SAVK-5AfGP zdqLk2XCJQq4D>MQ&q0rf`xgrLEBs4v59sQz6h5l(|APA%=&ywySNKhZ2NnJeWKV#; z1v&)!ThNoBZ%cX@SAPe33iS7&BcOi(Jq`K}=%}>5i>qfq|0r}!;Xf&SR^j&`dk*x^ zpyxsV0y+-*KIjF|4?rhC{|b5$^lzY-K>rRp3HlGv%b@=Ry#o3n=#*0a5w1>yek^oG z;ZJ~H)zyFD>MZD|px4CtZ(N-N{SWAMaf-MyUHuGK!@7C{SJ;sjGu0fKs<}5U)&SRn z>OeVAJ*WZH2+D(+K+T{Dpcc?XP%CH>s14K(>Hu8;>I8LxCW9^nb%QPfO#w{>^?=?4 zng+TUG#&J2&pOtw=<1!g>eJP`aCND!E>k#H;m?74 zxnll;@RbVR4Q@Z^J)o;V?*+{R{i38-EBqye^TGXP&^4g;Y#TJ4(K+}C&XE$a5eDlpihFmx*PO)&_+rBP~j%vdqA5(e+0T$+%Mp23+Ru9wkrIh!fgt_1le|7-G{3k zpf7`Vg1!P81btP~A%*uV+y(9fy4sDauYn!}{R!wH(4T_#fW8jeE3I!R+z0$;pofM2 z99NI%>Ms=TSNNCU9svE7(4z|fufoR^{xxKegT4tm2>Kh)6QFN_4uSp_^d#uppu>vs zcM6{Z{(I07&_9UtG_Jm*tE0I3F6bH1KZ1^l`%em=1^yoBIiY`6_`Je@QFt7(?}J_d z{Qz_V^sk^7LH`DN3H0xvlc4_qy$t$K&?}%Hf=+>c1Ue1+G3X5FC!kkB{{=b=`YGr& z(0_x@f&K^dI;aRT(9b}_vgQqiI^Qbdh45k)R0XOA)qrY2b)X!mzJ{YsgThAOJg5oO z44MFH0Zjz8f+m65K<%Io&;_7QP#0)2=t598=pxV*&{R+l=uMz$%Hd*#(-pp1;S7au zQCNUpFX$4`TR}5HZv)M$sVcq$|IU%tI~Dc;ze`t_D!feLT!lZU@N$Je54|gN^$QBG z1b#QDU+6swuTuD4h4U2tqQa}8_e-GpLcffwYjpKKg$oqEU*WZoeLzVT`Xi2Z8?v^aSWzphKX)1w9G+Ht4Xl{!Zajz<;l+BMSck_-S2zN8wS0-v##> zUHzlNW5E9edKUCO+5f!4?*qR8`hiOD?+Skid`hu?r0_KGk3nY?NUkM zT>VVEVO+fd!YOnSA2%pwK~=TvkJSomfNMc@pd6?k)BtJ(*Bg+X3fl+x!1jB){2QK zW;4v@nAw;uFk3=tD*y*zjZNnsI;4e<;1=WXDKd1q~Ahw1u4`Uv|Jc=1%9>YA28NY`bfv-&gPo!d| zVHRP+T^lO~C?-~-pv15e2PJ`(Bq%AYq(RAGB@0RpD|t{XtQ0USf~^El#+C{wRjejq zo{U)yQq{4V0!jlbP0U(gYh$H@Sr@Y&r0N5vVrv>G1FQ@&Pscn1vk~MOV`YNb6l^oB z%t5gM7640}VuhIlwl%;8TehI=u$qZ^7TB|~nghxn;DD{Upypxah}j8jXMhW~=7U-Q zSct7fm|Zb1#=HdcQq0RRFNe}@SgpXk60ZNO?Hs7+XT zg7U)38x$8SA5c83d@=ihy&2$-tpHGgfFNuIV-5j36ss^$;aEk0iUdSqD;iV`U<+U? zPKgB-ht)RB+cC#u-T`?DSS4ak!kmnmk2wXi0COtlG|W3Or(@2*ybJSg%$b<8p!Pjj z?FF?DtNoyaSRKHejX4KWbFs<;br7pVpble|kNF7LM*+vMRRHQZpb%R{m`{LRj8zG! zlUS8vJ_Yt^tj>Tsi`6+$=drqg`6A{^n9DGiLy5~w_!gj%3Q(0e?JDMLIQ0hBH!iu}%y;3KD!@H#-3L_-sKHh(s0V*SY68`aRSV`;u-gFb*y;e)3HXMs@0fpp z-G$XpP~BMl0@VZfjjcbR{sMZj)d#8{s{v4hSPfww273fB3P6A{z&HTEp&x-?R~w-M zXyp6)5fM;y00Uc0P@(`afH*(`r%Ga$!YmD`GFZuCmcuL$sVsm3KoOt>PzI;~RB?$( zpe6&ItPLe}0J;D@oT3kEDpu1#82}6c(*ZL8MgU`g3BVL!1~3P( z0T%cuOWYm@Yimfg!O9l19p;&kItwrxTXQhmV|Kti7xLy|^8dVCG@=#q5W9GiHCx0hj|Z2SKaBfDk|^APlF5V~)Ta38_(lXg~~L3t%fC7U#xc z-iCQQ=6K9IFehM6gwjcXWB?zKf>Q;UQ^8KdYA2|4tTHg~!n_+&GXYtEJ%GJ9bswnx zSP3y706QCy1IPvB0S@AvLzoX^&c}QN@{VG4408eI!l?SltA53#;3p?f~v$ zs|wUTz%;F51a)dA}9mGTa! zy~q3k^GD2|pu}gu7r;vt7cFwfL1^oPH6|#fmJ7{Z&-Z?^#jla_zCF7slPz= z0DfcZ52(L@UTpPY?#DcUc@Xl3uo}iZf_W4(g1j-T#zEmvB8|Wg?~PFLkMGeyiC{$s z#lVUQN)#(GP~uogfRe;Y3bQoWG5}d@$$^pwu&||oSrKd{tdv2iV5JIb5@0g6)Ig~N zreI40vnJSDSZQO{0b3WK2hayh1xy1N;9Nsc(*ZL8MmWV7lnKBTU%yS^s9^e3&3z!FR1ULbl0WN^~fCYesfJFdTz+%7>z*4|6 zT+?#QZeXv#Y9(fO%&Q>P1F#yf2Cx>e4zM1u0k9FU3E&Cv!bf;x=7Q~m6%Vs7*nU`T z#_SJv09JvZf&jtT3c(zTISg|+<_IVe35Wtj17ZMM09ygEfH=T5z;-}9U6kMACb1LRE%sVlsW6r?53-fNwnV7RM@4>tm^FGY`p?1Dj)L^u#W>ARS#FyDjJ`+#adjTmF(3H*Hue_!L=H<;gIuESgp z`3-<~fcJn8fRBJrfX{$0xYSq7jhLG-H)C#r60KOZVQ$CV0jZs0yB{zB7z7LfhH=ga=25T_R%4jQ!N#9&9D%P7AE5$h01@&Nk0W$(#)t$~ zlH^Z+j>tm}3!s406frAdR>rIXd8$}V!sRtF>qF{Pz%-m=fY}i9bj&j#&j>4HT;2k+ zEoOVja{$c6`SU*9a{#%3JitM~A)J30b3WKdusVwQ7}y1XkxP~s$@6mUwMeExS9)H&Q@IjGBkD}V|>B|hRR=4+U*W4?j;CgxjE?l#~K zw(f$e0^GyaeNfd{)nKm0`~XrP0v=)OG3F<@C(j}E1@1{5sCqyH;2q#S-~-?z;1l38 zKI#kRub3M#H$h%ARxO}fv1$X=4(PyEC+2UMzhnLZd0n{uU%2f)u={b&0H{H%hH(BU z)(DrPNx*ePerkAx4vK*lQ-U@k4wi%jc|FO2lE>*R%nFzlF)LwK#;gM6RI!>we*OK3 z8rbSsY2Z{%%vzYWAx{S@T~K-eeZW+}G@NRH*%0jMSj_-s1TdB$XW9&uIZkKe9@>Cy zi(8tBQ)gkGjZ^HgcECIr%FV;d5wjC!XGnFy^)8fPj4T6dIZk&2wF0Y^IM)O0)!1Hx zTipb5PLvDZ5#5p4xB!v)e#AU^L@9vJR;TmLQMwF`EhZbe7s*>h%F;~v zb5J@Za<7a9-xP@vd^0f$%>t#<_!eR!G)t5&!nYKo)2vWBoo^+^pm9(-gU=CT(yUQB zlW#31%C|vcVl>-yF}^Jl6Q|jwi}US}m;`NRx&(hF5|gCON|)r%LSj<1+38aJ*+@*9 zHYZ&g8Woe_n~PCtY?Myrv&CpMGn7uyY|=#|-1n>>ev#Gm!s%8L!bZggao7`x{qMhMG=VZ zNOyL6#%f0*qQbgX0&1=zibRhSkE#&MmoCbxTS-AhqE&>B*d+p4K4P`gp&Y8F=!ii% zG3dsvDzY46)mc!BAPwn=Um~=~3dw>es5;_gh2qDFQ#Joos6azS;!vRkRHz6AafK-~ z9SJBW0TmvpVez2CB8lUKjwF=f-V>qfIja{SF=wd)DQBBfB^*VND>Y=a3)6|N#fDzNJN@(oSN|j9T6lTNUzWHLixOX^SO)xc|>C{2_Zw7 zKnI$H5&cZA3u1tWxf41tEJSi5H??0D$|w^o(W!7=;4;FPekMA~C~saxv}{C-Q7&^( zn#Mp=p#+D}xd<<@$P(8X2$$Hz7)D&tK}i~eLm-x@3zPt_BTLjn6$t8B#u(;`p+RvP z!v(599=L=s2K6)l;6_l(a>gK6d{7j+;Q=N5{-YaNO1Kd>#OUWr3^Je_eo$h|zq@f- zX`&k|7`=!qIVeJ7Y$3am_U~@gLKS2;Rx6picm8Qp^RCyOsJ`_>@wQFJ)!B5~y5oirDG3mj{hH4(V9y4#6Ot7!uM`1`#!ft3+22 zNFsi(Cvv5Mw|^a;L`62W&yRs_w(nb4-A#hLdQ-pq0yY9JnE3dL8!i1q0bT1^yZ5RQad z4Xp-EBKWo9WZ_3y>Ef)u6ar~AT`QnD>4V!qb=vgu0Pqc=h!xq562U6yhSN7xa_C4U zt!5I0Wqk00EJPmcNH`&s~rZiCbDNF*jyb&1__V&sk?zdJ#cv(aS39A)|+Xpg5(4#xTl&Qq;O2pn%V^3S< zL_yr37xGdkSPT?P2qRO+%Ttg6r936do;84?h$JU&rVa%?PUWYOeMG{O%u(S3h_tt} zTk>MYlAMv^{TdGezikgQOPYbEWU&~8WDFm1Tb~mw8X<{W z=#&LRH!yyXe?!Yerqt)4@;)aDJI0xU%7qHV9h2;6^LvUycR%|h_2Hs+&k)9WM zITqhR6Op&17fnRo`c^a%d3}3PKu<^)LAjoetkTUhjCb*QaLeW}G>PCWR4Fb;sNRE6 zd6DX#EX)y55qtL|g8Psm0&_vz0MoJ=on`Xv=!6IlZ4{6J>_aMYOPg4}p}Uj0Ds+|n zAjl#+`oD=A&B0_$NTWD&Wso@hE4xLMwP|o;WfF9z@FbeJPG*Dit2B(6=hHTjgRuSV z5O{brm1_^~&P16GtQc;2bmiEsQv{4q3e$dvG{xUJnj{?;=~2igVL|RK z_#z-37p0ea3&?(>52+Jl4-4P|2H9_v{gZ6gTL8``GDJ3vq}q}kX=I~pdNH_lyegV- zYgi<6V=e!6IumuH=sIv~h~sD?+&c%LiEux6J0in`XENv#6km|7@JsVAPCd+l(F0%G(O&u zcsKsP`a`Io^E-Dh5cL9Y;ZeCR4DlRA#I2!A)2w0jC8Q_LCRaR&CDUfWWEVD$CYMtRvTc1LM5DDkdstTqT@b)c2rVI9;JY&j2MA zkTnSz$Z>3j%3+f}FrfRtToll#n31!1EWKF1wc|PYq>(PTfi1WWTba$)% znL%=zUOA(Cd!W~m3_4U>|hsic2}OfdD_eLUl?ir=uEbx!{g{ zts<)0H=IqYh1uc5EqqAHDi@JsQM9LW44vM?6%i%4yO9i$DzoDlEX*_rq$H#}B2)n< zTudx?frYChQrvSo2ML^<1r+C8*c8KNQuEqBjzo41Imj_uwHpahlnSfhT=-pBa?j}Z z|GOqhlr`STp9b?a;VKL;Y!8IS4hm4?kAMC zXQ0Yl@E1XLH24@JTqsisJv;~tnDhZZRGT(CHCeel1HC5L5?_e&UFZ$LmV85$SE8x3 zE5h=W4jN)JbL@o*Oz^0^1*lCJTY7)y+-qMh;uPuST=QVhgvV+hKW(;~rju{LK z6PBsUgiazl1Y5Toq&Neji}Lfp zXZW9KVyC_RZ_|{yr&hU2h+gONYoM80SUwFYRUCjOE)zvE55`WXAueB(NP00j8?xN8 zNgqe#B>4=({hgd70~Zz@`3#ejByd7=@g#v8!*zR{yqTeio9Ns)G;tH18${m75;ugW zwxYtuL{ZX%!TB#zbCt03i;UzBzzhlnHC;N^zC)cwo{x3gsZn^fH7H*s$P@53ZR`zsE|g`A%+p(7$|R!9Su=mVB^*vV zKUb(gqauBwP(hTcp9fivkR|j$Dfo{F1(B8rwQ3JuYY7_^2o%5P;BNMS4}sDX%i&KY z+`B2l6b0GYxp24(F*{dC*390*q?F`>vkg#%Ytm?l+fqSP2((-f*S}KsxD#t9tWsbJ z2=_Teh;UUzWtX2uEJ5EmyT6z~aKdT~r*hmuql*RS3faeq}zg2SB=cSrpsqzLOw zMJktIsPRt2BDsPn!&%!Z;AzK1mONvUTq!)VXz{NYI}ZCCNQMJc5JQEVLDwY95S6Rk z-8mct!=x-D1Gj8e>MD03gTqFww1FOBgC2oCXF}wq!a6~i%b?!Qft4_m3a8iLgtHn1 z#OF*Ha5@FbH6S__{?x!SRoI|N#AofxMC|@LB0Z@u6TycYDZ*4G*n?!V>Yd27F)N2b z9m=$V^{SwT+O!YO{kTg@M{fIZM?94+IpXa|C`O313|4d_bcMB(94r_pSQUtH8SwN; z=&nL=JdnG4r3IVKQ9v>><$hNo+9D5kVTuJ?D2jS}gmqJi@)lGHOL(&1a26uel3dmS zBuXvJ6V}axeQs+xA*_R4~Sy3Vfs7o~_&o-C&+1xNRMhh{h3@=6VfC!WB0xX;}!<-Qru(3iGFk z$oW&fM{z_3r<{PhRc+C)9!p^8)~n|{~6HyF{K*-9nky!Vf@=?z4S zCu-{{XWX@q&P0Yea2ffP5U4kt+geNX{6vN++Jfe=xlyPviW=MOKQ{ms253PbET^N3 zFcVkdZiEKL&*!x?UF|~U^hW#gzN-W>&ZRiE_*IU=wq0DhrKJNx+|2Ki#wjg{i2mI$ zo!e4Npt4kLSdv?%{f!c>L|tX(RQTBB^MLZ?a>S&xh`bv_x)>ElsdK|QeADfFcJI8gq1 zP~Wl$k;BbSD<*FNWMM`f6i$`y>>m6B52liw{&_G}w7@WxJA#Ud<4)Ys8gixAKTbL& zqI8>;8mEGjwsh8vX*t6fPGnGOp)F$ptXtqQFE}jeuM=Sz;thJ0IT3FV1Z5m=kRIud z;IC+Q&P2Qc@12M@$O(I@U?S|0{z`@&9B;_$6vrF1FLNT^puWtBc!NlXCH<8QJ2>7T ztDN#wh&TI@YJu=y&ZZ1!pPdQ2NEV~Lmd!*JM9`L`NAZd%I8&@`r`P5I7=+|RHXT-s zK_LR?@*MCeRvPJUmGCqpsO?WVnH8LQIw#4gr5%<0*&5NpZTN$tx|0*-9>M;ig3xm2 zlA(Db2&+DZ6+RiSTl^7@%@YwjzW)_m*8g{fWz_E~16(sO_TPGo{h{A)8iO~+K1BGQVa1)^Qe zo^yRrp%2xcPA(=To01bH+eq;(InfmiM6NYhba-|O4KfIMWw;l>OD67&|Js${U6NG_ zw3QBfB58rnMG?5rE{hO5J6Qs_9YfnvN$_q0zXxg5LQ+mTH$`NPVe2}obMb_%&SfMb zt8*1_8Cg(tZt7D0bC*P}aA)BD07?FY{>Td`HPgK4RnQ;ui7?*Xu;|4*APDOv3F%?f zfA&oU-pb_0hm40XPZb!<96Z__pPUGfQj!zrLnDfCfA_7RX3>@5 zF&%8BOY9)z?)FL+OyfbL)1s3Trv;ND9E3k9V#&=S2%4opHaQVqpV8%#6O$9ygrn5n zyV*!Ha+JDE#{a`LWih9XL?8dB zo>x!;-V-sQLOExS`!WIr{r4V1@Ptb^)i@Oo9qj#Ll>fr0!duTvRWO4-@alz8V2@aX zF$9}QC!Yhf5%suz`wK(n)M5kbohe2M^<+OPa6cLTyEC8q+~YO@cYy!XnDy8!C`g3u}uGq1XW_ z^9c1{h2BW0VhwlqEa(QG?!fhJ5J8!xvcqk$?G}6e1ZHcTbec5cbIR|lVEX}M1!8)6cLHb?Nhe4uq=^bY)numO^Qy8=XU0(pdnL@j{cBVI5s zBx*@$6k5Z>2|Pq5@O)N4C;YvF{Ns3YQM9iwFTy!G2nDU+;Y1Y2Tfqx=<%J->sLk#n zfgz!2ONb*6&d(p=W86bvbi#OCsK^P0`21(qTrVHA$}7S@B+8M8$Ro%D5D${)hK2^A ziK1RXh-}%*XWnMy74bh0caQS5Ce!}iLoc7DVdT00&%>QUP;~JBJlrXS8|vd9;`cub z&x6^56ZC;|LlN_$BcnotS0K`MwIV9QDPlAtGy%V`SooC zGBq=2TUc6gkhP7&+<<0fs`ND@3MpGrBv01ZBO-;>A&5 zku}@e!rIc>3R!ckt*vcrOpy(A(FR&ZHc+Dt6hx4^mAp0)T%0g?zFr6}MIT#DEx4Sy zn?oZug+-wVWB1T1(Pik`9oRM^ZjXjpPT43P^RDqzaN0 z$Y`WOk{U^xBzcqMOHu$yAtV)$R00GpFzToZ#%hwj14+rTR8eLRmE@$QWJb5D zLymx?9Fk6vbdRJDBz2QSOaYQ7NtYyRk`|KWNm4jT2_)?Xg7bt=X>HXVA!J91#PNht zV()kYHsJ3lQGg9>gB&F;{ukYyD7IA>DuODgqk|Si@+bkxqoO3ql0>@nNY6?#+K~T| z{{8>{`#(1VeZ!g`{@)#z@!oql zBQr|Xz%#qR5y=z0_nz?^H-0y>Gti%$cI-j;$wK+b55K(X*B)GS)81&+!(Epg-I^W0 zYIllgK0x#4X;khH&~Q;dSifM&m{;O~6%AnvedT{jL>)2Iejsyn!NR4x9we=Ky2gEN zTc@Mk@6Uw~pItukIACyWIA})tLc?h%2Gid@|K6l($FDoee0QqnZAVL;froKuSI=h6 zcisNiR`_lmYFVIR7|x4I*|_0j_ObR`w_P4OuXipAo=kHJoIK;Xg8M3ys8)(g+qczfPs%9Sn-cB10=}2OKc3#OaWUPE>nkF%M&`lP4U?aq zn-qTMLYmQ;yYJKA-@94Ezf`#U*Kn)%m+s_8C$x_y+LpMs*GDy16pg!hvo2WhO!ptZ zJFWHSK{x-j=`xx*Z)QG9nsuUoDciJP*Yxo77u-36bD4opjlTM)H5S{lbpG^YCrp`*V{7&uFa6Q@eqcri4zr)pjj|H47b;S?li*{W0Q{fdT8r)O8 zx%TsRO68(J3NZ)eaiXTzo>!cr=eZ8A-R5pFl z`4xUkOKd;SQ)!HL*3!ah zcJpzbguP#g)8nLyWzEOGU3)5@G`mXD+@x!#N$vMy%l_0O$;&U!cw(A%e#Bt@p~hX> z9yQc!&o%C9}yT)z?R}eV?-Xv&zn? zrh})C=`J*tJT`63_A-teZB~4O$hOP9If3}yGs%eb!y%BG~d2LvbiV8 z;~UfR_Wr#c8BYXvR($#Tz+=bdO?RE%Zh6DaZ~43N^Q#9AlGCm^vgu);w#98cqcNg# zB(Q6W!f=e_s-N7C>-L@D{gVF^C)&;YK2!RK+WOy0wF_M@TAaIi+d4YuZ}gIVqCq~o z%_WHj)w{-n-}&u{9m-I>dLfCU$lkwXPU6jS`uM5YQ#M@b+7{e3`^ulk+KKyUhwBt$ zbT)m?F^iHDQFyT4be`Hn!|4r{2`2a7C--ToC@eiTvUU2)o4ds`4!Ln3HH4^58raMJ zYBj8MB06!)E2GC=jWq9GmAmOLeyfBmU0l*{1RmUC#oR*oX&sh*Qwd`z*m*Ng}i^)F=2Twjr zpYeBF^V$8%zxQ!IxvJQ6A~UZojo}T(i>Mvney*@S(Mj*(>-^&FjXK{7AFXM7J}qp~ z;MKzsNBj*Y=~u_C)ZXTnz!dz+*z*0>+vMO|+jgdMjxh%_%ny8`aN^s{76t@=e=T!P z?zXNCZL~#9)ARU%MuTptc4*K!!xMogj+n_L)UOaV|9s(1l&t$?r)eI{(143yYR_yJ zyR0{F^Y5#}G2b0BEzw-7vT0^xpA}4#)Z1^dmLxo{kmO4;*UjeXdTaHvuFbgaV(C{n zLYKXy*y$nA;nW&4OmEO!qmOLc?y2%a;cvgTp<{8c?`iYNKYfO7Pqz}uxa<1DXsxHx ztUY?nZ_DJL3|#twdcZXP(c}i_6rX7Z&^E zP&y^fE$2KxwECKqS;)5)mwP*keu$nr>YQnFZAiNPs0DAK37+k zyf76Jq>5Hfo!odchnX3#_jV}fu*b+t3*Y_^T^|O#CBuAQ-f)*XCYHLS*m~OKm7=e9 zsELW*k=$_U>TIsor|r%oM`DeS{cLRA&{Qmy^($6BsrX2~oNk;{&I3RF$AN35eFCl& zrF8!tv@r0yC9UqM=<{q#UCl@43C+$!KZYN;=?8LHBaXwf^fc~v%-YPa7)|cMKw6osCbq`}(ak!BzYZ^& zw0Mf1j%%Lz%wen0^r)(iz>!D$YGb#|iM#vi;k%w6J3p@)oH9vfYxJLGdas16=Xbll zp8P)8JUR9=rK$Drvo(oNVh9h_u;%*QSy`-?7u>p@tPZYMJFZ_8InZ;S{(iZhX`QyS zq-VZG-s<&l*P6ZlF}&;*tCB*E*U~Pdsw>}6`DXN>o93vKBUgHAbhTO0o6+-eJKtP? zALyy=rtw~8SZ%7z%P5UoXs4CJ!?pWFQuZBrHZE^sSNmRfv-*J}F}uw(*HPlvSWjtU>)sY;X5)h*% zaL{r)X4o>#V#=ObEiYGZqrUU5*l{eR_sXD>%f{M}OC3{2^}l80YyF&ZRWV`ei+SA# zUu-zMDSh#wTl#-@syBITHc5~ylobDXd(y_wiqtT*kd+#T;+8Hukr3$6H&3!MQu?}@ zt-OYvp@piYnxvf5y7M>f?-fMs^gaHSZy=}G;Ckb?_8gARxz1skgPg;=Ul$!(sI(}< z;(3L^*E>xwUo0Cc?|l4ZL~u7=MfTxGxu}(!+Pa$1$i=TBzN>kydSzs8cjgDL&uTQdX3oqy~lY}!BO?0mH*;>GxpagXVI6ORywHcYW(() z(ayx2&yBVv*Uiq^*SgKVnmgGj&ShVio!ykDmTmLZMhCQK*G%jGY!V&GIjY=KEs?U~ zsFLcLK+y)>n#L}^%li$*^Fs}m@7pVWNZusha>J*1eNE4_syny8iSmrHB;Ss$j}X^v zu1Wo>dd(tpXzPlTlZX5^w;glb>!u*DYtnW_cV^eybtj!fO%JDSI8kz4ZAzBOSq*8& zcWTopFD|+3i3r_KDIGdtf1`H|Gr7xbag&$h?$ZRvbhFZr8TY3J%|hirWAgl5sH*v~ z3re?p$sF=ym)qo4PM4`aLCBrseOj{WjhNwiAC8Rt?kCjEDw84(g?YqX_A-%o8w9@k0xyre~;W7*{L zYa@2UBPt0&PcC%|r@qmsuCvYbby)IlbyoASnmL}wI_4};y>fNX@f)SPwns|-NHh0l zfa&0%!uFXuIcKL+j(s|qlwcUJaVlF%Y;QER=X>14G)bxANxFEw)x@=m5k0kvkf|Y&dwP~sNGZd zbAHuG@V4q53U5|VFG={eaMF(lgRZM*tjHDwWj`+#T&!l(HY|=2HNCiN?;XmbthUD+ z89y9UjGD%_TB9SHAKFx9M?JbWcfZ?iv1mtNmFb4r=bdZKv(&%*jhEw7N2Ta-o#?TF z*^G5DIbLV`vN_7vHZZ2@nQ785J#}bp{a&KM>kNMC>t7b%rM_O(T=`(OdeYs2Dm{j( z*Mg~kpTFAX{PnQ6Xs~92w)zT6)176%=sGNO!T3S7!`+#ya$Lglf0`OJI+f-gVSUck zS{fUleD&wI(KUG`)tgmq zwz6lsU3hu!mZ!mnvm4GGE6n-*@_y3uKfnEkXVf>;r(TnfxBqi`dF#rPkJl=HG~KXU zsnlNdt5Z*|=moJiV`7Nq?H;)JG=QzwdZ9TQOqAfyLgA`wpGE`$n{2;i+%VCXu7hro~B{x%G9HMLX{* z*j4iFlu%afltSX^i%FYiipfip*i~I@ar0#q1Bgy zWHV&6spb9BZEmqkg0+*!RxLhZ+A*K68)hdJWi@y{&f&I%sGa)v_nCI~o1d}1k{Ji8;wx;#L_XhEc;fzM)jj$D z_Z;H?+_Q)OY*{;zv+36NL(A{I2|V0N^}11eU(wt4P}Tmm3;hl{Jy@r;;>EI8G->Uf z5uEjENf*!E^0@QD^MJI=`e^56+LKzYD2lwD|EcdvpGp0$l5RugilWgskHjuBMn2@} z_KU}>ET@=Nv&HN7H+t&$9*-wz$;+-%pI)9e>`_3cN8rC zKD10GaMJi3cfp8J?e54e?w9Per=YTtRSULI7L0g!?vA>y(ep_0@sf z?<>uD|KjX|zSf;(nRRKB&!)J(l#vr!1GxJ4{Wp|2kf_?OEiJ zvtvbn6sOr5r2Od>`E)P2P0qjOsea#TN$2)&hxqf}1qCfmOx{zs^ibw}x7)`OCtI^VW4r^{4usd49S%H%sn^4`x{=G=RG;Lw60>2M|Ads8+!;^HyV8GC7%jguF_xL25h1}gJux+O)0B|aPgBmu%b?M%2Nw^` zT){b+J@sYsdpRFtwpa3>WBIzzpX^{9T{m)jEYRW7EkB!;RpE^Rmk%kP@lojO852zN zrC&N~QMx+gZO|gWe5!+VXQt`zy18NOe3DgBZmvV1!}2fIR*P0c%tPW)3Syd=C(c-c}4rn@7t?f zw!^lhR@5vcA?J@=>JRCr>`3W6s4t&-1|wbM*Xda+?rhKBCu zPqZ_rmw)q%QL|ou)cA4ZrEivB348KWL3C7i#^{c`SH&T2(VI`Vcu7AQ)c>&QmQ=dS z>UH$)jf%PphpDIbYXxZqU+=GVpIP-o`}PjEMWIXfNg0epu5&WU*!h{dXnp3Wt&F5}6x>v1n-2L5A%tvof!c2WObMfyogY`99Hjh4UD^%RkBHDXu z)2DNt1yf2=iv&pB+;pJ!MA~V+-KZ!qD7aGOrnu~m>+aiC)WzJ-nzl|2dO6+{AKN34 zuUJ;^d`9=VgkjZL#odqp=9*{{o_~z`4-~v--P>_JEGcUbWhXQK>bTX-$pslwj0^X9N@;9e@d zVz4FhNlky~gPkX=#tbF75v*VP7QS&7Q;xP{E?;|K<(l3FbIj#7X&f@!x~9Oy=U}T# zM^(7P7lzks#euVKiZe9pTtC0g=s&1UN%ZS8vikWW>C5BSBVFmsZ=`MEe4-0>#_XSS zSn4h#cV;K!x!TiPAzucjE$*Ik-6A7cFKxD+b(^)}_n_MSk5}KhvoCgfMd7#m2~!G8 z2QG?cw?CG=b#JWtYwd$S>+&;x#y@>{#dzk2{Ej!?fsrn~i@rSA)puj6e((~T<|7p+ zYfBaUWA03fU3rSz7P%s1nGf~;sl+82lAX$WUBQ0l{OXk2CA1>tUz2K1X$S4>|K;&w zR%ePdLt^8xsOzp{3&qXsr7y1UrrQpVjqG=YpLUP0_tEbPnDOJZ!tGQ)tJJ6Wl~w9RugULO zbGeq%=NBz{`J+F!FrcB z+Fdkr;@p(tW!H%83|Rkd*ONnZ*%#OCpIx4PY5Ag0i=W+{cG@m(+oU5)TV(T_eq8_d zy8Y8f=cYTK!!GRVirL%yt7Em=t;8>?f(F)e`^6f|Lz}3VR%o0U-Ddw$*YUtD=7*aH zKUygNmiw`hvN=N_7dF(QbNJUCuPbs58>3uVwXWMWC^pB;!?i~iY@IuK%jR=~n(>QH zy-?_Q?RrV(ZO&*|yWRMVw{1%l4yG9DIprQm(_DGytDn&8?O%~s=7$bfUeo;)sQjf$ zNOWoK_dPOl*8i4;l%ja&-{be{IjX_>t|Q;fTknnMBKitmpi~!6Y4f%;z53_`&n=qN zP9w<`v4g{Bl1>+`nl!1&?%8WrtJ;mNo3`zpZXS8~{q!&CWi|CNX__MOzdIag)ajoJ zxzoS9ET1EBpPv7us%CIbN>JdKLh#O0>RTrDD>D~v2^b5N(EqFPFg_wAZ0&Z%^m$2d zC(Uen{g-!aripG|_;A4a+2M0mzLu?iVOcS{_Ryc`qmz!V?w4#`+;ioT;^qUK=c(f~ zrD^v%>sKpV%CtXymv1{oOX|(ew$(olFOxaACt%CQ)OY;GEC=Z=VHPr7D>ObSzC0?; z)&BB+!L}~3W__*qNi%ao#%9RQAiPAk42bd4?#VY1WzQO-5(h?gk3at`{d#r%-a`S@ z-xrqdSowR`t6BCRj3n}Iwh!F;ly8!ED``WO!{4Wkj~S(l#eD+wH&(}Azugt9J!GPw zZxd{AqHCeOhBDZ?C-%s-S{sl>I@7j_7 z;L1Mzxs2H_49`v|9I6WaI+lag3$c1wS ztg@A>o|iiAGbGj*Z}dv{o|EZvxgnEc_{uPjs**c& PxF!HI)*az*}S*07iazD2} zzJGds&zx_szKm<-_}!MvN$8`!>|QxK%`=MgW@Nrq^|Bjjx@RuyH@J6OR?Tf{-ahli z;pZh)yQbYWwtI2IV#n@>3d|#4lix@-Z8+&MRx_i&tAzUT&D=E-mufyF{B8cdf|KUr zDHn7l*mvm2W(NsP(+h`MJJzYpnd$MxT7d6)XzuthE0G=uG^nmS*quZ&fd_yI$rlkl5lL!$$LAe zNNer-wH*DxBLUaXqqdi}hEhwC2dXsZC1}ryleb}0XB;r)-hNEf6I0(ww(Z-uj@ol9 zL#1b9M|bT{v6XC$8(erm3pMFp|BUiX%@3Mu5 z8y=>p-(If7U7!`kG&{FyO~JUw7Y}qOW9zXS)0rFh-JL1%;FGUpdRFDJddZ$aO4go$ z&lb+|v?E?V-K$(8YIdYf_Wrz`y6Z>#-p|@?6`>>bXXt^+^>6Ak%ywzLiR7&F5m(vI zwpQltseYk9IlM3Sg^Y|zZ&nJ44Dnc;N1^#3-!2nUc}LT^Ye7W?`?`m>^^pJ%b!EL;`&allvj*6>(esX&Eua-pF~%*%MT;wE;I$FK$o%y>iEVjW$)YO0(HH(@R3){6#EtLwz*G zOV<~yzHoCob@A&-QMOw@W;zE@?CUB9T6a8Qj$h3VQ{R1S;koO@)TX5b*4 z%ha&eReY7qN|LQU^e({b^!~%^ZoDj}T6+*pO0$==rew<<9QymX_L_IatD4Euncp-P z^?kg0WusJE`*-E!YHv;N4faP>IS*DntMPu)uyyUnhks@2IWzvOKK4nIYNsu)vr$Io z34hq`d*l5hv8rG46nDI`jjEgTa>iNoe2Vyn+U~pgSJSQ!_$2Mpm&w+bid`+ry7TRE ze$v}x2d`?pn_bweJ~L+J_N!~Y^HsOBCA`1TRX=l^*7;-4#E$LUD=uNzdt**q`u(>x z<{s+Jwi@Z;>eZA*s(0B3Y<_HR8>a4{DF2PkdT#ksduVh|_4a#~b2Cy0Sf*}sX(z9I zY+tOsaNNGjHe%88Tm9~j+X@cUCM-JBePHbZr8CKzb>jUO3>Yzh}q0?;!eb^++?mY7f-zBME>6Ad>`Gag3pINWoYEwQS>{EhPA1o0+b_#skJvN z)Mhr^$t;()0r77L`{vrCB?wkd?N&L|@635)*Rrrod|@NJ2Ls<n&yoInA6 zf{xI4T5_eB&lNFMYPPVrF2DWFc$^j1yXRWqhaW=4Zbk2CD9O^%-;WKOP*dytqQvEW`CoS3? zn(33-$b*;X4&NwiU@wel6z*2wj{DjrL|u7+0068mVgNFc>J9=QpcDcPAzDW@|3 zZB@`vstK$$iq^u%T0%0vQ^f4VPeVq#;4l!$7H^Bki{$SS6ZYgg=+cr0|2c>FKTiYx z`#%5p5I;V|j}P(VL;Uyt0Dad$!}3Bhtn-P?m0GH>Wm3l}bdb=2$`pit-l!f-61>G-h=PUr5>+3Y zJj7RCc1xbnL-xTgrgarRv33t0G$c?@9K>U=aXPqL@8({qS~(wy+I~jMm> zR+-#Jrd{H*Oqkl}OAcliXfTyz5uJhBFoD~5L#>8`RhmFBt9&z-Ssvcmroa!3cIzJ` z&eRbdba1oNljb9SEf}SbaP=^^6hCb@#&c{(YXFWIPErt4!l7f4({Zk*xD+(C`Z|gd zw}8>Zu!?eAlB$3ad{{v&uHHA;7_VTkz&D-)){^bPsUQa`67I7qI5J?RLG3UL-u@Y~6Ke7bi9+PF z7?h-UN3aDvk$Q@J9J;t};EA?j7wip(s0`Iuo~|mn2(wv=z5IQ~QFxrl%6Rev7CG{6 zWPFvv;S$d8W|KwT^ahSAXv{YK6QQdH zR|)Nps$|65whpMZ?T+xh$a@_0t@g?jK#Mm?hggJ|jboB1l$)MjjG@BqKKsQPt-mI@zsc^IWgi;Q7w8O6z?p&qMJ%TXY8t2m;%R*o z8EFE9c#arUe(n^MQ~XY05E-yI$v4+!ZiW=4eJ-8JwN>kW@za&xDT^j;E*Dg^8Vm;Z z+qu1#3gG72uI8GENl3Qe4COCY!!IQIsF+xtMR)K7kr$k^db&7+`bo){H=+PJf$y{q zd7)7_hhU08pvyJxd;X86xcq;@T3;0)WkbPHZfvsxXon8D*B^X)Uo#~-lh$+CHiz=& z&#RL^7Z#LK7GRP5`-HelNypBEbCyHe;1nM8M{GyaWVZLwF!Xnrwxzb_VBJvMxU#~5Uesz2n6a!w@S zh?lNWXM?~#nmdf(ax_7Fp_~AvN!U!7yIV_}6|7-_I()(AZmMYG>CIdjhoNZejGvh%`|@6TQm{@f+K2WGZ7H z`yMg#U~V73G23|qU3tQg8vO0-^YB}*Xn zS$st)x1ALovfhnGIu$e+nJtz}h7p$F3FLXt-an0eZeQ_K#|9V~8p*s?7G*kpk^KEg zVun|j{!UZ(F-9R7F7h@voTw8GEdm;7XRTGVq8 zW1f#*2n*wrC)k)8$5QbGD;I5`l+o`sL8A)_%0Sc>_XYKH1FX0;T1OBd6mw3J>`os? zIw7Czb~oqf&9Wd3n z!f6`8rX%C$nI#^?F@A5)J7VPDn?{ zFs6AKrVgsSubA*Sjj^L7?s@Vr#kn1Z+W~(MvQ~}m_#`(eK3D3Ukt?z{6_Gw1?+N76rxt+F3@12p%X$n{V$(8<<;YXJ_3mGM_NJtl44wwXGG zm~5g8U5WuQ%O9eruMo=4MZa1MN@glVWHI8|A9HLHvSh z!l5nGjs2c=wJO~>n5WweqSqR-O@TUO4a3{$P_w+a#%h%Ua>cH#RhR@!5HX=~IwW6MvaO-KUNA~ieYlFih!v1T1_0QVc@~)BH7Jjrf^jmpt_f+{E*5_TkdC*x z0?_@TxYO(sJL^FQaA?L`T1`iUlIyRA2_10D0T4`Taw1&Wu3+eyQy;b=sBl=9_C#o7aCF!j$#CnJ_)Odf98Do|z$hXnI4$trZ| z-j5_q@3|_N)@rWx!-6*;3ey~bJTf4rqan@0hXMHFWnq#6X86PG>H#zOS>6DQ%hN#( zIY5x-K46M#^rWN1<+!o*eC5u+2BhzjYpj0LZ)$eB?6@2=hXsxpPjk9SJ6Zyz1YZf@ z7eEBR*x)e=bu$CX==*&oSQ&dgqwBOKs|%us%Rh6bh2|ssCO}sS zVXfhGCw_QGV_>qPWW_%nHbUcgT z;%uYUwa5ZY|74l@oN|wkP^zcR_qrPja3=d!6bfZX54W}^NEh}yj?se-q+?A3Fp!#v zGoKxa_A9wy#{n)mrE6RTs^l$Ch^*o29?S4V2_z$<1&PFsuG8?}&;TF{@W;biZbd{8 z-ZK$e6}36Qk1IS3*BhG+G88RLKrxv4nu_yCQ{WUS>b_KmI+Dg??}JQaF$EXY3Toxr zR4D9MdGmu&ks=w!8a??eDNM;G8w-K_-e|G<2jw@Zejlog_Qph&qyr``&0Lx$ zkHTlnDSS~^LfU;i^9Z;G+clH+k%=@Esq2?{dU*Sob|o_*OW>o0Q{;Jbxe)McRt^ZbPk zO6gU|!mP_R21%CE)v7@RwR)|UHdadm**HkBfUcbcI2Q>xy7KEHoOtPNjHH=bsLc-W zi5~Zj4bS@hEKJhl%{I zl9A>Us${LG)5-ocTiwcf$T9&jWFDjXWUV73kcZ8zN&y!Va@NwGDM|2nhGq4VzQ3ZT zU)Q_tS_$~Wc5taA`G%zZ**QQg$3tP7XT&!P=wZ0;9oA7c<;U%ytHJB#FUOBe06GmZ zd^r(RT*S&Lamo<1qIajox!GF#`GL&WMIxe*KdI}WZh zI3H(SC*!GU$szdw|5uuGL^EnO;_@6%hr;q>XX>(z7I z`C&M1Q+tcF0iQz;t}lP)&5nElniLS$8&&CX-u#Xr;5QI22l%$kf!<57+TS$;ch4%b zu`qlL4fg?_eO%?17|v%;N2pPHJfZakdO*2&_SF% zd7$zj6_IYm8R8BjUmt?oabQOz9*oj$G0J2eck?M04Z@aDf8_kU!i~!(W@|7+KfgzD z&BDOj-mSd5;`4V^>T^av58pe7K6yP-pk#cSu10E_P+X+#Bpu>!ncnt3x|)9W1~0$L z)Yju`76)YcL&WMUNLs&lfPXW+;ZGGIakA7zL+q9+Idy@JWHAzdeq#ZnXcJA;!?@Pu6E*7bXF&q|2Gh7nHt`hZkYU$DGLrt<2t5ow}R7eG`V}zKzv%HDoJa!Ty+p43$^T zI-vjo;=3N{8Iiq;Z#;Dg3sDq~1pUcMx8+q(Lmy~9^B@9v==hT)t6WtG8Oh}WXR!Z! z&b2Z5&ybF!Als{YDdlt>RgZ>vR z)yQ#|UcyD`Fmp$aq2oba&*6B6~-D zUrB7ZR4J ztxS~YEl#s_1NLq%f_U}LYg{#qq%U*b?*1|4Q!2y5hEBgQ^KS9VNCXf9>0QU5CIYv& z`2Qdnil??Cc`vSGtoR%fqx_e+0tf>D0P$}P%Kv`-zZ$Rl@7qBD-U9$H5@srHy-Hb8 zJ|xR?_k;gdJIRpaOE3G@4ult8-_w(i#P|8>OP2eEMG8Iay|4=2dnVN=(0gs2e;m~Z zR%;RM-coBN?r@WkgqLn8yqI1%ilClhmtvYIFjf&p|K5eyK$qOLvwtZI2Hrf!M||ZB zsCTKXqel70kzTkhJ1roFc5X_@lg>C4$!?X9i_hd+m`XTL;zEJ~gDp8u8JE$<$-LbH17aXi@)LWkzjS{A^~fK4Xv;QHGG8Za-aS8aZb*)ZS{;G1#`=JSB}M?muh|8aK0wK}%bN zAw7mNP%36%7DOjWINAt6uE8YFIiWCu=hTBn@J*5#5MzHiL79bQcV zw5&Z2#qA-zVF_>!8De7Gs6J~NEZXQiMdu*9W`GOFU9%+ttH+y&7c4wCOHox* zyEzocossiP?|l9jQ7)x!oP?!m^(?Mi^|T9%Yl!yKX(Z*;iUGCIGIA0`t|dR<8xJF+ z%>kYE`kw$+ok27MYI7wXGz!2Cs8;Q34M`|6D$DZuMPF)ye+;S_gT~l7hj=@+b=TsHh!3Wp0SHxVrIU-u; zt>;S&A=ih9m-D~lVLZk@oR_31w;XVgqeK8(f&ucSWZ^;eRed$5F(v1zNJyqFnkKGQ zH^|ftCf3?r^rBmE`x0e(da4pq5%%dm$_!_W-jS$@ym_>{e!iRxdy`D2ynOBW5K*?~ zZvH01sRGnU0iZd<3L4kqixXSnlg4F^pFsRW7ibnkYiOMIDD*0SbH76hXW%krU{{4H z{fAaSR5)!O2~ON?Zi=VAxm*`U3yZ<{MY;$W@b$0IAQKfq6NJKide%`K3j2JtME_KF z@p4r-YwB!A4^0*@2QX!mDcg}le5e@iGk08K;=I$4)m1@fEcBm`70hL?VLPza3V$Si zWUEA68}E{W{B=AdUD|PYDvwtdCXakS$Px^B=EIBGi)B2wY}I&TiM@gcZUI);z3y}= z!1fUp2^PX11V0FVQt*?4{~uDYeAXSgTP!$?)`w+0DntTl7SK96sHQ!BwNkTogXD#= zj{4@-KPt3VQGeU1mZpQ|l@u=cjPD7ufv^xov~!9KjOmc3&vf)z5h{XC(0ibTFsqvC zNofI(p%szePsN3Y6dRyj7awp|Cn>R;KcM90>+jTlcm1_M*i8W7DYvY7HKa(h=ZBv5g)z3$CYdn<7$!7rz#VTmdc?u6% zdnE+Hxeag(mNq63$LWhNVQf#{{lq+dR#(gO`ixf5IE_I%sSf>&*J_^VmU1mj2asDs2rvffWd z%;;tnFEn=>eRChT&@zC`^hX%9a&F@51!Ag=-e;M;kSKd;f&J+$tj&L0DxQaI?-ZK9 zp?Nm6QGuByHL4%XoL;DytMf}Wt_CCQSBgU=V&-O%Crvh&4T2VbKrfB5cy0)ZpT5bS zmSNpgHwcOhzroJwJaQ#Sn}vr7GwY8T1Q0VP&5P#zXU~a;LmG`9P+R*m+ElLb03uu8 zo*xN|vWSRYtLC1T#%rC{;5?tj7TrN<;s+P}QKz_n(c93TF{Y$iJmuGHzIDoBJ2k9| zi(sHXeIw71T!H3ov^i}edtiBnD4+z>UgFDWtn9jGrgtM}aB1p^eTA(v}eJ{F=2Kue)JRHXZNFZe<5gWx9xKPmWcPeHB8iPe^&HX&#SW`L8u z<5NQew2DYfrGF6cQKd6fF~!u39VSX&Zs|O1#~+{&ThFB-?TlmAc*GphGLQYZzYq^y zcfGrmN2va2>wsk6ts1mJ3jS!y&Kk^T0Jpb9kYM#{uo=SuUQC6FizYGhoR~_1n1+~S zqJysh0OatNP@wzV)Lqt?F=51=@o-=|tRC$-$NxI>tp z%zBy#OMP3>7}4KBrVFqKjOP3g01&9^OsnHB6ZY>^$jUA&G9m0jYwV2P@|z?o{%wA= zti%b%szf5h%-m4ULS4v&=E^0AB8Zs}#T}Q$U*TD28OT|zr~dd=SZJ1qCqc1W_z(b@ zwEX*{MSDzmuxnqIC?u4>vIK?NE#LpLBHq1cnjg(Cy|wV%oB9c~S@>^tBT)_I7gtoz z-aB@kkU@$`A(aQct??hV!0BBlo1Q#h7-4AT3CKJ=&QvYc8clq=s${>mq#289WiqFI zTmQM)p@;l;FZe<5gWx9x92$P>d+st*D%K;K?l64d0zQ(g90&R`GR9}iZq48@i6);M zEo>6#i7CQ0H?~42gZeeZliw6edO&u@9Q~qKHw7s=V*lQre^N9q*)E!U>L|>1>VOqBHXX4*Lau8VIIo2e1MH^uFF7Wg> zL*8af3PYmxY99ZmJBH)>@YK?7MV|6kKsn~tyrkp_ISof0%zqc6(!~Ts|9qwI(!sTB z!HsJWx9x^WrzQ$MScPXB%OGHgR%B{qfSv17_(O6L!ZtW;F*8Fh!ene6PAT6jn7#?n zGo~_I^nMM9&{a*guF54+fR(Xs)BOG4AA|Pr^3$2L$qiceW>qil)J|!fm@o3;^5nqy z(mW=oN_Xee7Ein|3U&P1zkV6kNM}~fFDEbn!IvjsfxOFj?g9YWu=O(V2zn9-QdZp zd{fc^nuq_TkiMVkO*}i5JZpCclHTjso7*9O_2?O7O3~jF- zLA<8hVVfoi@C0~30%jw`WUHZdPLziWX>~M|Xn)e)GsVS&D#RE?Q>Q4rete)LDOZLz z%M@sdz(?zBG3}LyeKgC+?Rm%Q&~D2o-Y}s=$f$oG#NVz6K`-foYuWqdxesA^!tGQvZAEFW@Z;?^vv{4fIsiEFlCm{8eRUq`SO_`jx z!?d}~a@|smT@$kPp&y?crN~wXP1iD5l`f^pUxf0 zDJ@(WQmZNnUNG6`8xxX{)TkgVwSFOV83SkLZyPQ2=r4eBfvqT7t9L5nWb(twqCL1` z5<~$kMiX?erlqvhRA6Z1+6KELp6kl0RI3wEbi-#W45P7A?M*UotGYzrGXV-mnmQ>s zB8jfKQ7aUraG}KTc-=+v(Og3i#TY^CGCGF+Kxyht;c1O0Xb0KwC`AmPgydu zZk@{ti5G5m!h+_X$Z@x90QqzgC&0BvcoWxGU+~O=F3@(e*=X68GE4Dot3tU1Ld}$( zIXUm+B}1F;R@q|k&3FGcy(PLl<2CM~WB6`P&}~xwAoxM>lY)OK$hS%oR0-yYQ#elC zl3e9TZbCKat|IO4 zxsXc(Vj=?@tp!u>(Wk$l6q*%cu0Ih=#%BE&_&`pOSq&@1|#)Bxn$ZbM*F2HDjI z%!#e6Ka)1E>!IFWMPwG*1^ z=pgxB^ZG>}#6B&1@Ui0sRc$@;jxi-UO)N#~ZI32cBeD3B{2#B$W6!v@7(Z+kksy(q zP==i28go7>Jd)Af=4d?n3NqF|Q6fgWR{9pR)(!Lx4=mJJP%T^;6s4K;0Le#a^>3NF zy@d}8F9@^?ylkyx!b)!CDzw=F=SkqIE}#c%;Cy40!t(625*scp)>w+wUyVR^x1&o7 zY8M3|+yL6ysI!Fka-&{iH=2MuiJv0igGjA@iE}rya5Ss_#iIR(04Hm9N3|A*k;syi zlVnqsd~T>mf&+-z87#~$X_~Gb_Tv=78LrI5@wb~wdp9QH!U*K zCaab(07x|vyQuFFIMQCHC@EI?;8Sh?t^euEvlN3W@STB%EM(=|M~2iR3bP9>G)h+O zdQ z&c9m3l9C)B0vG&MSY+dh(#g=!v!!zg$V($1lyr{nz|a&C!IRC{0u9lQogo>4Ayzwd z@~O8@B&0_;!C@`c1%33DQ zc-V^ovj9Q35&Z{2yMrG83LY0^$v33^o7h}6;sv6i5(^ZN?W6{=r!*ZHCaBHOq0s6>UbPeo|oEI2ewJ?M(H`jC;kC-=c{ekb?Y;TzI?n6-%?v{yX&?f*- zC^Gb0jlXMA_jaHvO}e|_9FxTj>-PI0)bSIyEF*hk7CRcfHy_YLkLone?o4z9kQuvt z-KH@BA35)`RtSP4$u|vhvZE#T8h6q>LF=j??e`>!;LalpRr`?WY zS}+VQ<`Fb z4n#ctTNb(#W)E{4xq2OkvEQ+EmO`Fgh@zI$x5k0`55aNvR|Iv$Y-4&i9KHogf&3oo zJx9%qjK%Ej>h6iwG~sMlZ*i;$T5ivp8uz3G?RX>6myBedf5f=SE!7C!Tw9vu=C57sWrxnl7EPR9oU{tk0rsR!t4L%>!@#3+Z& zpa|N~9MLBUg_Y_W*3(koYvz!@-=TS(pS+Sig9=x3ZIg({9>V=4)TnHIZW;gmo*?Mn zaZhjz_!*?A_h*HcmD-e)9+rN`?NwNQB`b!A%W_^qs|{4G;AL!Xs%eCA;}oEB3oaT5 z!-ywBm&*LU9e_f<6J<&cUm!nQ>~kazd_SE`HE<)};@`zSX^%1m&S#2jAK+^t&QbiC zMaE4ZEnHmb-xM5ghPN(|SSC6gPPZsHFaGhbmWDdJ6Q%8dQX1=5f|MRLtbrQ;ygluy z(f(ei#Exg<v zTd~$_^YXwg;J(b{IHhr{<`s2gjfc-fw^1quVy1$KH!R~B zk6BHE_+2GAe$p5alcHuhUMvirfS1=u)lyq?DSSAvL zPpRLBYywxL9?n@;Zo)Zy4se!3<@xHq4FBJChZKDUrOq$_GkhVr* z3D|LgDAqxO4QwS^&UqNe_ZnRZMz~J|Nbns#-g9Qu&^I`CXOvnWt+fr1sDBnR4lSf` zV}P1NNVzW*g^g|9Z+pA=s^7jTD!C4G1O)oLe%3%qV@(GtujFfB9q5=C+(cx)-5eg{^Gj@cjNNj5+m&5hs?3>^A#`$|a83OU!bTkj&%@Bh?MskB07 zq{s*|GqV0q}=uE6=$6u0Lh)OB`v$IMCiqUKLYe5EHBw+@}q8)Gq5S*s3(FKj7n_eI5XB?_uPNNGxflKd*) zmkxQS3bf)1ZX?6QO7648Rnc)7LaKd;uHe0L337w9P6T0dqW zz)=3}AVe6u0A|A|V&hKHv#^mG6ivWSJAh`ve*WY~ix3zyr^a<_#HNLQ>TdJPsDWJ> z-%=7Ym)p-_%Ce<29V^}ga+}E7$LPz#KNS#1-zZQWUn2pK?cLM>6dFT~9}^71D{YLc z(1zbuqWRqGwlawY+%vz^{&y0`){ZP%3;g3Ky$PTFG4*N}Uw%yq?k-cX1yt&-wC!jve0KVoZ$ey1 z7EztdeVA}J#nlQO$R9KBDdc|$dYhbX?G2bjk z@O@7~*3(9X0`s+q;u71*!kxi+g9a^H6YZz?bv?UDEcTldiZwPpu6JxEntpNL^*+cE z9tWTexFj;dh}euBW(KAMEJ+t6wrX}#|3(k<^Kq5~0Msa_=PqE(9Ghx<^vT@zDq>8IrnKOk->s?P zG>II?M3sOt0b`Mj`PquzbuJuS=y$&wuMilL)>63V~;zGFI%)ZdR zzqMzApCCi4iXekebxh8lxl`v=#aw?jM8p}6bfIOL+?F9uL!?;6maw9v3zfnEHyl`4 z@=5FpJ`JgkFFCOD_AEC`S*JnnV$76?$F7e*==Tqs<9QH;qU&&U;^;FtbrnMzfy`;u za+CpAF1xVAo7P(F0H@$N1ujuzMy_r{^6bm!hqh9qxojY8nO)c03VJJ+1&+w*T=wUpXq)%A z-E11D-+yK{`!xfA{A2JG9Gow@-mc$mDJ-L!mRyTEdi{W4n3~K)0;SdFjdGD8#En_*ruDBn&0jn!eb!zTndUK00nfiNO&=tDekyjqMHqIc0oI3`W{&imnSM7_wD@FC5Zhf0Qc*|+H!Dj@X0cFd!?$aSN$v&a3M(B zapKwUmG5<)J-Fqn%l$AeAOEgOS^qYnqPmZA1tq`*L;_xM&qnJ3sGJnOiczP@p$c`Zg=<5Vgb zRZ~PpQVDD2NyvsZc%oqYN~0m(cZ}gB)_QnZ?Kjd1Gt;Kru~qgItl`_*!&WsT zvY<(zW!eiP$3G6bvC8Z;y0tmI-ILxQ7Jr{Q``s@Hncdl3}F^nkW^cfO6+uEwrCynNTIoY zKDNqsc#(S#E*(a_5mIgo;?2+HKt$yrf!#E=#>k>(9@rl2w+)&q*c+CQ1V~;k+xLAU zNE%~fp@Mjgn1##tWCTlEfHT_Wrozp4>CnRQXj$~{s1%!;^)}Ze3z5#Wd=eR(!N(IU zQ`?NuDiArq3^l3W5F)IW%bayScz(K^BMpz6xw~`{^S$p^wH@Yoj3;7>3}Bo}UMRnE zR%Z-0DbAC)WeIU3{+2@UK?DGHPOwU75-Qyr%Vtvy#&nidhHzEM|o<0dK{yT+<2Mdiyu z0VS7S-fYPfpomOQk}oCb+XHl{!5GA4y+E)Om3Vxvzf3wwbCe6E_x6-&o0i{)^ATF- zheA7r)-5`bx=fwGM}-`=7}Iu5J?RR`fd0s}%7A&OBaSkv<{1i7%N(T>xPNH8AsM(U#N(44H-&Bp zD2FR%JSg`0wWZcD$p5Kn3%YFI(E4T<{er0%!uD7|a(+(6r!g3qjx4-kjk3|+^92B3 zC!0$R^(N&KvYR`&Q2;&a7~g!0-vok5FbjVY*o8@EUID9TAH=vB5%IPN%4<^CovAk{ zT~--47$}6ymEc>Pu#|#D@yK=r$4zNty74b~VQ+7x>QE_1Iw!&eCnaZ~eovXYt7r-e zHSj+Msr|VhqMS$x{IW=eDS48tQFesL3gDYk*Rah%5g9$`?yr6WL9ZZJBU!~SjRBpa zi6AeZJR(R`Oe2&;0G_zW1RfBoluu!3uhA#WLWIljb=VBYA8b?S&JLj}A@mdEodXwM zRz5NwdQ&V7t>h${>kAmy^^qd#1Uglp86=IQox>u+a!7iirzU32S_s-|k`WsjNl|_l zN_G4@f3zsb280yY-{O|OQCOU_f9d!r#S~;FJDfpSq}YC1D%obDERQ{+g(+{1Mt&#u zdxNP~UQZyp=EK*lB4FsBAf8hjqo z29WQc{$dBnPGTT=g^l!p;R`oy4=1lGAX>V(^O5OuA3E6A*#?dIg#n)2Qmv!Vx12+N4T)fH>bUU};1yr;Qz+ZudQa8s z-e;ULPk0L){t`FW1G%6V(wiMslwi^O3?$@@PS@O>u6cw_Njz(#gBN9(L@M~tSt)N3 zfRhlBDav|z>LUH9uTj(Dxx~d1eQKqHL!2zt1T+dQfrEJ)5hXr<;rBEk*)nw#X&l60T!K1p^t0rm zQ*mF6??-A4_sI0j7-5>~ebn`+Bl0BI!6Q^EScPchP_|N(J{Y5a1MCCpy=Azlx7>Y2 zGZ5ih0jF*^+)6GS%PRZM`+z?T#Pup4 zVOYfrB>?n~3nA?|Kn%3a$NrokjuKN+|A06?7odd&R)_71!8=6iNx(mrP!oj((mZcQ>DQh2&g zx*%;zU%o39L72@t+iozwP^=OvtY@7cCb!1)4q`qL+_Jw{eM#aZ18b{?>7AiL;fDjT zy-kDULS{o+?xD^@;p#s8B@n(40*Ty%LUraIV27`0a;p4SQ@&>u3@}TAQPrvCG$FW& z6aRtLGaKj21NYtR;>)O3xAs?h*3J#2tB(^1^RLOZ6M~Nrq&q|*I{Jdob_T^MYPze+ zrEb5K9gmcDZ_S&ELX3D+{nLe%7fZhxe`6G??(2N78vk5Y$Wo{-IO@Y_0PHP!d`$>k zbR^tV!_^8{xr5G8II*5dCiUk4McrD8NYwih4lavddge|@yt}S9L%;@Z96+><_PQc% z@@qngEl^x!r!PWW#GFP;Z6!CkxG-0q92>93)5RaNWE|`t}~V<$)y_!HUSZ^ z7n8$}B$QpI%*ahvH9rqPm#NS71@3q4FwCtKI z-jWDL1cq?U59(f4?!SfYfpuD$$o@?L|K+TfQ!S{?jR@YQ5b1-+C^H5|b@!*+gK{#O z^IX33we~|kKlxA)WE#IopePQr+grPbvJa%>FQXS0VZ;Q99iZ%d=?5bzG9aNbbuw3_BkX%GLAYQBZvrl^!d8PS6w!IaA9-vj~;#)YJS!^=cbF>H|=qAT-re7 zMUPqy!IbSu(o0mRg$R}9qIUo~+iEdlwLuJF@6s8rVHZ+K`%fHeNXG-o;v56K_2H;t z_zr6J4Aw&1=>4Q!56ev1y(er$(Os=Ul8Yuc^R5S%$_hHd%|Aa%ZYq=eo535FMn1i2 zbSc8nUV#$?xSTvyF6n|p@SOmKNQ)OBo z0=)?`A?1#e*r0@ALq%Pk{R#sZeg=R!WA>vyABKB>Y%ty`9{RXqm^+l|)4^or9^nut z54D`gR(H3fimQsM1~1HR9uYz#Aru8)cFZa;)7l7?YqBePkXT;;jjbA5<{KUTpSZ;E zweb~HE6JuD#ljN<-_yXpyc@VBzPbrMGmD^j9U!(2w=u=gyjNy!aq?s*OkEo9l7sP zfh#{J12$^niopEo6`&Irk$ONbE+SG8Me7Q0vJa7~;7E}9AoJRSJxIYvnK?iX_MII` z$yej5;x6Z8u3uTfK>kWZ7Cr@u%dgX4UxGvAb2W6sYj$hV8`{{W%!7;M6Mw%EBLDyZ z0S68Y){7Gyku{7%e?B8)VQuO_#As4+Sb{>l-ol;jI1Xb3O2x(!rZI>lmk@-_xbbX( zC$p~6h5`}ajpR)&hYc+sMm>U?d>Ur*hL#lQha0!$BP`QDMSrqrcrAniiym=OV4nC%4as5tzQU^c!{hUJu>8j za8z`NxF>=3rwsrA0T%-$NbW0xiTw9v38C=J+8=Bm`?UcD*EJ3-B-s6u z)yNAOEN5`lOUmpK%Bknpz612E?H~uhQhtoBeD`@SQdA~7EJ+KJ1g{_e5~&I0DC~Cc zb3Mr8C7Ji2ZC+K@A%qD7Gjs56(|MP=M@~$1CpWNiB$Ke)p*_(W_gK>Mh*Uoefxg)4 zxVQQA+HG+*4L0fY_$o0SvLvy?GNdf*Z6OOAd3OS7wr0&l8Ni;ZM$R9`LF-5C#oXh4 z%P{G86zicM1HwGhy;|ak)Yj&`6>^L{x}yx5BYYD8p6BHWyu{)DwX)A!P|S*`r(?z045<>V4f}%NE>g9~e8) zugqBWEQ#=}PukMWr;CpS_#?un~>rTXa%-eHhxzxP{ z7f@_+>O;pwDn(-l*(OHd`h8LTmf<7H&*cs5%+rtn1I_<9MBr5~a#z+8HW!xIg)mxM z#}^t~n%;>H9_ym{Dc`{8#%aA!(tUq>dkucSISV6lQZk|W#0_|lZ-zh*?FIg^ zES~F8F(di=iF-J1>IM5f{gg8BCzQ4Ag{m3NjE9e|{^#YZ`WrKgnflji19Bl49fnFe z%mniF= zb`aCC?-S%N`p_!_3r6p|XLl&r(kDWnDo_lgGVYn4#FRMa0eEz7NG{3;c9r&n(tU|_9p^gB>3?XVF4)sVj!#phqlJh3GKtM4nX|q0^+X4a8qq$pNr+4C=lcKzuT%J&fo-vjOYws8~0Yg5KygIX#d~5(24&h9XsE4=f!|Q+mz}L-g@PV$q~6LjP5r8Dl*pm4miqm z;cACUZc=6#m}XGTFP5+B0z&ysQ=^ z4KejFHh9XbypCN#&VM`vFtc(8d*+)LDUI*G3viFS14O19xDt5mET)oS7z9sDl4Fkz zhxVQZu&0-@n95ZJf(M~7&tlJXwhQMw52+EnNPZaUkh+ov1Hg!yi5xdF5|vB&V@)K9 zz47Y);NRgRB`hg;aj_mp1yk zE8A_A-;4eBh+cgoLiA-rX2?TYb_D~C1e^$;fW5s&E-Y=v7^_D*#6_rIx(cpNKZ45~W55j=Z z`5NsU0cC7H3j=z*GNSf@AAjp@h_3hv+)2R|=C%#V7_WLD0M_>B`DUcS|y_5uoe zR!}_e6X`Y1-Kg}9g+ur4v`f;wEarW{WALm5`@u|6YAcH7$p1@P5l~ZIiarZ4$U!&9 zAOmz2S|p6sXV-{?kf#g|m39Be^ULJ ziXx<$b2Bev)Y}lP;o`KtH-nkH1`ejw5T6=JJ5g*{15t@s>=aUt$hEn5byLAQnaOTl zgW$w{>Rt@UWb7>oDD2VGQwz&UU}+>CO$Q?Ylm))v%gcW+ME<7@Xs7^9EPWp^jd;Tf zD?bTX7m@YX>sNOW3IpQDH>J7l*tzeufQBsRZ z4)sibR#A*`Hxu$|O~iQsyb3Z$IlzKjsU|3J!ncg_&uS~)XHb@5Pbkju_BR$TRs@m|iV|^@Bp1uw`4H6J)SQqn#akZ>z}vw6 z!`Vu^vV>3(6^lXtR#l{5;n~xzhk?^u!z4i?9x4Pde-Oj{VA<4YlLWOLp*vpnY8FOs zcf1*or2-`_1Aa4rH^yddo|oz~jt)vJC%>}N~yq=idE?{^f4FKJl| z7y|+3c%#V}rSNKpc19Os`E+}m;OZ;mL<@Hyr$l0_rXZ>9ZNKnatVh;t@ZjCxz|JaK z+CzzbWYr|x3(RRfwj`T866?Q+X!RFg{9M2gUBOb@vXcqcb)of}*Ozeqm<XfTlTQJQB z%*5W|9ftykuoSTc*zDVzaop^N=b_{lOB|J*WRj@RK#@JBzak|Ab`)k(w|2Nq523=@ zK8SaJPdwk5EoDH4f*2owURx{(`QJF`L09Q;6~wYoKP|0{+M&o62i`b9XZ;qMz*bKk zY>&XFo(9o>yZ|Bvh@KH|Y4F>wkChh+GGsN2nSkCJ19h(W``ILI{1_ijqPlpvy)gKW zRd;b%#Vc=VJzTz@3dSa?J+)p{J#kSB9hX5Tqv6CmPjJDe6`_ggxn?L(8*ybO=LGbY z0)@cIT;}yu3k^%E8C^hPrBFUyML18XE(4a!z@>#&4mnk02PjP^fJ@k%txe!5-y4gt z_MO+tY$!B4c^uzr(pWu=E@us{(Fm&BfmN_G6`U4~S_Hd~KOZC^t23zOxolAu6Th?g z#17+}kQ-6ZvIf=zuA&8NRS^R{AlF7?N$xp;E3$I_M&S<3pQLQOiIr|J&F%zX1fC4= z4OK|^8E4=US(vzD>;GSk-#I5Ba)Qm|qPZhknnDKB749L5?yH(z&EiO%`iQentlIqtb7_<6edVjbKW(^{p z_&zxhah;JP12VMMOBotogG@s~Wkyha^M`GoIL!McIPEsTI;;oM7pjV~u(M|zl_6nE zcoh3r`P%M{Q5B5I*{2+o+$!RAun7aOv7y2c z`&TtHVeuaJBNnZnGT;!&aa1?$z=cD^%B~iyA3(fnH|Rvsrj_0UImefr4-~Wo06Jn0 zudYnuM3ov~>xZUx50Ov`$bD0FD&WuG?W|O7<%o6o7}fRDAtw|Aito{{;&+Di!z8Na z+mI`|3kip_67EGug^xU5q0i^ ze;*lz`v)e|W(tiHzwevyS4Q;F&1oQz&!eb+i(mvQnH)->u_${v1pOEs#~l0rJh%D9 zo5*Z%vTLoselX-Sl&`zn1senH=UpM*eACIKzxu^iv*oL!`r4tqQ z>zmg-qFbJ0AXbXceY2()&O=iYIb{?kvwFL)oSq8u=&eN{%6G}HfZPTl$AsRti==%V z!iE|w&a(xRxdIXc4E!rByP}~xM)G)^68~U0J?sVsOrnj|Y=hm@JF-Ou!ck6=r$9@B zShz;w3rM3=AW5pF*-^RypVv!Hq%`&~U9IIDM)4^~HD;DGg^u3!|4BLic9 zJwYp>4lN?szB-$j#%XWgVa?Hl8X!R_A5P9sB@L}YCuIw`SC;q9RM&$n^7@H=yIw;J zj5}{lcTvptcNY0hJ|*?ugOqEWy>mX|c>~$QX^5aa*Gjt0hpt4Nju`_-qZQ%OiD^BZ-zs+hlMDA&n)eUt3aNR=imebLZ17hCyilI{DZZekg9h+VhM$nd zLd6wYfa}N*%g>0Q0mDEIItqhxY_hplxKds{oUH??3I_)R&CN2KSmtQvqgZ0qr$S8D zzjB5ahg&B`jj9{5Fgu|yZcGWr-^4(S-%@^o*Bkwy7c0DL&JRUg{eq2mOiT<9x!;ECb}bRN+9#Gx5MgiJviw-`h|v_pLuLnNHAo7o^Pz za0SdXEzrjVneGO#F;}*>VZFoIpi~A7)naHnj`a>{sw5DT^s-o3|6g%oEl4Jyw$_yC zRJDqEkyiQ)Vdw)uqa_2(_OCHq_0-c)!&jXAvs}&W0N*mtH!N$$z8m2cwe%DI0T+ze zN}*Cah)N(q1wk6i?>=u1VPz%g4LK6uG3W)ABc17LgpU(si--6G-KT{Da(`h#GUnP% zdcfB~3t}7t_k>%j3PeJO2)Mr1T@xpv9^|hKHLRPha9+ysNRSW+EVsB0A5*(R#Y4N& z4FZ1kVOI;A{;2Q%Z7hZTE^<}^5rjVv;etp9s>Hs_i4revJ=lC`-4*Wtw26b!zP8^ZCtw?aZ4^ebX zrmDU;Racv;ivOgTDf9b!4FazU^cwaIXW@!(m;Yk@^4W*InzR6;8AYCtry?JgLK;}G z{y?)A(3ZQ7EYnrsrc7kd3hun04*$buBv>%`palZGVOsG1BQsI(XOt{5nQAs_P(ZE1 zbSC30U2Q26%UPIl=n2En-c13poJ-evovFsf{(3 zAIBpR^cHw@u&M-vTSFRw#54!1gsk)yMxvRmwWlRS$v^D^{Y8~y; zT#Z7lrkav(CR73ikpmDhAObg5Nf!X$sX4*Nve%A5UKmeHP~WAn4yRa>o+p4IRwxqZ zf}0#K-e8=-yk{DmAVCn3`7wnn(aQD4dGV;!sv-gtk?4gtcbYz5($n^Ds5!>ng+IcA z=+Z>*rUF}g@)j6~jqzydFpl9(5wub)&F=_q2)eq!Pv0?SX6r%?rpqt@Bjwke3|qeMz?a&3TGf$0DmLT_Q^d zp15oS0sy4VYZ|00Zw}C$%dhItXr7fX9W@&rp(&QsAF)dR2*mNQ?lzGL@OE-ZoF zDjF!}tsx$q^&sUKL@Nz`Be@qR{`&H(2l0 z?U3pN0+5Ip$E8jaM6=0wC)0vXr>DY*z-yI^Z$6n7h!fwD6xdz8a|^j6q?JqP3z^mU z(7Vp>VMm#~o9m&9kY*R39s({_m%CAO*x+q>56m{otQ$w0d(ujUJJa8WWF^SaXyD1lc_|sV>w8?hhTN}h{wbvL$f~utOPr`hbG5X5pxDjq# zoZ@pM0_!`mdy*_IwW8ARGZx;fYWpz8fcig^C0cNle+oX~!K~B>N zmxP!!{5U3}3kBx*~j7eCI)x0+2 z?Kd*OEnb8PBdzVfD|TDQ3IYsYZpPFhkU~bE$B_{1`7@^r|HK%B;E%#Mifk=5NCgw~ z=I2~sp5}i!OU>=45oJ+_=Ekl-vZ)OBVu&sdE{r?CDX#0oK5ws&&Kik+{{3 z5BRL4y}L^X4kit7o3we5cIOxwgG8c{b6z`#ynZG{_3G``NdnYO6{QCP*w>)?UHA>e z!@Eb&en_KyiK{ka|JC3X4adPza&I6bCiqeJR=<+RMZqf&3rK+s5Eu`$q~WmamIShh zD=0T20>I_R3g*S36yvdzG@Z99DUi$~#v!FbrG)%~e86!WFSt0s$?Dz8Y?yW~$57|e zMLw}t#{q|@LcxGD;5w`wECL)aOTeSv+Z?@d(UBfdMAt9OCU1)cXT}h|1_Q&;tqR;^ zXC#Z`;oG|qN}*=fh($p{o9_nA+>&(o#ZudC$SMMze1qx&sNK3rBk6w3T#6rR*z=qf zLY7~nbmNl?((T#^L>WtyL^Dc?VR z_r)a2aY*!>>tK&SQJ>L*_*T;HGSr6&Q@hUu!CCWNnjylKBJ>{uc%QeBZLfFCK3Q4F zkI3o?0?^=Udlh%QoK8~t4j5ID6+VJ_AJsen)?#9VgqU*L0#kz59n|{$86UewbIA`U z$EH3!jimSsx8KmJTW@fR4FX8ga0UfoSgkF6?`m6|uEG6EU53O3|~k_BZM zcm=#qr53G-s@diKz(rY2OlEn^FH^5+5RsYErW^wA^?Q?%uDFWM^QRL%9aO+KZR*fF z>skr_Q;zi|9XT!*~4db4+ELUzosBx3&X(H4G#l ziL*l^h^zDX#-~F37~kof69T144Nc6-bRFk6xi44a;0N+Ar$@`mgx56SWu(FnpBp4# zafv-UO_*%r^F4{5(HVDS!vpp22}#_`SdW+MVj}_?hD&$2MUl88o~BuWGkOenn|?`@ z)y!;euurTfLQE(I{eFx=B8i_K_DWFq{oP8Sxy~aXnGNMc5EwVY7HcX3k%nGKJn*ZN zQRGwzJXXp0RpgmNM6qGTmrb$i2Hfo@-h;F|1R2sqzV+=;Fz%?kHTlLWxG6HYuF|}o zaG;AL0!^Yk)6@c*(MAj+M5;Wc-$BQVC zej2{zb@>!CkP#jxMng9OW}i?JIdYa8wCM*xC4m2U zCs;Ha0ve+7pMAD>+t#sl8`z7LrA5A{ft;JM>o$qIG1Dp5e0Etq$mr zOYam|johp|4U&lwuE4Eprp?>6QTP1)g9}^FcMt-t`n1q4RIW>D%CN?9V4`cRE-!Je zheNIkb$+1J5l|m0%X0|tE5PCWoJ08^Z($cb@(Bd4s5T+{V9%O(Rzf2JYfII12pbPa zlqiYyc}YII1i5Lg8cH(1D%u zc*9jL0^~ib&v>PX2-2G-K{wMu0|GEP_C;rA&lia0gOha-KYj!I$DbuT8AvKl=0jE(B?N_1 z)I>y>x@uu{x(YL8_^E2baO8H}LwVFEwor{m(g^|;5d?8}J1KyF{0y=bTHs8X^Tpff zyOm-)*m>-3y$A=j0jAISK>S1|pIuRZ>gjUGtHm#kFfoYCqR}Sfi!K8K2>!(;gg@Uc z!o+)V1Jb7B66W5XPnqdYFn#B+{{3(OxX$|`HNQAkSYQ<<73fGHmxcH?}1z5(`tHV@=#_3 zs^!pB=nT~!q){GSw~bVU(Eq~pCY@VpBR{BqyPld)JGKuD$P%9jut@;|({&+h-Pp(C zNw{XcX!`W}O}kv?7j~Rv2AO!|X&#{-@tt@|Y8w8lGn^2oudCI8x2n0h`b#h0!jh}F9MDx(E}E7eiJyM;WNVC#A0Bxj zZI8O_V55&pfalFc;gLkPeey)ZkYb&K^!<_4Wherr4%n9JHXKPWAs%6x zI(@B!>)}}BP#GM9n{}Gnk0dSpcEhMvOS{*fWwm&N4BKG4b{R!w-7@MRf z5t`2j0&OqeyW*_?#>}gp%v2+Az9}XU>Dwjyf}P2H9eNr~CH1~2UX~ z4*tXIog(Ru6+tu!P4nf^a682=O0h}2a)!k-&nE)!Q$z8Txa8&6b7!I4t-&2XJ%G_g z{*Hm+GTcFK`?V|E^i)As!#~VKR3%PcqaC^0$YxMhPdA~=WBnbZ8q5X)M|oN(Cvq3f zcBH)aSGV34SizkeM~`8Vqs?=rs7I|XReIhAfFZ0W%_-W;Jx9JVr{f!p^VJ0OiaVkYSlQ8TRM* zLv6~DVj}%6EfWCW&JAMVKJZJ4&0}bUtG1Olbket~++xz38~cJ{2YDU>Uk0GS=%J=I z$T7iOpmcBcsA+-uRWuu{D9|7>0ZMTVu=8L!W8B&}`fiY1IpVR(^BlI6iiW1-jQjan zo)u{T_$#IL>R)Fa0Y5sl!=yAKTqO zi68!dOP8rl%96lfoS2r7v$2Nq9>YyA^;3wwq9yk*?WUsaN#{`$L}Vky6;&V(qpy5Nt3=m&sEH#XmlDgs*|XG&9*6PK|14~E@!-XJYnx8eGgL+!WFZnURb3?*6| zl}MUkT`|F7JK8wz6qF4c7G90%V(&ImSh?aHN(%xh+99w4v1_mtrdBsXFRALUp(NkH zqky`vPQh#t+0Y86lI3pJ_uzYyx&F2qGr}{Sc6bM;Lds zPGuoBdHSdzoGz@^%|9vkGqGSRLmlA>>Lky3vAxMlCTc>uW)Jyr8=q{V$z=Ig?&3XH zOUAPy0ug90yzvrfuY$Xm*{f>^Jn@<3R1=^KEfF*TnP^X+6&fjuLXP3-R{~@PUz^VHeLmhmg%-Q(}g*y+1X#JVMoF!Roncb>JKqVk&9l{EAXze|S zVBpUN0+KD+(Dv}DwTVS$In2FJcOgmwB#UD_;H!kupmTM54uSOxM%%*!1X&Jp%swPY zkUyU3BBU}+CF4nzbWQ@+76NCB3UiV!W)cC?7Apb$wp>yb>SvMOG%st2@DipXJ5UmX? z)N;xj0>Vy~)*9`=xgpTWmu$Tz8RY9clUJ$UHrE?(yJOM*9~Zt!RIDVK68~*&aunq* zsOA;g7tyAY5e^DUVVgr-UMioPE|2Ai^!`)w$ohaiA&7NLe+cK| zKGmSZV2zm<>zSkNJH~c2X~r_*mn`pVgh=w3 zj`95~0yqHCsOzaM$hr!9arzMKJcXS%6EoymnR0%tlj0*i5oU z*YlNwqPSS|Xf+GlLL|wA4Fbs`VL^yj2#cn)C<^rv+&;^If~DdXeG7$J!pz)((-kHW zL_UK;>o%cZrIZWUe^*lw4=YBV=S0|5D|MC3yD9>iJ#07=&7T+JkK5_A?8!meH)>OW ziCsofF}5A?@(ltXn62(>P9ibl+Ag+o<+F+lYcc`%pu-yK{oA{Us53m@o%?7P~l%wE@Oa?Q#}$sb}tzMHIVfw1GTW} zecsHnIa4vnpNE4LvrCZAFZ(VrOS?J>w0-Vj-+ZwjJyUv5{`#NHjYIiva}j+93^ zDIFIc0=X=G9i+Up?(x3goDZgbEtp0H(6l82K0V)Px|^#BF3DwmdeiHxVj)|LurY3F zo&SbAFWdae#$LfI_dmC+CIS&yXMa0m(0AY4L>W9T$L|#>i)Tit=Vsc9JB%n&KNbvB1FytQj4RwnZ-jn;Ij99whNE zzv9e^;qCQ#^dq}ELdwv!_>i7aU5z!r#ERQqi1Xn@EAQfpR zDTY4=0%4w(V5uKV*lgVUc(t@5gm7CnviR4E3{*N2!@C*@H z2BF$^)rWGG_L>0u&XcOup`+9Z!388=Xs(Cyasx+IjHPQUW*=7Ndu0j&3qsz2i^l@C zouY_v$NXIW6RLF~H1aOJmv`o``;vc7g_&g!pBoKzdL&Glu3x;R8G}vHJ z4U?#qkYYCe_>o*$psifDMv?TpKaLL|4y!I^QE5o=7e?!KWBT`zT3W~1f{P!ow#;#K z<506B0z=kZ2h~FQt4YX=>P;cK`-)B|MYeDlho6WqfIY!(9Gne4cmL=9Gb*ol{_M7=u*qLP>L zQqf3|ewDf%-An>|(8{4~0C@oE5+vzO@D(bvY;FTbwjj9oP>RRZR<#iV83s}H3_8C{ zUa7-_TO5;D3?Tn{h;S#@a<(4OQxf+gBp`pZT{ojwm~J906$`zxBy^&RO?+9tKPLAh z+U3D50^mFasdj<@C|Q7%=9w^OQE6)dK*w=G{j# zKx0G5rdKFpi&v3Q9nzu&9Rf+$r#=oJsgFHouTlcIc_C9yAv^DtkvTbXYPJNO4jf%J zg39{QdW?NJw-VIae$tc2t62vvWp?_J|GWfaT2}=P z?J2ls(Pv54U;Ghiw-2;tHw4Rge_!B0HC_&*`rWF+X=8Pvub*_w!nz;=*)X~63t?Da z!SH#sL7j#J4yWLVVdH#B-_66Iuj-r#;)awM!tQl-%FTf+a*m}Y4w~Auo8IQ6M_Il3 z{lJeW0w&E~B>D?05EX5EuYH$eAUYDyc?^GA7ArQP95)Z&1N>=p>a5|2Y`)&3tc%=8 znt+gv!o$dcR>GBrMk!{^6#~`UAG!UTNge;WK+0k$fmpgpKlzBBD|7;Gfq83Wcp0W& z4>&LNG%k8S{ES2++&QQCYnNA>VcNExKs`nPZx90fQ1@9SnZvzkMNHLFVcu(LRVo~t z-;Mfyz<^LA>kJ@RbMKbU@d}C3D@^`RMY4B6Ol@DwvMtRj3D+ld>BS=g``Ip>+>-MV zIAr1?BncVU{2ps7AOEnfsrI?}!4J^~wQ|@qY18yC`gG9s$qN4uxRja5w%$G!BZ6O5 zOTAkW3Z!&;USemjEGLK~>Ut31o;Oy}g9-_qsW)(77TO|K4J&RGr?`1`tI<-i+WYbGh1dghE*l8}PYO*+V<@i6qdcs9u4{E_CJ@ z&q4@3T93Kfg^Z6<1t0jMO%1AW!wM>^U|eQk6GS_azH=ut15@?K6qph+xQ}FJ!}cN@ z7>)jO_hOBu4JQ)M3qiL6_2ZlA9FS9C1!1dO;eUn`@1CMgszE(VD*?(UTPX10pfH2< zg|E!=FI(-d=>(3?+JmzZnDrRB7QhHJKOe4=Unq`D_+TA9slNUHh{Dn|Gv~J9=K3}v z04!s1XxM{|{foy0IaVWlCgHW9i(MO(1KAo!QJn!)9iOw#&^R|iUjKTLS4by(El0oZ|M#)3p;>~B9*emdnN%-42ZoJA^82~FbJfLV9YJBevM377{U{G zL!Y@A&n8cIcsm<1`+0Fg+h$Aj#aR6i8OsLCD=PXUkC?ZeQUHzEH(`L||4?VDXT*FP z)*XDWY#fZG&w3c+yjZ(52OcvkZUszigCLdm&bJQc6ogGbC%@-+z zA8Ka9_t7Y@LIt!(&oE5^_bxqfCj0N!>;pvkf-CM&i4*hv6mlhQb5#sZ24g?Y&;)dq z{oMz;6GbK+FD?kt)ssSRv}_sF*dncLAH7n}=AJ255LPOv%BZm6H!r@Rn#H}0uy7fP z00QTiH&)df?$uDm20}LF1O61zrW*os|E4gONOsCFllsz?-uCIM&viD zIN=3?rFSKIDT5!ztRDKJehN33KDc!~%7pi46^Ce#7NQ~$Lj}-U5Fe{+IF?}srF={aJam>8j@Y^ZA>BCi;ah!`QYe@{O z5|BBFs+`X}{d>q0iz!wZpYsidZOkAvtw|h_F=To|^>`;dJ}?bbq>K&^T8Rj*gdQKU zX_m-CepPFhq@{399JqTTbkyh4-%l zF9|@1HgC@zc(4%%qez&wa>%PwJ$_u8DMa0XQ-kF65ID3d>R4vj+AMAkW`kXL4FCv3 zBQ^+t_FNR~iFJq|;=QQ+c`T};YeTFHZX3JuKzS9bnBRj+LtOLjiCA~%QvL~Rw_~>! z-4E0WUinnWZ|$38Zft0l#OX~2&xHlTx&1llSa~dkk3mEd#=CJKmt!e0FqGzJD`q1i z^_iUMowkp+{oDR7;U(K4G&32>Ei(ZQ}Zgy3{we1H-g|2)3)>hkJf122_a z^O&-Bvy5XGkBVQOr!wnhGmbztMERI{VZ#Al!Ch_ToA{JRu%0Xm$HW{e6v3wQO=kD7Y64`@t|;);I!ff|~OZ}#|}2BY)a zXy*+DIkwhV+MT0xCeBPnPcIoXX>?#OUCN@*j2{eCz~KcFbuK4zHz2VXFmbdKAvb$4 zBb0GUjE{T4y*wEKMumZ^n3v)%eqUMc3gg~H)rMfvq&-IeMY_4lTBuTLu;69<@^|O2 z1N+R)7lPFtcI!CFY6%%Vk7Y6M^)w3I9fF4@es8ls3F$vIDf9E}q4ZXTov6$%RlsJr zt}Lj(R3A52%Dn>RihUmmD&PN^ft<;-c9IxdYNq7nbtvv&@K2X>75X;Zl^3?34GO%E zSeF63pwbR*OhJ@ZlgPZ7bduti-@C-7koIYARuMziV1`bLf~?K zAbkhs?fbM5L$7UDOD!Vs8+^f5TmX|v%rMUk4qt3P(2?LN3^53lE_RNwVkA3u)(2uS zy8yVvO`+weh@Z&YDS_W16Z3E!#-i!NQalP_H6}F#fDnRe#9n%^ub7&O&1&g&$V_Ar za8)Deyf;$4hpQV+g#lBIUbveuEQB^cxfh)?(w4L&NPLV%>}4-)_IC!6vH~+RbT_;z z$=!nT?mLwy$Y8ZA)HmgOY@Y`el_>zqM-BXECIE|@C!GWK9J&n~QTL8ymB4=Zo64Md zL_3#YnjQ+@kEkUQ(S8U8rlsvo(4E`O^+!DcyyjEuxCx!wpI##;sDB|i98I24WpEYaXby27p1fqpxbnL`Jl`CV}MMHqh-6#t|wGzE(^AUy<>m71EXrd+HPt? zszaM&;$Udl9l_?vD+X_fZ+?@wq0qT#6E6kdzjdjh$MK%|75rCaao|Caurj+(#`at7 z*XTsd1DjMgskrmvkswbat-Xy@VBw!MH{k!bxE}u~YerPgER6*^7S&9<`C?V`%rK3- zRu1=QUW0JOyuhw=TQ;P<8UVRapFCx}$S}U2As#CFs%D#GDuP3R>Izk=e$>QK7o=!| zAGc^aw}A%XQMT;Y)*8Ie@FdIxIt_rmHg-&^Ckk5~+X_-SmkPj0?hr`Bt~0cbwbavZ z?tvgZ>I65Fu^5i8zZx#^pGt4)m1lkfrmK}l!nwTLwQL8@9!3aXi6IGbrBY|jZKrNC z&W(0$w4bY>`K$N;-H-WhNk_iBT@Xy|xv7lXhmUJeFwLD}2vl89U#ndeDlyv8(QN!# z92oO`>33izo+B$8>Ov1-=KsWVNsq-to|yjKk7&?6Fd{d+MZLRQ+lgJyJ)u`qtkzJ)x^4wOVeUVVJud^o`cIWs zmGOL~y`ChEaYX?jR#~VmC#p*~+$tQ#{T`2k9tpc(wOzUHt%)L75UIF`^F!E8qT?C} zcN0B9oGT?tvz(};6ke36z2TV*IENC$_rlVVLpyNUddNejR|g7;Bdylhgb+HMY(&v# zq(8W@LRLvn*AM{0Oo}K%6EYuo=UwIwtuH;f;nE=k znwvK`r3&J+ou|#V6!>>yaX91s=LeD_FC4PY zqZtyUOlD0MI**Fv*}kE?3}4^z=4dEwM1q_J56bag=p!{Ugk8D|D-g{t6X2CImdvbP zw`CV~s1d|r!jUM&navwiz&ZMo))Fu14||Si@Ke|-9%cZFCARpRw-2yRBwDfKA&8;m zHL9BuW@%}NgHM3U2q6plHOU(&>Y`e=4wDr-nLi&27|jp$Ct!ZJ{<_Lvq~R|B009gF z3oxM5k+#0wYTm!*?3Fs^;dYGlevK@nrpX)j{lHotruBOmBUMtT1V>SDW3xNlNfp7A zL|``Tj}e+txb-0&0uoIFq9$4jwuJ75w8Vk_S zcf3ZR!r{P0OyEig{flH^#x4#1QM0tk&?*V}idP)xV2B$fyDNSr6Hrpjpn^WA zBhXX*)e$#7e}CvTgrj=3qjVx@;baHD&*3D-#$%AZcmE06mVE;X1hEqX zF>D!&qo7a-vSRlt4Z4dy(&vqlJ^FL!uL6$oxYgDMKj4q@8istR4Rb4i`Y!COwXW-H zm4n295VtKLNpbK62u{#q?t}l>qXi{x=vR*^Pwk1SuQ!TwS7(qu2cPa517GeRJkFyC zO=UeB0qgwe+MNaKO+;0jqKV$`h6gst6d9%eAk}*%i)3k|Z?YbajpBRg$vfy5`K^z% z8-k+7B6=9k*epbs*-KOL+gcJ2@58{QHY^b|Z!#Gig_QIf!uta!lCIvSrxz-lB@F}iR}DRI^{2CwBXau(O=-Hzc*9bM zG}mBUpSug#V&N8;^7GwEah5#5l#+p&fUEgMYWPZ18$lc})w9^{`40ut+v#$jt>O8T zkMnjRZ)uG7{@Xn)GEDkR>f+&{5{o7P009aG@C;!QJ`Pd4nlcMQQ}tPVz#!oib7mBT zO^mmHS`6zRn%j6;kqE=25rNYWr)z^|2b;eqZ!k>8MqoN^NsYT5{&1#q>sL#zVaRDx z--k0uh~>+1?R|1dzutld{*|Bs>b81nR`>%gPR)VnaPAE|X2a_gA|J}YFpOPfQKjt}3Sgfa_7Q`3iqf^?Qi64CN#02Jb?z;-Qeao3lkQu*3yU=Yan!$> zgm6dB9=2V5_Y`^*fXDD#_F*jy@fKhdB)Q3WeyA%Tsp(sE108M5J5{i! z_Dq8g0jLoaBE zYo|38zSCq|g#$oi3i?J|Oca;8_NDy#I|LKU(LGcHBO4k&#O6gj;g`F-M~f@kZYR9w zn8&f1<#?K4pFgVy^K3VRH*Y(xIMaXE74?*m86dyqH>>Z4=gs$Fhtx)3U^D^Hp6`QV z-$tU)ml!JBB?~w494|KlyN!j>5VaGHp_QP*lwR0M*BS-xUzJaP(vPVh zs*ReOrV>C4iCD{N-p?*1UpBB_8ZA zXrGkiay_mKsZl>MhQ=u6Xh8R<{V59_QA3;aj#H~AU`=4y^* zS+uM!TF0q>Q!nKQBB!EPOz7@uez@*z57f61NpdFE7x8{b4egN9&Qj11kPpHAtOn@X z#i~XgXF9?iPhdbYSRItpi__?1I`7(DMFMHXNsc_+65{RSvzk~AHz7mMAcck9&SDK7 zk+>mY9KPXp)+g$s5L9hkuF;(i82iJIR)(hclmF5IVlFA@b}ivz#^jE73$Thr@bnB4 z1$W2US#fwvc(>K78kD6_ERM>^u|zT)?NIYd2Qd~<5}TG@J7H1RoU~OdEgVgqL4tD78AD*^diHWxfjOJFU3#m6&C7?WzKROOFheSd~EM9a@5|tJkdmH z-jCWP6$QzOsCqAw`ReD0(V}_S3um2+ep_OuP;TOAeK7c;cnV~boIQ*!e8SAM60ITc z;_b~msIs-Zbd;{S2p|#jNGOklA<$Ef9&-bO*4@WV)buQCfJoNuWmVJsrA1;Ak{s{`oM%v$} z*zbqA>NGoq)C>jc;f52&`lVCnNz}WeNB;4nEIAiLbSA)cvzTx#rN0<6v!B5MG`LBj zZ+Ic1RdV2yM2=*hOKXG?s^-k}Q85*GG!fXaRqw&Ssv>yZBa|(TJ(t9*4UwiQ9nT$U z584-QK=6N9U*7(54V*Dd2!te8D%<5t$x94y{jx6SZSx>PqLECAp@ELvM&LuRVaYyZMB&{w0D-g*t zex(`&9HQ))IgN5pe+HCzY^%w075`v@)V+`)9sgIP*wRnSOh888DkVZJ{*^N4@Dx+% zi^`D2hRj$AT*`*CkK>VW_hb;Tn>_S}ts3^V!c~f-ksU|~6kJLfb6U;La=|VEXu@4n z?B|TQv4p+|6GDZwmt}l|C_xk`1uC&f+-5uh^rP%hZ?^soP4H5{lGMSoyZB>(EsBRD*SWP}%E&u=l1OnY|!&rye-er>y94U~>VR^fYuzV13 zyR8m(7Em^RS{)Nd0EX+HOhM-mJlgJk1Av3x^|{U*dB5xA{|8EYdRJe#XzV4AMv8V z3~_6Eu;1BpyYRoy0m}Y|^PRH2UZ7*o@i=UJ7XSbN00000000000Q+)E<|bsa*JEnl zH>=xHS9Yu2pAAm5kBjvj2kN}{T1Y$&@4^Et_i~TSJ_HlRt_*=yg7{8s_aN}o$h@=1 zR(Xyle-G{c=E!F#9e@(6JTZ7?^lTTPKn4J>ni*6KbM+z{fOjOknOL92RxZJ$;I4aUlg7m*%}>Mmw}XM3jLJ14{}4S0 z>K%P(1)BoS=bafJryBAy;^8sse-&jq$y5s!*CaUOuEF0NVytN(DKpl@qt+5)%!6oV znAhDni{9b`UD(B1MC#h5dJ5nQ#ekuxXz`mO%y!6c(&CnRP8)UyZ3x}d=4Kqbid1WV z4%lXQz`iCoJBdx)FLCszun=StOjP4r&Ic((mvCf3oR1vsk#<<$HteBX@pO@LSXEE~ zAnzQ7(~5`ugA_>7me7!cpX+H7^b!mIchK=9kW>33H6?OVW&A@IjF2F6FxqFY1sRwk zk-8|>YX;Z9pJNaL4li2?H;U-Cu`yOV%|tvRp$@YM(a}@~ z*YA%a;5rx-ndh<_`*!G`#gcq8hv=fkn229kau968q; zgtLCLA75-LT>HFsHFLs68#LIi2KOZOtdQ5`DO-`V;N_3X)zHigp;_9raMXg6OZlYB z`BFrquclFLjCiCzEtEnF?fyayNF}oL>8X8mpqYq~BfA$N&7Qq@?2-%pN7b@{hdCZ1 zDMqVpyY{bcT()!~r$SLpDu^RB27|uxx##-!6;1OM#qpkZ0oMsreDcoe(}w$*|K{ZP zYJ26V6kA&@AK%s~2LJ#7`3P#EBG+opGCA>iI3rS5)ytq5n$}qK4NvD{I(V2H*frft z>+mP7vH%W>c!8Ky)=Q$3ls!UBSt{{aviD{$P%H>gU$NDgAAl)>$Fr#4x&gbb2lSQP zPp5QCZ+=7zhftVM!?%@;5ovr=N$Pd^(Uj%%Z1Cv+H0bX6BdabSy`Or64pDw(pe(y* z({_eK(c=Obt9(lscJXXBNc$-+C;ub;NHjuxi?N3JT7MlituQQukR3=1o*NDaPK}i# zwXej1s?DNIs+AZ%bZDCgHeqz+pOFlYKVvF7fU(vRX7E`K^ZQ4k?bTg??Pchl8S zvfSe@45WiEu~+cN3&BuU_cvp;M=7lF+kAEwyoy)IGtiy~^_#0g^&NvE8TY5vpe@Wv ziovE&pT^u7&kL(6M?6BKB4% zfo)6N<{?-A6pSPFLlglg`EkaGUJoe_>{zUDjh$pD^+MF##b=yyNfrNT3Md2*m3%Dh zoAe#+d|NYTPkU7$QYf$=86oa_iQCOTOG&a!iiFd-q(V)k?TI=?p{vURqp^2V(Ey1_ z5nrn_Az!M`8VtoW+6MOs9*azPrO$N=gBVMb=*c}~efgNnlg86-!q@3V%1xD>hKOKo zgR7kh?7P8i6V*&7vepjC(%{xo5`1_3>#F$!-U>6&Q@Sbyag?d)ezY>wN*IgJzBbY5 zkh#A6T382Q(qFkdk05OXoV#GYrNbSG8+>hZvUSBuN^MQiJ7^xf8pGiAZvv4C(UmjF zhuPg9W^(#k+oYkNYM*E)@a@eWzi$d6DtKQ7JtH-kK0}65#2?Q7XBOO6o(aZL@l_Dl zy*z*)<3|Y)HxYaw!}P06k8BU;H#>Sy<~}~DP|%p}QE&?fiU+ml+m=yjv|3dundt_#r7LieSDi z{+x;4&=Fe4k57%cZw*Fa>jx4#IlRAW3d#Bf4bI~Vv@77}@$gCIp3I`n0>bQ)Fg%}o z)x~9)(ZqKV&@X8mo)VEf!YVYOQ`p$tTyB{I!-q{*PqOA98Z|gMqX}FKZlO2*F3!-9 zO2!+AEykXUGW?qhI=ZVAf>8%F7*A9Yg&Z#eG!sw~3ziHf#8Gnu`ouC*q@5z%rPw8y z-9*k4jLdE(S6+!7CcR$SA{4ZSquBk^B{S>{bQftzay_;rZ1HQp?v1<~rd;l809cSE z4;_4Wru1_+1qgV;HwU2|v{8`H_i}CE{Iav-jF9P%7&3V@%|$4*c+jT_5t-2ozpCu8 zVv55lq*#f~gLVl_&;8pk zDf(Uh>IpG0uS&A?vW|Hb!?#TS*j!hm-vjPr%v1+~h42 z&fq_mfVAuBpaE2MYun-YlWC(JRP*hG$4HEQy&btPTHO}nig)pOmflq2i#H$W05WV7 z%v1JyFD|4=QhWdkWZTKd7gCPB71b&K4Y3(LC=J3b1YHGSkgL{v!|&k&eE05C;C@MZ z^!XZ^uK~$O=02Wt(*Tpt2+kpFO6~!nwqs=fi6?@t*N8m`N&CP^F!xti6gzY>unrM8 zU6h~|RE6+mQX`)lom0PkOst zTCB&Z&B0>3n}ozT{ENpdTAVIVvi%(kw6eI0nEAd&TJowfHJ$A-+xba4t3-PplX4Uj z^X(3-evHQx<`#h6K`kZ&aC}l#CO$G0Uu(w=j9wFM_T>l!_`m3gM296QHE0TxzPJ!9 z=S;t-E#v|Xex)h_k~5P4n;`wpj^Y53;eyk&%)KCmhd!ReRT|kL)uQV2PJ%EaHc|+O z$Y)xMvyqG4_GXHRW@Wt-*gEnCb1LG2#AhX6WnIyM%?5Nhd6@+@#!BP^@6`u9IkBZC zzy`hN$Oog6I;HZqf^;<*$h?aQfne->-0tFE;2O{w8kwJKKm=BKeBIlmEv*%B8P;5^ z^?~inQ5C+I0Cb%Q_df9YUrmLNW5PdknrNXEcWQu8B)F{oP|gt-AYHp98Xm*RO)m{L zP44uAx)6W%w+@kthMP=b>N|Y&rA-(Ny=>uLG4aU(DhWenrVqraB8D zkqf#F&a35kAxPcQ?RkL1^n&st4O~`Sy)1@{2dK3!2)O?*hU`M-7{Ps|%ovk9N!Skp z`5toA0p1F<<*3#Hqwn4!MTr{zla@>wN|{uX{jk<<_)l75^d~zb)@w^jkV6DHAXj5*vpZ=U`YJF)@lj;-$Z2u@$H- zJ36P1sV;08jPa;|KL~p(hqI`%B8}Nl!u((e=*R_};#`@K{XzC6Z22X2l1UrPkU&nE z5&O_87axPZz?Or%NeEaON=O(79xXhCYCVz!&^JkeSIN{ip(@s7Z+h0ROE_1fdhK215v#zb`sD=Lf9xL$|F zld}@pCe51mo}LJ)tub$Jj~;C*O$A6B_1^tyZk!%xuObP34_3-#9}P`VGcWyjrjxDd zk%u+_TU6&IhtZ#xUh|6A-)HAyiStP5sgfT)fXLVIJ6D?%mq3+;&6@MVDNOU>Ql^5U z2uW;1i2|`3Kwz;2Yd?kyfcvoz33r|Mn?g9Oli)z3aqV%~Q+}bu5&Vrx7s@>sbwue> z5QqjJkZEc1+;gg_{Dlty-9!V9_e!iyCb!5Od#=yM=QHZW{a4*Il4~jX<;?uucZAZN zL|sk~*&#d#TJz}RXET)p|17a$C;0_}Lo`~QKioXyI0#Ha!FQ%5697ge= zskD=`izPEj;n(f%$ao)I+tcRDHEUM}r55qMzRjOU z*cP`?p|iQo$hEh+^--K7#;t%exg!`Ik-h&)q*+>Zdeq$`v(2j*G0%2g)=pzTASs6c%d21Bnm23;TW2|AaW(#2iq7*a z48dPT<0A!HC_h!Of-#pO=^J=cUjLEdrYftGYP3QIW!ilWvgWiLCRxUAbuQS#^C6y7 z=?+c$1;=DeO>G+-sQ%yDBEWV|AxRlSYjEfa+kz_H<$(C&3vSJ8y5q!&s>00_kD}~8 zst*(PF~oXq8l96*5h+(?AIlYZM6;k0=V^gr=XtV zr1~rk)5dq(y^ovgqH$RKj6vZG zeY8&P(TiMHPJD_bt;GRy7@tXfqr z+z@AI(`720;Axy$tZ>NB9y{m6XhAJyQ%?|tKRuNYo@}r2F2=PrE27;GFLSlDd$pbG z1fqo73_6LLI)eZy?FR?LHB#`l6d9zf|5lQBy~Da zGk18;>FWgchfvEGX9{`Sz*g19!=$$9N{ED{4^wsGL2kl3Vc@OmJxgYKAPh*-R z9~WboUkiiWWxs1sK#G4R(BNy@@r*U?)S1a2a{@d|&3mxLtq7S-aoXm%qoKo^DAnm?qH}3E(4PRbziF#(vzEjI}eQJ*C0`bC{NAY~FPq z-bIF3Nmo&}rkF%tZI32>{Aae&Oyt)FKJzd~Y_<)KtFt4`wI$7om;#>9jvy=jdst03 z;?o-)tje{b%8~ra0*`o&^YE1$uc`lC_3&z4CCuCAR>m_QBQjef`jcW~Z_sOJ%+m-@ z;AjVCRtm~qpsJM`1n8O!QyFazAQ29IANeOC(O$Hqac!3HMZ%_3zRb&xq^77CHg*Yd zNVN1V6%?;T{UalvzWfi?`u1c+vlbRb0j*P2iHq4 zgokiVJg=y!K1ELSA7dFJ>%g-as4sKbWB zhMEfz2cQO0?{qqPE^6kLBA{Tkat+4WY8w15n_q6!Mh0ILfkPGT53i&jcz?IktmW`! zP$Svo`u1bj;ykhI8aGP|w9>s&FfeP0ska+-cWnB|jSKik7juDZ`1W0xL4Q)%P(!g=$G0mp}cKN0Kc}8p9Lusv&>E(d8!*UNz0|H_j9vI8419 zIUvfjSqRh#c@#>4D}V)M`V}V_tZ)|Sj+rWfZ3t8kqQ`0Gw{^?daE>~3kzi2=)dT!_ zJu)QGz#SVPF2<}V5^v!!n*Lks-_Mzj2f@6FSt#pm@H-8z&)l}@87bD%7!I&@KP|_VW)Nou6~`GJDz_*1n@Rt9mM0aUXntAn?zqWQN-!S zq*1jARqEfow4RMl$nD@>S$TV*Q`{bAm~PN4E~!v!?C`1t!M>*l98Cc@h_(swsj8an z>nlI~S%YWhqmk(#AdAT&0soxtBx%E|vO9q@V6vxAY7@F-BBH(Asw~txhI-Eya>p6* z1YcvU_N}ukh>*raO2JYGf>E;$#6Z$kvK>(ycfd{zVB{AUT7pSx-$*=#CS0E8aLL>w zU3d1%UUXXww0u&(7yOfg7twM-eb7ch=M=dR3EN_7>?iphQPXG~kYo6a#TXDC#|nIn!1vZl^Jgf?eYq#?=ZwO67njUHP%^y@RF`}}Fxh0p5OLxj=7C20t|h%$ z-2?IXLLE03=A~Z`=Iq`T0r>uQ12EQm_ja*=5IB!8lehdkE~|rH*A;*v|4a9Pn}>x^ zzET~OCs16Mzq^+#ai?F>Agr?*#wRwMTRJF!W3n{?I`UN}Q*TeTGiWz5xTsVusu%<8yKw5FR9bDvdiN5dE?#ku=2kQlO&;;(mc>lj-jp z#}A-b`u&!qf z|Dk>c2e=zf61Oz${E9b*o$pDp(Gc9MfY^{0`~|zWY*_*kiF;W6Cq2YS1{HT%M@;cp zLqtSQ)Z$NQ6M{Juk$6)bL$I-anbWY-FaHj$A`Z)Hp#{@4@PCuox;I(CI2k)SdW~8n-c(mXmy4d^O<;?~VXg zQg)`j+8s3*&^nMBBb1jCp(DzUmHQDL5l=dYg2V6cHP+92h*5ACc$tyvn!TW07>Kdu z*toAGO~-QBw)-n+6m`On{L{iOo}K^}LA!ugH!p~^^Mlm3$|A0qpt;0u+Gz~!Q_Zt3 zxw<(XGkUDv(JI)mDXWcvxeu(5xk5=sk>`|#WxEX`gbPsZ?79s2y$BK^GGs(7Rq)ER zVp3QJV+IAZDO~>)Em|L(^41t^Ed=mKp-A7rVC7dmxNSq7Za@)DcgfNTBSn6rhCbm8 zKC!23{^>O>9Ae!?W=W(rt`|;CT8*a}$#WtLrsW{%Q%5wKg&ak9>mge}v^690Q>g(P zIu%_i`K@gi<#~9e2pDU1P_}JQ0_V*O`3v|7HHaZeC0SA~5l1N0#J;1F(;{8#sfzn~ zu5s=0p_j`MkB(A{8xy-1=llvo(CM&X1w(|Lz}TB15_N=&F46fP`Gokl`Q=C!$8=yK zFz14D(*ak(0I@pv!eMI6E5d?=5#!cjZ#OCfviDh@s77;Ik6kLSLMAoAPm|dY4vl%j zskV9^qnX$nfM-JZ-)FHnt!aS-0ASA^q+AIN7rqE~QojihFy$C3(<_Z9UM#C5jFL+? z{Vhq*q>ow2Ea_l4$iq<-$_Je4P9n=X|#k{#ggT*&fMta3lzNnwNpc6Uv3lNjpRqaKy`xHfE7sD7p;9TaHQ@$+Y6s zEoC|a1ZPJ!Sly8T20Lml8N4uzAH<_~SuVG~t}Oa81)E zHr6>62!&E7=sh+R|w=q_x&c^|1dYy($vi$EtbMIy7%9RQwd&8FC!0(f39 zC}(YP^Who;8F>H|f2I380I+Z?J6mZ(O83@7)^IoiBx-YPzVcBxV&czrxcbHG1X}1w zT7=!jxn(?^`?p#Z4?tCb59Mo*NXpkhH#u0UAiNBhGM86{EjCBFt#-Q>!78E(i&la4 ze}XWzh5?H3OB#8E5>Ogp>&!x>1Fy9t_WML^V@aj2bYGe9P2yI;Z%Kqx)V=>Tkz-0M zhFz!x{{0_L-F>)EC)^%aeca4YMtJNF5C9LBnBHNs+Z@~@0w_MgT{MdwTq$Vcgt34X zL5#IS*b=>ESY^GU0G0d;QVF8{HYY$}LDXo2t6iVWun z9xFgoqoY-M`#@V`GUqTRv46DTCsIKQU*q@*7|8+^@A?;vziKY62ug$c46~>#Vob8-umo?Qat1Z>(O#%UPaS+D7a3dTG+c{_sH6Q!u}Tkh{-e5Oe++K45&Da&a)90Hn%MEHSkW{vEZ}yk=Ifc zH1%uYlaXrmwYoEE>wX~^S!-3`f~`q+gr`aBFjd^r0~rk7|1h|7(StcCHbIvxO*G@W zHCj!kt5cikt8J~_f=vve0C6Z*!K)w(&g-@VUGH-j&)^sn=7?l@ZVWFttwca%uc&5j zg;cS6d+=Qi`pH2b;_!1WzHrJONGTSqTyIQjS&YF63p#;$M7)jz$pKTK+>57sY5Vm{ zym7CM?U3dgM@qDzQ;3f0Aw)YQfP5mLj~)O4zeWg4KBz8x}vJ*C(J6M!hjr-+8SA0a%3AOfWR19qfbNt6CtK_fj zVF8)yMRa)o1TT=B=U^s^n1oaba>j;N8vhb`*3S7B5agbeO@+fVgPMdJt_uJDfM}}^ zhmo5e8B@Jc_F3a&_e!b_Q-Y}(K3oqPSy`qG9TSz3cC2b+_g`%b2ES2DK85a7(caN_ z+~~*)2>G>#CB@Z~VU1H{$pjdX0T_#mCy_US6&EC3%9gdT6!sXLAX-It6%*8(#xj3S$ zjZ6p((G=3kQtZ!#f8E@ZB`EqTXl=n3DMr2++Ohh<#e96xe6JYTkb%&%WNTI?tFXsy zfSdsfhbjgSPCY?RotmUkNs>Nd8w!>arB-6EMbjZC zcmchee7V{1G#|<)gMn9>xF{QjGPty!si(XxTVHfj%gI~3*VP#|gQHCcxe~R}R8&x6 zvLd>teUMJ(2MInoes7T=cP#{h!vVM;=d`4O>`1N9VD~BCZ-ZuM%J^$Z6vESCT8~YIUiltcy&P9MPT%m_tO?Wp{Kh?4v zbt2IM9ddlR*cXu)jc+0ifDg+CR<|!j7F}30*MVyPBDkUX*6P!Ksm!iA0#uhHgEUkS zz$8lc-0q1i)%U~ti)YQ3P?SJhpo({aA$4xRe5zLunz&JoMMU)!AGT|AU{TV&nQPs} zX_uBas|i5)!Tv%bvo0>gc<9eStA$P|#e4oWhCQZYw`;n5QJ*<{9R@%HCaG31RSq64 z!eAVd-usF2{t@Fe%_AHbP|A+qa=_&r%P^5i^v@QNLO!)$A}-~oDZKPM3T#u_ySM!D z>GWC)Wcw1~vRW;zwW1jMiQR(vf!FcaY~y(K7%@in;Sqr>SvREk%E1^aL{#*mboAXv zMF1#W6Zd&=&3*7heEdEr`0?}xgO`N7uDec9r{XqgdD9>@b`>#d>R5580-Xg7D7+DV2_a}UJ;)3h zc`7I8Yo&N;1c0UpH1W@~lrISHHQmc>0z0xi`4uS+y1;2##8*<-#|ZI&M$*NqQ4O%+ zQgK<-C>8pCTT$T!3+Dh+-=ExIRLbVrSap#YQ18Ft%QbgI&Yg4yaAmC)29eVVa!1NA zYoqPjg0my9>H=Krx@393DnU1F6(qD9P+Rmp6f{b935gbJrWP0E_$mt_a|=PF3|K^Po5H3eMQ%8LIj6PCuIXYlg%Jw1-b z)uBhbM#6^yXM8}sRR9{2?Zo_R_SP0ZNbr*8%)=M+EThFx$au^TtZt9L>u(R_pw#i7 zO{7u_^X10}xAx~M($=^J2gZqld$$7iowhzAg~%nX^pd2^=Tq$~FZ9a%$t##Co{tYA zCd-fiJXY8nYh2mAtIl!MrGz^Gr^O@I!>v2^RyQZGXjGcaP+F#@I3`U=C+ks!2p_N1 z6W1VDZE3L{z$45oFl7Y9bSgw$GtUPd^yj%35!J|}5B(_F4@)6Xbg5w)c5nL1p9gYm zujD~P@EE(|wt)>SBFM7YWFG`9osgv%p@k~t)qnWWBI+sRi|RX0u7(w~#tNNna6Tm@ zx;jBFTk=h~0jtba%>^$&Ef|}B-D6T%IT)xOI1SIL(Dqmi@rF+u3T#J5;evX0Y@F}h zDtIqKuF`vMx9*giEiJnei7hs1YjMZ06;DcACg_I=TAI~Z@ah?|lhCIvFv?RZ{)yM+ zsf~L?4AhB)r)~7^mOP@X<$~1A@Up;9*bW33mZ8!aVjd49BLo1tng@fjjR{7jym*Q?s$Fl#3CE-5bh3f;-IAC4srb}ypNlViIlk;3#gO(06^F)2SK z*>EBChyxGMvpO`_t_qQ(+1;4|^s+!*>T6z@2e`Zq>Cx1Zsg^cRWzgy z7RnWmrOQJ}{!7kS8J)wFcwx{AqN?5F#9pcRl$3S_tOtz1=H~0SI_zmI+#<9~uYIt7 zjKl{*+sorIC_UFB*5_K=glGCmG2b8nSf&oHvCgc-N0F~lkAXe9NqwFV)!OMwNk#tU zA1Dhmk-*imIu{*Q={8dj$gDEp%@dLXyx6irwNz97b8KS?KvYU7)nY=0$^~qPq53Y{g1A+gob+S6v7hqeZE_ z@{d?D8^uMan5ZiZ2o+8Nz$?@7PQ6)PnDX-){-094I?pNGlZ) zn-20(%T5w*L!pqVH7^WrNsBw6@uRx^@kXb2r6IT?fych0~V7(?A}qKzk)Sg=W5HW+!?&^up?4RvF##QtJAIu_dq7k*Z=@- zJQb{ZoGI?@`%}J~*HGE!O{oK0#nqD@Yeyl=0oRgMLIh1`%XUEbK3c2m2Z(zn6vndG zgDHz1^ODfV*Zg>mqiH>kKIDsCnBb?;RG<|>sK0k?zfgP}SM6(9;UL7&)r`+WFakjN zVvIHtU;Wa$hbd@Al533+1K2&Bb z0QR!IQcL-FkLFvmhzxjSZR3D}!_*&6@VXxf_m-O>w9!_Sk*HX?$%>HCCciy+i$fD6 zRI#$nd;TX5rp9dgsu&?S_j_49AdaS-ZKa`GaGX}q_}+H2&ghLV)#1{PCAj{d^cl8* zPtJ<0Hb+iXiYu;NfUl*}G?YCVe z6MTTL?zU0O6ey_$IcauQ36jJ9&hPFstLVO)VA@9PYP_hM6^VUzXmpeq`~@U|`ndzn zY!orP4q8Ps+LZF?l{xeGRVu}mgN_0ze^2{y#(xBO0NVyMmOUZ?1-ex)#8;YEu99d= zx!p||K&!$1(z%WaF^ilxN#jTbZSobTxh#3V;@!fZwDuJjtOdB*bN+*?XcXZylj~es znvgACuB5a}<_&<=^#6Z?|^ zV%t(xTc$sGPgt4{x#onk@|q3DoF{Dtw17C(H?%$-+_A5u*H^7^HU7cCO?R2m0OpBz)y3{cevU=nfuJVqIdR6_PLc2gF2A--#GN+)YI13IV59uu!WTB1?-W)lEIl z$3+lMhQ{2;DK{!)J~3@5)^3sr?M`G~%p1aqDaf*Qy7uD`fFp$5 zP!rQ6#P)>7l9xkDogBK+$%z}r+f zi5TmU_GgK0UCsc`PKmH|!g4PcceCEE6lxslo=)|E=iRkaaI)7ZLpfBBk9<$zNeBcj zn(1TLMIJW;@Syo7UeJv4Io|D3zQjO9xqVS^071zvr~%I78@excpN|vckDw6Tn~H=H`7tMEdC(a{6*G#P=Tc zd5FBBF{niB0siHkRct2BlBUgUe`aQ8cAJ^mZDwX{Gcz+Yx0#ulnVH+n%)C7-&EC!Y z7iZ7KXi_Sbl#fD{5f@p?P-MK$Pq|ivw6}UWKGGX+V5tT@(|8Ct%#UDpJO$fkpO>_# z1~}fti1MyA4GLv`bi}q8*M|Z{=FWT8@+Zs|c{FB@Jq!%Y>PMLAJ;q^?%l+JW*xkd2iw{yT1tiKI+wY=Slp zoSz>+QlZIxGN2R^51A91syyM!L+EhYW9D?IaE*Fy?#o zQnoVQUC`0xXC!=_kNXWqFsu+ooTl9N5*9(-U#c2eymPEz5Y1pK&?RFUCXg&Mk|lpT|4KpRa)VLZGmF#u(MoO9jll>0MfTy2z+{kr z9m{L=D`>2i&sOLM!{p-;{SWlZgK`TJHk`a9Hf6EAX^#%0x+WI3cY6z)kLH!onGk!bOl2!WaA*-t@wlEm$w=eHuA#H16!r^3mb)`!X~X6B~(sfI0@V=G=jA z){^9iYeL6H;MsJnhKBK}a+RT!7oYO2e4&v?a0((`$!iP1IBKG1gt@|H+n=!(=zC}j z??QIPwyoaI72d)>$ z7G+U0*$pwv*+VP6bDO9-LXo*Xj;hB>H!vZIWF9&@#NEX3l=j@^mfq}7V4inywsp}L z53vY2jdoNx%Aj;oBYTMX43DimRn1-}!DKiSs3h}deJpsbJRkfTZK86uz~AHqO@=SK z1Zg>DX$BavrlBDt9^7S^bv4-EVUuf#QQbC0fwbrisE6B8{TvTc8u@37-yCH<&9msJ z{f9b4k<0co`p_ze zUEWOb3l+sNRpAi4-jhU|3^|R9=!|HcH-Iz!-F-AEkK__dN@{Kt z^Au1W_pZ^&gB2kUiS?8;n>)gu=|&Da5BHiAT<9ZdA54I@p+1F*D9J%gjSw4Nlf(yo zvHKPz0PmLT1e{pmLU2euB(Um!4;kD=zB#UBOb?=H7F;)!j#zSfs~6m3gDgs z=Uw+OwvIp&Ht1fXQk%xSWHb6))Q>wiVetn#{8NFSSJAl~-)%1V$-CYP$g#uOKuzxiN}swum(FoGIc z6atO$X|6D6?OxrgdvW-P2>y0t=M%=Q+5n-#ba7OF`LJI~fdsKjgl}bZ_N0Ql7OPz` z@TkK_h&3Hl8BHe<+GV`th7GLLTww&lov%5lQ}ui4qIiPX;Oy8`o=%qNqb1KpFP4e? znJbL#XlM{L0GEdZ?T~@nUKB_DbF*6WeWQw-LspL&t6Ut-Z-B9%kqRWOqxga+j?M{bI8_ zdKU~?4GD$#c}e&Jk{#4JQ%!sXcL=7qI?>DSSZ29)gbjDd@F<0U5<`X`ZLE1;Of*my z)g~zTLq4Mn?2B^fkZ;l1;Pnpm@TKbvg^>qp`$n zMIwA8xrZOq@%icIHqM$+ZK3CY9>4KYA|6tNC3*?_Qfk}k9rP%T6U?2#u_otdZ+iBx z`_j7r2?uG+^z;X^VKmJLT^#%38V_#Z>y>B_*K_UL{da%lnl&nxAYEa6C;-O1_uFr3Wdg7}>F0itFh zq^=AHMsS2QmuZ+_{232Y1?w|C%*abi0_0>Z*TIj%i+Z3nK#&ctj&f8gN2r_041N;I z&_73u#aQNTt>op9n_nbK`V?t$G4RumB>f^Q&NjpJ1PPgVHC;~pboP$}d>L>32-zAb zd3YXEE&Dha}y}Ms+6j7YPD#0@~760+^pgX;Sf4kx008>`P}pVn37W zOT|KuI|M`abZj2QD>l#h0M#glX!v{h`!bh2bUvIPyIziHRj_PPC zDATX;d3a;*r|e6B&q<}NX~H{Dj)xj?TDeAe;JX*npc0>3nyng4F-^&4LWTAxD+o?@ z7IRFP>u;i9=6L;*@E{RskPz&|?xrR#U6waHNu3 z!~S%DLDZO1MHm?_GvIvIm6 z0NNk@;NmOdmK_EFfWzSmZYQdt5Xgl1c=OU|m$ARS%7%IIi1=zjp>Z~R%Yzh`-3R#7 zwGiN5Gr(~D*O0l&6&RBU=rVG6BC}gKa`!fiJh}_+_79p{>_0)RUQN3`BusC|DBpga z(2S4VjVOLAF4uUH%mqWSX!HfkM0};$wFY+>BRRn}-H;vVAR&SnY6ou(W4$7ImND0o zpefho6f~#q5g#5^%?WpAmCNr_n;kF&YE0iN5n;D8ONRpr9&t0kv9U^7;3py?(IC_6 zJm<4bMJ)-U({1lC`M%}Tt{_Bd@j6>ra47`Sl@GdELovwq@I?O{T6v^865#a%rcMUp zbGLI!Rt4fw*6CKT7bSa&;l@QFQfGq{`IjE3<$_I5Q2U19l{PsH`_*`?aZm((=cmvT z)SYA8)4;>Tj{WtRfHCgx>R><;sK9q+l1?bC)l{$?V>TCx zi`W7gCSy|_9J-&-;m^|4HrC*v*7ZF0Rwj!iSsJgA)BlOd!-?Cq_hx{EATD~Bou@WzfK~kq5>xgwU zN`}O0knZpy7%A9`tqZ3r5sqd5fm#71aT7^osqxDde{ywQB2eVy3p0_D5*x2JL5^&~ z-N-yP3m*5}wJK2mTB*n}#4}lkli~)Kz+T}_U_(Y1&N7v!NJx;+RG3>(J&T2TiseAh z5W)NiOzn@ekwC)NH?99hLg7L^A@6*GG7r#1CgpGj4&-Un<&Z+w-fz<%SMeR@Mg^Xl zB92^E!^TMO zNuR}=rjSQaoXXH~?2S8k69&ONPp658fahvPLHY9^7%;Q*&r+q)b7ut9v4W*Lxu>;p zZK{nn%SoarMhtUwSIy8t&EeWZ#uP3#vZ!8O`TQ=^InSF((#q3#Q z{YWeJp}shw=Tq*-vGM)FhEj-X*bo%)q-0iJ>tKf3mb|fHWFVqjQ|26~G6E{Aq6d83Y2>>l%nWAI-FCDTc*^M`^oo5epjGW38avFr?Nw$mk~ydU$)! zDKo<&SV?H^7A9Y;(9-eybG#TMPk24_X@_q8&09P+5r z-ktJ>;U{T07;Lc~p-qszJ|Dk_<);MA%+Qj~uq0dOA-%`$RjRBOn^m`?rM?Uz%h1h-&#qD{QdKw=!p|93C-_eal z139YJ=Qd~=q?4FLpSjx_>PXm_r6iNDZ2j;Zd^!gXbaN2)46DNnuX?y?i4|cHDUCwD zXdxmcz@Y9M`|{Upl=aX=9sw}!roS<2({JguINe1PSKr3*oBW^z7;XW>HPlA0~J@tTS>{Jv$xZ)Rw@pY+wkP9$43!U)~Q&T zJC%1Fr@T-j((Z#fu02JSN8@W4!-;ae(bJKE-~SI7qd%9f*aoiU70XLl^OwW^HcsmV zdUj996IvSfABtt$H}#>wgFt?)$NVn>ZO!4)FrVCQ!#SeRd7f^FX+@0eg+bMnQ6g;8 z=?gcs(BMl=@;9$ixa>o8iE%jULq`hf4-JKdo~fD$8d5&JYpY!PJ9dc;u8Pa>-d!b zM_^*BZ#k5T2xiFdltO8EL&maXC#zk6VRPoL*v*n<^lEiUnHKDKjQ>OZ1pVxmOCI*CtY8=dK>CD^o;Xq;xBqw+6KO z39;3pqes}}&vH$@ec`pISF=_}?4*oPph+_Fs9ty?4Oy%JMoq%X8XwtjcdcW#M&F0! ztZH4mF4aL~heQexMo6Q-+El@Z76o9u%H9ZQMonX|_XpP>aHa!v(QNATQH=LEoG8p1 z&|OHb0XFKC_cUW>0y0PqB;Uz zDVUz01cx_d@5TWkBj93= z^(pXeWXo^qH65wJd;X@%X_7=fy(4hg-_+fV;8qu>a`WXBJ`0OLrWvbgd9P?nR>4z?G`^QY*@q&WwIuF@8hPnT@#P)ecT&8~8p#&o(&{3QR|H(eFR zC;WICtv1;tn`wCHu6p>W!g?eOsLW@h3!Mjf*P%s({fM3~jJ{R{^apMoRqJ!+ z2U~6&HESZcSg&WM*k==*uY!_&Na=EkaSHend7VpvGh!q4jwR|XL=%9)f>b6ta?&!7 zs;ZT*>b`;&>B0epbr!`sk&sCl(2e{gTo^HLyW6(;SB{xPF5{K1d-^#;%?ufHk3_;CzA#9DWqxCC3fdRGT@6c1TN4-R#N4wu;{} zS&ro%CTqc{ZQxzDpB4VyB6Ihp_##i4nB;Sz$6mU6EX-#`^rA4pfAOI7MOq2M^2)KV z_Q!({7qW%NX!99ZrQXjZsE)@cqWCR!F_de|C3r%#EJidF1FC4ky{UqAJNQC!200mB zz>lf(dm8d!xw9pHXo6XT_C5srHx0pdJ8^09gL0~W-I%6_JoUEl8$u|T5e@?}N93M{e5C=?k%vN>xW~KpXSxivP z=$Mlqx``Cia8MPsvdTWmDM+LubZ=enPM_Ev?=zbH=8j-e2^Xf~--sR?I!2Gi6^*7Z z)d{KQQBo#k=aUO5RbXfp^CsIsHaY*%MCU)A|2u%+{ebDQz|vXA5UTaZ5&YYROX9?x z1MY5W6I#i~93GOoeBsGf^sN}>i2Qp3+CW?O%Rm^li5~XT?+BoocWrZG5`jljkU)dYd&vp6$Wde z{w|tAPlob{o3kii_f?_8DXfV(J7$WAg$7WI{fVOA9X4(Oz`_1@W9Lj8J-#B^x)W!` zvPn}uK0NH;M8l1qw}0u~DI3S@%!ecwz z5Q2C$(~+@_z&z`hl3te`p|ze)Pe(U4mX@e4>1n=G$=xZ)+Iy4!p&nwni);LN2Gt*t zOh5tDE)dvLC=<9a@bW=#si-gY#xcDFX^$X1M@lbo(C&)mi`&zxr?73;2R}Fo;Y9u` zQzUfaFi;)wxnnN$P)vgnokaFd7@BA3Or*+m zuZp6qWTkCY60rPvNG)C<#@U54^Al{DpL2W@aRt^Yq|1~8=#V}erTJJ+FknzrSX}td0yU#CV zHogOJJp5neqbfhlMbv_fgm2v4H+}ZCu`w-`z2QopJn2;s+{pILyRp^b)vIKJ(yN%p z`H?3}lt$C4S}aO~8HGiFSUuBlDVJSMhaGXyRVORkU8j1D#T}4ET%`(@hE7i)>J$S6 z>KFJn9U?*Xj{m9!L`~sdMWN5&s+qXE^6OSWtPf7K(080!n`}Ivxb;`{p@|9>kGPXR z9G_n%&8IxWhII8^tnMQY*lBQrjxj~>_S-hkzboltvuDmKl7V;;(b)4FF3qI5J7Ops zaR$J&!i?SJ#_!)bbcF)J+@#&$%3R9~8O)|a(c$$Uy$oM$_@>NNo?j!y4B_N5tU4>f z+D#m8XTwo*vb7XGl zP{nZhqet*#%`llAerKF>DxwK;y4e=Z*54@}xVj><3Rk{Kiu;w%eN`iiQfBz?%|{%-IqLIuA7k z>(ANWeCTpo;>I;Q05%Uqbg|i5+5P9d>()oh>^+o-H}TEf7ZP)b?NWM1;JxaEt4q`?3zQdL zFuW24ds)W}8FTYG1?3Z!+@0MX@@Z>B(Zw5`gisYF(#{BTOU@6m+)!y`)0Z14BYkQ# z^pvw6!Qo5svdcd34=ZJp4Ca_3@N)N>SQF(VsY3g2drCkd0m)(u6XH5$4Dm0ru%=-< z^csR_j4mC8hzuIPg44R=omK6}x@jVGrW1dw+zjKQT*9L9%2~cU=+F>8xD3;x-zO0;iBo{#Rogw5knZ24_?rf2e0LEIu>YTOTQK% z`@mmPu|@?^Ki9AzP&}TB#LW2@YEmo(7wj0ZP)Mg&@@S6u<%kJn;mjvH>TGmC6O}Q* zubFaIx5Xc+-145ey8C9Bh-%tqSJsSIiYdQTwoR9Sp?FMf*x&I>?Vd9L&R`$yX|LOaek!5*rbt;0vYQ$I$5&B-~ z*Cfol+yDZun;m9a)(cV(WIKjb5I-<2d+YHYi*01^#^Dh1Vn^LdSiUJE$QAN`HNK4z zGq_K>NG|~y91P$ zjx{*E=Vzw)m+Te#Qr{lb!LCF$MiF}DNQMkHo#c)D&T~jcu_DEdSHN%$3&~QdIJ)9c zLa^wTK47paZ#-2dVcHc;r6b}XbHQ72OCt12@e1y|t;u!U$f#U{toU0~uHiY00Srsg z4F(Td$`D3B&B8`gzcFZZ-PA!-Jz15~&XJ+$1JZ7-48FqlIlOJp*%%NKVhN!-S9Bkg zt_~{GsgvjeaFH8|icI^0&7$G0ZEdds!2ql2GQB=U<3B{Jm}x6D;ijvd~2DG2|j)Px7`bod}i`!vr{4p4h{7SO4Ll~{jenxk}~v{ zTJ%{>!`wI0n>ivQy*tnsgJ3KGFkI@d^3BY>L=Y!MG!^P>gSE*0h!HO*!z^7m15z)D zKNg;@Fv8TXkflm&{HO{1qLsLuy6AEwnXzkkCa6`1MYX)C%9RxaI{(%jz%^t(bTqJR z@=G!%EkbUaHvr3rj8*k*0SK5Dj9U70ho}}vhiRa5fWu##W-ooIz@ah+?VtER#qXc| zBlI)|4U>R@L491v9=RdsZmY0RSklnp4BUoFA)712Y&_2Bt7+zFoB@Jz5lHUId55W@|~J()2S*OJGb&PV69OSQM~&BaE2gOvJMrFwMUW2EAVkUBCmY zis&^e2K>HTMQgb?H)#CVU4MUC_wVVB^Y*T*CaO3vb{RHV7B>{GYKPYdg}U3TPJ3*i zZvvoKC7JmZJk|I@9v%w8ZC* z-RfFrIC}a342WM|?@zoD$XWbb{J#OosLrum*N6Ih_sVRtIE|^6)KpU?{Asy(thW#D zax<&AC@GY5zP`P}(k%N)fC#XO_h}E^9k5G3G;QQ(dJyQ!zy0I?`{5LM55W6Kb){mz zp3WABIU6EWz1#X)f$*Otshtn%$NKNBfq?chb_7J=N`~@I1^O!v?XBg|U~7B2)Xd-9 z({hJ0eNj6zJ~vMqZ-*6^uNb|IXyzI5>b(dlijcx3vgAzE2Vuyg24Vy91}rP@{RC6? zUb?xouH6!L$9U_qamhW+;ApW8iJqg2SGNI&&!RG(uw_PyIHS#I%9{asy&gih*s%Y! zKA+v;1S}Oa~4Z|B(ditE&D%*&e`D4;K0 zkVda!vpJD^Wu8|#cu-CK1*HGm?|#uPd7 zrby0gsQ>ByffPG$$Lp*b{d^9r@i2UfUFHNFs{Za1uclc95}p%>g5F6Z_iQ0`hIG~n zH#WZw{xG=Y0ti!Kzu)-`UG^sbzl6DKI_!1sYep1URiwo0D_^FtG-2eY+9Z=%$ zEhD4QyJ-l2`sMx7U1^XXWIN^+av|QU>~jf7w@9rh($s$$uHxwA9DA9wy6Czq6iv$>pA&dwCMhQwb_Ai5ny9H1u z2>`zwUmhN}tuCC#@a{dL$11p(cDi#i@gH>xeVt)a#FR~ZU%nc6+SAmDmrla;M-W@d z4f%UE)}825=HS7OpA>tYmPjL}$wuMDh*+OvHd4%FLZ-3Yt=%I{fl1u6Rm848TZ>jv z>3_2+i>!$nr=bw_JBlCL>aa!xV9g+*BI0@C2MRuHa+->I+TVC!pe%q%aQBjJ5(g`E zA{7PU|Af?FRYkI0SL^w$Iy1(~6ZCeWH7pr9-G4xGnnGa*S&x*#v63}xUe#?*s-o&Z z-vk>40T*;?ct`Fg%|%iz8H@epHr5zw{Svkv6Jfk&E_-LZNIPVOYb3|}o>`;c;SB;* zp&!KZ5?LJNYFf+8FM!!?3PYW@8*Ct;Ow7n!?p+H3N)ON0O4a1B7!Q3OJjXRC#qjUuQX0(@%yRuWXirF736Q{|sk%I)Wq8Cvx!%_e*=3p-|89OqIwM<8KDfF% zT_%i@XddnsTc(FvEA;rn>QupvMMC`V<}_6$OY^(*+o`vffJ9d#$@Q_u*9~9V`3Y-0 z^Bt=psDGKu3#7qv_(}+aqDKR)^?>fJRZvy54n};GsnH;)VIWDHCv=rDkqn1&%p9Ae z#oR)tyrxKv0OV3V#ew5K72upV#sfxU_riOl4Yw+nQpn$VK$W+0dA=EFWe$!{TQvVF z-#9SL#7I-D{8iXuQ|qN^Y_scY&3t=1%x;P}>l$selJxM3CnR+V3uzONVB4Z{deOI2Mf zu+AkN9E~e63#cd8KEXBss{1fT`gNRQB?ADrJF6RiB98&SAseHe+F&TR;B%&%Yf7Y` zmDrI&XDO7FKqNjOJ`09sJkYb%>*DSxT){%0LXoUBz_?FIIv;9ld*N4_Th#$x{#2Ho zu*TGTn=rckfHJ)Z(8%Zh?{p|z?r>jZbgl&rm1E7;{9jpXk-?rb{UZSv-kla3u;NbFe;pD##4;L?w(UEtd$!d!>)$ z#o#hpnP*UuO9lUVhY_~2GAmddak9RGV+OztTfaL*hA6{VCIHgjsZfnN!8z-ET@+an zWC)a^KAXHSQE+#ZTa~H?^;s6q0-!Dw8Np;a>yH;MU%yLXdjrDqVtPS8o(s6ADt2Ne zctmXH4C(2>^Q*YuTBsV04j1JW4NyBfiN=`q;JSGv*52y}=df1s%Uv;tJ}+#+KASIT zo!sbN9po#~I_?9nKoevA$D#Vi##KVLULZDtmXrKOv?a(S8YH2ujW5}sP5oX;80e^i zEZ9dle)Pd~pdciE#w8UDCneDF2_@f}S4J3)*R+`CL>|R-64`g1>`;)AVo2del777#h~fJO9f7_! z#NlWyC*Dncc=;^Jj2QkQu(Qkn$val^*E=E^;21>5qBl|)(>xP1m!%;yv71(#Koe+_ z09E1~K~;Z~1_%KJBqh)mHi29}HRmBKyKZC$4X&SduQ4gEz__ri#^N_z3S+a-d|iiO z=2_=Pt27q_R>Tn)V~9vaoCo_P{VJCv)8{sCYKzLf=1fmJ6&y$ky-O!TFx18GBW$PH)K zR3644lX!F^GNFm;*`N$0z0e=pR5p*udx@p?d%~zgls!hLH{?=8Yi3{q_#@te4y0AB zL;Ye&n9dNu9pLwuIA*SPGKEOG3A0O)0(!@zBKZhM%4qLaFescpv0L+7xGbIG|!7wv&ac1(D70*jYF!C8Y!8 zT;AfzTB^-W_HA><$Fe;bzqPmky4p!TIMw>>iOlhXk_oNexAk7BSU_&K$X&|5?)ME!6-O0Q(0aDO#9sFe?ZwGz>yNg^Vc0yXF9NAL&EFWVY#dZr-KKQ{g5PZ zuKmU`D3Q&~wWn{iWI9|#4ncf<08Z3w1m1QWVuS)Y*&X@-jQ8{3;ZDckF4hjwQwiXU zVm|JlK#XNIiZz;g2{bwJ;t?BfrMA~xxe-1|$&b0W(FJOo7pcffxq<#Vec_$^5jV2C zy9i2115*rao}3>cj7(93>LuqujXKW?Q7G2?w|;CI17FYJ4;EZCGAm2+8`#-!)Mjwf zK~FNx<_x8?JBI?rsxm^bryq&~m(vukAvTId=d~EU_@+V{j@}a893?_Snwkqb2aN}s zKOth{Gdw5!IU$t4QOUa2-;|GglxLpMboEi`;k&ABM@Hw3Fd18?J1*0VyvYl~8gZ52 z7i>SWc0g~SZQ(pn>AafdHOAO%uH0aQMK19nx61D_S==EQAPuV4Y9V|yM_5O2H+W0R z^-XTzEX?k8u!3w(I1i`9Geta%98=nW(_qNRFe1bCo@A=INy_O8Tyh1Oz9oq7!@C>6 zMl9Qg;MUK#DEQ}d$hLE6J$UhP_v!fho0w4Zco9XQMjh+;@)wmBhS!a>YiaIOZay*> z`)PoqFS#t(YA=qIQ+}nOGyEKoekrI#ev`9hY1auI_ST>Ut}c@!z01?W?SXG(39DUb zT5{sEpx70zr>0N5f;CC~d(t4ZU~Klc!Es%Y@^wEjM4DO7{jQ3}DrqE(+!|Q3)DYPgW z|9AQnG89h8Xe!>#7mZiCk47~mSdgGuwb9ld3=7i^>BAX&9xKhmr*&xV7{$NJa|<}g zzHb4;T5Yt`sd9gO3wY~$RW^W_o>u54SilNYTB)2t5lyKE;pftUcwu zqGHq(ajilw34VGmKnawDfYkC~o!WtH^pOiuv-biMI^Jxr%g6!!(+J1%CJx~sib6&U z2}Cl2#uhZ!P;cC!uFLls8Nm>Vw3ZF@=$-(tGSgk7;Tf`_K7Nk$j9~c4E-LzTf(q8+ zDEH)nbb$(#@Wn*JEMn^7GI@&sLp+!Ltc}XuVJerBSY^M}(>sfLl=gdhtr$gSKJ_6x zb)C=AKziXPOc+Hfmq+2_oB|0RUt|dHf+}AY$w%p#rEQ9qA#q1$zj69NI&ZaVPbnK1 z7*%03MQP|rmF&0<&r5yJM#+)KkNMPsPlrw_;d4P;05FAkSy7*TJLUPz(ba$k$N?`R zflgGx-_Jp+m`_pTc~-*bXu^ZiNMF0&`=6; zo%Aiy(4gX^D+k3EHO?Q)=1Y0qG(V={0<(+`$}+`$bbSq-;Ys~qrQUHFkFxr0$hpnS z%KCMv}TGqocl9t8*~ zs%3&zsZrku7ZoLf*v1O=M{DBg<_W3Dh`uKmb6*_{1N1uuc<=l+Md*G6WOIL+z{7A7yX$C5ITzSD7iB!{WqzFEBx z;3dxp@XjlDqmWs>Stw$j-N_zZ9hV}}Gb4inuD4_SnMKYh5DxZ77Bx#La+Ut2nx|o| z%+utZ9X2aRQW h{Szh~Ix1dHnH!DvMUEmF_}cnVO9-U8U)fVM{|8wKA|C(% diff --git a/crates/jolt-verifier/fuzz/fixtures/committed-muldiv-bundle.bin b/crates/jolt-verifier/fuzz/fixtures/committed-muldiv-bundle.bin index dc98ffd0fc36c2529acc6f18206afd61c9c3eba4..e91a6397c2442f18c130a3f40206236010d0d843 100644 GIT binary patch literal 99851 zcmeF(Q*dl;7$^F4Y}>YN+qP}(c*nMF+qRt@+ctK%%f1&xWegOG@`+We#fBXH<#ec^Sp#1;2_@C?l z-hKep|G%aGe|_zR=6{_E_``!2DDVU5zmGp4|3^Xm9|Z^q0QBw;uxh%VjgZ~rw7;K~ zv=OQ0XXV(*JMGS6-;;QFe-#@xJu*n^k-VpR0a4pg$JimrhhyMAH2({V{$b_s{MFpW5dbIuJ~cP-5K zl3Vy=?%egL?T&h!Rud8=>s;oVJ(6Kff(}?-zo7F#k#WT)FH-HpLc-g;AJJ+vz9<$q zH`)3^k)PxQh?-S0F?7(OcqZXJr?DPJGy4CoM@&V$#Q5NVao0~UIqz8Z_xRN`6fk}U zU}Tvo*LCMUI|nlQCsb^T3(SoJ^+=ywmRODfH}vmlS{V7#uBK3rRZNoK)u<{PvLrM3CkTn^*9 zypwmXlq4bFj5zekI>FacK#2A9xeM=d_%{`;8^7RlvN7t3+=WQZs0a%u=RZ}P-ByK^ z>mJe`QKo-`Ls|J0(WLua{-23-5aGVNGv=f`1XC6?92$_Mn)HY04yH#q!o~F7o)`!5 z0X;iofl#M-|DrY52P?4|L=v04?FbHss=+mm*Go>t>Z@%?(H4C=kVwdQCgb4fkEl+Y zX6o*i>t?3T`~J1lTwh0xB=w)(Dq(G)Rh@$Be45JO)jq_L_y(ApA?X@CNnnY$U~I z9?84fCb+GCp*vb*umddUw=?{V#X_;|2I%hoAa?=?Tne z_^2k=>V$G+Px-0FO&07DN$1t=XSoG5SfaIFfP!~6_To`W0!FGdQP&oNE?0C+uspoX z4A{GpbdVx=iYOz~+A#OLPtr5@Qpl+=r8X5CU zpJGYSo`ZI6DJOUMD5^o_ij%WatG#))dA(7Plmq!cgAf{+^-SAC#5yovWbAC~@jl7X z_6L^a&%l#sPAf0!u@Tj%Oiv#tav=wJLTk3B&uVrBhzJQo7)@^>{FWoc29W>e+|!k+ zdjqkV_TA}GF7v6X1o_Tp3Zk@oZdHTxm&ndh?s=#mhmE z@CaV=#Ms&@=a`hqBVaHA7uALG96I8FoA;n8`T`y<)Pizpr9~V86Bu+~#IDW*>50La zm^bIMf`6^%lamRfV%Wt2&6&mrN(q+^ZXfu?!kt zFrK7a*iw}wD-uIOs~%}ctMH(5Jvu-(I|PS9^}N@RK7Gw-Us;>1razw?&U?`GMya3=_|mB9kX z7!gK$`qPpwmX_%kAB5i-3NB(dReSuaC7BSgPXt6x9ASOHd9=S0N4r6piJB%~X_^jM z5*yXr0F)IHpTdY6MEWbs0{Sw)lWwUlMy8Cc2n`sL3l%2y*)4!5UaXeE`P2BDKCV;> z`cF55j$YzJi3mPWVKZ3hil+@;?wJRkHHC!jfy%8eR)?`{y}Wcd!i3M_(yEH7G1G9? z=?)bGlnH5<^Qm+q7=5gb%@^m(I(-;`GHyT>7`iSY1n-^BR2)YQSUBnJXq?M9cE&-_e+E=y@v(ek3insiN=*qDdz!6JFcKiKDA>;~isef%$ z?eC717SQD6l~l143JZ~jfiM+G``0_xj@?y`Qlc~naTcNN=2R!_M>+~nt7xLdiztSQ zE%0ljh4`z@9<<^>d+xF{?_uqBYkI8>D|)gM-o{#&Ys>I>ZoQJoqvs3ow}#oVB%@-k z7-7Oj6bgTK;}@K+qX~gHq`^!`1Pz!_91|ae$@ea;)@-+~Qq%%QyX~8o2(bPY;Gp>( zOWroXfPz4T`-2ju*zVfZfY)GyHAClx%8i81rTrSwGe%d2y;l2nDhJhJK4i5w=kqV^ zw|V@lsZYX)SdVx1SHklRf1 zqWOJyuz8|-xPZr}o*WR8&|+$GvSWc|CO2ALS#7xtjK7H1TM6M=a~rY{!hkjwS%H2$ z1gh5qk{?{pSuDp(lZiY6mJQuG2VK0RFp7$#pHWYp?p?JSWYIbaxFvIj~ z2^V7J*W5)53AbivU)^dI4p`*8dAen$v~2&yX6$8Rxp#m?=;*Ab8Y@xZx{VP8qh)D= z{lF=vtk?0%VyRfcRs{J=R(bLpb{vo+NnHaHm;z$aNx$oyH+IA);hJcRHSpKo&|fFc z{---&Cy|kNB(E0#@*1TRD97r|GbjioP69%IQ8bM<}>|$gi0sBLCVq*{42@Ji0-{QS7D%0J!Lx$WL0WrxHaUQ`YmAI<9d>M zu)9}r)`eBoz1&08UG-u=V>3B5iIHzEjv6>d+ltpl3_5XcxEsDjuAwv;Di9g?Aap_I zt~9m06h6JRC)_bgfEsFsMN$!^?o?Koe}WGd))N!P@rl}b93ghE9DB71pe7ojg8XJg zT;d+i1RU+4uS4c~snw!-JnrTW)b_U$`2bTl*j`j=W+8i+c3C39@kQ(B0&Rlyel7(P+5|$86etIY zT2giFzh4hiu8i}l&v{7fLX=h=`1BS}rbMW~gp5=NW`=sYxb%#b)ghXLTEUm7DgWYx z6N&-mL5Y1XV1H!09`nNTt&Bb_Pc;XD7^r(gvL#WYpNCVl5UA&-YgwL;RS#TEkOccQ9^O8IF1e5HJMVJH_S{e>s-hY!>CKbWu} zj?~6na(_E7hlxYsH`a5mPBdZtIKK&!A*MvZysY)ul7}E^o)Kc>8&a6RJIptkhtf6vG19&T&Z0}Aow=XmWh$7j&~ewA3SRoZoXqSNe?&fCqyIZpgu;LMBb5j zyMj2Pt=wGJW=VwlZBQ!KJg=tLLMlhK;|o7o5C~#-Hix111*9M#!QaQhWPb%QQz0SG%JpuffSEvF=6X$iJg|Gc`0-eNk?#uU?70dxpF1;vq z^)kX{5#Q`y9$&A*{AWBUfJ z{8st#)0|YAvFQhegzW5F+Gl7lR0Ga^W-!VFg^YZV(|pB}{yAnG>TS2{$bDn*;2sYqk7U ze+q2b*D~*cBsn4`L5nJQDGbD*8U(iLQm+-G&%=?vHLwMID-}_^pqd9&%&rML-@3#6 z2{>g!?lvh8mmFDG>fKxUX%iV~O{RsB z$WaGRwruvuO90j}3bG4sA5Gb!HB0$W5{&8MAVLFlB$J{&?OW;}x)EmDJnS`LdIBU4 z3JELdX8zW($xT;RsES^Q3}!WO{!x@hGpyyI9S7sqP%fFL?l0o>iHvJ)O74wHh%L#Z z#Lm_ZPE_FPX7KvSy&6YoJ^z$1mdJvY&h4*UyBYC6*xc>yOLu1t@YL{& z{7->g_mc_#P&idU+A6r!Yz<($(Ai51#U~$qKruPLy=%u=O}ORxkC9N+Wi|(-La90j z$caBEXR@Qv2?*q?Q?f;-PTih#^wCrB%$3(FIiMQBfG$A@PCrNqxDlYU8a=m3=>Gm) z^=c;o!Ix(aMaveH%Cw(={zgAUQYQh)bg!FDRgt%IHWZ|vTXvAz_(NqQt)<%wJ!so5 zXi3Hl&NlB2ZA>2Nhq;F&f-W%%B{SaF^)KE1v)I{^mKPMRm+p-TYap(2dtfogWG9R_ zMIzc5&3hep*We_}7n{gd6@(f9%TM|nr4oA$OL$||q<2U(d`U(rHwUV%qzy{g*yH>l zZs=Xw#{1h16NroDM911y(yCd<^qic){|mUtoEV1Bc%Dt+d*dBiCfo^@py>Ka{#=f^ z03~h^`GtgowlGa3aw{tzhzLO>fkF++mOe4(Zp@{GwV%3Y^n$(yURi4BlOpmV*OS}T z2$!7UTdAr>T07hd?Kln(|Cxc7lN)S#PJB0Z&VCsHIW+^@NuW;=ImC=x6g-c-;7+qr zkc|<`x{DW@)fv?id8VZRtFoJ~9YQc}o{bC*(+bj*4P3Sxj6hU;6n}1E3^{=-$PGm& zBj5CAx|wNZfrP-fj^tZ6SawKHWF(@9#R(_0;Zk70*W`RNpSQDicMQElyiyy3#|Lk& zy~S~kEMf63y{DBK&K!_x4bDUD76x_S0)xsLk#Tqpucz)U{OKCj7LzbS;y4A%Fu8+G zOhTk-Y85pxKb(#fD=#Q`1wCB`%ZyZI6>co|Ie$m#knR&!9m5=9|Npw*C9AwJaiWLp`3JP6106b!gOtp5vVN{-)Ve}p?+u31fm&^ z!99wt0Xq^){2cr#gt|e5{t|J9nH*%%T(&;;oX!@ZJg6u1F`SJ;QfM;DcNNe=x^pz! z5uo(!hsbZ;%_*^eb*JqpRc->s#1meAW`q2E@QSV(NQZj?zr!#bOHhP=X){QqYw6Mn zfODn+Uz_gef_giGS;;Xg;e+m)Las4vs(N7(T$Gg(Qss@kTQ&v1?t1dPR&$lDot{(% zzmiq@>3E`c>5=TpqN@lJ3FVcv;k)MWz;k>ODyHROrJ%_J+gci!r?y~KAwyA1`@E~j zO(yoA>hFtT8k$Hru0J=VGJ^rUy3uYXYo5i(*p~*P~K*NQE-8Ne0>11r;zppjuwuPU$Ed zV@MGyW%mcquv_OKwp3la-&uV9HPxue)hNs;1RJx?&^KgiqopRF8WP&e?0Q#Tthu{= zpq6o2lql<>2**}Zvx`|Y7yfA)BS_F-)s0^GUyarv9EdQ_(V}nKrEyoJ zBONm^d+wGFv4?+K9>Oo_HHL=c46-hXW+kmS`$5CnTm&Z!g+n5@20Fa{j>396yhY}) z9*k_-{?^L99cmT=taR9h9O@?@L^DS;hr5~25S5k#RZ{H5`CuDn@5%6~XN=*=vbjr8 zD5~rrp0;6NLqkpS|_sAavOa9LNgIZ2D7BLXaj%Y*kAyRaSpnlJ-bEL=N4d? zdhJH9u)1JPp6$_yD-!kWF^AVkF=Nz!9q)_%hy|{&dKEtRJ_K_pmC7h#Qy?E$6LHEI zp*d#G5|#oaM+Llv1rprs(ilqz$Adz0GLZalyW%ZhW<_M@6DVW+Lh3pBi-ysGjZlXTb7+LLjYtAxE~x&}eh5^d!ZNTN zrmhkTZ`1%>0v;KB94DGnPQg^0YF3k}YnKp9#OHzVNUiG|rVweFsJ`T#j!w62k0wO$ z`B2cgxdy12<&DKV`xib@yj&REy4bQ5agci=k?Ja57ib<4tuwJ?#|scNz~bx=Q~~&w zCR5tqgZKITHl3{}_tA`3$55j?Cv#-SFY!dQtSv}4zW^Z=HFl|+Bv#8b8=Rd_); zX25-LnvA{e9??jvjDsN4&X=q-LYa;_HeNpUX2HC0V|Zh`iT~incLDel{SGMSu%)Nm z&&=CvZBCe{>DUtA@PLA5use@^^aQlsx$o>D1{+pwYN1aLF3B3B56h{$5>?ygKEEw; z4ix&K#rA9E;ijVLB|)7MC|0-H5lMag5Cfpex?Ok3kQ7R=YsF_75EsnO=Ve6UbBqM5 zQx-iezq!)P;Cz2_jTF3VCzr^gXG;Gj(-CEV2ux9jW(VYj@eChmH2e#0kye_dQtqPF z#rVw&@Uwr@IFdbasT`f0DtYHL31#RlqIv|@{xl6W%R6KHpFW63>DI&!N{~8+p;#>l zJ*PO`f+l1;uFSVYePdW{v}0_qVXRcMdM&bKk;*eWE4>ezY}Zt=>t^_f%a>KLV!NA2 zAB2h`8vv@`D5HAdtlJSMmWecoIdOtlk`GWfW4FYRV~dNOga zQg$sI5v;}zvnl()=zq2s0IPWg!Ofc3kwNaU7#Ek^L zvQR>z%xsRllRHGj5LwsOgS*m%-{`fpvI7l%<=}6dgBXu}kPTI0!5MZ7n6!GCQp+?|5{lwoT#GeNvQHM^Y3is;@^W?2>@VkPajJXzekjn)RoPR& z9E0mX*Q3EuB??0go(li#sNHLNY=qWTxcmu z40UI-w$S-g-)WTzhm06mu?}x=dh+Q2;Ib}|m0F{c}zv)3`*3iNnj{9Ag%Dc|dc zBP*${%;qVNlwAs+eV5z6W>EGCtgUP2DsrC~ZvsJAd!I+7Q~kLJNe(ePSfzS%bO9o- zyf$g-m^nK|{T%jxsZ=EgseA#g z)=g$iV4Chw{#{l&iY0U|iTd1_B`bTY;bCX1&g=P$)`R1@4EA(ds)~3ukG}rliscRI ze5FJlV%T=(ND?8(#yc;vz}g6fjd#Z!C|LlOAu*z+; zH`R`gdmB#cH%O=LgshK|Nq+Q{n*=%{OqAd(vf@TvaG^hD%M**;FiK6)%n9pn)*15WZC?@s+t#DC_h^X&mPuxUdm_kSv`g<>Lu&cUij!RTB&jJ)&9UiRoVeBGF|?@GeRz zNO-@$B;Qy|(N6%5XfXHuTSPQ1N^&a9IrEKXM;VzZ*pS6e#IxY|v=NW6TE{A!G^JT7 z{H<9WEbNG}o)V1J=rrkPrB~LPC?80d8L}9feQFa2L16C-YIOv(Can0%@IlSy+lgc! zI^mAiEOkMvf)`{4~o?`7;7fM<|pi{kRjk0e?n~q&+h{PU4(?mJBB`R z7eSdkBsIcgttg2m+96??=DjtOK$2Z4T3q4Vmk(vd{WMsc1c-5(hW_Us(^p$)-?2uy zxD9;_d>wis@P}O^h!9Uc7<1{IsH*EhETTC$^6bIvuAUQ(-h##?>MfusYJu6E~KD}@ju;ZA)6%7k#r}*vJ6_rV#Vs+k7;4lX~^2C;|>J#xwgiCr0Il)5X89Gzuh^_Ob ze$E4`7hr9z858XTSUqma`q2Ru?xd2d%N6KR=xf0vSkeHl9NQ78*FnG!js13dLm6nF z*fucTi&W-@MR0Y)_%+-7LL@DKL_V)1AzEBh{=5wr80!gl~? zc2KtvQE*W&(_D(2VAiPc_ly}2wfPmPq{sf=5E^J7FdoH`D~DRPz`+tC-SUm>16pM* zRXg|YM+D8(unKWTpQqIBEzwYCKANZ?O}*ks0>a98Qa5*GGVn*H;-lz%$zO~er2^K* z6aKAPys)c-XbrPPm86hE%WtC2^-_HXzRzHrYUa605H}ccf{Niq)+JDa#-ZK45Y3Mn zFRr<lfn2>@x(AjBH1YH6CbWJKczCm&C z$XKH~B^Cn^(^x=?N^X0RfB*5tfX&n3PF%qL+NMt=pzsK`X|IYq#-B$E1RY*ByC3F4 zL_zZfiHaXW{?#SrJJLID{4D1|80Lnldo8NWQhF#hRAO%pdSzPe`zrD|MO+} z;s?evbr6l6r`ijr0J#L(bW)wj3%E5Ep-@19tDQi8_P6vGNvo#ePvC)DaM0XR^9knN zWEfS$EfOd=cye?Uj48RxT_)zkMf<8<-SJN{`hM`!rTb|yAFD0%jgo*!M2SjZCpy3F zB_N2mIK#F>>tt<6%H3p+O0U+p(jh9U4YsXJy+Qw39*g<|61L8PZEt2MB@j2+N=;!e znru?jsQA$8MgfiqDj>y!ezVQE&zvb=S18Msmd=4%V|MtR!D9&18_%mq#`Kfw=|iXU zm>|O8D%5e(D#pZ4mUl>D>P30VvT{+M0dbzIVeCkX;J=%0rLH zlR*XmEr)Mv9^)xr_QaS4&-oGQ4k9!Jwi7N*s03FaqY`ibpJ5AOu5hGg5GB(_2t&S7Xg2L|0te<5G;fjK|LwfB$x6V~wm z?rds-Wh}Rw!A|@Y9X^i zt(3X{M4Wxno{gqROhjV75{E!~b|HiHbn-Ci5_DBby~x~4Luxbxj13kd9~9&sdoC)i z#jnEtgBKtJ>VSlN`%V06EKFJj6D;X?8l0SF8^eJi?QKdIxiB02=lx3hkOi@MSCt2V zF__}#&S-t#qtV}e@708avimoem>od5n5m#7zSIo@TE|kvvZZNYW#9%{I9E-_N}Byx z4f16PQ35FcLVTq_7(B3#0w;tCqf0W6XqTa;nr^Z`gFdHNAMt7_A#g>- z^YeK3YJgPm^{!BJzd0tK_L4m!!g))@GErKShEsHzAj&^bLnU39zGD;*1FGxzD!+Y5 z(Ek3D4$L*hachK%6SFU^M4h~n-^Zfd`*YaFO8=Y@V<>`1%A}TE*5km?uQ8nWF-2kD z@KMGaDpCSCRYTq=w%?%xWu1!jlwhF`!CC6>ll2uNcq<1nT>Lv2XMsY=aPxr+h+~&e zjNuiEjtNvcJ=7*$2g!OSnkFFvJ;P<47@Jj@&q8upc{M~Uqk$p$T+y(Ucqkc6^Sp{HJ3n8DPh|5 zX;9=(%Q|@tfd_D0s^V81SP-89OIN?6wk3U0=Nz+VQiAn=`|By3=80wvv{3ESRa}`pi%mc-pI~M<#36mgAKm->cAKgXDN$wp4`2&0S zZkfM!^4lZxRD2b}`V};`j2X2GSr-X!w4)9=_*cO_>94%SL7J#$kx;42iz+k~jTN69 zn)h^VxMW=GF$*YHU<-nk)bzZ)=ia=r#qh7@L7SRYXxq{!g<;&I!FTTOuB>l%c_I@v z7kP{O+DnIDFOwiq6#Z**IBLC)jm;Z1#_^JKldOxtomHKoNnYwP^e0$&5Vb+;Q!CxR zG!IvUlN4N3m|XqGhAvlF(w=VgaYcXLEVBSUGAQ?d5=~*o47he0K$%6io0#>HY6-Cu$`Mf8o07{<2kC@7c$$E(hHK_3rArLm6d{ zMRXViPuN3d^7;(U;bUg+Gz&WD(T%cpH4g#ISxvUOoFW#(9E^~8Q{*emdi`Pr?W~dwuE%kZF9iA zDaJ0<4L|7~oqYXEk~A>jKTO+NzX!bC=1AJF_vxnB$-*MKSYN<*rrR+ z`$oFc#JDfSb%a9+hxc(#&u5ak)~0{xyMd4U-x16g()>uSLUFHsLt zWc@~8+)MFAV6{{K&YW-?^2}CC<0XDVg(Rcm<73!u zuM%m=#K+=C@xS#>XjVSS#LDP0MI_mCKu6h|p8|F&jq`VO>Vb;C)etg+qLY@bt-&)V zvqd(10!agc%%xv}8uAp-zP00lZQ+H#$3ac)(M_J7m`1M*lor}_pSuRY<5Jpkm!bbF z(Ng7&CTTRM9c<2;{RKCTOKBv(VL^)+iS3w*nP_izGroG!sxIBzzBkqzpohL0;@{fXw6K5@TTzb^Ndo)7*!#WPjkO>_#T7ySBET`z08ZpcWp+dTN+ zJ?AE9zJq|pZM$Fbt0H4sRT!oBx4i?p^duxRxkTHF*tSD| z`LM)rv=aQYUHCvF&f+(fi8e~$k%+%NPiF?APQ$S#$(x9HS@uh~aS{*{O$^Ee0X9s_ zfKFb6YA!z4ky+3QYWvn~e>xEt)Vm@m_{s&cz9SMM$N^&E2fQK{DuYOA;ZwT7L&$`; z%u62`X4|{dP;u4ImP|;Lk}|Z9s3l$eHh|kt6SqWIp{mV28!41y*iG48RslFwcX(r} zlen_x@uL&1FM04mezgfkRJoO)U1uCkuSK$sY&3w~(zYe>PDC|LLkAb>nmqB#W>aXn zV;+;EBOs*TOdHMn=U$xBA}K?5Qbd>zCLL+6F;dmhwCOF;>P4NP_}M(_gdUw|;4GK) zD_O6Evkj@{PA9mC1*uC#)0xPLP=nOP_GQA39wr_NDa}6;`#d(zJPpM@{OVRydKzbw zE!s=MSyE{zSmcjx=5;ya_NRK=2GqR_+mbVy03R}tHsXO_57&oDzzx!XjZ3ptCFwRl zq1cezV2&M1sttLLl`w`yw}NOK;(^-$tgZ+W{Re~oy_m-N>iIt#1p2vd`HUBrB?DLJ_*p%C1t+{l0x;`TMPT#f}+CvOwiPnc||o z$2J@ok$+Osgp3nCUECYUdOQC9tp&QDO+thoZ^?|>Lor@H+v-4K1LRzC)xU;eH1hcj zD(u`C{8vL53D^rAd=+qWoZ~LN%#^Jd2~Zaf{r8YG2F;1pkrrmA8sXw$T4R(swepH4 z=UYenfvPh_fr;r`yHp9QJJQ(|DWJ|vTGs{=v8B<{@on}etgz3D(FK&pgw6Z-E@Tk)rzr@v!B zsOy}eU{ShqdXPAt)kDH=HdK%b0c&svy@xyj#p;KULa4N0^^^VVm3zcdj_^<(-csXL zqolvLAuANiker9fbPxYBZTQ`oPX|6K$|mhs*1DTC#}@?L0Y7`{VLR?LFwh~=M_8|NgE*b%`sC1hC9Qqk<66N znZ<-J0#OhGC~lG6D(O{8H_-3dubH;7w#hoj)$k&!y)*ML$QiQ248xkOvzsB7>iil# zL;fV>tWFhDFr4sev*f%dovex@ouTHA_VIaQJTf1%waSo>8L6Ej|3XoB zuB6D_dwM8?djjqakFaKP#VAex`ftAr8g@f{%ltNE#uul(C5VY7;8BdXuCnIMQkn~0 z+B&;0U}#C6W_`gd1Qd}f1-|sPR1;x^e^H&AK4I*?368SM zY_fo2&uuNTdoNGA9ass0VhcDdyh^BW=%DtmQ%4_HwqE>byqPIDKD582wQ?tL2hrYJ z2bL6@t+5XnE+Vf2Hs+>4(3T%m_^GHWsayPFmRi)Fj@?5QFNjqS7s|J--8y6tvx$9T zP&u2+Mx;kpvX_&vCG(=p=ZN7~_#a2<6JP}3@ zL1GxG9sOS5WXu9c)8=5o-c^v|jkSnm?mWs7KN<3`K0k&{2T?jRir(F#JCbC85NpK( zHySDknWkmH8i|ZkcaoGu(nj2|Y>F8R%m)}F(=B~#x6tAJbPmq6VCGoZChbkEyrIarTdSyXNY%PbxUmwdTdvLIy& zOTaQT>RXbo2=t&``?Ot}iayH*S}X7^?YCF@u=5XGR%5*?k;4eB<-48KPHQj8v#A@& zN+?k%I9@lWy-|=-0cRAdg(Cd4C@?D>mV35rw$Ln7ePzNyNn{Hj#1^9GrM*4 zjz&?$TVqp)TCUqwj9*Y#k-)~Nf!Az|G6SU^vp2Q{Z(aywF1jFT$oM#@*Hq#)oyO$Z zUR7#zgs~Bryw5#Q->9trUGafvf-28QM?rWl8H``>99uKFJkbA}>I-o0roS}f{qZ}K zN|KK7P?fI1Octfrb`{u@X)`3-wZIak=nZzzCqH?6p(xI3Ea36cS0K;tFxnX-w;=qBCD<-pE|fT}a{`*+ z%9M{Q&!~UP(JD(2?-7LEuHAAadPl{@QVEO|PHcdAsfUYZD}3}mp+Tqdy2x2N+50-y z)k?;f3Ld%8lszo9T)}Lo+8OVhN3C?EJcRo%J8%b5zVv5zj~+bw|8`R#P+%ZHK#&Ok zd;R~_KL7un|Gy2+{Q+EvE@OZHskf?u+4S`nCAm+R?TZoa!>tw=TaEhHSplP$*53-w zCoA?mmq-ilD`l8l;LtOC$DJFzSWmCmia?HiJ~ZfKrh`zBBi5L)NfdO*9V1Vpf^%Gl zcv)u&q5!h8S%BqHWTOYx^bqx~bP)dUUKT2rFze-lfUxdwhcb}gzKhq}1x ziLw!#cFZw{zmheuh)DsKfQgf5qk6r(%4k&uw*}?Qk>=Wxwdd${XMn*J5&>4|wpfXs zoRyGwNu;hH-0dIL>^BD`eSVAEpI{L>u}=@cZ3xL)(7J+aX(*DBa7NL!rh;qwSvoDH zNWyC(a`cRg@KlU3X=!&T189L}ZjV^gCAnC~>6H-Ji4RQ|9sSNNR%ATDGrO=&Tt(s#oI;&{b6LvB3LWztF0d(p@2wn~3&T-rdMwTCP_i%8Y7 z8zBehUb5h_QZzXAb-FY@TCxo}J}n~dqyemVgOr8pFIfMz;C89C&RpVaGpVigdd*&xu`_ zmCy}9c*}GK;WT212#1V-81_L9EwiVbo&XvqP9-sD}FtO_vyW>d!u9_(w zC6pJ?Fu71^L)Foet163rXcF7-j1)Se=1ED!gL)k^B?RXH=0${YMJQv~ze}2&D$;N6 z$ovv&o6m!Xknr;I#%P$d1>lDy^y;C z{zqj`Ic7uRdyh4*qG5@^zo|dQM{O!$pJ_MO9XI zly3Sef->Rz1NsT>ijIY;cH|fmCzda9fc_dNm{^>!M@s=Tl-1II!S5L@%*`bTgAO39lr+UERuuCf+{r4nLFD&Y|R9Dhvbx+~zMfFL-Jn>s@RY6cC$Sl;Wo&sCZv)iN>{jDY5&Dz1EZ_4a zNF|kPwb{qUMfdoaHPV)yx_(kQqoQ3xN-P5Duc`!k8^8p`0?#g94-OrHM_`C`@;q8C z9$=d?9`QYAjGYOa_4TKZ`X1}5V>@c!x*&Cs+4W-^6;lp?`Ig9xM?|qI|J^yDQ9!9w zXg?*AdzSAldbQO$b2_Ym?n{bG>c4m zHRhpsLA^&nO0C893k8WRP4!EF-5>*w5|T_CV$#ClZ{GCf5`5xANGsap;D2xEZsTTd ztMt5owx@F(qVdFf>j}(OHg8eE#B1h}cE-IpTi_3+?X=XuFVwB}YAQZrJ4lbi(_NHD z{%OHa3w~1YlY*ZV{G{L~1wSeHNx@GFep2w0f}a%pq~Iq7|D}LdfADgc%KN7Mj0iW0 z=hAZ&wg=R_#IK^u`Bfb~w+(bTWl*6+#F{&Tb%VeiGB&;%N2Y58%57^!-WrJF#K%8wifT;^ zE6SvGcD2dXu@n;bkEAmZXeQ`3u}Y|!WdhBcp&@vWBq;8awZ}bm<%a0dcU#7l;Us=@ zC0L-Z|5V2lVtF8loxzgj6Z>}|3g90RhI?aa)h_^)`}2g%Yf2R2C47tT9wGzo5|ZOn zv;2B4+u3?izi*?4Y+caDecKVEnVhbW;ZK(z+BW|m_Rgujvaaja$y%{(+qRulY+DsO z6&n@XcEz@B+qO}$zIqS#;r<8D(LA5`XjdP-&)Hh{x3MA=Gek2nBI8-+efq_LtJ$0Q zYzn(d!{#O-$5*~lRaF0iI(3BrvQfUZM(pP0D&A@JNaCj$szxz} zj5-m>kM=GB_8)@(5d5cte<~Qvj})`19TA|F7D*S?`WL;sh(JE!@u(y=#B|&p6o)ML zQlg6#VE`8ngO?GyRB|5gom`~`*;Ag5pvPoiTSv*-B=u7aX-GF|h>^G|PJAG|3sV&q zQiQWrNGYq;7nwG@RnrT3WMS0L?stVpdLLLEVG&E{+65S^%hk4wSOiie`84yj?symg zUlE;eFv9V$oRcKCU{X?SttFSjKMo{MTGnR^fAVr(w*x<3gFGrv6*cO?h3d6e=E$><}2Cw+h)u zHZ)9w>>3!1WJyJGO~Z-g_vmw^uidK6qbMCaRIlnA^e}Uv6&B1t1R|JTQSuv!b=6J` zvG^)lOM@R~ITy4IIiHaL6jW$?1plv$r}|61TA#cjbU(w=#moF0QS2nZ}H^Mbcx`2b!d z&KZB}TtJLxKCh!4qdPWNq6Vwvg?z4xxElWK4=H(&q6|YPp}cDZzif$`M0K(2I*$DK z0VVO!+y6yT>J7EaG>pj3FN$e{s%Er^O;kNmSdy!TlpJfXQC2t}EmGFrSyf?$%_<;Z z-6d5hhnE8n&uaIfHOgK0eZw%oFI|-b>`GO6J;hnwKLtf{q#%-s)A{CY^>zEf?4`hw zcz;Ve)sImDQ{p!?>)OZN3@#{!&E*|TU-qqgz8a3EWgJ_eWOb%^A1H6X4l!->jhJKc zg58`YwW`G??DTs?Lz^PXTO!p8Q^VMdZ%vRr3I8sSDILAY5Anf`eX)XCpBBzTCS)1T zp|)j}LFCB}%|L_yK0K4djwp>ylzseIG7Uw?NH=LT9ruJMYq z7$3|>-fIJz!;Pla$wFcTC*7U<5P4%>lm9s zu9`Yw0rbtx&I~gqoq;+^CiS@q&*B~&xHpQ4Mga6Z4LDUer^<9yrkA7SKv@d-jCl5r zJwwGIDVj%}7scS5L^5YYUyo7tJDUB1*J*&B&Kgf<0Fz8~mDEUwc_NSE&X5pgovH!R zxFKv7@m-t>|5V3ucI%|0kT0{o7OZBYpACq*@*PmC>U4G&G z7YQ}fd(}0#qshHJkQf_MzxkhKcDt7k#gWgpFoAW+yR(1t@@MFk)nAf(JN&{8msM20TDh1OX;{DBv{VG)Utx?POF^J-4&m#=yp?WgS)+r;EvQFd z`W<`1T}4AdQS&4X)(aCd8;C-qp^qjU`K0N)W;j_`dIXR9F>d|ByD}lUq)>lLM*}?X znq{a`dtp>AgiM=ZxkfPY@3G{|>FYA3s9JJbePCLiP#RKLG8oKS?i4yOBJj2p&mFSr zOEv2CO7(G5JPH3p@E?NzRPav)kYTI7YJz&*u@SauAVmVS=+5|ahh;lW1IxsXj%%+J zdNF6!)cKHuusEbKeBPDi>R^&AO^HPl(D-Xx3pjJPsW}l^YBMa#kQWEgIfa zC+H1mM7!xDlRhvy0ThJcHjV=ilWnsAT4U!xvN2xQ)2P1_BQ>IlQu*~|NH`m0B}-9; zYCVszqxRH)sM6$aruKf%jRfgaM0fCA|2g$=qbW8}0BbFx8Dw5g7eQ_#61kLkhq!% z{)i%yx7t)amwuHd^lNQ=Mc9`a#5wYW;E0d(4V$vs`W?4f3@^g1jZWJ^80wN_iHiKI z_hbq0$90NW7CdW2_A4!E)z5m#o9g6$k6a4{J>puQaRR|YfqGBTpZW8z*dPC1F z1lF;#WB6o&SA6${jCH)^(Mbe&UZv-w-xJ`JQhghQ(o&ECCx0Unp2U>B|I9`2na(Gp znI8AB-_zr|nIHuaKD<31IPO0-9uw#tI)Z=IRaa#%u?cX8Mr6ahfchrxJ06#sTh`0? zm~i?+8FH4Ns`R9XQLF#|LcU2A()+Jrdv$f;Te}mlpzRFI{q~{Z6m?(;CO! zUNUa?9(Q~}-Q|wkB`wJztNfexSkz&26shH;1s3{gje2$OUo+rBSvR`mC=N34t#wOq z9dF7?`z}hn5b8lhQD(VA2P%IesciSKgeBE(>5hpO(L1*l3OemqRA5f9nHWHE0HX>x z3Tckzkie>J5G`Y;^D`TRQTkOrhm8gCXPM|!4#rO<)5eD1ps^9{LmZ!EleWH4PA z?J1rmk-6@*qYbH ztqzwz{uAP2h?*06t83+FEH)&xaiD448@Ft~5tv1HjTL_G(UW)#mxG93l%r z;4;()y9?{W_3#B)4(@zHyg5 z`gn%m6GhK6evb+*ZEnBPaC7!Ab?Pf@i!(p>iNx=jcpoHyE|Ge}NPxNjso?jsI;WlGOkkkK#S4xW`Hp8EF02_?0PpIuZW%u|vZhhf0aN6Jo4g$Kn^lDQT5H>eJTEOiLKHCD%+Gh$vDQX5kA z_PX`p9HT6aj^i?a3A|el14*OG1sv-i90BHf3HYn(&^9wMSvz7lG>JxZLpW>bAzdM;L{n2sm@9uO@ip`5e^hq=}R$S{;griYb9& z=dW8OY}6+Gq=r&pM_$kCQ;u_5;Am`l$QqEA3}McjeDmG6m+)A-sd!G+3v>+#6hsqZ zgnj-LT!^w<<78}PO$^S)Mbz)trqJV{6@gO5&Uij=waXLhjXZpx(a}?EE1GsmBIN%N zWdGgAa-+(+W!l=v!X-c-DFxgIz0z|4YWq(EfuT-=p@>9 zGlIF(`Xse?n#l;6fSuM(zc={Q8dqk~9tGctdAiQZmXK=fe{n^-3F?oNes4ivqUTuR z43mNCbq~xGxw+EmS_=<_aYN$nWc(rq)q;wP3>YlqIVX46aiTQLU;^OQ1d?-A?!t0f z(w{$*Lg|F8kj@^~Z|v^f&hsyqxGFI5H=(3n*x;X_%hG&ZDf_zVLt95rubn4#Umd0d1%(cWUS4-r(cBsvhWr&{z~CUPr~Y)O#i%b zU73n|jf)}npk**%jY6=qrU07K|3k3jaX`W1({N!YZ=k#$Y*`yZBO|hVA$&T|I3Buz z*@>f@7tmAfXTdaZ8q*f0jA&Aox@+eUz7p>E89xzFp#W^o!el*EInT+b&Cfo$Uwco= zM8Q9QJLiXy9Su(sSM0<8$5uBx(BD7heaMzV z+OR2r4GSy9srxNz8YKe>e&@)o4vY<%OZe?HHSoD89m^u1h>4WrLdJTQeHGwkwky_^ za)MmQUkxOnS#HmG)hZ%XiUyz0rxK;MT-bUdNPFq-$<0uooJkIwCfiKh$XZ&;j zpDTpZw|pI+qli*!;G3qBh^?4+HO>*~saO%4uQ=zEtqOx+f&MBYDjeechlJSQJ+gO;pFLo%H$;^~C&i{7vphPZX~2}!5fhJ5vT+~ucX+t3kF(#>#DD)UXA5`9Y;-(u@AW09DxCec1^?0?On&5ZV=eVy#=Ja<--boM+i!(oV9Vxqf}jIabzc z)XTXuZI^u;V1e)-smJ>*dUD1<;%6qYUku*C?+T`Utl4kR6EwS1poGQYR;T>bUfi## zI0C(lUj09h6kfyAk}%bA8KUrxj_f4cR0DaF4%^Uv*(|2Vg8c8xrT^XVI#psX4`rPIF7$Bm5EXY_$Q4&5G57$@i{TU-Mw4i@ zRQurlC7O?P)vAWIBV0tRV-|#5bnIjb%i_H*_~Q)_z&y}y?NH&;)|Rj0=vOmNX$Cby zg!99&OL-U!{qLY2N8$U5*<`e0ouE z@crtIe_}?zz?b5Vh>Ba!1nMacX;ceky|qB@6l2aWvb5Zpakl+qJ|SmrXdvE;bvpZt zwYx+eB9vvP0YaLB$;Lol$v@&a+!pauutm%)t6Gjzewnn{76cuhjObIZ7C+ROAH=%A zRt{W;>D%D%PU=x^GnI)$tBmioP#X!GDm9=4&9ObapQ>+J{x_`_9D@K&p-{ySV?ZuR z?O;Bs(I(Ive{~n~*h;BY;h*8|jPkD1s%9_O6HDiCKDQsNZ+aJy_mh zw#Hg2w;GzqJy1b}W;ghFNgyWLN)9l~`K>}&s3V5}dA)GH9Lw9DxYLEn-Gq=Xm;E!w z*1g-%cm4A#SrtJ7v5LDaStjC`_6d)^8EcN`-Fs-wI?hsb7R2HS4P~wEnanr(KV_TiP~TfyohP;M7-n)n8jhIkzggm`AS-%B_G!9yX=_l4DMZZ+IyQ{p$VOxYnm5kW=2+^=0WKt7G(^Rtr?~6M|R-b6UKS9`1>$D(pti< z`9__a!gUrZD|AuV0*}cR?$Dbg?}HXkN58Owj(*qv62Rc!VO-d5RUYr;;3y!tb6%QU zLgPZXKUDNnziEbIITAV#?ZVK5!|W}qNyvOiWCI+_CH8i=d=BIbrFu4?S&H_0>4aTB z+St5%Tx33Y<<^y64QHz6Z^cFb%~{`aCKk}~>SNUwE8Vuy$RzgjNft2L(%_Q8 zyRYmm&`Dcpk&$5WvplsTE`Z$cHmWe4hIw}|%i@JQs9I#w(DgG)TuY%@sv^5)~T=m3lC7X zWw`Z%^ijMb#}886L5?=FG@cVG_7SW;y7r}5vV{8&fsE_T`La$QpQ~+dEIHnO?qMO3 z(-uzk#o z*wL(SBFIQ2etYNyv9yYI%}~HN$OUoi+ERzMa-+W%#D-xKl&`mhOk|tjVb0VG3pB(&$eeRf2hzUO?gfsYqB|T2ZGgMVKS|MM7D#1k$+xyvA;WYo|%j*anAM=X=US6bj%CDJ&^0hYc?&9 z2>6cy-@fXiGi$q#2&kml?q=_M#L~$VOhf@@A=p$iVR|f9c}Cuae^NZxkd>ScA0>{q zbzIHTjnpxW>X1PfzIZKNUMbbskclUiG;PT&Y!ExnM;FmB-8+;_Q9e;Spx+EorSdWEKtN{KIx7+!^Pu(;A4^*u{!_rL?SdKOTe zi^fO7Q)ELuXxZ63qLk^^bbbDzxC?WwQixZ5uURVL9mEg8!%JAe-o6HD_!jg zTRN~XuVo!E%UDyjsh7?jsdJ*61Y=T?e+YILrgJmbuK>-2&FbomttoeN0#SY}!t;Xr*2;Lp-+ zl!hwUr;H?f|1L=|#VyCEC2aJBrE4-wqRCHE{kUp>Zu!|I{D`5Q1+J3Pn?EqMhGZ%D zO&~TlA!Fr0A2mZp!EsKAA1_C~-EW>RYdD2)W~jP9!BO2)2>jdYln!v}eBuUgDvK<{ z%BL!D+~c2r_amco{r&*GXx9zN!W7zt0{ak5u@^zQetox4Jh2r;OG49-IpL5AanwW+ z1VY|I%8Ic9zT>opp{q+_5K*%S_+Yb#GXQ7M5wt8%!xEz)mY>@vUP*G}Y z7(RP%#4>MD_q|t0$vYA4RGCukxlO#X63cvo$h$@=Ahc99WNABN$*gx_hXFVJ)}>VE zA^?kz4)T`3S7c8^@ zs2-faK22+2cMrZ2I~v`)GhRr`h4jQ8Jx`8oFP+w75F{lygL6VxCzs9m#N^Vh{F!bWC;ysv7Anru#O#9CG&ll%t*mo1zJ;=tOyJ zeT|1iEeM@5K8_JNm11w$suT9U+yW3bmt{GxBAc+>NS}d`&ER-z@ys%*$C6=~!NvWp zWrEPx;keTxSC&F|lBX4+0|5cW`+qj`|KHQ3R5kU&h$Qy=zPqmKO!VtJ#!ED!B>k@{ zI;fGHWFEwcl5d%RYUkPFQRi&L(uBu-!#;)o*2Iy46At~(krjfhbS0FK{nFHJ-7f*( zNvxc?6HWiR(_MXJ!<@YS=w>DaeJy3PE>#jTb|ZohLdzOer9e;Lq}_C!fIWRWJ61RlxR=>Q zwJMr=qqU*XYS$Tm)4jP|Kl6qt8mntV$F|@~E-Q*FpcMdKyX_hg6wyqC$Em`ECs*$+ zr2*57eu_Rlb9M{m`Vd36vIAs+8;_{aXD?*^>zwB~tNqpW-J!42)7tU=0E)50b>#;1 zE?ryW6HEzx9SJ@ulCNZcu$TeO+GY;EXqIBiSy-s#(v|rfV3zcH!SE}=F5-tE4zPJ# zIx~y(-HX7im}$5;i1KY`KzGVuBp+W)-w^(37&gkZ7)J_17#xSQNCB~Ld~7;^=?Q>s zS;p}o7YkIpudo4Kqk6U@;s8rl|GE_4V1#v%xgC^@LX2f?%j#WMtV#^sK3lJ>5=8s! z+|CUpl%#YzkeG&?*-?(!f9~&%WfvooU}R@8&dp>F%Qz=P@S|jmkq<8#4ELB^?uI?e z>;&9r#-rUlMF^8D`?a{-2qRV~PmF-dr>3OiaW}Y@k_3g|&rlfZ6%hfGaX?4aak6q) z>ps-u7|qAg$$B&yF>B*Am-u6Cf(&{1A%Y{TUMDG+6;WSPv-}9F`rokrJJ0XEX0OR5 zRa4CKPGKfycPsqpS9vHNN*uGvwg@QV043jsb-JoxH)B!(nwb8PBnu7 z`#8%KSMbpOX%GhZ8L`ga8ph04S#8B$rGBeL_e<#}ls*Uh^s5s{C<;NwAAbo_ff+6O z=V&uVf0M4(*np^}=_m`v2R=9(#kdWQ3^x#aBVRNhp5Q3OGLcYbdfqWD4vs28pdnEN zM6v(~bc!%a)nWe^=MABC@duDYI(51)# zk)^5W%pMIw1hV53PN~PrxIWM(Ir40`VYS%-^sMd~?$}}q%-=2)-rSd9fg))j1@7Z( z7^M9e@Q|!qadK`@$zWu67TpQr8m@7u%8*NZU|7P7z@c-VWW#{ot+wUPlM9#t_0RDC z61Ne(nT_;NfZrVEC3GN7lXMu+;>XoXcOJ1wxS08CUl+c*zbU2Z01tfRHgyP0(=oCN zMA=z+)jx>(5L+7Zgt2ADHlCh2*u{yBz`xgs57(amvDA7K^oMdzQ5#Qfzp-Ed237&k z2*frJYxEEP$yHXtC9)adUW7d3hjYIL`}Rn&;&e zrm%IJFkUZN44D8cf&hWfik?H*CHBZx+yEB`sA_@O^<~Kf(mY+#OD;IimN7%sgyc?J zyBIiz{wdUmY>0}HGf0-?aB3=$7aJa+kMr8Iz3jN^tBxQWaTHh!b z(}y22CZulkFBd%ocQCBAmJp4N0m#YX5_2jUe3!j)!aUggk${jxn;a^%LeB#^QJKrEU+J-W6_kN18QFZw%SKoR#0L%MPp)RW+iAC zA}L9*?TAF1L{;o`K?Gb-LqeUItcg(z@LFY@2xdl0AX}ZLL|sw{fsE^fZ$J$>jOOX# zKgO!Gcyn!|S*=8ZEPw4_dbM02m76AwWQ0c4z;ai_n;gRrx=ZKv3W(25xi@l?@O^G8Da>l!E6$>NB z!)y!uspl*Z{wy#LtxS)!I~@cY)zLuW|2N_f_tP>|xs4!e@*dcjgy>TMq3T6#;QWLH z_FoI6W?cQYIab{n!N_w8j=HYSFopx`;Fjnhes6Y!#{QYrm7x~CFjG&|WN|y;2~}GI z8%sOEFVkC~qyu;bwPhLhFkcXlPZ->SHK?>?V})~U9*_%@K-iqAos8cg`Bz0jAzLl! z!l#05!Q)^m>e=lO zS+s1FuQ_Nh6k>NH#dDg&yqhSJ31}8p@T!8KZw%$f1-`SkujdHAh7>S~*5*!d4cB2& z;Z-pkRnYUHqWtsD$Qln zb~OI_YE%3xm_{sX^6$z3iUEw;B0;g%rkYDLg2Jm!e)Z-KAKQczAl&#KCG2nExFD=x zCUSG0#OabJ@d~p9liJpkgPQ4cH>E++? zxU@hA`cUjTjg%@g9D2TD%G2F7uXsjsLPr?jcc3pe@6dI@UaE1&rwxo$k8+XhTxJ@c zWbCBpJFWcv!#drK&7ONlwAZEVi+(^-bVmDS{p;0d%FM|D+m(p9>771H6x5**0(iJA z+N7ympl0MwFlOoqEh|Y;C{Iq)gfX>B7%CV(Ojmn%&lBP2Kh>qHK-RJX(Kg!TFkksV z)Ne8&sQZ*Uv81eS@2z1aC|qL-bpZM z*)ynj^ZZ*s(~)$(d&~{5e7#O!>Ie(2xR{I8Kwbh`E+!JNF#aWwgvp29{BP0U3UW-{ z$B+!}TMrxe%{T({p#FTCE^5MM0dp=nJw8-?V%dJ!qo>~bw3zMJsJ1g*n)DR9N2%sgqihIx(t^^t|FCvC zRVjt#M?%~Yz}bI_k?ATT*C+d93jl_D$P%;Kr**ITw3hs+N_JbIT`WP$I@M$=x9Fb~ zdjm7(FdzQPdT~g`|F^e_oA7)AG@>T`w~^YoAB7PNJUkAIro1ybrmtj-?I7*VR?2!B zdkQXqE1RyzIzc0y`5PYCl(Dzs^Wg_rjdc9DgHe=0OP(nIQ8@xLbwHQ@_@#+zu`GMd zm%QF)(n=>EyB8jIFrTUyHpA3snL>nEz*^x>w&f?^-U*B+rFpX2F{+} zMA%G_v_%5}pxi@tw@weuIgcAAIxi+arbp@4$UqX>HfrYHt|ey%5ET_Yu!6W8%Z+F4 zRclK_w|ZH0K&imTPS5nF2NTvH1JHCqbu5lYHjBnPCws+J-y@WPnoeO*;fHyorx=A0 z;BainU9t)s>7;$GhzVHJmrJ~5x z=A`VGjm?pYTjVnXMj(_<)ewLbvqbgMvZmRz@pAfNP2|T`aDpqdtJ7BVN_2pgD6Yx- z$P$yp1I|dsQ%K$f4gvqbI!Y(g_wXxXMl*b45R0nWZ*Kjv02=cd3Q8qC_V*z%JH!?A zsfZ2fDHw9#R>`zxGP8B!cS1aRXsVCs1<(AM*iHF_h~A*)`M@!;$~W}2{7)IB=51+p zX9L2UT<9oXb)Ig@?1R5cMds6Rj5Sx)Q!&xM6?gS~589Dt8yf0Dn;3OC@T?`2m`~DS zfw$U=D|y2GKL{NK&Pv4O4oNrN0J8@bltM`yWnv=ucKv{NwU)pmuO$4fc zV?bW}PSuw--|bbvcVDC~;MdAWRbjVgoMBBiOCCOub0%_Mfz{*ikQ$=sTOM?I0mHIK zg0!RwfpJlrohl9$dRVF)V3uG36;K@llZ79@r4gw{`YYX||5j>{qhS*+WLWpn&F%tX zP+^tCP`T$-y&v5l zc|Xa*Bho*dN^5axz^k^T@xSiHov4%6t0MRJ-f5&sSVqVq@{^G`fn*SWVZe8@%G z8ILimDJG*1_pE7UIVyES06_xDg$R$+2Q;UZ4BursZP7zohn#lzMv@7`$`%AXKq&-A zTo#9R-;2++j}2#}KkKC-DfptXN$9pED6SYhkwyQEC~|A&7<|iIwj+3O`Fzef@prbU z|BM!iV>;2|00PT3FN5_|`|x$fbfQ5y2a%Cze5ygn^=Ujwh*)=wxgh8U`S~jhurJ>C zKiRxjl{cC{AU7*kiP~1hq8GX`MWN{!B2awd{W}-TqALHUYEjRN5^z*V62V=@A1M{3 zgTn($7+2Wo5RBy2zWFZ2R|xf!YU2k84z$rN_-chiIWO_+q)^B_v?q|pE4z>B_~FOz z7rR|`DJ9~ZVkyTqCD=iY>w{w(7^S##gc_<&b&&l9fAw{Zpz|b5tMqeb3Mo_ntL)G~ zDq~O6h~(r%&xhdKvAFZ~w;Lc{#-4 zArm>cs*EwH`VsTnTt_g7Zd1i9uBU4Ne4w>)Z6Z77mDd;~lMpu|{S^JIP)Ur)u=_Ng zsbD-2AVoiq*RG~9*{2afxW4EO@&)}SI&jthcaoJPuyDKs0~niOz-AiDja?#eki#er zNvV*dj-tN*dhcO)oarq62Ki^CBJ^v9O&Al8q{E(!GAPQ1Jojdm_5*)0@8@wB0a)S9 z&G#Dr_G%f?7JqDHkb}==?ca@akq3%>0`qRMIyxZ8f#|G1eXY8Ci|FTTge1;y#6=CQ z3Ry2_+^_Egz&z(#245jWO2#~lJvB!Z|(S#(X<&tUKdUnrqha~<4Ungu8(C!0`e zFm?~+zi4BKIP6w(8S`>i@!muhsCTqLUUi2(C>|~8Z+8eZ026J&A)uDoz))?d7785+#ILmUFnjMa&(zYU%Z?ZyvFhx~KxrCnyg;e-MdD}Sl&emQ#CjQ@^9Zc8afWI~7 z-!aICZ#AWu^^abUp+WK>r0rC#+~fT;HssG@2m9zB4b^nt zRKyDI?IQH!SWc6`-7(IeO)CBw9S~!A6Hv6m5!oiw+gPDq3I`)3v2}m=TEV-NrrN6& zaxj6$jV#`%bUuab6hi1jook0Kb`!)R{DS2HKnxJ<7d1ruNZA33lhuz&-}V@nzWtnN zv-)dzX$v@OV6c#q2@LqUzs3VAler|Zg<;RH_Rf1`{hyxVZD$He2D89M0!&Ka+}JqT z9<;aHWsIRTGUNo`q?`s$u~&jYT#WgBx#|uz`~9ydcW{Tad8}*DV14j-O3#y$qxf3O zCZyr{AZvEGrP_*x_k}5eI~TttF0g8?zs%EN6E672^d-9nZmImB|HOs_d=B<}R1U_^ zHt?X%gz3HPx_Ij^Mze)_q8xVx^f(Go{jfIuqcX1vn(cb=xTOXzXWO$bS8rp+dZVjm zS;FfH3Rkgxe8uZ>wzW3D~Tl2-~10Q5)gecGkYse<6kzWRM3p^ zNr6jC?;U2}9xgtdLTGEG2rW5&>&ERj#@W>Hw`#RohWp<<_+$et@4C@_URS(F7HGsr z$bMTlhX{_Z`{35>nK0bem?~@g9C`J(RsAN`;n= z_1zc%uUF%#rs-c0=WFNEqRiwh59;>K_WI9-UoS+{9dIQwSnLqx21$EQ?LZk0OjKxUtpF zy9aQT;$Z1*E}E$WdvCt){LG5@{`na0KCunQg&7(J9L%}76Mo}10I zqIaWDI5xERGZ1GZ>#vw zQgmRo?%O4&(x$4r<(d;p((sjzdnEq`H=c}H??L5QdJiHCa6-BLm$wPsnQnqomf~?F zJ=Z7klA2fS;bg#(bUb7zfLW6<{zLoIU>B!6qj#ZK01j?PXLi&DU)Bd9RE23%1x68L>Kk6*b1Inc5P#-`u((kt65j ze^l<@ed|ju%*|ET`vlT`GqF>k)y?d90x|k4YM|^nf5}grSrL*6NZ1oe*a{wj!vT2( zF*GE=+GH$n`~Dr%5M(%0PQ2_3C8^A0gCS}f0<~}z&j(_L z32JZ~p4vI&>l80ZqkWT{>TJ?Az=VETo*vljUgIF4$hrC#&rCsNh}77!2C8Zsm%>Xo z{LxfGcZQZaYo*TGmXcqK5`h!4JCvj)AMJHDV9V~btJtS*#+x-?cqb9zr-h&)OQlcWR= zmZaKHn8T+}$9{6Y8QtjNnd~G>A~<53?{2x+POV4)CT>p5&(GDz%}S8XIDyUr=EtFx zWNnFx7FeZXRLw{aymbp*s63o)+cvPMe;)a)x@EX(kP8vRS6Y_+Me=G+8=*;$mz;vi z^{v^BM9YY5JEEA zxe7r+0a0RZV-*xp`YE_ePm5RQGJ-D}tqiadT6x!9H@WmU;pSFmAO75k5S6a$oz0_W z6$qehG=>u@TQrrM|ES+(CdhL?ZL$yoCHs}hx{{nVS>^6!xeCi4FX@ zYA#>{8JtoH14}vSr2dhJ~jW%f@@}EZH@vFbC z?*(e4Xo?wJAs5wxn`#PZNH+8)-|60UiDnr!tQ=>HR?zo+6`oKYLr$86K?DE`u(ibg)U0P|%-`2SNC)lUv0! zfYhSn!ye>{TQsA;V;u28An@*BbSj2y)w-;Oja+XmyrI^oMaISjN$+&?Wc-@&^EiR1Ee}NmJE8qrc*6?HAN$$5J+UFz0us(zIvPa+&^B$9l{=|1u);W4 zq_u4Ucho8f2m$$_j6ezI)l)|d2;M+cG(csWswgh#^%w^CZu0TNi%)DjX^8NzVuQAX z2FQ={q2?VcExEu;sA6~$t@wGvUb>qNg{e>%c~43g`ELp6kET`^DUDEgPu{2{u{roLwPb^aw!*q@nFp*`t=avyW zC#H?yQ!&6|)hSl!$5S5(WVadr5`55~PBH*o)wSIyAia`!7^uR*U6_rdqutprDnnw# z$k90MP2UOsVx;Uq4asxBsYT3XU(14leK#Uz@h0`z6UM`rbGbtR$aHgd)KjW0rE=P3 z9m-Nb4g|RnKYTe%n*5!QIurK^V7T1G`|At!!+!RH{b)m`AT%=|GOd~_1#6;|^4Fb2 z1PFH={NnU4JB$cll!!fx!5~LTB^0SxEGMFr1MM2J1yx>k{KYou#NtXt@c>>5b8dJ< z1Y0;D2Wl?;x9-D;mIN@~>gO>Af_~IM^ILfMJM_*S`wt+JJg&m0r<&yns+93X^fYn0 zIQGD4aYv(EoYOz8n&e^p?)7h?{&3@8CShU#TgJ5PZ@=L3m202o^u)#oM8pNr2(Zj`sdZrFsv9hH-b|L3# zl{&P+7o$>K0WCUlZfwA1X$`2ZmQ2GhQPp(>?-P^xx1*B~fk1OL>JzF~nJX|bRRZjB zr5m2tE=mfnlDpJeoluPKacM@O$r8t|?095ARMBx^G>qv3ttFCdSWlnvw)Ol>=_jB*NAo6%?>9O>|2^wg4P`E(P)?JVy#2>@xz{6iA2JBe*;qxhA9gW+bpBp9fAl?kX%fj*gfED#(x;xQZ* zIlb%~XIzapj_4~Bv)AM>Y!YPKSQk(bfuw-Q4gGxr5A&k0o5&p?rZG`UAuV6Yu;*~H z{i(c5YYqA1GV@LCd-A|6wZh-h`)2)pibs3NZbqetAY+l+iAtUavgVd&RKlT^Kr>N-xj{UJwNY%ZMnv`m!C&xMsx|Uz+hsfqwW7rN#pI=YA`9DsRLlrYpzJ z(fzsN3%VaK%q9Z|J>aN?Rt3X-FF7oTT*S~3iC@v~AAcy;ccWN#j$m@4E+Wm6T~uHI z-2CU}Iq)wXV3`WBSL1{q|6qe}4Wz8>wbDkYty7l=&QCc0f8 zKAidT#{_RS@X4zY0Gvj@jak1JvUIbX@!-gl7g7W9&giAfNEkTN@X#frNqgOS!0MIC z4JP9MSpoze3@Ty-GChZPPLSn)FtEENPy>YW*kcreVSXD3WlQC{gtUEpuHPONQ%=(M z!gp0I<>HC%;Mk4nxoMdPamxR6CDsS;;{wxDwSrD>JEOjA_n-s(eCZ);`QTNER(!DA z4kqWSu!GiR!!imu5j_DCGan(~Hw9%(jaO~vdC1nCuhkJ|3LNZf?t6C<@d;81x&0q| z=d_&*6C}{&i*4JsZS%yojT76pZQHhO+t!Ia|K+^F+)O`0uhrGvRl9Z}VFG?$EaA|0 z6{M`DgAiunb0OGy+;6SBi<_`cM%lF34S`-Yv!hhi8C>guH?Q^gYhf7Mxb$rQETmiX zxINv~v48`dk>I~kN*Z%jGjsRr16o~4kn<-`G889+n^u1yf#wOv+6q`f9yME0X~~Ph z_oVeYTJe&jDAnP;`AW<0G2PGs1n@X zY{?a+E4a^dXf!O=-*t zzH<&J7VhYhwd1xbexxDGJxA|?JQ^Z8X`C>;yY-}AvsvC40X2pUZK|UP9bhykKmwB& z7o>@3*0+f_C+}0JTI<3UKfK=Gym~K!3pC`Ic3__b^)NoFn2^&{3JeUXusBLewJBB` zGK(4i2^D}r6vS+30I%`~ClayX$;@fNzMkgpZv|sPF|V#AfiL1&cDC+uBV`nlW=9N7 z;lw?ae`&|syF|Nce3^^$VG2E<=FAT)sdjG?MzAjS3ye!Ep*88}S02s*Hv-_pZj?_c z$>tMzM3v{ZYDd(Q_p3?o>{el3j;2hQ!6@?j8Qc5qq+sK0^H0+bIGJr&lK{Q@@oQi?) zfbv-te#*gpg5i%i3uH(l!Ib3{_6jRu6oa6(+_BRFI=&AMe{6`^`b*}i{t?XI&=(Ms z3W#2o{FYG+fgTi7u1-a{h!C!{U8I$;O4v)HsCW+Yr@+TY+tXx=AG{vm0p=;)R`4DX z=$YcCt4ag%c&NsphF)B)ID)bznnBJ!=eZ})$g#-iDZB#CN~MUUBG`Odb4ATviPl(d3JwGI|ZJCUITOS@7MASiuED{n3;(>87xcyG6Y$oQY|xqWr_MSLXtwSFn^_X zZY6QTy;VqxCPx&wqST~vkMhB)_MUm}T83JWBlmMFIX!K)_{+5r+rB9rz=#gmS*;uw zA>`hj+Fl$(3uOF4k};6)uRbJ$dBK4qgplVpMQRC^e=S-S+_%|>t#Ai0TzsEI5hox5p0KodJ_bU zD5ldg(JoUd6o~@&lL$mEsR=c*9}!|{W(}3&tik{&I$oZs{J-C=pZZe5t%81s!ww9v z1WmIDP#J4T-8~SgKoz@^_}g{g5S6qtk$Y-|N&K$xKJ5_m(CxHj8{4#ceWq@a(no=ArCSTchC>%CS240L}J2QFQ zcXLn#fD2;k{D|aiTv0Fp#4+j9xF16Jm;oT*Wf1ptzbJM`yKg#W(FZ4wr;|00p3)-w z?pm@{OoSOrzYfnQ1F8Ft3Fu}7`Ax5YmGnZd6c$DF7I#ZE5O6LzN1Q-4Epyesg7St1 z5&&1e&C!U))pivb2GNfUwqV5Tm8xA{s}2x20|Q8oWFjz&dC(_b$Ju=>JbSO-Y(dyk z4iyy(PUpxqX@ew$x6?M?1#iZ^-Z3ZF;X5+}(@0XM&0hU&9n?E@OrQoF4Yxq-Kc~(C zl$)Bng2RDPiYY8bXv!~yV@kNTtDdP7o8Y;Qe1hKDnSe_B*0MVxU~Y;Wh=EV3p_{BK zP7J63KZ!Yx^j^%0WQ?V33NGuR3i5?!Hr104#6=V64}G4*;tNrGkHOYxFFBc0W-N{31Dgn=8#?Q+fiM|2g9PYdHc0eo%M`oliw!e9dX zn;-OIgd2LSA@%63-+iA9IDjOGw`X|9^IMOMvYs{t-o1@`hce0+}FaS-gzkgb!qLt9`3f9AVpITBkXh?oT_~1JGrkw8Yc3%-l;z zjerHXQ|`cd3Rw!S8HK6vw=A%oNKk?#aBw+6sTnYV*P0ivI7H;=94A~M1M7TU0Jxx8rO*o9s>7BA0hT(lYLLeK4WOqo-o(t$_7WK5HiRn;euT7#*oz~!#ZfFae zzsP6}Se1EFZ!I$MM<@7zUf!8;>eB~#33FC}umGq3YIjB^`th@&yb%zXE{qYKPx4w} zUN^*ww;Hf!3iDcv0~p&ZchxAouE8?_*a$S4(Nji6c)&@}N>5A0yB6 zOr@Ha(Ar0rcq*?xu8BNov+&yYPOG|nwn72oW?{s50et79vMLXc7;rk13P17MND$HD zY<7U#dL;YmeqL)u;N& zN&=V}A^|G$bvn*7ihc2cblzGg${`P7`#~5PVvCXx*`t}oHb=v{QVB>)mk1NH$=Eft zD5s8~2OL)v!|1}oHpu#BrIQL$pTOx3|9<+xOGm|0|4+&p@ zFjt32eIDkzNB9dEnZ{+SGI%<)FlTiZ3nz&*4E?4RKF3`P%=odTtO<*~t;QrrN>cOrWyed|)Mk8JxC}T}${w{OFPb zo=_Xxu_sdB$lTmbZ;fU$hiR6e-E@e$#!5Eh{RSD=aha2zE+o*S!wlY3yhaKoDq=QyY|Lw2WEuw5JuxE&*dUL>UzXee7Z7- zpJgO0b4wQSD)ptP#J>6fdoYK>?W!W@F>!9 z8n4qJPG%Y(=1r@3^OhkzEwem@AVk_CQ&1nSCh3Rqy@t47nw^q~76M&@zzZe?GBX8< z3ZT~4*^rd6Q2X0+AjE|}Q{R}MfI%C7_#B`Clbeud}QJV&}zRR?lReo5Fvvq zWq63DCci+8v%CWj8EGYDRv0d-6$kv)O)B-`&-xbA<*a|uyG z1^;+YSq8^!8D(FsXE6sH~bB! zat-;vI?RUwLx*|JTL$%Mu2GO5suR8|KM26=dBks4s`aM)H9)~`=X0&L;YMHIq1u)@ z@EDi+?vf@EO#tk?-ua~b$(p}`?|fLEAH^Zr~%(i>94WQ7VKS=;Y~)$2HDFNbfh zT>nLm7oW;U!_~$YCe+PGKw$*K&WneFBIiUIbaG?Qp>^1{D(vw6(cl=6bVq8qLfwi7 zFoqssNuBgoT>F5ZR#h7z4I*DV*4yuw6O3;(AfQKJG{%=@c)Ko(!2(IHVg#qTsG^L) zKt3R56YUz`1V^#Q0!Wz*Ny*I<#OL?8q-NW}ZF8o4ycH}0R56kH$zEJ+-6ye;IK{fOfm5Dz;h%9 zpt@^ZVjFAfxXyOFxQ*jLs+}T375M|2%n1Pmg+zt82CqiCO&oQ`Up(+mfEK98mdc(f75saU<})}lgI$Nk6T^Re3F}VVc2g+ z7yW|2V(bg25TP{tp7j^n^))4M7d|9DlGmuI%+|~mCY)~l)S@pS`YbmjjJSm~IT(MPeW^{lcN5kO^h0(vSA=s_- zg?vY#S|WuPl3gy>%zxjF9>Q#vF8SE!6b<3Aq`^raKd$0EH;}C(CC@i zApVnuE=bMTpwTN3z*+zEkv!xtX%*|^E+(3@M-#hVUoP~Hz=c)(zr5K_{4wNOut&Kv z9XgbzJi6}^h%d1`Xn$+w;?9bAJefKdWWeqlD+`rEf9}+?kl+29H9n#~+8Su^nvYDO zPeT7Y5iJ(lB_@^&4@+^kiL>iK;i7g&`_o1nd%_oHhA`F1qqkJpPowm#Z*d&Q~ zWY-p<6n?fIvch6pa^jZ2B^#4e78q0FS7N0#E=MZ9XMN^571=5qGj#&c(<4>y@ad%-=l! zvz*m>Pp-NHQ5OEJy5&A=@&Wa0!6|tkP$`6;feGWK;VW?Y3#z6sQZajEE1CseKsb7`3RLGN@#mE2< zRgR5UQ~7FpUoLx(OBsNUPqc#(dhEvzu4Q%zWNShZ! z9qT7f{DF+am>#VCQjkP)0A2U%KgjtnDmywPatoXF>PcOiY8DQjiKE)i^rg|%dxdcI zq+|?#^{=j_gUsW3;9)2enSL?uJJ7@49dyDz{E#wFf3JF9A}3162uK#)d4T|= z33tiqt+4QxYB||*GJvui%54hNB&&PUs;;y~Ti8f)f749s9L;BYIvF5n*h2XHF<0`K zr}iXv(fVy%8CQS-I{C?tyG^Jr}(`~pPS&Xq;lGpZVhyujRyjJ}M z7aZBXimIa31}lb@iHK#uks!UDIis?WfFtH|D$1^NJ$mLG{_3}F3(|tGYoV3Rj8T|! zIszy{TnWk4vw$3AG-X@9Pjh1rqxU%A6B4_55Iw}v^N=|TOn?fU2B*ZocMmKMe0>1TR+QPA7BG*3^Jey4@tnL3v~)bWg)6uWQl}6S8!4V(=sM%oDRUx zO6XxOF5-DY7U{GCjh=*W=0*;?)vB@K;0>YbFaW=ncgh_N$-6Fm&eP^HtlvZWtkZV> z7vysomyDT=_lF!XFoj$LGa~d=!ccJQYCVMWb_Yr#6I*-$T=h~vT0#oSlm6fERpo0A z=jH}(je_HSxgT|8P9u=-ogBgsZ~s7iXzIze@ES!yhag1y(8oKvi2LueSZ1Y4(B^y_8`#*ifJPI&c6z^nv%AgPixWPu79;FLH)ZJz`N+p_gC zoU}A%Skan(H^Y9CcF|XYjHXnwYLbP1j9k#TP=f6xMhM10u_y5ml9k?lY>=cr@I&;e z%`5hD^cR2j7|BF&kiPD#uhz*O zn*(buKCOC@h(lODw9HzW&_UmZk&2F#b(&e5!bYqn7hX6TdnPqdv2E^2BDn8E=g%o| zueJvvee<6(%>ANWh8}Q}eNVzokVZYLGR&!UP+#pBqTB_?=hisf!(JZujyd&_EH)g^ z$dn($JY-}_x0ARDp7etNg*>FoEdTL~*c?DQz6e{x6wtWRnK=Q`_qtyTmQU%EJ{>zW z?>vr5$jj4z@W~_0g>mjDw)e`;W~Wzip9l!BuSL_#DnvS8KmQ+glF z?GZPd{xNint{F2ba0M$8c-34a9b#%iTh!cR{M&rD6TlQ3!$3OaFIn9)IcB*<70}Yn zgIlu)n z)sx(-n$Xuk){<2!`$&mfw^aotCAn|g9id3LzCkwFVPrE7^4QXz7@=Qw2twn*D!#S? z&d6-FiC~y`M8t?GigK8`x+YHA`*xxNE7Qc$WY!0P_)%MPpS8$SN(~I%8N5Oj>-L}> zG8a4|pBoDLx@}(VLJ}XuBVL-rvbBwKCES;E8-_6s)pdG-FEwgqY~-D-L%4WzyAycX zGY~}F1}}1RjdUBYZn|#QlWy(m_~cX{wYze<5)mbDFdYsdq}b$ooj}11Q~Z$?DquXL zhjP!61>S|JGn4~y9>WhLb*A4IrsoXxx9Z=q+3YS0kPPFBWUUe?FP{A&&_frIZbYwT zl%njH#?LR-_j0eyXAZ8g?OJ}>pl@E)2cslod&e2p;NT>fWK9JgetIsx$S!lp5VZ#;6FCbLS4Piv1w? z&;xBs`_XzDP9e42ygN(Xmg2b~~AeDpk=q#6P# z;sE{K@3*-J`%ED1xGF_&T5&zu@!aN0gp5xgDqeD(o2oc#`eht^+o-;DjY6fP3y<|| zig8hH`1fY^uwob#zu;Sb1S5IrQ+=Y_MRTs+^nU?JY>JfskW5m=Y-x4K&)gm zBPSg~dzBN3f5m7CYyH!qy8;QO4kMkE5Cd(bBWliP#JH1scGc}g>%FgN=UX6n>j*wY zyz#d;o2s%~9^jzYuxKCEay`Nte4{sIC8M%y|B=+62t08R7G>x^xLl6#4l; zP7hSP{y?*^YVAkAB`z6vr-20xqhl-Sl_ji9zc)x^3&!a)(vAhWsY0$|)Dmy@J|BhA zfF&)}H$2-j98qzHPWvI}kRc!x(ZzOUJu4SPtKOi=*Vn5~q8`gvZX;82vKBj77^>6ivEO=GH* z6a<3(4G5c3-kBv3O^XOMrX1eV%J-N5Q>;LT)G1&+Yo`z0C_+KF7%g{WkW?>lvc(XT zz%>reXFt{LMRKjKjnjj$!Lo>{61q5_QG}3{8lP$sGJ&upCYk{+Z>*xq7yk)MgUh-c z`Cq{Q3_Be4;o_*X#1|y>rip@@;bQ%=ep}I`S!r zgw)a7*|pAYk>BJt%rB=mu^KNFZ5hWF1(h)N2&LFhwMQxL%VoUIlc-=kkB=SHUhlpa zD$>B}b8-ABtz4;?)&v%2CNQmxnRe9yoRXn{0r{X0Zl4A{W;^TlnWgn?mHkg_z(qyA z84M4Wp@GN@l7hKAEFq;D^o)>Fx0<2i(`Fu!O&dd~r-A1rPBrl_klg-ohC=I| zMM*CMTAe&0FR>T$KZw59F5(a<%$T{ z8;JGD!R(Cu1jE$qmvjsfbPXCsu$QUt@MHf4%n@Rt6x$`Qy9uD%7;1c3Cz4LJ0bz9V zuAKkCG3%}7ts;3~%~j@@Alt1fq6euMWMLj9$)w{8%td`-^il|g5mOf?;HvX(5!*9$ znx97y&r`O6PR8OG<2T)v*iV+W4pPxte{aGGLV1h%O1q5soBq{genyBy;-jc=Fgr7W= zPb-Ci>EIoTR*rnB7J-|Z#&j8<$Y)*s&ofmX`KR1xpX(o`0dDQE(ZtDlw<8HOKrD%# zuXpMOz(Gzm&BENov^!!c-*|bP`3n6Omr@1s6)eq_N`mOTsa2~Pk1U=ZBK!}36MnNQ zE>l1jZex|+YA+6DF+r1tlTe@yHgIMtF;X|Y&rfOHqY&Lr7=f7zK@@$ie*O1`titaL0 zdor7kh%FUBS1>El`rB!DG8F>~Iqw;lac2-pJON&Cdc&+0sFl?_?g+;#gA9{;abE7J zlJp=iwHLJS$YzHKB=!%1tQpgdwW0l&%Q3g$6e@de)XpKRmDT6T8PxF*HL`AdeU|L;K7ASO$5d64sO-lAvg;SctmUV9=0vyGK=W_ zf*_g^>EjCtpnLUvWXYmKJm`867y!gRKyy9LV?mMBIdmGq?Ar(IzPCBX(od~*&5SRt zEKMRx$Jvx=n6A7Sx=)TcP(k~VwSSL_Pt19%B zX7&NNZ)MhL#%+w&)gG*?@0m^--o>#`IEbk*wW)8hK29q6A%hL^!Fh^Gyp;e@VLJ_z zn>qu^t-a!2ktmM}M_qyLAodeTMB{*w?QlqIG+2y2z}nBuRodgkS3&GrU@%sUUaJnX zlBXO~aY;%G@F7JkF6z-UZ?{Y*L)UONoR+v}SgTe}6ey_WqdV;-=ThNzKQu}jK1ZZT z;@p}xg&y5}=?H?0&0?K9Cxd^623(e0Zv^dhbzyIl+24xc%jx*i)2q%!mn5ShIH+ao zP%UlGgvL=Dqfk{m7xz6C008PQ$UE>s%x21$0(QCHPC_+U z%_q>C+kA=WE(|ZVIw@vwG7i`X6fT zov}UOj)!C*f&1$}MbE~HV_(~;*R_4_tE5(^P)s7+d0oH>Tqnh}r{3QLRt+3U|8(7Zix1sn|`ag5)sPr1`1 z7t^PmkN3xVJ5HB)hoF`=<#=J!#a`sA>={7bVLV*R3549^YB9F06@0s`i0X4 zpf17{R6_^0mDzj?MbhbXw%`Z;o_duE;87zQdyc&KB_q67g@wD@R} zbkA^=1R^sNR+zJ{$j`RR`P7VQVfqVm_UnN8-78OAC6rhe$HIf8*p}e;rk#i-3C2;!{CFaHf z&s#W|{*0(AWPlw>sl;=-X2dZ9wFD0Wp)w+gxYKe!9Kwq}LJ+8C6zM%*#x#6j9`sb} znmxP-tJ79cWLxC|2cR;1~?-2h9ZhsRNKzPl)tQz9oMQN(uWqhIMXTkz>A} z^cL@HE|iu7woFr7r)S;|%PGv%0+9eXr(Om2CCD8W&*h*nxeQ#*R1VexO9yp0AkjYG z59|=Lg2ea;`;E3e*;jUtlr81X(Mpl|7!xDd0%i?f6;^~`!;`%Fv09?s^jIt*6btyJ zv2~i7PCXE15kg!y7Os|9zwwnB$G7F~TjhHm%ns&oDx~r|yblDJn6kYTg7Y^NRDkRS zZ=q?GCh)LX(LBVOc^1sSMjV4TR+xDPSy(F&ZM{X#E(HVU7o!R~m;UU275rJNM#hCK z0G=}ZLV9&V?AT8jU}{e5opmB19QI@`J=G&Qsm{Mv&_@ssnia) zBqNbfWBHruDhh)>d{`Q&5u5d83}ilRm~f<=OCxV+Dt%{x3|L0u5;V%=g)fQo13je* z@QO;C3jZ?vjOZ;K!h{5;_!G!~SSY><=@_;~L5_Pf==|&GS9a~X3aCY?*)65dVe?P4 z&r`IU$`#b%!ciayaYtLbX~-g`SdPv#AEEUi$r0QB^J1+Sc-2Q;W*>75lbQMEzcBsSk6TpL+ zapg-bzIL<^uSmJ!gYlGA=~)ER<$>nuK&ianLy=;C5u!R|EYwF*T*wep5xFlHMOMpN zB??z1gIv-(Gbba5AR`ml!lk4$o^p0(Xm@EEYPBN>P}Q&gj?0|%1a;zerA5RkQD}fr zP)JM?n+hB)7;}2~`!+gFM5M@44gG3(BX~id|*!2EoQSHGu*`M`w=|Wu&D~ z(QmQA(sQVrx@^vwu}4>V;lqLF(;rtr^m;!{%WiI<;-~LuPR{Xg6$JITt~3PNuLYsy7pP_=j`1YlJup(eae}{KD`iLfMN{aW z{f_&f$L+%_^yk}sJF+KKMGx5IAf8>U+Bd2VYIb$0HU(JzYp!;sijRx^U>TLg3br8} z#P}QDfUx2(TDPb@3GTxi1yxUtIwNAojp9GYWv1)-0lFJ5%!1qH8Tm$t`YM1s>$+0-jG>3!|Mp zCE*FE!m;AB2}QrRDc6_E)c_o@B{)f`>C}=R8ufv_emxZWJ`jMu?xUwz#%z{+xwbZ_ zPAB?7b2#?{we8?G%Y2qbGD49gDcYrldBqGlzFs|u1+H8SmIIDQUHArz0UbFbQY}$( zed${LODbgMiy1F9$}ptmL`vm6Jk~!%C7oE4RFA~J^+C2V4!y=xVvsXLtHVgV6}PFM zhBOfh0rqrtRfKV7duI>xxbvX0YSix4~rC&HF8GfHSdCUe&&%>3SeV2wmmr z)RiHrffKc2vexh07du5big3hPHrI#qN~6%mJ8ZM9hicpEJsKn!PgMDRM^UjJ!opkm zeu$dgfZDv&ajF?HQ+8iTiJ30&Lh9}Mb(2qvqg4?#wU zOFACVHPH-Ai@D2Ajpcss1* zvr_+4j~pui`J_Dh%A8UWE#0L-1;OmQWX zY5ej1h$k-vT_5FZ`q-1fxBiL1H-UP*QcD_~+NeqKWghyEs88F|{yPewM3+3Dlw=ws zV6g)y+)?c-G~~p-J;&ZZ6EgQbF%|t64Zn?+Y4_{|+meJ@{vNC6xbfxY66l4#TXcIO ziEOZ+ z=zcnR{Suu5M`<7KV9L(MWU4RyRc-n2=WH;^^i7XgFA1L{9ytk_ht(B@mn+caM5)a> z_$Vkz?IKe6AMbud!n~krf(c#ADbf8y{=-fF{B>du&B_ah1ngUQXM1SMqIm(kVtpgO zJM54fgH34i0f(wSVBq*m5D8vKsgtzTE{JfDxh*Jlv6~eu46Vnx8JJo<$1sGCZX8Wf zJlc619oN46D;mI#_Fs$02*CY=GwVGm<4%|lT03^*a7Mtylm3psYc?e2-SWM-q&a>- zOr;v9nFFE-&QJYK*n0DzI9>N4$gwe{sF|xXS|^tq;LSy=BS(Nv(-S9fcdt5r2klsp z=Ski;KhyNO{^n1L`Lf(JqakHVnAy3q=h~_|qirAm?QE~WQoYmTk963Io2*fn)4!Wf zVhqPNtU1X;p8{iG8KOE%z*r^E;=d)@C8?Qp%a&zH^`GJ5|JVQF4wxQ%6$T4{TwBNW zonIj1y7vd_dLJ{O{2Nqz_7xzA2Uri6$cU`EW7s(Xn}-l&1W?KLy!OcC8O}6(j_pHK zB7pfc(d(CaH!9qp*dwYe1lYCo1D7=^NvR$+-LQ88AzVkS=~%(Lvs~v!*|eR^TjoczD9io_wUnLsJ%Se^i;PP#j4;#0iw4NHnrDZ zECt$ZKw8)bto%y%$U5o@Bw!exA{o_rAx)}lhZ2^A2&K2g&bz!t{%$J9c&RcKf1O(r zSu$WiA|XA#jk-Q7p=vpx7Xu0gJx~4xI6*!Ai9_VY(V?3Zp$q9kAe+gRdzQ5mU{d5$KT;vZz7+wCw(!CLQ%L`PlcNhY_LRZ2I0?9gPhTTO2_7Rpi6>aa zCbal+aoqeIl{ptG?u@a7_z{56K=Hu1X&UX}APSA~Zo+cV0+OAZ{)bd0S>JWV8E9D0 z3?d&okT6`~6*LOL{n`g?o+j90=n+#*fD7jOY-MA_g+7O#8*UW10D2tLcv5dQ-wq1@ zld=HJR2+A^l8?KDkiuJSpIH=xcRb1qWF3S;w8wcWw%x5EDkM!??B_cskwvm(qx zhMn+0M+Wer=4!vTAf9u~7<(lb3K}o!Emv}j$Iuz}{ObvPvJm(wk`HcCLzTaD?T6gBMXDz+VHaH$Ujj7fHDQkcTE+_&3 z$0W8X(2ER&c2!XpyTgcN`AvgNo92{NYt4O>hcnKyUc=csLE(@igM;`wRu5?O5!OTc zlf#JvTlvtEghs6t#skN6mZjI7Xzq&T#vuV^=x&GFx+R@Y@SglW@#m%5Y>Lo|u&|g+ zleO+%kz}BWu7)8o4+C7Pyf+fyf)vVqv1@!%fRkm; zLtb44<4jt2DD?Ij;gTlpNevLC&6;}S)uHe2nR(7I-9*fBLxGFp%d*uog4Z&&pV9Ak z2mc`i7VRCW+lqd+4zzG3Bqo?kev`hRE*@SpwUN*?`E-P>x4U&Q@iQ6(;1Feo86w|< z(?)A5eCNksEsapZd+ofpiI=?$?#8i)?9?9HfDt;@T!ThPvj~aL8GRnv&9A77Zkdpfbg0VlX>>C}$_yd>~rz zR#p~|jJ?csjp9unr!+`-?=0=6O%ME6kvP}A#8K#!x0r4w(TEuutz^skfn`MXvk$rn>%fM1 zIyY&r$VcE+KA~)Ao^+bO-sw0@z7J=I^;RfEJD~7yoGL{pvk-9iHb??8Z6(!}w-8k* zD{|>12xsS8Js+s$R%eQ!^i|*@ZzkO5Ly0><{RJ{S$!$G$HI2`}hOo|3)3r}WKbHWLWQe^Dg!yeILT3)j=MQV&_6 z2O6<+y;-J6cgq!K^9>Af@1SB-=_`v7?`MmvP3ggP}9dm5k$ zSTKd+zb*!Z5k5v)!|pUX2?*S6;NZ`r4Dr~BfCLMCB-0qUjpu66U)!eaGfBE1xIoTx zg4M~rktWGB_ido(*wItTx}a%}yLt7- zJ+(;F03Ujx@M;Pl$(TybjRf9@;6=IWP4oa^* zK4lJNy{yC81HFpaTeXvm4uQbDcN8B}A<_C+0TfdjRhgDDa1DUQ9@(Y23 z9}}N=L+|mjoQ&2oY}>rfn~l4+p0Q@pk10v_2&a=mbF5OsDhXTqlbexybII`2$rqom z^^`M>%*)BLZnykx4^09(h-c7LRUM$AAr}1|*qSX6)6X^q^WfOGoXUq7UE{WwwsHBN z$q5Ycz~`8u+$PRcb?>1w!@ym*z%rfo&I&q0jyKj%qzujcYm!M?Z8f@v&X6FcOSEMA za62kP3JSR5;-B+>dPjnq(#*UuCk%P)+bxbTpD8}SM>puu|EAb>rQ7&E9?y^qyuG>9 zlmK;)xA)m(z2Fo*^;PFzTEewm_u-acB3pn}oa2Bj#eR57OT9zYU|s~r6cC-}-aN>+ zyiAkA2U3t0*Q`>WWv77rr&jBMy%r_Q3m4xS>IqbM*Qj9lFDnafJ~o*;%$dOjvrY%3 zS&2iOzbMJQ?f)h7K_hV-gE&CQSUS7>o+BQU7xcEV{+|H164p@bsdd#7N+BXnk{N-J zK!v;>Y4UwA$~aluhBs0yaijz2@V475IdG}giA5fvk*Vvzx%Py?;_5}6|0E*O6l;od z|Iw>R1mNf_Y&Zc~+#fS3kXp6zShuY^_D9>BcGNZD>Il+w`k(%Pj1VK~G%qn<|tVzI|(yLRU8t|H4@dO#J&_4W@+Pt;xg5`jHf<&TY?{$Pd)H zO(9%pN%d3em_)5$MXF!k-;-x5rc6P%9U&TN@%gE&!e2@liVReQL?`HvZHZIY52^ru zijIZ~c8ZZS$p-lEK#UPe;@cSJd){gDrEJO_oKfqnhX_+diK<-0R+~h*a@d#1)$s9AaF96JB5gK^!QsB! zSTmWR;@y%^wJF{m7-p>@ZIYmD!&`WUW5A^im36RKM_t}E4EQFD{1;4SR=);M@c?6M~7x_uegoRrmqMas@k z>~j2Krrc={$;^}Te;{V#N{~M%pOkr6bKp#d=jt1k-0Tb2+e2nn4j?urp$MAHW)!RC z>sO>Oah(`S%%CPo;tPjT7eMp>^z4KPs_U|%1zk2OYs1sYqyjQ6Dylwq;ZO-Rm2Jm~ zbtNYKO6!ybSk7p5G{st|U$>yIUH%6}K)Syk9Qiu*@8a4;mSS5A7gjOxR-vUDKC>>n zwi`ZdtKDRWn^}w?ovut~hg@u3=6w^Ya&?o{k1H)v4<$NA7c5-#mkfIk8DeRcMBr^% zaeBKNO29S1`1V2ci3Qz_2)v3^rIKs9r9sNgD&6kZ=ga%ZXyb+QHT2prQ7Og)ux%2g z3@oPq5A%udWm8gJovF^t_EhGuQ>XY_S}HXR9Eh66b610WsJrYL9rub;A@k6FJ*crA zJszP3N)iBvLpto@$^E^t{FxSt!oLzM4JAv)gQ#K7#*~jnoDPRsIt-3I5T$;!+*ex0?1}1wxUwi|gE4P8Iyy z=NHwN1f23z*ocNoHJeksRNzjoQ6!0cY^3HgZwO`J(c2HXF$s6DGjYIwIFzx4TmIgd znxQc;n7rv(q$h_XF?u{+aCIedBH}6IO*iJK&&nqvzlGa;mU?SsRQY61$gE`!#w}>(_$t~kEdn+7rGGr*{H?RuCuoWx02(RQ* zCuoMo9MqunaD^q+nJHbF_h>X#7n$Ghc}i=s>Pi)_dq_iVOy5D3dzaX&idrn>74k6DxOWn+Cn>jsgWk8}3V8+E~79#mcE1Fg~Ewp=kinK#k0+ z7*KJ>*DF5)yuS*xo8itMDK`uW?+nRDdto=pnxVix9yub($O2MmR!rIoU1#@Lh%WqN zL?(1F^3J@{wA)~c3$i)gKOH4a$%kIq&QO3pwYY-qI)Fw|4&L-3E1)I{Hz+!jm<7!2 zEHRWkT&d9y2xatU{uBQes^qQ$yklpcHx_QA%M0)GugOUT?)m<>j(}hi)O9<8qV;sYw!c-D zX&3_9tg_8<@SUZ2q=)=`-b14m{^SoPY6ysV&zts zmdYadzs#kh@oyy3IG0$ke-X(@v`N5&DkPMLrn@D(eh+Za$|q8!oD{KbaD0|>j`pMK zx3k#p_M8H~?`F&oiU)xydBK#qbz`(we>dv^rYM@i75Dmz#xGQhAio&n_lH~ZH?=_6 zpw%&PqYvk9&_Dy;wl4u!ijl(Dt%L|xZ;Y)2Od3@s%xVa)62#l@776p~1MJT=zM|o20029=3)Yx6 zF?iK@y2Dy1l;eTpOfK0U0g3XsyMX}DQCJl1s>{j#o$>J<1|hp0utmBe(iLA>Zs0>?q<7)$^Atw_y( z{llT#Kr4E9YCQAjBSWxvw_56`D7W^w1J68*I9E+{_-&7O;{bCm)Ths^O9m=qZ+bG% z=YPoluy9!@fy$^wo!%>%x*g?1&Uq3?XMkl0-7)MWZO=AyQ=?{pBHJ>KyyQt*O)2sh zxuu8TY$_D9k=#@~2Ag83Z~axFtSe6F6rp zAk%3sHPFNf?F7<&?;hilBT&HyvG(rVsf~3|Yu8qR55hj^RRR00I4&0S- z^-|zb$#oP;>tsTqoYgsMevjWLH zd1yKUn&1Y4r4ql~lkT(_*ly7ovHn!!D2Rba^Z*RcGI!8&%m-$dJtBT8v)&9LW`luY zU{~dv1-8{nXWVnrsiC^ij!C6N7%ijFiA0el0OQYKooj}mOPofGn)P!))eb1rgZDhj zI22!%-`>%#PeSCDAA5=Fq&h-ca76Tg#8QMRKW9G=UIgPA$Aor9;UE2nOpfQ#W2N?L z#F59p2xfgLY~+;e@-O|@GqPxi(-ptwqlLZ^RJ|3BVM(ADjoTZNpl-D+Ul$4YdUs63-2@CdzU9!yQMQ&JEe=k}$O~LQ{z2)RBOjrL zsAKjV3nEiwIuOf&CqL^77UtOr^C?W}GXya;&h$qaW^*`-DRz%q;{G83;NEh;Imp%a53Id`mQt--*L>$eZmA)AgnZqR7^DHPlRJCwR75?;m4Fhnt=_Mpo%no-1%#7(t~UliOZ2Z6<4JWJ|GJmB)f^ z^S{*jT`mq=2rfq;w`idMN)Z~O)0+Hl7sqS-1tr4_1ZkGCCG^MC>mnAg*McdMIZx%j znR06q@otKmq)8T3aJ|UCAO-~8v=U{7(OJdsU%&jVI%%1iHGfy$!T+F|1}>_TuuBx^ zG8ibJkC;`#yfX@22qAoai}p_h*+$amyVkiSD z1Bps2Ih<`yE$giDyTP#>e6wQ6E?m40`M49D=PK8kuD3JYKUd-&2sTX$nM+ZJ< zHWr06f`%3NE#Zx?CFc&ovczPv~UtxLE#CF$VkG278>iFJYFr{IV{5)NXC-7pb|M#H#osXmRNY9XxN!0*~|I* zmP8eq0Tek@8KqD%ZW74{<3Fu~;)PnT_G03U4V?)5;qveentPt6Ii+9oZlOYEit_+5vYzA_gA?d*1Vp+j?0ac6m3By_vg>yEEqrZ5I9)CTQm-?S64i>MHZ| zv?pne_?ijqjI4{0=-w$t2(;q@=fv}?Q*RuP9~d0=!lL6~^!M(-fBC*?1IB0-pPCB- zwf2d-1x`9B-WyU@u<9}CScs(9ZN6TlwHr{`ng=)G1%~=t2NM><4;NK4S5zFXwcJv7 zBo3PP9_`r*AtkTYl9>$#60-8hQ7dC$b55Q-#|PhfmJKpsAHg~~D85@qoTF;LMzzz4 z>Lve~&_&VUg*Ae5w1gr_Id;B>IIM}zSObClmZ@P zzvI;&dp7gkt)4H$7*Jb_5`-Zn?#B?Ju1sAd*9FAQ0meBnfZ5z~;sB6pD1l~fvxtuo z_mWgtQ!H7nt0v0g%X?*PsjAA+^l&94c9jhw@#h3S`jeZlzt zy&fH;evCnLzJhZ{zCAOKNM&71l!maiP0@S-&Uw9(?+-Qs!!(_Fb_tPyfDQa}*28x4 z=OJuZdGZ8+0Ta?3x+)S^&}#rp)%DPQ^_%U<)nm;nYYIab#1Fw@pPCLexg|}B9nx>m z0%l5sKr-mex?DEswM3VugPJ9lV~sylEh(oI8QGpjl3L5Bf54~!t(`q_3`U_}6-Kn8 zhI~RSmj{KTwtmSlZrT(i<#z&mM~Mp-V_t~GaUGSPIO$m*L>d&uYw=^-plRje^AsLh zZTET4b75E?brIw{KPQB$rYEf(C&_DuX4SooqIQ%zccBH+~c56kfI;9cDI#?eBl@Q+>%dTQSdYCHlEut1`w4jTt5KS-{ zhO5~qShE_1uV;tP9<}d7f?>^MN!Q*-x@}|nV7Js?u z^f|8ZF#ERcYxbpePcLRp(wEq3c9${&bMvzVqT>f`GQX?*evgLIaAeW1WC?|&xtq0t zvOVkWm&Cr*5|=^cb|>E?)Jn!1CVOxsM^BQ-xYg;UIDq>&Z^L1PLjP(@O2ZsL>Z5_-c3-J3y!6kXuI4K z6VH`U-MY*YEC)oAiEh|pI1Vso5az89rR$!g)THK3^xZEu72~I1(n^+#n#Oe`G5SP6Xr?eq?niq;4?c@Ycm&jj#DKTR>yOt9Qd9|#eNiE~|ZwjOBb za%cH#TDn^zBS?-h+7bNscsV#qh7T{UID8m#7+4DHiLR({H8~`;L8;8gbu)_T(K5R# znJJ4Ym0hkp=^G^Uu=GE^iO>>;^gzSU+Xi^CF!0#>)fn5P_T~bGhPwG=#B$m0K5P9%r*X&pG*bkW?B4{bq z9yY{vC~)d>_aHv3U?OH@3=azYw}-4cwHSk<2QmT~Bu~e^vj+pNTYX}hDBr}S{h+5_KFKtg&_on-^?f&XMQv*HW z_XYN9$~1d~Z5>0D9SkIyo;oiQ71MlY>NCZDmj{6v&4Hf3mw>n;AMZ^V+n?6V6(}j! zIP$ENq!0n&^dfB7HPkH^R7`t0y14hotl{|=1qFNc9xRW`1Mxj>CoEz5BhZx3Ej0r`?0vz;thiW-23?2Ks&EY4` zvmh~rt}I$|J8|73JGk$)*|Icvh_42rvi|&@qtV zx)u2Gv0-)OEYZWZ17DaAXCyD2{I}C1rd*>1;8e>2Tpw4gy)fWcJ0234CbQi|UZzd2 zjSNqu@PpVSKK^F$%^1GuZtJCpj6Qbj1;dy!{x?Gov^9HBAA|CYbDBDUX#=DiP5>8U zCO@Bl?e0U#tb#KC+pm%uCKv3{-@iLjO8|A==cm$wL2Dp=$Jm?5Pe=hXt!?&Tdm8Do zQ2_v?|09y*SxF?LsUfOg9`~!W4wsBrL7M{b^qrqA36Gr_oSQ=<`H_=wW z5<+tf#;Q1Gku_xko9rOg*c*uY=eB%$XTzqy)>m@LFIQ15tsxu)bj9AxQ%LPFR3uuj zSDCOE1%VA8eYYjlJs7Cd7APrSjRki_rC3bJ(Ok0|6zLS~>r)9MEDj|B8WO+6&&!OYK z=wngbN5}Vu>Afkl zeac~wMVPYhX9lvtwGKxU4cq*`NyxbVge0v-8h+l(zn1A#G>=lR9gi$12`&YyQpY8H z@C4bP*n$=941l&{AtI3GwHOd-U=*5n3!`_yrQ7}(Jn1x!sf9tWQ`sUjPM z5la*Cuov#a1@XV{@upEL5keG<9MJV-JzW*!2Vo`lbI=w(EEAFERlJfoBYqQsAgdm< ztut5jixo4k8kc#5V{-J}W(17tqJyQMl62Ys$rJzRZA)7E1`ZG4ZRVuPHf(H67BQWR6Vm6=S&nbc993He&lSWH4tXnkJ z&LI?}dn;@hLk`yH-i%p-jXD@dt^GsZ^b9+rzd6@ilOqdQB1dv|i6%engt6K_Bf^4W z4tG%E5lDIR9@3m;q%d+bXKBn(91fGvJ%n=ugW;rIW{*PTZuH-yP84GZCP;Oge6qk5 zfGeQ_1#+fKXsqPe1}9g%YI|BOtx2R<53}_+Jx)GE4JvV1amqeP>djPnI{9^kG;kfa z8wzCRc2EztIJ&ErZWiHrWXcSsq}8GM-{0Y19CDpRD+00d^^HMjx&xSXE)x-0srK6j z{FB&$!v+={SnoD#f2tgx%2UJgMC1SR5G^`~^&u!6PD}#9DT?X~V)o!kAbba0qW|S2rJE+>MKZw<%>+SxWz8P6P!|cUx@4u3 zOeO_;4IQ^QoiA_*u)bjvp%U|BaB+0w06BSXah%3PxDuNMT$V=^@vp_jV{gX$7!#+LUB&1-uY1SPb zawhz=^Y)40rshGt!AuW>5WfL3RT2StEN79hI2>Aqs<$hG5}N6Rg!t z?Z2v#*oPt`KL-A66&clAtS_Y-7#gb?gBhL%!vOo{s(%*1>N>y@s>;;GQ=6)~* zA3BP;VgRyUFpIvH4|7Wez}KjCa6{&hv^O2rifgfFC8~UZjs!3q+Pnihpsw^O?hE0M zv7%GA`L+w$T%s1r44MRt)|sWtO+!M4PAFC}S{Y2sx+rEZHkmVSt-uLjmSa_?s}m$2fnJe7 z8!a3zq~Fly;{wcqEq2WJ8d?|rtGX&$7cdpwl#u4(yh+D&mIJ0VZX`NCk?xAES}L*f z0+H*ffpb+u)W1Z}#o-r`-YP(?iwtSj>3+P-jUEL zVhwV7mzeeLiOX!aWM>zHiGtG}z%SeT)mYFgDE@G3<1Muog)PC=p>o@u6Df%ez%C}e zPKRuyd1_L}{!6RScN>lTLo2@4j^fRZgjGPWL$GX_JC4CB8YYbFiS|KqDg`haEwr|D zgHG2;VBX!!-|dVB-=p_C({+WQTw7Tr^DDdo$c=6z@wiU(r;WEFO}NT2>aEJn5W+ef zXy$^Q+W6 zFB#xrJjexjwZ@vY3X5}k^dQr)q~4Zr3oF*GB?$bV#+)5kxi|BtF_&>oVz~I}`xkKi1|)B8B-$13ya}MC5=ls+n#mWq z4=;|cM5lr8w7TgF`4n}_j4lI7eb7Jrl>F~35TDhz<#Te|$&WuPbeO)4(3D(&11}g$ zPj#~01#F{2TNh=A>_U?P=&wAWcz_^{A_kVBP%8>-O)LbtXC=oJIb|5nfZ>yHy67<| z%U{)#O!We_>8;1ZeI~1C?>6Xd`aG3r#f#g_%AO%)=t%O~K`WV&| z$jiIWs%%PD-jcgOZlvTK*c7&t?AlcirC>w>q$feQ>HtAs`#Sy*DOa*ys&wd3_&Oo2 z`hkZ(56lPiYfY=z`dYwH9sIb>X{BY$x$1(l?S!oBOSG40P^nL9=P2 znPWp{r^uR5GeL`icN92)X*KHqqIShhIp=J9dp*6WdMgS-^_pgq#t5qKNgvQ&e%p0< zfw&8K8AdUQjkDUYyR_j`9Ju|m3&scY?JXHuT=e|w zAqTPPKg?mL?H)kv!tVU7F-?Vaf_)Voz8|iB|Chw%VnT4z_=C#lnk?6?d6Fj&*fbc? zVO%Go!f+?DoG&zZDq6quiZqY(_!fH#II+KasRsKIM2hd3oak1-FP`2?KZ*mBP%%~! z+9d}j<17XX9NV`;co1{IETSXi53ZoSu}YQJmDjntY!i#fLtYQ;Ici~f6rxW48!3!HWD3CQ09>c2zj*#v6O532Q;j?3M zahOWwkSsVK4M}$)640IB^2+O}4p3LIXGZAIBdC8t%-h$4J_(@+&I~Ow0YjTOwL4=H zWA6_iFnqE)#ADo;OozH)|17O|)i)ch=vAHEUq9RY7Vx5Gy>xJ1CHRH1%V<2&zz=P_ z=<}f!((YI%H;Pqaq*;7{y)c;l%F3w)LK&ABO(l*ti;NF{I)0fOrAgYXYDXv(mp&|T ze8#?;PW*&**$hzKOEw^;O`qfc*>XpOQy-0jWlVgr^lR#zQ^G;51QosaD;~iJ%$*(G zLg|O2ALF5w)3S_xh!IqBEH(Ig+9o=!Stcq0|Hy@_r+)J)McFW<<|NU7t_X0EK$GBz zUjk<)vUx%JEP^ZZ*`s|KWsOmvVW6ekD=;uMIgGnbqAk>UOsxz%AgVBpmiVHBCdtuo zf=W!`d^sE;2L_pX`UVMBm>H1><(MBBrNWo1+%eDNG1nDgujZobP7) zTy3dteuo83mp6eKV9N2)rtvT8MnnB=JA-!La_n;2?B2~O8B%dHbpc5+jL{!S_|wu=RN&;a4VfMSbN^Ig(q!diHb(C2AQI{a zEsU!lfHRjo81p@mqpE1K9nIeP)Jj3owQD&V-5~8lF_=bXMK)jqoM*U@E$YSFf=SkA zf4`x@JCWd2_AV9clvU;mGCFd{8t%yv7xUA-S!NH}^e9S*p}Hs`Y%aouZJJ6qNHcu( zQ^08=IoMY~W^TO|$snZXkTyD;eFTX56Q%bzwK%5}WpJZ@8!cBYoneS53@xjT5rB4D zfGoEsbHF+ySEJ7TsS%Rz8Y-jm6S~6iFiY(A3pHZE@d0$^Q^hjW-zi4f;0ID}fm)HY z-h;GR1AGI|1zAjgP6WKd>RjFW!^*)VDgb?zwgiFivI>;l`DzG%Z$Lb;oF3P}(d2|? zn|WjuFEaSNlBVyh#_&``LPwYKbKdgafeY$Tnvl74Iv=BRyBCh#C{da3!;sIiVj zO=8p=zb7$r;%NLypPWN3VlSCw%SZZH@0+POi|<(Gkxyn_LI6t=ka9M-@9Bwh2`)40 z?`EyGj!O7|WtRqTKw!VT>H(4J^e?$SRCbo4Ur)|D^CbHzO?F}5CQZ+Q$^6*6+!=Ht zF21ltE0Lw#0E$<>5{tFr*YPI~ z;K7DfZQ(n(ItY3vYa+1(h4KT1!VxwLiOFlh7_(%~IX+9*NgioKnj?q@?)lu!_EQuv zwnX=(!FoI*}>#?gs{iEx9=MS}hFm}^ztNUG{ zt1PR~WuMRW^y0S0yqQp=bq)1JSk7;AXcUGVyXI}35)o_dQoM15Jf%6XZTVlf1MONs zIb2?NYjmwlrQKHZqb|&P?1iFqI)r~|p-HCA&i%8UocUwjr8N9S{=-qii47c@LEjFX z%+o>I#U7}%gc_caokd?A$pquB*mDryW*pAUctG7;C(&y*&3EiJi&rOQt~@IAtuaQ2 z3#^fB(HAa=YY@;rP858{r{1JX_MovOr@a>qsn( zAfWK18mrpCb6-aHfEcOc#Przw_3{usnEL#UAQtGM28Dx6B|j_7##`lRh)h zKqGON+DSWtflJ)*78ZfRHOx+BAtK7fHUJo-6tSx$vkfnYt}Bh9NFnN%2~Za2ck#*Q zh`F&*TQKFH9KLR%SUy!6KU>D6NaUCC=)jxz(hs%xOG~e`u_D1YP%?-<&>KOZ*vA-` z?H70lZVbWR;dfyCwr|COEdTW)U-&mA^rqZlOP1n-aao z2ta-5geJAGFRKw%h=7S`NNOaWM*_4RQQ`2jfdQ^Gr(L{G>`*WbL9QdVk?v+RtC=m-c&Io!u3CLW%G7}KIEjtQzqX%qHy@0(dIom%& zRslY1!mWvRC)##rl|!x}Is3}GnEi?@l5K5L_t&+Mkp>mA%RFW) z(_rWt4KUatd}ob$tA4k4PF4wGQ#`$Y6$NLelw?IK@NrlhrWRU3@2OfVgD0$|e0-!Irtg2YmREg=m&!YbV6_EMYAW*rA&_$~eS z-r7vd0(-e6qn;HwJd@pk#4W6#o|J@de&X#sc06d2k42LS1J&r!^-L3*)+fn09Rrx$ z>|dKGMFpgFePrh=x*dUt!rbDpr;HXC&fkm{b`nhw4<93aS+*EDo2fIpXTHgHkPeEZ zd!n!$QS^fMXBU3q=_TDE;p38@NXnLCMJ}9iyn3Nf3L}a^c{?QTtrS*_y>*G(**b-s zs@!-$0r)CJTj6rMQ6?!+1rA3`-6)T5W>=}5x%LEJm>LQ}V)b`)F6;4--kvIu=NzU$gw{;SmQl6 zf%GvBd$+oSSOPihiz275=|WRUAP&d@9mZZ=J{6Ppn!_Z1AknLgIf>!%3?4Eg+}Hk* zB+f{O$>QxoJ@eTLJMuwm)zNXibcsgrDYgIMWt|OFnUC}<1=!d6J@y`Uj z*$bkF6H0#j>*uc)33EUMcLomon2&=Ous_7N+zUJgp-n$-nNms6Jz8OjJq9o%DIcav ztW%LOec5W^zsaz7TzndS!WBt<@!T(i$Xm?at1TI9@PQm{EeB6_-D!f=pEUsp+D#S>V1pdXR5W1dErZga)l_%W>-&_xQkQh?UBIrEbxh=rV2Ho9J)Y`8P^9|VwAGy?(xdVEQuX~MlCpRv^j zfND5xND|O*kq>bMJ!&ot!V;WXJrOe)^M~33fCd2V-_Z@gzMHQ)%MXOds%@v7%nl7} zg1&Q8jo(>W^{E&Z#N+OvuFq&zU*r<;hJ!0sdN}?3UHM8x&Rj1{n1EfB7Xyg&bhIjo_Inl}7_4?%icTHLA23 zy#cn01QRu!5gp-c8o=G26pPUN{dO-yy{k0SZ1~zD_9Bz!1;)r#c=ha)a6@rB)OHCe z_~CmoW-*^53fg8?cqHaNyTx(C@Q#2Vsmt3%$oK}B2ksy-fQlhJ)Qun*#2r`YK$aUG zKilw*Dpv{6;xkP|u8gYPhQLet12j0ck}(*GKHuia23E?H`Y_;(|>olsycF3 z6p=4~c@BbGW0J!<$jZj;!r<3#M;KV!McrKkdJh-xqt# zi*R+S>7Z_pk@E@RoWVY%70&VDYzPE{I;&^eKpA_~(F>?y%?u%N{f@K6hHBrWo(^X@ z-s~Q0wEG|97XpxfQ_-57K%{W&Ji-i1hBj9!{r|iX1Lg87dUu$iVX#Di|M(wTLc3t) zGcGQcWNr8 z-7hk&h2oXjfS$P4Na2%=Myi#L@)I+sXd?Y2+ThMZWWAIRhl@^tZ zwpDrbR{WuAKCnWlF1eQIh5QDzGmF?68&@nS(;Te-i{tuZd&;SI$({_MRB^!T_GQ(H zm?gZ=N$U>|1sfEBmQ{J6aC|Jk^4O0o@@dxSd6P=zu-}$)VURl<$`Jl&n{*Ny84)8U z9K4sga-Yf&7NJmSNcz;v%X+7}Z346B00|S!dbic=l$ey_9A26YHkn95H+zzpOu8`I z11?CN-p?dZ;u#V)kI;!?QpgV}Sv^LYUir5I816_!Whf$k#U63uB01M(Jhh5+E^d|Z zS1$pIoa%bS$bFUE^%v2uCgTIPSF3uzM*kVa`gCumv_SV>okcUEr;l&y8!R)x1-^-3 zUObd6^K|cYQni&kE+MR9RiJ5^S%?`@5f(0V*TemPAc$Fkt}0qvmmnf!=u#1rI@VOcyQL*#Z30dgPNvd+W0Wp6?7D6;&52I%IYu5Ew^o@O*DxKN%b(?#XIC zIGo9sw}}0!$(=7|v<|jK1y98;AeO%uI2|Qvxp%esS7xX8or+UYf^<~AYq{ECsJsGn zlY%P(_;68F1BLLq=yph@h&>coXQ+hB{#wI)nWU8pG6 zlc_{PNS(EG9~*UKZ&G^={9WW<+sG3O56*arV$|}EnofOmIEG$~wG5%x6Q zA-W~AF0JtFHaR$!xX>Nvn4SLjKsh6mp($0>yQlOrj6zWDGArM*5-`9GwJ+e?xE6GC=d8+2 zCehJ#jhyL@YuQuo?kQYy5Y2YGnx>Zm*{G3Ig94IIw7y5k;fIrLsgtDFZEBZFmA~{! zE-=5j6BypSa*^GV&iHaH$Zs9godE(-3*V^LRT@l3Cj&L8DQTi}9N>_Zj_Xiayx)%) z7taji-HHCh+lOJdJ}?P!t@qKFNEINMKf|A2)%rG>`*MVZtr!s+Zq+sTJTKASjmeA} z+t5!1(-YLWeqQlHN}X>(BTUy4^*hu5RRxs3s93aNmU__OZIO^>yULBm!D2{#+uy2# zmGuLXA1@^?EM8DbwI;|B`%rQw&waZO{QxA(p>p$(_Nl`pYbK!VjjEv2dB5h##qcj&K6`XLkCZ3^tKd5(0fB@eXQ=5Pf4v$>;inB1O2s6#s+X=UCE0s*m+N@T=`uQM}GcyC${3=X|c`lFp z<`*sBcgl$QugIQ+QAk?;-Rzsw9(HOS3LKTT;9y^o?Le-+keMkJFEZKTNvkpNPK@=A zvZJB^z6GiAO!3b@Yg0OzgJluiTNlD^-oU%PhENX+Civ99%@nQgsk`(NjzOdHLly?6 zfdwBQlnuY}`RE2WzW_kjksj_S+y28!bPuw&NbL=>7W8wjaR>&rC7tbWN~@JL9uwvQ zAlPUDzUNkx1kA@ZPe)B`@xbRnu_3r?#rPt+c@q!P$e3y8)SeZ~Ct`F^U-=Q{7z^3k ztbN^w()R~ZxCsCN0000000000000000000000000000000000006_Qvcv!80p*$FR zgOrRnqk@%WW0pCm$5LhiBO|Df6$?H0spNJJ@L%4W!*c>{1TV6Be9X2um`rZc58}(_ zP6TsLWwy+EL)f5X*GUCxX=4wj(l|XlhLdaaKI>>1Pn#~iaf{>E(Eh!Yx=C5z#rqqc zD>~-ru#Z3!?h6MXi3B0nw!=IkWNh1IPUMZ#r$zFouAnM;5;)f=C@1sDn5%Xxe0P2i zo*`DSrM|6jPOu#u|Gpy=zw7|t&pnIU1_{?Ug+np-?Y@Db?Yj&yJKk9a-D6}R1I)ZY z-(R0~7a(p(Mnpo8PjezJ7S9BJc)5P(fMR~4wK}ZhbAzoQIa{q@*UX#`JmXGgcV4U(b5mS zO#k{}?Kv%H4Jy@fpS2%m8?A@;CcLgkbMz&8!73jEbyyUGkE0k@g#bX56T?vp#wW~r zjB-r!9uRW#ix&_e`p%QCG0wM#*GVz(w_ZKdm@Rx3Tkks0 z9~sXuF9Kxo*R7l(uE#4a@`SH4X;_j+ZHU%tpFeC*#}EK>`o#e8l*K{G+|KnUlr*wQ zi^P+ou@yx&Zywta>I;OzTA_(LCK@eLjVJoPTEqHlehIaDx)nFM6>EKo%@Azc#SkK& z&)E-cg1qu^B?qhpa_U;JsK<`|9OKf7l^d90`l!=%>&eKwk}Bz_c(oX9So;3Q(_ByZoEr$A?QSD_Hvsn8r9;=4jrr(;IX2`RYt(KLOFVx zwKM{JIT!cUF^aKU`kK;RCo1vK+gELK=$o1Yh5K3g_@}O;t2&9AEX+$C2uZ%n1q;LP z>uF~yJGYHiRSGaf=8-%a2;o~B)-mha#DAw$tt@L2+XWijRkeMRRIf;D>nD}AE${al zAESRb2+<^+SP+69cp)Sm&M1(IkW~gzKT#r7Z6^s?{-azr{uMR~><;hW#%QkHq^keK zn!{Xy1YuhmvC0bTnGSA_N+!SXLkDz1#_R_0Z>-#QKSwhN2iHi3b0qA!L85J9Fbw6p z(kVqeFZ8V@?oj-K71c_?1C_2t`dlPtkjSP~&gME*xd&DO>@Jy(8pnXd79n~DJ|t@8 z^=W7drRj+~rr0EdnVEQKsr9sHD$&48G2I&stBKSD10S;ExdU|`5dg?5@&KbCe(>ccbEZHiKibDr3U+N9##^hn; zkng=IcQz$JS}iw!s?B0Oe~WO!`z#hs)_V^Th~r?;SGI%Nw&Ca@00mU_Deis(B7Bm` z;I#t4-=9cPxxrdgw3a&6G^qsLgdB+!QnZ!lGV-ObSwshiD#7||qzUryr9o40F&TcGPAc~sfv@M~zXf@ZVXFkwr#cMOH z;M~C|ECBJKodUBIBrmf=A0h6sj9tlZz@)1?0Zm{?pZ}?~js@z20cobzDTl&2?Y&cw zD8Uw{+qP}nwr$(mZQHipyKURHZM%2dHl}aHy%G2AOw5USn24#DdiXQ5YUM*lW!75X zk4fvR0^sR@n!Maz1>`D?EG7Zc$%=HA;$Ka?L=!hMKFJ}y|9BDjVox1Zer+wOM!z%6 zR6>Nb?`!yrO==jA*bW@m-?a_xg<*l0Ia=5%4y+H|@I%M}1@U4wii)%hl9x5^?5|2O z@-3}AvO1{*f24koj3tZSP{GpBb|!T02Z*jRP6MKTjvUN5qmsBG<_8&E(Lp`}A8Z4? z1h?iX6}kPVf_u=aXC*e^q3t*v>C=hIyg-!fr=72#SDW1i&gJ>g=3n^Az7XV{H~blD zaO0ne?L@mZaxn`e%zB)?!FCS3|$AsSRK` z7OPKaN}wKXXH|Y)^c^i|mbly$z2MU@fQ2|}iw93B>LBGr2&MrJvKhEw&d_jvXwYlNcVLJ8za39l@s*f*h>dVq6UkUwm?!Yt|0@eSP0a6m}O^7TOO zZB^^$Bt>znvik#5rImYJsP9c7YXa&KNx3B6O3Hf4SQ+F8<`aki9|L&!TU)M^>Cd0c zo<*S0R?$;?3N_~=o7u14A(=Zr4;ON|tc?1Jb53wxxs!Z74*bXIt!87 z zG!?7n`~ArP7D$X@-|vzMV}YQkmscpjNjpn)fQ1IYneN8R%61srvznrC-8NjTyXG#O zeww4eN%K}hmjwsJTo>+GxESR!bl(P=Ggy%@)6cTcK+Q}5BHSrXIf6kN8JV^Y2~>N6 z&ZC;yYDOHPdIhw+A%`~sHpYBpWim%xum?I}vlQ7To%68b>4rOibD$^{72&iTp6gt8 z`$|CCzYU^!;%7z+KLWxJQ9iVqzV%a7~jwuK6_3oeW>Z-m?!nm2C8L0kDFCR!XsXGWa$jOvuy z`U(d8XG4I(r@7L=2`9e?AGYz$Ub zEb$eycOJ(;^zAgq-{Sc-YW^UCT7do{vs%eHL*t3ij$d~zP;&XHh$<<(@n>n384zNe zD+r0*GU7l7rk6SMSo~UNP;}OwL1vIA71)~|B(g0y8jH@Zwrw=7lqmK0N}~aBilJOQ zC0PEwvB*4tt$zTp{OhcAjd`ND^5t`ks1H6PBrJ3WqPZ|v0HqpG!8X`P$x;7!VGY;( zIGjS;?{08-{2$4^o)Bagx+&;QlfB^yU)ZcsTZuN^U{K9|G8KMVokeCRmN_oSKdAZr zWuwfrM_-S-)7(MmkO)TSRCb*t>^E8f0url1)3%tG3PO$a%|wn;3dIp`#T2s~a5+i} z7lGv-Q+w<|d{D_2Ls;-w`NER$XhQG>lhFV&UY5u5>vpsS>K?DaT}>Mld3u-hUl{;q zxjU>}IF49juDaz)vumW|uqhn;ws9OaOD)$lY+m4+**_or^TRl}+lX+2ClK*OPigR* z^%5?P$OZX@0SLuUu0(%TQH9b2BO*WjTdda1%=SKiIUw@MLoqL?n*=<6CB!+_{74Q& zG;C=7fpc;Z0mwGMs{w2e`w!%>onvDjVm{>DYoV73QnS4!Wm}igQKfMV`8t}clow?Y zIw(Ay>%Wp8KPSqOID{^{JdFtCQ~pw?MbJdBF~Sl8q%>a*4!B4fwrq{@a2(U2S(*D$ zbrQ|G_LB+nsjhfZN#{GTvzYi1i{I9f_c|VYig_~Fh)&TF9|uGrlXBS<1H1|Hmu(jU;IQ_|BKK+fm^5a$JQ$X{|8oOz=-ewLEr&5I z?If?l1qq>RKE;zsuV$r@w!K|fqX3#UZas>ah6?d>7eQQr07!{v7I$S-Z<;z?@71Iy zGi;%NtVp10+-uOK@3z8Z$bqY=%QdSOeHCCN$&3k|+b`de3ptdwo@*G?dJe>+n5AKp z#9V73!2$ae9B$hdk|qsk?cw%Zp;e(^O-{hY+yo4}6&oDIvT78r`8$s&TQGP%}-0wmI8|iUndZe5!Gsow$_NOUjxE z%sDP*aJlJYK}e5rHOdyM=R0Sh9{=@{88y=GbaQX`Ij%>PRRI}!C@f4Wo6MuE!BtO% zInSOC`DWr@jT~;qh1PAdhd|DyTo5>-*dC!u;LvO*XpCVC@zZLI;7?R8BONunbsiAO zr*!Kx-Cac9m@RZ6a>UdDC==9Z(fA;R?fblBVzF<;&D)6HHFE; z>*XlMx)wLEoB$A-rs?byMFyFCQ~LJSGdp9Q)@DGrrxLmZ!OK9zOpCK)UlNqS=oE^( zYbLaOEOj_`Uu_rmU@>kXjy{2Cq4XP+&I>S*(wIUP0U6nOaSK6&17UlHCS<**1S(tg z$YxMF8%77!=dD}`=rG`(*S= z2Yq^1;8R>>e6*8rm}4WLFyy_h3`wod3Y<45O&d@QXX>1-Nu(SPQ(T0+;JZstVtH`E zGk>N%F-&&9Q!kE{3H1*5b@A8Qt^AH36;R`bl7~8qj}Ugz{IcN(jMlDxfnBR49{6eL zsbV(Gbb!mqr$ZPdlDiAEaQ5)M?Q}WP`U_&q{)^8aAH&vfP5lL~rOQE)K1U0weoj2c7Q_By-BV|9#b45 z-GeQ+A4;`fZ4Q^h->g;UZ=CAhLtvIRtw}MDR82yz!yIh41NHN9iOV+Z^LO~vMU?L& zY&r1?>IN~3;7@vS8-YzROarKDI(t!heKtx_ zb*E&a^fTC-XU!jA1V7^x$|b=(Y)tKCmJePuTKYdX0z$Smg8&oMlZw7jsz*!T>1}UI z2%O!qw*d}Gbu=-$2TDx^M<245(OoH^@BE@b7#Jokh@>|X7Ej3H%L za6q9Ng9+ysTl=0YXq@f|9^X$ykq_6P9P(W3oTPk#W}r0Iq39JO*U07~cq_X=L}}U` z6DH5lVhg@dv4N}>3`f0}3Ns;LHkc;CP&^RmWJ}YOD(TnfM0EF7hXy^trx?5?Bq6V` znzbHgq-e9e3syDEyoF9@$H^uRM@MQ+M7NAaNzv8=)1+khjbXvaapY z?({GV;{}UNeFtTf0m2aegb|OF!;&iYs5^VNsln-aCg{u26P-D}l6tpORaf#m$= zSvpmDX-it<`;kSvU7=DgltW-NZrl6jl~-dtlUj{BqcM@7I^`yRCp%e%^A*m;331H$`kN1-d%+ydt9Yuq7TExFXY_p)#5|j4YjG@?DP;mxIke}UEnVQ62 zL$PlEN#Dlxah$ZN2Idl*>`%>EMMMJ84O4{W$KESx(Cui9aeUq|Iq2W$FLr-^`U~lA zVwPLlgz%PCb8B9u^C-75O7-v`zKvt-pUbu7+4LX#c=d?d)Rd%E(=$Ahr#j>RWa!{|^~!IA_E365?1Z2vKo>pDF?$_*RjA#S;j2}iUv zfh`4CP-SyaXvO7Mopf2o5Q{i#o+vi)sE(Gm=Z|GYhEK{VJ|+p~sd*d$fkYTYaLJz4 zx~`Ld3VV8e&EKofhfjFLrQluExmv2*?MFsD<4CldE6O-Ve)`kO=gC{$j+Gnh4Ac0t zxU;uZ*GTw9xgA{b7mn>1?iPm~*6Ywp1ng9#_-@<&7c2Mv^vMm`>7AvCdoB+uIpX(k z8e8Z^5a209GmEa-;|`F|8<3o-wUZEm_aiR!CL@d(kNUqGdk5UGz2IF{KK++mn5iy zE8s(p3l#<|lW9&Doac5f;~zwz7NVLGuO1vCn_Bg^l}MW5R~2#u^WKEeq=Fh2aMr;|R@oxSo6bEeuIK@C)B0gWD=pf}IPDrcrEX zHXd}Q>HtY-B#iCc`&8`6Aq;lw@F|%>(7=W1P_nyW(|aiHG4# z38(wbk6BB~qY%`*P@VR+q&XSoX!!vy125i_y1^;*mGwL1M4rlS4g&hmFxM1o7wh~T zFI_SpW@L6(*}8Qdh?8Z|8ry`Q2Z=3qYa`m?A6@oXb|0^!PR@&V3=`8dxroSRW*W~J27bJkXH z^!S7|Ej3cZ!dC&f+~G35@!G3W$ENRn4g!lboWuK~Yz)xP?|J`3ko?`Z7o?^e?U<2R zpE;u~5z5w~p~7VG{a7TqRKK;BY;%FzE2a;mYMZrJE%L*BB6H$@Ip#%j=s};I6mnV} zMJqz@RYgc)O-6?|Ne^09sRy2*bsg`;uBr+!pEb~EZF0#;% zzNfeI-{099kBn@j3S(E*N=Ik_#8elA^{Chm;q);==ZF_pM@qOnMldZTgIqcDZv{Sz zYs0)}6@=cU6<@oZTd>|*Lsurk&=khj`y<0T8w+TT%egX(o+rD)iQxxX|_5bg%L*$DBTq+B)lAzMt) zRcK2?O*MON@wPc)Ev4z&TORHRSd0^Z*2ZdVm>k(cOEoFYj(~i%rGN4+zel}TR6-0^ z4oGGfNBs=q|K{Qqb7r9{UkX{s6tmtu9J8;Db zEtd+t1ca@wRfRHI4s0{|Hxfa6UeY}?7w>5lo+IN9&h?&deoDx(9L>2q%L9YCuPH&pj9X05-coO3xuA%zt|NbRHCKZ}FGFCSk#b+2xQq;4AuR;ESVK3dkK86u6PqTW z?Mg2OeIJN?Y)vz;fq4Z+ss}^b7xPG4z4{U~^nFi=qxqQ%xXw7{A$1b=C_@b7*u6Oa zjxs7Z9fA{Ia=7H=NGB94J$Mn0m@~!JcFkyXy~MGx%VBAs%3>@`@WUrtOG){5mh>RI zT=vt8CA&CqsB#szVQYTELf-7y2URvc2m;%orSTXpsysuvm(GCmduka3mcDjB#BpGr z5S#2`%Ica#K1QJ;SzVW-lO$7J;iMi~?`svOfz{Bx4o=_7d0MvD2@eqcK9rKbWJZPO z4IObIH+cZyLybJmjxX`%K+p$bwA#Syl~;6J*8o(5zb2Ah6f0@o{F8meEy3q0kegLz zf!RPR+pOO_^P^925mMi^(q;QXMHL78>Uj%{(djZS8v4mR#=kejKSQR4f_-Rf>nWzb z+^_Y}-gLxHO5g9Bm}Us6#=0X=HN~IG!{iQHdiUy*16>cunUdi18M4w{lhD9Xw6hNg z3YwWj7NSc&rk)BH^5Ga*rK57i@Z5_!YsdiKCI=)MWP@LUZ|1hevce#1%8KYYHdaU5 zBa<+bitq{9idJTH=bfFMI=qd<-c%c#yU6=_OfToI&CwWsv3leX@s53AswoJQ=Mmxx z=7}WoE|;|zVoC5)6)<6`ai@4HOa8RW{yJbaWLT83q&&u7I*Q3xNlW53pdGwkj9bY1 z&|2zh_VRy8RPr_J=H>W`z!9aMyEtp{(D%}xrief%6=~RPANvIplDTc}kKjmn*IBUo zsdSN@1#hxC(Kl#zh)fleEe3BmoRZ1tw26xHP$(M|jmTv`Z|WEf4zYn3yzBnR;73zO zER{@Woq3Sw)k0#qcr1_=A>fk{x?MtgIWnk;<$`QlzGh;vPjnYjO3Iwzw}=K-Szz@) zZyUmJo)b$JFYGMF3~#*6|B}T;w{!-F2ie&N%-z>GGTRa#Fh+MOBRQ`fnPm&rnw|`b z{NJ5-0uLnlyJlwJC@(>$KIBa`T{*ZU%K_J{J^(>w4BS}+j9{(tGgEFd@K!0euz(U6 zSD08q4H?f}s!tlwA^)v))S=>h7@{H`iD6?X^SukSr#|*gm(T4hi79Tsx0bUg1jS7x zeV16m!1NO1iq#AMX-v79vyIA&XaE)!q3tdvuF z7&vg{G=kJ*TZ4kk^ymK&`{sMf@SZ_Y9E4wTs1b>#KDiuXL$oA=1Nj7B{qG&GOGfs#sF?^)tJ_ zfl#?dC}Xb-JA13?-0lK$fSh7la}M*SOgxl;LCq?U-PC>km=x;&HHjD`hQLDQCNtSL zqBdX*%oN@MZzrl?pk=+v*@GqkM^iaoquiih|Se`;6#*7HE`UXo?@~ zv#~ql>Z&9W6PRkyQz&yN(+H;>oWWPPG=m^zUK&W}9|toiu#c(iO9@`gb)pR?u5L+torZe|5}Ded?DjAWN|@LiyVD*Bp|v;sPRX^`=@&7o?c+oOc~sI#^iHk^v7lp&w$*=#Gyv9huozG??7j647a8E0hV>iEhuYNmHvV zsSOnu2#$x06702!HuDwt)*d-rmqG~XR$^k<1oqNgWsiFgz6WFNCToSM$9mv3t7+vh z02zZi`10cT<|YG;eNPk>I*wlM9N^>i^1=f`Z1@)EA~}k4m&S1@?Y+unUXdthFnw&8 z^tw%M{ReECfk>8_>b3F1-!gOpjR%G)UM$`f%9scI*roH0WL_7;b7i7o#bBCT2-V>t zC`1I9(0@06r$zPty_$P}BU&Cz-~&mk{w1HGr;UW*=H`)Q>h(km*=PAB>Vd5{kyBYv zK}bvV|5Gj9EQn#m5)D&)uNr}es!H?+Ym?%QQ-z$wRb|k|+HZ9(YS;v&eQC%l7LI=- zUYGG#Cr4t!uU)#myR_X*(N`yz=&)%uYJlI?yiuvYCWR_7VWDa9@d2#tv~WH z>PY}6!STc=Fmd1AMm(VMkx)tAD>>ZZwW4vj|7&=t{Qd5aZ8BjG<^_748v6N7U&;VQ z#qmjWGB9cU?Mu5-nR=H3e$^S2wG72kh%*OI;NfX8-zt)A+_{(JGprAWa(g#~YKp)# zi(>-)vp0*)C}4@X*Dw%0S})dBL<%170)8Y8*oYskKA&WZ*##3tB0^Z=0VWA+nfFDV zkT)9V->9mFSP~$Uz1^QC4Y|+sldPrtE`Wr^X5)KkhMz*7K@zM$%cD2VzXOFfAZVAC z?7VnJF6-pa7F^8WD;C5*jDKd1-*)kXvXotFFba;zP{>@wD)94a!duF^xaXQiI8WYA zC8t)1qLnGL@bSK8imBSdHC&18R|7Xz0jJ+;63F6@*2%a^mk1l^%eG7-ycie-B8UW< zP~TBmeRjQ3(BN8v;r_zETy`J(977ULh)Ha-2Uk8*cJ=j{1@@>^74GE@k?I^Kdq!@F z)G>2c()epK;G>*#f(*SmQH}ESV3y|yEtR@>=l}}l>%(`4TW+bvIHNVvU`|`tSgJN} zk^!AVc1JWGIhd~T{_wry(x7NuJA&Kq{!^YWvku_J#Fq~agB;(l{d{DJfN#2H3J?JS zgzg6yrV^@w3CmK!zK{)&L0RaZJj!mc_qXHF#!2RsfdKzEapHc?F;Pjj|OF z1)E(~Db$>56o^NUCQdBdyC;=eu9whs?AHgcPH}ldQ<{;@&u5(~4zXG-$#XvKSeUhN z$Iry_c4bG5YL?$xykut8fgY!&7NY$Z1`t8sq%hk1L-xP3a=OOqg=DBwC2=Q$V>37~^!?1{-ZN01%W|;qktl0%PGCoAl5p z*;)vHbXGGkocHLtKW2|utaN-_@P%bn7kYEQO6eR%UpyXa4=c)$hd@fkUr$bD8XJ3~ z!51ucjeR&u*!cB;mC9>nlufJj`Wy9C7M62*CkW~{L+$@D^80@;BnP~@&7i6Gf8yfn z`FyvmgxN4czHE)+e)(2#p}v41{UZ2qJjGz%K*2_eahq#4G;Tlikq;$@awweQ)|kPNYROcH?a)CoN`u`= z*kJp6QMZhuDJ|CE{^;BTuiY)9La77-wamwA$A`*xvN%VL!s=h_Ce=cdGq{STLb)O! zLa22UDM#LVfCD$ajjaQLP{}tm&Vz0r}~H3pI?EhHcE(8Rxkv zXSHcR$nL9P$Lj~t)^J)8q{O^|{KSt%EtV{L4dgi?im&|wEPJDp=C>*)w&O;(LIbv?#(=GmDq;LK??HAC|J=cvUaR_>eob}g zej7zLsmrFFaINE^V9D0Hx^aW&hN4AbO1&RiTAH`t)!r}d-|CY}VL}Trq;{LShOMB< zZ^4$uY6uA+Xyfq*!xJmdZH9i9%7*k{L^5o zkF!HTQ7levYL+Q+@zvdn5A(J6?4A-L1~bg~0XwAcXbS5qlyTKDNDz;drvy2U#{YuU zx(**S9*eUq-Z$~-mAU#x1WvA#SutK-okb-AlBH^<0Zq*O^mcRuw^dmQR><3)b&N3q z8hOY|>ImM2=BzDVf_Hz&)Iszpeg%TJ#{xwANK`c_a>DPoKXhaxhx@a5;ZPFQZNCH#?Ez&Jx1bvLG zrgp3$td;txC_}#Ae1JS@p(qZnc!aJVQRFF;5JDe%<$p-Mmpj?+WJ%8fV~d>t^S z;*cC}-(+Q{7%L#UI{PN$Vb9^!6l<^C%Qn_Hx!FCB0v?i>xFV*z+_XeOzGrB!avId+ zmS)H+n6y|wES1e#RKaY>gt(L7?MwJu`_vXR9z_HhGRpkELR)w-?&@vPG*0~$7AmJ^Mu;|5r6EKFX*xXmu{8k{ zeLP4LAYmzhar&TnSr0yN{xl(`cKh=WZOTZ0*<1iQKH$M>kIdq{QWoxAr77kqF~9T8 z+yivU3O=TA#cc*GvVRiHmnEyEtoD{zZGM%UTbI08&;nb+OV$$Uq+X~EP*&;Xk#&nR z;X?Mkuj|(tEmi)I8HDvh2@NPPlw*(&1>^~adIy-1I2ND!;lzYBWA)@ zifW-as;OdG#&<}sH)wmUvxy1Wwkf}AkNA>hduWb8>|+=i0Y5C4a}LR3{<9r}4ySE) z#YO{Q6q|SCd-hR0Qu^H=u>bUYIs@+&BSBtkWUq~&q|8{<{pCsR{e%&v35+EaFh|BCV zhDdch6tGdL0PW?BT>rueSVAVKA9HZ$8dRiRj0N=kW6!sexv;*VBB< zLq&q5KEYS*NJf=tsb+1Rd3u1*Of(_N1}uba*-)yyns!_!pcZwmgG$y!h+3+RE>-WA z%8FL>G5tqL3(0=-X3=w{t?`kb8LS$x(Y5}e@!|_HYWBo8@N7WSQ*#qB-4jRDsArG{e0fkI(T4QvK-i`yfF+mnuM;4Ge1E ztE>u*XTmBzwa6u={6ypWIKjzcA*6l7VCle35=oVGY81qxNyJ zw(n12wLydvjjC^SG-IMEOb&|rN*Ov%$!2&CaItS%!`0kW1wr~F?k-;+$V@4!noa@h zqA00crx9u!hyY3d-MeqBb?_wMkfNZ8hnF)0&JOmU^#3$}|0%vic-b%=e!OF#&s;$- zvns51MDDm&_tb8eW6P>PmUzVNjA57(xg&oLEoNH(c)-}T_qvx4mXL{U+48;*U%`}~D zqXa-5<`am_;h45~))a`WatiXy1Id+5x?TfUY%QUUKieK~1<|q_^L$(6zL6eatG{3+ ztTl8q15PD8#`qkm*Bpm)Rw&XJaM8-SPKd3z*W%IU2jPF9(VV^)9J5|wLm5~W3FROg!g%w8jpxCDM=0hb57D+F z8uk7z?pBoW(5Jb{)AS6>&S^`9;vEUZUQ}$ zE<};ZB<5b9F)9obhlrtWYXkeDVOGEzOnCkc$oGadnq(Uk3&Xim=!@{|b%LM~*}7RW z$39xs0#1-rwgOIi<;SdNoXw}SIj>#OYXSTJeT)C^x;MH;gv@ua zyz+w=OBXg9t84*3l0~}FriklRJ~c7R`sxTZ+MMc5Q$Bu@W@LXstY5~CAV24!&HXZS z+Emq%7+Tv|I1c$_!fc78D%fq)H6cl7f#S`TaIh?bs^|1j_+i6;!K&NB18U4F>TmaD z$)#aIzywrw4;hSfRn>rU8Go*A*{XaYIie013+qK1( z+clEf+6D-;wps!;HyzB;RB0q;<+lL!|Li#btL;V{ja!nTr$)9{27(1|Hi9tu%~D`{ zFu2Uon)^7&FDWGeW=`=pTf`Ze1pl=kUx8VLAgJ%(>w<}Tgash62mk+ebN{Pv@PBqc z7B8WF!p~)$76>)+i2x(IHaWvSpAVdmCxuh|{H$Os@0trU4`;f|b5d;xKNtg}Zl$7bdA zGLs}V8|R;eNC!+PCy|11Ya27?qC+PQ@sLFi#r{w6%fiQ*uW+~$_D?qh$LVA`wo~t? z9u?5zFVNsszjd4t{HOk1Eti6jDBt!-149|jKZb|`-wJ*2x@#NN%P0|3cDKm?sXu}; zW<)`_jEAvC#)0X^KX`I<8p9$uWu4oFO{ePFLA3wW|3a52sZ#6dXKlahon?2|haK5! z*&W+_Y+g&#+F+|~Z_p`76ra~Rpz~FS z2V5OJcm`KOI;trF<^a;bZR2j4=>G5A^o{`VcwDLRvL6mP=C{%9o^W<35HADFrI%41 z4ASy>U(U2G*t$+lsw(DFXN+eNovZ(xP!&hi-WI+6-(UXVjS7XAqpD!37D-5OlKr$- z-S&f3`9(mQxH4O=Pjz2#iq`c`Acv(iuMu(N(bNUSicjl4EcHV7e+x2g(5%#pGQ29y zW0S^z38hFOal`)%P1>9bXQ_1Kw6=0x#AbEk_$R)KlDNItf6a>D>HzQjs|a9gHZ2NY z8d;vT3Y3d5mj(}hLIG_Ec-;1YMl)x&M;*CUkUHMlwsUAdq%7h%%z=$mq9eK}urG8% zh22`Lmg5pvr({N*$rI*!qT1y2bAV;_&%>$7xck}6CK>PDfnbTn&pnW7XLwg*B`u(Sl{BM;?J z7Gy61V;p9koYyQlX$FQYq$6I^V&4-Kd@e84J$x)V(Vq`YaG|}j%j3=x?2Lm@`HKeJ z*@b(4g(MZ_CGT^(2QX{lU|BVhw#0y^gJx&78#cm6PEkj(C<>+(JAO!-{Y|ivW-be?6z*GuGAPYEH zvq}H9xJG?trH%U+_>>ol;9+wFbQ@cPM`6b!gF==n5y)Dr^yr$|<=iF@(8rsGp{34~ z6pJ25`+xQSZhl;EB4y;U>VI)dGCnzb#NQ0scu_&k_X)3Cgm&+iBUlL-|DAa1DX-jb1Uwyb(y4!N@3o3eTrORVRiUSqb4T- zOlZRTpo6-90VxV=kU%;D1xB~<&y;0{&8e&fbVahvCE(f9<;jj^LEka00*`(O1bB3Z zaBH{545wB^i49@Z#K?cxn;#7rbTWrk)vQ0-sY{aZ+jzTj9f=WWY1z zoX2ak^Bf2DcQ*Xi?#ZE=tD!dI05lA#nQ)vr0-1{wQh}rqv&LX&7B(~n`V%9#>*Xv|Czd|kjW8y6yfn?Z7Ec+lUcG3VWjYvF7$`I#HW22tWkuuHhvEO@ z3NzjQ&|`4u79Ny|GuW!qpZAd}o$_*VWMJ0dP!yMQ3YBwrC}{XVE@+I_6AJg9eER^j zSttb1nH(IaW=Tj1hY7;*@5(J-{tuYG_>u=TsOyb^O5gZJv2(e(1iuLhrXr2PxiD5) z(SyL%N*QC9stjf|v_P`omJ1Zg^777nT4Bxv) z&*nh}_ui{|OmZ|oGK*f*=cZOr;TQ)hDPe3Hv9=+-&;8xxzT$o= zBsA*;EL91451sgiGLjqjv5RwNu7?*fSnbku2DEh4UD{bUv^hg?WqLaY?Z;cKygDwhUs#NaW*i)snmd^T8Y@!!lRiCiccN4jZ0EphIj!sZr;YhvszY^C?edCpC<9ZC1jb{WAS%>) zbYllRaLN$(h&Rd;^H9dgM3pyUTAVL{*cg6b;(Ihp!u@{QEi635y-%Pfr_`H`wRAdp3g+ZbpD zPccpWdI{&>l<5pG|A!RB;*3QNtu}HAT1EiPha1s@aMEYLpyT6lh|<4_U9cdSDfG=; z&2oErK%W+Lz~u->wb?I3B9#_mQ)9Y?I)A;LP_j_jcSv=1K_XLHqlAqr>(24D69zRF*hzzb)9t}fXbN}PU8^7EDCCb4 zNfbG@h_y8J$o$YZe5b2@=3@ThQ*n>5kJ3>U5pw`5Qr9$63A5mrg6(Kq){xhmmHa74 zI*1#ZnItA-An;J%LEn*n8|Zp+K2)w+7Nd5A=!ZMFvpdyv3cA3gge53+4a_sDVqTE+ zjgO+APZ|z5Z3vzy@AR+l{L(k$Lt&Vd7TUUPM-*N|^5}qCIGapPcgn~^sru}WGxB## zp%5waU^rv}I&AW=m8nR@G88rKHGpqaOG^&YM-^f|!exeL?FRL0xPk|l&mR7ZM3ySK zduxOfKLU?jC$C}$4qt-9u}e&71(MAnod*Z}Lv49Xzs890O_94QjDjECgDbAxK<<;z zgl?gy7S*0q6ta)c+Eie23K6PUDVN*Sndn~+3*I3zS)012!8c%4{zTMa^7Vp>Ld z^Br@Rvl}8j+pN@5O7jms2YDv7Hr*N@`#i3!OlufI{yS#=!bwUoL2~A(a-=HJ1LaEl zl|ld47ub#RRDWW65=OXHK_?o09L%>r3HUoz5)yq$lGj%wyi&Sc>R-cC|FF^rZF`IB zBOjK|Jc0Yae!wqHO}>W9t1;knw%6o2_X+9x5aFKRnn%tv2ySntIhfzGJb-CjdPXmo z#T9TNp24AR?CU{nVz83BMC9=)rIDnTNd!P1pn=fT?mztIq$<-%{KMQ1tFpO@D2N^@ zaHZNgHb+DRv>f=S?`oE}_Re7FC0rPPv~7IwnoT_|;JtBxZaEAoGJjwiOUs)D&hvSpR7VVW@CYN)M%{xl2vVHrK;@XN!5muhD_x7vch_nr& z`EPYw+9_dX?*oFV+M$AtTmzx7xM>%EYvCvXjCghhl{B>fR`(hP`!FGSwVa`SqsAdX zyblIrgU`k8AC*rZYN_Cyrm)G4VE;)ug(Ck{#BuwI2 zJ-2Z`AqCI)_zdR|jZrE{e$GM`A_gqkJn6;tq-1Sk#G?C=d_XNOK7*KA`tkO;*sQ(C z!=_9B{p$j}#|EdIc@yW-q#o|;Njd@ir*UGAfeF!r5b-Bp#adbKRP90c%lPuxy=;Tr zPo$m+UZZ1*$WnU;j{=x{@ooQcYF(wto@y%vLtB#%i=w;NXC_yL{vA^bo*HOjmP9sk z8FMkb=;FLC6F!-RO9>(i>ku2$AN`zJc@^(q9Un?Wl!qDnL2L!Q^{>#%36r9I+D9Pu zOGb0+#WN%b%bgY~XoPM^TckIS?_jD?@M2)OuwJvIiXUiwe@-mqvA(NSF2L|=Nb^tFbC!5bzJ$;<)X^HC2Qo%ThFidM7w?Ls}u-*s{j@Lxbw463@jJd8T?20A+J zxAy1#=j`h|`^u~!;}Rj@k~gb=GgGxXzk0Bvf?6oDkRmLw2{NXnzEfLp9@{0}2LR9q Q00AT{Bsd7d@A=XH08g$vIsgCw literal 100688 zcmeGEQ*bSB^e=kH){Jf2wzFc}wzFc}_KI!W=8A3GSaHtpzjy8T;@qEi-(+5lo=?}T z?y5QJTh%q{(+}_m5D<|6|0=-mz+mq{Nbjpe|J4s5|8Kt!p!jdU|F!t<_yLsnzZU;% z{omIQpt}EG>HFV5TP6D6mje0FUEK)^un{=m1LXWu>%H9?a7 zZ=gGkknI>$k2RR7*QYPbQ}Q4A6pY?}pe5bK4HuNwG1YQ zUe@<67xK0R&9?A6>|kW+)d82Gn4iXQZkUy7nRS}4DE6xgTyS$qU3Wf=8N1-DMXyop z5#)EDvJBAw9>hWH%o)Glgz=V_cyS#J;dLI!TrCZxq3<<0zL2FMdmp3!N!)Qfo}+~$ zx<_y0@G+-GUGLFjR_f4D4B&a}d^-}4_10ypQI@o}MjwTzq)Eouf+Qke)CCamrh#~# z?(?a<+s3HzpEpQ=BUd2c_8=E%H{$|(;D|>`(Bb}WWfbT{^3p4_jm1A)&8BI9mo+YK ztuW=1?u8uMh{XG^1=PbJ2@jCw(Gpb+=!+rRihASDAZp%?Kw?rbsKr2B#P3-59-=Q* zV7q2!HqYnvOg=~s+St^nP`|o8r3?OSL#&URRuXwNsm7oY2h{uN9;U^1h=y}`8uCbf{p_G+EH5S-7&_u5^r7FqYLLhi_uyYTyZ+aP*|V7BVY$weAvl7I!B z*ijBY6u&(effxZ?)^Sf=NGNBAsS%G{7t`Zy%DoANWz%H~qOs5|w|E0NGq8JX*o+W5u_UO}E0g6P8E9|bnMO-TojX`FViD4*L9}$%S z^j01gU09y4RH_3yDf#-`wy3oJkstt=eGK*JbRwwt4kcV|2Jtzd7RJ2+EIj^Eux# zzlXy@Od<1_a#W%n8*jQG)-J3KHQ4vJy#yp0tDK(Ec8p#9OPTHVppG2zAdHZRU6Gqzky+Otv};MXSQ2cs2=k-qxMrFa+$AjHWkD);!V~ z9a{(+t2m-CV?E5h(>{p?+^L5Z3mdBsjeTGX%z&)Q{TF1ebSN7Rg#LNBv0(cfZ@%6& z=h^{B=iB_)_K0Og&xMo=bc9G3JVp|ak$zwT;YLE~=u%Xcd=>gJz?8W19_XEAVYFNh z@nsqDwj9O&E`|5lC`Fp{)e57sMa7JdH{LFdyq)e0+Mh8U!!`S9;M5P%)8}*V7)9Fh zoR0OnfuKfPCEoRlqSMgxT=Q=Za7j@!%`R$Gi7CRCv9qt$1xVcTogdsO`i&V1V5E1l zltIm#r-7*FQoFYlvFLZ8qq`Jm?Qyax9>%uSSDdtk7YIIkZ&{U>93VAyj-IO_8m6s< zL`T=2fkxAP4uw;p9L#2f4Cd~Jn3G4;oo4jN1=OM(BzF{=l5S@Of$&|k;iNzTR^Ezn z5}dVaaY5Vt%@sGEgOnK$#@P~TAay{Z>|Z}ht>MfD$fiJ1hJrwHH8eeIrVi4_8C0q^l{N@zHE|Lft82&AM`+7@ zU0Z-UD8gZJnsM?VS1D2(mL;D7x=`mz$$rX*LSr+nl{2M9j# z>ltDjD6?Art&#>xa4dvFiG2crKN*d^Cp#qGqZ^Tiz?vbiky3BEG5q4m-dVD_#vVG= z_2Pe?TMPEf1O7}9^HO-Xa{MesF;QgSPcMj|G2JV>j{W<`rHJ5Cl=QeNqCDn{nV+W3 zzd`XqV$l6#=vZY(MV%Qe4*o(B9<~}rRmS_Rp{J)AdfkL5w=O+5YE| zhxu)kilo!X=*^k{ra_t|5`*7Lm0T-01_Xy-)DTjH>JKmiA2zzwnQQaVEFUhku^MKi z%m*Z7`)PdK8mQwihx}FBUxp!Zf%09W5JuIKFV%!}5A_?^FcpKsdW8mzb1}rpY>KRR z#wYIfzVr@T>!v?0I(6Z^pgfGfj5{|>b+j|+0@0sJL*~y0ZgtMVxGB$hyjB#9Rr|P1 zTJTWc`o}QULcs!~gFFf5+FJiXOmEa}lMk$|oI$^A<*9jq1tys3b%0WN>;0xBrqwjI zsbrj87pyZ=K%!wrKjOvIMV<_-P8Zivi4X*BAns&5GzoRtKR5Pqb#(@q8J(?5^T>5_f+#(1u7Cjyj5p zR?TFLa2J#=E;xjgL1`~whH8YCwel{QlZ0r~_nI(rMQciA90v+|f3;8@&s^lms1D?o zr@@U14+@DGLLazxBR+toT!If`Lr<%`%2Jcu3Ssq!lMMM`+8#-b}pQaA4EAbh7z3q5~|gewQGY=h-i;a|vv zEk@Wa2(aX2$?z(~&sL+aIGF+kIX`rguxeQ-GDw6eW$%@5#F1(bC|&@ij%3|x?Znwm zlf%C9vW}agEG?#>&!YpjDe9d=2z*Sw3f8RFQZiMARUgS>On^d&vo8)SJ<@8>pCzT( z)!GxX$)H;`w4u&7rw&Y>XBwV7k#B|?C7XK&C{pv;L!0d{tY_#qN|lZ205!0@oXIt| z?Ot*Sm5tnTaibcYbc#END+gg%_cWur4zZJKB}OkRFf~;0(^-gtRxGa)OKExtZ{icb z)C?G?3=z3#M`??Nq%EQWfTar&d+JXJz>m`*7hHn0CTI*EUkt%wn;#5n2&y@c@0phxVQBNiPm?%q*Mp zGO)Pr{v|dyseCq}!}z9=PSi)p0HS%vnnZr(XlnK1s8}E&6+U@iT0$!`=@LROD4`KB zZ+OkARl=6*P5T3?Br$Zef+o-bxt)I>%uz2~6&%{37T;FoF&c91#Vh_ilx}Q^^FN@w z4l3vlPuEgVqxnRpHw}=3i-~Up{`Qp4KvCV38Wc!386HdbxGbi)tYgir^69@!P^sgK z@8GqWf6jZRzrSgt6WS=|%@$ydQ1d(8(1k{FgEHrC$$#(0y8pk^Dd@5-8Z4^N)d3Ta7Olmm z-iInowo|P+4Iz^s4lB-$VC%0Y3oPz{bofD1@!R*!EIY_(MY_a(@G6ZV>RSU>MbOyu zP#ksgFvMVuofc^~T{TkX$#l|>^uI4+ya?vv#*Uik`s~_AnO^{5_5*!Eac5LCxArXV z&fEs!1Icp*AC^q*$FCgYgYbUZ=A1^lL#$*LZr3(3*Lm zFFF;RQdu<4{rbZwgE9*Sr+S?qnh0zz+%&;c<+4}15xk0Q=&F_$&q&@Png4wir1?WH z5gMJJT*-gEZ-|WllK})7Uw!T#Y-~q&_KbZJ1~BhiB#ZjF!k?V!onbn!7%hMg4E*cX zI46I-N|#{nnPJIpMr`%mkSTITSkYo-I>CZa7+#(^_z$7Hpj{_BixsY(A{`**rlm#H z+&C`c15*dpbl$!BLa2gdY-vB!K&yJ88eYkR2KS3!YTF}Q6j&6Pi>OkB6gcgOm0Xph zJi4o?Ljyr_SnhL6S|Q`ftepv}qmz-^4-ewn7 z(AC(am_G{W)!^m(*=L&)HM7>sg|8Cf<+LyKZ*M@D@kjO0hae;3XXs>KT*}%| zp>!pMuQt)12YO(IN;#d8SB`F1WKf667#lb}oD;#v;d%DOm?k5gqzmJ`pI$lO zmODIU76ORBjdxBKtAz%&Jux9BUjhA+ZoocaeR*7QgC&|y*BS`u@nC`pz@$c-Io$gK zoG<|=n>a12;MoivK{ekiG7G=bb#qUw^F9QY-Kl(hGcyE{rtyJaU%DObfAsNF%vtMx=#=(n0nwNZ#iJ9}zl zJQ%fh^!4&q1uE5VO`H32e2_r}`WTEr2wS3o{rASGkF}=JrgM1h*A1$;kQ)79MyL-i zOgO$4PcK~yKo!9(B}1NQ(dAf#8H!aV4Ob^7;_Hy~Ku0E>cesa@`z+%5*EByst>(is z<%Om`Q@?HlVzC#aj}9U6>xrE3WLEOT%?6ga9+~13WdIIv!ppr|dOrp;%~V*wFz-9B z@L8RUDGLSWS8dV)4FLTGuY7!#Ec{KZdhz}V!!80Mh>LhO;-ho#M-O5DfmT)`ES~D& z32sFs89PNlWYOr_c*Fh*R^BLch_3Fxm)CEm-h_>4=1G^Xp_wq% zI@pFdKeDIY^m!)jj3?)dL(Y83;g8&ye|5MrHjC}wFOFkF z9T-xQFIj)oK(BMP`caDnsI$`gT@5ylr{Ii#?$#y2l7;^41TF4x-@R3f9V{Ezp1bji zN*`y7l46Iv0~f!S)EfzdPjsk>ZGSZ*Td&T8cG@D+6^l3-)_Bb^^Q_ikrdrYY@yJ-g zCG=vXW@rc36IUAZ#1to^bMq|CeYXl0%Qg3D{uV){_{X6jJhJUan!N7;WYVz)gtqxi zGw<4q;;`=LBe$3hjYMiIfsN8hW6cUuL$&J?9z6ugtdM(C2)8On+PfEmX#ZN(-cklO zF>(F7pmMqkVmLlfvKA1}wimOgZCCk4X?_Ei*=O=)!GTT1*?xfFn#zQkTa`dQ77KXFabHDmPd@K6gh^e z5i%5RxZdo!Wx0sIsY0_O{LF#=FAaYFU$;fv5WJGyQkNF^g_o%f@EaR0NWNnjE~G~a zeNtk^F@wE^l0_Q_M{8aP%Kp{a?bkE!5|^GU6`=0%U3&J~ZVr_&_W`mW=D{>ZhgLI! z;$TujP_M)NhGZxYE6Wheh=WeJa;JxKrsB;Ja2 zsLZjeAo1ldPZ_z$hvD7=xO@^V#b=}3ucXFWu!Pl6h0&Pyp?Z8FUJ1D6Y`YXuz5)7E z1{}pPHGC&{gE@)EC0Ge%vkG9Qg*{M4KHxsU`igW8`U$sxA+R6@t@sBtX>4Zov~0JE z0u-k1Yj(m1A6PZ<%K(1GaX+tN17TRHd*`T6dsGwgKM8`pLy0jwzuzLHoj~FE3WgBd zb&lXmOGy!494D-9O21)SUq+)QG>^mX6g67iz4_)Y42XuIkN40mdF~nTz6B5smM^tT z`7i0Fc#DYsvMF!Z^ON6Na75E;Z=!6jX_f*ZLWZT4b-s4Z^3Ve@bXG9K_D1g9;pjiv~QBvK~xSXpw!iX z$e^94o9}!6QUVaX0N2EV#@+LbVg@3=GHgjgZ?Ppji{6eDj#@}`i#DTSl7PiHT_fdk z6Fpk%AX?Dtpk5p?!@ZHayEH{{yT$_Mm*eKqNyv=kSkU2I`EVqz!SgFSIy%_8nMlA0`mtsG}z0_(q{G zjr!N1_l!xtW!R5EV)p`1sK1Ht9C)47Zw#wPT_1;=s-TfXg+iP1IMrBM< zka{Q8Ik|u2Eq6yd{zXnln_h8SgOaBH?uK(Nv`AF3zbq3z1g2V+3_k<|g?a@I%YYJ~ z=3gLkE24LYdJeQ{L0fT(-KxqY9Z3iRQ5^A8YH*i<^1`|=Aq)|GI#MG|$AEW)VHUVk}K>C(r`e7#Bqc6YG zB*@ogt*EEB^^YX|TIwSS1A(y6`1M70S?luD-~(+N_8+DFLon2n$$o<#W1&!s=2f)-AUGV~g^ zXB>9$i2;v&dcg|>kP#)xtHpBjA4~5kN6fFl(KuFbDg5Q;-#M#C2VWS_;j6H^scVDw z;-1ibTx|=Zq^Tt5F7w5wldRX$iF@qyJ=*+`GP}qGrZ#Y)I3YG2a}%qwlr!SD;KrV@ zN<_F+h1QZ!W0=MOuvl;3kSdPW_9kJnvuae~KL@kjVL%J?zl*JnAc?qdaJb;p%EbNp zZ)sB;ZKTnrqa&ncs0-;J@zn6Q(7FkLO!8U{Oy(pq6p!@JJ5>zy_f}86+5@a^mnuRS7% zliinMzN6aU*z453Mm}{~s+8*+`xa#KZ_sp_%X?Vb00ZjsALvoow){;`kU->?-F?+G z2J0I(T2mXnV4QtLA>STtO%y zL$%tSh%=styq&t@8wN=5KY@p^ef%194@>`AhG<)*!%9NeMZKBTgdw~>z#(c+RCT@qczG08;_hX) z(2l@QITR98MrZn^CM?j1j17KP?S+d`b}#n)DN55;;Mnw-TyRA^nIP+ANIb*Bf5%E1!LNDbd^$o77puscCS z5lk}Ys4`a9qgt{%2)M5Z`3F5=<5;)=zbLu7^_8{=p9Od@Y6@&6usMbP!efdt;<0-f zXQ;{I%y$5sOtK7;+8f#Yy|R`frd2mW%gNVb(-||^E5CieOf0NX>uR|}8hue7i9=C4 zC|%{oF{|b=e{_`Uj~n&fH~r9Q_#rkF`BJ9!OG+m3RwcKk3h7YLNXB*mo%E4xb5JF;54W_M345$g8mW9D+SW)CJ zqzZeJ$qdO<5?XmMd}I3Wk_NX^=Yt6(=yuU@^|r$j zTdF_ZHv;=+p(s^9^Ag5BJ#m(ujCuPenhi(qn>#C>aTqNSijW2OYS}w_sF1r&V3w{y zmsuz_t=K8WN@@NkSy-3QdKCr58Jy{2SCigr8(=8imBro}6kFb|h8{=XKzrlK{5oy& zZ(lj$>w)`LqQUv3Y)w}a&|-jDWseS%0gzde&Fq^MyL9wl0#jnC%4YK(&`SO{&Bu$K0OPtmRrFqH2^EV~;vl^4HT%@4>o z(idN3&6gj#;4nY75S>Y}6?AuKzby_K&SG)NiBq|1H&aZhcK3uG>7}p=cL>F_$ES>@1$L$fM~oxet}M2KWgPQ&N9aaltBN zVFUSRJNzLCNtJcBmXZFH1My!t_Uf^@q~#dY&-F*DKV$?8t9)BYWu<(-!sa83xVi^w641TxoMGz{2u6-&1FRV5)Qg-nfWpw^d40tiWxhj|Gn&Hky3D+8w0^+5qs<=u z{(U|6d-D{}tJoMd_TiJgK(vl?%X4Mb4* zRNlnvwjYw@3<19kuJ|pDEw0@9)fpru<_9Rd3sUNo6Ggs^K>!XP3WTdb^+J6u%wvE+ zly(F8xT(rsCup0cCc+@Tdu(UV3JQJgN+Hqtv6Rn0s}3R=jYd9a-m(^EA76Q;Q8i*k)g`b`R=jA);O9-f&P zdT!c?h}IFteHHIu6NxI9YdYg6xgorUw%lo__^ZoPR)Z2YmA@P40OT?_3Nml+4gZu> zAK@Uh&FaInqUoC30nC?C(`#3fv9^IA5Ev>Z6J&7sEn-IvT}4h*AQa_ z4_NKnY>v_{;F(nYtcXNSX@soZ+R6SjV%5Rx*VX2?x@=Ulb<-xlNdjtP^oeM~ERxg{ z1(0Zk5%hJEI!xmuXsDTxz&e@+YIK##5~Nx%G+LWgD%8;eD^mKFijkFfA8%cv0t0&> zaVdP|DwUcFH)>74IvGyDG`{K$w0?_3G- znw#yt*`)qpqURkdZ1<#~OAgw}Jmi)f4}cE2*K|mFd?P_eXE8g;l`p4MC^5aeDU|g+ z4fL{S?H7Ob=Z;QD%~)hW4D08ogdC-?RrhuIdVrgQI$DcqtOMijW{FEW+SBF7bZ`U_ zbWdV#l98XMJ+4-X25Mu6s;{!( z%Yf8=S?*Z9JiBoZDnwBUy+u|KG?lKDa7wnR4}$2HDNHQHXVofZ%}7w@w1u_PI6O&& zW(C3dG_v10dgK*MrxMS<0^7{R^=ddsJOm6A{4?y2?OydCv*?nG`$6tfRjnN~9*M2A z(yDdnVghDQS>3nOw%_ASzHvSj3IK~ajBAn9=hjRfIWENEM+rTw9 zJofcqANqhs{8uNb@4l?Yh0|*fub1!8Ap6v=F08rkJ`7m{152AUxb9e`j<3@CNA!~} z``=g%B=#jfeH2NsOkB=e?LmR2WGzS$&S7MfU5w5elGj;gO%pdSzPonU3BL?k|{De+);rLnJ3VV}I zbj+=oI}MNG{Gm)PZD4(d zdrp;t^ntvXKs>L%awvTINmL=Yw>%_E6Ocx6xX%HaPVf4}H;rL~kcM-hlmS)*HaqL2 zASy-!Tfmy&K2L;QJQ<`R2;}@HItu>`!fUu*-9SGAbq(p1eDF#Mp~Q|lPBboQbSzeO z><5jRxN2d48vtkdMc2Dkr1jR|!(1J*W|4Dxxef%sjI0OEHQC*3_q!Bp<-32=f6^J# z(){s?v|-1ws;21XH2pm1s!|r}+hfJ7@fi{bwQ(GTc|xLbZqgS8UtZ{Z$6RLcY}mOg z5rkE#53V4HDTywCG-{A26pP>sS%Ox{8~9pZ;SsFsD%R698>q<3_bNRg05)XlsW~Hb zupT}11k7bU;zHfI+WFMbsAkAeA48J>m+=uJB0q>p`0kA`9@=H6f$UqrG z4@)N?^A|zrkkYF0Asfw+CYB7fo#&=PmGps6!3ji%IYO@RlI!;-X!9FXUi&cA3utCz z6Tc17Im^nQFdO%q7Lx3UdQ07celeW)Rx$_UgjZs}BoIvwW7J*PFvQPvTMGyxpNm0+ zDUVLMcSP6?PI-uOkqZC@lwY3I-})iUuV)hAS{2^q%=EE?Y$M~cWeJL)eV?LSt-?e)Vtcrp?xi7DmAH~cHTgzY*XWJYGg>QaxBbgGDa&?(+I#3mXq+NOx{t~E6$gcgp-<2oB{r7{D@FZibrTXgc`k<9ci3= zlX7sx6(ypO@Ia&dOYqbuz9gXFITRtB6HLy4M$JKn;V;P%B{$vzvWNs;S&ISMe0P5M zkj~cy!RSV^x;C(nW5&_?ateVe&v@Pq*Xi@7IT4fD|Eo)GG8_bWd++R zbpVm0GBq9kcW0#{K`!Mx3$8mKC1}o{{f#P=OUgbJ-nO_CHQm@iU#`j^GHjlEO9m$& zjj{szT&mvLxM>G1qN_#<=i9ccnvJJTlwM^@RmBs~b!LxU1mD-sHikNXCU0?&)qKT_ zEQaSR>?*r6JwC5gzN-@Zb>S`?BPjviy_`;&^ny$QWwNCk6Z)Yl`?|o4oERUlPk;i)H5x%*(dq zy{53VzR=gOvIYdE#K>E72&)71wqWyADYe!{@b^q3Id>EXF0ii_Z9;3hJE@Un3B4EV z$4)kcSua2irUHZ@$QXT%tWldM>OU-Qjx7~J+3+zaoWfO}5BA(LuvON1NMfcKM`4sZ zQ;49y0V$ws35UHDKy^qv^g)SVGzO#mxuYA%5hmL*Iq1Aj-b$h9z_(9y-s_04_|)Yf zC)W|D&@g3(z&@=yXpC2EdCiu-s0pc9yEaukz)~uhb;jP=$uo%%WUdUr3qyqcD^E}xW(G3yP8^gz2_`PJ%Tb2x786fR{Y3*%N2t>&VZGB=d zVyXs|$16|Pk+R37PD4+))ltp4PwqhzNWJK>VL6O@X4F?_-Q})w!_tt0*}Id@7}{$^ zQTTpEBZ&bw>8&LZMl{^Crak1mE!B_Et`irmR1EX9$+;xcLv}u6UJQvgE^KzrO4vU6 zF{wMa64aTUiYs@Gx*|)+!qJyZB!VOcmzJ&YQ*>T9ZjhX9JPL1sW*MRKTppOO;*{b% zYZ&j!<04629i}K=Vh{Kv|J0DNcH(p!VSK?@m;pB zujCR!=bm5JOHBa_3)MHZD$M$hT3?p*uEu{i7MO|RLTEk7Ro{DMLTNSo<+lgPpBVZq z(1NKDSCagTM;?t=!2l4DxyvxNPMRcJ1aA85#?uL|%Afe^*Ua3ua57vF6uofWfX(mnpSMp*sTWFf*kuHzB6gVFtAJ!aKw-Ult3k$) zc=RT6<6#^)*i$@I@`eB792w#Q+%sgdjq3fOpz$GV=)^Bho!8o--B`3a$jTb=FIj>z zNbwhSiL4Xz2LyO}&wE^!ytP4oFnZ$=Nplz>2j7w?MlE2y;F&Ic7^ z27u~sDkCWh=@aIyWKJ}dt2`A& zV<;Or%gF_1MFsucY@bRr|N|1GeqrfACXFxW~w#nnh|Q37%+Rilh!D32fM0T`VciFoB-9KG?7N zr~-2ACXMfb`Pi^J&)XBqmSyGbx&}}Y)g0(18BoJa4d#-P1y7N|BqTTsIA3?mFf~aP z{yj(;5)awA5-6N{NnDr0at1HKq`McRb1+W9`UB61k zT~mZTi6Cf8By?oSmkz^UmvFUcgj)k=D@p(T5}16I;k-4hVU&v>`Tw5IaxB zcO83U5_nr*zw2)wGs{N$67~*ExGB4CZ@n3?dr?h7uiMQwkyH|M{ zC|4-WOG^sUtw`6d+@GEmFTw3q55IGddoPs?M!&QIhil0rl77pQnDF+0-I}Mh1DYMv zK~LV>s?b6pShZo3K8dM${`F`|S&1eptXDlKF`41;n4M4@7k8pRqBArl1XjU{icKRL zwBIRW@2#|0ZCCCWU}utks5t~b05fueDQy5@E`*n7gwM7U`{HKZ)}yz^@+?2&NZLx2 zOeAcO^^<@y?xi{XS+TyjhB0nQd^IP!q{;n_m^P0?<^lb6su%|p_ACettgmfQqZ;qs zRf+Mu?7@(ESpN#B0^E*x6osPF@3$ZK{&}5udf8oVtmixR9+~+Rv|%w3SC!cw2(?F_ zQl6W6yjAK(`O|^v#2Dj$U);CWRI;!=7M+t)R9s08d?A)jH1wi-k_SYSQvo_!1gqaE z7L<`PT;OD{>zd ziwqJxy8;!-U}xc;&q~Xs9AQ&=)=U8rP7d@Po57Z;=(0UbtzY`pI^Ig`s{mz^Y)FBs zrpTjGFodA9I_deo_&ygbF+aB~?9Qux-|YF8{@+!-MssFDe<=|4BLcBurKqYKv z&IsYgnG>vGS#VACd!lV6Np&?StVnw9|DysT^t9FkF=k@zlCu2eL^&B|QXL7(CM?-A zY2O_e>g7&_S$XzljsYfAodS~eMeWoj2waitSBRs0Ta24nTW>EzMe;Tui~}7nc|Zt6 zYT;C<<(8X84zC|cimdx9KM1t~g$fwn{q14p2(N@K`d2`bB)=}gkTj*5G_CH)VYbEx zF#Kd9c}LKh7QFFMUxmp*2~qgm%Bdj4(xabZKP03jd=vzHRJ;f|fT-Y2TN@2w=Jb23VznGU z8n~AZwP~RE!9uoQs`&2QQpH*t4Kl=DBW41B5L zUo78zG(ml>r(LgsIUUWSgE4)tauN=#sbSl;c8yCX-X20I6`{=+1}B>R^IixM3Ws{~ z2F3iB_om75&N0FZ;mxR;VPR%JN$12^eM9S#GY(c%_N*68^X&I34iVxFYhrK$)M$QT zoVvNXNn1A)+ZW#Eyf;h!H}T7msO^UbIhM{-ltPQ2uAi&Rusl{Le-CgoVSte!AW{O6 z`Z`*%#>TLYdqOLeEeJEi3~5IBPK&y3H{H+;!z>q#76g&Z{0fksphh|^+Ynz#4;hY0 z@YG_(G=#Yj`l}7F8^YTSFB4yjx~2~|2IrGy1_c&brPRJ& zWw+U;-&!*cOuxOo(~G47z{Sec1L=^t8H4602V1;3BEo}{ZwR>Lnha-o%QoqEj!#UV z+kv9q?2W+n<(Pr$7SBwNhik#QS)`@F((hpL%RAd>Y2M|x8HMPXcGV2(8%912dLO31 zQRubVfp}kTQzr|wsOyKo^rHffc0VXu?d_>sdrI<@5OvMddH&q zQ{rv6a_gl!^3bo^FdQaUG8n3_H?EyN#Dp*PFb=)(X7s4a9T`A*KF%(v@_bl%QjyF) z8YTs7P#@`EgNZ-OYRC=6#*bLSDFV@z$f~h_?(mr8d?RNhRa>+&rj3?$R2H)QtV~{1 zX_|wN#EdW~Vl1=q=V0ix*rzk#%$USL`J_XCoN_?O@(ypGEVuBAVm5|@#~PgvGcUea;%B`^Am5Z%z_;^Uh9< zji)aonj-l^i7uoVMhxDlQRO2uqaLB``&!aTV>A+RQfXECevUTv2@)NVc_^6pd>%&` zz~+PleIo=f>y3wnB@#`Lc4Xf2Y&7;|7rDs8}#G^cNla|8Y~G(BPmzKv0PP zXZ`=xKL7t+AMAhj`JY)isLMYJjVIRlgkkm4>cUtRbzL6`<7c{N-`(gpKvJmU-^fV) zJsU2w>jG*|-1vptoxJZS*2(g1O*dGo1GrxgTvB&-F~|`wqxFtNYoeuwpn zGO{vcCdl`t7>IKVRS^>4LQ&0>ba`sVYx!o~cg%oINK{S#2en+V*>5i!jFj8hpUa@A zoPOT%sqL#gKyTX|cIUF-ORD`i^7Pm&wfrwl#(%gyft>f9^hC75)C$I?nO6;*7ebtd zq@KT9x;TeZDKfMgHbu(0f?P08| z1J)cbo1lfigl+NI!a6}85cm`HG5*^aHmwmgXuD))`5Pk1pLHKLV?qBGI?6qN0tEY7 zE(3luk4`vHOJMP8z+QLTGBi=a@$+AMU8Ju+&s#5JC^gD|Ew}*cN{AW*kFXj)=emYu ze{UKoW5;pbIZ#0gx$_WU1^db>>A34f=l7FL_ihY0l6^Bk@zS(sd2Ut8pszc6C1em~ z$m=$k)S!q5Z1%9VZZlIR{7Vi2qbOKs3yFm3?17us>?Y zq}HBCh0$yNZwG{8CtFo(LOU$Cm?S3bO9l+Kg7DB9rLTzaBg<{{@}4EdC}8`c_XraH@q zH>~~0ld2UyXWxUOeNZULDlv$2$3N@7nZ9r{0P>B5Vpig-+U1M8)^~{8oS0azhVq}Z z_CeRuB?RGrJzycA6ZM`~BsRF-D9xbUq*XsMX6enWhmWgogVkRBLVgu*DDcFv)6h~S zY6f+q(U00TI`wwUV|?(UibYarB&V>!!_PG~W3?2K&Ntl+{5*>~h4`2zyb`cbn7WYE zBw+*~npjpM_pM+CY`m;9$m@A0UPm?P2?T29-bzB49*s4h!4@*Z{+R9mVOS8}#y+1yse93-G`> zXt~%QK_(W>l@=PKV`{QqPW0hKl}e2_nDocPf2uEHrrD^OXNq37q-W*KDK&~I4ajId z%*6WuL}%lnJ4Hb!7LsYiN}_6j+=70PnYQ+KI@y0Mh?-=3z1v$6EWz&4Ek@Hg*hx!u zbPrnHB`qk)7Ap4!$u7V92c$#+o@ozBsf3+-ALBh_JS-Bkt+Jx>hlU@P5OgG(-Efs` z(W=)A1_(z%{^44|%OLV0%Ag?l`;3c*5crE9jMaLR%-X<4~vt@i%|xha%MRkax9ywIU;d^>Nb)WCr9U`0a`W zOQ6Y#wkkZkyEAnvqX?|qQU1(1=y4%@4+WY%+S>Bud{v`fp{k~EQgQ6#!?@skz^2+# zi?i)D31tZNW^l2upQ8(v2KUYXbfLJTE%J=zJKSbGzJY(S>Wnc{=fC_ zE}#m7ZLR-hU4YT#?9=8&)fY$l&}9z;g*n<06~R{aMQ^}*`pPHfs@I+5xn+r-rc$GI zBK@@Brv*PL_({P}3Vu@XlY*ZV{G{L~1wSeHNx@GFep2w0g8x$RSRoqXhv2Q+=soxd z%nsP17+&2NjI(HOg8A|}b5Mg^MHHok7~S6)n4CQF%M>ZC3jOkH{K_&hlM5 zVP%C#__NZ7q=_``48CXCb_iiTbu6^ZbN=SUa-so}J@EVV&aXgIu@38hF-uCC3GJSi zw&7iht|+gzZxP2wQhw$0$dODf^`_;jN&6bmJuP197j6lmMsPS^2@PZrNf!*-Y8f{- z>GZHfjDJZX3ZeAh({53*z4WQ+%N3<0-(b<2hqCwMo0dh#2~^d&v>vLtsklT-J!Uml zKIS7V_8xV#JGOgnq&>=1^O1Hg)YRy{gu`h`J#pEHI7vo9k@+JuF}M9icpM{7gCYT( z(|IlnCiFbp%q#oD@V$X_p?%C?e(6)y3|FCxsjg>H6yH56wZQHhO zc5HXlv2EM7*|BZgwmY`dNxpsuXL$a>GpcdbRd=nzx>p7NGm`C!X*1toaWLKB@XH&- zufNGlt~SPdi_xUYBDL8%Igc~v%Y+n2bP&3^o*%pg5h~J*QBM&3;6`PJ@~NavRj6{Q zywu@DyP^0G!G8$;Q^7wKfc6@O;3ek9AwKw#gB*WAi1o1_GSh9OP=eLSC9&CqnHvn{ zb7FiTy!0B77p^bmfLVZPB4GXqoYR2=`;u+|-Z0O#m|8 zqsTjr_;1+Iics@m!{DWn^r+0BJZyY@(-R@gx}{#~TFBmdcqmZ9oU3+Z{9;hb{k+yMhFgf%kQemh;;`CM_mj5HYhP*5G^K!1=$DOJ-i8O7rVARhJxqmnY z2;eMF>>|dE$a`;KOYKhy{DPtw+(-Rv?Qyk!JpSG$vB=<`<4GINh#1=j`z~;6k4?~} zjg-Wwct6@j2i*up#z|G~QT0`uBHdtlg}>rHi}Acv_vds4gZ1ijdkaH^POZm$ZDZT^ zOK&T%@``C?$*^EXrFZ(x1Kh_i^~y|R365r#E>T8sK|8cm=hmc@TI^Nzx)jg

^#UOe~LaZEi`QMPoLAm@tZ?y)S5Ob_%gMp(@GNxZ0%gnTx4J8UeL9;ybli zY*Trj`M&`wQ!J!yGv=v+I4)$JiRduZMzD7}dk7kWTWfgpn!alp8l6yl&vE=_iVuJ9 zvG#puDM0$#Z1v=~0$~y5E7cNpIY%f?A09aHJsmMKBH=#>P|g5J52sCJ>mTwqaY_nm zqh(lOK91nO-Q69mGZ>rDi*CtJEi}G|FGqJBshv4SL46tDW_?#pOw6(s>*pT@q=`|= z1fZ16?$k2$+D*{>=G2&cO$iFi;)SLcPF~KZnFi%zCQS;36i`rZGahl_$XxK27!?6{ znY=0p1LpqWmPbi9CG4cz8oR7Y=0^0N79<#UH7|-?!LhKv+AhHyjh>l_Kg_ws!Adlv zS#^}Wp_~5qWK;RwgWikh`*X_7fAjK_KGPk|~q*ia{3iw?e>ZZaW?^todTy`xa=S#Gq|BFNK)QGkPCR z)XB~LLWZy^wn8bIsQzdCuw#()LYbKW1oZ>EWK@QXvnxB+C#Kv1AG(9soXN^3kMoos zc@oC<}ox*+P--Qc^qv}sIF=71GZ<4#wppaU?{czdYtV%V~WMR=&8xeYyb@+ z)Nj9ap^g4mXOO3DYYMovFyTBTVr1#EO~Mdbew{Dk6vj)5UA}`(Fy$U& zsSp)*ZP5pq+Y98uiam-uxWO8npy%qya~FaXA=D(L*ApX>Jt4xqLs?KQ@!N?Yn1W4k zL_)kc#j#6JBrFzonyqsxhF3HLc6%Kr?`4!N4d&kY5;4CrPTY$0L?0;iaHm8( zHh3A9_cYsri`Z%C>=f+-`iShJi3@SG(82=fLijnvjiwfOWNs;FP>qooe6U#L4jxRf z$qz23>nL%w{}B9#;6D}oQvr?!vVMV?wzSfkB{u;>8}xC$ZRf3kVkz9LBF`TaZITSA z-fmRCcs0syrxSeG-l0iusbM!`m=b*PlTlMNZ*W#0m@~M+fekuwo>N_xkvjrV#kn^~8VLJ(j3$U@4=Vae)=$EUv#p+BofJwmRF zt=Xs~E99z;%_B+N0|8XrtWW0J8noE>GusR)s^fe{B;QOEJ=`RgH8T>&4d~kV{U`8u z{ypy$2}rLyWIlW_HZw7c5Hfmxac!E1zrprAnX zbuP*TymOTV!m3dlwPc3FZTJs>a{6Ww&uB|(ya(5^(=ff*GxZJd9ZAYHoCK+eLdC5= zFkpd5pQH)|@To4jED}3<4!2tA+_tlQIc*u*e0#lU610_qpM@Q`x$UH5l(Af<%$VUS z{NPfB{Xsa&%Esg9^`onwWLs)t*Y=oYp9~(DnSr>mh`)L(y$egXo-p;+!f9VYW(X^F zx&PP=qgoUwl}c(}q#j4Zl`_m-W!h5A?Ig%YqocIbp1$4&W1%nhCA+~~_6Ls6E#R5( zz5Eb7DT&S>`yT=?7sR)Ak&T}R82w4f=Bz1;1*p<*qVFPqqOkJsOhoY5L8o#gs(2G- zHv3Qy;9>{g6KG2)BkMVoWDpHIATWt{ehYriCP%%H|AlswI@2uB7y$8($qC9GnR78n z>xCwfYOt%S zLi{!nO!U?C@+5)#W26EI+<@^OOZf3k&2nTU`G;-y;j;-7S+DMu#0o5u!`UCBm2lKC@+Lmwxx3uP{J1b&G`ARhX>Vj0jaGg@g} zeSYDG2nIdaSMV}=bf*G%CYhAU(hk;-5qsZtS>6?EyL^kCqf!8g^nTI`P+VbYU$U~w zwXN?4^Vs>@QBmJ59*qD61GWf|^}d3RHs3#K+DO0?F2?&VQ6A2Usr7XIZ3b7f`xXG- z2dzj{PXERK8m8bItbD#T(|Q?NG=3_MpBE$z5=eph55XE%qz%#!n(>&gybH4P2z!?K|!1< zU6i#!3VWhaHrBC3pltgYC z8mVgIl8I}0#}xz$c>@Fws(Uh0X$vpQCX}1$Pb&rcGa~$-sTh$Vb;-fs+3U`7=oTsD zzfK5*_XE%dRi0p(!!T#%OtJAd(U*`2FQ;Vi5JJy$U`U(hv%+8fXL#2{1X-20T0r&D z7u8URiaH!_W_TWt0wD_8dZc* zF8yzoqy%+1gUFY6mu1I%^m^Y+}e4QHeW_b&FZ4`cW zXQKZ@z@_l8?n1z?`_qKqZa^NBkg29AzH*w<$tK+*(_C^1S~%9J;^Sd2^v7nDwEC|G z_`6{^&J;S47*fMyFkV79&^0vS3I$MTBPySttx5Iz8}Jq)PaCb)_tt+4?F=O)vcbCN6MnLlZYl4k7vb83o)44|Ri&|u9oGi`G~9FKkkNd@Mj*hzLU}bT*r{nJ zof@&5Suezp;!;DoOf1G1p1lLeKLbdB763|RWYubLw@u`AH zS6EAqvCHU?Fenw2amAPptr2Lrw3=UB@`?JFpI(QC)?I~uf4YQb@n97%>-jQV^avFoTb$3^8Z zO5}V_X2r5}op%ibkNk!%h|?LV#1Wjx%EkYF?pM|lqT#vuR@;|Hr~0O~@n=>>l|2xOGgEPl`^`x6 ztbs$Z+u6+0l%fOK!v(f0@day|y8*e=C0lRd`aDd3*x7fpJjYx-?bvCV|AVAp-~9ve z@sq%xy7o~%AsRnXM4ce8_5m`R1}YQPM`dhq-+Uq3lO7w7>^q?Z&J`L?OLlR6jmlZ8 zt6?|P#E5ii$_^cVSd(Clyr7pl)X2WGt3t0}4TS?iR?bHDQxwQmnS0nO)d<>mEdn+& zZ1*)N@U41pPTOV@rGD$=^lR{UhW)-= zy)k=XToeN~!v1MSw}^zzZAqvC_BPh!%4bOq zwxb->r?6}@@RTP8RK4Dun&c?|5FjgNE7!B-KVhl~vNO9m$ntci5VhDVA+Y6|i#63J zV;b9wQHxnT96OMUL&D`kTj)VzqQk)sMcgT~lIruhK^KpKmPMaJg-0LVC2S`f*nUfC zVdVUlRaisGOU^TiCFu2!64pZSzA4V68;endII$5Ow<9hLP?l`vKW6gOLy)WwM&y4# znKL5XZVVK=x?0FR7g5fqS_xv7$fnJH zj=01j!`sO^({wy^Pp{N+)P)FwmF5xb0AEp}CKUwMB2xfZQM#>HiQhb1%|F2e;%^(F z16g+5t$*@_8{(itWG#v^;;X3~-JbT-C5gETb#0ceXO!S0wK<79=F4rJBxtafQZP#K ziD%`9s}J6qe*qNc;)dCY0Qj|!O#I%dJlu88Fi6g^Q z->lK!om3$ad7Y{H04mSMw8PR;5vS3Y|AJOl%x_6ENUb-TKsXbSEX!V#;5U(G^b}{b z*BnBP7DIrbabNMr2FEEqmWVvl7-ov}gm4$59aW($I2i(NnWbVd`WmXRtbfGgHNoEW zlux6b2V5I;$=UC3teMfN&wU;Z_RJR=Kjv5pN&7rrVS89467L&p_Z7a+M~qQ6MBpFx zs%D{h@a)rju8kRwe|5@crTr11E{TBRP)0)*9|(1JbL24Wb;VL}jiNt}( zUl-&?dQd#k_(n4(ls2-jO34If(-{lKr@Ze&Zn>9h#(xofzM@B1p*mW9=lWy1D?r2O z#DF2R#202$sNze{Tn^$z>}bxkaIoaKYvl(qLZZ-S)aMtpUA>M}eX>w;lHsqpYB5^j z+sG&lUkkw12%qAD{bL|Erl;};moBp)DX=J=yU(BM6Uzok%S?pm0{MwTbA>uCcM{1# zh-svTxhGN7xzdJ&b34z=1_}dqnaMhW?*}})3(79!m8Ku>6Y-KH01mpOZx4-4L7L+n z3h`Y+n}s&BvX}9_qpz2^GrqXaplSjJpsyP>3T+Jm$r#9mB@ec7?ldMY)Cu$U@xVi& zYFoJC2`SFj*r1-KHN$BCJ^~mDxZJhGHFOpg!SH`Cvw;;>Mc!@&Z^{T$a3%8hn_;Bo z2mxL#_iRWRlkhQ|IZjIfHixd{W)HQGXVEll%TeNsD|CjQWL!EBo8tN)*IIUhXsH?P z#HHCPJh2dAr!g1tJL=HwD^T?(nicjiMDwUsVJdXhUi8Uao6@5VtI6C~e|Wt9&PejF z=4LjQZCu`(8t0mPNNv2D+YupPcBdh5I?558*3T%JnPv5eb&5%qfXm67CC1M2 zn1}Xiv&7Vws6}t+zL~NE{X~0H5kXm<>%C{~F@t)1kp=!kaAKjiPr-|CLf_sm9GJTC zMoN%j??6oZyIoKamOTSR#vGWv#QSn|FL!z(x@xy4tb0WEA_ zvcKm$zOdRM&uuI?I)!L)e11R`y?WdTxfavhqCF-^q3rdE_Evs(Q_^h)+5)1|krD1ZHUL&SzvP{Lc3@8j1e}y0k7@`v@xT=txk-C6kpFdJ zgCbwex~euvq}W*T;)6+Sbqxp|W76Oa4&5@isFuS$axWe)n}mhMR$Ko3!8}kbdJp=ou8Q0)ybmj%ZBjNnqNuUv{ssP zwZ@&}L^W8{ACjwm{S%jqZx)CfEE?6Nyg!{KG&0?DP#AHS=*rdW+X`iL%G#MHn%Vik zs+G7b!u0fu1dQ^{GIj0&6nsNg@G4fMe6##DB9UOkx{{~#k59(@bwTG#lNlB(4L-oj z-Za)HO$BB1Q5XC_yQ2M%#?If0dZBhYlu2<&nlZUjwTfkfG+)+?RuPO-JlZvY-W<3k zxO9rO>lJb1Szg2WmfO{Aw?9<8jLSF>1F#?{9}?dr+oL>*?>yzfQQmMpraQFoLP8l= z%K@;j1&T|uzlHNNdg>RiuM$Dp`SJ`mSx&J9W}n50?a&dNdHYeh^zQol#e|^zH1$Pn zaAj3)w2D&-M(ZyO9Zzud5dmi~GST7`!}M#bie(keskB-3y)94J?Kk=*UI}Qy<(11- zUi$5nqT685c5++bw#f2(&OWVF1uFGw6z2a623?&5X3=vVU5sE{m^T9+yz2h=7^BEU z0@w3a=N|8YpsmvyamvfiyA2&sLK8cLo;gobX)MXa3Y{+ujxoX_Xg2q=y@a~0NPm4> zQ5bvi?Dxlpsr=ukh9_n~N^+(YfdlGP)?0K0%UR|{(g_CQAS@C~*o6mXgvXbEm2_X& z(Ob#b!M8hB2OF=g1xU4&xiq;oROXImgXOd+kQR-G(8jQyJcl{p>+$HKt37k4-YcA( zSgCc}cOC5Ee9GJhs)rgqwx!$bd5tHP?h9b~QqyTSlKyWc zva?UjsC3P^M9da}XV&4rkH326W*qctnlNUuejIWJvvA=o25ZLJ1r=sn@Loz!v?b)} zbK_!#j+88f4=<;NPtScnGnn-7fpP*g_CoHS>=B8Pn*9X4-F&5lMe*2Ba&%RTRG_I9 zLEjse9e8w1Lx+IA^HZJM0F(EQ>>xs z3SFHW=5e@wia3@FVu2^1d{Jio!4 z(^sg8@hmTYJ=rAdfSt73%Swxy1B)47N~z|Wz8hC+tFh66xq}z`y4*1vw&Gf=U8t#K3&X=F zD@SucULl3l#%9Bg$Y<~jt6~iyufAgv+5gb0^Tm7b>A$iiXRi*KoDXRkttj{FEOXWu zFbaD^D8qpNK5Acv%8;_|{x@=#=vU_XfmGa-Zr^FmXcvQ?W|Npur}ZYZN*Ngw3!afU z3UU~>!|DWkl=${KutPARwwdt3%~_gTLXeb6s>65wtO`__jBuf%CLC+eq2J9_E)9Y1mao#~Jtlo7jO4d2U$SZg zcAv&JQqbr*1(TuMAtt!QkGWoBqB|o^e8aFOIHqs(u{rIRP+|9K5Ee+nE zPi3g>5{2G9m_fhnG^u8+z@H0K-(#?&3&aJAnkX#Ock=(n5!4yua(5Q*J8dF;CQE%q z!}dc*xOy%lnp^7Rnn^6vX?9|vf|pHb-@)!>U0oiiNk!&xg{>91-{W@6 z&}sdEeGpQn`@;w_7T&++QB(0o9Lha`=Y`*;!ILHk+$`5@{Gt670 zlE~!`x+Rz7JOp1cx{k+2xTz}kN7?6qLv*LE&gZ@6H5tD4i0(;9F6^EQm_cD#d*TPk zed!18JpL%!tObem{O@86yzq-MyuU&X%zoP;oFHXVraNvRV))swAe-^d z@^^rB>02;`{zO|h{!!aZZjCnP4|PRa4!u3ayNQ+v6wBNjynpr0|7tzO<{IPiW|r=6 zDK3f9fT;NmFC(CWNji8&?0Z}xoO5D4R8JGyo0&rVyxrFGn#5sKiN&xdNx*%!sR_QI zE2NoJ)zIc2zNptppr?+J&O&j#2)&XSzfw+VvieR#qZ^j%KET6#bZb0)O;oL62>QfBiAZ5CC*@{;B#(8&Zv-!GuCS< zGE;gz{mm;;_@Jv^6<^wHX{nPY$s;sNY^@Im(_rPK4z&diCQQ+=-!pXHYji$bksvXV z^;=Yqc2F~TveY1eZ_O}_^CY^m%hF6uvt{oYV^i|nyJ_YQYx7Uwu^_z!-tG05)r5O zD53RaCj|_dBguK6bYO*`hM!O)p3JyG1sfYWX{@V!2m6YtBHDZ*g$(AeERwLpH)73T zqJftV=7-#P+&u?KlXlLar>9+N{1wJj`doy)^Iv^jQ!}tkI#Axb`YY2%SjL zs=ft-l=KL2xmeXx`8^GtBofCMO1~f5TBVVBwlS;Ueaoe8Xj>@`c!25|h#Yx%M}_Hj z^rI}sf}od)=3QY1a1?Hy_nMd7_O1Bmj&8qsr0xSHwu+8D0)S{k5( zM&<_m1{YU15z~*j7p$V$;8XTtj6Izg!`P-8oqgyfg{(!kR@wMZdJRmZC;Hn2r(h;L z%Q|{)5|vsx?ulSPIV)nq9|-1R$S#yr>K6{b(~**!e>%xU?il?F?KD7QgKA1<+TMv+OO|2B-}Z#1nn7tWw5ZllF4YWtUK+HH}|13j`( zVTo)_0K@_l%6#rlnACvf(334DZnMj@OBUE+#*ECaUL=^xr?#lq4{o1aqBt*s%?z)l z5d@90-)(5B(`RFV!jeW9NBG?E@>aMcC}g2p#{c8)C^acB9T!NO2lrRHP76iQ8UR$o z`rgALA-GTS{yR#PxNcMrokdc=I$*mSSjYGi6q^?EaL0~er*Hw>+yHGOx zXIeMKbZP>23Mj+TiRhCX;Z~KshsAdX|MKArq9u0Y%+nC5?wQL69E^X$73V7N7cH4ALzx3W@=Lp(uaP6-dW{& zUX=?E7;p}RpgT{b7LlE8VBBZ=3C3HZ9~L(KVQ_k0mR0;OWP^Z05=-pBaM#aA_&Vze z<0`r+yGpOHP3anmZOsvncr{*Q%*JK%Bhv*FliQ!I=16E)$CA zEKD=8UiI$G)7QkW10ayO9FW+_%a-^XahiOaWhXzd7g3hC(vcUz$3phdc=&J;3w8b9 z6>#{(xd_~5!P4Hy6YJ#6b@OQ?l$5A4emd-b^<_PG$NbKyFYg?)(AqnJW>w&$lD1Zc zeg)UkQFAa|^ib=JrT3d0m4l^}KtPSAO-%Jj1fC93HAvRV)Kd_X{94wte^zcnW&iLk zF5gol{ntlK;5O!WzBE1Jp@jRxTDf_YHF<|XH!_Ek(Gy~YmZ{@2f|pydWG^ z1@LTOhiiJJIX$4ch`~Tz6VK=|!*mLUeAj4~ggC4b1;QR2@cxZ-J|a43NdZ4O z@_qsZNl%F+(x(k}7Az|B=U#+rR{tGCTDk!u+rNbfEGHS48xhte8TI{w&wqhBBQEf# zBP?_f%E;hx>7N5f^ixE*I-We_03_r%`@E+)W|Du1Tgu!+G_Y&ETlOcQXb;qWmca)! z5|JV~xux85F9h0>ABe{%*WJW2iU~cC0jIbdny>$a)Dv2KAky6(RGHoF*_0nY?R6(% zZR0MH!tIylEzO;<6GjpL3)nQ12&mlY^%eP~G7HdZa{d8II7rMvH4-4bKIJdIqR|G# zFDeuc{N=)>fyRBPXnzu|VSrDeA{T#`KRk?^ru_2 z`|+0nXeiigtBd@KN$Md}A`Jgnz&c`^W*?caWDJVjs4%We*Nvg=6@m1X)vKL?Gy59m zGw~;oiKSG~WUXE_r5BnFB!92%o1)}W+uLQjD*!z(;~hK@?;Ct^LPg@4^hc>70Jyxt zsCWi#m_;rB2f_|ioVZ(1znfCnO=W&Eax{saAA~?)x_?wR6)^DuZzWfExreV};0~P_ zfrk2B-?IXe%^0Ddq#|s$5<?pMIg#U@`Hf-!f#E*iT zBneiy8}w@A_%Hqq0F)lAwrSdnCo>1Nj*BW5myTLa0_q`qz4h zT-g-LndZ+x%l$6O<3e;`@Ocp7UJC1)yg1(Jls#XCQIx*C#*%`VyH9K5De^h+Fp!f3 z8%UNlX<+5mfLNLYnmmPz0xJ3UoImh^owgla#<*;B2E66x4 zV3d?A-s+efxZ$uMUn~wqUCX#biH)sMiZ6F-TjV=HRGsU9VDQcbvg~tfrRM%K2KsVh zI5r8@m#lcWH-e*#&B=o*HttFqk@lmbT}UH!A8=QuVQ=BZ?ikq`z0BMmfi=htH8mXs z4cu!~fGtD4(S&VS?l6i9t_WXAtvibgx(7eY6DL-!qaIIv?CRRuEwtGU>x%cG^O}-w zYeTSbMWhA=)7E9%g0pD~1y@PU6Mh3jwYRUgm(hT>r5E~{j*v*pd{z=0N(*cZPCO-{ z--235=dtFpXp*F`R1Yz|4uNh0|E1H>X9=})IhC~&9GJm$i_T_oY~A}S8OsX;vg)or z>T}pLfCY3|e8k|1tikEvw&g`q625n^-g3|Fmkv^1Wl3!?qZkd4`<-D>>*4lmjnO~B zAySUz+8av>ra9K^x5T^)N2K!33fz<%4HYe>H7Oj zs}VHtLuWi~8ns}bitr`iTK>}ihs0>yhd0S)%1jm&c;BT^<=FIjuCGZ$lqPk~(2i>57UE`v5KK&&XfwO97l>JmL zV*^mkM1=C{p@WyZA~uLm7o-Gh_6Y7A*|m!o_RrL#0flMyK|$^|6eUe_mUzG@sE$Zf z_n>Fa@(vGe5EyOFi==723t1x=GCZl`l@0UX)&d4-SDl|N>i{3;%(=9WJPIb#60U#G$GhR-Gj-CrfS3vI!^0|Z zRJro%m4wmCH?UBwyB2)#H8&5*kL=RaqGts$A*yu_PV|U78+PUhA@Q%P$CY{l*i7--qVikL_EP>5qz828{{f4tY)?!_r!=6AJrc4jYX2 zO>c-{$4mFO73UI5O|HBBgG*jc@_T44pEBYM)kAOpmkXS`_76~Nn3PD>!dC955q>jh zNMIjcHe)P2GRFOyX0&hna;vEXD+vAm+nA-xf-yT(DY6;DJEJU`oy)%@y@ApGv!BLU zwNM_FVfxSnSpsu&F92_iNR1Lc#M&FeZ>%M1Q860^3sZtfP#VV(eDF2WUIw7zV0j?4 z$cW_@1%cXwEc7o0u#{{32OllU9OsSiZb~3Fqy>_5txLORfbVk?Y7%1=Ddwcq)7xsA z9;Nu55GZvNnxsh|80VF%J;$hK68GN)-#=*&eW2l-C9Pfy4!Q8aDRWPIx)!gVpFByz z?d!f;5+m?y<$o*+GxK{4FArSkV%iDY1mX+k{jGaT8Odc*uD_erhE5AVm{?AP-4-edzJ)EB+v&>v>2*qu(f(bYuOVgq=D2vBGy2$)g4q*LZPoAf!Avxl8^)3v3;1bbXSZfl>CWNr>X{jkv;V zv3G2)o|n9+HzX`+W<;O>qi6HZY>G+N_eppnVN@g-FiGS=mm-g_xH!aVmOX*phr(Q@ zl7f2}Q+<7jre#6~5(g*rEnKx%tt_MVXMWo{>3vskK(aIav__gyU!bL-jlG5~T(&jd7Rl?J`0J#AG|mVVzi*SPWTMog%;AqK_f^b>qf3aSKTTMM zZ*7&w1IE^vMOWV^;+FGCZx{7qU+(7;(=mvUuFB@7^b;}mpmbsw>5p(HI@^nElpY=v z?~0p2PNALBXx@88y2_N9Q);tOJkcd?8#E=|NSp`VAlul<@}WQ`_x-3wG4n72p#4)b zG7x|8#=^~ft&aFPdZ{9YZTAFAz~!$vOPg?`ynf(1HO*hHnYOYv_*a5wR=3yWz1CRZ zHd|mk+TGit)E|nH38RVXoLiH_s$z<_9xB(721xSbIBE357#$a zKJh_1l0PEHEkL(iQFcEjksy>tw(8+wlC<$*Q+8Q$B4sF+n+OG10~9aUDH6&U@gd~X zC^WaW(%-dIo?dcY7-hu6e?Ftl*A2v-7!^8+Lo4dIvnk9O$ow_?wMQxgah8#-Lw=1~ zq)tY;67Pt;RE>G`amgIH_1(7_O`iN+XjIZ>PhJ06wn9ut15k%bOF$eajSXOP~e6vi=tIzqV zoO+6_ae^D!e=@MCxhItd1qz;08FMsk`O6j@CIbY0z2SXbVQCbX0>#XCv?)FHs(*d$*jib zjJrJ~?%JlF*ZSNTpkM_@C#xD@O`0+GwH9NK@Bu0niOI;w_i+)U-}r~q{GC{P8yAsK zx+}rt!a)@klt6?sOYkQ3<(qOI2*kM=>~=-%b;X6>Y2QU?^Q{b%w?OvL?hH$?U6~en z@7|$o+M-kp(2km{fdPFHs#D3jJc86hGE=~0Ub`V97h62ctBSnIyERQ)DB6gQz%T<@ zC_Qjt6e2Lc!5lld-EjnEx&x}nf}WmkyAak~)`>EP^A!|8bzu!HC&J{k7RtWf%e&f< zVGVQK^=tCF|13mdR2_5-;!f^}`Yt`=6#P@Cgzm1KDNuY^!L?o(CZFg&Pn!lPS|dJA z8HLdo9(IF-^2~kJ@o-)+PRsm8M##;7A{RncGfi5D&ou`QUhXj^y9d&X*UNfT?#T90 z5m7yoLLNkJT&hB_)0Kgnf#aJy*_BcB?Al)tF*@0t8^3? z10STb4@`?I0|U`i0$p{peGEf_4-Usz>+K##KBOLV!vQNzrX1G3z<&~G&a>aBLqZxy z0kIuWui9$@4Mlz5HN*j}Ea<^eN+lNanV_`E4X^%%2^6Ovw+;;g5m3x6bE{or?;|^6 z-pY!x*T3cVGJLn2o zXvyljYJ7wgh^hNX3tQ*I;|Lwlthuej61Tev*TC-=%|z(_jU`>nHz~~uewhMRlVKPD zeZQFV8hSSO(8*T0hJHh28 z0#FXSk?~}25NqH&Hl-0WXS;=zF?E(gZEI=#y>rP&QeYg(U{HeSPU)gVICJb)icBH$ zG>mHi1*CO${}7F0ZXfXJM@y(C4|O_X%%>RoObhR5BlO&ICfD`$v`790m*snAMrm5> z&|}p*H{57y8GCb2VqYj5PZyi%Aue?*#KY5Vi5Y1=Iw?hC?$BI&;^^DVB{jPY=r$Oa)129d`YyJX(|Ib{Ty3rLE&K4C*^QVbA7BI`Z@{sVQ-R;* z>75HFTQfjey=ZPdF?&VD(3i9snsCBZMw3x3(hXf%@b9I{59Zz`+d8W|BlF__cDsbC43v9rC@`%l!3^Syqzw7al(-topgF&dTvjq+i zn5h|UL_>IsQZS}qY*ulqubaxTsGvV>e16%L#%hwtUEm=eE+!)Z$eso8Km);6keqa_ zl%_1U!C2?1jTqoPEX!^11Kq5^?~3KW`g7{F3RC&`#mE_@$u<>a>MuIdw`YP4y!LwO z0SQ5ibJ#gr7gV^ykCA;3iVC`t-W#IKE2o>ZpTrptAc%2KMYsUyDc$oFgRTAXO zm1Ff+69!Q!Ts?lwi#(j1R$M||T^fj#2Y3LjuxfTRef(gRWvUyNxIa^!U1538g>>)( z*PlgJ$$jK`srk>hn2rU0jJ1oYQI=3Wp^BOC^ zQSZ;=scDc2b<3N(Z}K;RT1Z38QOyoDU1HNi6?3wN{9=MDIJl7CMBZw5f8H2u>n@n?|rY25d<=pGg$k9U+y_e8+u zhmIBQ-(D1fN2nowxaLD8JjOud($m5p{Zg6QwItMgzT}|UXXbE#WE3b{PqNBC#J~<$ zSx=SbTcxVs$?E((cH_O=0-atj^^*2$<{E>JexHEut}-j%5F@}i%hy^;pN?zgddAn|n#V^^{drXyk&<*pJ~*lUBsO{r)R!wSdQ(Ao1#9=szo zOi9b?GHC()hkbd~IDjQvPPF6AQY9o0VDG7fIgge@18b$hAysSyyOEi2GGSbaR@-ukEs3L*Y`JiWUWn7kwobm;E{xT|q@R7C#nUV(b>x?{C(B*(In5_lyRe=Zv zsC+0wjU=aWyt?s*$6fV3g4+~xhLw6KS1e-XH^8Wa!y>qzG@1C_-Dl-=0y}FhK*GF) z6TOaoPJFP6p0U?Q0+^;D%a&lxoFxAZm3BXP2H5>8iMJ(L%3z^Fp;KaO{^HS312O7+0k#6dlQ&H~y3IR|i7r4IVo&GI7hz}582LJ7(gkphTg+I*;O9qL08R^Sm89pOQ zabnq{LWaq*=_!3Ir1|F1crg48b+SkbSdBPES6ysG>}#YA>VyaUtxe$8AvDCA9^u#S zrx;4D&4??cM!q%1H5rzLYRv@~u*Y(y=+jgp-Jz-0ZqlO?n1YtQ(JVe;0^g>7`3Rr_ zgnLVw677wEG}{Wy=v&JCT$ji-hBFtH6v&fjnKr?C6S%%H$K~k(ggMbs_e>D zaj|Fvs;n|;&~Yy50U!aJ@{tNGG;H5}pG{t0-;bGs|Hs}rH3!;+TRVAT+qRudY}>Xq zu{E(LwlT47+s?$cor&|k-^u<9`(*b~pLBIqS9Mq4-D|DOm`s!CqyD~VoF}P+z8Y5* zwrY>Sw0qHo)$6eSeP{$$2gzFPiVTvqZRO(rPlk zfWwOUAbM)m0ZKv1DKv33&WOX`=>HdrC9F#A*}Mf!TF7(exl<+z3K=-@4L-NLgV=&m zp2-?H4gI4}An}l?*~k#_9VP%_Dojhnn?~F%>C)~Z&^sHl=m9yf=2GAM@ys1g@g7e>m`{NVb;e9ogzQVSJYrLHqJ}jhdI2(gg_JC0X0gDlK(flJY2=5dVk|XOS_^K867&2px(5qXk=dvQueeh;! zzjOuKdUZS3+0nTZRI?w?4OJB;uu>)HO}y3M0YrF2I{gMw3<@dXu(8GS)jf=6R#@uu zKBd&evKdZYswKP(tz6`hX4-seZLZ`izEd5C+2psbYJ8%0*tGS33;-c@t$h`oNX~FP za`am~BdMxbP=Ii%zAkSD@gpI&{Wu%&5Z+%Y8ejs3T&#x*gtxF218X`H%ur3@ZN!K4x_yl}_lW&zQJf zUS_+&iP-Cbp!un2xR4T%7Ay5O;o4t4#7Jd+Wue{id*(80$S}K(KB$1Aru?FVPI`V; z#phdUm<&7q_}MQ0*YT0uDLsPY?Rz=3_8JZVQejst(Uf@F7cZ9>e0%SI%WEgiccFeT zZMzV50(t?oiJmFj1B_Dk6*^dRcQrT0E%^t?oSwK(rlcYR;yBBP7a5vF+ssn~R^{jo z2^jDKdEe2RZEm33?lWmJ@1u^;@(1r}pgfF_XQDoI|NG=r%oyWR9>>?E3Z zK1F+sks!y{x5w1-BL|G#rzG}9rp892Rx*Dbfz=XoT$>CU*C@-b%j9AR{Q_rfw}R%) z54drC(&HU2wq}hw*5Ci>(BtuqL5xm3+6n`#dn@}22C<;8l#fiHF%OyVmt&caCpi$% zV;`&jsAfS^Qg-oSdA))^gR5tUrEXxLLG78M;1Ly|0j2It+Y`h6`F zATVvj3vB{p!s#r~(lJT({usT_9ZbaOGXsx^iR+<=#MykLNElV`U|X11{Eutru74tZ zYXbT+6a;ve&1LvA15obcVo11~cDzmJw3b~uakJ(HLmVlu%n|vU?oSJc5Or{cI@O(e zVzKg>6N6!}(3u7j7`IGYRe~k6o&R5t5^!M3d>4tZ!6u&vM; zk)SN3c@+K*Ol6v+Z=?(Xogn66{)DX`ew|R+po%hq$@0>@v>ydnR16EE|Bclq3%A4O z>YY}-o^k3+{B@X7OC0e;)zL~NvbBU>UiBQwLPGVekQ6q%!}QhFZ067L3!=msG&zFSe ziYgUwQq%7jM(nC}KP7XKwgc7m6XG<6=tx`#3Q^Tp^nZ5=b;$sJp0APtySGwQc%4m7bNHm&`5cq>pR`>o}RUZ|3 z5q{7;0j%__8;PYj4&3kw-H~(9Gjz!sUrbc#k@ECtX?GLi5fpe4A|prjhA0(8#R-!j z`qaC>?NpuHSh(T{>}W%1nt)?Ek#IKaOZls0&4x7N`opJM_F1V~?I#9O9jFRgjSMwV ztR7Y7^%=T42!`mkZ~~?+ilTJF{Z;38W-}`vIh%^1N8G{jQWmk_pk64&h-WW#QgJ88 zd>Ok61{PE;MDdcs2Ecfy%1HPEZnb5(6?$u@yFma9a{ zI5aEIo@X&{dpeWbl*)f(^q)&6D!0l1h8D4V>K}_;0Lk}?M0TiuwuNn4nz;|Q5FQXd zu^>2&Yox*=4(jnElmjgofZ{_uvA#gOtPajKBU1BFA`ZSOoaOMkT?#R}`& z4>uazs+?N}Rr#r^OL>8*$9sjvWtQ5c+b3=ztcvXF8W~q)t5^_Z?crOX_h?dTLurbk(6g z!c9zMv1VIQBO0K~Alr1FjG}NjI(fNRE)zD4K`c8R%%7Br#viWJjGG);Uc5tI=!PpJ z592$OH42+LLl91F%|F$7!JSzzauFK11Z8Vc{Z(0mksFX?eDb3K%EQ$9Q#jiRf!(pr zeIuLnM)D2W9lZ^mkGB^#HpM$%#VlF>)8K39)x$N4zsnyRkUtc#Ke!>kd66MJ3!R$s za}E2_6hZkn%(-slI~lb?Ut>2-wOJdjUu;RT1s#;}H>3)WK97wI#r94JeihD#7B~%w z`r&4hXe;v8it{g3X@evdv;odWaSJVT(<}v=3cmvC@6K3|oeR<3ub-9WYS#X#($`Ai z)?Q{Djy4$K)r0_#6wJdd%xx-7Ze=f>Gvx~>vN@~775kUWh<3c`R1dDb%6v`ktVY2V z4S^2Gj6|Yh5p*T@)#$cSwu>vAIukWejAcR~6SLR)11Xeks=44+LX7W7djg%y-_L8L#>zlI+V9RYgY z2(A*>W|ovrXke{e-#f|K@lN>By=4US74o^1;LAOSX$biB&^ZdH zL2~c*GrN-RVh#VwR}Il~B6N=gA+y^K-RGIh=e0_ge$H8RzvZ?UK_iah#`+Ti&dlGf zZGE?#ZJffj{ zX^4#*O=IVfa<8A&l??|7%&lT6ATyG~A8nG9|6}n!44!2~{p2Ee6NDm?UO)tl{-XD{ zDA1QR@~UBo{7@ZtgHJj$$jBuyszIkN8vaW=ai%ro{Y%L z9l69RO-pXm`%IJD=qXkJ+q9ktIG0I}j@RW&*P?Ovp^*9oT{> z7Yq7NOaM9O2uCdmn|wOlfi74s#cRcTW~~&-PBEvI+$1qJ5642N_k4A1bir$dbpVOVzw~92NM2?G=XUzP< zI^P~e>ug<5QbcitQ)6FyPT&ahv%6iZ1wWN)Mx6(mHDlXSuQ|lvVOl`|ad%3I?M{^f zr8)js+1GPz^m)@2JWStttqorlf!8<4G1Pr>*o|9Bq4`9pfV$XgNAUA`Vd3@hEV?aZ zlOJTH0JvJb;&AP0K&@p1d9#teF#N6rq?$iJz*c}>{7b`XTvN(-!UAk zvM0=<`JzGVgpAOu_3o-I0>E4BMt#ReZv9qV|)7mMh1l`@n5_U=gJJEe~mb=?AMX|^lWUUT|tlV z>s4OOIxwF|-iD8RalLkefGu%R5xyD;$Iw9=H19p>T3}&WLS%Oiw}uYHfYB$0kOd{u zNM7p+9xhMd3p_y;T1l2iY#m24)E}ZFmF?-M7qt0PH`=j>gVi`wPFV-?-r-K!9w#s1NvJw_V~=lmW26DOmA5sB42^ zI&YeTe23Dn5k!xQg7kWpe!V%Y1)QjNuce?W!_$!ztfhjNepS2ckB9)TUY=upZQ^qn z*0U-b-+M?M2pg(p8Sf`n30($F^bK}PB56B~@~~@IfX-rbI*DQLfMBgE;JGK-{;ORb z0ucu&G(wTQ-8#DnPx)ak`QKyLy?|<~l`MG7X;)^GdEgwKf_LfVZ8xb&f(qkQ#BD8OdR*J z7-=G2SlsyKfC3BomIO{cN*l|+J+RJQA6#;X4Di^SWhI5`RU|Z27OUA`+$xkP_tmSL z%{GK+VahNQBSYpdT?H%Sr$wJbexZR0$oiKpQeuPPe|9m_9lkgShX5>y+!kNV-3l0f zu23%MFYTty5;MoO1ZZJfGZuP{o5Pa_h1sY7D_3ABfUQJSZvMP9)rA^vkGE3NG;w@; z^&|(BG92D}Uz9v3d^Q;r{70?!a$zWH8S7TJrBP5+E6Qoj6faG7L%=1>NU_?(G6Tvp zR($F9wJ8J*jE0US<3Nakg3CN->s9&Ih4Nz6wIbCa)N!a^tv{6sA_=#CKz39SCJRd; z@*AS?RqTZvQsIvfW3@y;(9lj#9zGT~F`0Z*0+z^zr77*4D1uIOm2P_c@Jq**V$6&1 zQ|tW9j<-yEnCR29fBF<0N8w7pr9E~vhcLWz!2w}nD=#4`|24}7 zo{GErdK*3X?b2~kVby?n=$bPo5rj&^vC;1rFuzY%U7bgTNcPF>O8m7MS^C2(hmo*$#gm}WKB`vdMikWh3Eq6Yo!?09!+@Gd* z`b0TOp^sK4w?z(pVRi~2yK$A? z9ji2-3lCigYj9(yH?uo7DgjG`iIPunh5*hh(B#z>HT3yMV;M}P-is{~3%NY^3 zvxOXs*@md|5(8D@p9cbT)L6!B5hla>Nx#I1LF_SQ9sbG6j}QKN2ur4r&Q?z?JR}~E zaliz70$v#|zz>{#(xtf*5fZ#<98t+d?x~it8a?=F3ICodVdTjC+%YzQAXiT=a3lD2pL-2cmct z0-&%L)V8pio`!^Tf@o?4ARnm{^57|~eEZDPL|Qf<0A9c8cXa%${xhVmZ++FDGtzBo zC`OvG1-;JIN7Y#zA^>hJ!kS^Z1VV)I@Wg5f6HKKai*iB;r>cD@F!6*ri6luSBp)0U zhbL{66c)%f{>P_pc=oThGT+YHLbc!-9q@oG%4%z^mM(IIj#nh6ikQw2=&o_QR_^j& zfKbkwks4h{@OqhAP+@h|AWsp~Q~GC$Vyi$fl%Yk>g4q{O6DSf;#uq5vyiRiz_e==E z^PDU6)`nPkjWVCfj!%1AX{1XbE5b=>8`uY-R)8`8heXxc4qVGK(a?b}_?y~ROYR67 zpr=X<&~0B(DCXfN7GlW62}nSN!X@z_>Nc4;9`HklfxE(av%r0dck9y=YZVs}r*ut7 z3g*p=#wcaX{6(OP1CW1JHkU0kKWSK;5M_J^FAQbvkr6HLKGBS3kQODM5%EzZs#t!A z>FWhHFlJfc6x@})){zGI;6FVy@Ts9JLIU85H3$)h`Cl#fvbq@}05D$@r5DvmJij_G z9SI`kM-t=QJU6M8(=*7P5l!Um9tLCZqG8T#L&k1C`S z*eD@C`H?RFu|tvs&bud;-#``>lC6H|(S;=}!KzqY^3ktl!%JYrF%mj}$A*1!UW z>YGhz@4JlVvkl|f2k5jUOmTbkewz;?T15}7vNfos9Fp-GPPWi2O4KHZXin?B8jvZZ zp{cx&$91Mn@vJxi<=?{;BPj|#cZNXOX&%X4n!F=YA^gDLzQAr^8taHnx2zdkczT?HOLQ zUF|`vkZ`d7xxt&2s}6COD~3j%)dP2CbdZQTDTf{8!{RwOxxRhs_{rwkwqr~GIt`#; z^x1fh4us@K>$Wt&nEt0Aa(Y<2xbp5Q=Cb`&83dEDOIG`dx-=%|Wct>6wUX=KjMm-V zd0gN5$~zPg^OF#;|AIH4De1q-u+y>|YA28d`Kz(+M$H4a&zMDtC>P7X{8X*FLPg~( zGPu+iAYc~a58;Nay7QxIQJ7=Ps5u@Bw)Aw@su_EbG%@B9Iz}W93Wh*ZL1QXed;U(G zb+(U*#-5;6F*Vf6u3{U9fg!+2_22Qb$lulEgUEvBN*@kHnC4}>(tpAvw5*kMWrP!O zZ;;~(+HlK5gXf@dFnikY?jH7!jpM} z8_-AwN_}Rj3y=KVZr#-SKzaKN++;KT9L&alVvX?ezSSEi<8lWC&}WBwrdgVo(n}yG z#0L3NQ}V)#ZLNT>x=&r-uBxR_jE*7;rO(yZD_*w{1T1^%5-hzEG+H&{$H#+4KZ-n-*Y-X!S`w>q)Kr@^X1&@@9FZ`X? zaZ$NH?>DmR#Gv`>xMx5Se&g{Z1|A@rX%@^u5|LtJVcUPCE6S_#nWZ^6@T@YF^fQv3 z&qz?&XGdeQ)xL7~e#9(y^3aao=V4@sDK%pNH+{j&cZD>pUdqUX&G<+KMDQ-pt0 zYg^*fD7D-owz{cMf6N-teAkMsmfj+4z0fXc#-_(=`BTw`<@m`YlIrOK z1JcpaDd!s3SKGM36%90SR$fLUPpH1@S>=~LEArKEv!8#+%#$}T#i=<*Is6kit~~JH zAb4bjS)85;jkb{b1J;bSK0zC3u{h#ULMkpqT;2~4*(2M1nFUWmE-gPyg)+vhMx^ej zU@3AGTqt`74UhMg(uF}EWi#2_==~EL^W|lca?`7i5gQIo!Uryv?pz{fNc0tmruYs+je2!U8HA;1 zhn;k=$dx|DfNj1RAgTQCm;2vTd*I`NhX%hAfzjst$#lb1E(A){Qx-SRbmuf)5kjkP zdV7fi3HNd4q_-LQjnV^ZMS0XkoV}N1R;J@K9~hAQ5Xm73Uo1x3oq^Et)Y+e+B4=Eh zIB!mA!29(L2L($vAVAojNqv!nv^~%&<3qTFWs+R9eD8?fG5&LZq#F;D(294*aGsXL zZ|SiWC{83kQ_KIVU4$$}MU@dhOQX`zQsszKgSFsunV_IG(^h||dLTrYr0WS}_x4F& zpoC*wQ#BOsczf2|$b~#eLjTbqU(4(Hq7K)ER1eKqnzJ!RYmXHVy z&=5>;AP3>Y(L=P|No)N>8ybMneV{tNmIe}q>BH<}$h7|#GJsnAkUrLr`XO7){B}{; z+};40;(`1bf<<{(!|A8*p9hl@s89e#Sz(9(>_+fuQ=CxwV;&~|aqX3ep9|y!$@`y_ zBxGI5WQ(#I8yoA^h-JK8RT&3#5^5{g6mOUuAXsc6#B-qxD54(iNesCeBg+)bqZP&Q%Nb z#gd!XZi3YLVST-d!Tz+%XvyVwGxK8AU>X;RUd^tAH%W(dv$pj#epaEIa3>#5wp)!6 zgj1n&LK}&s)bUV%nC?NK(|jnUUe7M?bDklA4hzOB81JN0n;mT$II~jGfN+EAosBXz z&P4a^e7J1*4w3sJaKK0(KPxlGC)fSjfw+22yGsxABjq~J{`=k#p67Ie2IN@1B~-GzFJks+DX7 ziF>u0v}s}9K;3h@ctoo|kE?8!b%6|f3>jA0!P~Irp6`?)TQIG)>>SL2=A_#>9@$1I z+?1WBB*lpLA>?*&r(hGP!60E_4bW(g&5Xv}1?w}Aafp^)eR$o)cNcFDYgYy~Zl^IA z^>mEHT@V#873FIrVo^-ZA(yx7iRIX}-LmGJMv+C&t|w~ZvCyzTel6A~>Xoj%&|YSE z%1)^>>1N`uIjz)x^LY@3>pma~`dFpQF0~56Qz1=VT+t%`w&R)Zg(r=-YH~pB zot(lVYb5vBXl1U!l0|4~Xo9;$^vU^6p=j&L3HRERHExD;C5X=rDyU_r5=BBXQC`E@ z(x4spHC$0zp%-g4WNHofOVa2&^^|B6GR;({z7gW~1`h9OrraG?;+oBrK#@PVBzduaLiA#g_<5`lLGFkYZ+*WxwdWSXHx{ zTg{mVR~o&s#~X{7W5MmRxir%|9jZ>%yXmnt1jU#|OX0y0q~dUJK+6lr z>8JLrsU65^|n>SdwJ$>33{V4lT7wz5j*H5W||8>^HGr8%Go zJ`h(~G^uQ`6>&FGK&ip81ap&+Uxob`W?s|8co(HC=7d%@OwD4(W}dX+(E?+zS>>)iaHJ_n)#}m0pP~XM(a~{+q_8fQVw`yBjQi49Z%a!(Bw-=q zJHce1Y6{E=KVi>#vx9A6JV!;jK0G+fWx2*bDCp$2paKP z^>SIPx}GoeE|bZ$+v-TclOr2+Y6c=Cg}41QfreMnR;v z5d9mVK0{S`DOE{(&W8O@4Gj+vr)hUc&5bUql{hT_i9tbA3}#hs1ws0dU)SfMN)ts3 zBlm|tL3rY)_Dx8q$y4Nc z8cp*pcUDm(Pu4hVp_zYGYUoo-8EUc&DO9(bKtYw5UWMrFnRTwYuUA^J3mpl;zd&L< z1wtYX1R$Pft*ArqX*D^A@_}8Yw;ARYKAj*z2_c%&NK-&Jhh!})2?t`~y6&N>B-f@7 z%^^d)__~wYWFZE3;x6sKlv+U5x8|_sC_jCg<84K3#$b=Y2R3z(MnQ*;Wp;t@hs%Fz zF2nk_un+G-UpCE$WU?v<=lXFWU+xF47f*zOO1Burlf^FY%oCWKc-`+;@r zWt}P7m8}(QoZ@)K$ky$50RooyCbu)XZ!;o&tz-4?*Q$WB+@&vRvmYfav(U0UCOZVG0G7|+bQ(T5RE}TlQih~g>XTrN3pCNl+QAae)H>*P-_L}#*E)4E<{WmUa=E?RK{hqJ)-H_)0TjGESF(O!Wk-zkS02Hcr*lk%cB}0}k{C$s-`H@$%^Y$JVu6_5ea{3=7-R{Kj+5MJ zx!}@Su1pAkL2*$8oAuubC$5077ID$w$c+1;`L~Ho%wd9s+5k?>mCIx@>bIMp3rNCu z>k%JL&ic3>@4@mD@od^ZBG@8vfeoU7;l(Scd-wB+y{)b}Y;p%=ItV@G9tITmOOD(# zgajescaIa`)%^GhkNVk$4d7;5UFpj>egt({<|n4>ESyCB zhdQ`NevV}b93;?>fs_c<-xLbOZhza}8BWzoaXCfBlh?&6QIE0gc5zUyg8>Y(xgXen z7O^~Q%kZMM_<|AYJyi$dW8nN1k(pKy>4!lWo8S!h`Nx*;Pabv^8HpMN7l=TS=4+kQ=k7S8~!&aVYEjgQb z0`L{TNG8JuIXv)`4z=^;gP@s!d;+Z?y#S)UWXuh%oj`J_QwD}7F<;}z{d0IqwscZN z6-k(fR=TY2^?+ESN2>~J_P}0i0Rq?2_jkMN^lJ+yi0J8a_Zf}w-;vmnk5FE*yHGXR zW9-xW(&wW4(WWdp1bhQtB$43HmVRG$=;eXRVf*|{wGTUvJqIq-^<@`Ws3UDeCA%Y= z)JFe_C+C+yGr(5We&B~QjPk^gavN_fqiD{yt)VRxVbCrd^+a&1j+S?ba9IKvWnoA7 z2t1(2NOTK)jG`lPr@e{dL)aQ+F?@fmN@1a^1vA5C<7?lI$siQdSMwzWmWV{b%~j^T z2f3|sU_zQuv5CmShTslQOYqJdv>%0xPs|>EZEr#4uLJ`sT*(?25q)LL3^&uaFev78 z{iOYW5263Wt-9S5rF$-Pg`bLP!7=wguksx{C&L+xxI1JuYKNR~+<s|S0!9i8 z-qN9VxoC}MbQ&HNJX-anr0w=Ip8S^7&sOVZCgPQS+#dGjhuF;Oi(E;uPuzgygUa8L zgSHe5k3~h*wVOwbv1C2pP;a!wW+LtUU0~$GM61WNI4+1H>o*Lu>la!m@MZh&jyeQU z!d-50)fp_>LJ-2=c5VjsTw(jtDXudHqQAp?NNdK;9t=Zsz?DS*Uv&K4$){_D zacZUXL2b7Z9svcFoMhXOKY%67Z6G_7LzTR+*fU$&$#V!b#CaZ-xJ2@>YZFm9TAFAv zBFZEfN|&?SObn~jJI__R`7Qo0Xs^@E+ddIv_4puKbvD8FjqMW4>08&J!ANi&_T0>b}wC%Px4LN>6}kK4AI_kodpzGeP_B4 zk7B$tj~JNozHkn%EQV>knjB&qB+FJ3Op2jTm4L2Rapvu}+km>!>^ZXUU1FL`17A@H zr%~+>lk}YOrWtfnCNkoUwg!57;Ov^^`tkCiaEO3 zlq%%AFX#~HQn#r{gD|FG%z_#(b-x#|+y-Iszx(GLoHx~rA<7W^nc8G(M|JU1-e{wu zwQO?|_8%1l;#$C${*Cj~vGgNi^#3BpML(;L?!FP#h3qfhnE8-8!XJufxUeaJjp(5$ zr#LivLRYE0r5|;3*g;*3wL%HD?~>r~{<)UJyA_DjUi6{rVUG?WcE!_;2TJ1DvGiKq zBuRy3qdtc=o~ z%Xuj@yCA1{NxqRjb&D|VxITeg!|^b{7!UTUc5tTG^vJ6IV2EC(*IOmA+dk%ogiDZh zIp;${DrB{*0SLc z%RQdDMbCbtMs{yjMHzgB7~+J(;ez_wz*)*>OsW@s5DgZ{=?c+^qA~I>{HxrRhEJMS z#UPu^k~AV_ZcGxFqXB-V`$D>C_UU7;?4GY) ztvtkUR%tD)CGNLTXxY@m`W{HA&s5ElKl$kyRV#0GFDisrOYb+MGgfzb8k=C{p_uP1 zL>b+3PcKp>^p5+kr_^xTnM(E5KUa>$17#QmzRAe_2*;I(x^0sfYZW0gI508tAj@fs zyP7p4zFV`?@}co$loL5dkWU|d^h8~xjy{b_jYY`!OcB&SgiFHmAE@`DBsOCjp4mrQp|w03=&*$R@YaD`QN1g90(3~wOB+g?vhPJ>Jh5l z2xWENjBJuCvCO{jwCPzCXDA$fJgXhjJ!6lAtFYI9!pr#uD%`To3f&8?i@t2Ki3a$j z4h3-Y21(zAvjzvf7_62rCNPh2 z1PeI{l_|CiT?b!c24gQfaZFUJ6LZi5fv`#MRn1b+=>)2TQ5wY3r_dEjBfoXFJ(ujc z;GQmMiB2IdSvD0+VOY^5vpY9;Zt1=XRI9;bzPDwaMn*&#{!35$pZ0$5yrCL5BCNA% z7VkEn)o&_;0_z&DkVrA=Jor_>372|t89U& zXt^mL{wOda*yUSJXcbsNd8^PQe&Kk5b<zc{5WkN{e>iVXrdz& zV$D->9Jt!TF9zgX_c8B1MZraJ`$^QQiz7u6>fQJ2q_m%l3; zg%3PMG`t4lNJLt?xVIW+@omr^3J35cLe2e0kv$tFI+;69ll8F>By@UOxbar1rj0uW zlzD|;OE@`-az8LiV*8fmtT|nao$V`(kUWxi683Z#I8{s$RU}vtm^i=SKh0*L$=2M5 zyjQ ziBx0W zG9^UkOLkw3#L%eZ6rKOQ+=N!RkqNZABnBYp6W;@ANnGW2luU{QV3&Bhv`>*sRedV{ zsQOMq%bP#Ve(+|Lfx!K@Sqgftx=eyN2BXwAROUyd)Iy)@=(HIU2J? zf3WP4MA1EdA*%4vud7hl4_bb`aZEPK9SIy@9@uRtP$@0d}>b|^F z4^)_rI(W?kMWUJ)+=6RGwb&DW=(W3{S0O%7jRn=u0YdMf*M~dRa!njb2TvFZE;$zD z`h1~kQp_-l_+8mw_}DdePFuNTn-@`r-xL2*cDW3QkO$dTE&X+#zg}~VZ%N~(Zxq~a z=+>VZb*mv-_-)d9?dNn=KI<)V-tUF-=<%5)(ZyRCNxl{=^Pn0BG_W#Uf*n|56=t9< z{ihzr*C8a3qkJ{jwh*+)U-fNo95M@Zn3FqYc2mz3nv2aru&F`+=fL{E&i}>=jF5jM zpEub)dbW_Yr&Yf{nJqN_j@0eb{BYVNu6;g2h)*21!=sLPpiP;2y8fj}NXYF)mifz! zm@+~jBDpA&C9B5&SK6;}L8gyA3Pdq0 z@4aleeq%W5p>GnkBL9eb+&@}@xK1OP^lvZQuHCUWYV^2_mIFVAuvm#K#2-~zTfDhj z&$%C<`mJc+%x(P*&imn1r-xII&SrOuKXap+2iUw%@5Krzr#4i?7$wE;= zk`8Hbyo0)UIh}oJmc^3_rMPp>d3jxkdS7N!n_5MIhN02ije6=4@J2se_N$RM15JpD znWn7W&4_n(1Z4|8i9xWMTJ}$ojRWo_U*ui4m|T)Zep5J8%0}Y%NE`+9jc!x zzt)EYu`)SR`2Gr){a*Msh*O=gN3vh#ko41Fw&kuM&sJp8b@)a5iPO!cC5=Ag%d-{V{iVgOYYeXN<0?L&AAq{9^ zEAIB5+R%pPB&zXZXY5dLk_ps=cD|O9Ai0yC;~!gmCDwrdke?=PwF#V6AitMV3tPZ) zSoB32z)`G+W)I1}5%$dfgzWRLsYT1e41)4)Ha2;3QgX5mHBz!!#n!ugv$BsTrWz={ z7jF!#%do5)+ec$&A^v%|=tkHYZQUw(PJ6+xJYt{K7xhq+)lQR?0jc`=JCBx|D2c8I zkZYG}6Y+X7r(;v%rA+;frhba}b(s*f%h>huJWm9`T@op}y769FI|fdPAFRBjWXQuWHz-1%;L8wL)Cb*?S~Z4RuBiU!FHi28DM0odXI&iizu1f zc;nn#w(&}G^3R8ceaEHlcam@t7hM1nW(9>k*D?wwbsK_>dH_dLxT>3J+ z9YL)aR~6nvI@F3mvI5p_yeA@?VkiB8)ze22mo0{ zj)4~qI~JCEf#`-xDDL<7%B4Z+!(t?Ubf`pNlRVOnuXq7&uE*pm-6Y?&L(^$_d~nfq4wiYUygvqHa}6*I~ILp&bB z>^wXy>rmNMz^TNWi_<0tXpuogvY&*|bMqn&6EX#iRcZuq@kQIksLxns1;Pe1$%1Vg zEC~*LJ%juxDynolW=$$}IJ?_APO%^mF$q%n&-`Y`r+X13-9auYi$w)HIotlrdZ)No z2WiMlF9Dm6eFA$m)No_Yl1*dT!v7;k=YoGh-#^%gf+m! zbBdNCiCbvmU#Nt(2;z+=FJBfAqRjs@afQcK8EA=V&ix^hm{Y2XG%(F{Q13UHZ;2*Y zr`*=^5pa!;wCpp+A04kOD8{ioK~kG62p*Qe08RPmD5v_TaN`B%B|j8zOx6P=xm^nt zl|k`$=TNNo2cC)F$cAF^@BIPD6eWy-Whq(_>))eaM=`B7Gl-d%CG7_EeMD z)+#aqbc1jmYB|a8gY5aC1q)8Q#_;gY>)$683!6g_G)8;b;3AO1H*UmJ6>?gk@IMg+ zsn#{8Cd9%QHb|MsXWj~v%ZUEfOR~zXbvhiTQ4JIL#TJs^I5I^~pp_|6ViJ9+up>SH z<+AEpQ6aZgr8en*)G!L36jT@<3frB=amRV`R1s6@-FJ^jrkXEb6igt(9HeF4ex5n^ z*}KQW55~ur1lf_`E#IjHnGQmWlrA&x46FL!Nk4HjUbSVSF_-G{2rTzr7IJo{dfzn4 zYmK(E`~ecp6*O50pJzagCUa?M+GriLSvr$LT`7MZb7I}Bh+{n})K`m=P)}O~v5AX+ zYNx<5{QqkZ}dFInt8kKEB7nDQy)-p!hQUQ6xGZ>|<`% zRAfejj*!off#$>tCI1-x(H!#w`{b%!sdA0VBzvMLR?tekz(diLIYTUdS6rRNr#QS0 z%Yu4jXLT78VERX!OqXY3%-s4TTajJ! z_5TM?K(N1}b9$c~JO18TY?Y$Z#0(hMh`R5dOeF+B@r0N$=>-Dq<>a!@BY>-sl4IMG zDhRu^!~vekP!bl2~p!suNG&W#t#qtqeiRxdA$%+Pmkp6Y;auqEs*~j!cj(#LkD%wN^c!{8vTP( zZH*+ZwK@Wn$KdM8Yy7b~UZUmDeIeBFSZ*x$&26+yjZQ3|eAf!OQGKDW3=3Z^JEo16 z92bx-GHq`swb)Opi6b41nhDC$TprmwdRN{WfE6D?J8pC-YHF;Q2jVB=tL}tu&{GKP zjIsX*f$Q=a?l zfU}75T+#tRQ^1Lp_5W)UG$xFQ*rs3h6LNCTkKBHStSEPttx5pZ@0LA8$?o8yoaqG5 zI|kTn4XWFxTkXlu%yW;4w)7k=NOky5Q8PBeWRg+(uccfz7{5AwCvVQIl;%0j@I4dN za)(%62I%$x2dU6bW`_O9qLKIDl7Wxax;B|3Ngffng0c|?ncO>UD)V)78_twxZzmAY1NJaQT;@l2UM7LRD&JETThBKg+l z9=%t6k?FZ1=s)b_G{XrXT&q4;RJKKEn|*&IMHt|#+iqBy8iojZBnIZw-dhR)Dp`5! zir-rxb1z|2Rogo6ED3clBB1d$G+-#hbbSvfL-%>QSV|9a`nA<*CnFodPe1BPx;gsY z^nWTMlTs=M`9(_PtZ%hdB@QSB+x2r6&&(evo~?U0OkJ2mC9Wkio7`tKxg?f@A=4on zt-|@K#r17YgY&j`sp6r1bRP?9@>nH4i{eClnuhskNP`YMqhse=)JKSZZvn2->_Z_$ z1q@><8FY>S1O6Pk@WviH=T|97)-m$#l#N`ATs15|@(OF=hg7$v>L)%LLPdr2+ zPkAEBHKwo0ULZ=wic>CjwK>h$*n}$AApR^=vvLSMoI)|G=hCVs`OnFl+$MoY|MFKA zGHeE%Qa>z>Arjr|65~;>@ghAQjzK~eCvO&70mJ9jR+sNRaE1$o#Acrmw0UI0ATX@0 zkGN{2DW0NvEmbX8Ec8{yF*+;v3cssjWc)OIIz=t|rZnvG683s9B|{{gKXTf$zq6|Ua$99tU#DxodrY4 zHe30;x`pDip%*PT>JtP`hf=KqC(U*1^9ISR$Ed>adWx|@koV`5(5@#lh-|mt9aZM# z%O?S;$gT&;(SBus>CkQs+4W@|G};NmDEAg(7OTE~(FzVzJG@8vAG#En$R-O~QN}8DSl#p; z+{-C)2-WICNbj;)8d>E+(s}~oP&6sLU$aV@90+Pm$AAT(PGb6j*fKa`Dbq%vm0>5b za6OdPo@Vj(8fqH}>Y^wBKO2Te;ELy%0J8+9j`SNfB^ZK)Bq+afsG40FMl5{re3?sR z7lD`cM_2Cto!kn+bc|5-TTS(tRYv2eX(+^w^BS<4uzOoQP7=T03+64iVrmIQn}&F~ zqWd=*s23d}!^5(_-#>q*AucLPPQfpfR%B?i8JAQa3uB+DHP{-#vI*@*z}_@T+xQ8_ zH=r*n1=|Q9hzN;YPVAJthj+|0>Igj4RziIyH?kq3llllqWjP@N2jf31bE7ZEVN197 zoc6;pUVN;cz{3z;Yi^^fJ&y;hTm1^dRv*3pxC!-V1hdKKKSw);A;sTv6A~)cv=?m@ zN@okCnV`E58VNNH47|keVQiVw(@>LMG(ZGO-yNpA%#i$^*`!z9eO?h}$%yVeQ(Qwu z4Ve*!O%oW&4Q!EaSyw?7CiwZNh|6}ZrX9`FJg1jYKtd-OlI!H_*`5}P z7=0x>y8qeM_JRC40}$Sz;gUPku=w=y4LY?mi-`$Tm}3`P*ZLWtAsQJ?YMK0lIXJ~U zTG{6>5R0pc(90uDfYlR{VzdsCOZjoCtmwpq5yF*}`QVOQa&(tV|Ho~1==DnCR_HVvBpP&Qnl*Fbp_4^i-6a7#5~(_XL<&v7MF#$i;!WMk$_sf@OPGaR% zx6QhS=($m1ozy9(U8t9Lm&~UvW4PJ)De%DD{Y#oE>>Tym9<%Y562rD?g2^_cii6VAf zfbrpM4|_uly0C~N6>1S4B{0-$9bu3B;n!8V*!3&z6zxM@*UY@M=?ysAbn_k6OVQB3u8~1;smNprz@3z-_nl#+UAh<&te6upx8M>_5b_=P29$>$9+qlg zlmZo-Rde_}Uy)8Qg&zi~AMrvnKE(jxJ20=rCl%9%m)<7@4_GY_6Vuh}CyO|qORg1w z6BQ(A2}F^cNV(f0x7p0(_JEGZp;_&Ai0N%7LjT|wAF~kd#N__-F?alScc{k03F#r40W zCz#$Kf%?(uv>e(85(%6Ia2p{|+_joo>W>=?k!C;Bj;@B?pIqjOI~eq_-$k$*42ZT+ ziaMI5AH;mW?>s2+1Ou_4?!A?e!E39CUXM=CF{Wn zcSj>S8`DGOH{oWATC`c1cReGDvTpSkFx#Ak!VOfY{A$#T^un5Y64O;s7@G4z922OH_Jgtn>O|0ePs{qj5`Y4%Bi zU{&luS3eNTVdzU)-Mv7p1g5dUW6D9VlnE6pFl~-K7>^R~<54G6thC6igUe>7eXxSG~gU7`o@ z%6G8Tq@vWTWGtcGc154=RSx8N-qp%hxd#2nB7PZem2eCJP(@JBVVe*Bf%`__T*6L| z^AaJG#^;ZzBo@EN|(1K#>({(Stc?r$xV957DGIHmR|gB4)H zQw0?t@ppYulCZCr7)l=_eO3na5UY@~aq`ow8u8J35^oDz+UdytCYhRwswj%nUELu1 zy5#Cd^G_HGZkx{ZtmY~dED218VFHw)jvI;42LQI}Mde^3fYGQD5sYc6+U5@L{Ofdw zZ{yD9;|2Hc;+*5}!iIGgs_HuosL+=4A2u1Q5tK%E&1qxACS+1cD;<|!bzkbnEswY*0^_sA?1J`cr}vtNubv%+hc z+Aby*U+Bzk~6(LG^sRM(1Y(Oou^1w6r>diTdqW2QM=V0QrYkVWA2O815yac}B zf7r}&mWL^ABSQ4+qK_STK4CTq>mx9Ntln;yCBZ+|cVT9%4osjYbh5M-5#IsK)Mx*CNd{&&8q`%xkjtlewiQG&iLCbKia_E+zM+B{Uit( zEduItFsWtEy>LvrQ~?u+`)Ab zsb*JUo>s^VL_|*qPLv84t7Iz0`mT`h=niQ zjjDja$wS&E*Qgv00XV93`YL{or$r@7m>dNt1eyeh*$lm8jEPq(sEa87o}Mj)5>630Z%cyGRU|1guwFV635b zloQVdUD+0hb?Hg-z+?q-U}06En!yz>fe2an9H{`vPO_o-8d||D*)}Bdhdli|gmn_A zeq|Hq-l8q?5C$?T*3JB8N2#+8N|B6G+T6X`QpJ_yd;}eUKu1|n(cA(~w(lTFo5i$- z5GEVdUNngeX)}ef*m@VA5>6Mc@iF(X|4zhhHQy>9<}+n2DSvmB=BTant{W7JH;f5$ z<;Lw5)7opITxZK{I>myyQ&zk*jQvq5XzeE;!@f0ssCtt=P$2g|Nl!hAcH z;8EwyHyRTeP&3vLBThOuu=$|6M+4V2Ux}B*JL}P-I&L% z3TX#PQ*vM*8)w@TIUJ;`3gTsSahPgkC76f|A=Q&R%{GQxo+dX~%Hy!Bd5Zy3ZM!gb zo$y;Y1;xOVWjs+o*0;rZK10w??iI82cCspbL?2a~U;)aArF1Xm-l;-MPLhjae7utF z6X!G|`bH_kfH@@d2<09OK%VZ?Vr#ohBSCX|6~vF;wk zl)rT5GaZIxg)8o0NTQOM(}6C_<;Q}yZdq`2%_yP|8K>?pNo+bWlMc!DjgYIrPzErD zU+B3FF(d9o-ev=jqZqI^EB+H_vO$AFMW4aYFmMlqUF1LmDSOwKz7{%AF3}6H#mf{U z>hu2|v$oZ@6;mz+lfig=6GB9{y}c5e)`%WwjNoDqJ4#0C6JT40qQo!DmKs>^j+d=N z3D}a$MzJbu#q{r)0PG^~`)*u# zgk>l*_=}u8g|9nAPOKu2ENI-bi=IaVy`mLeaqpT|+y zZQiut<}f6<;zI3mcb5C3z=XO|^O`v?HydToUICprF}T!|GE-hmXfBz1*G94i|Ye`>)_}C8vfzO>DYfHu;1

?;ZSj4foH>XK#<xs|-#s(1>%7A};suGLl)93=q=d(#%NYajCfswP12F zDBUWZo?a*uaJ}MnWX3pEAAUQUFbTW3E4jcRG7?fx;~U)*P+gCq%FSs)_zaqJv7NzU_7!*xO1 zlNFo4)6plTw^gYbomGbfR3=NU>G=&vbe5+!_jPhYTId{asiG&GQxLzxEF#jfIkhhv zYu0o~7QavkXUMT?R7D6`_C_H!w5^s~;tpXWl=3d~I~s*s$Eg#U2nO49H@Ix%{BKPTvY`0YWG(A3Y}3Yg{DJ(}(;^_R7Ptkz8p&s6lHM z<7X1cOWob);$d>eFq)F|m{E2ShS#~XWU@McJ%bU@Gr|!we;(cOS)ZgKdj;4P#sp&kE(8`Vr(U!i)G+cMQVeH1Z4k8wo3c}its;GZjnrn(ov<7&On7b}~FLT#P z?9lv zbX>XV63vMVZ0@lODo{VXSJ62~6gzW$Z$GMEplT|ix{h$4!a59u;>)b6rr?%GL~dUi z3^oPGiKD(gD5547lYL3XcsW$jYgHjDnSpFn)+dPo%$kpC88fn{t5y)Scqc(0Fw^*o z1&KY)R)Q}td&_vVlyPXM79%nf?gkOojiSvk{Q4{zQyKu2?3pifW5X4AbqfKtT(zeo z>Z%f8cMe{-VL`H4#pI`YbT`N~P28z!Q?Nd9iq+xOrD7|OUm0}apf!)6%ZY!K^Zn*{ zp(l5$pSs&p+k@I!I1n2jvG!V$sUH*qPw3+aWp3Jz;BE1|7ClhYAD{CV)Q}vlsFam? zyO2t7SRP^w3pW3DC16M_+@xl3-?d@LR<0hBg_^PQiZ3Zhr4fbTy)j6oM2dx>7t^j;x{EZdA6z{c4 zU=t{p;8lizqj4PWi^_kh2WcauMmc?gLNf_Jif`Ak|?+kPd0L7Z^S5yK{KHF$1a@p^bCow3djd1y&?IQc5`z0NAxp* z@eT~30U@1V&+FU*K8z+;3F;MJjfzygfuc)0ikCzGowy@2og}G9H9@j(_Bk;G5H;K8 zm^8_ug&<&&QsH%Nr6dMYT}*1sf|$fPp#sC}9MmP-K3pblf|4Oe+7TNScgGubs7TUX z!}(#5N|2vZqqle*AxMvM9-cLwi^?6juHYlp;A+q z=gLSX6(Z#I;avo;8Mw~_QDhDzYe{!pevvxC=m^jw$tI&tOb!*}o zD*qd)uNmxtH@!n!SA8!i`mh-5r|_(YfDys1m2Mh31ln{l|Ekx!bBUL~)Q~S(W9w5x zhr(QZ7WpgRvkA{_h#xkgLOCD8TDbU~Dnvz`vmJnVcN;hAR127Y7FWvaw9LpXW>CSzVV+ns2=P8 zAQ#F6fJF9uJbnDLH`7F4Gfy7mxZ7E6t1f(QkmNCVxJh}ZaJ4b?oWcEjVklwXIGi5w zGs^XcxIGIP5!LTtbEy4&Gz%5=kx_{8+X;kvv(F*f|8!d@Tiya%gQsx5E(@*2SKXG7 zHn1mA4VB$`P2(d?r(nysa@_5rV_%vT4)&A})RCL7RMgXxWyrQu-U11H=Gq+>u)0dr z^jh^)0op%w**(qOEF{uZTkseZ3t<)qI%yb6duHN~%=J7?W>qn-E`=g;1np^OxkcP( zH4K#Bz}4P{-r)|PFL~<)kXyHRrwfbli)<~r;Vw`1Lnc?^1 zc|^?j{C#uo_wQ+o+DIZH=H~xCajbJZW#oPQ&10sGslo?Jqi$uBY`-@4Ocn)KtQ#u% z`|Mw(4PCdBgw$TzuHwnXz1wA_i7OE z9s}KMN*oBT#|#>N`RWuxMgf`UZ|&xI+aEb>B(_RXPDEz&U8WxOXrObytT(hD#(I&L zmScsLJ?8c#TLamT%84@g3hNsu{T!xCWQF}}8(?@yR^OM6B$t{=`#51){hr^qV>2(k zohl#Y4#>09gvPt^nawB^K8dMrjm$p#(2j)u8tcedJqhgt1_iXNXgiI8a{ER)?t&CaQJz$kp%xyE^7JvjS&OODlIvfAJ&c@ z4&=jJtLIaJ!!@suk<=IbT9N?zSkevan1{S;obE=mV(!kv5Y;C?zt-I;5N9d4g&tt; zhJPy`IYr(f*zA#e4kS^em=bNt{sH?6@Blq3myxHImK+;&3{jHJoe+XOn{Y41F{bC& zLYNVT{~-u61X6iZ`PVIkLRZ0l(i{mdT!SYIum@-lUM7vGHl2sDToi-wTb3bxT%zzS zsvq_EX zMXC==$?qu52+Vx@j&?;LzkL~fgEXb)-l6V37tOE(!tPH2>t-gw)9^*X^#40vX>TQT zkx|o8;K$7wKh%xG0s`-CU$A1&q%KUM9!%B#w_ zza&-2yd1NQ`Hc#Nu!BjyXNT!gyjA8)A8qmOMBPjFj}h@*eA+v=Jr)8=@`x9$B60p2 zd3tm?aVJveMoGCXOL#Y3KOImfo5CxTUB2Tm@y;}^%yf#YtXsx^IiXcpFlD$FJ34G< z3(FulDznVsrXF0aI%6qcYhkCQOsS_X(X7C1ZW?ABrllwcj=U2c=tPA1cy5XBVlaNT z={SAU?Vb5G9~P0B)=dUT6!#mmCsg@XR%irwN2cKnOVM!F%G9j6J#+({`KJW-p(lv^ zKng)Uo57QWZK94uW6f0QZGuKu6*kanlX(}cz9(bj;5^Jr7JUDF9FG1va-;=;RDqrc z3*`I+p^zZ&3=3Kn@TW)%5crsM9*M}_KuR3Pp$%YHbL52gxakY$f9DFwd2>lPDbwM1 z0FhuaETOW#Cy$xGKyY`huw4t~d9OUet;}F`F$6RA-v0;aciq{8;L+m!zY|#8l5rYc zr!w8ctxVl=Q5)?LY}(t~dxM+kLMwTWL|tR;iV6rArMEQomcnS(GfV>d4J1(t|I4x@ zK-{&l%@fT{%c~b;7Q5L*Q2p$8t)_B^1bp0^iSXG)S8x=BMkgWdXDt~5UVD@OiW-mB zye-N0#ajljU!K~XD@dOZtt_Qous~4%x1jY&fI7)i+D$6*4F3@7!n*c} zdXRnfPxInjQYExzH@=6*Y-z;qJ)Ah!gVF|PX4DTZHqpsr7XWVit;gPD<7j&(zIUL{ zi0SdX#wa0QQa7pYSik(NTO!`Pvvq7MR68MkN6`vfF`vh((zONs0!id>?sY2&TiC;vyf!KJZtoh#W*4mtwWm|(i30}f8F>63N%4xIoe6Uz|4b4S z-`X>_n=jfqgY~x<4AqGc;)}W01&O>b_WuEuj2aLhqnAF3sF7)Gh&)s%vLm0~6)Yuj zLv7W{4j!f;HSEBF2+Jd5TyV)0kG`mf_L(4{My z=Q#rgDs7721@9G2ODL2B)|~{bcR%i59X~=4I$atNltUm33X;P^T8@^+-7Ox8t?2`$BI9B_tu402(I%6-7#Y@ez#&ICk(m`Cz^m?(?L?8yd@X!kG zX1x@(5tXdwam2A8+q)8x#*Xn|8Jk_A%yNHp*eEHqZT^){Pg0 zOs}?Z6{>WDC|(BL&M{1V^ZUi4t*Crro>tyV|3p>zUF-pY{fa0?sXQ60LmZsyVHlfr ztEFL;hd|<`FPoS0wr!~YJ4=n z_XY!T+3VMl1&tDttHOpL+dmJ)nHWSAjPJC;0YNKR)EfF$biw1EnbA=2 z9WI4Pk+C1Ort{oiFrH#1PbhS`n4IZPxV`wiFu4wLJRa?S=pSlKXT2+&c6ii1lT#$eXB*qgmOq2M zN2c{nZY+=wr6VSF%T=V9;49!3LP!%Q_A79v^N7iqbu<>A$C{(Zm{`1&OOYB>*L}-) zPw^0YcgVP5Jf083>#h$=jG0Z5*6{dMRL>Uisn+7f#@!m0Fk$l|#_qPkg3(o%|9KO6 z)4R?8T8@Q$L=yvRzUu%S?%qmV72QjA9vei!i3qEH#04buaF!Q1WQ9Q}&>k&D$-gvP zD+7^R8!2h&>kmcMjVtrR>KzKjfNi|)qCK)`@^ zj%O+|_BjZhN{CyBaIF|H74dpm!}vALcw{NKKh%>3Il~(_znugDsECUTR+PmDrFZSGs;)t+jjt9w;98?>`z5eI4N%|i7sOAslN~%skGMr$NN7}> zM79CrcSfGSu>?QqjjtW@l&b_tA;Q=fu3;Xy5qtvVdqo{X>B_WV{9@CC%``5+h=qb1 za(r$*R}4Nm3_Rq&{~0KKNz_>Ji!?3Kmo|li9G@Rc!-a+&|Itiu0KL4zQ=SUn^eh%q zawchJCMg3!_L+-zEHD^_%-)pU@fn*aK;#LfZ1S$cxu*({UVmCtfSlvC2UCse-R(6t zr>Oj25(_Y`&DM0X0`?uB1iwmZAn--w^||3I zmfGwzOmHX0vQ|Li(4)iJ(W@>`>$&4$Wza6j36D# zZ^DcY;f0FmQ1PI1=O|tiQX^|+$J}C{&mOi5sy6oBVwxa{fY#sHgr}Ycu@#>$u+{^ghmt)}H`xNEl;qBC zyeJ4CvqT7rpPS{}J!(v6r+u#hUHVAfPp z*@as+1&PfunQB3~R5u=w72oHaMG(lTRRw5A~$_$c>TWkCbt zVX28Wn`jKlcH%FQbRs08rsA^M0P~3yE0`pkqY^+YAz_|RLJ|S|ml}%sW=D=VD;P5I?mG=# zqD8o$wmq35V3DMJmcmi-2@ejpgNKmM?R~pZSF`*2(y@I-5jJ!^B z*bKNww-7yh=$0S>_W4B?&Uj%EAlxH<6{$+$7i1O@Sdz3oWt~RO%<4b~to44wp^6h=uJo46i6yqS=FBivant1hHcD2^F`v zqw27My}vq^jUK=F>!uRt7)B>QD3S$;iYuKkb9V|o4)#H1&me(I?tZImelrRkGA$ak%=Ala?F7~p{Sz2S~_js zA_?Ubi%fhSse^j+)j35cFo`F{2b1{wI`h1iRA*RT(!IZrCH!KUl2)oKW?_E(et;tj zGdqp*-lJOE`C{gZhh!~q{Y1po7`rbqbXG(%AoCu$SQL7&ZR^|C8>v-5x=ci5i}m7e zdzwdK9vvn{kB1}F>%09G9q*%UMD!xiWz;`q$c>^2udEv^Z@iH_q4)vd*M;ef@nZZm zWAaNhMh__GnIEs?XH9BP#|Xt8$>SlpJobSTEgO-1zo~SyodFBOkXSMfzxEu38)QUr z2Cg9ZkA1TywOgPzcm5bnk!*hY!Cg>~O{@qz$qMWY_Bt;{%5uS|SjUI!g;)R58WRtu zg~13tHJWeJ{A4o$s<8?Q6>G;RDOD>5J!x3HR%Rw<7AeL(2N8Hl;#3delgbGuW?$ma zr&f<#k!yR)L^o)YIzYbBkNj$#Jnn#R?y?`-kNAlUh#yj6UdM5Om44&pv|uIN+>OaX z(@^~4i|P_9ff(K8VM8$`?D}32wObZ?inF#F2yWuD6p(Uzy&5YcPMd_Qi}?2H`RSdj zr67l;r!RKgTsupcSS;a>_w_8C&b(7Y=3}W?(+|ul6y=buQV80L{zppPbqi6T-O3{a z^O>?ZI2Br+n-e(_vLJgsYv$%DZcV1s@D;_tOb z&xP5G#$_Rv6h0h%K~w$iP=!Fh4&{|YI@F3@&df0Uj13LQ6~DwDsR9zN@jQ&&fcbus zp<@rc;08k|Q5X^CV9#gQ34^Y>-WMy&9ahkFP1Ynx_p2dSuN=(r_(eb`b2yy<(rraN zj*=zH{rG9=s}2+!8L$!PFI2=ISfx3Nloq-`@=j%Bq8BOJH0IGmCq7LpATRxj^$zGc z66KSh9eQYVT5hf8Ol%cl$H>~HaRByZ1XVJP&>(KK7Nbk95%7BgL)#iuAUz{=vdEMp zQiq@wm66UXD_fen9HZ80^%L;+SoLgIc7rHUgvOvgll#J)=?0Y|W@3@Q)*VC32JWm7 z6wxMIg8~nuB)+*=s7dPG`5atl^BNw+Vbq-G93fyANIoYEfCE zuW_UZBhFh6FbxI>(kgeNR6)Gnc)&gl?|+dl2;0o5@fr!Aa7V^?uO?>-OJ^wl(~K&=5`DbYXEA>KNQT=|<)CqcFb zLaz}*Ut8x;AOm)3wH*bDeaAMm9iOf13wNdArZF#euQ(pcBVoqqI}t>(X@Cuk<}RM! z8L=T~(QJFrEn}jXF~Cw9`4oVMqs~$$0xKUp2j!e1v81D_NDBFL{2i*eQQSnTw;+9C z8ng*NZ?qc}KSvB5g)y}zMJX7xG+|BmgERC?HW_9_PF5e?kB=XEL;fXclH#z1RuPmi zO&l+orvwr5pVLh(FQRXrgZ>p?-}NTJH&hpIhP<~J-iA~j312JKM=G1w5Dt91rg$1Q zBU`9(1YtgK5q*Y{Dia4*q+$g`AkSYkU^4OfrE9C)knK8$Ho`8!Z zP#R8pkN2`;%gMu%8Q;d%cQ_4|Z*3)tX%E#<@u&ZHe)qHRdK+XxDN9oGn9<{qui2I* zI^!JU$>4S4Ny8Q-a!>bbQCL|VN3ocxVw3ayM9qv(4|67w^eXKEL0xd{>%HGTfhLi> z>3U?vhwBVt$ch=7p+FNeLh{O}hu1%v)ro*cSl>R0S#a&YrT1xJQ^b`1=hP^nZlFmZ zi6GmLBg}AxO~wo2Oa)g0wC39K-jTtFm6a`DA~HAJG1RC>d2#O!N_|bClfM1K$$VNq z{isa}QJxs{i>w#`*?^_yjENYAV}tz^;Kt>IyxcZ5pW7{^irWo7K-rU!vo#>X=JmXe ztle$mo&qO|-qj!UL6D}TsZbaf3;ef|Z?K@*lO`{#;G2yeeRW`&44@SypN;;V22do& z-?!33f888*u6zk?d|>vyZaJ??ADPR9Kh?K5LysOPT3CSj1-MtKp86PPLqF(b@;*id zS2zzhO-tEk73B}^o7pdte30>CmE4fC9FQQR$&LgTnptN1z8#~sRyr8(*xBDY7#&8o zw7V!$Aj#+{Lh_u{kR+Ci)Y;(sYe;weatwP+>|Z zS^sVHXE7PTBIUz<3n4Iym5|M1U;=w2x>Gs_ATrEA4ucHDY=U!>Dz6yF=!|4u{~ z8CKI_@NucDPO@T*NWLF6XH~coLb5dh>S+l#^R;`4r6*c$8 z9+MA7EUyu^(3d>8tP2#LqX(lhl3#C1_T(A?Q1*Vm15uh)DS0QlL2*-66w&e=$=lRN zb&6Iu-1y2CtVFQkLMRT7ME@KwieydZT>8zKpE)@_mbyE=pfI$$1U1TA#;@z1$5{_| z>0~}J--_-anS5L#ekOLt1(^K(l;9nVgQks>O>hK6|>g8~6B^l#&031@)IU71SwDPgmy+8>d%7A}-LraqZS zvttto1?Es+fvKlo+{L5+xV7oG1KAU0khe%>C?h(7GXx7Q{N@S>bX|jB;$i&*9S{yY zKAnt9I+-vB|1-Jo)H(wa&TrOhkX$sYb)VCcd2nSLrDsvomd?g{>(it4$>lCX;f(}I z-b4!J-}B}PguDCctu?M9_LCg-hyvT?aiA0x@_VSOd>)H@b*^#!{1jp9Zh^c6<+aWl zV|M=%CS42Tt;jK?d?2TVw!X&i>!@ch@^3enT4PNK`-yrKo#YCjDEg~cscXNlc7A`> z>cTE!h&2Kof$$@;^%WHdm3k>H!Pp}k&oK9bLlNnFS+r47*2AB3`|L+IYeh6G4!bN& ze)9_^Jgdug%*JrCB=-RH^?Av#{|!%qhid5W0TGKbg0fU&Bno_ZS9zqysnCL-fK61p z_#qiFMvUY(&GQ?;3&0-UBp+HQupb?hg6?^ONTaUN%W$hEWx&50J!B!ATxNFN(SGxF zcG1W27i0p?lDc3VAt7FX$N~Z?3)cm}A7Kb>6e!WB9zu%~{IHx6EM@T=KliFH6-o6tCe#ro_-)t!bp2HamQ!fwMaO&<~g?8`T z6ZiytS4r#VrM1To8X1KVlnV+qs#(UF6(gdInoqNZ&Lw6JD3Z+c5+tar$qze zf|7T_>lun@zximX%9td^Va;3Kt6~ zCY%$dfI)lt1agPG|0cjRA3XuR&`S#Oa`5unTos7m1DpOfwMdj%j zK+9cI>g9ciO&8N@*E}kT?b~lECD2~YLWQZ!HcWNPsierqF$XwN)x_UkqO1fWloagA zWZZ(6S^N$$mSS^A+8U1;XtGOX^IcJGF)$r_a_M1lz$V%&fRL$#>#``EIr8UCIQn>! zhygi4QS%#GiFNIEl9}F77a{~ z$qmB_3BaOA=-DX`w>9OXbTTaf00000000000000000000000000000000000002OJ z7#ip!tWsTW=^+e38?{Le#QS~Ov5qc!zpX~uo!*BQHSNsvnc*|hG4zp?ZoGlW9JYIy z|8X3oR16SUr4Z?%Zm{)0x=v(#fR>^NfF<1W0=X_^4j~GV%Rjg3 z%%6~c3NS6#s-j{!AZY3V4|wDx&I1<8urHPQ=A<@@$$(DqBmU z)g7F|t8VZtwKuEz#4lKQkOCQ87&qf&aR=PF<>M!Nw&G&-3LWLYbgS!f8juEo6NMPo z`#NtnKvZk4Qua4`#cx@(%$~m9u+TRqoaw=czD_N4N|P2qE1$|iPpU;?PuqUje(ATm zi#vmcB+x_8=^7*-8m`+TWm&Kj$~ABfsy%J(@!&|JUWYtZdmFdjkL-`>M4ILDKxB8UaJm|7PB@2AH$oCws8EW%-UP z{HiO5NI{V8!d?hBKjS$;m?{bXaxD8nuiaxsOMDO?q*p^wT_X6-?Z($Q;;Y@(=9r-ZQHhO z+qP}nwr$TIV~=gywmo;>h4;j9Rgu{d)!kXSa-GSCd=by&&7&9k z0-tzHZ^Q#VX7?yq-G-evn9O|n9fh-xyVFaR@~I+pql08^9EoOv;iIXKm|` z&S44su%+=ev9H=+b({HrlRG&YEMOuC7B*HruR?mi7T*Z5(v_dSXU3eHy8iS4y74n8 zpJJWn_aDE|sa1L07)F2IltGrM3&G&N_Yx9OTpo4Q@)Cq;7-OEnPy#Pmy8FC@O4rCo zs1bCiW_<`b_7W8VB!YB4&dT!l1@|i=g`1&spfGo$_i^YP_sXGi0jjDRcj9p_OfW+= z8w#Pji?|5SPYd_EW6s|vZ54mb=%XJ`r2%L?d=w-}mOQ%nx*lm3 z;xd(p5R@t_I>E}kWb@{Po<7fI_5}IaM>fNp~Nt(Mj!$Nd`lGVSv&t5XuztF@iD}{TSJ``cfaSJo95! z^aE7(iV<&x$kY$BFBsCXGUl|=g@*CaS0cv7{L9r z)$otjWd_m%W}l0e-wR74#(3nx6hgzsrNig&P=>Firn4rPV@)&%&Rt8{4}e8^jZY~m`j_`4Sz^S~dzdX@maB@{uk`Nrkp4WL>*M4XHg_65-0%fvyhLsV`v zTTlD2hb{Jk{k3`OWRlCuGy`E6DVeMITKGhi1=4xB8Sc1pfjAncw_1-f*ZX<;~g{*f4VYLs&NixsACaIymUF# z0g(9K@V$uwXdDyj1a!Jvyh-O+@<=ssGeQa_8sf*4KR))1EW}M<6_h>=FNl-cxc#9Y z)+nzkWZgEOFf!L zAHvsTJfh5boml?Q9Nygv>qis`mj>^T#`yQZR?L)2jK;vqH8KDl>Tc!yj$lYwHG0-9 zx?|HUUl%@M=0nq148od zS2?^x>l7LQd|H46lGa#~)jO8s06H*flf?bHowWgE?|V&kdR+XBT zYn6q3vT}C9f5n4iOk{F((C_S_**VMB-UFZ)r4wt& zsqC>4vcs-gBw5&@iz(v`F!gFZ4X~mUrXq3APOTAbI@cY7z9!VtPC#moSs|dfglAxS z&^shat7xI`HCDw|(`^_6ZbU|;Q-HJZ5Sn60+Sf?{z7d+$)Xg9#a$OLVbm!j|jxF~` zkEvkK77Zv1lrbMDJoql ztikVYmOQ-68L`sEa)8SR$Th0-+-`E7sQtma9f?BWyIgK`3F zmhJMzq#!ii$NU>T*Z~&3IMPeT1Un#PrTPG9CX=Yu!v(@_r~cu-zW*@EJ(ye4MP;26)f z4#bPz6k!gv0pacYV12Z__=hv!TOfzapxf_Yzu%m-m8yk=F5S3n@QEkI3~H8nM|t3R z-@}QNdE4kQ;0vpbns+`iq;2W6iO@Dq7HvDLeIGe|1EMYEwNqV=EVQInSi=m#-;@?4 zbA56`mp=&N$O2a^YrFPbgt(73BJu!7`_C(p)6++GG~rw85^(OWtk{e6(7NK^%hbI$ z@qXBFfW>_RJfFjN*AQ7^Hf?GmRHUvUYi5<;}M^mo6W9f49IT* z9v8~MJs|@^x&Db>yHbfD1j*SQIb2n_HSRO-5)PPvb-8)v+Be8Qz<}KuZ*MT-AyH(S z*KYF|svixUWV$utvMdJA;ttf(=pSm*tyP21t({{6Dk4XV+BR1MuxQmm61*PlaY)@4 zc|qT_(|WkQ7gR9}tqN5V0`v64_>szy3DRy9r1pn+o5}45NcknZ*}TTg7lvsR+deNj zQt{3Kuh!WLkr5ke`_!M&r?UuG`C>zj8ABV>T@6S>*Q^{sFOoRzkwPnAFG0LsKPEimlEEsr)D2rh6S%M3;80(6#CVfW4Hslg?(#?X%|5hV(247a)RW zSAm(%mTfrAhsPf;>!i>H3i;A5Fm`DN0}QQ)_h&{ZC3BXtWR>b-97q6k;RWY+PEDl` z(-_pG7AyW6;*9WVo}cxnb?N2LeMPXN8d0a`*S{CbNTk1GB*#G!4kRh`ee4I_BZ&lU zX0W)^Ob`n=a$r>-=^H&zMc5=OShc04wGJeQw?iouQzU-g!OfMyR`kr`budF{YtWq& z5k_w-D*E0FP=f@FzSdgVGvGa(N~sSh5Stq{+5!CjT zyL3s3O<~^2b0WD1Kf2iH(o#45Wq-vx@~w6sbjoeA`@R6wrb=?@`e%q1Gg_)r>ChNl z^%w)w_n`JXe)~U$dGb>kO=dpm+`asSJ2CE-?R0IncO~o4mAlVYti~Z6E+NZ&+fiH) zN9TaYu@o|$x>>s?(Nv&-^`rX$Wz$Ah)Omj@xYQ2F0bU@g9Cq6qyYRM=b#MZIk`gL$ zmMg$ZhYHr!++!d~)_G}ek^r5%qmkctdO{YGE&$;ohNqZvtRa6TO@8llS|2y$!!6d7 z68!!RAzojKobN0YF@QZfN%|>@EIm~D?EFy|L)eTM=&Y3w?OrN$Nik130#GcX!M4((`cAnO$@oX9UizpaVWbbduw^@9I=Jm;&+w>F+%tUP_M~=ArUu2i2%|>tpK4A z^GL~ui8x_9DMXQWcP~x_R6TfT_y$`>1-a%v2b7g|z4A<7QN3XO_k(ywUhcy8a1NN~ zLX*!wq#U07d=6?0X&j8a92y1Z5g>4PHEQ8RhEP6v}!yb!Y>7|!S<0xisUzuDa)M7>DMw#zYH$zol@ilqhvo%xK9soBz`)R>C@P}{gCaBr@gXs0ojD2gZPuey;r$hjbe%pAj1y5iR-=stA!j zCnuis!?sr*4jjzMCN$n)g2{qFJ|;GiJC09OzS-v>bjWY^lG(JdMF2n|+AISRMb((> zV!?ww0f$}#0{yLefynw&AM2~ni&%%m%LYBPL6GC4B^7?s!Kz9~_hjz*ZpK~Ei zAzUfYZ=oPPge3=gbJP?>%sV4?GF}-v08{5ZgaZO|ovffH1vZ3YM>z3T0hGrNcN(C( z#Q^}yVw=hMMI zcU{sXqdYi86PQUXq|rt%J=sUo0n3@m#_d22r9egB@AHD`O*f-xE4~36r7p21%%~}Z z)-=+u9q7!xIfL-T_kUr!;YNIm0*u-R!=`mb2IpjF>KeHj|9&l>a&aIHFe{{YT;iy+ zPEPQdfg;Ei;U;fyLKhj6jUZs{&87|PMG%uh8}sirD;^_=hmO25;ShJF7GglO!zJPX z<@CbfIjF~`th^JIkz*s}#nR*<;8aXZ{ID);EQ#~I01Js~ zYFa7k>TuNrHd2)k?#yCUB%pj_{S(rd->!{Qh;h7QhEP)ZqW+|DPp;wQYREFeD&dWG zcyOq{(L(Z1d0FYa@-uD%O))qF9a2|3Lx&W(!7Ug^cY2`Io#hZPpVB zm!$N@hx52AWPNe7+X<@xNTX7C$*Zc@L?bEeZaZ&(M1edk`BK*LoR3P zEA289^0|hV3!?2d7B?DM1}TBZ^vFG@8`Q6nQ1A~7BiHbnY(k;@CkVV6*M%?f&IQSe zPm+J;>kHgCTV5z{Q{PBSKBv5+2CZlHk8HXC!!xWwjn$_w9mC~dE!i51P|#QciBU{{ zGCtmXMlo{mdgfwx_np=dKDlb>24WY$HPKapYOiFGFYQh(|JuRcPHini?xgLDiX%e& z9U)F&H!as-hV+=Ow63{TtS|};Fqnw+R}{g=(EgcHnVkZRWZLEL|2OeAXc&P@~)v<4x{$KBKA3r*f`OSA;hINJw=4y z&r}!v1X%VIF%Gf@GkLw)3%Vk$l_R`YoaOCj+i7Y$en@gdDb;~yTc{OfE!1=I?M}{L zVQH9{miDZ%bEtWevYc~$C3Lwxc4B|>fK9y|OFp{PiPK1G%({pcDlO2w0QkR4F`*gt z=oT`$!&@M3@4xt>%XR^`H+OAKUq^=NpQXzpHYpb>5P>B87? z%JkD+YIxb`+SD{M_LrP$=Csu+J-81hsVDB4H8i=Gpr}y6=eizXgmf~vN8benzKT>t zb&zbLn?HlJ&Q+F2^=lAt?JZ1UB(#4zt2IFUFxAoh?+BKxT~=KjjGDO!^fD@5$8y+# zZSaOmQQ0L5`0d=+Q@(?4wzOmMUL*6vum@HN>D&8FU(wG@yzMs~2|`EDxr?&rS+0Gg z34A==SF|eUhT`v_WoQ&B?K%o<5$ zN1(2Z5xWGT2N&|E+z0=XKw%#y@s&>c{I2yT5_q>#N_6hRQFg3?4^ zc*E>D(L1~4xG;vVz;xe`fD?Dds=+_l9d#!ZAk3r*)FqpaJ%6>k3H9yo5tbXs)!TVV z(GH^Yq(|d&@BB)-*vGPhd>flXMW2^tgjQm|vDEh)=y7M6r-_^^h5q7i9;Yj$(Rm}s zZja{oxi)Ha!pH}p%bgD}vIkt@6DE0Gz68OR8*}{*Hrod)^t&?bc@475b0p1SfV3u_ zXatfXe}o?$pJLBaVT6<>tW{TwS;_C?h!3%>-(LPe2Do2jcE*k%u6psNRK@xRK}6a* zc2sJq>y&dF%J<%e6NIXPMXgJm&v{b0eu&(ba)UDei3%z@}b?TcRmE{BcewhMDm8ydm#ev zEmUFsND~~mgYf~e0|<0doGnE9_#jn!i@dL&j0 zm4Q#6>2{&%yeEVBG(p&L#w{;Je8WTe=$@hvSY(87#H0>1F#sy>(Y+N<6sX2&tpUdK z0ug?qhpHMrFwUtqOTqZ^R1Ef#WW70rGZf9{N&xUjr&7nP3)Cl=m+i1Gq}bKqil!fKM{ZD6royhWzki^KC1aUG>g>dj2eC;XTtORF_V@-@JKB5PRV$kXcOsQ)Ipy@Y`h*ct3Ir?b+c$*2Z*@pD--xsq zN+7_vvn?_R-!nYsHsb}rj)A?-iBchPE}d6Lu&_VX^Egz@Mjd@^RLXGVxSx7%FlU4dI%Mri-4 z#o_CrjRMCFw}TUjN*$j{6BGD2bHm9dBHJa!$&G2(HW<5NbcWlp@GAh^<@nTzZv=KZ~P*Gl!@fdC`+Z;)+CX8*++N)Xd(0)L_ zCzU!CjtL~I$8f>Rw*bPZxJQg8Qkb6gI=6wt{!7X*=B&@?FRg%%we?veQ7*%Y^gp44J! z2t?fPo|<)wdv)m*Ki{6%cty0jIYZnxdKX1HqQvfD%Ko-zpfDy52U9|P_z0g}o0Lwi z;xY)C)9&~#q|bI;UkrD19HLJ?vxVldQbQ~gIdX)ASQccZ@!Zq@>z+hVyywWdvstyF za~ette;`M=7xS`)=w(Qn&sC5Q{TBm{9(RGfL7+xWjN=(Uj2r-AwXwCuJt}1Q*Esh6 z48Z*K(cq9{BCNRq6*LWI6NrPLw~2I#{*LT&`1jd{$=v&wQGEw;HO8OgX zE+?^t*<>#ex3q21cP-`=Q~-%YFz?!5IU8ozYfW$=bpSN;#8Nmv(jwN_IEW@G^k@Og z5tz(5d}@GDG#K$*)#^5{Vjopz`REZtu>D5o6vz+;Rv)3tFu+KqR|2qG%^$Fxl|(JC zRuEA)nm+>GK9`)*NEuIP1i{#4;$W<81t@38M3e?_{0>0JJP?znel{9)bzt+h33+vV zZR;DyA3#&GGz7^Tr;9vg_i2j-rPBbIBiOib29(kJ;AJ0n2XM2T|g7fkbye_6rf-x|**z zb;f+vsfm2@FxLj;n|FU=Y;qWg^DPjFp5+TK11iHN)5it8Dy!DY#_T~wo^uT_wr*k% z_0fvUEq92y5b~Sj%6wxX2g7?e;&HX4Z>ecKOF0Ff;7s}yUcilS6y1|!-!dIZg5OW- zMsiamD>goiKb6C2ex@h$&O2kx6;pHJfc6=b_O!+qVnI)2%_h+>t!njJLY}GsK^U6* zQ=+o?W-aDWv?27IBKD3ILGW^P-D%^TFteN{vSEBjNKGCv$mXHsK{M7X3W9_p5s_hZ zOIARI7ANWXR+#E$IMLQZEPA2fKDwo)X(zp(RQy1+N&NIqK8*ry_66k%tSzvjL`}5( z>cvoAn$h@m&w1Q9kj9$F(~eN5fT@}xnB>NrbyGW?VvR4X73&S{W%A~5zIfanKRHgf zhv6RbdoI>hreVh+tD4u)wX|Z~d{NODm%iO-UMn04GQvdQbw3zB_^(JezcA}$ekU_y z`b0F86;EH4Snb|cuLq6V)uhng6oV!yNN7yFL|nCzG1xGaygh?!(hR;kh8kqPNm9oi zl?2~qpeNeh*#}1Qf`MviM<1UhNm2xCQk$v|+(UJ_&kRCQoG1#!{nOG$Xj zj`ykbcG_kE+MIR_iqeJmx#PIzC3h9Y0dEp7`TWA{qT%lbInQ8deKx}#1Q}JS%_0S< zSnJI+UiCIyk4g6Uz-vLJ6J_I}n#y^R&`*z*a3Q4(E7k&Wo?Tmq&V6S^uW={r0~Eke z_?SnF?J-nx7z6plA|F1=#~#mBd5HG{5(Y2>7%i_vN=OTukLZeNA}M#gx4A%8r^wf0 zO`}#SG!R*_0TBbJ4Ee`jJ8bB)!%$)M#gBZqUSRhYic%c9`(NsL@uw|N!nWoM#NkQ0 z@O?lLmAqyIxEyH`vNb|pDF|JB}`y23@H)fTyDisJ3fCN zL~kjMsTS6~{IE?3CSO`$(S5VQJA-a{NgoNbyA$m)F1ENq4Q{$0{uRLr@xHeJyUOh# zOq$|25CKbWb%w(i){ikP$Gs)@-|BVvFjj(ty2?<}&SIh&)M#0L9ggsrUzM&3V{LsYN zB$)h#G+2F@-OK+W(DvsQ9{Hk+rk0;e5#dFC|EC-1E`YasXQO~2EuEbJ8*jCib0_JK zccDLyh`JGvtVAwHEt0Q1g((NAHd9{2{D(Bh_^sg^%YC^aJb$pYAEdCl2Zz>eNxr2=;iJWR6Z6A9DcF%ao zV_G)sf%%l#*jA&4gWg)sXsok8L*bq_zZPB;eCw!)p@xd(kTe$URNzEbv?ToG;hVW` zOh#R@MzPGr=b|GY%Wt-6{6r@ON8cOWH^M|ME|=b znvHKVrr;O_4Ph|xO@ZZrGaH^3J3=uU20>YTzx*B9-OA6i0y8_CUhe2MP&Eo8LmeNma)-p9~@esqZz8-J7 zPJOW5Vk8|NAS4*%!U(|V_j$qI4<~2+@b?WsbQiIL8*$t!-YTenRcZgPkl+7znZ=(` zaA8Gb)LC-Ht)fW`$kdueQ){H6Nni!2|E6USqov*?njk4=nM*={0gL*{;TGEj9N8Nb1upCX9#e+Wa>&u!&^ubMOb4@L~3uVZu=oMmh#A9tpa zTT87qj!Yatb)k#YY7G|+?!L*9*0q=*h&e=~D>}!*z;+88m0}rKtk$F;j3P~E^K%tl zgb&$_#=isMNL1b-3}r|WK5&xdRyZCnPT8L8=IQMNzOo|En#bx%X3TAzz>P>x!52Z~-@&?g_ zpU^z&v5a^T_+%o#kc{=G-pR!MXLnN5U^V$yj;@xCXHJE@s)e5%4avx0Qg_h^;agB4 z^l(gcu;-0v*N#I^j>zsWR{-HPJ~WoQR(`(8ST+(ZzGsv2x(R=$E+!Ft3q24x@-g)VclX87vA(CLKq4mc~Xn#|!VZo2E zRjI4^t)XnGz*sGlp_}OA1rNXQo^514q`}BVsv&3lAXSDXiDCEyaWpngf=A*TtSCtU z>>)KQSVKnuB)^R20#D@oX9mM6a}*MKB8&@ybS-nTra_hu$1mVJef4-x7LjeHIUO5M&bM z!loBmtHHV)3hF#q6AFCtrsLF5t72zPtutA2$Q9MOAU<@}O<^AC$W7f0(9@Z5g3rs5 z1EmN1hxmMSOudGizBdb~KX0G8p31j(8+RGNUXS}9y8U$%;|J1X^J{3#H?@cQ*P5x#8cTrxTumEC2_%4Ek^mMZk{fDUr7V+YBG{Dpj z!Mo;>E^+-i&V(7TVE&`ZjDrAFuoUg{E7HPr?oBYjU*P2hwxwthh0t5cV4?LF(7mbA z0$-dc-hDsDAkZ#Da==Sd{iYqb( z2O$DU0Dy29T?`0cgGBJ2^Zim@_kNyyf;$g_#aLEpf{C2qD6t0sh#OX+T&f0#%qx-1 z&IVYiV)t<^lO@@%KA-Tq(dHx`_SiGw8=O$Pxb3kvjdc=D0)@X?N7yh|lZ##01YR)< zYN!}kxPJa2ujjP?k}qQrogeP|4BN3wcvW70le>*9(6;*7adar{ZDf8AgI;b`=+g5q zpNw}J=ZqEU9BVE%8h|?{8V~%h)1mu()4i*oEIZcaxQ=jn^wsP%8!Q|cnkU49M?W$T zZI0ufuXVKWq4LjIY5vAQU!6qjJX(x3)PGt(y?X(I!B3Q+J7;9y%+=KYfNZWXsoVy? zAlR>(1*-$z2aQZYmM0#8rA0JF{k+!MD7#K`eGGP zE5lsVD=qcP{RE|E(*y+Wtt$zWN}GiR%3n?Udt*`#C5?ZYP9<(PWMy>ekYBJ(u(@h( zDEoGs;iW1OlS=S6PO$U33pW^?YT~NZ=Qt2*(`zoR+*ERVPI(_lt;nn7xw2Ovgx4fx=F76;X{%hMP7p}{0yA9m*KtIhiRUfiSVnX7Vf&^5xQU$ujlr{`ZMo1_M(J%aP?r7&?h=JD$4$4%#6h?PlNpCKU+WzQ{LWuUC@c$IQ|Ky(^UK18K z1XAd_E(DgC7+U;<{~{1!){85ll3_=-l&ti+4D5<~`~ShYV#9j_|jT``ID z@m^DDatf;LD$E1}60C}?3iv+;Yw(nd4mRSfD$J;=Q7YKZSqb>^r+`;BUeE(muG~SI7oK8?_d!) zcGajVG%3MX1BPrh6f&Zoj`28)YU;}tH!boy(nu7Ue|cs)H|SAe*zTcpS`i13*w}4D zs04JKs#zdhPccmbOuWl%+$=uckx%hz#2i3x@sEX5gXkv5j8d8pt+rrw^f66cNH0k_IaX%O)bIJS;}}DkW@kx z68Qmq_n}DflDoTM zIdAm}p&afu87X+h$!pF+&Uc(5VWlBAjX;ghOL-)WPasDnsb8UWscbNr_G;bRID|lahDegi>sS>*e_Do4|6B^sjMhXk2K%2Sf zdr~AtN2z=E85Jtt)*3|A@~;)PQe-APjE!cq3?iJAWEa4W_w26+K{fV*3ig~Gcc#wu zq(E(!V8HPkV{>i?D+?i83VsY5dDzZnzDy zf^2t#5I++o0);6u)Ie#KO-Z=>R3dB{b{&k1GWj_B5ZlDjS;c~TpMWSr0$F>o}NK)AI``t!O~oA_4Q3I#urbZN`IWCYwOZR$ z569=1{3p)L|K#@nvT+|J=WdA_UK`W)$#{=>V1sX#$6jGASE%U{*pSn|i*WzT7WyA1 zBDs-d&1UWF&k<{*v}bkD`qb^7d8IH@KYmCm#UaZ^2qvmOW|~-XmVXqUH6!(2Ro)1= z{;KHfCaNt~e1)PX_#dYIKW12HK3{)dP7 z9_sB(&abcbDh}8r#u+Tru1yNuK*JT6By5N|lm93C)q{h(E7eT`F&{!i7NCeCGS)I) zk`6Gh>WTR@@*6v4IG!<9}H6LixTud*@wTU zY=L(v$U#L2dAAmMfVZ{2W~7t~nT$^!0A#%t6G60pq~~~1KHL&%E=O@w+`@X@+@0q* zm^%|XbRruB>Ql(IcCY)wd8XfT!QcV9mOn04w?Zc7e5sTte~X=0*P+J?*S)u3@ZfEo zqQ$5}rpD=EpCiTRyAUg0mrr8_y$zNQO*gqMj%u;H=Y zxltpOjqorZ=U?HFVc;Q!gSRi&#;ySNDF}P%cpuKUZPj)VZEniP=!4INd9&<#{CpjC;>TZL-Xx-;nu0_2J=Dx{SWpo>wNMsw z(NOy^h3GHuODb?NlbgL#`H6sj!|o+wf~AR1zf*v2+$#&GBOCrC3j}7?eLOmLYv;5M zZ$pVX)Cwe)0DPj$P3E4`OO5v3xL`&8jhq>|$(`F~>4dg1w%j7z{7-ttrhYYSz za0-DfL~1E|;WcA9RN+Sh=E0c+Y>olk__NzE?+fAWSOc0p#NROhS0(xw&E57F>2G3k zdf6Vn;DPcbUv_u|aCNW#{R~R34L#Kl-NZB;E({nU@~v6qzz|4F6XHl%m-lU&BMV`0 zB|$5kpwuT9Gy!oZVY+yFj=t@8kf95XOyYsS7RQ1r8{*V5YG!Vh8{{8dmh{8eHh*u^ zK`0v5DS)=Io4N$DD$E0CcKuswO_=|S|99~jytmxx$0P})ynNsvhAI33igMVMiFi%U zh}fR}`74Y5-{R6le;3!ZfxCOY=2`fqCCc;R_uw@ABmQ)5mh(~=|N9%o3H&hYl-VDu z7)mxAteotL6J+JhJ=#7JA>p@tKSPvVc=6N1M&iMdhC8<4r$M;wK{rlCXo@dfG|Fs! zP=ot#@mRsP$Cy%`Ul%6yR%wuTh2^ePs(38psYeCKN){zp$p02UmKv_yu%Y*0y0)M? zUAebsl&{Vw$U;Ha50%^vc;Uq|F3rCh(x$;7?!CQdoxoIaib*jNy;-mYQsTIWOqiu- zy-`9%I_s^RBp^e-0w)qiegy1KFCq@BU?T+rGP^2YKD&o7*y_X_l$cKF+7&1tt=_>0T&RbukJ0(*Qzi zzL^5fGJ$RSQb2=l@dRKHrY8_*HyX&WS}&n^TQy*iLpvaRDXMT%TS4O0`MLoV=mO%&E0-U0i)51j~Wa zM=H*Uz7E0|{rk5kzX7K3?;qc)qx*``owBFaDtR+DqIqzS*Ul$S?0t&(F{b>6JtT#X z{B53qd@7&#UG-(pQ)a5wmuNkDGJA4PKF!$;oj z&Vmt_XcMGTf^MXpPl=-;7}~segXc%#1Msr?22mMj>EJ2SGoBCp37NXJo0EL=GpEf! z*P6RsIh(Ws*g{DYh5&Y)!gw6QE?6r`&@b;T-#zzMAlEHbm|mPG3@&>_PzBX8t>@pP z8IaBK7xA1yEQ~`tf!4f-E-Yf$V$?R&>V#~(%l6d622By#n>g>O#fB(^6mB4da&`a2 zL&gf6gu$Mpsd*{}rz()rHh8&j&Io)x&Yeo3GTd|haM^YedB#SVogz*C{;FG&uGZ~h zbfkSw({WK6AXy_ozwFn8Zh-Zoy$IrD44KnkqBay!R{snu;7jnHh<7nRUNU93&PvELLwOiq$&?RFqSa%pAZV!3wd`K z@-bKB{X{;K@+A+o)NK4=`eqrt1rCV{k)tbkvGXo1ZG@=-dhyU2Jf&4jZFYBlTde}j zBZ3W(6ZPIou;QJLg{0|j?S-Br(<9THkTQ2SRt%o6_!%+W?PT;`@~kb-6=PE7Y26HK z1jB`nWj!&0k%vMc*L?{?a=MnL-h&oUOuL_XSj>c^h#~ZZ>4)JPPtz%lX}P1;L(-e| zh&#*q=wBz2+3>Y8wmfISUOXoC7eE624OfcC6z?-US*&U(Q@JfWKV8NC_CnFJ+KfL3%!cheTaI z0gU!kG|Qw096MMNEI*ld{`I}CwY>oTzi zGazsRD8eDZn%lunq6@USpk9lqK5}uot?jG8VGD!|azWd_4)Fuc(w7&!iS!^Tq!3Em{5=K^d=`6XnDG;Zfuj$pK=BfZWry1q-5smWQa3^Fe`4k=Hq zuCS(HyLApyfa?p~(Rm3dhwG17PmaT@SO$==2 zfOgo0u_9C@B?_(VsR&@Eg@8V#Hnh77mqLZf?ImnY?B)0(8x#!z6nG5YA}7)|N)eyu zoK_AYhGr_&7~IXa%SgxI*Em3}cs{TU-fv?9Hq+WLz67%D zX9R=kwM0|Z0|cs!hbN9RPThnR0F4&o5uA>^3XHue#zXK{9{{?T&RhJ->%-fcf34Dc zh_<_sBY{|>K8gpR;p^=w(UT~jSpcUXFKRH{E7#np0&)Viq5WU{zl%>d$0nb{=44yV znD>AMLLr)EUI&iGrpUHU>D9fdh#}p7i{r6SCT>BI)XId`kKLvq1AklTt9cVwuP3q$ z_b-1M11f$kS4go)F7VB+mOY$3sJmEkw=+A3K_{}$`c}N&(l&|dI+bPH6XzdhT`BPJ zPRMRWECAr#Z@qg=CejWw6a2UMWugXq0IBGmutE87{3aF$6kP)jg^`rYgkYZ9)v(Rb z*~hQUeCOlxj=sT=V`fap`%w73SZqlU)8AIg*(3qhVTSz5*pa2YYSXbx)7~1v;~!#| zE|Gf@qF=bgL9qrbizLqwqeNg#HiSK;`lguItq z=#d5^f8Q7~FqUEViun}s*;PH5$;=j9pP&9&DyCYZTDbzVw5q5{Z_Uvu8HBJ2^KYMo zHn50QdFXO|S{%hRkb16$Vi4gm=FEAf<2QfcllcG!Y)>a@!dq2?s`wsxq~58iaHOnK ha!T#*M%L9k00>>B{R9B{1R#Kdg#rgb_?JKWe*pK!gO>mR diff --git a/crates/jolt-verifier/fuzz/fixtures/muldiv-bundle.bin b/crates/jolt-verifier/fuzz/fixtures/muldiv-bundle.bin index 11be59b4e4b27f4792f38c2cfcba276322d7d743..9bae45a6a0aadde66a67ffac8d8007db10010678 100644 GIT binary patch literal 180587 zcmagH4Tzo9miKw;occJaI`xs5DsyrxNsR{k#G9L&aS9bDcnc@^1}Auf1YeP0S4*(d zcChPp5(!@M7Pd%`poJ|?@aAe!Mz1)*4vsh?Vh3C7-~>B3K}3QbLXaS0XB=^SJ*(@^ z|NmcWKWA6fsd=mWN`7mtz1RN!diL|2QnNIK|1YJ#9>c$;OQnuVvowi+R;&};QIP=u zEcIB`4a!a0!JtNia;c*{f8nP;>#qay`0Fynoz$-VbEfXG)gD_%vowJqBesU-9i@(r z=FTz%JvQnF-ObXN4DjFSj_y)NWB!Zpm$)0Yjc(p(&Ng6PHT-uP(bY=LG5GDc)~=_Z zx1+D43;NQvwuRi)QFHFH8^ooKt^ug~?M7FZO3fdy{iN`LzzuMLs2&XLpAbG2IIvataNyvW@R7iwA>pHeD?uoL$APT^ zc!J6<6u_%V~*?9 zZX1Re7}bW-E@_WD_LnAvuR9KuwhB);4wlA*Cmn~>F&g%^qwt_*YrMza(}cK^uW{_El&b=%5{?V+C(Qdn=Xx;N0lg#4e=( z7a3qBbH`YYSz-i$|88dnfI+2HddUUd9V)HKd!701ax3c?+{lox8cK=v#%C7XS z?7r*U;-Z)JDZ4f5>f7Rc_OB8paaS4EookYZ$ab$DFqI6_qI z#$=IA2e4j4H8b8Up*5iSV^oDbMv!KMg1U`Sz%dYnF<~Qdr4zJ`q#crWbJ7y)wl!(T zq#aLMV%=^|+O5)VOIl*xCX#kS+U-e8tlN&H-6ieLq$SpESJF;OyE|!#b-O2Nr=;DJ zw8XkiChfGedy|$}w|z-FBklgACDv^!X=kN9khH|Q9ZK4h(ms~7#JZsxyqr%-`()A* z>vlM4&q{kFX^C~4N!kn2KA*J2x*bj0E7BfIT4LR1leSsnXwk6aN$-NXyUOHIm~e}a3JVG9cDk_GCV zi*tpA1a3b-PelOuNOU!a{<&T`nwU+~V89LV~(oDJ*8);)lXQg1Y@w zSe$eVD=Z|a8~UTShvq4_=%j!>&jod>78YmSqE=W)P`9DN;(}YOE-WOd+nU1Sid&2p z77|o!EG+tbgs9j?S(G|fCIJSD7-C8>gD|T2>$S~Nb40nCBTB`#Qou217Fe_Kq{mE- z_INWfjW>1M7T7Z+?L^?{m~eaGx~;+;f$JxPSkWq~SaawR*zL{cOQ$LY6+Ckl$l~Y(h?)CS-9wAxn@? z$hig5@h9^rS`+dIk*1iCPlZQK$X)g!k@@lU)W^h>pI7XY2%FYZiBo>Wt^B-VpGNEm zfLQ)maLSMLt^B;~26=vR3*_guh@zFB&mv8+o;nvEwVuLqn8^IFb64$4BJi2hZJ{|?Hh70SUZp|`%d~Ii{BHO#f{3~kD+aJ_=-RAruoI|Y2N`zpJ(`IM!*br zFxF$1xJ?8o(r(x11)u;b03?As0tv!G1>jMl0GI@f6!Vehz9nf?k1SO@MJwB@%T#M% zS)4g|Ysz;5HGc zxMbfdu9rQ4iVI0#ape~9`C3GY;;MLYt&TMJElHz_Ya~*%vb}l@)he#VhY%{RwGnv? zaO;VwxQ^R3p>6cAxSlO|)BNJ~ytgjdw~FhyUB?JmTs@5S*@D|dpyHB!tGH%8fQk!A zU~%OZD4#z?lqjwqFRtq&&3#MKsN&ijDO%ZHy@hHO*Ww&1^j4}_aB0UfE_<#oun^G- zf}27wLRM&#r}#J(bFH%PlZX^GfZB<-)I-I=sR>?@M?H`4A-S|aupN&8!A_arS5 z`--IfOKJBeEfM>Qr2RW-_a`k8`--Ify|f3CmWX{t(mpHgV@XTIz9MN~miEb{C1PKZ zwErmWk)$PJUy-!`B<=G_OT@k+Y5!H)V@XTIz9MP=P1@s0OT?ZcY5!f?6G=?aC~zjKRk3kwObpC~MT?-oB477}1TQCK|d z7FJkDfc->g^or)oZqZ4B_7f6dKT%lxqg&Jp3kk5FC@lWTEmjv65@0`3Sp2J7j20FW z;5?zQ_&2xMSXfAaGljz9-`!$!VIcv|6$*<#yTy26Awk7%4vW6|HhYqaZIgYeV`Y2w z1l1aX+Jx@4?NW2Zi5<-j3OFXsqAk{JXVRYrV$>jVJbGEUJFw?j;XQ$)zZdQaT=#dv z$-wo0Dcl>l;kUwlf&IS`?hhRJwQwqMaD(tb;LsqjVTXvU{+ET1IrfyE6;3;jmVPgM z(s5ns?}UdP*O&fMc*Jo->9@ie$Nti9gwHz;lzuHd>Nr^1AUx(cq|v!zvqbJ_=G*L9 zDt27fthcu6*Qr*$wNdxl38_(U{|8)m*~zeOyW<(Rx2eXK2KF+4H%0C{p7%l>JDv}O z#ia8gF-_EOIasf34e8s+rxYK$wahv6$%0v2AdAwrZh4-}HOxz{{m521L@_5-J z$k&^>1$@31E?Vo&?<392tT%s%6t!J%cG-_qvpl#Qs@l&)mPhmNaU_f#*?h#FHY|zT z>^D>*(zi-v&dObgG25^tZWDn@MEX{VyyOw6L}J5|Tfpb5;Q}S14au9B)HbY#`DP$TOZ~;*yxzE zF(SLyYTxZ8-n81+-{QQmHl_fpJV4@2t2}_10eVVEFsi4K0t|V8#G8gZfS3VBBf#bq zV88<;-ZbC=#0;=50&GnIY91i*rkV#3Gr;-?FrEVRdVs{6dOd)c0X9T{n^SH)+I&>sP|r2yR?An~Sd40(5$S#G5)jfS3UWBf$0)pzHw>Zz_8LF#`-m zfE_77JjqL(4lcwDfS!Pg>#>~(&}wG87`*i$cDJzgAoiY6N3*(@*sErRc6-bcqgkm7 ziRlbILQerD=*B4pEVL`jE!2fP3Itf~?drbdVimi_F-wewC>P?~g#l#_MHjh+TzC|4QF9j$B^SN! zA~8CYT!?cQ5^SIgbV0hvE#$(ZfD1f>WG)^~E~@S#F}k2!h;tVb^wR}8EnVama^X?H z1%^txcqF;#b{C1!Y2`wkyO3ajF3`>CBDatWj{+|6;FT^OO)fg!MPhVwxe(_rBp9R% z3=DLUTgZh+0T-R_;_>97>@E^xV2}%O?m~hgy1-CE7rBL8cocAfBOB)8iR1#a4qH^> zbfhWHT}ZH!F5($~ZXp*Q1zc$G8L_A6B2AEUc9_U%Dh98_Y48%$W4eZLWKj|mrzDE= zBubzGD3X|4D2X0LD~U6C5-au`k>lkE{?lvE6LpW{Y8G0>jwXF`0`-7x)iDYapWaxVAI_9PrUTax=;*aVjfuURDz1WtCf~tUQWV zS$!30in6*89;2)-5|=Bhid~|bGkv?F?6z)#>*{ zEMfXF{dJ%$e-t{wapraqlA_(hdWGo~{fv_%hyLDGnv*);VQqa{g=xbpd z`H*41j;;K6RwH6bhLXlu@_Xk|Jecr>;3GCf11!PZV1x5I82G~PT3bzn^&J}!0)Gu# zLtg2GqmWS|(>Er6W5mp#n9(JF8)=aF6Ei`{UxNmjzs+R&V}@{0L}dQ9%HKFK^C!;p zcQXw#f8soU+h~yan;_F4GgP4u=lMHKgUp{e&)*RmWd3Hz^v4X$oz@({LRuJ^LLy~f6Ne$!HLY@jQpJ-X8y!^{!Y>$^C!;p_cjeOfA5m%j~S}l z`$Xn%R{l;AGk@Yde;?5x^C!;pcbW#7zcXa|V}@{mPGtU0%HKI+=1-jG?+Y4a{=|9y z&eI_CcY#cQ%uwAf5t+YJ@^_h-`4i{)`<4coKXIPFD>TUb{XnKaW(ddbMCR|T{24Lx zC(iR%>VZM#Pn_qklLnc;Dw+P6p}N(G%-;q18zN@@#CiT!(;)LF&hxj12ARK6GW{__ zIIJf!e^=yhBQf(Q&hyuxLFP}K=WjC&GJjji^v4XsYMx6vT; zD9&>@L4(ZWb}~IOOBLHegvTEDSh1ZHV1CAZCrq@k*rfm^-gk1rZVI#BoF@OSngF)ILZUgQtaAS(cI zUgQtcAS-}J$SeTV zA8CrE;0xg~mV!r#%Pj?m?M0|jY>oNzOIil*l^j#lt$QXfDekyu0{tu*MVbJC;X zaCKL;*NCk>#~VZzUferL+~yP(8U2GvpBLtv5q-LMlDJI-oxFDXih`3`5b2{QmMW47$$*Jh2&x`&HBVap@D?f?bM4+OVJ}-I+@}kczRP-KYtLV>0 znwKg1&mu+36#Y4>mn-^;eNOfATc9tbMzVYhbe@Qo+qUex>_Vtx3v`K?ZGkS6Q5UfV z`j(h&fxaW7Vq**ReT2q!5d^~c`eW$V4FZ2>KNGX@Rh&;S^EAlDS8+bUl&dhv#@B8# z$5%S2TQ8C6Vcvgd1H{aqI3Lef(IE3D&d2i+8f5;~lIf2Q>b9N;f9v?T^>=m+G4m(R z^LHH$GJoPcf7jC>^S6aee{@i{8;H!`Z{+VrV&+er=kFF8Wd6i?{%)l~=I=H#{n0_) zZYMH-zm>l`h?zfep1(V3kognm`MZk-nZLWq^hXDEyO+rP{iXcfN6h?*^ZeaUgUp{e z&))+y$oxG>rawBU+e1X=@9*UAVPfV_oagTm8f5;&dHx=yLFVsqGX2p(-JT#af4`T% zr-+$9ah|`YX^{C7=lOev2ARL-$n-}Cb$fxx{5>mwFA_6<;yiyZ(IE3D&hs}%gUsJ+ zWcs6ny1hYU{$7^9H;I`)ah|`oXps36=lOew2ARM2$n-}Cb^CzG{QaZ+eMrpwiSzt@ zOoPmyIM3fFG|2pYN~S+LsM}{m=I@{6?{i}2Pn_rPOB!VU#CiU{qCw{GBANc^pl)9i znZJLPzi)_{KXIPF?`V+u6X*H+o(7q}AIbDb2X*_I$o&1A{LK?Hf8soU~`CCQI{E74YjnE+TC(iS?mIj%>^#Oeo6--y}zKXIEiBvw9uaQl1_`Y0pF7NLpTM4&~e^!XxGf_xF0Tfpb5=25m5 zp^rzJmsx~PM~aqNgg!y_a*NPmdlG7`|1T_QmK}IN#=s~(J#g=_!)}cC;Kxw!BX%Uz z9nHOL2t78l$N+B(D}2ZN>r3Bq>anA4uD2vd>==#t^r?wglJv03)pB08<5ctM(<&%& zZ2ua06}muEFI{2M3IQHx`5D5S6kvh95vy1}2Y8DN2Y(^1+dC0p!&bzI%?=S~!duN271@_GfKM$;(6n+`le@ggO;J{ho#lXP} z!mk5|t_Z&gjDwcCeHVhO^eq9T`}+{AZf<2xu$T|QaC5>1KZjtXxyuFfA-K9Z>4I`E ziUwu9ra9$;?hw?Q(=O-@!P@4G3kE{)i{`8gR)t`+dC~T}_(s4MxKd{$vB)(3t&+%%Vy*6yW;~E`}Hf+kVu9M4#9dKN$ zgGJnSb^L`+{p$7@5o0Gi7n;#@V5b-FlYt#$(jE@1Y!w~}tWK!!J`=ct`Nfs_z*Unn zem?N3DdEw;)ziXbfx|Px*}#!m;qkz$PYPcTTysizBCvi|crtM91>xI)zqlfNH?UW` zV2puGL%$CK^*&U^P6gJe?XeGm_(%7ADF#}$srVbQk7=x-?<2-m zw@)a*)uw(B3g}E=Z3tMlPl;G+xa+c=b?!&)$k}ILIs>8Ieon0-FLgptw=XF`Qt??9(2(V&4lj^4*X>Iw zFSSc~S!#qptj#YLAV7KE6b`)UMaTU7}u-EY_b~0eiaW%UjaKKR=6gcEKqU1Jg zmE+ay+|aIeT*Iyp9C572z_7+~t%i+?treC!s@_7&HcA0nO~+Lw1TWiq=RTh^yKIb% zl_1Y)QHC2`-P^I6=KXdZxeqO~iT5vg)_gq$XbV0>9xFJVHA~Oc&59D+bJeymzzW9D z$6+}!VBU`1tIkZ=&#{}C#u*T<=QJa7OA=eu0PbtiHnyiIr0yu0t z+@LWDtAln2m31_lF%$!GcqjQPjMD5GX!>`NF@{B3-yNu)(6GCSRg?yI8F+u$ag{bX zcz@Y(t@c>}m2ykN9bwPcZ|al##!Kwu%836v%2yYN$^Qb`=|mD5E~t5LusW zfc-W~WPLu1TvTkm5M2aHRQ^~pX609HV=~?d?VMdl%vx*Wlsj>ryX#Yc$X();J23;K zKD~tj7UXWLBzPXfNfOmP9#KZ_ZX_~yW6<{7Ekx$-kg~HaX(ynq+CbdlP>wIK4L^JyY*P7$#T-$R}7bCs;lq0kYlv0@Ah zw5>lyln9^~D_^nulgodh%Rd&pY5wN6E@j_x`LYM7(dECm%iIDkUyCT=@?Y4xU$F<0 z%YSy4i8sw}YwJ?_+@%ElbotNjGPjURj}k8bnJ#hQ7A}`rsyswB>Ws#igr|s_!+SW< z4%-0;SbhA@L3@O1bk$lksY7D40rkyS?9tGtCY3lfDKYco-Mz~mX8^YE33%(bCx~o7 zzlS>Y-zfv|2*(HQGVZdUN=!l#K>p}8;lr~qQb$oY)NU94_qoQscGJm=i+ zdBN2-GN#pzEAsY2VD*CVXyA&o!WRQqoe~}kyy~RzrNGs*!r4IXVv&!zz>#U;@xZI6 zgs%mznH0VrSl=alBajPX40k62@$E}gD0XmfQqbDLog_k`9y)Aq0YME6oe2DPQljRO ztapg5{J$F*`F}4k^8bEdE|bwwy1`klN$D{wuXJ~SdG2h7mh1<*aGdBj;p)~?YyH7YM}kf zadqtFE;tUyUhbmfNQu>kowMWBY3J;?rZgt)Wyd-Xmtg#j<67j1wf3zLefJcwY~K;l zL46l^+^&!@<21&&pnA68O=Ilxe{g1x^tZT1?FR%vOf{|_x8i@D_7kHRLX_;}T!OfZ z*jQF=p3L`jn)|z8aL~&A41nE{b{|MJ8e<2x8{L$1i@67)iuDqq>ze@f+5qt?tYeyb z=ci(;LeGm=7@AhQ9&UDXds((M6s(HD2Rtf!NHo9A*?KbOuC#$o?6dQX>zQ?5j8*KK z2++?C@GIL$gsyLXdP!p`-DHiV=0I7t&BXP{o|4;dTND|}Yy;H8b^{QxHkxaY_>Na> zoNCs~X4cCe3*NNZ>qYuj;;MEt189G)-F4ZvQNZjoyC}{HGU6WaBUQ}z62N2-dNhsO zo$=isGH&uk0G$^M+Z{m28|W%f?xYd}#|q|d+;$1!jB&x)ZZao=c31ev?QW`9;MzRn zM&aB`Mr59ps_k*Em3G5f)$St>A|tzCjkn^2t%^&WDo)I@!Nh?8E9?OV;Qsf20Cw4f zLbz+rQ(v=(TtC1EL8UGBaG}3I{Y~~r5_nZU>gI!pUuE%FQez2@S?O^g{?V8}zNA^8 z;HGKJg6l+JOkv6R=u%^RZI;ITkdiJJzG6?4*(w^|DiUwPy(jioF>~(oXU(2rfc3!U z6w{79cKB;Qp~+*hI+-yrtD+c>yvZ%W(hk0;4le@vXJRm{wx^c4Nu5g_{GJ4EOP+xN%!lG-cr z17aUql@ix)rxY2UOtL@XWgj9^t+AqN9}BS%+M!ZA9ooV9i%Y9*+CHILDOvo1A~f=j zPCFxgYVJ6*CHEjLF@kHvvTNr_v{pkiM}fI;LPBiDJN zdS}~_>q1g{NnIjh+2dt__iq##(#DdSwr_~&Y3r6elI5sAYTrQ*ubeQ-jBwPxcL|Rm z)B#8BN0$uJhFQe6ma#I4O$Dl$QGkVLmv>s6*$zN}LgqzMOe&p31Q^t$qFCU*Y*ooo zwyR+VJ2Z4X_^U0l8i>?$%I<}S7yksNmXmKo}14H-u#-bIIP6bwaUr?l&- z?dcdry8@5f7vy@ZKrLeo^RDg z!x<+RA70yFH#)CO@!cXuhn%N-6u-Xi!hf-0V$PsGo1|_f^DW-yUY2OpZlhow1U~^W zWe_o1q=)-E#7M6n(Uxte8z9H@fy)RUzNQCZ6}v0!yWRev-Aw_?qi2X2tk}I_pcBF_ z+e5_Vfm-tvyF%3_rAPMvUd4SsaTF!Orit`D;ObHDNcbug8I4E-H$EC3sJqyB87Htd zhRASnEKm^3lzZ-;|8KZ^LE+N?+i6G1{W!VSS_t!)^RO3or@ch(gI@iv)8@!E zu=-V}y++0m;)iZ!d&BLEz2OPxc*s_Zl=ADAtQaE??Kc_@I4F#BrT( zGdQz&!oQIjcE2$QT0RJ(Jid!qHAqa`6(aJ#+RbsXD9a~KwSJ%;6~M2n0)Glz!+p)D z84!uX=fcv=HctaS+-cLXu{OZ9DICal)bSV#f1TDzUIFHw9NVBOxffb)S@8lBaSe)K z0$4G8iwf50S1k0hts)|63JhND?Cl)e{}D2JJ#&Nw+8S5)mi_`bY-@q|M`H^A!K@!VKU}db zp;eWP+g2jlgqO*vjf0WKRjoq4krr6iu4-S%H&cz7dSJXblXV!u1EIxD;4%<+9qe6*V#^$`jX*QMNb}O_=EN+8KbGc zvt75xrH4J#X!B15jxuSO$%u$;piR|d*g72Q#&G9_(Qhx1k+ssVk$6m0t}YgU$HXYQb_+n*zm)7XQI&0uoGk#4 zI~NPU*TpEhWfp*MP+u$nU$GP9Y<5YUW*2d5cB$D(j{qCa|I2&M+Yv*ovEB)cX8`XK zQCV7JmF+zudaW03+1_`KK?HZf$*sO|Dlq!Shk?;IJ_?M!@o`}EjnjeAH$DlBzHufn z`o^b$(KpTpM&I}>F#5*1z~~#F2S(rcf{2w*^o=ixsQNf@Jr4vm=C3S$yjHQVQdCRY zCd1eTsnPMS2roLOYbuu<(>0Z^9n&?H%Z}-q$~TVbn##A1>6*%Sj_I1p6~}Z<<$K3; zP2~s2bWP<)N57`hu%8@%!LvjR6+a6x7o}S(Mge+bTK>#C_hWEJ06fnek{)X{=dyF3 zFBpy+ZlHMs9`p0f#OZuf%m$1`h!{q#iU5e2+tmpOFazTPNY-UX4bQ7+F${}qXi>FQ zv_O~=dLc5gS_q4~p`A9Y1P~r-^tn?yE}$p=Aq$7Xf{Rle?tk`u#*lK0;iZzH?PfeV9s+bwY^%#V&*=7b<1H1slmmMN}EMvw4S8z}* z+l|C*hP&Chc&vPjb39hYM$&o27uaRH)p<2WR>aq16JY#91u-*!-- z$4p}s)NLmPSl7fjaVIfL&MxO-+_=lR7&ms4ThA))4y;~48t~DFz<5@1Z{Vs^((Vbo z>ZI_#z<5?M85qwh?hlM-6?+5YS;Yf^@vLHBU_7gMFi_7bup15hh4+ky0*gl%QxvoY zl81>%p(a^e`62Q{W!q4Gm{N%&5X1)PFR`k1rF$(Z%hS$N`2s-qd#v-Q9sBE+N{ z0S4Gye`QY+p`?i@Y`4i?HCaq%#U)I0d}xHo28r&6DHtx+>R61!ZFJP%aYd@1nY#1!KUqm zf+4z?LlKGr@W&>M%^&pu9ZMdxlMzj9L)f2S*08rIuVNhgH-zl7cZhtrcplhq?ts^p~BB z;prRaVtD%2xfq_l10!M;%ZPnXEi0{wA9G=PesuF<^YW9plr}FvyBbfbPBD2ny9|A7 zU*?HyXxeRzT6v|st;U4H_z|EJ63l4WbGG?GfKKbC8aFe2i{5FyY708xF93z*u3ButBCO0Hwi7Ck_pq65ufWMxArb$uI?@U55rA2o||zs{`(yw&zwgUo~EJ@9qVHWM-GM8`z#QOf9HTV;l}9zAT~4t?0hp{LjF z_)pz#q&2eFkAV^yxP_Rtg>BBo+;FRNu`!(>w>GA?xw@#^?c$?*l4{MJs!d2FssB?5BDy`aPFg7zL)t*-69!GGDpz zlZZpaRx5i<*3ruFNk1ZzrY4G<^~o#oFHpt}dG5336(R{r0A-d-W8wVkd>s8tV2I5pnght&H0{M4Sty zLFGL#GL@Z)yibee&qO}(2#Pb256Rh?$j7d~s8GRo$P;x~T56#H_kMb1tg; z9Jy89pSwDphqg@`ra40%P@dAuv{N7XxGUb}2AcZ(j$->g{r1 ztlqu}yn0HGz734k+joJndb<)BtGDk1WA*k!V6l4pkph%ZYy*EH!b@xee+GgYZC-ES zbdn;QpVf9EpTDuNn3o!n?_v~I!VMJcebVbhWyclTaN%7B$5kAlVBGC^RS63PVAYX( zD^5$j!cs?d5?Hnxk$bb)iw!vAoSo+Q85rk2-@A?4Dlim%nCGs6MX72dwBX?{hwi$q zCGv{a1P~h_58vzKAC4TILUuf4p?~@w#%pu-UbF8B1*v9UUz*QEe2aom#RnYB-BU*b~0lRy+VVm!bk0G*Vgn6+m2Ct$9X_mMati0f_d{bI5Gofu=AuPSjumCBGkX@gyH`}G=yvC#N|T*JzM1%M3y zL`Dg$@Z+mu5pR^^$OccK_4m`Fc;}_Zmrc34MLNn?xjlEKzU#@-0eyGq8J}OP$@EBP zReD@bP<&lhBdhLkhR7At5CsE~a1`V!8KhDCpski3^I2r16Fr7c?njb5GP3y6#2Sw` zmXmX~R`I4Td8}aXl7Db!mqg(pVYrBx0>oP(iPL)pVg^8N6yTajk$3uImN|X zYDB>WkGt5yDDmbAVvvi($%Qy~Aps6{3m3VCTzC{M7dOzw)h!o^lM8X~LV{jwep4=T z3%T$pS}ty+3p^N1xk#K`h;tVb3}7RaT;vvV;ZYx0PBoOk(QQ6)Rw*3r>yF0=(KvnF{P%Ell z+ePfdymA;(9kkskqDHyGecii4-8ZaN^X3#SDPi zNhSLf1E|?7zJ#dSJxnzVN{0(`_O!UwkQ1kdEY2IU1bv7iHRRj^Nq9A)ObvO?o}mkj zFzF+GiI@96iuAcl32-YCx%5FMw~$MZlD(0IfTLu(MDy`t$4jK-mC$hx#!IBG9@J*& z8GDh)Hq6B)Lcc`jIhz*Lb2ckR2BHoUr#cWb!9MO{?ZW`7gEr@Q_}yNr(fIq?HGUiq zP~C?r(l%qxPKaAolsHw9I4>^=aB@*pQEs8~@+eXj;f#SU&^`uy^mr>0*xN3FICG%7 z_*7uo-X&+RR=yXp>C>Nhnk&Ss0xC{?6(Q8xHTBpjAY8NJu$KRbN>0G@+hW+0f=cel zPE*Y-78mO{jR=e@5baV)-&v~7ND4I7S&Qp0`*)_Cc|5ufK$;IAXFa@b>+fsp&K zigEN?sv)THnPZP#adm%M)c-&=TG~Jx*D(Ld&9MZG9a~n`IB#HJ4YCs)EO4ZN?~CAo zzb}63uG6trdKOyzmXwgKdV1-QUa=b0=o7W(m8xPJ^5A-@3z4r*vHhKLvIdBJVFGBE zv{4$P$JUy-dQRtK6mY_5K1o5tHhOde@zZ(@$6D#P(r$L_i_c7Kb?hzu8rmKk2hz8f zVvpVITon2?n$y`Km}BZCqMWebU^!K6I|b_Bvr9{&$98yh9qqC`*e8zvut)qRLue)gGf7$&Du} zRePKQJ`49pGI$_puZndwreQpiI#v}`$q9{HG&JM)T7;a2_LlUBf^yn&TTqvi`#X}4lU^h z*`;041{-(1*A$BCW-(fL8XEM93tJ~k9@{nQxuo+`pa~*|AP8WA{hAobWJ3}AuwIAKLub1yaFEzhw}126c7g0 zhdjQxI$5(RXAG*}a!RV%0SZ`>&1oM*4^fa6?xSLO@ImykB7(2=2DLxUPUk4lFx_@``a%(65L#w-Ixjs2Mpf`Z`-+VH z`Qq8+qU5k+N5brMiHw9Tw!17j?6@F=-8W>Ucd^}flEY3t5wi^$^);Y z3j6l6)6a|St!3YKb}HefD34IQ9B|YtW_pkhg~&V7wbs4B{wAx2eY<{%)>12?Yu8#Z z`%qt8HygKA9)0w?PFwBlUv@xzYa+g-zn;v2sMFRadsXYGje@;3`Wueeh0ucg{xmyn z^dRAK+O89$yS1$moSrVQ$4!}taN*mCcmdGu;x;;FCo(SBcuT_Ul*hx_NnGLs6aUL+ zC*0?`1$tzqm;tuY9)g&TZY2(2o!R^)doHG{&<}Cgz=nso+$yx+ZkL+<{MR1*jtIUI zPVsKbokR`bzu;_#`!WzPIrA6(WAUy4-geU*&3c*1@1BS}Cciy_n*8wQAW@Uw7#rWT z?UjIyvRx}0wSCYdEm;4iF=xL^u>MVB&Xh|=TVu`v#Trc?1$Kyx1?50m5kE!&R*pSs z%$cSDOW0*r#7|PKzP$J}m_y^Wc365i)GLq&?FhNe7%?L`?6@Mv%K3RR(y@3fIZF8; z)=6B_W6XJx%nU48C*iD2ax{)u5zmr0u%#{Dt$I3-OOH`OOT1}&os4v%WiHwXxcv$0 zVV%a1H^oQ?T5`J;@mq`R-_GpYjXCcwu)oRP3;SipoDYiV+O?KW`;htptcaDpar<~d z^qqFvxmY%yiTIWqb3RS>G3J~Fqdu|~@i|)LE8;IaNKs;6idkaqY6K4w7uX-P3lZVM zn(nkqZr81vz>4@Xx!9|0uy0a4+63YOW5iQzmKTgUn4PG{4;1>C#Ny0ngMRygdZ>Bt z9al4cB=V_g^E?L${AQ!;;~keCn+LO_rn9f|)d+wV+ua;z+pJr62;ytQxYt4fg7BM0 z9gkRzh%Uxch$Y^QL>)Q&tq;bxggzE|+la_?iCmKluigdT?30`M-EWDCH%U6L&T?^Ud=1>hcX zz5tx00CiF<0QXX``~q;FB1AV_W&yZg`e+9jJRc&rSpYsPIqYHqc!1ny0eDDq*u?_y zQF5EX{c*`*7Yo2?GKzD#1>lp?r*ux+Q-yu|!T9M#_D5RwZ3p9-MfT5S_U#7a7Z%vx zWJklkU0cM|eXNMC{a`#xeYOCc^XQ8O;Bn_-0r+~vx7=X-MzW8=_ypKnV_E>7q(!~} zeA|N*3&3~8Y~bw&@~Q*Ku*06!#W3&4+3JZxDgs?*ZbFByLe24nnA zG4#kv;|TtPk9pD>|LTJbi$ z=kcQF1sSCNShtH2pr((!^BD*QalQcj+U;=+%#Xk$eU~Y~zhYGRhL}bbJQE3RpC|W< zhc0$w-;0sFNX-vq%xeB^4!p@tURT0Wjoz?LH44CdMFZP_dEx-hlr?7eTX~JteWkNd z*R7Mt1r5R??cKz6AdhX>dLf{ux!LnlQ*aaxq$um5KqbD%R=agP&>6QiR2T1D;3YCK z635IS_|cJ_}00^>^-%M& z5F-0j2=)>3Ga|0^crD{;iWut1*cYz%l|Kf7FGF99*XJo{jn`kfeQQ*>Kml5Xx*;Br zUnE1IWnhn80wP^Q>3QpA=i({lx6XVvgJ+0WoYdla><1^V@S*$3Nl%4(%$)EexD(Qr z>hiPBz#JX%!WASexBmHRbMZ+7)K#kWICPTj4G*y?!1JSl=5`khQGnl*8T79Y;w4}T z(8l}xtA}{ciUMq~YxC9rw~dQYs0*omOg}4|_|0VYij5S+$8^yyu5%oW z=e-TbzS0;LS^)5ap1S0)TDCYYDYrBM#fdiAm`vV836xCiL{Z0!X zaID2Ok$sK>+8sCSLB~N|V#iCwMEWf$=7$0`c+_nwa9~W@hXV(<%FzKL{Z0rUajeB_ zC5IdbN|Vw)>Nu#Ms=)8T5b4+33clG9f||FLx=n|mKed%7JcgD2j34d&DHq_h@GL41 zf~O0?1s6P12(Gx`xk7+z$eKwC!H^4HEChO>*07ff!B)4JD+CiRc&!lVcMBT!Mj_B> z(6BcPfxfbccY6!Lw8!yIA((N&dxc=u1s@cGlP>tM5S((s$A#dm3qC0X7hLdZA-Lj# z&k8|_dwhJdwh#=t;LAcV=7O&Z!B!VsECjkbfK_-Q*yR@A6oN??d{+pjT=2aMFmz0_ zA2#d<7oh9TxZp<@@P>p7esTehnooM&nhVezrajWqTD4CIW?ax&2xeVSEd(bi7_k}! zt@&mEh~(hD&KT6V5l(gX!w0L$SX9=q=0)MH5n>+jRa?W>x&YZa<%u43L95A*6@qB8 z8w)`+*+wBKd7W)81Vb*^S_sBmFkT3@y5QzQFyVr2g?s6iT`*Y)F1TQCA-Lj#eTAUpmAJnU47p&c5RAFt zKq1)bfox!`ain0CRDLNMcknL;q@g69jtNeV{nCtZbFF4@XkR0uEw)|3Pum-^MpIp8;rFH@ zM+6+(hwUVg9TBg$VL|$qD`O*%FMW$6B{h48NF^UB;DdCb)g*!s6A+hA*eL~GE@4&s zNUQb}H4v70g6ksE?+_~Xr(8Dl0H~ics z*}37DF3HXfzf!E}oB|g)$(Y@0=^@S~3i5Nq%M>hsZuqSt#A}3Zg}eg`-3(S5iUMA z-0pV8x#8{P?A&liibuyq)3!6>!RJf;Z_&BoozNpI4Kzgb;$5_6&LG2xu{*Gj+e}fW6Cy3d>m$)A%J7^@xE#42M0brSfucxU-Ei1h^D0xQl zp?I3lGW@tbM*-X+Px$M!7u+DyU$&!UB-e+IioGa%mL}4Ni>sk7HUGr;>NZOOGBn_8 zqMFT7z+=be|4xgBy(S9^xU$2b{yGJzh;Ubx$O7igq+UDW=K3Ni@_SNRxb|7{t)%ri z^c^BUiSN8ivWf44OR|aY zl45O5d|#8%*ouko8w&D??>h>XpZLC4gq%>?-(L7p`ZS?nLL;}C_)K!x#l$yHM#2_P zeC1KfVHXo$C%MhUSCt%gG4b`1|9>XF0qIjZr){XPZ$I&^USvPgvTr-_tzBe4n%TFT z_{J94-(=T>eY<{uW5Vl-=-Raw9R5?EO?;a@`eNeS;#^F8H$;5PO?>0YJ|?~!!QL9v z#CHoVP=Uq7cdG{}CcX(Vn%*)K-}VLe2krKVaPh=3$uQ6h3=_%wv+o#|t zf+37aShhbX^VBf{uF9?q& zydpf7a9TK5zDCfp@_JK?18-Go!Z_Z>MV@sQ&K$G$kBJ(Y~d zWc*RWtw8K_h*+MW{uTI>6c}n0_8DTTs)l`#3+^fevo5&15S(Q;&R^w0%Zn zrft6Q^OCsg_Bqu|i8sCx`y%Z1I1|4BCp{9A^yhOuzFby>FEL5@J@s6V-%}?-QNvyn zTdhk(u7~bH(hu5YB0Gb+LXUj|rX7^%Ip4_`*gQc=*}j)~Yq9V{3Jxt?{}`yGBEA9M3ZE1akJt=LO*b3X3w5O!)UZ|}m?X0xD3$?YRy&&yCuEmWR zA{5%0kJzeQTesCItd9dDwq~JzZK2n&fDd2hdOVILF8}uJHBuv=LrB4>Z3HqYc*6YW zKbQECmj(?`qPU`=4?ZOJ4?fJeo-gmCN)e#THZuSKKX?Sj7h<ivJSgAGX_oh`G_+#zLL5?a4uW{2;M^{9wlQxq}_y zpymz^+D;01j)TdJz3N)KQxe<^(L?+`yGuceEZ$9IE9_JX?g>mqm^fuooTp%qqT^YF zig1NZrub)-#l1jg@h3(9K#D$o6g;v2n)8f_89lOq;P@Rm1_1P>3_hgjDS$#5oRTDE zaMTWf;jAyUi#|J~ND$#>#ED;Ek0^S%!kM#aV%BOBr!0%}EI%3Hi!2|O0P*iagu`|O z$Sl9EEI*T?k6$TI?7vbzW8yr^&oKb9+@G@i0tMW+S*bLEa$&6=l`Lht&yFb&lCWJ_ zoF$@R>lc~l>^L#YV&arVah}E3BYb4B&rV2y`1dLPlM$gh2Hs=_BD46M@ua$9#onO- zM158Kr)uxY9=Y;0*08-ewtm(6e1T&!H3Dg7{d43NA3Xg z0Ds&OL-*;35W_>MH0Fi&i5o>%7`0Eq3LPT|eo!Zc;&d=)=K@o2NSw+|oR`}d41jVk zn#OqvkYwJvnzIWj!sy_MQwJC45nhT2iw=I7f(0G?8%l~_vg@;N6$CCf!ezy-5K{-o z55obGx2&puqya=xRX@odE?|bnY;NB;tpb^s64ey_H*xB};ynH34Tu~CQl!6|0#84@ zvME<7$pgZW z7`l%3U(L9U)~vhcb}lF9>~;!}!PI#Zr_L*Gl`3ATmOm8Y7`*h_P9jfinpH0N@oXa^ z>}5ARXm?4E7Mk_t-IVdrUHj5eyBiGStXe^za z8Fh^SUAC7204tlZR@f&2l;0}N`-yPJOM>|N$3sB;g9VD0X&-hPLI&!TRP2#3uVLwk z2PTIC^+=*(j}lR$ea*d$uVRl=fXj2e?LO6mPjf`@q4{@w5uNYq_t{fW(=GnW_OxtK z*_{4x#C0SwZ}K52&qQ49euS^%uWUwfv9aND=-&u&M$4vzyuRQ(gbxs*AkjKPFbI?D zF%gtXHzte0j$fjj3X5OjdCTS!)AYA)u^9o-;!Airh%P(89luhO|7#cg3NF;*$DKEI z{E7x>K@TPa#(+A(w?-HPldQ^Y*z@Ev(2L*&B7*8gJ>>By7(o#LNB=Jfkt5|vDW)Dd zQl6Az2^y^wCuSZyOQpZ|D1O;Wu?#kK{E`Mru>`+V3`lX|^Ow>78g|T+%$)}N#7jgh z3W}Eulrt&uufMXnA`7Y}A`a<`Y7*n;q>E|_gZ`qL!lJ*ZCJFLtk|3+5#6>kpkX4g7 zuck04s!5zx(`%mRR86lFSxq{>`zw2+$fK%>h#V_RRg(l+H6<>pNrJ4J z#CbJ^L8SNvB>^5=)%2z(*{kWl*hwP#Ei#2q=>+514SEMm{z`h(ClZJ}{f(P%QY+|X zD^TzTx(1qwdXog3Ff5_3s5gZLN;P_u1iwOO*%FzSU<(37Z%W+p>u8%2{2DHzH;I4Q z@oO5WZH573K--K=D9Jz^=e+HC_G-dcY=AKB(>TfDh*t53o7psGC9;S*{)@feDj^&z z273u1$A2X~41M%?!Of#YRLKe-C8A1};QCg66Bo@=f?u`rEB<9RdW1pbxA6HZK6FE( zabMgs%%PcC_>hR9B~`K*eKS=u*|VTZmO86sabC$`(5mFHXjQTVc_mAbRdV8@k|oG0 zS)5mL7!;K(MyaPff4nfyr(1bewTV5?sy1>~ZBpmeCP7|p5@gkuxTrP>vT76O)fNUt zwTT<3S5yrus$pk53*JuglhDLsIKit|Vq6bLqsM0JGa|oZsNFdZ**=E=nq^i+U(y`W zbu@oK$Hbifm78ZPl8ZFK5~A(LS*mu4YOYY4|C#BXv&#~oUBzx8aoR12^EJx1;h@+$ zUZDWB(q9}0d@l*|r5pY$>_-J*F0Z1~QTrJJZyp^hL-_W$h39)VzCve(Ll$^Myx z5dLWCe@ONy)hg|Op?uE9BtWubZ;&|c4a9k}H->{E*$oO<+S%UVddXS|-=aY9*!+9^ z2jzVO1Pc>>qfD6a#SidR-ZxXNgeyaHwoL*gJoe6s)AC!)g!if+RBVC)5Le$A{?lu> zd4zr1t~_J6M|8!`xpb}F;U>{)hV4!;!Zzl&E&7lEgjl}Qno(m8!!G(RVzz-vjN!49 z8yGRuhw)Pz7zuhYMZf}mvAnRk4 z2B@a7iEoL=Qb`>~Ea0aDpEB$8&Ec5K8n8lsJAYjSO4gzV+CnoVTN(#y+9xI^(gT_7!ZXzYVsG1{S+k%Xfu32};$I2D;VPl5ykS&`)yN`gm` z+Vq?qOD@Wu%fy(jluL2$LIULy6C7JbZXp*Q1zeyGSdg>HMW?$+jHyK~#JLLzyxro-6IJG`;?m`013(@*=3%T$p;6kmh zYM;^to5psP!daq5zGxcfC_pLjlRW;lUPPlmgu-0=`JyByPDvE!Nt7T@Vs4=%dK4*% zbM|F&5gjCP>LB9Wg#>CE(Lr(xx$r39B09)dbb(BkxR&2&7l>#JcwWui&e^3!Nl2WM zAkLE@L7s%%LP_u_QWCKCPA+1|PMn5paqdC_jh8WG=N59|QNV?UY9pA+6^^gfjf*&2!N0KFaSjQ2>G1Vh^Vi|kPo4W zHw|^5uXnpXFFP6FI&=ptG=xeJ7AiZB0%eCM@q8>XSLX2Iu#A;4=KEg9eqAKMCs-q@8cGf6zAq3N#q*YD3r0rOdZmxHiM8*n z8>r`_Xt)5#Es(W8MHHx&G3FHejd0P=oF2FPlgEa8OpKC}M{({^0u9CxOjcDMsa6eJw>&=J_`Y8%H?Ys-b&vX%44-<%@VUIWtq_>nE zSC%HFeblj6ZzMH6I&;ectob? zqn`?Ah)i+wC?5z_?0E{<>ze1gBsdxY`X>-&kG%-QKbF~Wy+mV;fM>p6GC+>noCnTE zz}FanX+;5IKzg0X5inM0iPH*A+^W%+Jb*?(w0PENZh?qjjVRf(ffxZ#cpB8x>vl36 z#u)Nepx)pp+uKAW&PTMez2odJq@Xa~1tVVE3B9l+wD! zXm%DULzDP|25RQdbxLqvAuw>W()QU`3PD>KUksfRI%1cIh+V~9v9F05SfjxH%u4Y; z^zX|lurFAS+qYrgSmQlB@uoE$NJ_WsTkT=i1!xK#uuywYh_HaKKSh*C&>A2n+4CCCdnw@~gq zidF&Nm|R2wCr$+{&Rs~L4P6v)ZXp*QMJnJqyCu08^*T(vY1HdboV$=fbvWvEm|Mt& zM*$b3EU1dzN*AcGny=$0fULvqs>9o;2meqN7*=*9^LBN) z(RLQWmkvs(vRzbXRhBqanK;j^1bLO^7Rszg(Wmy0UPE#$(Z zXjR!g$wgFI;#6hg+=T>c6;Wlmg%CQoa~Be*Rjl_`kz2@x zM*$b>foK(zbir0p#eYWaejxsl%~cOX8u~DrqvrP!^QmipM9}Y3*F%bcEd`N396C*1 zIC>>=t{OvBBlZXp?MX8k4q|1Tb{}PX)VX+n>M=0F#lmr#TDH*U>zv=QM052rD~H20 z*Npws(w$L{9f`n*3A@gjWIP1K0*=UJFL@bFCGrB*_*efJ{!_D~L~fx@Bk;H#lNK9F z?eMy6mW+-z#Kj>_=!m_z&@l?cN3mab9xaVaeZoTzX|I8u$eYgbes0-LI>+6kIeUwY zZ4Xv^+I}WZ+fOkY3{K?X0JkFuSd_>yHq2!Y4w;mtscdB1C(GTZWzEqtA*SG zE?bFxwZnb^^EZc`f{Em)V0e&UoBXSMAp2gQ?r^)!b z@Zgefy-9sW!HdE_OT^EZc-{2dIWo8PM_}D+U%0woSFp==o`?pA@~03Yr|{AUkvP@2IInLB_`opLcW$Bj_9$BQeJ@=gbt^d}blDyv%b6vIPy0)Y za{Vo|IDa7WtA^}4rC00$axo(Qv0%>-?)g*C^xiyA`-O*6nsW)acj%;yPls=;RqP8pQGmBCpz7(f&$gSiDV_@{^>Ww35f z(M7Al9wufD_6WJvU}uO$gYC8F$!xHDkl=AUNwpNS9eK`&N4?v z<*Jwd?*C)&y~Coq-Y?!WGt5u~L`I6nf?_WS3{6F21AB=Iwpeh)7HkN1BQg$%iX{`k z7>(GCT~RS=?AT(Ay+)%ViZwP6fem-Vs{PIOCuPNU2vEEuV3qEkpTfq})-v;f z-}tMw7FzN5(`0Ck-;OM23``2YGiD#~sp7A=Y>0hd)-Fc~&MB7A6yK8z;Cyo)^(=lM zL;S6XvR+tS{D?8vhf8Yt-|=4~j_v=9xF5<2aBP2%xPMn*lj}aN;-3-s^y41rWamsT zelEj*opr|YESBxDU-2th@UKDj?&B^x%0V@$xZq>>*C=4D``0KaW&!&j3*e7t*24Ne z{yhjxDpoT5*9~4L<9}}Ob~60e4c@UV#_w$@FHew5u`?1lka{IH|L0>6T)`D(ImQY0 zj&F$n6_=f##bxb(PXYMWg1cM*=cnvrkwt&Ue|;>%_J2-5dRYPASpN92$iFLa0ycbH z1$IF`KVj@vmYaan$-#>E2xR!zaI`7*U@OK$8d~w|s%0n#+{a0~j*S1F(^eG!75{ZW zjQ>608ps9y8E}ob{6FjS{%3uh!~cr^8gPvNIo_4UO#FMm{ksB(wZ5zZ^9J@GXJ}rr zpWFoI30>J79w0+`yz=}x6gQJ0BIPjZU5bMd!qhAIvg}<2QotmP$D!JN`mG=^PvS$GPDp{1TBV^K;J+XNd7U#6etx+gO)l3cf;K~2psmn0Xgjn6+6nDaWvF(m_Q36hGNFCY zPtbno0CW)g89D?VhK@i-p<~c-=meCdI;lE^e@{baptGu9ROj&Tuh4nuH=L_WI9E4R zH&wR~--doi?hoX0RF71T5$8frkb92Y8`WFYJH&ZVKJ*^>LgeMo^A+K})FL&cQK6;C ziqxu5f!|mwYaG#59&&;zu+^E=v&NM*RnS%yss>eOs|Q(wtVw#3waD6J9kMQ2kE~BN zARCg6$i}1>*@W~aeMn!@K>CsXWB?gR29Zt4W@K|Rm~26|BtIuxk*&!#WLvTw8A67V z?a2;gN3s*yne0M#CA*Q`$sXhvWKXge*_#X_!^u8mU$P(BpBzAbNe(0jk%P%0WCS^s zG?K%}NOCwif*eVXB1e;7kx}Frax6KH98XRlqsfV63>iyKA}5nm$f@KsaymJKoJoF7 z&LZQ;*%(jpbS82RX+|~yN@O&bOd{uTOeS+oT2S#Vl){!&GL7xa*q)BIRnTg-tRdI3 zeFNLKqHPlXa#>8)Q7s!j`C9dTPd5xLt1_RPoSsJGw3<=0(uGk$?8|+YcBJS%M_vwx6YzsNI)g5 zC?yq*yteQgZ;R9#dHrcM@(L}7*dB6#9HH{8aw02`&ZM5Khzb`vSJI7i*T}J7nXJN0 zRk9jco%tH1Co{Fk+GHK(>yZtZX-GCA8#CX8^kK%AG?0GG2arL`G$osn&6#gOe$GrQ zvNhR;`F3O|GwsO^WJl&ZlUPWEBGA31=TFUf)AAm)dVLzyv> z!^lYHN06hK8BKmgMlnB@9M8-IGMb#od@MPcnJMH{avJk9$gi21MaGe{nKzMUW)jFm zaxR%f&LiiO3&>=0A-RZaSVCHu`IbzhUt4bVpD zM`#l(HiXxJGq10iRxW+8RTwq54o4jB=?a&k^9L57k~~G8CeM&($zRBGJV=|X~LOvy*kmX5SWYy;Usc2GIU9&&&jq4KP9A}f&2 z$m;1Tk}il{Avee!ssvSrK7*=2RiSE7b;tv%0o8;&p;}OFuB8rKUAlT!awcs^-w4^p zbY5f=(wp=leNkbc^CSHc2S9<0g2<+1GqO3_g6UeowdA&1!?j_qE!mC?Aw$vD9_j#f zggPpl=vi;J#&L8o3Pd_iR}Xw}S2mxRrG2aI2uz&>GgSXMO{@5!oN1O^h~^Tdd?g zbQiggJjDEA)E%Ka3U>@T4xQjSPceTQ@fqkWqhH8#h<}C7L%%^6po`EY=rVK#x(Z!` zu0uDVo6s%jHuO7m2f7RW0o{Y{Ll2;A=pmE?J%S!XxzH2nDfA3_4!wY0LVrT9px4kF z=q>aP%7gNu_fP@!0V;%wpkhey82PSM5xy0M-cf6DHPcyjZU%x3Yv>IZ#(X&02XSAzeq?`g0Qn`_2GR{82a`j{2y!TC zMBOmDNVws2Bj83tqZo}Qzapc^G2~cOjH4S5Hvx)fG?9!!97{I|ZZh2zaw<6u+39pM z;AYZ&4L1vlgJwhVkclmG;LK10l*r6nxFl#EG@qFTaLLd@Xc04u;g&$(Ko(}cg-fAJ zCDX{I$bJVcWAr`Ta=I08KR_#?be@4V%&$efj&41<0r5uYM`#l>o8h)VTcK^xc4l{w zJIP(hX3*^>_mF#$&4l(b`ib069v}~*?Pur^bQn4U9fgju^*G!KC<{6Xoq|q7XP~pt zFRVHT_bYUs(Qo7h@*;T&ZI_`d&{gOfbRD_@-GpvIx1rymJJ4O|59l6rA9?^~Ll2=G z=n?doYtDsx0zGB)jC_vx1>H-yKcQF9Yi8cSy@lREdCcU)y{9XH`#@I+R|FOF43#p6 zchrmUg{~qsq=Bp;Eu@32AsfgRvV+P&_K*YQ2$hGNpbC&Pq=za(E|4qa2Dw9(pvur^ zP!*^uR1K;Qc|bLwnvf?{3#tv(f$Bo_bbPMR$@#Mp;>L7da82mE;e6I!v(xHJiiRdK6GO(5lgP>B6mlv#4b{`>X6ST9@rX>&9LNkMK#6RfOC}+n2hE2TK*`K5 zgj)nHX0(L-hP061qAi6k6)p{03VjDHgT9BBvvmde1Gy5}bh=e=tD!Z}T4)`#9@+qH zgnnezCUP_4Eznj*+u*j-?I3rOyO7O*b~D;T?jVvMt#T)ge$Q)Sj6R zWJj_S*_rHuimr6s$nInhWWS*6N%lhAn=XtDN8AVM3-yEgLj!n}gUASS7&*dPKFyCI zCz4aiSy(2HYnu%h51AOvfipu1P$D#!*(7ov;`ww7$YjI|=@yZT$tB2sLuY~e7D|Cq zp)~H%GI9mtAE1@on|0)7#9O%JR=90++u?R_i43^i%Hu*bw zhrCPvLEahbk)e}qzAG!=xV}w($#{iO;?AkOX8Pr7U6e8 z;g}l0HKc1qHYUB0Z9?Y_=R@a98W8)@`I7-;AhJPFQ%23;n$rc7Ey$MS=V)t1*P3jD zxGh~fxDY55YR^muvLoV7P-jM6;JVUvBfBH+LH7k*PpB88-f&@b;bb4geW8Ag`oj%? zzGO6z97GN#hmaBEP|}F%VRVt?aB>7W5^baCM#FtY7X>$lZYuE}{E|w26C*>b~C^`*yhPkukFU&=p2k;jTf~8Qp-p3EhHj zL%%b7hrCPvLEb~#eYyu^Hu;duLE9s`$8foHPvD-?J%f8r_X6%E-Jfu;=w8FUp?eGW zjxLYPNBkZtVDtg55GrC+ObWy$bfs|oCR35h7Eeo%##YWTR&ZKK$H>@NPL_s{~gW`ixN(xTLw%sWP(P?Y zGywV%8VC(y2QotmP$D!JN`mG=^PvS$GPDp{1TBV^ zK;J+X=vycSN`=y(rOCnhv<_MiZGbjHKk^7Rk(E4qCah4TqxO| z>_B!zMJK2;)P^U!%d`%fs3V^1UH#(3fxq> zY2&Xq|M)F5;6S)~{+yZT7 zw2j=3cn7o-+684myP-YMUMLgV2mJ)?=Mo3VgNT2oJ47BPk05)L?ik#0=meuI@+5hR zJWZY<&yv58=g42l^W<;j1@a6g=uhYs^cs2ty@lR!sXQ{Dd`}jTAIL(oh%6=r zSwfbQ_%=JPVf;)xs4j=u5VC@_kPfnjY#>`!*uj;fvnL%8J3{3lC#VAC4C$eYkPGAr zxk2twC8#p=8B_(T3RUBps>6BE)qtxBc|x_Asa;OKH&&0nKG^_m4Vm>~+=TQ-)`wX? z#{P%{=mN7mRx%?nT#| z3?su?(T~1AIRJHE(hYY1TK-pcpl>U&;mxua0}@c!7Zj+ zBLDh#Q5xcW~Li!(LudHAzph7Fio@b?EBa%Te8cz9F)W z=o*t=WD{h)>3mr0NAHhp09_y%L^egX8C`SMwxs_Y*;aI|$u?wLWZTh&u(ku@j*L5z zoyji9c7?jhUo=?M8!n9baIz2LzHAu;H<-C0WCS^sJu(JuV;PTw8&5aEURN}k+nt8o zbmnGoP4V<5`Xq7@nL>V#>gB9hLH@w(T5=QGHbYz3vX$J%mfhrjv>jmfAl%Q)9VgEq zKFgM07+)l>BYOk73EhHjL%*}?4%}Vn4@URM`{V;;v$^yW#!q>SFX&&Af1=_Q^qSEd z@-5vX-nE6TMn{^92|5- zdi+}v|5j$}XJi$!Dp?Kf)gce422>OBgla*xp*pOpOV%UnlMTp*sAxpjnDio>AnWZQ z$4vm^K*T{%Q>Yo#oY`Qq1>%;_=TIxCHPnVJZOL|sL+C=u_J}*sb%g5#b%wey(-p_r zi>^1f-XARkpf8ylNDd+glS9xJK{u53BgwJIj)TUtWda#ZP9$T{7E3pY^)twLaxU7E zpm}Vc54V6WnOw-4Z^>n3I=LQo8(6Us?nk;!aGUA2z-@)LLEE7n&`!4OA~VR{?GR2+tmKt~ItL~^Ns)@*x74_j7FyD}DL^dY9$R?yW>U`*Y;&I#%XE*%rMKMA-o;uD+2@$Q& zW(?h^X z2~WRRD^Kq%t?&%Ks__iU(IAtj@$|l`MkYt`49ZiG(W*SXT~s1IZbcho{;_rQsVvbhv6~_HENi# zL5+>9u|bVAT3ggGV~ZMQ>`-GTYwS=XjkX+Wm??)EX6#X8FKg^kBaPMpHOx4mh8aiH zILaDF)JUT(j~ZsmqsCEK%vvYQTpK5$*XdqmPYZu3yH0By7tX^`Oz1U%A)+!JGOGlJ zh}v}6tQOx+T{`n%gd7{PQ_!zsisHHNG`dsVPhpoW<@sA1+cYF^2j z*Qk-k{0cS9yh6<@IkaA3XubMmXblbLRZwKgFyrg^hqT2QTIhtsT7jV@1ZJNSO{Td- zm@>7cntf)R6m*H_!6}8pbH{1nx%-AdCKtV00JGx;Iy|=onSv6}gEpmdqea+gk=$re zc64~5kRvQ3KCIP0W3247-FFf9-Ls$W`kyhDg;Oohw0Q0QuQ8TW>bVjFK#q*R#@K$0 zv9f`LF=kQcml_wUb)syZJ*E+MIyukA#|zEzb&BbD3NE7am`BgY!u%Ggn0^aWgz036 zqB-RcbE>wYIqd>-TF$eW)yw8tPSl>-NM((ch*dnTvQ%p{;;PD1lcQRr7I`X9^;Kn! zO5`Y>sytCfIp$=9LpHXI`_7nCbc=)AAOlz=)rlSk>n5%j)B_ES$5K3U!IBu)N0} zT2ccQy|qxRTo!2#X>b(kIGc?4H?4%}kV!ENzN?6gl`j>;xKb5PT&@Z=Dq;BJu98vx zr6Ob+r&1-0Ri6~^W3l>^;)7+y>Q9O>`(VwQPl|WvYUG+VpA_$7vDGKV2g{1BJ}KUj ztHqkNpA_%T#mGHm(tc9BkHxxAiVv0*>pm&ok!y`LTYpl#JJ(vS+4_^>eJr;5r1&6; zEhdc(E&v;WE5HU9K!M1f68`jP8{D$rv@#mQ)wt1@or#QF`yf3#%uDS4ki?PqLxbTzW9c9HI{7<3?zW%<;efJ1g zAxDbs*}td3kN4B8!6W5!lqTjhBM)yCs)usiqLdxz`?wTlWSP4=ot} zPKF_W{k^fG)>*7y_WH1KevDRRC(S9+=T%h1Q?tuaO-LQwD??lr zQ)mEswSA~kQ`ZBct&ny&4 zcKWKaIrh0?%qE3OuWeD+TPRG?DG7eK|YbStq)sYQnK3R;Z46eKXU9!LPDhtAu?N zyUYOzkH&|_i1jhLsgFj5juz`j>%Mw0z0C}YAFG6F=szm7M zvMSMLMp+e}6RJ)~c)mJUtbcg+Ubo_&1tR=i|5t;a56u$HXhv#PfjY%q z7$%)oypoLNgsy?bB}i>NCA4abR#6+@3Ve;JyU}c0Sr~LpRc8}SW}#EeI?Fn3v9M&h zC|)b^z;Lo;!fI1kq)HfPYuz(YCvO3cXA`{=#O#h0Hd^Mm;W;5Ou=PyWj3n`{)%rw- zlg2sXy4p0yTFJgFtV%5J-jz2#5f2s1ZmaT^6QZJW=-XtgGlzv`PF>}7reTrDYNZJe zQ5mDeZ_W;D^}4AzrxWoIIH$f!WXy?arGFozh}j{=WKZm)FeP#yHwf!u%PBYIPzr8R zlS*cXx*Qi-eaxnuMTP|NR`E^yAx)DYtQE7hzK*U~=tEtVU8y*n$0e4#eoCNDs8oU0 zrOMF}c=B|0vZ&ve$6eS>vAF5*++vrn=u_2dvFjUss*M`AQNyCWO4al?7Ll=VY%Bd_ z0}eT_zoNf34-Z0;}oW80uPFPO9EB!8RMZCybXgQHr`rT}?A}%Z0(k{PL zREl2_7lN#KU;3R1*+n8FKU8%sH6u@is0@=rRT+h%y=qs=-V{8}S*y1#%dY&s2v@=E zj$Vs2;ixfA{moI;S!CEfYHe|GSBnozw4q+^#t^YrS#l$r;1HxZHPGs>oJ%|w{AUZW+jm^wKf*7g~ez3+kUz@M*NV_VPgF--KYms z+e{Oyr>Unu_^M5mSRJJvQyViWW>HJ*@$w6`!s`c%YoKEC7mi8|NByb1Qt{pFs-~OC z?2Y@bUa2|xA|p0jsS$6OB+AZ>i$=(EBS)FY{_3|^_Ly|V@-cE(9}N+q!^$=*+Dt3k ztY{NewplqXhpanXX@V%5dC$HQWi#)sd!lUS9sNp-eXgkXCj}%4-+5m1O_8`?1nNAL zF$**8L%fiJgu|BxzG&6X&Jc%PmJhetH?oSvECe>a4Vr_ zqQLK{#_jmXXTs>NbzdHZChq9}`@HdBjBSM6)lg%3JB&WZGrunLFSio5|+o1hI=lK;hxhb zv(Sd*+@IafpcTojTaTVuIb#|Iq#>`J$`~WUG@88*YTQOKA87{3fi&joz>P_v&60)D z?V4KeYON9afvy^dbkkmutSTE^B0g0Pu8U7FRhsj59hdtpnYQ|u*`XGn3Lynl;PJ@l&aMp2HXG|4k!`e7i`2Te{L(OID#<9!ketnE6o9@?- z7G=}@>KQ^kQ=T?CutTykr%uql6E$DedEP0v+e6Xwp5optDPW%1mXxWjpcw6OotpOA zsyEHS9Yh{|9kclEs5V5KZgj*w&Xk#?x?~oe5>}5_$2=G&+KgH~NuUC3rk(RxW3Wzb zB`g)KHD?xQ%n|Q27W`~;RvenHXe@a-vxIihrIb*&))vt-&2$1MJPYp{X+o?OO?%;n zHzb$gRkb((vss$w%4^r`7iS8@kGgds#@swb>`ebL^km|?5Mg}dqSdEhu$d$Ex>h=i zl^9moaf!ver@b&FUQrBMjHr;=8QLs$@*;84?WpBa8n%V)oODw@xQe~sddBTm)|3~g zN;V}LO*Xh&{q|Xko6<8yXhQHlfh)RhSmE9j&$xApsNY_%9aiYFNNh?qhqN)PLO-5@ zdq;(w0_9XB~OVD<}DuhVGpRRfwmp)3!AtOhOkcDy&u$~Y%eL_|vY|C3C>*QP9BjgJS zm?O&~j~Ww&&dCy=SDNu&gej`_#ue7VLi8zdOI~Em71x8k<{F3Wtt@=!)@W~>b;@1L zbT=wCmGymuyOP;AEG*C<42Dd7`SKYfM6RM=*f-3ASI`E%>Fq21bx~Kz$bO7_wQy9o z{K1lDqZWsjTHG}1mKLGE-d4$YoQ*xao~R65Wa)z+!jS)1tHr=Y`u6Wjk#SQp-k(xc z#cgz=o66Q?m@M2>nbsHO{(LSqK;XH5au}C3IEBY%)e+&AVjNbeNA#dZDXaVPlQZ>``KG$*K^U6&G=Z%yiGLC~O{CY!s{P4`T1jte<69 zVNNLPDq*xKZ)53GT@iu3!oo5Q27?H!hLasxiW6tuE6id-Mz1M(B@aMk{F#T7jWcL) ze6Lv2G-~lfnjWXSnMGKxc2^9K4`Y%EOH^(qV{B+u@*hkxHX%SJ;5+8aLv#H{Ye>PHctS`UQ={!Za885t6xfEk_;R zmVXuNbU!x_cdPg~i}r#>tVmv{&2U5~XfhW%wm6j$EBYwwa_o)x;NXyBzm0hImACZ^ z8aYpiCCU0Uf2>P{dSoQzCXXW=7Y!1dnekF6L;I>#Mw-aL>fe`o{UEZ3 zA9^lxcnCbCWW-~hSGCW6xvLm2#59iCPx}<(r1Y})O3a?4eJYIECzV|Z4#zN%0+bc= z3<2T-2KGYjrWDaEVN=5Lp{sPF%7YrZ?B#n)FeKd7XK+yB0^U7$X^m&mWq);xJO(%X z#lo@~5`Tk)?=8z$`63N)^OD9(QCoB!Zea4%>h+2BoP{NEb!Cgz*bq~0+kJYQ^MQB` zvM|v7ew7?y|HSFVxuF+^iyNbVAKT@1k37-$!K8#7DO+eB$iHF{&l1K-Z>)ZN$`sWLl+MhOGhssYya9QPq=@m zBF;r$m?W-D!{>bE@zkVs^bCT6rSaA}$&3>+PBMeHBec#k7iCM!t-C8gCtTROc)+*imV`b=Xl| zMVY~lO5?4=j_O=x20JQ^w+=h1bC((Hs5IU>?5M7?%wR{Q@zzyA20Io66ATj{*C4@I zguD5w5Mwc3H)%zFshrGJFNM!WuY^@0*|{RCq(-PkiE;+n^dlo>8( zZF!G#le0DkKzNv(wS}CvIq6|G#%s}*sX|WMa@NKxyOwEk*5*VlXKl>kT9ur&@roY* zV75cXMUk^MZa`Nt*X3cZ!?Z1DZCt|oYjW1cqrOfpXKj&zi~jyMmC|v)z_ctcYByZ0 zDY&rZgZ*=ZHSR=FlV_iq=`to+*yhZQ82KJ=UdfB~LaV5;!W^2Bifc6y$8OMOD%nvY z=S>EhP`oL1c1ZT4^>4(K=xpQlH!&}`N=#8?Q8*U1+n{ZPo z>n8MASvMK-MOimx$~OecZf@AIvYQ)LSax$0=%yu=Fg4;vUp6)JVaZ}P-xiL#vZ+zz z=EcY9wRl2{kE?+>QjcP1JZ!^a{Ag_;ogCphjBuD>7;ijdA!CIMOfZZ$_7E90GV&97 zt=j3neGWz)J|4pB8L`l8{~|ul{ysKgp94LC>2e=eN}j;uoi_3uwuO1u*)1E-WB8_l z!7))@af*G8(+g?1UU})M<+f#p+m;!*ZJo?;|71q)pN-7eVEZ;QBagvOX6%r$lNmc? z>}AFt8F{k>L~PT>;Q068^7Jd4RAg@`?oT|u7#_JRWkE!|S=5V+kE<7pt=Ag^GeMeB zFjHaV%}(QQcEaKse{BV1RS^qxI+ISOPH+7>) zi_xpk&$F(k%NUAxA!L;;K6t`XvPu|lXsz~a)aXQQ#S)uuy&vyGJ_u7X<(iG1b&B5X zkC)qj7hln;m&jt=LMP>0U(=x&t89&@FTFWLk#&OGK8sP)s`(ZSCn8 z61hk9Hao-s4>Z}C=9xse$OtJ=d)>2JC=A03)V}xhsUlyK5poSVG0$umehoQsfHj#| zVVqsUfe{62(emDbQ&-h3(Ufx)rStHXMF-s)ve#1FcR zTvt{00HMp5-7poOu-Iq4(dcU9SrjK}Kbi&F2kPE&@mNHdZN=XVGAisv>iC^=n51S05+{Y)-Dj59YUioW; zMbj+(aBCY&n0SoW%17nL)2kHQ4#~gjhvUN6hxJh*a}=Lk?^GO)3QLaGW`fC6C3a%r zRZ68_gg#PhBP}*@UvcSBBV9OjsE}TvL*O0^fO+ON32FCuRi?iQ%tFQ-;%T)94`%pu zNfU~}mWFH6%?*1vH)46D#hmapZb|JE_(s@Xdc zTF{_)*S$>-#opX)&soD6K|4VwYhv`eM_!_$)5l3>NNQk~++Fn89!2i1DEkO!uUV9R zsIz9Lu!(Srs2DjnLM({<_(6}+qBT++G%GK!7*q%mKtQ#^G$ z6>X^4n*RN@J@WH{JPjTU3qHFhB9)}4mPnnwkQHlm=vCX$Rq6Uk`5N&V?)dzq`1@;F zN~LF(9D(N{R>`wty-INi6%Of^{Cv%s*?6(0E5ND3S29>}5ogC5rxsPBLa5xos89B= zwF*<*t^}_Hc8kRv!UK}Gl0-hrj!;ZW>k3Chg>fjxuP(in&=*Wn432p5Xq=g)I+nO8 zL3kyaI#}a57+*_pRhe~KYw@D!Sc;*%uC=gCUR0_th?Q?qmMBKOjTPQWzN>g8IvH_O zIFEO8Ygps$*}El&QuLF=EPU{CQo(x#j})Jcn-UDxB1aN>ib|P(L)r=343BW2UX~O#j{m=lz#u7R_mmB7zjdh!OH#ENfLwqv3`# z-p`bqn2b#r+_KSVUADr1bzSyz@#tlROw9%?-t0t$w)*#&n!;`y5{-(+9miF+O5y2b zt+MsRMqQMUw=**prMRFfzSL+_O@6ac!b+l8=Ir6b5p^?ilzC(kg ziH?YgoY-WVD61VlPQ;EK77;UQ+*r|MVzjZzSHodqMn*?Q4D%Av6P3s*5o5-SC@eB2 zHfop{HL1yn*vN@7WyMjWh6*nfd3$^N2yb6+gSVfzzwi$54)hN4ZYq4deSCa;eGJ0K z&&S^`TOHw1BHK(f71Z(03Q+H8(;|V z3-A{K0Re#lK>*E}@j#-Y9FmpgXp}=>)Ff;> z8;9W`W@9(1K%&pMu`wOTjE@qLV2V`b9Eh_S=| z-P9&xmJIbvAbks>1c)5XJLh6l;qKYJK4 ztowLg5uYp`GFHTn`E>D+vBq)3MvWcuf3_7Zj5xqyI5rX8Hg;mnxG}vjPKHIci)%AB)T|yTr_T5s^W?@(9y<-D2yYIA);sG#Mr2qX3cPwPR3BFS6>YA zz(9)_>mi1OL`M(tm=sYQ6&v~28HvH!z&F+XUW z#Ffq}Ru-4eVt{{(m2?J-VT+X=f8$75SwTar2rE$+PYG7yixs4cZ6ur|Wv?# z;(uj__%ZnJpa0K$z$b8>!_L}0tMr{dZ|v#V70btY&ng{avhrEHeZcL)>iG>T>^$}2 z=WB)ce*R#bW#d$0?i0M+uYJoE+pKnH*7_x3hwCWqXE&Z5o?m^)tIy)%(snJ$Shsrf z(AH}n8*BJ&`O#r!rSEoJ_MJ7zx8RgXTv2{OEw27Ppd?2 zv){G2^)&5@&duFto-+4sHe<=>5hur9>$Eks>mmClbFGt-R^55K^xH4{9VqfYblmhy z)y`vzHFH#z8}De|$2MZ;NJmr4)#H~foqy)ucTdMS9USniVl7?NPmb2hnpbmi>VM+Y zZog*D&YzDsHucW!Qs2P7({kOKUEexn@sR#^GUFS4QE)o5(?TZmg|gZx?q?wPe7seRp&FU#MMa@}?Ij z*LKMZPwsKkWqR>Cd)1XpuhpLq>HPN9d*@cEkK9|`>3`sxK99^*+s5`zUf||gbNinI z+K9o^)-)QlzEZKrta-oJPsl#Fx6Y-jb00o=FGB2G7oM^Iy7Rv*{1IpeYw8~7|%yRyVwJgfDR zLr;5c^!4t!tXIieRe0#-^Fs@KzPaB!V|?{XlddOr%ih1CXm_?@VceTz5to%=8?ra= zA60@6f}Y-=R?=dG_IbUU>tfe6I^|!{>cV1|#@WUX4XRG4Vj24RwQ)CV_X;amu%_Lv zk%_J<;re@zxV4qW+Ud&MzU!$w@a+%5z3&e0eyD%U%WvK`xUKfC)1|;}lh>DjwtEo% z`bk93nXb#5U%uNY_f-72af9bvT5~4ct4BRsr_WCWju>BX(c7?R#5b>-c&DtpS-aDO z!0#5U{&mv6o0pGO?6Ypsl$nhdl|ETtFV^pyHxnQ3xU*nQtFCbo+Y2ww|M8qtjoeNx z`W`6x%DF-3s4>3PMmYwr&1+UMBS7!7$GU#@!CKu<{@kS z``|b3=|9^>>aSTUH(J}JFs{~$?$fJ2X!G=@v+iKcn&o~!XLoV)pPi}|Rk^gRS=94M zhu?k}QZi*v+@K{7TT)q_0R8{HaFJ|ZgpmE`=A<*RliE#_NC_fFAM8OR6lgh{DZd9F{_dt5#8#h zZGTpEYQK)&IaLo2F89u4dogPNs6y*+?)Dy_iS7H_iFzfsr!Dpl%IO)sEUtTl+53NS zD3|NJcyHIS8=L13e>idXneA%^tz7fKHTLnnJ>H(zgWKIdyk=OtHaX8a^n2XC-swqw zx}VD`oqGRh{fz@VoT}});z8cTOozJ2=18yJNbpP28k+IKSc3K-SKH{d! ztGB70;$l~wUw&xXt~-riOnW;$DCN>AU8Sz`C(YTGS98#7k9sHk=BW;!_G%q;)H=IQ zL|WgIhX=h)e|@{x<}Y7fo-aB~eX36CQ)HOc)iSu^=J~x&cHds1`H~UW_IG<*)#{5@ zOZWHJefat0wl!b(7&@n6zuIB1hHXgbT{AcP`13iHH<^5^ylC!w=kuWhuD4&%_IQIU zRkuHD5!qhbcu$MQ<*u4*)_bs7cL+bKKL6K%E4{jGdwO*7A9XwR4XCqg=;(>Jhgenht8v*r zYf<;^H|xZu_M3Rw)l#=pRAIGC_kUlr!$Gs7Zkvwjzm|V8W=5UEkAfqEn|$!N+V*wt zHcw|9K3mDBL6d!Z4jdf$(0O`4@5)yF=lBf!aA;+P)6)meUQnyyFIjP?PMT_+yXv;C z(I!=o{aZduANyd^vLW@q-BZV=)rYkcs>g|wnXc8Vzk5{uV0^nKV}`V~tbG{MZ(jL@ z3ok{j8uh+cx2S-APSdaT{7|oxXwI8vmWXkk&cMhAM{L#_r z(!et_5?id_`ShayXN85{BlRtE@@D+`u-YljNT&&rXn%P3mn+A=^c`F$Ji6HXNTWrCzZ_aN&^4m>wBwWfj&Gcn+GuY0q%9F$2M+I1P~>iZ`(3M@ zRohkHnsI*gC`a2{Ra*qBpRW9Vb>pSGrX(e;ZGZAWqe^ww@2z4PcXvu@t1VyuRD7!Z z-E%iA$!{Z5`e)y|Z0vsNd#7WOCBBw}lOFB6>VIUjs62e+mCPngId&T7qF*Wn^k&;1VwwJSNEJdVtR|l*HvNtr&QWt zX+HjFx2}zTKX;<%tx2P`ZWfOQt`$q?+eOaZwEanz)6cyM9G6|{p6S`W|Efx+$Gv~M z*ShV@h7;FaA9mZ}%aOY(eLehfkM#%cjO@~{%9(xDZ>(&ztncP*b->VRTegqswmG4E z8>f4nn!Mf8TVKAh+obhlny>k#`FQ8bKibAPUer%$cBMl4`V-IJ+1}17*lsK~=-=DU z@e4_*IIdat(ZZ88T5p);dm5$H-zTTr3hnJ_U9@?$7P3Vn%r%e~b zD(WqTuil*PAG+S;dbF@o$>WsrkB*159}u!z3A^^yyxOZ~Z7tmT_R6JI<@+p{*Qxfy z8N>X}B&_Pb^U`L`&4Iltk7#kfAmQzfKYpC_?$0)NgFQ`2o!^{lwApIL@CQFG898cF z>!78(Ji2D3*X{dbW7nHY>%1;mb??cb@V4(;4Owz8WMItZuFRl%$NgeXr&B*^qMkRn}ci zz{6(|HD=Gu8osZ5$uGI}Ds8GYz1BE~BTcIeKD{gQqN$O)?=1U>CwJPs8?kiTjSDg5 zv#zIUSL~S*b+N^BbA{RU&o1g7Hvg2<+Huz=jB)MuLp7_1g|@=SYwWiy02WK|#+zo0f9!sUJ7(58;6mUk4)kYWva z&bZ&gb?Zgliz8VcSQln&%>K+e*q1;f-r>tJPuo@@>||yz&v5IelH3#vGCnyn2?-~S zUy}yy9qmsyCvz`QY*gNN^+To10_uazB`@|Ss=R^2LEZ{yd97J%B0nl!#KaGsZxiRc z*LI@r7Fl4_9a%_80OKE)Tdggt60T&B#+63rA+fX) zI1LR|%s{$PoxRsMe67gl?fYCttUSuyd9x7Fto18?O4`liy7-?9u#7cJD zxb~24)-G%O>9wi54Sx#uOHBM^`C4o8q4@HlxIBuUsnv3J2WOcj!0a zg@e1JyF)bP>h;Tlfk+NwMz8KVg~Efl3gsEA5h&+hH1V{(m^EJk*w3|LACEizaDev5>6|>~D;81aPeZd%LDTA5T8q zj@m#WLk(#ED8ToVMPTO$OJVH8(5#cWXh+wg$B0+b%Q(D{QZ>nBcL^=Hv(ODf>lgcH zn->_k+?{m2jG36@=UWHr$^ZBAoJ(UauCA3!7X=R>Vl=@xHlXM~@(!NU978(yyUjVD!1$xx+?XQS7m#>?KL z4+yo$V37#d=j*t%;#+7Nn2i<pZ$USr~?rC^C@uUJmu45uAm|1(l-NQ_~W>I*PSUS;6gr>vKg>gP=a;G z;?OKx5Hh7EtHcTnNIE|Ou`4SYv4;^LR}tb4kMBjkK&<~hxwI3HCvS{v%dvzmoc>2% zO*3KvX@ixPhj_A`2y z)#@O*P7pHiB%)1fc1rV}%?)Q)DbKA&3-(+Zb3TaaJ_cS*Y>M|Y?`@zOg*Il;kOjeB z!I2;EHB_3rzBeOVvf3EEP8Xl45(h+e!^!;i@RFdu8d1Sd2R&o$R;%B}2 z@PU0PnI?)4fePz)4)K3|U&cex}dB8xV0gxYy^L~6vHiSMP+R`+qqRKBJJ z@Ir(z%UwQ-*8_VFD_uDc(HYi}3C(j&D8tqgs^B#U&YQ;!p;RNW;^_W*@Yb?XUefze z3mAGU$+hJocgdNghEvLcE`DzBBd_z6W|Gm z%=nF;qF#ijtd8v7Gk7{YI6Z4a#uXMG0oSL1Ypc>6DHrH2(9Sk8Xfn(cxf`F1aBYH5 z=Su*zrIxWs5!ArgUaDfqpHsB#tJ8?qQOSfY;ECbr_X^jJ`|KcW1|!zi0}~e_srd?1 zc>{#S%4EchS zs&VUD<}xsK?V_r_pYpR{WuQ3ze&ug~S@G5#B1|zDsX#EVGX1AHzYhYoaW|8~jG%6K z@~MIGNF_}~2yJaSV*!^Q5RegmPu7Vik#s^pN~2a|D)|x}bKL#IWA4w~Gl?arwuE=Q zMr{fpd7cv73tzp7dz^MfNoKSXhc;frkl{3lfWf}mrLXvtlz}0U4d1M`i2-P@wTN8RlQDGyYN|pI5RhjnO!cGH$5fK@v?}^Ai zYygIHF6rtRPrYQIAY52w`&jZD3Ii4sFY)Z}9YUY%enbkc zi{6o)_AaFPOFG;1O}+NK%{-_+3=ho{tCf5VnH0d0M^2P87kRLqtMD!C&ZN7n*yCd8 zJeX%##qm(oOSIdGWBr1;cloopAw6 z|2p7fc6L#*jjvasVqG>4!c+mc)}xC)7$blrJO+x-m9H&4GcjEm%bn)-XxEk~mc`j% zUjWBR$1GD$2(dap3#Uv`hu}0G58>6~3cGzQHsPq1X9Kw(n+cxmoP!DF2hhZ~IfKIi zjFG;=jRnFYt{Qq5zQZx?83d^!5Ht4n{i*hXrlXBER27v$SGUMnO6zGHp=EHic(J$j zOcq>)1bI`^ekx{1oa8_^mS92ySQ`@4z@dd|a-fD}J}$XM(lpr_FjJqW!7p4ueNchK z9W%oSlt)UnC=xru$x$-+BS7d7EsYubkhs;4y=eXKOj|_&;0V>*zt<=>C@@UUhY8gI+>oN)>jIKggjfy{t)Kc3wmN4JL)H%f`be+}madMD)rK05+XBKR z2AtbbS-+YJdNXN=Tu=CbJkVb9vQ!1=v^bxPdlz8~=m0+2T5;SZ$}LZOkOK?b#;}?n z;!%l(RxdybI}O|IrU`ybw;-$xhe>ITks;X^mW3Lh2d2$t$IrF)S^ z-@r73L@smS?$HF!CoS`rHv5E5;wlNw$~ol){xM0c*kZFV55QQ&I~9InP>w>9SP)M- z5-$M_QyXv{IF!!<-?g$R;*z4pr9JwBsTAXYxtC}A+W;^jqLAa8!4-kcZtx4dW(LBX zBOn`Rc7=f_OO03sydj})zVQrf_d!7n%B^&CJ4qjq586E6-)KNCS*_s3Q9j_d((LBB zUgA;0T|TBy+I9xR&IQfNJ<^fE9G!nC-(<9_&d9ZQ3a7#jks~s`Y*tlJR26I zz;8IZ!yYS~+r;eg0~IqZsqN(753!0MDp~{gG>sz7PK(@GG%-xHdv(gU*gs|)C$=CW zYnF(d4cPjzgtVIm(^i?D$#oZ^1nK-?mW$|U^}rZ77?I|=fB%s>P^*AmxS2NT z{>jY2*Qk#QvbQ)b)7JUooE?ukS*o{hp7qiR!C zIJy+W`x&qAJMJ^bL2h1~hK5-6p=Ivj#Bm@yeQ~SWY3dIeX9A=4zzBKGpi{H(*;)!I zfTfMAjTl8dMx#sK6uve%HHgZ^=0m>I1t_FgB!LV(i3mTM@U>cpC<67qt1ULj$FY1Z z9>JVEg-uyi`Hi`sMLG0tjfEU!qNqn80M7@k*Owb%){L2u3##gck7E`!|B_ZC>xnZrkBXWexp8KZfj9{e+;e=_`xJ* zS~}d-Csk`}1+EIq{e|T0U&Uks%rt|N5aF5hCDvDrGbgTK2}7`{zS(!iEN{L&AL0>W zuM?4o2cUnAD!omYINS$JtqVnMw-7ewh^uT#g<~BkjLQfYuA3b1F|b4;Jc>n$h6w#O zK{$?YkAa`d(GNRBINrE=qS%^RqCwU;l{TVDg?_{H z+oM2dcwfpKnIxh(v^Vg}QWl1ff&Xpu4n+wPe)HK9D-QCky1KZ0QiNl5&9p@%Y;t$;7cYiUn5wQ z;sE8D1fJ!FN`?1RO2M_oRa?5DB~iQQ*i+|So-3tg&fsArCh~1J*OI(2KTf_zcOKI?3wKOaEV0M$-}1R=AGs&##8ftJXG zN#`FYD#+^9o=D(7c3+%hF#VpniR+;TnuMcXmk+}xUREMR+{geskiy4un0VK{N5y;| zi_g{IFAPwrGXe5LbQHv&;LS$T!_lOeC_6U9A@4Z|bey-~tx>rfF>Z-Mtt|1fy2>6! z-gCxcgd^CTI2GWl(C?I_EKekyuA8tWSpLv@#$>|k_Tg8)=Xm;=jo&K-$K`FpEe&AI zW|D=$IjNEdC@Wu%ID~z^+|z(y1)9pC%^S9?>PIuhHAuWiZ^h55E}ct?n~i>iD@0d0 z@Eo7Gk}6fJ`IFtX_atiquotx8;KI+B5c!P!bl84`*3v@@#BMI{q}|-1OmSO;M#^m4 zbiou$Zz`ssMw1y4-<{-p5gmL^ex0jgNC!3#B;O?PMX}53Xx~#`NtZEZqKi? z(2*f4bsEu((8R1TIug-#Q{k-+>ZEyd=lPFT6$uyv4Zt~RS?g_6zoR;}pvF2nbj!*v z>1_F;Y#Xp9u2IFeMLrg}!!{k+9QK0$%}70fI3Ca&)r~nrpNFS4Sa zW@?yf6H1qQLA9fR66~YZptsNAYq9tMFj?F#+S4X%x>zJrQR7Iq`h4xxyPu4?S0Ww~ zyUh5i@s|CPvw2_sHk6&8lI@@PG?GE*ajNq|Gz_HxP`P*6-FJy`39P;VGXL+f*5`3UJ35%@R5#nhrmQWv4eYy8nTme^xBL}1@<1Z85ICSNC4=Ru3uCG<$?Z27xss?dvz zo^jPOKJOiV$(wf3c|Jly&2U5dir1>O{!bgS9aUdF?CdY)j6h`hH}(Qc&oP8+6a5U_u>RmNmsBAS}Y{V!m4b z?cexm6akrT2<_BxeS(3GVuyQ;SeB#N*3o~u4CA(P*Tx08_CS~=EGvGvp0r=%4(W4` zk`2$YYLuqi=aNyYobrzxzy)o5AbE;T1SANHxU0QsZYJIm_XgSJHM8q1{U`H?r-B+z z)qZZvY78`r_iMZB76vL3_+EtUmC?Rxj3Lm7c&M zPY8w00TCT*;FvqaG2NPV6F0%O4QlpEmZ9ANf7gKOSj*s6!?sEbL+26hR!6?`gP?Ku znak&y?~tp5u_R|O1p(EV5h8d1=ZpYijq6T*X-`E=%C-{t=ViS6NN9tDx4dAT5&RP} za`5ezkep+2ks%~9Oca}LsCPS^q=764{toD6rS^LJt{jlEyt2{!N?YBPY+SAx6$$LQ z{In1{djM|NAb<%r(-1PiV6=~b%7md^^9OQ*69)7`MNmqeJ7(iGB87$dAO}nhHq+AO zjvaIjyTL1IMVn%LK{#`h@9u_9MI`F1eGjWOiW{D5SFub^t?u-N;#3cTqG>Z6BQftt zC%f7zu(sfpAiN|AUOJlE z(qoTd_fG1q@In(I1`}>nZTl%Q9458U&^y`?!_6}M`D;-RX16`B_I30UOA}a$DSY*0 zx9meYd6qCZ7b(&>vN|!&l9(u@L5F4LfCs!lDq@H2Hb6)N_ehM|Ywc%y-;P@2aDh>0 z7g%5VLB)BFM|Lks5@mTBh>ZH z(%0r6J#c=m4n{Rm_Cm6dds(Ms%a^jIn@gKJh}qlA+-CFmc^tV!#$eqsd%oK^39Q+r zX;&m%`+=sGUa=v88z;`S@kDi74VxMjgMhf*I4Ujr2ATWc4Lr2>gO9V&k1?@L-Zh%y583zS>mH4a!$k}HJLA? z&+TlNage^?=SMt!D@Va2 zQi3&Aknsiye=B}dIO0D$oz410YSrs2cY#}*w*tN|mF7VH>(H+cLHCWNtFe9)x(i<{ zm!8#A9r(w5=>m4pPgg<68d`+faHu;+eP*PSIo8}G!?89&e9uxrq8?&&Em~ObOaTKH zaetoQKlQ2@AsN%e@-^0*K-N)haR$p@4#Da&*9ZpKs|mla&WC@bGjudNB+FL!^WoU-CZWPs-Sv*^IKoo3! zvQS1=z!U-|Nil=j#g^50Fv>@#QSPTXDH4?Fw>D*A5l5W7#7YoL3W4t(-qgsp&5t!8pPrtY);WsQU98$6JY4qV6crv~}aQV)S0@gQZ zK!R;zRQOq}oo*K;D8w-nHt=y4fR+D#AJorsRB7uh=Kw=Y?DP?1E$0s?Wv}AMVP^v! zzWDSYhc{b1{ml3Sg5bgS)ZsE4jPO@kld=&R%!?kau2JjUWhoTb;)OWeJ~eZXS%~a! zoCpi138)}cXS=j%@9m+GG9aF*`XI&m=w1L}#(Op}TBI=xS#dGoEQFbhhuwflS!SyU z1@Kf?Yo5p7$=vLAj+o-&0l@>cIn`25-FPc%kv#czkkvojI5K0Y!re~3h)?t9xV6X!y(NmmZk2f_tfa4ySvg|k6kN4mNbPO8X0Xg~AraH0helH%Jb zQ;{>wseG+Vf5uX?wVef)%N?ZYCOrp9l^HfEle85Y3L?%oL;}Ii+5dO&b@GZ@FQ^Qap6JCn77!oc z#bHN#GHaXU9}OM>9prIX*FEBb8Q*cpG9f2zhKUu`D5LTw;c!(}W59FhiRmz$p%}KS z%2&e<;GBC}dWrKN@;7et#db`6-VTRk?TIEB+!pjW-3Pyr5uosU{^I*?G6-gAw438p zHXNqI8e;Fo&v z_C?IDDt2%fVkD1PeOm4zj58BNqnHk63n5$3NeKQf@IT}$CaRL~EKS^*U2!{Yx81{} zB-M^oI}T4Dt~iQivHb+)o%C6JmZm+^sbu-~I%9u;gbzN$Sa%1Y29k<}ECk^CDryho z^hc9>NNuVcP2R2uzy+03G$L-2ws;d``ydAE3gFho^!%I&Zd(To{lkpv^s`ta zv&ngBIY6 zd6~vxlrcygB>MX$e`p~Q7B4EBRm8gGx>nt!_OUQ?xt3&wAeCCFc#ATIVG3Fkv4a%m z2?}audTkF+%R4pIyhc5Px((hh^ax+8T9S{#X|oaK6>MY9qg-N2W-P2H+~folomx>c zN_l8@@#moIYV|oR8*QGC@|Ne$+AOf$}awM&32)drYNYIq&pKW~bDFPjf)Rqh`|~ zbfrYA>D_mytFj)dOn{*Gw-(wR&X!hDe+V&0(=@bEe({QSGsV>GM36hlN<{YWk-Nw5 z;ihhk9PRICv4YRjhh=y7!Bk@ZkoykxY;e}VPB^BX>I|%ZeZy*gqI(AtJ@vQF%CH`~ zucyCx>3jV9dTSqI8;xLLL_uI}cdZvC+!ZK!a+Pb)F$OmW%Pep93kkfvv7P3~Be}7n z(@vB{j_VC>SR^Ed3P>L9*NOQTPJftMS&YcW5V33@${GFxmU5C6O3<7%!rTezuK&eq zJcz}ou1IK3Gb{6A4X^iu(04_F#~oV7#!@d!eM*aau4&M&EpMj!O5(s(GDf)zHtbND z;DE)xfg}V>T>rH_AxTEtommlg+3LK8^Xe~y|96-qj4hOYgd>V#<2?e?dr`3HV8GJ1 z2Y0B`qMS4YpbebGK?mpk)*IcQ{Ojk$tZyAg0+ce|ysNUG-3ET2Zk{4*JJNI@$+3Ga zsxqHJU$q&#>dT?mkf{89r!}LMs`H|5?6ve zEq*Ln0uTw^l1g^(h#wFyc^vtWsSIGJ&G8CE%ha0}5ukxOPGIB(F_gn9qiA}2!R7OV z@bC-phwGD>iO+}&5E!|HWuJM!?P{3YS`98mbYDJ2I~&y0vXNGSsK6{CbyFj|8F}+& zSF3t|S*sWPa#qvDBucWN)Ee#tB$?$NjW)?2R#nnz&UdqFCWIo7Zq}-(SN?fE3u@lm z@v{va+H5HV4j~?%DE*R5TYIDb78@D_Da9YUM<#;SNao8TBq9DW4omucehT^LgV=42sTn966aeZ;oXI4*am}1U=Q>jDI%{W7lFXn!g#y_^Rns>oC@q z@T#GGAc2r@p?1y%3s_*4XYX%tv$ZD0HpllKbn zasG9wyo#2Mq~lF^`9bt-O_>uNVfGy8+=AJdzxFMG`e%CFSJ&87f|`i-N_EenhDqsY zAXk7g2x{0wTh#MOE5tj->{jPz(%2A z$Q^Dfi>v?3zV_TmC5_^fd!p?X-s8i}X&x883Tb0@R%9k7B`VE<`y6s41>q`xLnWVg z=f)h&r%)O8FAjM#*0k8&R_Dy(Iy7c*B5tCxmURjkVB-a}#6|v~yis}1k`#|9e8 zyjQ^3 zhUFVyZ34KqhKs(4%ey9T4}fVbLcpnli)<4e8WOFG_8*hMFuRySjv#*?qnp7|(V%kAn(U8ZLTiJe!h z`fxf9Mt8s}w5}(5)DVga?9nFnAK#_n0;6`VLLBkNVnj%0cr_}jElx^S zk+ZF-gI5lCRYuJsWAlC_3aI_~X?PQLSu=pG#I zMqpYNfwPhLQAa&=L!kjK6=arvx~2PNjgH8-jNb{vjiv>Q`4lijhKj?a3BZVL-j_TXHnf(?SdeneeKL>p( zGRvF;v=9tQgtjuKpTT)N=v8(*4?&1V$3!40af-}kwJsIIUc8_vBIKpf*I;d31PuLq zy`dDQEe#4U4szRD$+&hT(;N*eK+6la2B`Dlgb^(i7gCeqe0LesZ)qiD?z#7&dS^(j ze-EKx(C}Wtp;mn2z%Drs6NtX~vxKy^WfOV_YAcBjQJW2+^9-lzCDwrSHf*)z{}bsL z?Ws&^;Edabx+ISVimr7WtZp&Hw{;ovE)vlustV}YJS=s$aut$;jq<++3-EvU`T_tz z!2j>_|6d2J{`Y+lfDd0lU3GA7XW_!dD*gccPUg!(su*k{9cw92v-m{NwX`&R4a9S< zH~|`lbSh>CW2;^A(qk^D@M!|pc9|nj(Tg$ohws6y-jMYb%iPz91XZ^lDRe#e>k$*iDE?HnQGv zLO)Ft81`qA(;SDYV|y4F2$vxao|ju$R)08k zM?+>Dsw%|4@%~();4xm#^$8evE(Inf#qz_8e9g?{_$K{G?O`!_GieJp1qJRG_5?V- zr-b=ZSvM+OGg1X`7{OBqVwE`G0_=AqtK-k0_duGTyUeBH9w#RvF=R9Dj?$~&jz z0ghB4M$tfjOcZIQ70C?{gl2?-9vx7NE~o;S5YOCn8FBM#)g)oQR7)U2k`gpOo%Z`b z05LKA{^<^){j-5 z1rEel6rLJ98G`i%vDpI5rTZml1;k7gKiIJMIxwiuFS?Bm8&DZcb6b;E*P?@96mf85 zR&>KCnTj#Cfmi#USsD(Qm(yjtSZC@mtNICq9=WE?s@S1Uzl zEHMQxZ8itA>lgh{ge$r;P+DI0M^u+=G7eW6r$2?7_v!`JzDs+HI=lE6h zgm3#f%qj&v21V)MH&#w>Pz_;J?cmLRFE_KVNOG#;7AxFxxsV30#wzZ@DgfXN-2@BD zdNqo=IYM)2-YJ77<9y!qUnMc131>`r5g_wN3$``6W#A`wqPY4&HGKDm;DG|3{CleE zFo%8QJ<{sbRpN5aiuM?CeB-S$Pk(j6{)pNa1l_W69Y(gy(-oW$* z1OX7h7`1Q58-V1-Vucy{Xiwwl)UN-yE|x*#5{M8|7ZZHqCJt{}w@RJ?1+ZaU5XB1D zb6FzKB%PohbCAc}o`vQ6vz!2Q2k$a7BYc_5zds`00tZjB-tS&d3)aTV5wMwDurQbQD|q0`9Em(8QS zOo)CX_>JI~f?o=LDfp$}mx5mkeku5+;Fp453Vtd0rQnx>|0ob8EfEs%&HTr)IB9@0 z+e9pPi&IO#684#l885ziSOQCE!S6o=9e%FGEU%*aRi!)A%764^pW4N~_YBcuAV{Cn zU+i${@l6!&SjWJ1rf-tBq;g@VasJnS(8x9NC>4kSjQhXQ%&k#hfkR9Azp%uM%$W+m zd#OMKE#tyh#_6 zHwLV5>2N|_>;jk3#7AeIsVaQr(892T*2h&xlbqo_U)yR`SOTwuhJm`J+OW14JkmyH zkI!^p9N!PNV1t}h3f2^5F4Z*r3boDebC0UMDX~@Sv79(krRZ2Us;M5D4q74Z@@6iI z@-m@2rwqcaF-1{n9BA}o|C}viGYcb)8-;KQwEPGC>Tg~mW#qTeHqFukj{4B>i_&iG zQe_7Yle37;Ar>1E3GZhFGEf|d*ZyBd@3 zEMb%`2XWHI_zj|jTB&>&g9U-VWv$vSjRM+c=U&W*)r}PUB ztiCoS4~F3B@P%x-fD5Wiulbu%c$ik)yq`NmLE+fekNVyxFw?Sgcxm~B>>`j;1O_A> zx8Atv2}pi?B!r>sThp$9ZsU*c%yjDVt9h?@IS%ot<$Zug9ZQH7{2MQ!ewQ{6TQyZ z)+Owh8xCdAuZXtxn>1Orclv#Da6wKL5MCRr!VyuoAvHqDJILzIR`Yb3Y~eW3=SUEl zRIf>SkX*GVbCvAsO`(~`9Z&3BTZ#RHkZSZI;h6-Irb0QV2m3Dq0>E~+&_URlbnn*C z!)sShA@nFddCO)z_fqk(>X8d%5-II{g+88Ra)%30@jq*=4U!Cr|6OJXPli7y0wbS6 zL`W-vx$JLqsrklS)<_O0<7AD3K1~u$Lp2Qb^3|Y>u$F8a&TNjELPCPpR3~j0>l9+M zL2DpBXJFa(1v%}C>s&oQbxum_qaprTkY*WYK6_XyUtDo4NQ)v^dr}RD14$v_W{oez&LmkbCP>jM`;>~%G`64 zfLxYNqM!9tUB>qwb3JzLvA9unL|crQ*N3rhN$ zbKp?~v0#ON$S%;g64=LpB2wsflhVGP#8TiKeOba0%RmVDL!wYoXrfmje?4CUryA?+ zyM{gH&U1)EXasgvE&rHhD_evlNl<3Z^v;t@jMohE`i4`peC`lrcP+Ch!JLOV0})6p z+Hx?=P1P_<{$B)ODnR(YWN0i9YEO!HVu|O>-75Rs+hQWLI8AA;b8DpDf?W$Bppb~K zX4{bnnTBo2r-NXpYPFJO58QKPnMat;f^$A2DwGG=ZM2cIMlI{l38T6j)B^;T$08SeOvq0PNcBmxvTsCWndA7@WbDVc6ckv5I=C&mrHrqoEQXAO~mBlwNrmxBK&82)$Cz;a|=FZItd z`z~uy?c5-CkcDIH9lM(FH7C-8fY)VSG(TamMNA_lB}2U74za;Z_r844-l8}*FS}cg zh$QZrjT8!|M9V#X5@Slfoov6YFxbHs7=>cf{we zPQ;}H5kbv-ci=;wELyP3zD`ko?IHGul{(e9;ackYXgD=Nc5Um&7tA@Dz8$KunyInw zjFQ4Vc9eE36}u8VH8#_UjsaDF7X&sCc3*#+ezoJuxX`BgyZv5#nU&;)OUp=o-E`6s zY=3x_z>?;mLBL&;3jzNLe(mpQmo&z1xKyOcVyDlWt>cXc{*S@W=qsTS+rfH2db^@0 z%>TTY!|K$y8ddJ`7IqW5G1tdXOmaWl8D(~)n z^mt2*KQGTW+utwxIYIAp;^=Fcb=Y*9OfDb_Q0z=Ewj;?kPVt5wF(x3U#M#C9)ZrDq zAAsVu#y|4e5Wf-pM(|6)e-to%?t~u}jLvIb^9t!m@cw&hx+i^j&M}#Op}~;WCx!dx z4rI`3;^k$&=RVvwfoa=*uN}xpAC%&+G5Craza~HL2uPf7W~6xWL!KBGBIY3`tw8n^XSZtqic_bz^ljtkY(T zsM=fUmh=rl)n6JxHv$mK_OJ?Ob^svNB#cU>xp5dmZbY0|OvMKHpfzXpZ=s=G0#x{u z#eIl(hbjIog=WN20UNn0`*)SR%qOP=avSdKtwbg+zz^UG9%oP|K45@;;Y!@+9#QZh zCmATMi6!H^6#4nfjjG^5trk{cTp`x{1SSjvk9VhNFynn zIR;z6VcE%%<_VPG{aDWMR2)eBec$^mTWHcf#@#yMq8%_rDqG?HivVBQuX;v$ZhYtT zE882PAF){&IO{y3A!Wrr#CKI$8&ud)bp5^6?Wzh#(Afn=IBB`O1>N}LDMWC$t!>0d z9NtqY_SuD%$S>T*H*-`JARaYoMtiIZM;1C_oLV0uAx*U`oQJ?yWX(GFX{^#J?X? zUFH-+2z4_7n8FPz{pCWPerg~83>_}767g>Tw%OG-lJM7pVh>51*NIdO;s(_9^RBa9 zLWm&LHS;xJm{N2WJ$`zpHAy9iV6VC1Y`68h#sz#~tO&C*y+`t$xkolejt)kjy4LY23zJV5U(*t0C7|F;%=^ro{ zbE8Qa>BFdp+<3=I^M*QI+cB|?E*_}_uXP=`fuK$MR-A!JpYA{a3lJoFUpRX_BuNY* zQfj1kE2yCXuVwUzhc8IxPn&mk4xurF7<%Xx+fafr znpJa}&_J4{{0mtdPX5T}SQ<%DFAx&UOF7Xy-Fx_B}wMkR;?yf(605d2cnGLAf@>9YDW-5#4AU+QR zKP?3q$I0?nZV#OBfr%yym04JkdZO=~7hgT=_LFNSAo}r1-uni}mqmzXTgQTox8G>A zvbzj-!S;Ep&L4%yS1zsyf_9r;<%v*NXI1_1HJn)MBj&AP0oLAS8n!d0?g$>xNh1Q# z+4#lxz5Y&l=zX}Zk<}2QLzS6{sT0o?MjsToPBkGm1>J|VefJp=Pe??shX?>E z@tUYZZP}=M9*W=7FO0Yj-yS2Y2rfYW*EK#O8Q{@ih^}irj@P>&0;-aXm2q7|zZZ;{ zD4TgG)OPTX0G*j~QdeTJuxGvu$`O^0;tKJDd`W8WH+XAGyNO7fE?dg4dq3Kn!)!@1hh%al9|?JKHLb+f|tVq^g@(r&>Yh! zF|{0GApy6sMgn>|k|*#*Rq=q{aRceH?(R#OeTBqXbUJiWZr|D0xV=&)@m@X8x63VO_3^e3)trmH+i*wi%k=R&-O1Krh^#4a_ToJF6&O9{3?zEC<>Dd?Nes$B%ib)y> zmT(hScTmIw?uPCrZQcSr#Q5iRKkv0Bv3<5YJrj4NW9TyHzvp{`h;9ziCJaW*VKVmA z*GkTcp!nzl1}6|1DKn+~%2QqrwDg>oE-B&CRnT-IjbQlk1^b+d7!B9^Ngd6QWD*C8 zK}c%4Oy?yMBM~R!+`4^7!$`FQ-UPhCMkJtj7NVmC24;y)IwvOfN8PR~Ze+EWo0_l; zm6(imZJ6P+6Hd~UgmQzLX-1H07C+fIiexgcMXgIt2R_NPVHa`DpLccw9x2{Q72&4` zyCrEKD++3HTFtyb31}$>`oFCSg85}AVCPM(_MHfl%NYQUQPY(=K{lMDeXI|(c=3sf z`7ItLD53W)?{oQbKn8klS2e1n8EG5dadFh%&_MgN4?_5EplPB~3V_WZb*0BYswag2 zfOXI`^e4*b_UqJwu<{#dwEN2Pg^W@ii6)syX*O&Cu!``X9+HzKlrz=6gN-@hp#MeS zq*W;X=_(PW-zG5iY17qODb}0Q&g{v)X|7RpsGdQ50I8YTXz|R1ta$m$6yJ=j|8y!jV#UlzLC9Ev;}RpNT}4CPP~r4||#19dx(kWMnpy+@f2i zjdTJ@zHmXGwx54Up>?%W6DOm9Za!fFhI=aa&E=!-`v-&`C{Mf{k5$uzfADf6HX`ap zKG(>g<={Acwfa%Y)Pr}e$NagL5e)_XB3AXs;tCjX?) zC(c!HRaZ=?<;xU45-!RQ$7Lr1uMTY0y?|hhuHIuZWIH3tEu==Ti)eiDyv<=EyEsbH zZ@?<;FP}&h)YKpb?AuoLW)4@f7JQ!rKx=PF#9Nc^L5-!S61xrf#rDsR7sJqY+d+FH z*B??l-7%#>G$9k2-X0h%T*dJJvD;;!xb|0;DOwmSA)^F0Wxjy!3YHC1fJQvUs6nc& z`asIQ+ag=@#5|YoeE#vXhvc78PXa(vn)9X2+6;T+2SR^mJ?ugbw#W_=lO_Yfbzi3F z8bVHV!I?iX>?tU6`~i$tI+_#e0v9NH{OAAk_(Z0b-Lz!$D0FkCB}J6ZEscHzUpM?i zQ!>wF6CEs-j<=Uq&TTiQn&5W`#@@cf*-x6TC^gqC-CwwsUUmoLAT&0XF#Yc_ZE#iP z_Dosr2N@gWXYBt2Z9tO0PsANOdE0O!Jh}V;8gq2J*r};ZD%R#BUAymNEV0l~(wD@* z)zxc}Ap?W-V5X!~s}r$i^n_hbymra(2?3Ol9wol7FGQFZG%cR{p)`czn$v+id98vB3& z+!NfRg3#0vK}X^Ys1WZR`}X2}z%N_UbCUEo+e?2BBGP9>00C5%hFe4m6`Pf z%;0l*9oa|A@x;pxXtEuIJQ3ZzF-7CqHN*}PwhjQBh+;Mc{U}n!l*L6X+k&;MIN^0Q z)ZF~zQB$3xMUP$*1E|7B%iJ6zViiagF&l&O%vNN&0#d7Z*#Qmo#EpS>s^XrVtcN=< z!Mi&p;H)T}3^OgU+W-n!pLlVoI zh;IU{cg;lGN$jWK_DM~I_H2%?%iFWE__$LUKnRZew&^MXfr(rwnlkBd8SSfC{m&xQ zyLe!pn{^5>6DiDW17zQPaXJwPzJldql_ifmyQsQmwq^rTC=sp?-`fbFeDWWvhFaxE z8t{5}Q6Kbl`AL;nz1p9yi|0qp%Ye%ppM)P5}pMk~PlMOcWJ1!}Yc+qkX zY$QP&_2+wODct5N;~5KW;G!oGSXUZRos`t2lN%Y*>(?9vwhng62c(~}v5BNpnW#Nt zExME+i5OpT^KWPm5>iqUZjEfj%wEydp~LaN*g<}2bd)GTNy0~KWN8z?Jv}QJrBbA6 zF{L^K;DmU>TGasl#f6O#i_GODAdxsJ74RG_q3LSkz?sVLSG4msXeGe6Qg&)N>Be-p z23$rt@mEy|>lqb3UolV#b;szA*E=?0I-oXp0fyz+=&foccGNT~%dV+K=fTn}X^(p^ z4*otc+G@xDC#}qE4!f=MCpo-xm_34Y!Jeh_hHxdFsFq{6J-ajK=$05ed3T)% z%u5wpm6CjC3x2=@Ay0OmU9ti~1fIx}aE=hxI^;18`XUm$OScS%f;@dw@OD=0Mv5xc z0AbM5K!B|;Ua@@$z9(vX#HBsIlX(O5Bl^3%DMoBzX=r`^rVDAbY))nf`+xxy*KJ#? zB%4iZ$S7a6Vl+V$uB5^c@hKOW=e$jlMx3?*-2NpKu3F#Gjf~^a!hB{7lDqAeW?Y$v% z9p10#r{@#ELTSl8A1=)KuZsZK6rCJvtHQ6F?mKdP=uAZno9QKbt7CLthn?fONf{y% z>BN3@Xv@cfM8WnPH3GJ4lzV+cvfC1l8NWh@svNm)OY&b#nKzzKv3?BEL37*tJGsk9002JDg zAy@NE;Cvcx>jRLGSHjsoFySsBomjjXKQP0hYYjLq{XuXm;{27nRIn-6d-bCKW;eES zXT(XuEriRx&JqyqDwkb+^(Y@K3-rgrd5hUx$P;rq?rb}7EEiT_CL_n(ubi-Vq_xGC zaeCusw&`6)Jc{=93`Hk)yVc%SPA5ffOGxvuTP_}w%@LCWCiGf2DN0#?u8wCQxsW91JB0E z6kSL8~foXTLLHGed zsXyMw)(qfzw8VW*oyrlIanQ~4os_}+!z!E1w;<#2$U|4lQ5pMy0V#{-l;Y!19ur>_ zdy_#415G6cy^;Q|Wpjk)7WhGjsc8}6@Am4uU6%N?_lrygL zb=&f9Hb6rKDw+$P*J^!S>RRL~$y)MBE|L1b#VYp_BNqGTE>~x`XySMp_p6g<7Ntl+%bfgDQUPIb>Kd2wKtQVVniO~%mO~sE5A1+%hfD^OoaH0In$)adY zrT9=QnlvV$SY<@b!@+fahU=0QVg5$eP#akUgUk^S6V}Ud1N;8aY+@ zZ81|I0VxIFdd=N{6I*Vm3fmAU*`K9n`QCgY3N{VKB(qv(D8}|vmACh= zTDG0x`M5X{9z=4Y>dZi1d0E|+9$_d;c2z#Z3E8C_X3rZcpqhA_;{-=$Spcr910PHL z7Ob#5l2T+}>}P@uhI>qAe*_dga?B1~t6}^m%ypXv0sDXfalLhj5CM{Q4fi@TLPQQ@ zr67Sg5=UNQ?Fu9AWp|RxnqdQk5lhJfYG@h>l$mDb7IrTmi}N>_ zYj7A*vn#?9;jg;?ahJSj9fz{P+$gHDp{B+xgI7B5qDf2wrCnJX^_H}dXhQTrUH#UJ zQ>K5>mv2}TPt_V}LT|A=GNDd1Pc7Gtmkg^m0T1Ofq9V$plfZZ_lh^*#xsl&WSUDpt9v(h3XUHC zOT2~$@go@2L1}ygsQ2oqh`FA%SdsZ_=(kn%5Ep5Br|N4L@V!iWAagPXb6H-P2!qdE zJ_|*{`gTMCxM>Un9+tZliU>j{;@^e3I2m&a#B9FT|B?+YFq|D8Pfw$J~=U)@0=l2*BTCtAQEI-kqhp|B_MSZUxp7V z#@{_cAyyP96=wP=y$Ud5e{Vq+@7wjb58KcfT(R9C2+1K2S1EwX!ozclH0CKVng|>m zcP@MGQZ#cR%a}XXUVMEqU!tldcA=?qA7H)(Cm-PhLPQR7tz#1RmY&&Z_ z0itZjG)`L+v*2-F3Qt~QWNWENVu!+!|3Vt&md-A4ey@rB3w8P68N5zMcItlQ_kJ@exoyy3YmOX4-1zW2$B#g|Pn-ej zP0b4M3bIiJcr^9TH-b1h&0;T?ZbRztXY__nvnH2C?m|=Ez$#>WU(X*laA8?5_=*a) zUM{UXNI?H|<>V2gF+=A1qW?Kd{yJtIBWjT{hiNCMw^H3@J($+2Zy-Q`C^Sy12$qm} zdfDM!d>191%Ss=+WhwB^_6kaRtK9}6E1O_oZ4|AG`aSDPu(wW9(IFhjp#e{gT? zZ(Fi!7+xd)BZrfV4rC3Ht2)+x8H(qkw}+B_P?l6s4_;8zoSy^Omn|YTmm>fK_Pht)W*p@;}9F7 z2uPGd@6Rp{jJD;G{^C|aBhvw{+rh7{`VLe%X95?8kN&S@`E51eKrieiRF6?m9b{OM?3?P#nvGJ009aEU+Q<7 z@VAFCyl#C0MeIacuso|QGAi<>A1Jg~yNPHnZj$>-Ux0bJY2@_GD_8eRXf#~8)dnXU z9mvuF^;&-@WOJIeS?2w6j_ZGBNbCq>RNiJ(n63P50`~m5GHosx16Nvz!eYMbDQDc3 zN4a+E5>myE*J^{HnJ6*MghmY-4-0J+2;>sArgolG@GZc?MFuCsAgo$IXVy-za@ox} z4>*NBdJ{`5j^#^+6I@&E2(Weur+RnKPxFnEZwi$=Dl3AQAP~1w`K@rKC=2Cc*Qf*3>IU>HT%ga``Yk|`XAohew3HME ztA`MlH=AS}n&pBJTUo780q}SB{?oGcns1FzeObDy+fv>te{n&p#j_kJ869Lju7_P|dZj>!o2Nf4@_Ct4 z*MW<)Pk!mQfg!yt1JTHdK^Tz(Cpx=*&qwxhlQ;b9rr$Ta=B_n$Ki@!&3iYZ?QEXx7Qyr&O4 z$q8Uw0|VeQRbGXHDo~pX#oKIH+)O^xr@W~C zxG(qPFV8_m#WXMu0Mr_`$xHhkX1M%#fi-sumJ(z@q-|!}hIC)BX;2dbY>nxg21ffg z->E=&sFQ}>V*umtY_@c-_sEW}c6B2h4y{bY+oV7CLxMWkJFLs8qf)7dM|0EUzX~^7bt4NP|6JOY2xDr8nSj6lvE`)BS zW>r19P)tKHPVh%@Ix~uNk=F#=#lDTwZ=EtL5&!@I0SD!S6~DvZSLQ!jsWQ)-MefWT zP1<8{<4`#0**KiSy&c3%ynB({g`#BHbyU0g{(FdZZKQTibM%B4{S6icz9@}3%X*s$ zm6MM3pB!$CTOl*DmK`nMJpkX32fLW+77+xB(8AK>8u95*0l{~ zdpcJblB7wq^AT-3^|D*xvJIUga}{8cAcxCY+T*_B$MGL^h?$SHQQWid=3Br z0Tu&q!PUDp&}@=mBW5Z53&|{fsUebtf<&D#C-TYt)L99h8os>FIj1gSV)O$li@_6m zqj?c=tskd!yi$*ziN__(R!h_pVKCbJaY`J*#G|B_QX!uVmWzKZF^;IO%a9KPq_{sb zu|}G;8~lmaMIwi#B~Nl$T>d-I15g$}4zeEbDZ5UmjDVyJ z8Si{YM%e>E_{+|Fr~PH5$#zcJ)8#Rfg?a5S2#Y-?ECWr$qH8CKRuv!qDS+#feO6s* z*)dp9+au%$0eH3~5Eed1$W6Om%xMEp4-a#!rk1MNKrP_Dp%O*QEsnG+-Y8%`QLX95 z&Qz@^kA=TsYN|B&GXk?VhNSMa<{+@j4+aA;rh(^Y-h~$2D9kA$r(SgFCXup=wUC8$dHchfHe@|M`k4kG}qBpMbeWPkYs^?uQAflA3us@{@U55PSO zxbE8?LO|^KPR1)oEd92lH1T59RCSo7wnKQDbvIcnNc+EvR<;xGF-TV^6p@F!Y=`DE zb+8n>A5uO6Qi50s11M=~CiNFe`}r$9D%_ZmvTX^T;+&079bEn_RyRf21%PO&X#A^G zCCLRZS;fs1UGn)}V6UET^~3JGbTfBg9Bk~d)>JZiTXK{d)}KKs=j<&#f{6M+c9&PS ztY_Z51_Q5aTCSO^U1w^a4$`f`|@S+_d{J5l(s&+2vz024fScP$^Xr zPyHjK)k+aYJHrRR}Q)wukelWqf{uKkyC88!Z6S;ls)LehN;J(@!eciGq=%pqSn1$_}Try)TzSH zIs2Fx0>ELc!tq>8_J_4WtQ%x7HxjCGaDo2CrWV$A{_3Od67oZ7o^-m46{vV*Snlbc zLN__BHFHl|LZS17!^pQh1_HdY`l*9;h>A%Bpd<{!thVO4da<6MJYY+CCrrLo{?pd z8y%8wLyM!wAGs0UC<3L?xZyr{&=>zbgH%S{VhO<6+2oYIz{C@80N@D&TU`daBzVSg zbkZ0*bL%x_pF*g7=8a+GpFHPJqYSXFo`C=3&#E+(@elD3DSVht;)?-O? zoM6{8SYImA>J+H8qzcgkj2ZCC+G^eCm079Swl=Dm1mdjR2bE&7kQSz}o+>!liK%|_ zmhqw+I5Fq?JKX(sQ#ca7Q@QrKfDHp?{G2#7+}yn3J4hY6+%hS>?P@fj4OB0KRipTu zYZ)w1J5`cG!qHVjsLUGZ8|;ixrZ-PfZS1`Gyd8ZFvL6Ec_E1};8PJ@LhI7-^vHA08v00K2?@FxYhl`{Yd>F19<6Ehzh!mTOR@SG?JY(^x;ew)>3x^eSsU@J5YR)40TQvGl^OlyZfC7 zyf<;|<^Piv>B{)BD)j%I{#=S03vAXJ?nEn`LLXu#ATdIk23ysq zI#7JWU}V$VfKuRnXHBTJD-X9P_dwqLMIYnVytT0L`Vc?%Hc&KL)tx{p;eHmsxKYjs zsap51qwSr02Zo1X3{rZ^T+h&|dK6Z(h| znn(d);BtV3Ch_gE-KeK$qewTmQ9x1&2}YbFoO?u7h*;e(m-zc=OYN%5g$;g z^J~Hlly4sxxXH4PSc@40w((z3m$!#mI($`-AL`Jf2{LDZa)qRNQFs+7EI&yoFfhwy zC06nP00H@l){?)`nx>yh3(T}kr0%SFiU<-T)rl&;u&B|9<0$WGDB^A|YIpQT(-n-= z<(ne(2(*nH1MVE^g92rs$BvEiAw8wwNOPdp$9CRD`6}*Er4`}818_C~fA=>R1E9F& zBvg-LmqH!YO9EP6*o-vQx$6__1Z-4-;%+pAQhn)l5XKL?zX$Nu{^ru!JJ>-?W$@Aq zB?ITsl?2BTkH`~4e^2J=WE z2D~pju-Vk5--aicdIfUUk0K(KGzwt)NFVowoMw=9Y^N&bjzv^6<~IWJ{u%>KG^xkK zf47PrPj>UOc+#mnQ50$uCJdCV(?M%MB-$FB?(FwC2c!BJ3vH+lAk`#R7h z77<%?aA05tE`|_mD?4*rTlh5@sW}?WAg@#DcBQN^*F9_>&5X+SiP$zMhF%MbpByL! z7>HheBRUS0A!E=RuPBFP%XsU!_lK1t=}I@%kN4y(1Bq>OmAN-#@CQqL(%eq0E~DC+ zaaLGf)~oT0OW5Ch0a4SP^0>Vx%DR(6P;36oOaNltQB zjn9p0lFX<26Q_A2FYHIj4iGZfR09PfWJjSu_x3hh2Hg31_e5apS+?JcG(jH{9`8sNFi=Ffca6C?w3bNF zWxMyoY$pmb*I$ ze7OW=>P2!610D@HB6^{gAO-u(?&7ZTGDwhU(`3(fv8D_N|7l^AIWl)-rg zGkjv=_&}K>)JG|`RurRnuM7JR4e&M~Ir&j|cC%0uC+VWU5&DK-UMYQW4DQc}fQw`E z6a#ko)1;Oz%C`R;>&}^iUEqf=ei6uN;afmCF*x^deHC9b&AAsW3uzu0-&@i!@!ysG zDhs-1F_8(Ondm4Su`DEMzfXSDLQGpr-!7ZfxC;Xn4wDpU zvL1|&sbiBJPOEXqu|*G24=-V0%r33vMo0_);tMAt)Xhe;hl*KLiHMsDo23LDbu;AA zBGsHaZ_5fg=Jao*Y7e8?kS2;@)s)ylo_VQyMn8mevvQ8SydDSx=j6{Bc|g8_<`^}y z%ewaD;g#Zcfb~VFQ*_>vcqe@bZ?sY9(WMfIdS;hQK6K;+JKcGM7$@|s2GN)=>2$dr z-n#cnUPm^^tFWnnTzB|YVS<8Pd#Bllqn%_-j1@X21J}b8*vZl40#N1_Kks5I5i|3J zu3{K%7#-g{d|R8=2O#ng@fhvp4zdeC=~o0P2QrnzdU3x#W?OH(rHIbx5*1=p*EY6} z@SX~wDn(11Eo-L!bAK9WYA#JFlVXCc2m^VF%aM8k)JwPx-TY_Z&tJt zz`;)LcQIoj_>n6ysDYh;g$)CH+uEQY7_?GaiP{^7x8iS(XLqcQYM%j9+lUXK-{=R6 z*|SK+;TXLf1YJpp&EUC2y6b#$ICluo%aI(SFas^aC-aV016+c|JV~jDQT_*9dFr}2 zP0NHtM7%75yq+loWP*I30!nTb~U5;`HebRAFy6R(MPM^Cf~InkzFNA zZP-W_18v71-l(GhFYA)GET(FhO*N|=<`5!bJ?U`W#Xdt%3`jFd?BcT?Sh&3`SV6;M zY2yeYg&fA|gZ^$1$XnrdH^fmckj|$-m*HMmrjtZ4ER)9s}fU z6`fit+*G#!v$KlZo92Q)ljjIFH2fJDTgjoKV=i=Bzi;7|(!ps+;pg%r zh?T&W{9Fgo2@q?%N~sg8Cxt4Rwrsrs&13%g;bC-5kOJg-<@}YiArk{$$B@BhK5Rg| zW3Hl*r$?9+jJnkEuCW6pGXrVt&G96jICbi;0mXVde-B3Ln@hV*$KaLr?Se!_%SLv7 zT>cxpj1WQ`Sir9qG<4N^Bx7--7;unv5(~>H@~w=vM(YCuU1hf zCBZ8Ht%=G1qocU(Pz@m$gVXtPgj12;(MvQ#JMv5rE#>9quM;=G4s5DwEhcg$lDVbL zgNjb6$1rX3%kW>VSixlY9vr-+JwvnOgD-9`13N~as%xl}h5DFn(PUC8Qg4u{`H6NS z8o$*zxgpB}7L=aX#D%py17?{#)$$LkT0kctB9S0on%XB_hX&EoCI|x-U%rb;tIopH zuzo+j)CKBnnMxqI!)Gic3p5y_7ytkPi2`!O-Z150Vlzzc(~&D1@iJNuomr;Z%pus7 zKnGaEF!I)5SeXiHFFJea!eYe?9bIz|6kwpT?BKMMjU@%467w|YGm??~|A z(PNazmQORgmLrD`$Bv;l*~c%fsU~<#p4@N@w!T9>+V@|7*54jz@eqPrzh=9Zf{YOY zUzy61rWQ&bROF3q=eABJ-NcY`t5nT22A=G_`2(mNC|rmHBj8s+Rya$>uoNA*`TXNIv59JrFjg`@% zC~J^@3jIK{|3^yT!?^^Tfl?NgAQG~8*7BCEpq{0LvBsEl;Whi z{+l_!n*s+S^tb?bow<+*V&$1|v$lBqPcPxdon?(*gpmYHgozD=txQ>UOc@ zTZ}Ht|Bk6;nWax?tS|<}$d?*LiVYNos>{{n-jvni56KxRm%_rQwwT2TS`%*=IIBS{5OJ>+k*ue|OKKQ?5vyZJ)X{76SdRebg$`(3Dvs+M0X$S)l~{8jT;w?e={^ zwTdL6M=omyIlwN?QQ>gD)6YU|CYwBex!3kpg-6&7J|)|>k|_ec7D4?V+;*3wswhX+ z*4rGUVTdMnK{NWXZiy`zU=aiO_MKMZ1lu}0?bRL6$8pO6EWZ>)QL|6LwY<593{oZn zA)Kro`RX%H&!#;KHG+yTD^gA#e>x~%uWtR`Vg39CaR}bfy;k3&&Wi5K?9R_*6^HaX zU#pzb#`8(6vzLD>0wQphFLP{F%RYqeMqv(8Ql(A)8?Kh&6X;qdV-FJz2=9k>auXPx zIS7vth8l5QL9DW;Th==bSOqF}G!r*F83J)ky6%rMinC^kO~^Q4=cn41((eP%NYXI2op*K0}7c=&i6== zu}60Y17v5+MyWAwNI&DUZK>><)lvRAmxsseuDi{hbPI4s&_fjNcOi z>4XJF&gv01BWP4V#;%ich+4SlviIVTc zkhbVN`Vb6yIACN40+d8h0!J?SS5)}`@fNRzUmO+qK^N^yn(fE+WJJFJ6L-i!HlH!y zOB0zs3maZ3trcn^^nnlnUsY$!3P4Ro#k71lB0kb9QCRc zp@ZhIxl>ppEa))#J`e9Hd<_5q?7*gcC{~#m*T4UDd)1KOIpVP@Q$0<;XrI?IjnfeV z@l%s?@lJ;Z-IFX^Qs%v6q6*wlP2_f1jhV^HxNHj#OnNt)ehzkNTI%W3EIP8jafty$ z-oJtuN75PJ%|H4B0@j?lMtg+wCVBt#68Q%usp8MlRpGi6yR}IYr?xYLDPx>Oe%b8@ zwxH(dWn0FtXIo&>^5_mZgl+`{Z;b0)p=RKvg$8@njLuo7v8V>@S-C5JvU@~5F`x|AM zfi0-1zuAqb^?ht}x@J}>V9y4^9_cw=GRBb(yPb2cFW13h5+#^ln^>|Q{U-2A0z@nV zU|UTKvIJhgo?~s!-X+?_2Ww^c)h1b!%+qi)Usr__Ou(_tbJtz4%jhU8B3_>$1;Be| zJW0Ll4a$-Qp<8+q0$9WewE`k@JA7Ce7L)Y|B47~@577ko*{a=&#EC%q0!?*LMaB_- zLT-*~{b8UZ$E2-a*%ysx^yaeb*ugHO8UhG9^7e#Ekbuuy>3Th9`ldLJr+x%9Ka<}7 zYp3xAr6Aq-D!5s|S$X-WDu}10I*MN6{xzvJcfuO#o&(h7$|M4H9_akeNmkB{mL*;A*Am?toAwbmS=^a@&npks_G3I z_P(VJZ!Au#=zZ$|0@d01+u4~Hbe$lYEIYnfD@*N&4&A4<>cVHv@->G64OY(7l1)b| z(qET`G-Fi9oIr-E(L=)jHRj!PSD@h<90J~qwCFZSy@&TX{|^-)dxoK?dOfZi(rB7L z+IN2#J|M%$OXAs;rt4VHsZI)8L6p4>ZezO|3hx*>l$x==nj-??4CjEc-L#A&$NYB@ zmV7C3j9p@I#p@T|efL1@6Z0;lGtli(pFF(5`5bj2)jcOILtDlhWCi-|$TnbCm3tuq z>`kEDJq`yV)@hDe0_B~7fambJq%|caps-(323%VY)CC+4eYZ~81&qAEKW8Msk<9nlm=jB81p8Ua^!kp zT_GRE#*M?f#8qbTR>E35YZ@UBkVeY}2m-s0>(6b^o(;z6P8?*aE{zaoMWm4R?UCYN zc0cpLRu#I{59!GQFlnf#i%jFBPk6hHh}7~%Yu1IWYzUkGjn;aEX(Qr~WpzAo zD{m(c@;5Nw8Gv~P0(qN_OCcsQ*%^ZTZMt-GMV3G-DrEfAJrMM1Q|8Zj}2_e z#b^Qc!QjAVO)uF#HLi-+PL4v>wW&`22?78oRITeh6ZNGpPYkY!A`tO-F?JfJxzT;$ z&sQW|j2ZWiZ#bN#0|OpMCn3XB%gemND`G>a-SOvB{r)}Xd{gm7Vsf#so4?pa!mU1cKRGvX5h zWQk^yY;p8hf>?B%ghPbLMeILPsL^@|_a?^EPh4awVYBscz@U_?##%=kP4jn_E|(>X zi)5(OL&b}d@x2xl0vO-BP5}Idf3=s|*=ofBq|jgYwG-8Wc0-_*osRkN9?$tkeZ>k5 zf1?GD3?{P>xu$0#2xIwod=XrT`T%a#Bm#)Qiaeu!k=*TPqF4^uu&C~WrWmJ(_338*Vs zD4erN9(`D<HDp>XXSiF|ps-JwV*|NGdI?;OE^e3J#2><3BJ0 znIk$v*u^@c`h}u*oO-!xNWQaRoIPahr_%)_$r=V2$oX7@;M~^D7)5sf&ZBHZC{jj8;BtKycYt4M058cN`2?AzSvUG zf@yb+8js$l7lSrk8WY#-A-)gf`{ft@ywSBv;FL}^f9^B1W~{EpNB&5;4CL)jh2kdy zFITj#ADwz2a0V#P3kur)neZKp1r~gfVz_aeM!_r|7Pbzn&~f|q0H>|RO#RvI&gBDs z)KvVKMPyGFGQWTv0z^$Ed8qrxxZTY&wwAMR9rhASz93hx_s%jj>Q!)8C%c(Mw;Arq zPsA%V`ii1Kvp@oS&`r{ijVia}5j<(XBLcO89u$+r7e%_evIU!hyjff#gGRkLJQ*T%p>1M~&B8&zEkn<{VQh-Z^yRXb+piAI;O11LM8 z%Zh7ga1m2=IH3wLbz0sL3uYd3J#^2K%myY2xEA+LM&@4R{qG$dt3Ol61!r&#WOo7r zpgBQGDf(H<|Ym_#& z4~l(Ygm6A!%0rVkkMV7$`S&st(9<=RuEtjqf@W} zBUnxBUG!8p_M(#;!j!og9ODdw95cfi5IUq*dG0$LukQdFMjH;*{%Vh)&cLNh^Sl%S zRorO6!W_A}?+c)aeZ%1C%S?;w47xO_+?8v`{Bkf3D^VR*cer%4T-zf-`0G32y@!GA zjs`~Ef6=6f4!yS&0$A7WI&!C&o@b9CJGtn2=dtQkBH6T%H+b|QwIpks1Uc(~@)ROB zM!`uCp|jqt4`O!Q+qB-MRZ&_gH$ikoEbv0euNI7I$IdNz05ZTHHHHM zQFX^;M{k_G^WGOF9OxV97Vsp9Lo~wdv^eNkuf&!Ph+LDw2>?yE`I;<(X6yFGIbs@F z%zm}#1{FX$hTJ9?0{UysR#crd*k!y|AUbzNhop5CU>LdujwvX2VK~4Uyny2-;*5m2eFbJ-&38 zu_{KBhAedr2!G4xPx?-vqu{WpS91o|wYH$ESCt&yF`>N%RQ^*e0+-daLBjKMlyX5n%ejq%gChe-_#W2CL>&#d2_m4oBpz13028W(4l$h42c5##lXQ~f?ED*v_JpUaOu$7e8nn@qJ9tOmt{3~uMrIb zmA}G*_&bn@M$KKm2zRj&$8`*~VJJMGO7!9yVJ%+>lMTpb;XUVnnbEs|=_>1jORW|H z7vCp^6!ul{hmHq$dOqt?T1+h=Nk?$-5lV0DNN;oq5#j`8-rD+W`w5sO6+9U?d+kmT%ok+C5*0DZ8DXu2CS zUbND%`TK71sCA)wQZRh)EdnTby4ozRECZ1@vylqkwjJiEs82Bd zUd+>_`YnrOl!z-BK5wjMSO_l$N($p+xwL(fRo6K(JN^*d1S0~HI&W|77x-!g(_B&E z%{=*dg(F99RAz;!qw%dlHz_}HP%l&|oXvplHPi4W@iQSRm{a;k!R*WpbXY_q953#h zVt28qViS^a1VW%K0(aeaM};zuJ0hD*g4vuYg!K$jVLNnum@&$5hr6L&b2`5 z@!E&pG9|_(39$)%nWSezJ`#R3zK+Y89?5^}u>`wJO@9$y@)H921I&73E~b^3RMH+6 zKxL6apn*sv&a{19>~2}OuKp}rGHt}H4oIFz1&opBr82>^?-URfQtVf7*>#tp!{8s3mJnE?Cj#}2XWe?}LhC(3G9x|*z>6E_jFg0_3QTjB z6aFkwK_0?+I_y%b(rBzN)^NH=i~1I^pU`PnFn85-L_jv3AtD0N`JD$8AdZn7yTW<4 zVXp2wv-HQ?ER>xVY7J(kZUP>m@Yv)HD;=^(A5{$Fj7j=uwRwZP-9zz;9&r0m%x^CO zGMeFI5$k3h+%V)$$}o`bn`fEG!LXL`nw-!2sbe1(z8vs+*H{65pa_=-rpda17|2sR zv?MdFjNuw7KTpys0>ICH*-vWublgq_6(v))vky@`pb;mj1Ly z>3G>|5+RYjtShJ%{}Q&xny)D@;zz&FZ0)CvM(FPz-~5Azqa8J^a% zR#y}aPgc$$F^>I2dqj)$cQhk;lK@jmM7AOiQVSAoa`D-b_tn1A{mZ;N(nAjv_US1C z7A1(i#C;RYf!AoCH%_G%QTZB)Y5UzJM_49BabFQ86PrK-p2giwc=yYm8`CRrQUE4z zU%xM$O^5i)7qLJq0#U=GSKDcI*_&BbiWW4M(FTs4L$rPKqA>EbnwIEy0vZ3Azjxko zmtH8&?d{cdVuL1~GDNH_cj>?U=Mapf4g%wIFblMVN?*_nK|W6T<7P%6+DqIqeDA-S zT;~smOctbL(FtRsPrZT>P~`>%5u|hQME^T-Xx&vCQ0r6)F((4=!M}fs-95>mR(AqAv;2Jl|lAuV~JsPGermj zcT~6CvEByn$yRuRtkmG*u`k%~W_lqP>Mdke_}f<;n8Vz*V=^SMqdtrph;eDgx%Jt` zX7PwIjma&80pH~l0>eP1Os>5GRGN!d3IpOATTQ4*qwLU|0nT1S!kq@+9D6mkM(ATh zTfCLW>}ycVE=0(QDn0NQ%ISRFB)f6_0Rm{l5t+bX%-02IRYT(nsrNp%Z_Wv!yZx=K zvJCl&?jBhA-*jQ^8)FxE1o>%bRQ2$6eJ$({6GbUt&^?!=ln0Z0%Ebc$ zj87(OD3v2jO@C?}`yRRZI^&-VoeG7)Edq~HZV+ygq5Y&B+kH0zerv1cr!)hDSD!Q8 zu`pXk?+mjnk4b-j>TxzJiu-eY6=()8%8GCT}R-*(mXQZL7LFs01so9Mf?(zol$W-_)M*u!i z*Z@}kbLvY0fPW`*lZiW9stxcW>f;9g?NswF>ISkDj39#GO%~Vy=BBwwn8>N@Oy(a7 zy6m|qya6wcz=!C(_^W?VYGV=sAK(V9a&#(;_|T=J->ga_HGen8C)9cQ0c(TEIB7Gn zLlXrWP+jsXnqG74cAOj5|vkAbAhswn+0io zH6MbsylW;v00XbO+%qe#QN+H*U`CBbW*G9l#QI?;IyU!hH%*yE2rhdQZfC!=Cl*w? zkAv?#^qJ3pR$>I;wRVAVZEQV6TEGz%db`KIv`k@qhh(Q%1ELb$!7U{9Yp1ISZ)pji zH3GnO=44Y{?I=l-wtpu)yEks!2WCUv{E9$2&F*Uq78zidkmyd+3hNnq%^Z-gZm#53 zgJPYSee#th5pS0JQG$!&|87|?-!61c`==e#agJJCWH%zySpP4+B>*Vkri=zaDtXvC zF$a=$7$sSm{^j~*m-hGv+pF*a;~lhOAZQjPFP=$_cgf|(#t}9nTe&=LuJ?X~u-Tui zUrNHvY>$@~utCj%Yr+>on+zjX_S=ZLdiiJ0`K5dA`SP9MH9Q!Z4vi)i-*UR58>i(c z7xz%Ah-hHsrOJrYxHq7EpGNZ#12C)3kj`PfddN3>K}xB4^_c4nhV=bfl5sgzV_R%w zL~|$8=b7>sN8I9lWs3eN1uKf$Je2A|*DeVt^TagB9}=KjoU+;Xi5e(?j=$==O0<+F zQ4&0!zQTSp6o_0jIRf?O3Mqi!XSb644b7O^f=Ye-zV)@B%%IBH)F)MV1WE(Ik%zrE zhoTl~?bGz7egiX7-&SSUap@pFpfuX}l^KQ0!yYPa+FA%3N>qLyp54)UH3poP=Nl1` z#1hxy^h8Pk@KK#`+wQ{)7B!nMw{o3sy>oJT6 zjWGYW{uWEEonZrUbx}GPH3>s{t8T~OT$NWc8VvLD5)7bCgJhqbOTeJmErh11gAC6# zCDQE1WyRH8S5Q3*8~e<)B_Z6R3`#e((g*Q(zAvg9xZ>^P`v>NDqIKhUNcjmW;OO znhQy@5N$kcsjVz&7K*>7+0yG)Qi|qyZ1FUfVv+~%Tk@1FWYl@i4W0zLa!3TQT$Y-) zLhl)k1^J9P)2|ZB>8U~Eh(=T(lfqPMi+&=vU*hlp@!4|qwBXl2>o^@ovZ$IO!%ust z)6{_&+~TDJ2sDkQicvBmgd5o_80( zBmQGtMq?%)2o>qerV*3UmG zK#%kW$?TSTh@v2hV89683gaM#&PC6P#O0ADiDfqa+o-8<-V8Cwo?2_>lczNYeEu~J zdB6$dtowH0Y#!xqbWl|;hP**^4lr7{!t3-pfO^{mUS1Xtu2NKAUNz}Nq5`NvoUA&G z7Mr%DEn)bDG(*B+rG{1##jT^q{skd2uGD!y*H112;MdRYq}89Ig7AKmu{gA@8F~}{ zRonn#KlVV+&Hlx_Ql6gjRH*9=L0FmvwYOD6YfMUsS;ye`9e!8v#`ZKf^DR75dyte3 z#3_M}Jt4#;YU@!JR%597y?*2Z>$xrX*=0M5NOKG^=YitRR_|}?l3s8 z?@yijd27er+mC(<19emgyu1`NC(Pi$y2TaAXGl2FF;S{r)&xX|jOaBVc1(#vSFfHb zJxcCbwj(GAF;m5e5lxtpC#!>zCn~jeKr^pJ3_Vvle;90Mn&?bNGt3s9Y#&GRh8B7{ z3O{u!TPYa#4sj;|EwBDs%jma>huk9A#)7>2$|b+828#;J>^!e4iEz(>U{>Y)*I3eQ zy(MUy@wMN@+OI*Js%~bc?jp;#oAz0S*wOWOZie8@-eJX@vgHyWb@VhpK+k$@q`Kf%YXqD6?`-IRr7;gW7!&3%n zbeF>JH zK>&^iuWB0$*)$iL!&==pncM|0?bv8&*qi|B^-OAM35kz>2O0`a3M!1O>BVev1=3{M zPTQ+nAjIc!z8LIy{D=uaguc;A70g+}*Q`;iv3^2p&#;O#!{rvYy+1aN_s{@?)-lQK zQkzQ~``m&8v2Dri{T2Fp5@vETwH$Vl(+os_H^$jD)W<-j;MHgGb4`RMWcmaHT*RSk zTdm<~&6G?+)O6RIaSiJAFDqH@Vi^({UAH%s7_O>nkGMYpAxSr$HpV5=zUXyNZe>jp zUnhuAsm5p~yQ{s!Ge}gyqogqrW{;g~j;YU1%s>k2;;`{jWj@+=qMCFYq$L9kGhyx5ntTB}`@wBwzOSlEDRr+sRT zf1%b=q9*ou+5fGML6{%8t^1M(vvCMofcmyg0qF|JuZ5j<{K(`%T4jzSa$27W2eMeCvfgG zeq>4!JhUS1P;S_03Fm>MRg1pN^pdOpZ{kIE2}h@v6>T?!XH@rT5>nb7|2{Sp4djJ6 ze1TvfcAlK3baGO=%q=yuX2k8+UXiJEFrvr-CykR^QzwaYAR7Bm(< zUW~5FI^Z1+A5{u$H>@SNbJ8%b*g=hQvRYr^PXsTIukTntpe!`f&}9E=(_aR=yt4F~ z88H5f^dR0ry%>X*MxWYJxB6-3E#o-9%i49iSPt*eZV*RI5k=8n24ScuHO^pO!qvs7 zMSh=(+2$(^K5|Q`5of`OCVva(kI?eeJC5(rd&MsAi5%^rSR&TPd^tWt87*s|e} zn8UrbwImI84{UX8=AS@+emXaSei6(6 zBWJJ2LoILU$rvKt4GahU+y~+e3=*+uCKAc|7Oj`Mzn>&g;*i-Xv8n?vKAp;-A5q7u z7i%#9NAeR=dJpTm? zcM0ix=1+4vD(s5)ScH)~e3=LG5%KBROZ)OP7KIqC4>IGF3(Q(FkLvp1kUzB3g#7%E z(0L8#t~zAY_N>8%S3vU_1|g;)5@!BU<$bEOh}1-Pv_l9zVfGCBCfS7?&V7&vkO{*sB>l_lUQG#2n1TxDW&H+nZS+g5awuy~#=kmk zYT~&g(N+sA+*F<~SQ}n6`r;sO>Z4H1xSLbD&SPEqz5QDnB^gBGy(yzLrC~}oOGCX- z?|yM(b=m>IZWZNO!=m>_+=?z0qNk;JL6`dCxgmS6a7IL1#EONVN5-!GB1OtiR`w}L z!66az2%=_oaT!1im(_%dl{TcixQUL5O&f&eLeF#v9Z;iUccX!xSU6pVjVg{aFJB#k>=rqv_oAb#R2q+5<;K$VTLaCu%(tcRVm z)PVh!7|=J$!WQsPD7YV*P+Go8EEOR_{v`Bqg=IA1XdB^F8Gq`ZI*D`YURtAB6kzj8 zU7Kb-_H3WrNMK$gNAX;(+n&+7jB!*({PbwA-N{2u2pwTV8dXxF$yDvS6htxj_zLri zeT`X7%r&u$alB}>4=UEa)VA8H?8I;sEn~MKP^kfzQSudoHi!gWkEujENv&(D;XIKc zNb1wyq@v>!=}JeuRQSB>)V~rCCb4z0MpJ6(j+X>!AW7lWNZLp`+tA!vJ)zg|ZGFZc zX>*^o1H>00-JhchhumI@@%q*U?*ktM!j+OA?c}0Fc7}@xg*!+qg-1kYyzl?}VZ7OJ zfmvk)>oRGgt7n758Z{P47?4NG%&)E>^-EXq5qkpXIqNv$sCG7t@7@5tjR6ek1cHT9 z@|FGBxIv#cVIivJ#TBa=v$b$Rc8S>-sn*Rwy0`j$XuW>#w+t^}RE$gFRq#U~uw1FB{O|V->2!jN4b)6z$M7K9F z!WV3Os^ddzM<}w?i$FwIpe;2(G~z$GXhFy2dUy%Oz*?|!hn0I}OYWYz07?N&iPl;; zLmR340=f6KMgmpjRkP$xi%)p`^O*UA7(mpv`{)@7;%<2cZAm?3gwE+IVV}v^Mjm+B zbZsgE-4Ep1^xS;*>T!S;b=uhLals4H*AT0>v?esuZQDk9FHepG3PZIkH2&6w90x_X za9kyD#2dCK87V@6U}un#*9_lT<4(bDa22Ydw0T8G-g8&f3bO%=^JEoy@JT^DVfqiP z0t^d?+N8qe5_z-aIT55GqmKM1b$A^b&bwi4E6EUDQc%Xh#gKd|V(1!_TUd}vLg+x| zI&-Z89l5x~^YGvRs`I1)xHC>gjHVqTz#kL|>riJv7wLd~JSn{gVsPfPh4kq~Dbd zCC&C1!3k;88*2Y`Ui{|U(x}q#?5C8mNg?F|4?QLe8EJl9Fk~yD3^T$$-ubH!N|$7{ z6VCv!j`vR4Ve4dK;?X>nU@JqiOx225pOPOlE;cV3*t5hlIT}*rsvhhH>b21dl@7u%SUCcJlp z34P^~x?;XO!9Fp+SKzb@b?YPz5zS%EG{AVPvQNF9%n=*FJ%XYAApz(cY-3CfsKg>Y zbFN^84zY9R8{>SBt++}eTLwm{*kYGj4re(e@65fY4n?_eySt;Vrw{NuRl5ugGD*Fwq6eFqQ_z^m9L^(fsS14}7+-+Y2x;GW+nl)`v;dg8%YO4HwPqZX1#Lnyl-f-kh zU^ELe)ycwWzD0Z1z;?xXpOp7_a+*}tW$~V{vW=!5@#9AZhKD!jRd=1?eQ0}UvhB_R z|BA7Z+5+x1S|R0=BBLire$y9Tl?+!AiVT{%dmb}HnF|Ix?|!!vwF={2w%i&`Thc4~ z7#hnV40WLj%3izRc}%FaD}$awYUss86izQrOW1UN`vO*4wybMz)*?ikRD!Tn$B-ee zKjR}x3d@s)JRbR$5)}8Riz!k=>1EpEbunHLg3-#I86M|R=SNqF7EF28;cyn&qC*~= z?DWnVMb^hJt&b>_5gj6$FwSY+1s)K=2KF9bPjd5@8753nHm z0S@@JAnQ~9Z8|1>k4M)-l^+H0)Tj|?^NWqxFyN1}4r=se)4EF*U7{ySE~Vm?`nqK2 zAp6K3pWD19l)D$6A*J3jL_Y*u9B+XBgS1x(f~c|bnsnn-lgTcwePd{9Dj1j_-r{|^ zLX3K%i!x(1MFkKWBs)bx4UN;@RT2qXYA#Iij0XK28U|bM-`S28j`6XflLTymVJz2L*>`Ge!&2_Lqwai)20?xBvY>S2xTg?Tb96P59#feL^T{QhBH6IFj+25j$6DPiMuj}N zar|gA__d6Th7K$(#EW+JMrG`p_IsCASBIIKVtl06<4D)d@T*Y?QWaxqNGC0yIR%A%lZTafziI@esO%1lI*gJ`~X+_Grz&`!_B_cM4od+V(NSEd6Y< zeFD<|v|q(ehLL-Iiy=C6b9i3vkn{g43fz21ZXc#SaKrAwqU>OsMB); zpUw^}MV}|@E|7Mu2S5rojTPefHv0ohSbxM~N9@P<82p>~}9q-=w~VfUSy=A1re zz)m`~JWbbXVezt$CY2gI?G8epCrJO#vo;k~LZjUuRcVn56%rl_QSIy2CH}>kh6lh@ z1}*u7Qdd2;7&@N%S2B1?Lt#%{%P_z&@kuBOv#l*y(p3Zoo420C`Avd$y)z|tl)-#L zI3e&$F;31siP^1I6ERb`uymRV3?o5R>!)Zm6pc_6q`d<0TY0)b#+&CF$*~K}C7!nm ztj-4rc#y{o^ovx|Pa43p(sXbQmIKM=s~{B({`@FGNc3bOT{pDFiBC=GBRm)sN7gAH z(aFj7t4hm&CWr4G{R_?|BeXyhs*g>DCO=wXAECOk*!v~^f$OXP70M-!-tu`}Zyau* zo6x4sEsAMgz4ZaE!A}bwje8F*y)j=2^#D-TQ!%66`#SSkiqXEJy_Ah&u6Iq%u5`fiA^tgJn?pJ)29v!*QG z7s3J5m|S=-zmb4XdX4*yP>h`A+oK{K`pRQt*5LH+?zLh2dl~!F|5gh}Cn1UZxa_)5Ie`Eo;nc>^^wW*!8ZCnG?ydO%)yT+wg;G{mKhRe zDOilrp&Vk1Q1T{P=v9`P(UI3-arbab-vupmlS4f8L}*V_?l{PSf3DV}72z)qVA9b* zP`Ixl#Dl-+0yapq@8CKv>JW&GOo)L#+rPm|ez%6mG_{vwNT^HFfvCG_ohl(=@?K!W zG{6x=r=6)r<=>2pr3!j_c9Mx>`>F?dCyWp*Ixpf@wK=-H9Tdya*JgW@hwx^k5rAc4 z#DP=$-AagpcnCoTt66wuNP1vE1tVNRH{xqO+iPtL1|UD1Apb2BuD}78^~$flf%zq& zVESAPM9WD>{cT|=GRxUM_)W1?GD-^%8p~O}VYC27D~c%CEPm7UGt{_d9a!jmyYj{n zCJlwlc-FM6Bf@xmJkD8%oKf> zIX`^{ABxTXMdkf8oI{49hNvhO@WAeV*l#;!Su7L^YR_G2o(ezbA)aZ|$*PFucy~@6 znxi2rh5axsgqFT>=Ohot$C zdcpnEEsj)ey}T}?BFo>VU@j9uLA+hzF+)@U6W<|)AG1%7)Gi>xT(h}IZTpYi3^^Vt z!^uX8k;Pss!CS7UVS~w`wHBTpO=hkH)%4ELp%xGh`JUYGDZ^)I=(V!e4>|Mu{8g%B zpr4Iv+4;E=Bz-h!F5?ugqNta+5h>Pe<M{;HNUu0&646)U=`yK1Q>MCjh%qde5y?5GjxQ-hVLj9)HTI(R z%n@NCN57z=SfKcqC2B`5E!O;mw$~Ek8IEV5`#0(U({*^U!R^TIX}C6`nMcgcQDsZ>8lg@% zMaE!|+ZluLfkUQyybcn-0AEeMGlO0AMKmgzE3qr+LKUut3Ie|FM1v-#gG}nX)NH~_ z-6?S4`mI&e8R^m8Di&0+L6OFjh!D4gg+`ls)2nh-V$4zl0kyw>EQsEHTvkax7!^n# z93p9j8hQ7Zj1z@@++Xn8Yp~4_QrZq8LgMC}SgR^C?ZKmcVBJ}yPOE51S~_%3C17l( z4jlMpDR6x`gNtYsYf)vFe;7JFWj<*X<=Ct9D(s<-K_UqC~IA@#nXN2575@rhgc*^q|R7^dIDd zH{!RP%}9{;p+=&k>~r41;9NCFAXA@U`n@f!24Wuf#GPqwx&DL9b4P{GCm3S;W_GI* zHSP2M4HiEHN>mwf$lGYj@kUX!&q4A8wK*2O1B-Wf&1ioa@W*)KA|Kv}r4ysiqlcaq zl?iJR^4XEAvphq4yb<`md6?lX=NCQrUq|Z#NDi#CG7gku=)u0S4w4|;pUt>HZjavM zt6yp&e_9lI#dk)T1u>}VWydm!n=CHSN2C8Nl9`|<&HrnsXtt~RSq^-457pqOJhff^ zDMkFducWwO*Jl5yfK^%V$?nJ)8hNLP;ph^ldnx)*zDLe|j)A+Gu4U+Y77>4fPkdf{ z7#IB65fdy{q42bhvCz$9S^h$77;;jmZk@vwG}`8byeLKK6mx`k)_cY^MG8PvH{K)VfPFS>*{b`>n=++c7m7;hs#6;OV}TrZUqkb z-knm|o%}TuY4T0)WjJleKFJUTe^G{2?lSv+x*vtxMVmT=-LzHt4{9=FVIG6S@=x^` zoP>iHTx$~H@*H+}7WmsMxuE%Vy%3yA0!nuN6$90=aS9EmiP5|T_z1;KLQ})uCID-i z?r4gR8tG?+^JT3C&H@sgs8l;rb6vjdv;_#*~NZjFaj;WT24cy`>+&qxA*_?N|O*h9QC9SWxq3*@w zw~)~axbi4mF?N@4g$;bK=^+oAZ;>XHG9?aq&zl>X%4xaupKcba>RZokR`Tdt4HMEt z_l!`JV|OA%*j0Z_{(UgN&D~UxO06d|tUVa+j=SCK-N+4$_pg~4-Bh*=DsD~9>3M02 zJe5?}{L^Y5ltCcp6F66IlV|}D@oH!>&v47DlFCQiVI~o~LAO?r9VTe%NiL*=VMf`% z@i>^eX{$lHNli$!)&@`0YynP+sanQ?6EE-0afoI_RHyYcdGqxKG+a!eP%&0tl0Q0c z0+qMbg?&j-8Rp6#%Un`B?)A*UwswKAe6RG|2BrPF>$Mv1cZ5kwR8rhyf({^?{BI}DeK!wQ<`4% z^_xo_y5sMq)0ld7NY{UaD$Hw+g6kOdDqhXdPgVeK4v*i#owTf{TK*gRb)nR*mCg=> zFO?IaiuM{<)}p1)Z=Hnf2=no|4o2@BdfPC_h)nBBW7WK;UL<$b&DRlbo8pt2|vhn z3F{RW=#Pj;Y~lq&NP(_VbV+a7YxgxM-~~8gBv`Lp$Deq#JDG4JxAv#Q#H!o7KNzDW z#mBJYz%fBkly4<)ls<_mZ>|X^9~&ECTsLf`TzpeQKn(0aOue&&hX&Y%tW!Ncy6&Z57KLZ%$stQ#juKm^3a#Se1SM>ezz|Wj-xw|TZsWlTWXs6H$P@#-hDkcvA|)ih=HT0+JqX1;0@Krd}I25kt-loA158oWQXb zcFz4IVFj;3QFQ0%>}ublQ`)*}(xT_RmMTs-x0s$6ZWCp zD?NbGy2cnN`ksvaj*Bq@w=oAt>f4iGB-OyXDPmTDd+)w^2aUosOc;&l)V`G?EZm6W zDLJgcA&Rz?K%;G=MzPCQmV_2NP&4AB)(T$;|~S|o&(-KU$Ud7=4~TO9><>v`Kwjw5NYaZ%JCCl z9^U^9!V!w)&uNf~t^8ytziK(wlEh*ZNg<6ae$Bu{K8XzvKR#YW^pT_Q%%9|Z(9@-K zbSPT=B6{-pdI$>;jZ9TqI3ui!+HQ0A7yzc$aV$A&?N$Q{z}+7vSG5(1$ws*WVVX1& zl|0{-y=HE4=1qLFP!Q-SrkA53>pj{GOW{6V&`Vl(Xn}49e@{bM?AMN}e$NC#px&tu zqz=Dh0j1>0(m&F?g3oqMb!}~u-c|?W42clhAuaJixRGejP*Ff4n0cS};Pc|olgZoX z9K~}gezd}bho#s4-FsDp?SQLUn!4&be_66rYrHNc<^*0GcF9!(0}>aOSgy~t0`s_F z!^TmP92Zq6V#Al)5iv&%9M+9GfG?cce_@OxOcOeez8^qaW~Akp?QaDc66kVCwcQPR zOVL(HG>l0=5>j(aYOEvyZh8ZY1dDDq)0+~IlGy$yAEOkDj8Y7bUEfw}UMp~51@Ct~ zI_7r#)3RFsu8>J&CaHgB!T2`>jP!{-`>Y$eZ+~V2OL@+kk!cRrUnTexF<~B# z%RLhlAV}=FuI%w;;9Kn`m;NMWNOE8uiiUJv_N?K4J=NHq#iZ8nlD{NGh_P)|>iP@t zT8AK|_pfF5-d;j+({ug|r_+}m+`Hv&N@Ig_q#KCgABBYr8JYHSOif6C>vH9Q)zj2V zHH&Hv@arqvR@suc4cqHu08huy-`f82bW0{Qw1QHiThGbJ1b4hO03F5Wyl=t->%H}V ze);zeW;n~8K|)xxMI1I%3Qyf;VbL{sg=byZSZ;G-CaLd`jmxwLCWR{xDR`eWyfT#F z_(2S0?5Gxnua8Wf_Fy_J`SxNb=mX@h+~zkIwsNL$GyrX;i5h-vp+dVj6&yTONbUHi zWtrq@Fx51eJ((iBvGbv0q)aQxGdxB#=6)l8G(n0NQjXE7>qALAMztgb{{Z|ZJhUhw z`>k*~qQa$aSQa+AXcBVyt+~iz*8gb~vbbu^Gf}=o%M>TkFu88+dp3;_ES=En1?C=C zgkz;gsbuJ1e60FFR>*3PR#}9jB@D~KM8_qz)!ILun z7c4N!ZYTWI5(L399mfwg-60{Z)dQ|O_#_nJ25pfp++CDeDirjc$BRIfn9$APj0fai zpQ?xik{RO&EY@PWLye2K^E=Sz$>sz^F&YZGkx8(H*JKhH9A>uRp%>9%;OY?Yb}2*c z{O0Toe8!FH`AE|ytJ%e+rOy{pW>Bp+9Y5Rdo1Z6UbrT5B16ryo!V5YoNz!S zHbv=}3!o6A22X25Ior1htb3j27&I28MR!siiSc#LpqXIqfBS#MM~J%^XpVhv17XnO zh~vpqSc}HyTUz4&LvSyFR_c;iVg^9z20X@Knxt zOPH5Mj7)6;)V1ehZtKWvpTkjCnoky)YP5)}xaPRoy^Yt%fXHTuVuca4(v92(<> zphO($3vdvlXo3JOhDul@ZcNbg%?rq8rU`CY7}=rX<2@2IxQwW|vt`??eX9QSzsInX|r<#567J$?9XE@IuVrDiMeab}J+-!5sG z<7-6di7M@95*f6Gbwo~@BX9Hr(S>f?U(VLqDqi$;gauCk_ef_L%%Fb6UC8ja374)$ zyzPX&(9V+Tb;V?qJ!#)I0n4BmXTx>fYF4B43JPYL^diI)PI%;Y%o##$J~_N?sImSz z8q!PI@r!h=i_+?={eoikZcurzS`= z18Qj6js#YMOIB9C5Bs14{tpN|Z&hi5!?*JNdsY&wc#!xv{rFM)SR28&w-WD(vaO4u z)PKRuYm6>Rw*N(I!<^eB825LngV!V_Pu?m*)Hfhr`&Dzp6|U6FNUW;(^eg(72J{cO-`bH>?Qal6u3*_vn$DhSwzU?RxgqwY z5)E2kgJ9W~Bo(|RAG{)wj5f2HJ3B!Y)01TE@V;P)ed1v8-f*Ai5Sy&@sg?TY=MsHV zn3|^3#=PhW`k{yh!V8t_k7;-M@;*F3Nt|Yon6UCBhzS;U)THuG!qvbp?fg{6wR=74 z77VN0x!6%ZYqAGX9=KBQ9#XF3uRCCoacr*+d@FksCF$iwN;@pRdE1q+MAbb-)R4qx zhiu79y0X_ovz*3U&>qm82tvQVrU{t0r+Xxu*9jWdyToW#2EuiT?*~Xktg1yfz6<01 zLLs3t)giYNR?Zto1X{rxRT7@S@dr_^M`jUhDDU?5vI~<=V21=Hi?Mnco}*#UMg_%_ zN}BfQrW13ooI?X+9y*vSJ0+5>s!})?pB}+`SFu8ipQOtnlk+YHdWVI+YSZunYtN8C zm#cIxT=RkIuWmVStBF0)apcm|0(dzJTbxmER0rgRbFfXw=W!{b!m5!NPieWd7@XCx zt5E(74>4x+j#&68&-_XpUrBR zKfE!y?|*|Vi_-?DD4A`wNvC(r9Al* zlAsycz+SG$2x6wdb1IsdWp?1T>xfo`Nlu-@W;Aq!Sh{mSsqZ0ljcml^zV4dM*TZ;( zQ_-`Sp<@*&F(0UD&Q4Q%kjDMK|3XOz49wQ?19NtX1UuK^l;Qb$w}r5PqlRGiB4G`I z`pV(bg8TS9b5qC)QgF7|v$9Vd#Ld9v@X$3ZNEj4;bbIjXwD4RQ{I?_m-1OaN;hP=_ zmO_w0v%{b|*iFrxaEnI1&1;~|`GU|DYX(&w`m5hfE4v`qhI-Tbxqgmiwhz_nKe`U- zv#5NYPyVpXez%k1{X;!QNCywo@<%m|Fu2ZSqoKxO%339AxQYS*$a?v0xBQ_*} zet2%c`cK2f$Wpl>R04sSw)xLIlf0~R`j_Fh;w6c}UR}7rhIo98@?!Mn_gVgSt)#S1 zEW0c@ujr}Y5#S6K&7dSub!uzR7RQwRR_Ck<`M_WGNeIYJuC)wOXw96j4f z;YOXOf*>KCuco)IrQVCB3|p>UL#>3OHtZgXn(?L2dDzHG+{cLKw}F7D_19q-$sC8^ zJk|%$JcO!Ld3M-Rh^LxDvKk9tLo-J+55YQA$U~$wTOT&!Z%WWrdOSt@bo z;l}$Dl*1kHti=)YI$$*u1;55w%a*aX(V**W1Qz??kofDqyn`jl#8y0hfQgoy<)L}G zEuGM~vrb7`x*miaks$l&_0#Q;VImF@0t6_FWK|;tS<4sBGx@387n2-ug?R1=4}rRf zCWHo@0Gf@+I%^hbcbKIU$X6&e@YGrb`j^6XeBwyBr2fA+Id(=T?Ri!fgM63cog(IF6D?hBFPTxKL7q?$SzJETEujZbpQ~*q@ zYQ2W801Hr3^5J2xyK7I7zJtgdWPKcr!YeII)=P|pSCg35p5E^5&ADNfR)p8F|w{q*`L(6I|<*BAY9k&0&Hx4tBeLV!3lJbjv~HSOmZQzOVNn#T{| zA9of0XUA_j?ZwN184MXJVxo~_P_y6JXO=HS(J79EeB84(vw|`Ep&RLyUag04%3{Ib z{+d>8RZh3KDA#%?&4R^Hhkz)yHx}7JvL=O2EgBpooC&vC8K*$nYQ5>!n;eP=2F3kR z92sZOTaytg389Tl#>0Y-6Os9dbt>Y?1Y?4^$TW{$n4N@s9GD2I;Vwse!S%a4Q{n+; ze%~=7R!ib&v1jM4M>l_KOC#)g%0pU-PopDen1~|Ieii!B$Rcu|_ChT2YB%VCj z@Izr)_u5BIh=GzmVdyP^Xa&wyviHn%^VF}wMY$=6ONHF61lJte6zJjIIfY?hW3)-} z>|O@GUoE1k`O6M;lCstWLNn(3Z_k(ajUW`g@cF#aZf@k{29y5M|k2@t6 zYrGyYkQEA|T(gwvu_RIED@KU8-w2#cJ}vH1NrNGw1{c?9RT~3yN9nnlQX%t*SuZa> z{aCtTp;;eKT|#m}h?XC)q!d^oQd;knn%`Lt8Ug|sEtvD$a7a=CCk<)YJ=Y)Liy@OY9AYGTwe`lB$MBzD0LcxeZ?1h z)7{gk(fWkgk;n#Iba5a*$xZvb3a_}KxAO+d`}m`@zrGUrSPNi@${e+if|Q+@V@4KU z(4Va5cK51t6@!R0$!;E*vQT}gtW z@XJMk;tx;`qd!37Ah*T^ZHifH6K^mSQ05i@`aZ4L>gaC}@sf1*q&KSM)WY>;5(P*~ zSLG*Dcw4+Stn}s#;%h^-!4p?Xbe%3iLW=DYX1@-TT?t&1U?28Pj`hkh?+3JfHDI8W z0V~Ex&xS*I;kj94R#2|e^3&PjwqR~V6p9tb#h8~e@k-+(kF&%iM^WYjSjeG+IxIY6 ztlfhQ;}+Cc+0qAGGnU>wYE=J_g>g~92=86S?@Rg&V zE?nAfhX@&zhJj8KCuiq9yhc5Xnn#UbOR&%=bm10GK8RII>HPs@Qur14Vl#W`YXXWJiO7 zhp)pkKU;1oB51_}w!niI#gl$aQcq$?4UH(EtU#imWofwwVj8qDBiy&sXn~8E2xo)Z zjUT%HmUqII#`Z7B1xgNgPPUFANS49cc3(4reJ1_58JLwolH`@^w!G3S+X@$7ha*E0 zr7VO!JPM^C#bkj(P*yNz?3XyZE7PasBa8YSon=~KIseH%;w_Pu;axAP-NsV*+)ue) zHp5ppLfLrd8r4vvKrB(<#D@<}A5VdN-by zI@U&=zU0aBHtTrQQ>!UaLhq-S+mAdB^A}SZ&5p&ILRy?Z#qccbk1J-?IYTukZKxQj z0jw4Zlx}&j2Z+&oqz`QX-uSOQ>lUkN8fKImX+=&0X|5~`Si=*fw*M=Ey)zi|`LZk^AkR)DsIke#_ z3YLlIkiReNk7QXUReI@4B%A2PD^=;N$>OMg5kzT2Sj2AnWL&eZr1fzZ%yHGO0Pd`x ze8)eQL8lsDeib$H_p#}HaUo{YB+tYlW};b zfHsx}PqY@5=x)xrE1$?h5fDPhM#9Dtyyr(3y3jpX=Chzu5VOnw=}>YySbqH=U`%z7DtI)wfFf?d+!vaOVmUQw!XG)+qP}nwr$&|ZQHhOo9DFq zwC(OWGcogc!lu6W$nt0ie0sHXRbw_^zdDILLTerjcZkk?qnq(k`Rf4 zic2zP|6*7<$FZA$oOOnWOTXdbw5j&dj0x7M4!5LfzCUp)C|f>VMB(+&I9zu6fbH`t zxdMSGlyr<1_#GMOYDOO2i^A5S!VN*&8Ja$jr;T4pzwvZAZMV}(Y-ipI;6k0| zT-7A>vcb;vh_EJFA22~m=GN`^>%BVBu9;m9p5zDP_!(*77GDr9nl|BOR=l~I?1tMw z3K?wmO>Ir>(X!Q3E9@i|?1U%!8M2{3A<~5fK86wZnvJrZ{VZFi)dPE6!9KA2$Z-6^ z49i7ViKTPmULj{;7cg?X`xlWj!mYdFS4>K$2_Y^zB(i>VpqvDdj9DI*urj4v!9bZ; z481w=O`jYgGG=K97sKQ077oL76PDAsC_O)Ue%}eo@`Wbu z)42UOA5c)y)S~@UR*e=p1KZ>}ZXYe7J>BuvhQ*;c)MyyKotyssggp)JQ1_odg@1wJ z$fq~tks$K|+HP0!TYirm%hPYltX!-jh%&D#qU2qnH}hbd7SjwjUxG(b`C)>K%obft&pQ7&>#X>tDfo)63|byMqSnrw?&uMkXZ=>}daN*2XitP?dqDWrwP;2Idb zeha|8JR^M6gUZvTdw|baW7B6a1rdeanRHeAaZ2f{E0Ek&8dBOVolqFyIvhll~+wvLDdU zRPc-v&n|JSYEzJRY!ky=ozQX=4CPygU{9n%&qhIjUER_M-;pvUE#`A3kRW%oRXv3D z`VIe+KU7IV&)zElUM*%lIeY3ZfTCq*M$mdmhJt!-`#|fG4tvhB z&PPq`a$)!biBH$3)244V9k*o`4ED#-%cK#6ry1#{JxRg#f|P-rTG9C(WvV*J#px=d z<>CO{y9V*T76w=%tA4CJHVj?6!xwo?XT7w=xccWUEQF3IyQAGgX)=2PlGFq!zn^rA z4H96?+5Wqtbc-WL=U`OCjXn4lXhv}XH9_$cgSes=^}S0aCb#q%HKG01WeFgh3K7k{az}K z;EQriT)E`scf-spZ2|Xl*=2pB8=n9i+`XrIFq~Q--7w7`c^#OIU51>}c2Yv<9&nvdv{{UBo!G8uvflrdKqi4%Q^=u zpO5iWD#=`dYPnt0;kpo0yyOq@AAQ=1^&65iG zqM-k2=k+o|U7oJ&4o_Hu^Hun~ep~zOV1t@{sJWm;=z*cw+ydScUB=)6ic??_au4a0 zt!y>~QXq)mQbGODB7hTxi1;-c=EZU-?DJxe{-m+IFX1S^REAnA^pM_`Yd|;aiWyLO zUl!)ZkLWM`t5-p)j&cr)PrSdy@5e1@S&w=D7VORMrYZ78^&X8=Y!s~ERctJI~KigaVj(6i&DRfjQ9h`F#2jjS0 zf%>eJ4uePECi%^^qdWT3=l;0g;W9;MoZ3OVNt0-xPcQ5%OYJR_kMS=8Di*+Sus+U} z$3Sa$9lz<1t5HcCiaISI-`I$Hc1H%tbq8h!8O2xb%~xg>k&bbTxEo+U5#K4!ziYiU z`(00_@rM=EnU_|*@}p``8i?W;ng&5gV?brMw4i&72IYC4hS;0ZGf+aOFvOCn!ImH8 zSx89|&CfyVsNm{ks!MMCas@q#!Z>x!4@i!^&d@}!EH8n9CtIw{5}rn|jEHg(hmI1? z+|m8?+jLvgZQrO|(o}Ko$(|E^|ES@ZBWV%MsnJbe8z^l?mxPC{fMr{Mb(4c2#+l~K zY8`lTIjo+OdHmL7LplSz4km+e*M@7RKooBMDef;U@HFP3pNM7b3{z|Wd zZjNiE5LT(hDOBpz`Ws03X&NEDE~Bmdc}P@q}&SlxXBJ zm{nB3M2nT{a5NFJwvCJ(D3kK|wB5xiYRCNr+XUuj)O09-C7hkP)V_oCdWxhR=?9N| zkLu7mh;L*1m>R-w0J2qOGH|+`Z(tS+VDzem_fVNR}bu<_$NU%bGa(w|NqD5pj!D zq9mb^_!HK@_Jn9R=u!$DZp!;X%@&6_LgZ^r&?YwuO@rG1ueII6gL@=|(EErc90tY{ z41q_(-VKc~#w@(OqP(yc->;;%$pks6SFQpeYA81CTN#df$AkvNbj{`(WT9uliNGiY zgJGLIsU$;7P(#$Ne&LjagJ&>1t!iI39=&QT_FBZ?MRvGmC=>)xijoWxK^u1`XwWki zRKEpi{v*y5qRL(19J{vq%mQVg&K&45MR6JR2O0Fi0JGHb03_Bb>nBSlp~u@Yxg$Xi zMx*$&#aUkzcT`0!E~AjLwtv&BdnV5Z6)TIo^!Y-{(rmo#)5l1I6xug4ig~*m(oIm# zkBD`=DhfxXN|BN12x3!2-ax++V$qB1=a?4T%O`i!;N!aM_^mcYHQZ6)%*U-NONSlD z32E+81JB*kr;&-e2HTz9f{0=9yy&C0e+7*Rg!7-oUCHWB#4F7Cap*n<>K_UlRG0~% zSFuCkTov0#hV1I}S{ML_1F`t_w60!Kx%gRbeB!Vod?h19P2v3(N!e@#?yOhsy^{=7 z{j9maDxW}VYU$Qdqr_(VDr_}JqhKy)+UztHfi7rS8 z>lznr!TmWeDsQT%iE(!7U&;7I@-wc-vtKB>JJm#=GK)ZU+{HXNl^sD; zS&LV^ssc1Thcz&h0ANcPp8AUv7>RXcOs4ChecLVgD=gNYEC=hnhy`hd;Q)Rk>5h}o zt2Leuie}P#?VPgh^X;>RSM}k_K1Gv})^e-uE<)&Rg#{fU?t7Bf7s(`CgSSr* zIUsYE$f1!>?@6+@+6ru^*4-ExG#IH=E z+XlvGj)ICuO*^FS`)hjfhV`S&l9lNp1B47jg%pVpro~deM~@TOL?sdNBY8gRUfIjP z^LfGdV62)1q68AfJF;I(jP^aL==l8G1c)U>awY0RwMpBOjC-|o|DhmSFo^Mn!A2hhip48HM#jzJTOMe+lvy0@btb`^ z$oV=nJ{~$v3Z305U-c8Yk@t6~%4KxFC#q7OeGSHeXX6g-9d! zc8L%iMixFHm>D5zkn8McZSOu7r6aqUU%QZKCKVeK)DoWl8vKX=WfFz({%#cNvSe58 z>tjZBB55$}SS$-uOFzc@X`s#rlwAY|u1Mp(!UV&~B>MP0Pi4r+*J|$u#3l!iH{L;0 zP17<~y@OIzxrr^%L2VBnOZ=IzErd6Li@_$X**>wsvgz14jhA!h5sEO2;8LU6~$#wYAaqf750^9MXT=8~`sLAt}N7}0&hUDV!x zsU+7GVW#L6Xrm`{JE)zym>n01`U!CeWCZDvCj1pNWCrSzRUkPf9b{P}|<137qtNHg$1Jp~L{M*|pm_`4gipN8Ji z-_B41WK5RnU*YjRLD>jJAxI80Yy*MN2gi$>N`$)`~&R^8nd%ClT7PBSNBY-l1+e7S zOiRl3E2>E8c_*@DO$@J6qXwDi^%XAc0wdg2O5-7qwXZjgC={yiSA3-a#~6Xy(i{cf zh?*CEpxERxOg@s3)0l2}5kkeS=iw(9ly4y^e013zGPvieLA4bDfmZpuv^>cy0nZ3N zMCdV#+hn(N*Wo>-KWL?hh)~E~lD?UycS39!WvF5N!hY7v`}Dc14EIx;*xSUA0(xJW z{QcJRXISI*X)Essu=Aup%_ZhVA904Z{I<`x0jNtXy?-xmxocTbH{vUy}{ zFt=8#7cn2?P9LY5u!@)4v)w#OEy8yE*=yf1%qrA{8~PNJCO*>bg@}83&Ou=^wG~a_ z6lk|hT>~xq?PTIeXf&fMCZV_`jF))@8)JfC_I(;{2NXDQ4%L&35qilEUUnJSfF`lT zM-&81=*VEKdU9kLeLS=5>#Rr1XV|wvv6?>T(GbnShzk#PAw>Xg!#Mmz%cYz~F^2T4 zTT3EEiKYOf(J*m<~|gS(zDbu6#mon>9~{B;g2yIjr))PBspF%V5< z&e(4yO#v=>8xhyjST!DljqluMvSrW(cD|4?6iKLjtz|#mPteENjX4+&NX&^k4u&M8 zS;Pq+s*apjC6R+kx_b=_0@bW*A|oQm$PARk3>y{%xkWv5QR`XTwicZ!hH(7(0blAq zf89RtQhK8}MxOrLxDu#ZCKYO7b8gb`6Q_Im0pIT`M6Qkc;m8BjhCfiz1KVd5h!CZJ zW{%WIBH}+zO6kD#i(sqALOWMr&#&#HsT0rd;OFP*dMrxOKN$4og>rcLA0v2vT;q)m z5Y!#aL8NKPoM@-TU|EnHre~ZOH-1lW;UTpfeHM|zK%4=*j%V&PzuPgltt29|rg#x( zFsdr%{jh_qeTVKiW1N*p>{x?f#V16y3KgaCVs(ONMJYKj-(0E`h2*iva<4l=Ks`Wr z!E+6!ci0kK(Cceol<+`|`!NZLd8q(?ke9UNrAe}_{RXl5RRnvFG8P5>pmiZYlsWcOm~R?1;)6#0ldvPi3nIK1fG2Ob5_b zFxfs)Gd&%2jN)x5`Su2W{?V0jJj3OBGseZ8x%5Sal~1#EJKB;jmcV=rGB_tk9q z36ZN^I5h8F7n4~8;UBru!`gRYF#7WkELp@@l1EOL>HW-LEg(XU|ESya7eT6gc@Db2 zAxL;p>A+UkYz?E+kfP4>xrsdt_&fV@OddG?UN#}lJN)SmyWG{lC)=A7tCK-3`fnf+ z-=7|Qv-RmFt}q-Y96YVPGxelL!Yore3cF}fHgK{7iF5c%3@X&?=Sw(JC_H*awgl24 z!Q%q=Qc%m;b%WrlJ~zyBD$?Yz@A0>(&B>j{jNjcU>{?=4v zKk`?K-}1}|n2&9}@moc42pINqJV(-f&Oe6ji|3l>tGzz`=8Gji_1aeN5+T)&1XMy_ z@422yH4ghxsD(G(=SPbp%YJ5k`*j10xbtRPdT>6>9SKgIZJZP!9aG2v3f@@A`7M%h zdAPxaT|H81f2_-5iZB(BSzW*qQTy9$N4znv&T!un0A-pK!#jkmE(`r-9WoaXbwuA9ZNLXJb+)R_o*TVprcU zVbxa(We;$}${&*y$e6U_fb-M~kShH2HIL;K=!?{zwLkka90+YuwzjZp2Po%aNT=<} zJ|f=L`A@dgYJu^n2g|MH9AU7?O@T)Y#>Q*9F1fXGmsi20P{kGK7UBu7~ER zgoYEL{UI{FNhYN+Rx&764M`$gLNSV)w4lrI?X-)NxTHH8v-&H2J9f92TJct(5-QW(n}+93y8xNNXM+|S>CTwBe5k{7f51B1fgoyaI%ROg5^FlVjCBNprbVxF zy33dnO`a~_E1wM2#>TQ6f;z|+AaZ|1S<5kv3JxxJ{P?f;56GBUEaCR|p~X~+fjApk zkV+J)zCH%;E*gB4(=OGBme{H?$h(}}^u`3v%(D>TxO;H>I#c9Vjm~m+}u81s^Ql zf(7jG(VabGJXHhAYtNbW-+ooNxlK8wg#o+`8cH#Om@pu|>dy~;zEX$Vc-^($vxRl@ zOkuOP!dYa;DJ|x_m@{g_4|T5hIwEr2(S7qf_s*R#xMQ&lAfV33t~JEwR$t`4^O7g9 zLwy6F*%1q>t^Q?TZ$bDVAz0*@1Lrm%Y80x&LOT*Y$yZ6oGaBG5MRPO`TY4YFfR_yB zTa+xsu4F*toXbNFq#qAs>zrO2aXut)U~lYDQwUnjzxw@e zv3MbR<{8e1xj*@4jBCVO{Hx2h`Oy!>NJ67B|oVS#hr`aTRp;}I`GvW_GzdF zH!^hBSu7!s9ae}l{F2a1KE$J*sR29Au6S`YWb*f#NA>^b1oIxw=rd(`YR?KOQ7^Zk1kz-?y%Ae^D#0mUXuRJ+vWZqk zmr5d`?dkG(4v@9=PK*u6vj0FB&ZQ75ZsSh~lC~sM#PNVCJ~wMLZiL!MM1j{6rkar% zTy9h5prz&!q3(n80TVuIAKjY|HC^=mN*Plda0;9SVW~yRhP`08ngmog-drU z{kfWpPD5Y1qFJ$zvJ7aOsXUv416F+vENWOA@e$SHDMAt+~MCufeh= z76TO5=JAeU=dSID%>P1S$Nr6(wdK|yP3%;1y3n_|(FgGdZX1_;0VLFnN}Emjij+u* zBJhGuV;f)qqw#rRY}^L(!?FnEC_T2+;3!#yyl!K9%V?$fY5-}UnR`SwvFuTuZgD^a zvZT%5nQfIxBKh~FPfAMTFd;nvZJBfOnN6WC^s*5B7)5XZd71+7IjazBE(XgZ7 z=~+Cb9S%DvR({@awu^azQdO$kTY!hoReT$<^~sv6<=5aPg@ozy=<0ht@2)f0>f-(7 zV);zY_ku}M(JV`1W>spvcef`hxhJR|erh`dRr2%AL4tNt+=gQurKZ+| zBla6ygR835Vx5aEwo}N#J}dvSOPFpw`$>qFDJc!`tHUa z?5N8G?QsPJ_Nwu4E+Y9KLFO039yA{M{?H6K@^mk2yZGLdS0tfewK|nI!1pT+ytPpJ zu+Zk%wRm!T#^*4f!0bl!_ziCK+P`HJUm zOgEPqx0Kcj`rXa|i|fsu#@=aYzZw5(LNj(k2O{G^=S92B>*>rb0pJ!$jNztKju$=STe+?jnC#~@!JjTs)E=_&yXum6 zSLj%Vb~Dub5k<8$TPS@Y2?~_#6u5eL^PgjayKrBLUzDfhyUp2yij-4we|h9I)wS3}_^ z?}a12c#-R&|0J65^+I)E#k+Cw?k@CfL!vNhEUO1U{!aesT+#?rmWQhP;Yn{-YP z#0)F0FS1XHYg7cP_IR@{kSaoTt~#z1LC6+4jE`voA5cl|>v$!ckvn?yZaSKaO-T=7 z$hq}yKQ>Ya!>#~R!?)`6^bitR+j@(lt8d+^tSbZ&z*)6-{%~>lioCqML3pmN4b6`VQh{mMnuJw7y}d(wXUTD*XxuJcVV8Xj#zLfu$8kIWi|4!!VuuI zst5ztHlpn>`8YPH16(J;>zeVKV9FK0Gs761*7W$D@>rbU!qDVyV>@wnMCtEAlv5gQ zINqzCUa^qi_EVQ@kv#_lM=47=$do`L!}@1}X#j+DJ&dXkDV!v#$<5Te&wbA&_589I zdVlfL-FMBX!!}M(bBvLYmc2}Tv;S#@Ebp9pCDb0oZ?+Vs2f&a z*VE1^xWp}N=^+ban{et+lq`Y4AiEj=H5VmGh}7PUvj|JlPsz=hVwtC{x!pCk<>55f zLSiX(DGEM{$;KrEaLqlgG}*R|HnCwfa|>(bn7L?C;Hl!oAZImgqKmAKf07E?C*f(- z*(AGyroz@XFo}0Ff^6`BlxQwRQDl+35pij>;e-xi#tQe1)`9gZiQ1-h?_mcCc!>pp zkVQ9qLvbr-+=Gf;A@6<-&O`T5iR!Ed-E=(mF0v9B>i)~003`bgN0gUps_SPrqhgEI zPDHj~e{>CCm40oqUQC;6A$ST=mGT~>dfjonFA?;qbXuNYv=zZeXza7dCG^J!;Yv4~ z$-hjp5W1J@DJ_i0xJt=Yh_9{7Y&gzI#CFRqF)%MfY?>YVsTu_aOWf@_-*CW`XvKTa z(6mAECf1PoQ2<$@GkO0eym|064A)!$ryvVDVM2<@ZUPLV;qJNu%$>~ak6lmjdnN-& zVJCUX>x(B_E)}aYd}SuQn$H=9lr|885oWuBxSn5*I`OMHZ{Eqv?{`Cq0qQb%?7=h+ zy}QPPEN*luS$LQ~0LzBAVTS9VzSD04CvR91wt{G$<0}4x^(7RZfMSPj?AW=G13bMc zaV{Gk?RE*e(HCzTFt$aoJw)(A%AGG2Fs`{>9vNl+114R*5P}Ahf1-BpOoK<7rts!+ zJ+7hLJgBl@sX3X#Pk|q8@?UQMNC%8$og8_H>3bq(UJ<>@HYq8fE4v}K{|+?QccncL z_XGsW?_F#aI1NHw0_aGGrt=Lj1q^jho#|R+1W9g*L61PqVJVolhE%;=AeS6yjgQ*H zT8LvFtpp(m?ii7wUjo(8nYxD*;2P4-EqQK2C|8qyWKp9*q^6{yc`M`@Fk*7{;*Vm7 z$Ize|OG>wU7ndgpIDTK@+J`*dQ))XAyHGlq2fE7^Wj15IJX5< zOzxA#V~Zck{G~9}EQ$L-9qTlwKEoapIxT^(IXWUk%_U>;S}LU%Q{qCu~U zNxre0#;lQe9#zVTKBTN{)mQjHBAnctk0Z`P*_M*|Y&np?rd6;QgR$hAY;lR*E8?Wc z-`KcB@+p#qRrP>R9+1eWj z@im%+d!fU?WY^MC!){2pR7WetKahYC2&+M{x~0Dd)591;m#Er9PjkD!&my8*C8tx| zL$ctVBHXu?lxBsxABeEuv$>&7Ry`?Q0H~; z+6Po=jBD*CBdrkL$(2{mB7)ebZ2VdjQQexlc&zs=K6rj0B)}@>Hl_Q8fFn(-5RVl@ zPIhyl2w_CuTWCZ3z&mCpY0>%Y(Yq9ms2rFa1BK!cY_mhX1}Z@w`cAeNZS~wUG#7ll zS!e{wfOV(D{(u6eBI0f{rVWb=6-)3P;x;8Tp8KGV@D@ zU%MR&&Yy{3|2Z{;{yXXN64SwZ41>f4UZHs7?^e>sI16^`q(thvuIgWw-KI1* zQ_y=%scOr}I!6E-7<}VY?0*trcvRHZW;@HC+L`E^YB=l9oZL=R`u4u{a6=bOFoxG^ zos`B+H>?SR#T7DpysIw~UN`oWQHf+mq1PmLV~;tkaWMZ0|4;GzPyQv#juJxAv(X%B zwv^$E(iqbM!-X0~7X8?zqgajw7Bc9EmG@mGbTSDHwqyI0nX)+S@M?W1v3Cqf7x&rz zUIdLhN-TYF6Nx5+mLq<+3ap;MCyXS!gRBlC^#D%Z?DWQ1G#*%KPyl=DhPOAOu-!T$oDWruKLnch=0jv%d_c@(?misKe*-r2cF)^8b`uEL73M z&JjF)xK0q=OAZ$NfirqQQ(C6dKy9+-&kPF zegW^I#P5;~&p}*>(97Glpcs-Td}%K`z=bM~#co%pBzsS!8`?KW%1|*G;TD|Clp<%L z1ByL&`m=)MCbc4l=)OZkRYebO03MF~Zj0Z>)^`=iW--vN*Oc{uR1YeAr+W`iomA?> z0?XSg{ug(8lObB9-oMef?ey>2vp)$m%UEPH$aS2bHHi_J&ux>KHlLe|aP98(V>!iH zq6DK@LsisrjiJ&44}JA6K#?m)jHb=mDgY`d{*9klQB2WK$p-4$D;-R^AH;VJE-zYo zQc^ofaGi%>tYBKA$T`N8+rXmPDA(z_gCbNi&~N4t3KIIywg~K0rSl=?#^K5?z-kKE zBa-5)5;PvT8n%aIsZu)z#?93SwX@mrnjaISvG_og6Y0aq0;%>BS57Wb%>>p3KafSz z6g;rkb<&;_zq@^@`ILs-9711KT4Y^NrZ7kG-FaTFDl$2Q@0?b4z0(hvV+LOX@Skd8 z{=Z-G|LOB@%za7g>6QxQ2FC>T)|x?S6tGYM@>F0Qsxw{^X;X*~3yu35>4=*+s5(&N zXdM&QLs1%!^=G`h z_@&tz-R%J&+g5L@iQS()-w9bA{hc5=GJdPj`n}i zF#p5bNKiTpc+lshYpyq9IbkB&Ix=A2FBXon@1UiIkY5#pjI(QvOehuc-&~6u078Ip zbn+5vY9<*M*7B1yvwxWXe}8}ehY$Y031Car$!-F@MJ4yxN>q8}`^qU+C6lBWx7vW9 zAbu0wK}yarpV(~k!r)H~)LOC^}|cI_5i>q^CYv&_9wwHCu@~ab`v47jM?KfqQnkSuIWRpX@E6t~@WGiw%N( zIuICd?(s)gto7)e%Ywp=+5@vl=&AmbeGeXmvOPWmr;%MRv)K;g?GlYPunby7jE&w= z#BY}w(*I;XN7hGemHjD%dPtfNDYI!Z5s+~Uh-2+{UVAd&9g3xcj12#X3M+w{;Q}CN ziH7I^EgF+mHyZc^Xv^lLwbzCqW#rXIyk77zC_U(J{@x^Np~BPDZfE~qnDc3JQARcf z&c2nJ&~wqYmU{tV!}tS@cB>aS8;=)7V8?teb0Y7GZXaKxZ8*iBU|0e~Z^T$8Kc;Vu zatOl6B{jb56E>CH}7?dn0PhfiW)#MQs=idK{2# zC_r2H##9&{b74g9M=F`Pup#@|j0&L)K1}!*ZN^xr!gOHkld^t}ZVopT7zU`T+V)O9 zkR*~O1<<}6yuMGfZ{)-2)-C#~3S??5Xvdg?V(DUsuno8Y_RSp}`4m={bNo5AJ|5~G zRqw1HdoMMIXNmeam^aj4^lmo6&7jCO-R1Wid2o>yq|9e{r)_wy(H70yBmJ@rpj+DY zg0j|v!xlu&2@x3E38jDr9gC!H1#H5hnUN_}>I*&IWHNL~c)t5Vvj#zk^mm`bSUDQ^ z5{LqFAhB;2Fp1+sl-d(XRtLriYowT=L8i>x^bEVu5rz>rDY3%@Bp|2TKe<#FA09g; z0!fN$Tz?{|z`X1SU!xts%&CqzJ)uG8gQoV z&(cj-fWtD~FmN7HYxN`|M0Om2u@T;sCIBRG7&*RG*sw(j$L~dPy)d3gt4^$f9!bu& zjcWReJng8QvGz-V$)bdovYOY)QPalfSUQ!X{2%ophu<6S#K8*zltpq9$ z&VI2FN;rxII)(&T1dRU{x0pW=RFqHlYeRC6Oe2vC=Ouxx(YzfJJk%Fn`K^9~X%~&J zky9lZeG3NDs=O^?E86;(yf6N?rTym-JN8-bpvqT_4X6ooCD)(f5 zzVhXtx#)QfmD4mtE-zs@Swx-Ihk>$%BA1h~$Zx8Xlo5t|y)82#63Aaq?e9X%2`i@p-=UxbXjRhRM*6z|Y;NX_sbIUqfKK-j#}8DL8vdf>FH4 z=wz?d!eg@6GQe-sy+Xk*SAfU1eO-4q;joHC%7{2;!fFY`0s%`dK+PyPTH*4UoJRd- z`sBb5?nTSOCd_s^DiWe^_cN3b#X#4;67;+4zXs!7#dqfPz>G zUw6RFi^Q^y!Nf}VC}fM?RV!MDNLpf?Ahh}!$48jZ#?K+%n@5BIjj9*TkAKF4Djatt ziuTXIL>R0J-XKHzp8mtmqzS7R?e-@Wc(@#Wr36u>-SPptnPdMM$POLscDxR)PEX-W z_8J@u4B**U_uC0H`3*kbH{0)O&kdi1TcZWn0@qEb9o9XQ==ZJyz#K@uiYq-RY(-lJX2U;re{x*shVz{LNOYJw6BNl2DsP4_0@D8L^!Ca{*Es zxAgU!#TyMJjRy4&&m|X`&;@#;&n3be$>7%OuOM5MglD}M>Jn^BN!3O>vfq*)y0)v8 zVf1$sKZ?#n*G9kR7lg$zz!MnyLFh?lP64(JGiA^J4{hhkZSwTWmw_bTi zhXkL?0S~q(@Z<6U&S0{DFaN^?=WS{o7&(%jNGSPp?7vNE8#u-x+M|T)i_j!ML#G^2_vb8xR;mvDPj!l0WDypWan$gX!^5ax^&Ob}v zxRD>>ebR3WDz>qjH4 z?#(IYELv&k)!zc7cp8k-1L!N{^n6YXFd4w<_inpF9{^8p*)0e3mI0<<6ylNm8zi?Y zhf>+1Dg{0fQhT$i!%ZQi$NL^34|suI^!ccFUxc<*Y%}?x@n!RMk37|t7L{Q7`=X){ zl&AM?sJQFSJKf=~^S4d{H}(VptE&dCmW+)nV6%8R3T49t;CsVEl2VxXx9TZzyhhr3 zgPeBRTZap5+G7LUKr4e}Py*WsKFVy!#?94vd5SH1G03#Ve0Ic?QZ&ZwCwh7)MrM?b zA~-)6bfL~F6INhb3qveFq|Prbr9=^So*=g++S)9v?Tt1S!<`So;m)Exr#sEOqKQBvOxY10cXqC`{I(>1QLKMQyP{(GQ$3q z!sXJ1n3G_@cU1=mLR=ZWy^>|7_}4qA zkZ7&=V=i%~a&!bQ-<+zU(=VeR?K@+vvsNs7=TBI?C{DqMfMUf-`QZl7Y8To2KQ?7A z#aUOi*kMW-vi%|__$UbO_#jLi@rF=aYjy32oUd>J;~O}O9XDh47SSP>US360)ZgLwMmeNen!aX!W0@K3 zw}DZ)@Ta{>W+Cf;V{dwa9;OT?f zjidVnBpva_95*TP!Ac|g!1WgKcCBc2-}C!VIWh~eh@}?J;9Py{9Ki%ccjTDq(Ha6- zjbzsBk9C#^U|ikTRAMbMpFT65{Cvk1P4S>Vg)%kqTXt&iSc1}{C&=u z>|s3=w~bv4hx_XFbw)YFGuHmniBMWmA=B$0R(E(qV=;wa&&i$ZrxuA>>aT3qTdMcP zNrN;E6|VbhFBqXwCtx#bE;5`2i*-ClPAEfZ1{E#aaf$Iy6Z4fAT+>vO$Q_MWNsNz- zn_{-!mOg?%7)Wm`O-sdG36)L|ZT`I*gvsf++eNxX5aQl=nIc0$i8?A0)RBNClG#ia3S=CO&cKQuKD)NCzNT8X;VDN((xJzYe$YLc+wgn zmRgS>(X4}6Xk7ZSx(L~HNjX?`)q#D~hr1E9AAtQI{J)D&#n1kqK~@y#U$1%|!3*1W z^8hx`x-p$j;P8?ZH3BNQ{}$&eSi0Zh(vqj4bnRhxdweQh@#FAkdsTQPb;~6tp=0pO zde_#ByOm7w3q>8QE{&fVXqu8^$Wr=_cN|Uds{l5lP4FE19+8O4J7n$ZStk4;byx2| zXfoH}X)-<>GKT(daqoq0Qn&-^1jHjy80BM)=KIZ(Q);~n5Uw+k@6L=ug#Q*F)W1;i zf2xG@Tu_{V_sP}jthw8CR@;`@AcGj^))~h)yT5Fhpp(Eon$UQy`Cxz95G-QFHeB1S z;;|W>F%qUyw6C<5eQjMLV4^NO#l@a}!<-k{UWh>D_H0M77$(J956%=FF;1elY)~F1 zsu0->W8_k6%TfMwatO;u<^hA=0)wA2%)ZwvwdhX7V?@26I`6@La%hl4pMZ%t0fC%>C&>5}SWRK?n#`|K6wrho?2KwBc|})RBf-PtrKN z{l2D5bH&8EZFM|+b~5E;!9@(2r8us}y}uPcZF5AJ=hxkww5l2qbBGhrWq;X7(ks~S zX7ScO2?uEGA>|5(nfj5nE>DNt#DP^LPzis?GcuK~JKUvoK=E}G_f_NN)Uyrglp|w0 zq|2KX4X0TWB+C8K;;wT@>Y|hy1uUhX#4RfvtK*`RG2;{|)xAzA4Ph!~&&my59nBzV zN&1uUpiL-4+Vi_BlXomM3Yb4%J@ZDZl}P-R7;;?5V%1p6>Rhx-^V5x3=gY5+VzA8; zeXnKPTHZTRy+7aAbg)NzbtVdSNKD$lPFAAGa^!ti|j({J*kw}?H?6yt(P~g zFp3=1Qe#gy)Nq`Gd!Wn`J#1W@So8F%W^cb<8(GL*w!1jhSa&$jEdQT$>IV?W2M{3? N925i?;=ft%{{oeCXzBm} literal 166609 zcmeFaeVpAzb;p12-OcW1pAwSnk_}5(lZZDVgor6njJRS%M8t@Qh>=D_L_~~{q=*q$ z#E29j#fTANOqcK=BBn?wQi>^3Op#)WDW#NRiijyijEIzS$MyIAd}ikEH`$xt@Adlq zorN=*&pBt#oOz!4KHXBSG?D*H`L8t)8!DB`O|{Y>(WcN0E;os>Wde-W&=wUcwbD{6 zbV{L8DpzV7(JhS&Sc{C29e<2}W%%i@HB5==%eB$~yxuTX>g7_oT-%N*GU$&AElSZF z1|)7Nm8uyeEFMG1CoF}ygz?rnybBsgJ*;pzk@?lQbQ!ToA@ty;J;F(%grBID}Bm{OY` z8P_C6Pi-(Vu1$>I+TzIAkQn>dmPW>KVoa?qi;No+qpvm;8Mh?HwAz};xGgabsBMgl z+Y_U|wmCBHOpF6-TO#A`#F$>&78&;@#zD0mk#S#Qj2m=WA4srevEhRWwk|b%IKj$9 z!$%UFRGTPcP2o{7n(1%!E_DxM8Xp!42_sa0(BODn`m?MLry6z$w=){`R}D``*z5sb z4Lc(&mj*0-F2bhLd_x*fY1>MJ^yO-JA;R$`3IcpF!bu+V)$nqJlS|8-mRUn-r<8^a z@kOwww8pSG!rszG!?p~`G#{7Y#a30otNPF#fI|}oV3)+3lf~X%LTU<2 z1o6Ke?Q&B%Bf*XcmnNu*vD_NY1QKZh(Us1YP*dH=rGFSRFZP9VC2lX3yOg#soR?td zL|`SHFIXyf#EdIpS;Sqmjk8(~9?fc{q@Gnv&B*)0MPgvw*80M#1YL^0aIs)#sXSpm zCVB%I4V5R?QS*P9^w8P+DPw+ zaH%R+M# zjHd92v!D+vhrX~~kR`i!zNL>P>Hcx;Y6?#z#?-i~^oJcVNI6X#r7ceLv{a_S8U*%) zol&8>6s;BESqb~-Gy_xvC463ZG83Fe23`LJVP>$@*I!J~BcU2z5^SS3euHu~yb|H0 z($5V?BAizGDX=M2DpIB{M<$NxPYm!DiK#l(3su`D*sh9Mr>boVonqi=AFwVJyPok1A=l) zb6O?L5-gRc-tt}iIaeL`_*XSZa_1$JI z?(0LwvzuezHCBx>6JmZiu;+{kDltLEvnw%yu@caKoZ!Tqpd}{Acy>!nV5|g;I47V^ zVh(LFLB_M&Vgh3&=yrk?;S?pnKNcXhUU_CX)to%_uL!3JW50_5!sLd|ig3DknCRA^ zN$HlD$IRe?Ff%L_W&w$n*A&haR=7#GeKWKg#^1G~bxf*`kDQ#jAC6#KxqaDG;9 zL%A(1&&uoE4i^ZjXQyh-I9IE2u^s5YF#$7}8ZP5J6pTl!bwyaE1iRJJ#o}~PIQcCtL7sUa&AmH$*%>wq+%3j5tjVy&icuJ&H-l9HBM*%^vN2QLV(roP%s7|NxL6^#=8=h7J$OZQ+-kV=_7x&fE&aY2>t zLKo+WEFE-lc4R3_I#a<@f|?!%NJ3LTZOn@3%D6r}ljPNj8f)LI6 ztP&I#SYa)&-DIx?R+ysZ1vbHMD!a@AD_B@yBa92|rZ8fN-cQTp%B8F7c=pKrJr;{H z(WNYZ6tgU9ILl~~ zEPtddn?ifaaxYtzZi#6#DYFPq6!aS2s)e>EOo5^1Q?MfRO3YC0OkHZKF@3;e^ZGC? z$#a*=ICm*yl_w7Oabda=sDBTVTUVGNs1Ecwvf~OAP??Whu}AH|>mvyfR%8iAOkd>0yl*Rn!`Gon21RYa&19k7U^Kw7B&cXlDc-@ zI22ZdVJF~pECkOiGgv_#W%S@%lC#?iFV3VukQtGUK>9uZeOMJ#NOD!hI=0mj=M0;eJ76 z9V0_yI!o!uur-S{QC7l3g3~FU-R%kw+Zc6r5aOQj2oS5)+Ekn`Umvzhtah0j7vGF$ z&yDS3JnCFqcuWa=K5vf2e?kluU&W=mb_ip;J6=#_y*C4u3CQUh&qUl2C%C4tGbQl# zf}Zd!P#!W==vL23$iy*TrCSho8IqZ7k=cvFS_nqcHt~;Yv-nqD5MGjae0hRth{cl@`7-%lxYxm8nz^Jgw-pmu~%d~yBd3iu}U7-&(1JU38n*U%j7#} z?37<^5&7fJ0x7Uac506{E*vFD;?|K}WBj3=7D_ysE~Apu?1RGN%dHWQ3yX~DW3tv1 zju#{wohxa^69ikyZ2`CvPO@}#JT4Y4jK_>~vl^>#)Sk_sk`koxc&Z?>3600&=~)~b z@eIKZdX=5)3QKLQ-0Jbz6wVUFYtI#J;cP=TLdUz-&Pmbb+BO~*IsE>y5a9C+PIsh`xHDx^74VuD5DZvEF&djw+ z(4({A%r%t7v8FB+WZM(#qARQxo`7$fxrV~!f{dmE$8;IZ>iywL$gx&d&o%*2gXvF(vdygA4AV-uv)nA{Mu}5K^ki4)+Jt^GHIH;Ya8f^eju&3(-?o_CE7}OE-FxBDRhSCWBN|t25Sm0B>k4CzaqRO2KCW8Q3Y%Y zuOtOuAsiQiV5{u=4tQHAjk5!tr7yU;D}w!$UtJUbTB5i=4y3-&CQK*t#N8L#6YS8= zsV{UU*g0U>ouF@a92q7G($BjZENKjbDM>tj%c2{U;2lHK7+Ja#INrCad-k=+qapC{PnaFlQtSFXJmVjYXPCsuZII7YYw zxyM~|I99k5>>2VFOsqx@}lo6-fHcJfCe8WcZ4B^6-Amh9xFdkhC+QXSj;4J}nOSDR# zoigYJF-4st$c`hHbwyy)&i0-;!xJXE1_mZ~JHj&Yz5RuyKY8gtwNX=8p3HVKb1j*2wS4C=mZVMMV6;RvEN>~+P50@yxJ>g<7k?H^emu@XBl{@i@YQ02I z+t;ZmuL!FJxm*_=*UAzdzuan^e$ylvijyGqab>dVNn$9h5v2T6qB{GcLOHprwN`Q( zV1F_Nu1j#L&NcmEJrL*mMpw2CQqawv1_PVD!A6OD%YEF&;;%Vu5*`oMnVe(L&BE5qVY9UvSE}?%xLpv}oEUsZ#Ic`q{J&F}QLhrQLAxu8+e@zj_Jq5E zM5@aO`ocXDl2g}wlq+FN)UBJoFXBlaLS%J+#OcycZ+JkM`OjHZ!qzCR-(z^txa9jc zH0484+~MbBc~=z2YGx5MOhxYtFAD0q z%4S#lO9{4ZG<-S1@oNlUNpOPRc;+Ot7*A*c;f*4AIc}s>(z`1fKiHg-L>}@g237Rk>U>6hkwK z7Ja(TRN;O`vUe3L!ZcxK(=Klc`oeU}(I+*1enx`*a*dTt5Nq8Hnx1K^n#6lsIOj;N zse3OA=Uk^}Q{;uSIn0YVEgenaaAB|WV^2_&ZGps0cd;_M!V$t0t#la9vrt8GeFM1A zn5t{E0Yv|ptnY=Y5{?xvYycNUT;Bj5Z%ozgWdnGE;LG1Zgbqu`1zoK}Kz?+)7vyahgQ>!WqJ&V`FK8X>6RC zU>X}|C78y>*$JkxaZZA1Y@C~58XM;&n8wEW38t~JEWtE3mM56T#svwcv9U72G&U|2 zWap#ln~`&oAhC4Cbrld)9oepCBbyBqAkI6ucAFc->cv>n&1I(WOOH3zjZNDjM0f?k{}Lyk>!ye z!6`5nQhzL|g1s=(0jS^FaNHilVY)D@UcMHd@ocxznkZNAAwvwZ=%xhS>aK@|S%S#M z9@x-6GE}n|ZM>N)*qN?(vD=$xWB8_HJ9pXyr>2h25odvLp=)QHySDLY*KQ9-MFa6^ ztQBFQAOkF3@=*aaz&gU9__~=eNVW^YBEe~7tU6&^a{O+|n&BzgP&m=aFqhU)QYis{ z>cSlUBnSAiO7gGZW_ zPfs`lNTlk=w&}x5C8m!029WoKvl2|B`J4m~Aa~}t^I~Fc0=B$SGg2;qrOTq!cX$Tj zG=~e6ypMfF+HqYdtc!C?5zh>(1nZj)?rjO{+0EY|-V`noj8m|0-Dk`cOr^F&xtfp8 z$7tUe8G8N*4LVF^Hw|39DVZd}fGWBYE>#wV`CxU#2iRfcmqlEko-U8LK0RF#aeaEa z5{zM2OK-SZQZ-twKla~iqI&)Cvd*}a4=>k7F?XuA$UUxICV4u(Y!FmO^J$|$41>{| z!h$0EB-kX4DX<#sVcGTFC^1iF#v^)jxJ7t8I2~VZi*nyhq%+(ucmT~ch;<&2v35GV zG=;ka$+crCQtpx&<|AWoxL0`e?6M__+e?R#q$k`5BvP%N7fX7-#q@nzmU@36YInz8 z+ZDD7>q7Dp@>&rd5@gm%1G9cY-)1%XdKzK7pU`{4cI3)+5kX&gRN53T9ZVk=EcAsZ zBCf9uPexonnC=iBJ(xZf#r3v*+PL1f&qOh8Ta6{&ndOuSXPy;oqc+v|tKoUU4vzZ+ zz@G2|P>%a01M25RCuVo!QOz?jPED04HCI0^rlmk!LJWe;WBbQy8FM9~)P|ga=KVrn zXihK<`Zl0ltoJe=iDFpeb>m*vDe*MMy|!A+0uzM`S0bhe>xG+mC1R@JXfNxxcIsu7 zFkKMW+(jw*K*amU5!xGO2#vrMy=@}kInyYt+nN(`eYDSwxIWtFMO+{4 z^CPa0_QSy#rakra{SlICv~LGi!qHK=-X9hk*ZadUQQYAtuKL2D;Amf56s5^i-bxZy z@6epjWyC11cf}Khb64yNCq;3)?}9dk#fGUj^o5fJvDL1=vLKu)$aSGSshkd`P=#wE zOQf;)Ya(Yv1NCbnX9^dtiJTqflS^ljA8#QDjyCuC)~+}AGQmP~FORt1+!qLsHuuUX z&R0Y(G)#5OI|+iLySG&dw(X#Nypxb%+Pw`Wn09ZMB$#$@mnN8YZ>tkbySK{{OuM(s z6HL3eD-uk*w<{A&ySFt7rrq1s38vlK+63#nw`;_phSD)`ogl?Y$G~fWplXBH8?>Bc zV~{=n7U@%UJ&ZDDJ~9qE+zpkeA{J>elB zR;y&qmC%PJ)b{x(vg!+u2;!I@CF3;Yq{vfFk3~F*9!=`L@VKx#tXiNiJdt3VZ1;sH z6C6*WfjbhMG+_8tf|Dm2KAoVev?)B3U}Y)N-mp_}^bGKm zSPfGmY)h9wdLztFcTJ6OQtUKgT7>!OuKoz8q)Q;vBg{{C4Mdoq?wS!{e!6Q`gz@RF zrf{$!^|1x7So;L24(>>RH-$OE+FT>l^II9`gPXB7*WAi>CCsw{EY#R#>9yU%VPJ~a z2nMWhM6x)gc81R0o#ALPbOq7Rgj0{lBojJI(jsJiY)E7b;<8#PJ~zdj5qe!EO&Upm&k@<2Wk%1%OJpShydo z3qjbuM7R~~vtK2w7H$E1TR0 zQ$hB8XyUGDH*F_}!`-%#>Fhm=;k1lvnXmfi)bQe(G(t67QUnO z@|Y=*>(oz3tRuuvXgMD9%-Sr~OmR;M66;`(hVs*bJoQ!@K$#aLf$*#Atov-z?NU;n z-7(A)R8x39iEXMq>=Nu?UAYWXE5eI{%y0RXLe^RS>klu($6QCAb6-hTIyL7ug%QCv z%@QY$DI9~o(vFy3+}>~!;gcAWdysqjt%No)c!(y>P6vff8^BNPi7+^^V6f3FGAZiE zJtmVzuP_e@##x#-Cykjc_n0K6W&U0!iT-G3O0>fT*Q8Is@x#X%(<^AM>!Mu!CXe|U zIYAo28RsEvtOTr1uGxc?z};rghY;PmRf$zmzPK@(hQ!8q?B=zDQY;&Xi}q5mB6KBWl8sm z)y_+#!uui98q7xiYzI#(kSOm~9MOEBFDK0m>9CwN(c=}z$S z1k;`13ldCsf>$QkJLrrqOfcOEz9>Q832q9j60B@Nxi?%aNEul3G#3wL>B!PCa~%hc zODslz4cff)5g~^qCtjTryM(RbG9dgotul{ZAu)_j-E(XWYofR-Z|c`dOi$}>kTvS- zqB>i^9nrHwU30xbi9N}3^|!=T&5gDO>syAKBJ9*VmAG=Vp?dYum|`NnRbs|OXN?;T zvbH%U_e)*CJF>M;AZ-nI0Vx*?KqJ@gkuoE;v$jd6k*2Uk3@sS7OU0;$`=hz;(w`Y_ zjj*%yPQ!;H>`0%P*cM@X=`f_NVLMQH$69O+k40Rs^e3e5)#>Ijx9jm`hs4wyPs6ID zP2p)VJl;2st(n%aGny|qDr#?dPKh-jY71gfcZuQSY^s^!T`hca>_~A=7$!g6*?ncvsLFP88N=sCJYt22{f0sKEJ8M)_)%F*&N2wTDv#b%d=g zkUmFjF~)PNsDZg`WH)n=REl(NJFsp^BhIqDA*N|Q%TrPh7Ou8amAF5&c|mdG>QCY^duudf{MZ7~VsF z)2M!fL;K8d^B(%Q6!haUztBOcx7#GAnLHkNm~XQ&~4AOLMqO@@@?3 zS_S?8ZtJVUg`2}Y5x2zC!cf?f?2T{KtmxmD^*vns!vkOpjn|#qINl%37UFv=mGH0_ zbr*)hHeLx!lTLHZkK_WIUbLC6Qk=qVI#~dX|d)G3OkB+IQTqm%=M={ zHTcyVs=+<6GwhUHTg`ZN>N!ECAQ)(H_%o&hYn*q6UACrqVOA{ni%IUs{8(NDnf4|& zYBz3dChZn#kHI#Q6AN~QN+*eV*0WR_knx_-0)uR;wJMVe&a_DZ>+OxKH-}D(*|@7H zn4c(2!ZfK)67>71JcuiKZ<05BS&<{3^(l3(IchBaQ9*R7Y0+MKq_Z>hN6e(kW5v3F zIv|E>vbHKtqO-&(RPMpX52bp9KkM^if zUNcsG9s$Gk$?MN*&7-11ybZ(K5rXi^($#&8aoxSatUVVoXB@%3J9k_XH+HTooDi+y z-0{)5lVHfXs`Fkfv7C(k?&PT5Q98hRpPHnp*PSM~cUMkN;=Q?YMl`N|Cs*3SnNC3V zwQ4hrp>THHLgUrxT;w>*2Y2%7bbjO%R;T5WqpQqmby{hwqxF5Euy@F5by_6`t5a8A zorc6<+uPlEb-L6BHODkwoi4MS*}@IHB3v%ab%WjK7+w}PA3Y5uRdn?2UPKdPo|&9+6k4Z81s8awt4v%y8Sw>h$Pt`YXa?$zXhfN3%5( z2dmQ)Q7=6u&*~)1gFmq+u{ss)Xmv6!=|)ccE3QsFXY>qmY}Z$SozjQlZD(hAR#5L_ z*Jf(uvRoy(A75<>y9D>P3+)OoO6*ek~H?ds_V36YNl4ZJ}Gxi{Dg~sG3P;sA?MZqW;i}9Ba%ldCr*@IqXXE zj(B?H@V;c8b7t78IzO3EVFwE{WV`c@c#arU+4wx?%oBsHvEw6Oba(`5gy*$O`p{&8Qi@`G>0prUV7K160Wvh z?nwuQwNW06PSMsGyJgiSseBDM{n4_t#^OyN{#2a>Ios3?k|Xv50&QWVpubPT zH@kGdaZ{8}MuWfBa5EU&Q}Q*rTP4>+p7CqlePMHA>=(a*%!>rJz(j(<^2%_hAT?RV zy>jWGh$nJ69UeJU!rfM2YvuVnV5QsWhtLF>5e2#8UNyCty&XYV9-?t0_Dw1!8H7 zw?ojE96k~!jn@Jq?*ZpN#u#&=Yn6?b`zR))rof z+HBqJ;!t=|407+>%WV8|G*H+9hR7-G088D@q_6{QhC{2=cib()#T{U~7&LQz2gnyT zXb9@P@oYTF1~sM{?*Mx(rzO)4aH?>F9bmut=%pRtbm0a&z!~PFmv(@&gz88)5KeJ33?QB@h-v6i?FjG3<*-e*oj-iC19n^6Y*-vHKWv? zQzfy&I03$-7gDdVLLQ!cML#9z^rz^{)v!j4biDz1b=2pw@HRQw6V}2YQhkn~DO@8l zvF_;JwSv@>CuL4g>x~ho+&2jGbP2W!X#TdTcCa8HJ`??v1B(+8IkUN9df=k+#R*kjV8`8 z64z(46=92UDh$c*7pDJp)K;mkc@aD&;4UJN(mj+E>ZN;F43&=OmnhvfLB5U8MR#yl zcqEG3eMO#+NDHz{wX_-@737X&y>ySkQ0dMhSP&kMiTQeH%=}4VdP0}iDhj{D3KU+; z!OHNIAh$vC3T)iT3Y>4cKO+S|!dV4~kDb0^ebo;Bb%v0{rG7Bq9GHN%i?c;-*%>NgXg1O1;c95H92kqs(-UG) zdC^`av`3sOn|IQLb=P$n=K4Z+f^AC;Cnh+4vEifyCk+}-NpSLf!`=j^3>Z#LuxBE$ zDNIYSG6d`m{en1FEddvV>4Nkj_urpLH0}&;+NPu z!y+-XtNIl3YB=6<^@`0j8|F_GL*;cdw}q30{jIkj#zAy)R7k&m(iu(>Ry%8Q<-U9r z$6iG*Iz8gltlXH7xc-XF84;(`I(O#5RDAvW`DaOvL*Zg2cF+#PA9!I_+ny%k4UK4SB zrCBR==8v|=(B~spf?9Y+mi^zDdgQ*l#G1TV62V1Vn*a4T%h)-{bp~@Wd`8Diu?<0xh=%92{%%BtI()C6LvyDr~yTW2n zI1fMyFwHoXmfwT|juv1*LKom16@VWJh^f=(xZA_Q!m>5j{>-r$W2&q6FgHp&)mnHv zUyzQ{aGo9t3#?7y_i`dX%EmFEw(ki?1Bq0RBH*q@6sBDuPq7;(PddY(po9n6lSN7D zLupeuPH^vzo#4cKbBqbw)-a$_^ORLG?*3B=Cr4?j@ZNBWFfCBUlX6=)HHk~LHnsdv zI86+C?B33xOOT^jID;;YoWdFOtjH;xLC>+(yvc0}=L*xYI`b95^TjBhL6?iM_cQ29 z8)OpL%Ng_{%k$ZePxT8^$9tX`hs;M$a~1pJON4Q3PrcRVqnFO0mkBpGgI;02*IQTT zmBLhKgF1sL2r}1a0cBR&DYPMw?|w*gWj3!?d=SDSJrp$?hki^V{gn?1n-rG=l^s?@V=O& zeg?hYSRK6a8FcGz`YXbN$>5%6(1)X5{S3NIxNru2B-`=2HxwRCcKAkL{M+LU`WSMG zQl%p@iXWG@N(PU)>&XPu!RV=|%eyB7h!=!sB(6WqxgzW|E~SqiHHBw|wMLH2-Qzkl z$@#Gwi!tCunKegPJKB5*d{GRrveT*~=tt9%wfek-U?*Q_LXB*r(oe& zW!%NFicUi5S;eFP*vqkMip1J}r(@Mr+oO7FS1J91&@TqrQ6~PH!$4F>Gj1i!5XRj& zbu@)p)>m!fUuQTtiA%McWUnvG5rYE7tDb1g6+>s(+V`bV4fCxbhBpzt;czi>74aal zpemS2o^|kusP50+QQo61CF{6KF3i%nh7Jm9$I{>y0L#O%N!)mqYzxQPIPPPOv(@o} z*)g5~OVU_&J{fPETI#R`oo#XNm*F<&W@bI!gp@u6c)boZFO|vTP93rt1o;Ph*4blE)-+$3*Ram z)PmCZ;_Hy*c|l=86K=5Ztu`OMwD4UfjAMH)d{>x{URwCB6mGEaU2Q&knnUO)YlZ(` z7QS_sXFs_iQrB<1@NL*bf8(fr!-a3t9{M*H^cyXFx9p~WWVkiyHyQ_AQQTZN*QmEN zhdU%MEPQuH^Yw-Au88Xk-#y9R-WI-lvwm9mwt!=A%nRTB(x3tBx8JwMB=v>wL1Vh! zUKYNGchg@Hwk3mmE_~agUVY(vRJgG4Jyx_sRXt&>8HJvqzdaVdCy`T>wD9eaHZWa$ zeLBH(wRNW;C5pYaH9Q;B*3ZDtOYS+MKedZy%=EV+yx`TC!MxNhz)=UuR+v5*?vUc$fZ$aKHD7mIyeyVMEXl0+a7==21BQbM`Z*4M z3MD~*aDYe8608iO+#8M)%q`7jG{N}Y4oOegU3y}c#&$kwcj@9Rl^ea`}D-HUqhRZUffq+*;*j^eSGd|L5NF@#;d*zZbY~5VccG4__0=gz%w#jpUCfyaFVZu^o4r`H89jt zePK(2ZG(pQB{+V*;r$7wuQxo9pugV0<+ubZOHu9(4+@TslZON~PS#lZ@b1!WSxPgI z_L1GC+p|<|^oB=^(n@$tkmE)i`fcIyi1WRgC!CmC9U^gCcrr^>!rrh$Fnie=o&v(J zUs`=8;`*}ktkiwr*)sOxC-?a!X4UB&nexJzLB}_ECB}TmNhMu{dnp><%iAljNLk&W z#*@ZUABpO9-zt;sYu&dNaP+NV=Is*Owy}u)UF*yyMdN$%tyjwOZDhyT)wM57 zlh_@3mrQbJCF%QG6K~E~jx(`a^PBHQd0&`OPhX1ZXBFk#Xc5G4C*z7^QB_d8o6~T8 zMVKq7rQd_7HOvD`4$-f(77&c`YQy%g+u8HL=c;cSbkqlrM?qXEhlF6;mC zkN7hj&XWQ)%562jqnz<u>RCd&1`DNRa(abcMf0Qij#FdsF%zzl?HBi^z}2HTks z`5BXo_OPFEwr^ate{r(k9qo?~mt^}-W4|Y?2C8Vag{suya9PeEy|0^bd|!7>lovC& zB4yASGvJA5F?3aim0qKYtAXZlcU?CNDB?9vQZM4Qg6f6M_F#R2xe7DRMKmsYu+ipp zWx-WAK5WYNHFY&)$PDZ+ z#$Zp_22_!6c99>+=F<=BW*mQ5cTF%Z7Wq*npvYah$d8MmQy6dU3{o#@)hEo$h3*JD zoCp^dxrk2-(y`myT*RG%g(7C0i)dUd;&Ul|Dq=_2Wd`=ovHcg5K@W`n@Dh;1@&(SN zu5w12x&{RiD0aj|Nh1Mqv)M%)|s9)Xc3OUw7+AWRWjPv+4F8Y6*5>O#^ z|4$Gj`cJOv$|s6b@c$$ysr!Gjp#0ZXmro=CclZA^DUAAmy7kFok^Mg->Q}F@|4S{z z|1=mg&V$jo=>J(tQ1t&CG30+?FrF)3p#<^i8dj_VU-}OBAw7*p~#p{*sM?67|UlAxIMigGCEiS(O}`?pd$-OgM4mCCUw6K zh{BK^Acfa;9ykLd+sl@1wY1fCwV>0=aJXCy3Rq2pH{(2bjYn&h!;tf%5(mhoJ**Mb z^_NR!?j?P3;lY7G+?EEy-`q?UEXS+HyOHC zy;sOM4{c-lOk0y+T)0^Y0Q<#hxg*?a2Eym;^JYP^(_Lk5o8Jy3lD63W;m(M854hBa z28FykCD5Ln1L8di`W6E}^ejl7c8siV^g{W467#@9d!w&S@U8V^Y~skBV-D4&bHam& z^L##B=1zvJ5UC>LKuv$T*ZN zJOUO(JiC0T6zEasW(8TGjrdh+S&++aT%Onvt^i{dJT6Gm_=6rF3{QYbN&+tIUt>s# zTqb)gIVEzLsKt*(jq0e!RsgGv&85;uqQW7g9$R5{`4B1CV>1r11w5|jc}VJy)vzPF zOy|KfejHnnO+vg?VWtB9C`jpp;hB07+)RR838^=eF~5jfZ>FTsRd1%G(N%9IGm6b* zMxmK9t~Zkzg=R7?Hd9ilHIF_-WoXb%Jetgy%{0YW@n}jK)M^?{W*kb_o0kf0#yk?F(Ufud zu+%rrIE*aPXfi&ee3%s6Hd>@tuGLodfN$7bpeuK-bv*XlJLNh|&Fv*uD( zBdUtZpA4m*dJXY|3JJ#=qQoDx9K|?$Toct(jkuAWKGldD*^D`(<;}R>EzLM|w7kZL z6lRa4kjh)n^HAMV!|7^hmd_PW{VGC>AX7_jWMjr=Ze-zD1UIt9g+?|mHgZxJZRDge z+Q?=U8`+FPBWGN1WHSnlY+P*Qq)=~UV`@E@xqbICcaE0X&1M|S>}C@#G@Hf6W;3JM zY-SXiE#rE#nNesq<6^TVg?h6YS7}$8#?3Y{79sZ2N|+>ApH7;>6yx+ZQ&;E})Tg+7 zTIVX-G#C_VFT14aQpa4mcB?Yz4>O{AVTW?CRM=89e2>2^R3+AqrS@L=I~?YkLBC3; zhm7;-!MM0*nV&MKA0-!vL96h%o_*srM{_8bUN_{YhmUp=m2$E&?GMMmpp*r-kF|>2 z-t#^sdTn8m#CF>cGYp60&A{z+XvjDp8jOo>pO`YJyS-S9=(bv@JTshZ&Zyg`I*HtV zdvyDB7`wZDhE?SDD`WOVxV=CuLA~`#dq^cHyjW zzImgLFLxq2{)OoHN*KF4evwt=_@1}tUEixDw&R{yhr^H=IG(oS8RzY|u^eyrIA{u& zDgm}S1_;{2>S(aT$CoR^<;h(ABwd;ru8bp){H|Cm30pfRJJ2^I|&Aif$S3rPdRHzbqZ&d_$1aIJGB1vzRrz8*|u zFGF>sv^`X}GFP!Z+~nj`NObr{!GgmXXNQf84x3RtffY6Ea5ORM@GZ`9)Ztsfdv|!V zwCyk-k=2g)4l%kpA9^lZ7VZ*`D-g4B!aPKb$DWNP$9!BwKNi*JAoZT%pgPtzgEjOc zk-=UM1$N*IB4!sN1={S~tRM?C*(Z~QlH|15MkJ*lD#)T)c3+bvt#<|Lj zi!PYaU8u66hFypza-SX!J8~A4Sjvo9u3SpvVisn&lq_)S6-5na5lxT&LI%m-w zv&fjG#aS2^voOP1uox+eqK31GCdh(sYATDJIg6H zK^85_f>(T%1x;02Pgj{0o)@I)bPeBa`9fl_gC2^FDZc(kbxWupZQM``Q z1+J8eAPZK#Qd-1_9enJs)X{G3l50*#9%r0AHZFQ>hASm`T-30~(M0xmICSSMQt!(+ z_derd7G`)|NWHJ9;VhyFvT*Nf3zL+Ey2c{c!W2Qzd^Ej=`BX8e1;6vZL!Co>{gH~b zcG?~;W}IC#F1lz&(Z!;MU5qBOi+mY4XORX-#(97k7qc+KT_X*UqK31GCdeWUkQvH? zLYB0bpA}{a(igb6rqT|F>K-m+oLw+3x?o1pg`$RCh$gZN?7edqY0AzxPua%BEX?qH znWpTbhO>w!$ih=LFO#^G3;^vqdcxsAB30e(r_WKqMl6HQP%+wYit8|RC zHF{X%Jc${FJcmE_fru4hnZ!Eh`7we@SZ?E7CQ7Ywfvto6JZxWBX*v2TYhSp~Vlt2L zB0)~!6XqlB4XYA##qbGVLE6rcPxuNl3sy!3_SgoHm{0gxjQ%#~bg3YfkTPDKV3)e! zrf^w;)dAJ{RdqajKwBX0PD`#jrzV`>@|>U=6J#8J2XRd>RsyoLJ69-yHti}JpYswV z!UZ!h9|;B%(G_;O;94tlL4E+pCxN4|;WKR2u-?ipn998&!Y)5bz~fZOR427YL5CBh zplr{ss$&YucxZ`uv^Q^z43BlHMoYdeBn^soQ!+uT45*}>Fj5v>D(R+hW6rS}bIh2U za*oEu9L?}FP2DQTqK0#fCdjd>9Qm3HSrAD(>RXi|ov3@O>vFT8XVhKfN9Eojh8CK; zfYor9pxR*&6Fm79VRw2c@16+vD=oG3-U!>%*KD^$=o^Zpy)R4GSo!`4yGk1kABeES zziHDNwgTbX>DKU2MCzTmxXr4J*oO_b3(DgfuWL&Fm>3#$wfmVfVLXu%bPZy%H9QF< zvX?XAQ&QF(ICAOlci(eit3Nyw6BlO0XO%#{(i}`s&k1TqOnb77^PbFjv_&_>1fCJ; z@oLec28M4)CN;8w%!s?94<6~f#hEfpbI3~x`i%_U!xzN4IKNfGD-p*ROsI?i#%@dF zPdS(NC$%2h9CTU{i1U<2O*HzefVTmtb=EQM}vMJ0@`qim%gl9Z^Y8>Ilqy1rHOh8vC zqv8Hg)S&urN+xkgA710S&Ed*IEj$(fhrme=C~m$cuq+<7B$G?hGZh; zNEIEOO6jjn^n`^#JgIIc_-Z)D?ohXXD5YP1r1rRxdTipiU+ii=PEc(!=AerBtKo#C z-T4Q$9^Tx_3cocdKE_M4$ZS?vEXZK*@OO_W{V8H-`|tW*U&p!hmKRHJMzQoo4VONe z%%x`!lCzi=H$558o)(+bxR`|*-gQokO(`XDfTW|t#JjPmy*#;^kiilD|ngsqkHbLW`QLNyihD#q!j8^bPIg3=m8RrT%E@okdk8r7iiyF=%n#dJA94^jT z^v5>Lcy@nmL*rr=X1EReV;dGVoJBN27X7Nsrf`X}pjJEM&izuL+HjHEaJ7WGM65O( z3YQCN5#wRHIMd38{%8uOl`FD(qqdwC*3^@aos<|8Yb7o;S;o1^jEjXequ69c4Hq_= z7;Un3Ig8X}8RsT5E@okduf(M$D{454XkxU<*5@ozlVzNn%($3^8SWLS$%-1zBAUoe zHXJtQET+d^k@4*5u~!%uvoOQGVtVWqMGa>WO_0TOAiZLfvQV#RBj^t|0*MsXs#}r| z9n9vm{H=n;rE7CCke067Z9qK*<98;Rmo6^03Tmwyz*KLzTafdDa;o5!5kg8>Sb8 zM=j-$sGL|i9v5b?Ow?6hzR@b!&SMyYeD(CHh`Y5UAbuvMp6K%er-_{rr*~$D!?VIz z%R97;^A63p*vMw+jc7EyA{RB>$kBuEf3EQHEzoV$%E9EM+oA*+p;$tB{(|dj*imQ75UVMFt_kx>G-xs#NDNt z)J0EN1f&+KBRk^|s$b)S*&2?EQk`+Qc5{M~YQRye%mgP1YUq!7L6fw6*h6AsY5bim zsPVUz#Qa>6rK98Tbm7tQcZQ(GU%#?$4`)W)Us?dHgtKGn`uIC1;(DRajW~Tqj;Hs9 zxpcsI^d+5)X+vDRF3Q!0+{YpVo~u-Xy^XHnuw3H8_|7=@3FBg)Fk`>M_%3R=Pec== zePU(G!i~=B0;vSuI!$ziiv$@Kdi9(xyh@PYLG?_^_`X;(hk))gk>Tp!*bXt5+8}i{m!EQQ;rwKm(VKJu&O%vn7Q-aJI>ba$v z;TgekXmhhyKXCD^FjC)z7#E()+Rc{k%F@%wYFv0BOWQ1cDN9!&?F%mpQYK~0V~ei{ z@;uyrx-?1)jR^OXmHb)|Dt$nW87&I@GDVB97PWQ2p3n}&O!aAk;m~R2(e99O?heMI z-C;OPRDy9%;M=en=k_)(wznC&&7Rx4sNwdGCPv$Pin74F{WK+v3%!D>XVqL=m}V*U z`c9<06D`O`{b2BSeHaj~&xqfw<5-|I5z9Y54^9HUWu*k;Mh#R)4N$;uhKzFojYkXk zt*FpS4d((DHOS+}WFi;v@-SCfFeC3ri74PaK^0Jq&o6lhg7l$43b;V9UcgP^DB*em zud3r*K+EebhJmA%U_TWR^ISJwXq;Q{syfaEw0yLH8>2!uCUOCb8WixRWFi-k7x9$E zXoo#ku+U+T6CUlbCkWO%Yq&kfOaFWxio6NVb|_n2s(M#C5yU6o!&i z{elJO5(QbFzG*OGW#xJ;0F-J_%{T;a4xH5zcpgMWi&wz)Ds?pK|!h` zZDXGe+Y}y_I{hTB;aAmhY@am|*QWrU^?5`IXrFki@v1t`w;C-UZGeqY!8d2pt;V7T z4RBL3feYF{(Ra5i3t}zmtmDF?g1I~LQn;m5&)1Pw!V`k(aB0%sAzYu+z8Nyk1u`yn zxTlq1w8K5)^rQBk9ku5OES$bkhXs`+~er;4kd8@~^%@r(Y1{bFn3UA)wR=@rC+QH#7m#s}cJ6^`x@C3q1wu zfqJ3+A$@_S57K8#4uJIOivuBj?BF110D2WP1DXlVf?f?B47~=@H>zesbD%?@xzM4| zJm@fJKJ;4XaOic=0_abmBcLPs;Ox=-TPnStP`{-02Iv^*jpf1eoA~!w=*`d~=q=E3 z&|9J7p|?RNK>BR-iO@Tslc0B&7nk3~zb8ZQhE9Rr1Dy)#bKIvv?}JW<-d|o){y_PR z@}HHLf<6eHS^iM@tn!D;XA}PjbWZuB<#Wp)E1y^Xc=`PDC(6sH?>C@pq3fXacaSw;k#*>U7wpch~srxxzk&2bn*B-m4s&L2M>83wpI}R?VLco&z0XG}qyw z;Cawt(0u5%(BaVQpasyMKu17FLPtS=3LOo-9$E;!0XhbHBQyxT2|5;fGqebL3v?Xx zR_J)>ZO{qO+o2PocR(jW?}QdZ?}AQ--VL1sy$3oKdM|Vu^gifx=>5=6>GcCEzbOb}6whLaU9wWLuXz{ud6faQGF6S30~3?KRL}LRXvf zRbp!$`1<`zPo@qn|i@$l*UbeAwYn(b(qLzYu!_`kB#ohyMzG)Ukgf_LyV; z?(lJk{{i<2$NrPplaBqI*beBwpr@c;Ku=rpOJdJJzk+s}^WVgth5iS6&YWKpdmj1? zw9A~|5_$WrzO<_Z6sS6o~!7u@Pc_gjgYK<%;HuX04UAao`rm zS{=55$3yKvb2 zXaIT@Gy|Gx=`3Qeh7N{a1M!{X8s9dq&4CVq=347eV)LNGjOIIht;53|z7E*}=ue;{ zpd+E9pg)C#9exe&HBR{r<7*vW z2X{U6O=tu3EodY3SC$Styx!p^xHmvILN`G-L*IsOfxZLX3Vj#44f-Cm8TxDJcIf-i z9njxEcS3&)-DRskaCkTP@9f*X#C~Yr7Ki@;zR$5A5xd_yKQ`X#@Shw$=hRwjKIZV>9X{^xKhS={vHz^J)P4ba8u}&l4D>5# zr=|bx@LBNxK+i$HhMqU~H^g>9zcqTn;qM&2=88b2w|d{QCS1T{nBpcbeVYJ;$T*`Gp3L$8MxLT`YMf!+uWLT`eOh29J;g5Clh2fYjg z=!4Li(1)P2pbuN?Y=<8Kp96gqIv4sFbRP6^=zQoC&@$+g&~oTg&;`&6XeIRL(1p;a zp^Ko;K&zn7LKj1ygNB^b=N(=G{sMF<^hIbj^d;yr=*!UM&|g4TKwp8bgsy7RDt5Kg zf7RhyhhKAe4H{o}Y@NezIK0;3bq?2~@l9xh(YG9Kbof^ehaFz;aFfFu(7qA63A)*w zZ#%rj;ddO~>hQa0+~(N#9By{_*Klul?E4Py0RN3+cRKuA@LkXkpu3^JgYI!Df9UW& zhyUnsYm@fz4?EoM@NtJbNb_H|_7t&SKu;U}lGroQub`dKf1CTP!~X$4=h&|uJ`etl zW4j#w*5M0qf9KeX#C{LG1pP1cvOQwhup#P(}e ziYdf;%|5gUMB1C__J=d|15jzk1ICQ=_pCGo(u}>0P z4t>h#0*5Ocu5|e44li{0X@?g%{EWj@4nOPgVuzo@){tYLCw7TrUm$j=V_zh;+OaPY zyUejK6T958zaVynV_zY5rDIn)Tm$|~=xU>{5?kxo*BoBs@au5bIra@=*E)8c!}Z{A zI<~>#w;XPS`&ZDg(e=bOId+4?8y(){@MdJ+cI+01-vQt1*msHD27M3OY|dXhydC^~ z=nkX5A$F%@f9vor@DCijo7mq$_Za;>v3ni+p~EfUe}L{Y`Vq1Fp?@@bz~PS_Zgu!i z4j***6Ne9>{m+g)?C_@!w>kV5WRE!ZGh*8v`&VL*I`(hG9&_y9i9PPve-L}ZvHv9Y zq+>rPw!^Xia`+VZ7tqs2za;hy^edyC4*whctYiN}>^aANP3(E-H%7aN{T6xw`kgs1 z68pVlFFE{Qhc7$)KV+{sR&y8}{=wmh!#_IowZs}9W@5goIBas*>~NgJ7Kg14+Z>J` z$9~7L4q}~-brI`!Y=Xmy4)=pQ$+5}Ara0C^tk<#q9Zm)JLDP&5Al45ZXf)m7LEr($ zUPWw%V>2Dj0>9d^gNePyu`03Ij?Hm+h{L%K4|O;Xjl;(AnUvaVi5+g<>l`jH_Xx+2 zba<4*KXrJt!`G8$A@l~LV~D*G8Z>$nv16e(LyMrdn0uVVw>muD;oFd%;Mm(8p6Ku$ z4o^b%PRAA#dzWJ;6MMH~rx1IOW2X{(uVbeXd!J*c6MMg7ONf2Iu`?Y08F(r5L8CK? zeF!?s=)(@r27kn{bBKM^v2%%i3_8!~29sZredmR2fvU?r- zA+arv{R6T4pdUf^L;q;*0}g-ea4Xz@a_m8eKLI}k{WJ8iIX`u{4g4?ABhb&F?dJZg z!$%$do5RN({=37+9sY;ICmjB#!zUg7+~E#~|K;#0hre+6w8LLIe8%Cg$aN?5-_Wzr z|Csxn!(Tgm9`0|TUC?i#7ogukFIxJ0hc7w&UxzO{{6B}UIIN)^pg%w(&>zk9U6dN% zY^qgSGy^sfYj$j$!xo3FaND5qP&?FNZYQxW$GRO(08fPWgC;?fp(&R1IP7(}zr(4> z`W&0)@BoMX4i7{&-LZp+4LJ5HVly0@No;+{{(!5V@DD@%CSEsb~N;QqlLuY03BoWMu&qA-vswq=*>op z9KHp79Q0P`c<61=3DDc26QOrNCt35I#1=#EYSE1RZu3rY_#TI+I(#o0r$O(7PB-WM z#FjYr0b*xBe+Dfz=Yzz~bnHXK&T{O-#Lk930-XbW)ZBB4eGEF!=;OrBhdyDn%;6^; zE_e7TWEVKL!r@AXf9~)?WS@5IB4VF$Y!$K3I(9L!&p9?k?DLLYLhK8UT}teWj;$v4 zCC4sv_+{|r&|er`LF_Bgl}1-NTm$|~$F3&!Rmav6`xmB>1 z!wukXK^vjJf`*~%p-qwKlG2#1JIA5teo5G;QwLo&BLL5|Nh}?X3Pw-k3IWNSqEb)l%a%5p;Z`T-?yTy zV{C_wgLZ^Z929T%xa10R#3Ob*g6c?L)``ox5M-e7;c1Cd(7&H=}u7J zjIk{kZpF|U!);hRSB$%1xC6%CiCOnx`d+BJV{9LW9vFIJF}yL(#Lx%E^Tn7SWd0Zn zfGiM;83I`-W($KX9Agm}MnXLbi?bio4`3LJSq@=59>z$3l89+ZkR@X*1u_=KQXykw zDKaoU6Y5z|4rAI8$g(k(16eM{jzV?}OK}3z^Prv&r2x}TLRN^eBFKs{c8ZMNl$?cn zIi{b(uma2D0<>Pl^eV_MLAea&3TC+q*)@z^$Kuvt{3eFAFsu$^^%&lQ`fVt8Fs%W@ zyBOZX@IDNC0HqO16B+(c_WTRT+M&E8!@sCI{~odrSj>-D=m69Qp$uW6zag6-!yky8 zhwoX;#Z47lV)WuK_hUsI> zfE%6FMi@7SRvN}kFf_%`3|h@GW`V`E#JCl-T4QV-hU+o3fmS-kY_Yf-F>Vj7n=s~p zp(BP)(7G98Td=s>puQc`T`+XT&<$F5K-tNSj^sYbJTSW_hF(x-U?KjH1z@&741+KX z#(Lxc42#9|ILHoS><~9;J_Re64Q*+dEgj1#8{;_`KY?KphGiI5!r14r7#A?Sh*_^; zSPR4Ipwwd_w=leog*?Ep1%|a^*2j=N!EEgqzJ>ZbETj|DKV#Sft-VnCp!7o-fHH{1 z8iH&X$`4E%!EhAApU^snrJls}DXfjN82^jm9E>p!WdYLwhKo>Nf&$;;na4rFLm@!n zfZ&j2Cd>yB%nz0kmlv!r#$>r#X{9E zRL4*QLroa21!WbK)ljsd=s?khq6bAEi)DZz6+=S|jW9HZF=!Yw!O#>#GiWvELFbJ% zrmutgdMGwf=um7is~v_LpuQ1`J(NvQ9H2O2Ax;=>hWZwaZN<f1239Woavu29@C z%MRF1cZ}`BN@v0lA1J<<%@0F=3gkeD#3&!F{Vi*gpaZnCoA%`%G$1nlIL>QKY zv1BZMI)>R8a$wjAD0x_TK4b+LJBeW-7N-=$3Jfn{cmu|(#$wb!b`xW@kkw(V9FvepjPq32PA$tks6_gGv{56Je zp#BzP?=bAdunSt>W9$QlA2Ixd;b$231@C}Nl<4w(eTBr%l2P#RiSLXp8VSq$ZP z(V8eis}fcd4ahX1XhB&8Wi=FSC^}Gdq3B_$^f5HRkcy!p3^T%*F=RB1nLuU=#SGKT zF|@#N4TfuBm?c*JI;`vsP~V7!*h97nV-8sOW{hvaV!6UFH%#9F*-nh@;w8-Qg_=7S z!y7UtX7|C+7ehY`{V@!{Fc8KI!dNgb`dk+Z^)QS@VAe%;{OM;S&)jt(7HfB%5YIp?d*;q-rnDr=z$1n>A<0ml8gYoh)R)FD2 z3=5&P2+OyGmo#4vwR4!g0}=&EXd7=IeLd9K z2R?SYFL=%ROoD)M1Xq`-lLCOg0m#sSU>gqy;L@Btb> z;z8l(#{=R8N}dB!!v+_T49}xXSg6fkWfPUZ$`;_`pdNOT!m4M2RAxvgr2%#^ER;=*>)>r%Z_=;0If*i9lCF z0E;e;uxyQCuiDunN<_zO@Q~z1u3>f|;Au98*A<~m0To2?JI)po8$`c_&>{^}werHq zPjf&fFJ&qf27}vWXm%_*5QhOZ0ksI=a2dmDRI-69tOk9!vIvyaqlpQvu+B=vjX9aT zfHGx+&_S{-B&i6`Q$h=X;g8W^P!rUTpt-{@E5v?MrnvBcr{y@QJ)hMH(h#(NsOhkO zxEYeZ|J^^U!OdA^x#n4AdGK}?>!wx{o`dTSfwPD3@jRX>=>SI;E+f(h!hmhmax7pQ zupA4lJG2}Nq$J6Pr;VN+0+oGj-A)V6v%qz7*SPzr*AVdO3+PS~s?G!iKO&AsLL>n- z<_V&c$yfnMS{yMGJmWDS;yFYF&-epwbK^EM*gVpJN;1W@rLow6gs@4R3gQCbw1^=( zrM)LX>tgs>mJ1UH7|BG*8W;~y$cR8&x=tEM-Y9&51OHGVs7a?;$BWlwf=R2&bpBRG zD(J$qQprf~8^E>5nVb}441+#|bCXMu(+otB`zNxwo<0DaRCVNcJvA4!SP@+5I7Se7 zDZ+n_LW+fB8kx3Kld6dWHK|cnl$j_5B-0t$%CL@rm5$Z%JRmP{9!nti^FZ&(n8jpU zu}7fAjm_%MrKW*Dh(W>W0zw)fBWyB7jkEwLw&F;2K5Wk5BIm0iLL3jvIrwbfFzd#b4K`LSd2cbfDE9<7vrc?C*VwotH2SA`S5_v<<5T1hF&82o$3Xa@ev$wXScDP(o*t46`M$B z_rrXs>;P+P|9B}-6RQf7tH9*(Mm+zS9L{(TTW?V5P4e%FT^9$=#^De41g;ALXM^y; zs?d`{FUpC2B$z`4I;T0}G=yaY1Q105%HydeP?#*s`jCzF#&>a@{QhZB6YYv9rch(R z^4N$G06I44ECaoPFUR?y(*>u3(W(x309)_nV!^t&V(lY6u>whoAwu8D&ak~(FB zV?+TL0-=r{54Tb1j|lGQL<)Yl_d=$vSvFuubmA%EWCEb<6({hQvFboJZh3Nnlzen@ zbqqsS$udfvRlWuCaGqsmXf^s~lWjPkYVmN=5)rhz0G+wi*b*E-XD%a76$h4!^kRdr zu)yednHPW;tTHz*^aMdbYith#KR7aLACuD|HC=I;l|HUwBGY)%C>t!rYz z^0a2e0;B(Gju(45Z`gL!-B(6|Wp`g00G8eT*+T#yj}99;vFR=KvEigipfs*FYCq)E z2b{YRNwZAjEO0fmo+ykk_~1Ha)$!n~QsEAQwqA`53Y&;@Vi`jK?s2U8Ox$ZWuunT1 zhL7s;2J8IK`r`xW*p#57Hqhg}Yy)&yptUfm4=8mb+-XF3Zdq<{SvpwWQ7Zeu@{Zy< z36^)1Bq5-a!O|ci93n_sD2lvD-wqbc+YJ-#$ngm0c!eNgi3@nik@6UY{6&ef>wzp&g%kL7A&V# z0{JTr>P{#p-9*X-!Q;iMbOwtX?p7~X=1CyVd4NC{Lx4E!I`6r>fv772s0&105kOra=Kc1Dr}drfPT~dy=m3zQODPbCgv>P$ z3TBp;IBeotc-*}?r)<#-$AZYUKuJq8hbQ543(AJg3qS(?9dt^XdN806RfCjG`WE0R zw|PNX@8%*r_nuosM|C-8B7F)_(ufu?3jhk>ALNEl3;qC|GU$u}XhgIIFdwlMl(ZHF zSe70EjRzkqJbeFozChTf;c(AYnpK;$A9orB&O@$!;V&5QbRon^nOdru0WJv6hEYJa z0KjcgB0HDS1G+4(rZPh6BtdoR89N4eED1PSlS_;oUP!v65!wzH7eJ#?sr8bAf`HmL zhj6%dxBv=)Mx|uTjsuRH3bOYIr2rnf)CxGF1UyjVa74NBYA0ck4GiMAfmG~+3kOh* z3*VFrIL$LloGy4wjn6GSLY?tOKxR@6{HW)G#{*8PsL^XD*pJ9Pl#SDiFWZVMO*ozg&z(h0=y41^@ZtOAUnI;0v4I#`GNSC9xvTKED` zwC(k;TRcMts2L`Z1SCmD7Eu9Bj?}xlxX@?-c9VplU`I9_N>>*SiADvK^qFx^mns6j zWTQu%wfTTkK*Hb8=SaW<18iOw9SiDWBVV#%hZAuyUKczl!jBfX!*aUBkocTq*?>Cz z4#`ZO$_DUTH5?~RTnJR>Q99}H1O#^w68>+taXzSFx8T1YgKa-!*E?7+aK;83%HDk5 z0l?uwxO!*n#sH|LWT2e|I|}-KE(Qs3b8}oI5tj)Wd@sT5s42E_`JHsbQ{X}I)wc~t?+B#WQ8fhqxp5Um1+tOP%t8#Pu`i6K}G@_B^O zKgb6NG+qIQ=L{cQadUh|XW?-7`qcHo@e>2+_(?s)*#OO|?@dra!1DM}sbG2hC~07M z{3z*QdHm4P!Nw0x$mQ`P#2B1x7HJ0Sc%|>qoj{gqwk9 zHm;xBV`v)iU!W2jttNv3(UvM+iH`g95|!A6^m>5)@fuR2RdhDc%7@Fyw-N!9;f%gk zWc(-4N>yU_gsqDLXQS}3J^t$gz}WyrxXaZL!F4zix6o~CX6fq5-tV_YK@G9ns%GjI z0(1&+Hod;}3xEYjr?+a~ERl%M0*1`aFl&F_ncBfn|B)I*tpTS3YJUlEVt@y`7 zDr8B(KN~Y{`I=Mv|nE?dpI`w@{zx zkmM+uk02-Qi6)w}X4GiVID9xd>w)*S#{F||!-~gt2Wol+dO|}Zr@|{E6{Q&QO)*sYLW6XmJ#O zsN2E(4Z2P-e*=zXFZ&xXmA&k506JmO`HH$7%-;ax{F*fAZ;k`0GR}WZHVHV{^0Gk= z>_MO3R5Cn11?^9M8ZQQdvw8Y6JpE>1C!{1%iLb0cPzc+$CLhiyN;*2->JiWz)IU*! z1_ftV5imz{b1 zbO&74|KD=UQe|+I5w8E|qVDhhAB#FA3C{2&?vx}&Iy{|Hh=>S0GtyxL|GA-3>$C4R z$h?{gm!383;3P7f68{{VJ$5PUso=Q!fB>6&w8vweH#qB!_a~yKT)yuqNqqe%8BR%Z zfXecjgxK;G<_x`rhy>gV;GHAEJvJPWCYR5`z^TtT6_%9=s!|2m%GbHzLc7U@WDHT* za65)&^C#2)IX)$A1N?O5yIev#M9{sUeEpn|@=d@cq;e8wSt=GI|!q zPQt6P`at0O3F{-m#XaD( z^$$c+EPPlaiXoKgDKd~F)p)rgj5a_-c(7Q2G6Q41hX=db3j~rX!ifgcPINN^RfjS#E|Eb?2pgB*jAq0f$ikvmB>J+AQH&zgj%u;Ch9E*q8w>w+f|X?0*J z@fe+fv~U9#cuhw~n&8nordBe7SmOncd}#H>i2t3c_akuutu8?8D@WRz3m8w)%Kmpg zTp+KEMO1|if(k2#FCVh`=!y%??KH6=+!?kkIZuFinQNK?2Ek=uDtxz+Xj> zvSp)gus@YT9BQI)gX>_o0{j^S7RX`&*BbgP9_V!Q=1_egG3ch`PZMhBpcAjtoyDg5 zKw{9{upFnJh$Qi*fd=1M{Mzn@$KW0M(f)lP7#yToiyqB+K0$?KwgTWmb4uki?MT91ghRFq5#?djvlEX2? zlJ6r;V9CS9dy$rL_?&`{79$bVA}hsOa5aAL{A2n+j1Hfh&LGR32T%A`PI;*1#{aN5 z))3wBprKQYz?)tG&%LmtIBeA@VBARX#UYutST`xdf7}KrF8kqQ*mne!!+(OW4F54L zD2HI$Lh%7)c=j7apV69-a^wucvjJqkp!g8EDK5YbSB^Bn=&(@!CQd(*8-%lzaW{~1 z9ITksGYS)0%5i59WjxGTY=dGM{|4bQAiRNAyOfy42J6!PaZOeVw3ekrHXSH))gtJ( z8h~I+M9@fO^B~{G*=Wh}WsmlytZlcZR1;9`!uI1SdB> z->5apn*j>omd)YD!95o~TN!j4_kk_kW={;cb=p7y5iay}I}&uBY;_L1g$UM-n@!rz zYAt~3?yA1Jp{t`<9CZ7Kal%P(BTs-kwVJW0&_7N_;WDiSt|m6@?ppZl0PBl>bpW?5 z_|?H5__XDVFdlPz3V8xiW`^exroDUDSVPimac2txq((UXBmpd+auOUJG8_wjTmCZ6G?*qlO@>F7Spdgs>7RT$V2mc1 zA^8j<%kYMimITVID6=sL+|7yb zKC>Trm=3Dal#}2dECJZ0{v|4jWDRF{+R~kTMkKs{rkrFG>Lq}X&~Y*+oh$^XCbM{s z1UDYkz!z?0dKJl_H>7J(HVa(B~4?a%4E>el)sm z7631V>f43m2mk?`vfdclfh|Zq_Wk9%iVDxO}3f zGhiP|lCdn|B2tDg9r7r{Ld6jJpZNL(3kv)W)d2+?6gHq>g~ApHpb>AT(1=jB0Bfg> z>&+CxJVA&*BarE>;0dA>8gXXu|I2Z3@ETUvC6XBtsT&TWJwtrGJwtVY4#P9TH&oXb z_($n7{FsbD5E>m7sT;?P0HL9g+NM+^V_@V%rBV%O3}9-cZ=%aEq5%Uh6G$Rp5lk#@ zD1dQ&LZd^xfoGI|XozlP1Yqa}`h@64`GE+gr?*Z-Bm$TRJcGl6n2|s?I6BDNKSme$ zMl&O$mLmuGd%;Km(bLn@*E7%qR6RpIBRyk1K+`kPGu7AA2m1O3`c!>GePE<-tWVQ7 z(FdjmdItIi1_pp?U}#`uU~B+r1||lkR6Q!try9UY8&ZK0)tE}7noxnMp`M|>p@AWw z8X6iJ85$b`nxToIsga%$&^IzLq8b?*0V5-0Bbt$k5im8@GuAgYFa}g(Lt`UjV`D%w zHZeA(>Cu2b&45Ow8Pb3e&6q}`nb3f#iJpnRiGc}R&W0vNCdMX!W@2JuYN}@n^i5%P zObtzekts}VYGMjZJ)@$S!C_HAAu3b>c7i|fW-55aD#S5CM5t#Z9G@rvdr-m0(?19> zz0DL9Jwq74FEnCbSX6`#@Q>UV5*-wzp}DX{8c7O;OBenY5)=>^72z4S&nE(S1~d10 zdV5CzGlgXni1^0@A{6{1(Ql*wNt*=I!509Lg+*aFo470Px-lFgx1!;7O%Aufyf*J}tP;iF;mS+GgyAd`+0lEkH!%I+r zTWCnsMmS3VGng3?bpam;lf+Q)|(VH+I;g0?X+BZy;e zV}?60Lx69TpG!z!NGRAJV#9=;>JP9qE+I^CAdJa?8PP$A_x}u9=jjbxJtO=>qHLG| zO@Sr=OlV#g8X5$aqk0Abv}8~3^?txJ;y;tSMERJYw*Ri7r}ySCbV2-Qa(W1e4*t*N z^bkg=1_?&F~Bgg5JObI5Q)ogQCpLKy=7{I8`(>frkQ|XPzMnz=IwU;h_-Yxeyf1 z{I3y-f};W75khf6TmlZ877BME@C#Fq2^6^HAV{I0j)EZstkC)Qit~uj0+O_pxPTm8O2icSxqy^m3Z_H4 zfL#B-p>a9ddqtQL%mlx%!vINHK%jYn8wDX0&{oZlZ-+0hV*gui;y=p2AOGt;FcE<} zc}F1VLDK7^1Bz@LKD+Y~mb$B!j{H?#x}oZsC!6NO@BhPk3-g1UEzrj`&Ac!VoaZ~o z{NNGq?*2pHTvKgjdg2F z0key9L8~+EwKUGnX1;Cz@m7{#Z|ZI^4G{szEUxJoJbA2i{k5@zfi^B z3I)A=+br{}8ke^($$T{6N6m*bnO*LVL}!K%7uQa~$Lf1mKEEOz{@_}=_NB%TnI9hB zZDHLwd*s(#pV!y1l&9yEPA8dFIt+A1_0*Lw*?Cc}88Y>bpJ~+S`&sDhpT0^^A^(lV z)8sYhrZ-ddrd9Nc+g~y)XV;MfpKE{fPwy_XQgOSTx*=X{)4Gq5cQ$CQTeCs(v@+tA zIB@l(lJtT4@p5HO#e*1wjwGuCveDHd3Vyu8xRnii_h|b$I5~?vU42X@bIVDZ=J(me z&u7MYhr`CVo!)W5@^hHOE$(|@1JSxoBjV;>6>T2L`HR2(wKb#b!o?mOI+{PK^ZVfC zMv~3(O)CJ9x$-mjaoU~Thu)Od7jIJx_}TYa6)b4-oLhODXI1WTzm)thx`B)8Ym$t9 z;3wrB&X0~ZwS3Dxo%6(nc>^d zMUvMx@fqljX6Uy5s4$vND@oaUef2ZF^sDol8;ZIQE4j7cZ@0@g%I9l~>h(Nxsu^g& zrR7WWWWKzTAXoohcl*h4>hUvHw|u-6298O%yr>^i*PE>>Rk7FOE7jO}sG8&Eu82`?VB8-&HbC``F)Vj(;}wn1I;G;?39Dyh)9 zxY-P35398*_toy4w)`T}qps60%2KsG*BZRWKjxKm;d%R?r#yY`UOZmy{eC;*W!JsB z{?Z2}<2^}XKOJa_M~shDCKU}SKJqX)w2iN4JlSoSY;^zl(ZQ@|><8PvetYbeaC2WH z{q6oYj8naT+`n`@w&v5g4ZnpC`+P9Y{gV8=WJ%ztoakH(pX*P?r`^XcF@K3n#Bq<2 ze^>~N$n5zo-fHh~-SEoY`zF!(f1;g^aR+&;^i(EkHXmLJe(#$b`!`GK*0p4s81=Z5 zWzyXm;?l*na(in>4+f8}t(|C7N;*a;ekT^AyzfiCev~km=;J+l>t&v3t?DvL)P3|J zWlB*}baUzafmN^W9^uU@a%Md33XzeXIZFLzJSToGI%$80cAIB6!D~{oG4thb$&k%^ z%2ez4?Q0@<-Q=#H{pLSQbH7^2xuTb|a4~LW;^BE=wQGt}xB>avhon7LE6q(BW2%@v->GyVo*Ryc8!Xw^!e>Gx9w@?knZQETm#XC*CtNoO?6WKRGPFq8E}5*9 za`v$KUDFCjf%1jR$rLjo3C$?Z9iM#osSz@ab+v5y=cd6e*KW)Z8s+e%SX5`p0>?4eYl3V zKj1~$JHl*U$D_12Cg?+*=R>yhC9yiCKfC+(ey`xq`4uaY zTv2jLSS5}>|FN%HTi`AM?||C!)UiLahMKRlad>jbA_D+oVnSk$L3l0o{NehhmA-&B=Bz8V7%T=$PJ-t`c$j$;v9R*A*@g zx?O*i*t&jl_LopPaYKv{b%;mdkWrqRz(KOP$v%cl_}1>7GfX)Ujde{;7d z)Lvh(``eNT-g5gXYyB$TB<(1ts_bymz+%ogG&8DcFmV3qvDVoAmT`?8Pu`D@WPEX* zm6H}c5IwO)wSz-xZyf!0{>N<3%GfWs?|pw>>`ZzVgSbhB^>h}j$)UWu<~;grM{uXi z8MX4rnenT{4_j6B-YMDgd7Lslxns}UUHY#_=C*WD>T&pZMWt%ItVDz4u=e9If{k*% z@P&&DJM_!nEL@Gtcys4NpofyP{0G4~8Fj%|QS$ddhOy|AUB|dmkCnVw645np{h;C} zd!i)faC(u$8Zq_1iS^-A;uq_*qX+NI&c!&KxG(%1iHM1n#E%R$FUGI7`(Cr56dDle9nAhX$p&VIW+uMvZN_r8JZI; zq!k}|U0!4_zA4MFy-xGngYU0iZuwg?)b?zi-54(^^yHIp)T>$BO%(-yZe}SOO!aA1 zg(#a94j5cy1zh_0K)S|rb=0AOno|c0`@(Z0X3b9y7H_9a=5;Wi?_T#@d*_PK-8Fab zeT&m;W&}jU+?+n^*&lA*d2g$Tv&EBN>x2UYp5u1CYYB~X?1=awMq@9tJ|E1fk@{ax$t5)Z=w+dEj$JreVGdGueZq&a)W?@EYZHvbA7v1Pc z+G&aL<`t>iPK!%j3gqrmY3Uwi*?rhsu_07*>#?J}MIySVjP`zxS5xpvZ+dWln477c z!}oS^PXw<*PfOZ2soRFxe-CUszw)oIUw^61QD;#R72W`DWm$1-#u-PR3S7yKk<>(k2HeTfSR8% zCw=YkQm0}!UO40_SmaBsF)gTHCD?fm5x&Cw?Bx1}N9(FLO;F^>GrXUqbVO13HI0-9 zlUxP%!fjR)k0b>ZtmWSHn1!rM8!_mrka7%`*n65!P`1U{Ppd_VpZkM)SIUxd`WL5O z(ZMY%Yi`e*&&^9F20gnm#8H1E-~7%j+sE4J{f?ZT(iTgP(m~6OQnj~cZH94Ut>gS6 zB|VJ00eZ8uqK7P$^DnQ$m3}TvPSgr;SEurGeSN5Xv?ch1wdCU0TkAWi-fR5hKKy)Y z!W}85b0JiIuAJ+jj@o{AsRr|)aop%^vy0e)@X*MsvF(X#4IHy1vxailY7Tl|wwy_9 z&3*TCL(_cl!R7?fH#=5UCJx(6k361r*s*$B9y=(ny@GwcnM&B}7{jf1{qWHTxJ^0z zZSJHIYf0_ziw8_ViNeQzDWL_oQNOYGhYU9*1UBjIU3=BG)gVXq>z{aG7Jh-B7&ipk zH1${Sj>-4DJe5b2xV@L8uBxvoceSfg!7g3pFz+NhpDIUvq&9@6X^;1u?n|`67gz}|8 zadT{Z%B`Qn3p+RM?dV< zfNJ4W=aSb1$+ zZZ?JypmoWkHvW27|M}~~tG|@TbX+9Pa!J;n)p&baO<>_ef5XW&YAaKo8h@l*lZc&7 zAd0JL@Tou5z4IgC#agk5Z6_SPY>pLOX?(+7W`A+mRyT6tg+`o!zVp;jb+ql_vcr|b z7db*Q7e$k*t|#wXogZPZ%6Rr_ob~+`d#`}AS`LG!YazfR`ox>FAY%N{EYSC%R12%UuVk0_2s_kGnY564@LgHhxlK= za`-<>D+YO(mYNvEN4_A(9Nz|1uym`uVlQjSFq{=jJyyRA# z?wK_m=fw%xeJb-C1tU+H=SuhO@3PBhN8*+rUS8ff z)t6D7{VtvFg`C4HegS#^Hw|8skLUNzo-$u`(P-=XVtl&Qx25WXFCt4WFP2Y;X_#rI zPE2xrewflP?BDWSZE6Rf?Z9vmYyJD6AjhPX+;^LcvNt&2KNCU_TVeE8<8t}c{*3%l zJ@$?6j3c;}541(RUi4Z%e0!p3<6nW@M;!8|y}0Biu7;f`bvvvhTfcgjJ>BkxXVs<2 zt?BPX{;ZN0U>S3}TwrI4I z>poaYKUq6{mlG|LkrYc#l#f_J)jOvix=$`-$Me+7@q%FCK%wJbi*2;?dFroHJ_vj3 zP(4#7N>8b@KT9B;-aUVRG0^(PJzvx9P2t@EH;cqBd5cbsFS0d!h&N6fUf7ZKHfWRY zDf|j;oibuOcrYjNZ7=s+RQ^`RS4+m}kgg(aGGE~Ble+hxPaFui;YD{;%qykx+=&nI z3j8Kh^ZTQp`1oypz5bQd#gw*vInL&a3Lll~?Us_SJX_5uv3K#@?6@;Bx$|LLZBO9o zJJR1H$eI`IZ~ovO{B`i})%zmVS1+2W7dUBOy-*=4@#ZRH8b;tg@9`KO`}KLO5+i z;N6(Yskz07m`^{5P6?SSq$j`JE1e~;;`fM zqqF(V*4nUVKSjA0R8}t}ob0FwagO$@>h%z)gDBVwR-W2L|j9+s;ayMN!E8`1()1K_pPEID*6yU#(*qttr9>zYqwdczH zZkMK=Hb;Kg@OZ1vuF#iVOLqKSt+}T~(e&w;gJ;DOdbuYr?)!XYs7$Uht(*;H4fJMO z&!tzX9s%WnLBaK0cX@>p?zkM1l;v@`tk@+8;50;*^0;EZCU+V^6nGn>wo7= zeblgR5Ir@jQs_6#cgU&_#|cw1^t8{Ar0&bOJ0}!)6i=+1?TviaG9CIjAiPh$NdLgjGF|V&KD)uDaOb0qm|+w1w!%&iUS`)Qwv?2MS>mc{&yqymc}QoGFadm&$EG#tk) z?-*tUtER6tH|aOg`VrK6yluyW2ghPp)tw!FlqgrGH*=jkZ=j9u-owS_Z>^6fcAv`n z8UOrAt&YXVQ-g230we7vH+_A4c&b5NE!fGlr=;$D>jhE&mB)n_~R8F`aSj^ zCT19Rf+f#orM|u5%fIl!bk1k`i|2f(doh0SsODAq z27{qpH92W&&+G#$_UsqeE3-rQRw9z zs~0!d-q^b7v*U|KjVklFgVH6NdxcJYAGtI9df@XX+wTv)gk3v48gq2=*WeDBdr4oV z*jVSjs-i+?@vtQGEZ zk8+^2IvkS6nU)%aE6r~_ux{mkzbmr}@tZEb6dio+a6|BI{zBM*`O@mQ{Z68VsamS^ zf)nWq+aG-M<#@jR!_{F>R9t^s<#V9K*Cq}!s(9R|Wd5@MJwtvm-l0Ed9(K~Cg4G=6 zhYk83E)@XcHfA9IC{x_;V7h8&bfU+81^kdU-?rG&X!#-uB7#s40(Cg4|nKFe73!)~kPibup#&zf3hEmMO67e#|JF3Rqg zo|Yin?+;iEU7_|z{z-g9NZ77JVwvlc-%4A2fBlD9YN4xgGJG!J>e_J2?XQKJUmDdd z>?)dwJ}rHE$24D`<9O{;F~1YE_OvB}xW>bw&K(j)f&O3oVIEe~frt4xGH$T8O0daJQ&oa*1$YJ^vobaMy3dfHj|fijCS0U!D7{a7<)8$bHj~)7z?7MN@X?R}VXWIcR-W zcwYD2IhQkzZuwjI=r@lWKS({Yj$dTZJiG6Z9Ir_dUi^;aWb3r3ak1YgmST5qO}(C0 zV`PTj{V9{d%n#DuKfVHiL!$|&9@idITSr>^QuC^p6Vs>oYxx#l&4QUC!e`MbV(8rY zyU+FanqNHbzA7;$Pn)r=NZ!m7& z(vYrl>84tj%a~Eqy6-)QEM6A3S2i8iXw)%(*i*AvRaLVdlZ8cYN13Y;hIZSHcG1)VO9Jj(1^utgwD_G;W||b%Cn{OSiI`IHt54`L z?zbVGi28fJ{$s~>TQ0icw_!E3P}smfXI&fugJfr46gd?#CJ}Ry_Xf z!%Tj5vL4!%3C!hx;Ou#!9d6pC~#UH+6Blh*;cfPuY%ZcUR#ZUrR@s9r%=O8-TNVS2xp_@Ql24D=$p;$UXb@nKB2o z4MwikuaEsaXW;nxP;A1dX$P^!6@}rC6#I!smC_t*%(B0)Km4bF;LswgJQFlAcn!aC zVD*)!nlhT!oONV*6BV(J6iTvCbJ6<%&#L3ayBl6r;7#0+@8WBn`cm_R3;+IUYrXAN z*U_?4AbVJT)6}P1weI}=13x5En!Oaf_FA2mqCIwf(c<;2>%gv0PyPsY(pFFGDE+K} zH&+r-b{76L1oLVsqM!ek%Q4$ZbCK&}dy&+6+a{ zc^%<=?WX}pCHp0-QL~6mTklP~wDp&rXieO7Y3#(VjpCP56yEVpUl&eIKQVajmZC~= zK&73o4&j^ouNfJp{CN}Zp}x|a$_f&zxOKX=99js~WM{tWKRnO3BarF2g*RM-8Fwp7@`h^|a4lwa>9H|Y^ypOEz}7C*HIxp?}; zZrQCn6&FwDHhW&4KjK>PNvlpsDY4Yd$oyd4F5f&8@{Z1Jsoc9R-4ft$RiAsF$B;9{ zCpB7!ub9~7R3SBU;YgKhFu!cngG3*T$Soi4zPc&cGRd|br%$ZbR4b5}AMmUe%e$Ij zAD=d|`0M&B#Sd$EHkhlqI9M+7onLdDDH~wsPN}8 z?=!z!VKurOV|CWMSABDum-$D$R&SZ;6c}i{wSgXOfkzatU)$YZnsGzxvW}#lhJlW} z(D1F|C0&YwvFa+VOXuz_)diC_$>CG_*Ztx9a%iH>EaLa8q9tO;`w{g9`!CYZKD{~Z z9O7%gEsy%UcFPXu%gI-~4)2neekVC5=tP z_6L3|`RNi6*-sB%(3}({J>9$yY0j(i9?#4ll{ai-2JPGUsJLv0!MP%(VPcR0IrJ`X zS32pUH#c?rl76Ls-$d{U!H19U?(03)epRXWwmD5#wN!ZVwO2u_**)sb^64)(a!tM* z-hpfNe5RqSDIg)Ou4CGDBC4#qHa?uLe3PWhXGAv{RozZfSP0;L)Ai?i5TjGlQ1HeN z+!eL&g0f^X>7mu^_xooJ^5gze20u9rR%{fy2PAc(>W6M@5ojU$PVCrSviFYgF z_%2(1IM!31-e~!AJ9nG+d*4!^K^hWv%@)Ui49W@YQ!YcG=D2nURbf2nHhafnk~yWX!O?(Oek-DFqGZfgVM zhxvu74L*~-DmdRu7eTo7z?F%gJod*M+^dt;sp^qkgtsYerv4x>xjwy8J6cFi_759A zpBPbgiZ@dLRIxIXI(LO=93=&WOkN}SZJ()(2+pRBIWPI6AJCaCW_ zb5cM^;qq)%_7Ssh&DFP^we)v8ZMXEDAq4L}&bK{Vz-UdzRk1L;Qu}B^OZ$xvRK=)o zBg}KUUlsHISn59dL^@rrx-Dh*`AQDssAKBQbAibwdygtU&re=#dd{m|z*n&$Dvsay zN6ens<7XCM*oQUUAUEziT8S&TfwJBA3P-- zJhzPZ&_;%}6L+d7dVd@CZxqKb65B13hPQ0d$TqbR%O{2j4_&KPQ$5OUcgmKxwB$K& zMDEu!DQW~el_j&$l9TqDp(Q%rV*#~2<vnc-_XIUd)ZZ9Fokl;mW!lz)5ky2k=xERAIR z=zH@&mJ8K6rSOHd#wwiV^|Jnw?3yja+k4dGy5&RTeVlc?Yk%<9g`KYfKL@)<{50+T zNST&BiY-cGeOrVLZy5Jass;4Zg++Hw5Og^UTgnGlA-}02nS3-J z#TP3(ee|VXQl$*poVk5-EP9Q~vxJ}9Eqcbni_L?Szg&otahw?=ns2z3m1uM{jTybL zYUcHg%?&4X&KS_YzBmbgNAhN$-5AZ9A#B!dqYCZ{Fr@-D>Tz zJ9~^Xp7E}I)_&%iliSG@<%N12f-Zg|e)euPbw;R?4fgN_m#4n6ZonNnXG2rDtym(; z8gHW0=Lqyyqq>bW)OTI-M-6G*pIvhE@hBR9+nMUurofZaDAp0gT=du2YZ@ITi#xu! zPjEbXLE79MdcG;TMUp1SCFr-3O>LCbqc8u4EaPNl3EkW8Xem7V`7FNxa#(UQ;NfQ1MKL!X*@0qMw-tI7WgPncBaHU z2e9Y(8HIt^AH2aPw0KrZC%_!c{t{-tKk=F!u&{<=cK9zCAM21sO;Nf+AU|+sr6}$U z@MLnE3X2?%)gqMIYoR-*4H1x{zNc}lTAO|*6oa&R_q8t)%U>(~s946&5hk+0kh}Wi zhLd#Of<~1yV;{mrfy#{kvEr7g$>N~YbAV|-0>m`?gfaW0q1nzVlw-429fwLszKIvo z7BYlmQHrCBq2MbnGDc_OB!z#T)S@)I&2-!E??KU|*%_B84^K5GK@~xD@2^4Bv3`&D z=d`?DV?^bJQ8!OIUQQ(=g&g^MOpQ3lERW$_x7z)v^K&EYoHqhBjE^FoyYge8VjmgD z!r12YNdlJa)w}cV{MH;U-@u7{m$^yqouHrYo(ru8HX1I;CU7;t5v3yT3a`twxzjE~ zw*ZG-Y`#M&Aes_W2m(p+7M;|=@4941Ey}bbumA41)*;WfOY7DMBrmX-tAA;_@`{br zE>>pkhFAjG(Y)gvT|EUO;mc1DZUF1bh=|IuU9(54^jl8WR2bO)qyag$wuo_#nj3Tr zY&{-*sb0+2jH`9Y`oSE-Mi8U+pj|TT;kQtN^)_{@i)&z$G?*)HRh8ldXuPN?o%4~M zpVYZ)zOp%LVUvO4ygA4~Kf@ByrKx1d#;$uYY=s!6E z*5lg6f;--)9&B5hDr@;8biWQ)kePu2i4-899T{hV$zB5rxXIWjvuj!~X076JM<8hg z8_OUI{H0ieFp06L7it>zA9TrRGuEDvkF7#a0O%2JctRVx(sqQcuJ89%>-PEVbIb}r zK5ibfn}RIa%OiM2Ss%2IHh%p(oj(^UMUNaf#5j>>J+Rg=Wo(4DJ`3KN4a|>B)6T zvHYna7~m9SHw|zfJLchw{wN*|ON>yzJgM4vfDNSVp0qOqouYH`OIN@$k~t+=Tcmzs z$#lOb;&{*ggm3!Ay>^)Y3Pxp?4U$U%#&R^MRq)V{RJ0^Qmd}cGnDwjQ9BGCx0Q>TE zKvNzR{J9rEb&ZvHbhs2dnwF>1{@alJO=|U<-_)zRy&eZX=k#H|6ZX@rUgEa4U&DBmwgH%&TlN`Olq z;J5S0Q+-PEP=e5Ga!UAgR@~Zob3jCdD6JQ9k3{w-p~U z>+bCXV(?M$(UZf%;KrO2ho3X#gUy`{mV&)KS3(sr*VB5=n{s;K`uGCVXWE!Pa<766 z70@=C&UX@rcXWoP%gWXQQ=!9jPDkEW?WnI$%i-+bD6xtX-AUNj?X}uun8WM(6)r!5DuJ7)8wh~2)JfK%-wK>y z70uv=-@%D~9@4ppMxG925Ti{!`#Ty(2FKeUyvvxI{K`rh=c!%=gYPhr{!?;_*2HJk z7#BZ^<-3rQH7ns9K6ESjE8dY8mUgwKy--~NnBOZsux~(NgQn+Db)-8wvN#PiadG<6 zENKKOeOB?4wgSff{h3$LHQ2s^yq7|>wot>M)YHS;$E+iX1x=C=GbD#2XPOQtiZq-D z4oTFbd)!E#UdKFJMWR z;rUk%6(>K!oVG3ind|{7b%A>|SOcW8i-p&lH5mmIE{iUJN@$ORl;X zN+#XPN$|S{Bvhs5PS-nPkx%r!wpSD{EZ2Q6akeT(h!N? zRTAo4{7*S++BAyY2J2fn4>=Yvri^0@pUgEhWXjO#6=^^LF;^A+nX)9WXJ}?O`P(0i zwCftz9cw{m{!0=o!(Gziw z9T2fBJ~dLcnArLOaXDxG5Kii4B;hVTfme^m^^sPBg?bR{nf^|&vZsvV{D4(w69?l! z3wgFIti|Mr>hxm?eGa?p1<<)|!AUwTOkJ|Y5-K+_K6(CCZEEF5|5JOK5rz|O9|*Vq zA&zk~b3z6Db0NFSRR-<0PsnmK-h0H3{@#1)9W!`&lqyjtQosB>zLB&lN>eOF{AlTgm=*Eb-uihwznM`C&_kJ5KI1 zL?0JDXOqb(sX>JR|37r+DDu8%QAes!$&wXL@ngt42yc3YF-93Mr zkA@OrYr6OI?&G69J|OQn&08$`4$9DZ?F-Jf=iCeB9Jnyx1@9DUuG(f1fQOU=AqMdF z6u`=YR7E?Lrb*k3eSL^-#{f>Kyx1jM;?zmH?iQ15n#7GG{%Co*1?!hjtTvD+etwS< zS_Of(-J7|0Mdxp7wCBuz9=>;uy$br|U`d2@9d)#HKk!kv5_L(xWV>5?87liYYQ6j_ zQkssh*&NXn4pDwx!O;7?5e=BRNn@t3Y-81DXRLapMHGyNOk?5iOV<=$+xrM$E0<-& zn}cL<{EYsl&he_J>M013r(=LW`rgN?ahtk$drwyLqAq1+p14hb#K9A`=Y7c>&#jB~ zwl%5;#e!@YfHy%8ynEOW!liXpjntIMNr}PdEpUaf|JrEDe!?L)=Z@Hy&U|?jwrcaj zLVbov?O@#nEQ`>g%aP1VILM-@LSPm~91XfZ2da`oJ|KlyXx7hDIewnE2Y06dnf!s9>87!-q zaYhFNC3HQ~H>UU_vHsK{B1}~<9JHI6X2++fj@93A=0O7T(6*Z>r}DD^CW8ArqTzne ztZQA;?x3!e5W}390c9+xocY59HAL6A?3d;6)JJ_Zeu9uE{WF5*KIm=YX#{AdO<2y0 z?;;)XEU{khLCSYH(Mu%D`ZMsu-;Kp#!k$Gmo8}h`K6Aw{Iu7YD7m2(wt|yqv(#j`8 zR5GKQU5ki_Wx0|YC|o{A%R-J;t2kjvJRxNHZw@nzBFNXTLMU+vtOYOcDJL1<$8YgA znWOo36gmi|tr{M-sQ(0B-zlL%#u|KDZhby}@Q-JPz^ur}IO5=hU+?(NI0ZF;@*kOm)mcFs)L1!!AOnX9)B8(u+QT7nR7p|j7rm*aVQ6sq7euaG2BrqiS8Zs zQo_hiIj`1vNlza95|<||<0WsxkQ}HdM-ef@{GtoWpMj*gW!pL}n;;%maViq>zL2!S zXkwwpYIL5d?ssteE<{k{vdUe_O#U+4>Fys*IjK4{WaQj}lY2{0N+yUL$mlu>J07^T zDX@!dB$3jJ>btBcD6Q`OI5-B=Pzz37-%W1+Wvi|ODuCASl~gFktV9w9drV5D zSkp@4dBeR&KLR{XPDH^&A@*v8=s}Y!5;;($l05}G8!m=j2*IsN5@kF2&3f)M3;%*F zKszRw4S{do!&92$@u!(O5$!B&&c%Ka&(GGkuNNl!JrvdV3HE z(&jb({L)MVWxue*Rr8ZUj+6;JoM|?9P`@4qTqlap?$LyF5SkY!l*O9mwk-7szOSm( zsXj53PXn38*FRJTQcyMt09WcSmu*1#>)zxSpHd%?yA~QmgMkY=0?ayWBqolTSrn65 z(1&n(-%C+ZplhxUk?%BE)Q%d~v6eBlqqw~6JP;;&pXL$2>RoB!IZm}^PfT#2jUpRq zPp<81w_gL$dD{4Nf{YM~3Uf$NvVo)OtZD`Q&D{~MsF9OGx4+lq*CBkq}&z}nJM;)YUS<^j??SETn*F6i7B?59u&-8k* zLkT~uSk1@$H`{?_mC$Sl z@9FyMwo%eAe*4TuVB=r#q#As{kK9Vt_`wCO(Pj1`MTS5zl@k`P&e3zM3l(5qdYQhG zvNwmT$_YTL+aZrzKXBmM;S-}`fg7GU#fjRr7?3v$AjECaEK$VxeCo9rpkjW@19hb&VEDBZei04*Zm98ov<^CCSAnE< zmFg1o(y)UTEX*w%IvQU#<(%9*Cw*MI#Yn^(X@(m?QC4fwXCCZCBlqb}HtyM6>xgmW zNjYi1ASiH_ufS=hQ}rfxoqaf^Wb|!pcY`uFY1B_}pq87677$t<-6U$1V5R!Zjii?4 zBa9A8zL+o%yoO;mUaa&uYi3h%dLrWup!X8w9TB<)g(>G|fa2o(PHwK}SBYpqCyclA zaDvNDudy~u9u(I}!mt6t&h#WfCqDbrrS$Go1jIm*%4SBQcqL+D7NT>^ z{2@-)&VEw74p2eEEHQPet}K6Ex+@R(U<2K<-WAbREitTG=;eXIH8l8iN`pX*HctK7 zXd|0c6hYKGJ!i8}eoMT|TGP~& zWC5b2yKh@YKG$!?eZb>em0sI3XcdHR5yjOl-YwLLSPd-X(KbFh0eUyp9|$4=*h*qU ztOf0Y%;4*JUMWrCwmAkR|2;O4J3?Xd5-&qDeGl$FN?k&@rA#j6HvPpOno@Ii+OEmH z#3)o^nK29iV}jNT{aYa2-+AwMQ3e#`vP%X41ApUH*iQMG*T{ZR_ZPlo3Yr(KhJvRi z|0WFR?+H*-@Geqe%l-sS4N?ek0!btabohJHVY5H{-yA>Y&@#oiba_&iKs zBNV#Bm|im95tQWN+Ol$_Y_mFO6;aQ%-*40paNWSP4@?rKAm8cU)F(mC;C4bj^he-f zcwaUU3V9@|out9XVM`l0#NO5^TdKyqS_OEko3RFw4$;qRz(w|5-H^5GP)!dj6P5o?2gQ2^FwgvxqMs7>#Wc<7Fpf*P{cPF*rbaj;CV9rj+!o@=WBWgaVAq8eh~q zq#Y6n+{k6FU~E$@DJn-aKFMQ;k2JNt<}Zqt9GupVf43$w{QW@j55YeK|58A(*eF~t z02{`AlR`OEZhaUISypX$GNDDRRSv~zU51XBWI}HV!cc5K{e3HTR*9d-ywjxz^S2R9 zo8?0g)e^?bQOn2|{JwI9U3tINaC+XE^x`LE5*TY7leMh+8f|%je!~9Md=X=w zELzQ0MC?ESuc89$4xe+2MW?*XjbcSJ-esuTpbXZJm~N?uw0qhQ?DIgv{RVLUZA=SV zyHpN?{PU6y#+o(Et4kqBJwyu@NNzv@ww@|4!gb-$u1t*VEMjm7kF{#;0$p}=XGY>u zXm5o)5Fy4Jw65Exb5m#gz-j~4m5n;lvRiw}9lD}B$2bq4x*cH&nV^()ni!#L{8RA1h3H~{fM|sh#&eW86vPf~$ZLVX3CJig7M>s)>2o?GP29uK zw?(IAS3Qk4#i;>)$)D#Pmrr=UKD?KN$3T`WEd*sO&OIv5rlZyPQRy~x}NGt zoZ@VBW14F!S>Ov7hj zF!`G+twBu)--^pe6ArK@zXl@ENupCKG)M3lhH%8=j{jcRArinof}0!OH#c=jm@Q(#lch?OSn z#^0F^V1dqh1_L%~a?PvC7!4W2oB@Vi-EbULmk~slkYsWsqyH%zyOwYt7uF)7wFq^j zwN}U)*S+*_Cg?a-N|_8>@i=FgW&t`I1JT9Q%8p=RNE2tdGb^d|?&=j(d-%gEpQ?XHol6)MuF5aj$I z&(6s}jdp}BLC05US##&U{m}EWA9bGuj|FW|>-+TF?S*jlRJo?%FvtNiFqI^UH&NUX zd*9xHynlm;=`jT{y{-`aiSI{E_sva&sb^OICR718_{0#^ufbFTVbsz_Mw%OEvtRtk zRJR%%6RWSvPE1$7N;4D3fZJGj-ΞHxF1Lfp4bLUO6a9ql@okxfkV+Q_X8RDvpxl zs{>%v;>%iFVFM!fA%kRfKtC}O^E1uz{MNb}TQ}~;Uhr&o7@$6;+HCo_DOqDA zW+qIOEa8jd?L>hpkbgqKyy@#wb2alf*vMwTXm%1tQX**E;eif1&l@C*WoDq48FC|xaJ&V``>M% z>=X;h2G#Yn{hCbN?ZL(*dvJfyk+iNL;%c~)O}3l@Lk|xe6f?x5Qm5}MlD&>VpZQnj zQC(o|!9A1QH>a6gZj&u6=k)wszlWi>p{_jHc55YeK|59*$(u2X3 zJm-Ps*l(}xSOXiJYKl1k&DJK~s6YeIgGQQfLt)QIgn^I(_T)wkaBu&6 zm>kS*_>1lZP0^9vatxzZaEY-LFGT!$r*Q-7CGiEXx2;`0asZ{636;e0eZ$iXrfAvL z4pP;;S`~T0C{j;*>hAPnBMo`)uyjbGrjRqs&)e@!wG%W4nBut{t$FsikhagBjYjh; ziaACxo*)H1f%YUHm9Jr!P$wKderMI(euL+PB|gi9j5tkt^Q3i{H1 zdm=zkM)VT{v{x4`NKW#RD_xgi-se1CG`R;k~zxc!vA zh!iXcw7AhD)FT{sPz*Xr$I|HZ279|MPjpd#ZRPYBr=Ahk#S}3;!PdTT@aOvnPD0wPG-sJr!&gw@hw|fK^P{Fc2DG_J+5d}9TsXE(O9ot z9w(f>R%=p_IFJ1v1qXPN#6EbZ z5rf6AlvTm_M$xX3OGMscuJeYP4z??}zT=FyUVWH>}$qY;K#W?X7&s z44n#~di&21d1n=HlWWEEpBEZbt|J6WAfO@FgqDUpa0hMyHjbeWzN9d{Ei|pCy}#GYr~ukf_R$oAsMHLtuD4m_WRGT1ZK-c8g43y+BL=5 z7wc4}-YW%)cWZ^z5u;j+;7sxA-5LFoyP*&63-Pn49K|tsgTc5jXM3x#eRIVlQP|rQ zH52|ylSj`iSZ%F6!fqWk6^^u@t(f7EJD#A>9V09 z&UT^HkML}|h(RQy6g$H1q|E98NMru1?2!!|w|fEwIbhE=W5m;i&R@vY>{ve0Gy%7S zbz#mIeJU9DF9KK~sHgy>NT8Yj7>k}qN@$8mxGSa8D9X1pHjD;0CFCmDcOjTx58m;< zER*5Ng0df-2uDtm(wZ!I`cE+k1OTYez`R`5=Sc0ZZn1i}2y;IHyVyU2RAMuRVt%f0 ztq{ih4uR&d@?tQbuBVEXMP zfX+6ydE@5C-|rh;a-?pvNLVmFRMX(>8sRTLN7S#h0?RQdQNNqnkGyB`61o7N#gOA| zk&aFEJc+CWB;MX#TPM)0%3=6py9Z%`@&W3$2=2Ai8)u_2;AE)F4&kDvKZd3JExuQ4 zO9o)=@fwQ{cx)UeCb2ukw$gwn>q}|M=gv)V4*gyo%o1B%A1?Y)*O$o-O{SPPVvk+6 ze|FYBZ+Ky!rwn!^cP3~ROteBI40ku8BE5ztg8W}8m$e?6+5{wQ7MG=ZVw8#M*4>?) zyNN+L3V3306z_-?P2Ikr9w8ClT(9#<#a?feuG`eG+=$9tP&gjp8C_cs30;b4nhB9n z&1g78#4QZB_^GnfuhYFfOe~}wjn=FP0wB{FBXL9pEWPib%w0?sE5J*x_*XziJN$qEuf;O8W!*8;P4pJ_;KIhIlq3p1-m{- zByxz$wIld2>F;G{ouc~XuaYbM_LqP)@ zwZ3(p9t;qaLAK5~atM*GalZX?ZJ9eo_h?Fr+SyA}V>FI4_ z@!#&)jIp^Rlec`o>Ib=kINl5EBa}OXFbYe!M~%-f3ezOQrnE~h6RhS@SCbu1-D6k^ zau`vx#l^P5NSEhts9lqoD~&eV)N|Qi$6WZQffAx$j#15`W3zIT-ohg!Nwbyo;&p;8 zx<(Z3yv7sj5Z9x&PkHhj$~RPa6M;Qnz5Zng=PA)U#~AdfidaG#-B$>UeQFBNSqu41 zq9x~PXwkEbAs(mc9pYZLyD=?n64;0YT#+1-x<@*W7|kZx7cv>Zt9H5EV7U`n9s{0XlT-C{8j-Z6PwcW}sy1StFv zUq;%MEE|CG3jO4V{IQ?VE$%|(#F{1CQL9h1DmB78j5ArBZQ%s(^>N;m!z(Eq7F zSMsQ}u~7w6Pztq<#q8`(>v0qG9tYtU%WtEAF~;|2{ulmy_ZC(5k=~^sD#J;^x1Z{J7)Fuya_K zsh2nW;T?m8fb3M6=HL8jl7u?@3x+{s)q>`s8SZ0A17x+bCwZ1+cQN@C7CE`Mf~>1$ zZzF_jWI;@mHbgWC@L;viTKoXI?U)UgZq)=*x*1L6I_F!69V-x)TZx>G&gUxjghLPR zY!{FUuU+^Lwi;K3n<-4LjDYCGmhw5-1c?hO3ZR%`5^CyJ;ugHeOI5C0OiJ1A6AWEt4tJ1Og-R-^f4_(~Xf zc*;|5;cptwe9+JFFjNL)0Xl#5i-Ja)MqQp@ww}sEc?iy($mB$nB5;}*ru5Y@{~~Y- zGZF|?bjjJ%>MCI1-R{S!1EoW^)YnPdE;3<9OC%IPz*o^#(S(@2I#XHDmWA8rW%9pq zd*p#3F%b7Qqre;`7vG*l%$lsK2QGJKo$Cf7-eKr=81n@-b8L&A&@=sxsk9=ks#_4H z{-u2Al8@&wy~KkkIsMR$OHr_!-9;>W`{+50nc6AC5}%q5AMjD@n5ZwdZ%5knt`}jr z+XF!~l#>Cn(noD5c!J57W#bzA%!JBliK&G!E-fWBr--(7Na>5x_AbQBia{OVcKe{} za-HMk_{anb6fIPLy<9WL`pO>J3~JolR6BTs0m(Zs^sAZ zmLaPm&_K4+Z>_pp=`xqf_ZYqTfU$5~dxl)2q)XEO&tAs&E@@NhareJt*oqkjZ>=d( zaA6X1{C|?B2(kYC!&|XZZ`i&+ExfQ?zvRvXd4vBQ;{0Ztsc8sguJU@*D=MmX=78Z2 zNzqckCDe3Fq*dY|o5`cn8Om}eTu$A7Bh$kfoYzJL*pR5i7__h^m(z@&8GG8jBE%ce zs3MmBCHO?&-cq`)Hf4`b9PP8PV4T=MH4dze(@0Aub-h zb+t<4sWqduTRsTAUbZkDGZvx`?TkS10B6zS%>_7&Tcoo->ey$;3Wt{LFpDt(#LldN zX)zq~lSki>vcsDz*Y&=b(^6dV&rwKYyhhj{sqaK=i%Q#M0LXy{9Hf5L?I(7fmxaP0 zwHh%%=`fdcy3~x(n{S|UDCp0p=-?)08FY=uLjH>gf4SMmh^|QY- z&9WjdYdAyu96d)VBywpps}qC0`@0f#1OkMdb)!OzQni`CpDf8-oHyz z7$6C^-cBKgf>Yk)=pFk`bLC>a-0>^bmuOyHwiHqFQL|0*FDWuNu`Bj(^6JO)(kcx& z?YYKxeV&&;UkN^@{@WOgn2GL)Homs|!@Mfpjn#^Rv=AiN&3|p6U?N9q*t0=akjKbF z5k>bn&CFMXTH#2|YY*i}oU_X|h1>u>aU>Ck?ryn3D2!zlq&4qB*|5I7$Bf+VI93L6 zM$QDv>tT{%O!=xI@}TXLa4syUmOMkN!jbVAXIEA-!Vw5!p?xB5wJzM#sWx~HeX}Ex zbX|%Y#HMFO+OFb0f73E;)jU9Ki#BM4Tn}|+O|CFbafTZCXd%A!4`y#P5DmgEygX`pr?DVjKXF(7thTiha+OT-<>^v{ISW40 ze1?I;ReOp+rbCFneCyj*)$_F$_2I>-`+zEKbuoG#Lwv#bi$HY}*h)Y=fU#|fqPr#4 zl=FAusO`8J+y+X+FRkL^J*3Ieju|-x$(-hw>*~>(fK|fb+|8ipPZl+2^Bt_tH^L7x zs+Fqqx#g>$azWQNjDr}Pl)YHqz3PmiDP@m3(0IhyxIWhHw+aS(ANwf<>{qP2E`D)2 zVlOsti==oen5c^8Ux%x>BNO94iYdRs1MmmL%44X}n+TH}h6j&SPO<#6;C@kQ{YL1j zxaPU6{=HE)I#+dk|Bmo`z}v6<1RHhxQtR)y_GqOE5Axfs5H*aov*F8fu-~+khkR$+ zC+}pijG`1?&B|~oZKg^>9Q9nJ2?%FHh*3?6L4TI>)DB@5MF?E?CI!6T@PJJ`HgOj2a@6jmI13h$QNH6@@9qd($S z)e7i3mW99k{hy`3hrBGB%hCs((rGh}Sm0sj28dA!NkODalr0P2{5`FrAiV`BJYu%T zhSlX?BECZXiy+X6kBwnbV&4_sUI8tL?)F>X^Qv9;G@_y1(XZ5-V)~1AxBfQDnqxV6 zNg1#7s|DW3HiH#~6S>{9LA62H8iyFZsa4wKFIzmtto5FfC3j2)}T*~AZ>WLN{F!bd2@9)3+sd>hy9yh#mf z9I34g=G)N~&g7br9^`SP%z|%x;?jE!&T!}wzH+$ti+V&z-(-7~Bqqrvldupu2S?Pv z-!-lYK>JYWFtfo|5@8)+04ybkKJM|2V9+53-?wQnbwNVX6{}ACa^PJ?PT5U3pga{M6+6 z)aG9O1FuX{mAqV4XpoD3_r`eUcKnn%OJ{Q3C6A=weY8%n1Rhf2B;e) zIu6TFB2S>Yps|O6FU12)3ywPmfS0Dp!af0;en^O2JI2W5GdeFw#c_=?ihPD6{Y;!j zQ`!VF_?Z|@$>})HB71xk7I(h5zt6APkuakNWaby{Mbc!>uz*Owt@mDyVqWM6LLeGO zJH@lePaJHlKh|>c93a))C1Ab$s!*0Nl4m?zfo+yW-%m*jD8NaUjTpjmwz>^v5DK|vX1AoS{&*Xbpn`cos3gpbx?m|<-?_QpPKKomD~a8rgd5R- z&!cp-r*E;Vkb`7id11wb7+S`VX+&?i{K51G9i<2dHv|-E`5XlROspF(tKmK1YiUi@ zA^vZ3R+(fVpdJyoGvgvsWo4_t?EHAtej&RS%PCE78L#aD?)72Ulk@aif-EFGK{`lz_pUjf69c+AKG^5y$OBsO@| zIT3gw!Yz1YJT+q&>pKJ|`?Hu1IgJvElyP_N5aS0lkq))9cEr#;B!ZYJ+z(-t8qb>L z(?PdkG|INghOcS)!E*5k6wwz(rkfiHBL&d9Iz4?k*H&I5FghDydLKFu=23PNz z6gmz=kdhxpzM)7hh2G7xq(am7bW=xDeodl=KU5f&TbL^uW`{;PUO zCT#s!j@}?^*hGdNV*4Z%jr)hYw9?^AW?{chz=jdwQ=(zOCc{o@!nleFw5+%m(HaB^ zh;f9VHbwO^@lJ4wIAr|vn6tU4b15{zi?2nk00-z7m%%1TMTA3}6>j%95)4vab$>Wa=j-GjfW?5d~;fZxPS1hxvdkO&>x=(}tw@Lm);@ITNu*s;6 zpGq>AB-$g{_B9oQ2pUvzuae*>8D?KS48jN1R@}05^ykHRnJrIvm|@nHH*T6=Tnu&& z!EEOyM??L9o|p4$sLTS?!0!#zbcM7wcg){uHin)!LomLi_Us!ebsil;xyugWK|nz9 z{&&p$|91UOlXZh`f)-dAWBlC=pO`Sm{4fcjeO$i+xbw58m4g98J(d{!M+Ld1hdp#& zW!zi)1nQG=Thg%m;Xr1AUI~@H6gGtBH&Gov%f>h5hT`VJ|b`{l7Qaa2mzyQIq7GZB2Rh842RrIpAT#k~~ zj>oU@Rlo+PAlEG=e{lsK8iV(E{KgUyr8(-y98AZIg5N63r(oc19z0&o(|Q;SA$caHYd4P!aWsx!m|k z4?IQllbaomUE)(_r`5Tu1Uqb&JIWLZxhAx$b;$U32Wo#bboQ|q79qZNT+z_(u$0l4m-@h*zm0+)tz7*~Hyr*I`$K3HG{qvHWU?MFblioYG3qE| zlLymw5+$~O^OTR{XXF{#?LS=s06&nAWd zpt~%k5#F)XDWPeN5uJZBZ~_Y3OoMgL*&mUuwl3{-z_XYl_=D&u{|&uC3=~lbn}sjw03&~k*gwRg6L4zalDL9|F9

jEpLO|r)p{EFADf;o*dD|8tV2wc0LN_^!b|$$Z3YjJ={G?16m%%Eu!uoIYC}sqvX#Nf|?5@vx6$Vk^7|whk=JTUBlla%Kzo z(*Oc&)`z1gG(n6aWH{zeWAj>lefphlvb6~@E&!r*%w#@x+zq%wQxwM6_r2D$%!3!@ zVK%>n6n*6`4fMkkRlabE!6$q0T>^y-Xv1z2fa7WjfJ|^b+A3FZN2l7$EW_eB-OPaM z6qjlkK%6OM&uqA^%4 z6=5WpqJf;NlNWS%SMx$CIltbd=WJ(0?CAmceECu{T+wNbH|AuZJDyHplE%&ve)qr` zEoA)uTKR+_<4-_X6+;AQaMUN9MMEC>KD=$sk}a7R%SklnZGA5&%8zIdEF;8SKYTK# zbn)J?t*Pwz?WsSEud&OX7B2v|`DcT~R6UYhBs6(0aaK%mf>V0*MdwC+ccQ)3jdw|S zVYY--{=S0-;0YaE@KLZ$;+&1VLRX^pTG+45%svBj@*HF z2l^KXGQv#~$BC(hZ8vIn6apsj&xT@#NTP)Fu$EfptETYHLLGGxrj;0{NbC0DZP{38(F8`4YWtM!EuuGMPqBuuy4n=p0z<)KQO6$4I;k?$K7WF3wdcUmbl zi4kYWJ~fZ%OgqP%iK`M)cHGdv;BOhUpVml(qO8xB38c!DPyC%Aw5Fm2j0>3@n@-oZ z;nMR*i*=f$2Im#s5d;9ucuqzl?mHaw1C%BFX&s`jG{nS3G2d?~_dKPhhysweqQ1>+ zX0Xu^5-PVF7RjBJQ_)m|LJ6~s2uHq&V6)EtaZLw|5VMz_Wre0CR`?MFo`v_b!Ob%7 zTHMaBFuEZr2yw=RIRCaOh3nd!QVe!djftP~*%F|fOSh3!1^@dSu>h(>Cy8Sd54iQp z4za;wStZT>wGj8w@&{JvO8I|;pTNJnFxn+~&x;fN)a%-VlFl2~hQzA)HSA$D6gc#X zbV87KU3NjmvS2OYt7d{yoPHpvS#G(N*L=8Vq1YfB+(-hj0y`g2=j)*`NJMR}6*!#I z_6%CdBo91!za(~=s9iw{8860^h``88>AccBwIi5;xw^4b6kp)zs|_+aCm5t(lakKZ zGWFAihSW;4|GWvi!xCzZSX|{f@QVyQCYl2S@J;Yr=uS_sRKd|ppNpWt7Kk?4wvMNC zIPefT>J`I6caCx9XFBDdm+$%pE*Jg+M*Ym%{5kvn86g zw)sA7*$`mx<#ekO1;F3H$GslQdtAf$Qou1TZB&0FuCCqPI9WWNykj%-0;2e$czcRO zIK(P2H&+k`&hyIwrWE`X2eUZ-a&?Sv9l!W@bD=6FEkYkck@#{c>{AIQ&#?=oi(;j} z85$bxJRU&sc2>8rOMh`%`c+)GUSm{_3E?p3%CVbjuewTqa0ISaYT^7l+~xoPc2qeS zW_*RWEM|Ph1TgTqFOznEs{w}RPkmmM@nj}<$%#Yn?CNYW5SYOu0YcK=BFi7f{{s%- zf94I3WxNF{d{J=t!CV*vw}OAt5$9Agyp7A_e3*!|jbM>w4*%o3IU{>oLrd~>qfkx~ zJ=^2*(qo&-3QrOiavs6FZmal5g-wR&2rJlu^$gB0yj?1NS@YrFjBbe#04QC>Pqx}j zPfJ;5C?*=C;Z$8hU?(D_^ zX=~)6R@HfJI`JtRQF1v*d;dLo*ilF@f?JG520KNOv;PB5K(W76gf%M2Tnb;?s?m$; z^NMM!5QH?is~8y!=D%BF34)S~Cdn-EW{SnF&cixvo#g29ZnY~8P< zB5x7`qs+qP?dV5JqLjf#evrrZQ0!=*tO8d<{#f-YZ;dP=BcC%JZ*iy5l)lL7!MssU z@hV-_--7mgc~P%lb>{{v10d!fk2hkcyFg{d0cFc?6A?Aul;zC)tp=@z!H6@>EhY`u z5@^wmwBcIKhA`@gSMgx!lDjfB4?1`0MvP0J01^LVAdzS+Qh7TT^9DBFyWW~Dpn(vukLafd5d$$DB6N)!aV?NvKXf+l?zS94 zI>Ui!(Q?v#I1=Zf5g@3~)%yDsF0gH~x>G`z;bh%37G^%s{W!b_*0Hs8y%$9PBT;#iem%4~|#ufwU=R4rCz4oMOjMEpSF$qmW){-z89;-xk zZ`cFu`g0)xmg|<|owq=nj25Aqlr%Ss$st#LW++TEFa+9ynz1GuVq+Z@!DLA*_o54}N*4ofz{!)6uj|tIxUGV<*@iYTmN0NDR@RenXktB_xFba)_O6{_bS;)Z z01O_xfAjJii7(<70~l(cj_M=h`{5edFF6%t&9l+c5m|uhBjc$!ipo=+6?=P3(s3LC zkm407i&iwwZA78{pb;GwZxZ-m9D9xC9)pJ%uGiH`UZOfa&RE;AqR36@Gqmc=IKvet z3JW@PDg!jbUGvEp5s;J#X1H68p9}K>CvhMG(w|riZMo$+k}ucO8HPN9Ah0*A2N?@S z5itR#Yu;?du?*6odYPhxE(d_2_J&7T=9q0&zcul`c4H<#;`7Qff_f00Y}MTwM=k&W z0SW^g%I)zrChuCAcwuDTR+N-*=CFLIaVX(;n&{g=c9kuEo|=$1vqN2TUifA{3%cM^ zBc2S|VT!>Rn?!M73&k(h*otWpf@;!dUE{ivCVST=DJ6A7Y&%0R_GxE@3|kxnmew~r zWMC8CnEw7IPGZ*gz23_uP6tzJpqb?Bh=JKG>HzENbI!88VN<6&p7$UrSB{lCkywn7 z8E|ETO5Xz^w}#KqTVS08Y=nFhk!~}%x<**7=K@66R4YU7&n~e80~B=xbK3mHh=t%u zwBURA0*pNQsyxq*GPBbrq)3}K3gnjLkWoE8@3h=JTT6u9P*|UJpm8iT1Il!O4ef}4 zDaULVnKMp~Me~=b_>K*iuD4gn-O`C8A35LsCF*t%8UuRyRv+nXmmYjZYThX^XLpAX z#9=(dqv)OzbbM~&s(;e^zv08iH;h!+c}X-yOWV(%BjP~-){|piWfytkthe8! zS=W_)h$+{UO!36T zTKREH;c+JQiE<0Nqsvr%hX$RVMX^iEdEfgF!9*K~Z6fqY2qqQd@{)G(8t_0*mTpVe z_%9siohHAg*T;uW!J^>>QWX;e!|!M1ES6Y;YpD6vcD6XZPc9Tg5wjkNb9`?L57R#q z!CH!W8^HZSI3ELJT#B|8p2SGKv4rR*)f6^_=vn0*DN{L1+so}2TrA7l9|#>{i!oV~ zz3*1{%AJL%I1!!+16_i#i~s0-HeS>L4cFz;ws2(_erVW+J@zKQk-on)0C%UEA@{3w zhY|8&1Z@U~VXwttW`uC7&LSOBfgX7c2%64Sh5(`hs=6g?R#Cv`2bwC3fGWelv7*C? zZl)s;CIcQMNG{3`pnLS#cdC+=hvNi=0a*IxVaz*m7W}e-Cl;fx9jUslTY=D?D2$h zi2LZ#XQlW|bGIE?`vH81gZwS-a<|z#IjVNCm*be1N+poGV^BYjRCxmfRaQKm(`&po zTJ{5;v-~5zA-6Q%zY01}K-lBwGNVKzqwwUL28nyDuX7D#S@>u1#|RiG8D4R5cgatV z)v00uO^LK7wEd3n7ISh|Q78Z_sX1v4Uq6ImbY4pcp@rfb0003I1FX~~&gvR~oj*q~ zRymK@pNSeOCD?;Luf|;}qj>ZW9{URrR-2@PksA5c-0Q=+gG6JrQQS3uvN(uGv|#_i z13Vmh#tAlG6c$J>=mn9A%eoht0SgAEyqk7W5aSBk5d+Ui_ZYFZ@NNMF?Dcnc#EYvZ zL;jkdlQ8#l=Fa3k6BM8+#9FGryDxMr0K%sk7hUMO=bVI}?p=PeD5lr73Lz-LO3_R4 z4(*tc({FoaOBu}gYpk&!_J7SiRTEr2TilhiM)Ia(@!kMGMLc3UlS&-j+F?{+$)-y)$X~-@i&^e=tQP zMiM7z$|DoaLfoqH`c&=f(joNo6n|{chwG2-5I`jZ#4JE9x(-*rnd?V@Drvi6$J6O1 z2Kg+qL{|1Bxl+Iz1LA}+O-pXtLd_=P^8+#;mk6&Rs~LofNbA<(t%4U1DYZm|_`V)R zjizE%?Lr4%KSNgkxX5fGdbV`ivNjicAxL(SP`w;D?k9@i@s{nY4VX)QbMtD7&1IKj zZatd?76YPbBr3gnXLQ)Wdj?`B0uD3wATdq36;ouw4akwvj4A_5(XTx-l?6|)U@%;9 zC~rMXmdRMq`95~M{a~b{QWfAIXZ%T`1{d+9W&-vR%XQVI6aoP?ieq(QlMjIFax4Q$ z79!VolH5N6n=8U92y|vr0ZL!%Asar^KzkMGT5KIU=@HK=4lWu+MhyoKseY&eB8n$< zs+ls3bakQx^iL%Cx1xFB7n(P#Z}ueYuun*ETChz9>bQwfR z0832Cv-<}izM|s--@)(PyM~!2ht+ruXPz)XPP%m3bVhOC$P}#a$I793Y?>+B^yjlN z(!((?64m_r83Md@8wR7_u9%B3e=7Qys|>2>B&*#XUg`N017ov2P$m+x8%GcmGwebR z*&(Y8r}Z%(zeRGzEt~ym3|HlU017AsQ*ZGD@=W+Ey4n>8;%ZQAUK>G3TMGhu1OV*d zTtiY3X)S?j13?HU#bx&i4fDx00#HekZ3H)U7XxNe(-7v9uNORIq6Dy&aEwAc24z1p ztaG63JY#qH3NS}D)bm+8bmc=Df3g>%gtpPJ8KY1g^L%*-2wXJy?J5Nq3B4l6GLs17 zz5@MH°72&EsA+)G|(M|)9`4F?1GfJA097aVI&lOYm(R9(FfKW_l*XCI zU#T0{&er3GyXFl5PB6)oCGZB40QDRHltG$A0$=S&2goKY$=ZX( zlD&p0^40|35uxfC6804XUa=lnb@=)Q6a9}aclUIt*ZDv!#;va)#^h1aw|6rW)CiRT z=8aG*B*w2A-v-xhw0A0Z3e90e-%w2~)-4$VI;}k34H%Ra+w_;m=vOH39SFja15Q`0 z+BT7t%z3jmd0Q94xz|GDo=1e`Z(174NXM}d0RmF%;vc7 zn;m6_wPL2qMyE{7Z0s}6V6deZEb6kwmdMV{f*~ZB`yT=FP&FeX+|NV6xt=5wz$8T$ z2m|fL1-f&(oEwHIERw#VrN+N}5@AAK|DuS~d&s(nmmv3l(bH|J@cppN%$bgE?3t>! zltBwIkpqUla*&8;jVXG!jxz?YMjYb9v{|6ChMH#NR-zNgbK-@y2>^wrcq#+oty!o(~b7T}>_9WV{(VyA|6CQ(PPA{;}07#`-Zghy987KuU{$&zMBIMG4WN zfp>Gs%OVzO>%I~E#e_sNogpjA9%VLg|8sR4|4j$B&dHb$}mZV)E z))}hy{RPJ~F9>$-j!^tUmsmmS1_~Fsnn#(0^IkmKTJHjlDUeyGNk(!?p{42#uYC zzS7zQBI0_to@9yHetN89O^B3s3b_1g85vkXJRgW5PfxeNg$sl7Z799dsEf4~XA*I~+ z4P!c8;V@{s&Q|U2DdJ(T8uVpGO|TZNR(ZW4$tG4Dk#Y69YBn(UYz22jZ3#ODIvkT{nMgj-H@(YO8UZ^y!OJc*iH ze#G@!Uhv&OC0PP&(@&iN0vJOHXsUem6!c$63#|6dfmjd@Nd||uZljL!x`Hs25{G@HZmYz)1;cxp6$j>~sUHFh5xSChY$$HX z#+w^=ZM^3+8OaQt0uNW6_pLM0QwtQve8QaHaFU>yeOshwNe))^ZxY?YI`JXW8Bs(7 zM|unbCmN?_aPwL9Litg%$CtWS0!-!qk}c1}R)89``3hb%oLEg9v&E?2sj2C7om# zE#Xo|eqC1S%!-Z|%z4#?`;W_()BI>2M4J=i0s_z#?F0;ZpEJ@jz%Ck+dP|P|f3&J? z5VGne8V+^{a2ELAP4!yJxadC}I4JXfzwzxC0c)=aLk4(J(-_z?pacTSZlWypLMO;a zg!u;qLZa{=^lS?h?6gYirT)Yiq&VyiC=DGI!JXKeFBzB6cJXY$j zN)0Ij=gm5eS1nG?rLjXA_BhP?o6l*#CBG(-|9;CX@t&9)ZP`fxpxRfJc?m`{q9CoQ zuW#t23TuPLEfJKfxYe!>0;+3dYZZThIa?OO>L{*bB_nl9ZV|T#VT9bZUX#nq7Vj^} z8O}R6a~p$cr28mr8tq@F=CesWaP+XxRd#UW1OgqY4X~p~Rd;&JQW$-Zk8k7K(u4{+ z)ui^TOe{s=&>0(;_$d+x=u0`zePWfF>EW1vk-98>^2_7u=~#z^ogM-ht0|7ZrA@?4 zrY>jo{r#ue-XIr0Ob8jB3$|*qc-0_lxgUFk;-GjWsRLv?+m&}RZ)RZt-+ZEsXJJDp zvK$ryrAOog>ju(>S)A0$hSYQyB}yW`VPKG`inpBT*#+e7 z@##p03y_Ts;HsD=8y8kE0`H*BUZUFv0cUqJ8PJYJaffG0UC-&f*`x>qGNZ2FA9YtIkcv zZC(CZw6%OU-z3v#2zhbgrFg-ku9BDSxP`AsFaV+BkO z>}UJoX*0Y#K}GhBDLT$40)P8X*aKxRc0AUV^#h0&!q$gEyLkq(N-UuZoG8uPt)Ri|^DTutS0zB@xRWXdME#!cpDx!YzBQ zYQQi?6LQZ6L%Uds*wegDhm~lUrA!aP617!*xfnKxs|!%-o2~&zeAhe^qD>z`4JiG? zV+0Wb6pi&K=&SdNz$@9Soqvp133HtiQm3xp^ePxCuyb7-7p+zYsX_0Dc)?Ca`4E0R zBg12O4N3)gcaXnPq)mqy0`V7#dnN4uz`tJ;^+Uo6^#%Z^v?oPZmp-w44+S!#8Gobx zh3PjXNjD7#UEcEJDpEJMIp2|rTM99Jk~#k3F9P*N-)l3BL9}rKA4(dpQbXT7c!^VS zRWO%I@`?Gi#SER4p73N1ajCIl(=W@_Om2rWNCt7M1%dfOKsfuBjvNB&BXheiz;gbP z^;~R%9=q(qx)~tx+KTXq=fO5$a{LV~MX4K>^Wd2(5>8Jn>CW>28U8lX0y27Ok04aN zYj+(2kQCdzFuTvfJYJl5kS`{Lw>U)qsrGKx7C3O-2ns16DqK?Wzd)Z9Xr*D`gI8^odfx(ie$~(0wM>Bd53!llt$L)CjxMEw=)mLOBkt_5J)QlY(bp`fQ}A# zy^zwJl`bYPFeNT{kkKiKFd|$VK{qpH^yo|d4lLLOq)}&8Ly#aa`XB<@phwlUQw(Ai z5rpUGc~-;5GOZ31Ceq1eov|~9AnqOmK|@Y8R})Jft8#)M8BCK9>Oi1;X}a*H$@!q3 zaHtmoqek(0;@LMb1Tnh;k_CwQr$ViW6H*99i(7`T`xsX!d5u+<2ziP%nv_-15bgrW zbAt)KZv*2o)R=d!a1L(?0)&h4wOMcjxNCBdha=53L?TD;>_t6jEt2>uFB&Qe3IH;30G=yS->E&?5_dOWd2u(F(6vC@qpG>uyCNp3XC z^(d@byNO-#OBcY~e>Hn_Fsh-MHEY4{d~WRA4QrH&kT79CnQSsFt1AMrj=xaf%?v!N zt483^0(`pdL3GbGGnNMi>I`Ph#SkC_6HW<%rzv(sJxVf;J?|FeO$aW+xw4w7)8OA3 z;uIVLFGuA2DO`tY8Zi4}-^8tBV6Gv7xyo0;NoXq_mEF#^K{Ud9IvDfL{k09LI#v zzC12*cF;vV1U_a{e%S4UJ4qS^AqXcl;*L68FalYH24Rya840ci!+H%iaJN!g^TOH> zj}^}7#b3KaA|oAw(#h>*x{(Cce4Pfqq?ZZ|!)hS}PdcJX4`5o|WD^3i|8ik5Cr~?w zJ`M|4J-GBVodsGIr72XHfvRc*QSKTaM(9`n%&GDXTZU+;=PSLJ!K|%pjCKLXVB!Ck zPE`&9(JNi;vodtq{RQ8DFvJ0@6l9ccR$ONHfL$a6AU~ZNu}=0RKxW7A(-VlhUE-{l z(7b`**kIG0k%&+ z&@XxN(O-9}#}UU6QCww#m}%MKZ9$x&Ovmn63ssVjdRU1kpbg8L;3@*onsMPAp?NAT z2p}mQ6#=vh9|EYjl+L3M{tkO=j?gBz(S*AkC$XJy*Y*Z>#IhED14rA%Y!4pp>rXw~(&8_ofCzZ6EhMBW1OCi@YJ){sQB7*1d& z-rxFdH6e|kHU8Dk!>_~3S2PXq!|33%xsW)cBmyN){3@ucvP;a#gI{j$v4g#ARC<92 z5zfL@0QHd>yBfnSAOk+`)BPDAp(lbLQs{tez35IT3e4^!hlZSYohkxd2gPLqKM8o@ zugZ-A>sP0Mg2cPHzGifipq&7zl$$8DymB}HbR~8GTAJS}n1*hel4j+yn45xW@#VDf z2J;32N80?SCIw5@;tx_@!Sep9BwfXUNUwA=C1@zFgoX_f=4Saui;L1b!2IrZf4Ipl zfCTxNYaY}?6wj(5r=*Gr0!wa*gOC+(%;j=O)(y2K_nsvdo0GT*>}xRugC$1M2gWGH zd4}7ICJ{^UM*y`6@ibaP8n<<`giXI2qJv4q0|MHMT%XK&3F7%9m5|Yw#Alu<4W)8x zjcdVfh_{QIcMF@mD40FlD;yqmGPU2Ne#Xqt#Vztk6`VH8-m4)f9R~vY$|A(D<#oLO z1{i;+;Yt3J?30=A)#|W|+VOlt@B|0hzEzb&LsDB19kgm9W2<)uDgt3e-m_nvyq9<< zrjHE*sj#TUwa-m3^Ul%s_Tx0(U$yVG&RFims3J@L5*s!K@6p%6S;krFC>K(NNrU-7v5*?${phSh0j`mv zy+0sADlsQh{_J;78`MriqzdMMIf1Sv29j0)Dgy7T9c~Q*h_Vu}1Fp}K5%=KoMz*P{ z%PSWXo}a_aM;h8PK%NI8U+Ub}IbvBG?zq9(r5#9p0F2WEz64VA$OQtve~5f{s!1$9 z28YFpt#mBEBG;(m_cx7c@B@Hr0jQ1=t=bJ0_qTI;lJYuP}C- z&*ldL$0LDrK>&ANCrlm>^cEci>5=w-3= z(m#Dt5{d#-Ee`F>XB{C!L4$Pu^Ph#2Cawz910exP z;F9P!#fpaux8d;*ww+dyJyu?K@x~2nvx0k^NAfUnQbUhzfyp|7uMU%>X&GqWwP?EXT??4HZ?} zr8>U~f_Y%w0@HJD(2e^RYJZT{tKvdJc4SpE5&{GXD{Nb{^03U;HgAt?fxNc38aNuC zHoj6wcgv&F&kN%-mfQI2(G|o;oTlG@f)kHU(-(_gsGw=VpU%RiO)vtmlLzG_M9P5M zL|sfw+^M)@E)d}75$y#6g$$Z^SXCeMf`4CfA?m+hguiM4-XgkR!fC6_&p(0)r%MEZ ztA+pqDM=qSeRwDAaMqzEW4O3sL2#)KhSEi$nKbzBIVN-_gLge9UU(F)waPI%MYZ4y z=`lhHvP`gKK4y$ZGFneItkplXg*IMqIs-S7#BYLBRZH@?Xx>)tjy7NFnEt4jlqAb9S}N^R|x+ zSWM(v^oRmDyY%!ScFeRGn_(c)mu?RCMXkuHQgr)j4p=v)dX;v@%5E1l7a9>0tc`#R zpqdW?MVV4iE7FD-F$tU-)YDZ=Kll-SRzH3b3+rH0_$I$2{k!~mhEM)iIv#_9;d}Kb z{NAZ)VypvXSLbyIrm0vQ0mf`J|Mda{28BS?XpB*9%Si>I)iaGfn6Xml!17-kKJ z>T|wBD0h6=-TL&^RZc1XGrY1mMLwC*2LfijCjvZ;>X#)Iz4jR{XZtNCo&u}Ll+a9x{=l6OsgP48D0s>R#{hE&2={Z~*~*=&;JF>;>9v0?{P-uL$fSl4ZF9LxaeY&k-gqM z>EV8+4GXYCs}>=tVNFyi0!5qED#ez6^yND-Z;p{C828M(g(lBq$Y?>$hNvKGiI0^Gt||2_lS?i$}zKXCuZv&gf=X%O7#Q?3F|w<8;@3vZFg z>9nnfUpi`{neUzmOzyj~EDf;=e5Y_$7FQ&x90G0BL)F5fJ;6AQhnG^vihJrt(&VTO zmux2f-Qs_>f3XEFBVOV2I~olP?0QOdmS*&`Z*o zqV*sKglRVJRdi{yR#*y)(Sa`yGFlyn!%X=DiDW$IfbRtt#;n*V?<*o(*-kmBexY*4Fkd?;ra9tZ#y$w$2Ef)9!iY;i~}wbM=U?x?R3rXpo?73EtiM_u7l5B@FY zn`x)b!UX>u+7|LaLzMY1)=aB>thwNRu*#z)3IeCO>MHG}y<6wPD#nltA|Bg!7QVd+ zW!&aV32Fn}00YP6efMjK_902Zdoq(61$q5NyTONGxx&J}Zj6u`6$k>5t&v)h>6s{|nYCOCE0qHFk((p#}6juM$8m6)|bTBLX8YhFeFo#0wKV(SzZyi!q;pva(=U zm}8y%=^%MQg(?%VotGs?-cNeh*pU3NYcQ(IE;yRU0;D!0-8fy510MqW;?vl`FRtKr z4%;9t@pmaGzx&nL=@TA<^VQZiLO&s;K}u)gSnJQbpnAm6%3XvzK!xyc49Rax01)3E z{@)Y=*kQ3q7b~#T0{mULF?a}$gp9_O)B%~!{}>iaZn5SmQvw!xLUoWjq|nnn?Vz(z z#wYp$&qCdb#^;(4FukZG0uv5_PSS8!fj2-)F6+zeYcc#9Rh}+nvdZEU;vL}eM-ED#gy}zhn(DC z9q{L17mG*#6)>z1{CDNu4S+Y-B9_J&>?kwcrfv(LQLB1xz7cxhITZqH;AB<5F*tpz z%osD(9fz1btpFLC>gXt8!cR$+n!!Kst_!WR*UZ=gTZp`j_JQiDFcQ}(d(vpa7tsCq0B$T7;-$i5 zpD4!AlEc|x{4kU}tl0An0^Xc17QjL3`UFqZ={AlRFjA>ll`0wCH$c3Qcnw=y3bCrd zr6s)jQ;S-uZDfUdWWtTih)K{=HQV*-!>9X(7y`RWn`4xWWJ<(m1X>d{3>o68`9%>? z{1@vL$S;-G5)HJ%z%4W`PtH&drp>LbMPy8V`nU zaQf0;Z#k|ctVQZkr(Jd$0*jf=!63;#Y z035jZrl}LMuq^^Rt^t2IjdcedBUPbql8b{g0Rs5v`8gbrML-}Ac`heIlTufAL}H}k zrB{xxbU2)?rME4WWe&%E0OS3x4m%#dg{B4C1I#t5kK4= z#vo563p~!sAcf$xQWY*IP>gR1%@GjIleZxvAOh(cl-Qv-jUicnW~vXZqo1a4+c9jA zrq!npG1q!QWF(6T4u2H9!2j5Xi8zVsyj>rEVXh-WFFa-|h(+DUJu3p-t?haAxV^S{ zr{WhM@YH2hcUYO+-g(fE*>d{?@MIi(J&vv`7SH-P=KrAI+0ORnrZDSmBVNMdI5x8W zbix7xC4=g&NYptt=ZkUNbPMrmNKXnoqQYEMyE|!SWR`&!Io!EI_NvbVrWzGU)g*05_tCFrL0^9n+=GxR*xF3E_-t24#xxxo>Yx%Zw>;!dBg#X|EMI3 zxX{?JZ5A_2Nu3y)&>^Hh2y4k^cn&Q}k1Ir5BUcNg7Q_UK;@;*yW2lB4^VK+@hvgcX3_op>yY8p0 zsy;lOnZw1yyr-G z%zhuOiHe^ei6x_{WqSCYE<4&TX7wsQPS|P`v)9&eL?To|fwgVOE(NZlglvQ#{H0f@ zfHSd&oY3!jn-70fSXPT-+xSgYE-h}yJUD$qb5cKQIv?H*CTTJY24Pa2dN-`in;P<*X3u+nzmcP&>H8#Q5}_WAvgXjRQ2{L@BHV$~vRy6yVk*%nd$VE|G-e#0 zk#6r=8E&q-U!69Ig_#%?*KdiCA6JW-f#qU$X5uZh1;Ia0jOPFi=kq_Re7v68O8M6S zF&sKOv`YdMs3#!Uzwe5LJe0p%)IWe^QFyT4{L18Q@F#b_?C%~%*P;|e=g+lX#Q~#T zXAV~cKmg!h@;L&4!rqBIpBTB^`+*j|8BlL{Yo&4W_CJ+3Bgkip@*DsCIQtHauNfBA z3q=e$-H%N1tGd+1Qg*KH2h7eLK&RvYt$QOUE4+B@>^vB@5aYzMR9x@5>GcoNl1amO|Z%Eb$H(N8fi7C=_;wQqz;(_%^kdrJ2FzWJh`r^LRARB8L;-S=OJl6`K0mo^5KRe z-U4iT%(L88sV(GiQ(cnfyDYi}SrCXUbxiiB=-%xS2RE(K(Sh%cN0bRCHvb~b!ms4+ zAzGX(p~R~j`ypo_bhg-V!9O5NU$pFXv-@JvK90tA4QLc|73>P8EI?faEI0PZ;!Qd> z>z&}A*(kUmxE23&yAegkL_X~8|FXcw)s9=MjN3_pmA_7f30Hzf9{TcF!t6P^;z-1BG3k^&Hn-^Ge0Zcczf%iPvCG6LBjv1K=h?8{9yq#{^z(ViF5GU9{0}B?rO3i1563SPT#b3W9C&Cgv94QYSyRL?~#5 zw(z$PHrv9+IAzFl^XHGTVgCN{EjNTVCs-QD^8gSD-?`GcKp830e&bc}>6C@`%{(TH zo7&WD8Dx8#pbWZV@1*O~pTO%(XSS?RA^T`WtolIS9th%QO$cA@lW*wT%QxkP7X#vVf5no2!!QL-+HI_o6{ zpDy+|%dgUZVTvI)X6pA_#weAn0}kTzaNieCpGZ6^EJ5~TvQNKSoXp3jSWP&$2})yT z@k8?l6s{`I#ks_yj%Y|MDi=cyCFFdGwL4=wLqK;;`@fAlQb8|>j5QSh3i^eP0e%Za zuF!QKl~(K15u{A=O|3$Ya2*$HUJQzAHM&l17ur+w1`TXKhTr!Wb9Gi_k8|a>_fIb7 z4|@HlRJCizYCOn8(MTTAY%!BQDOEr@z3|>8_cII%AzzjgED@bG&hCr4KYyu$(@kus zT{ZfqY>CN(Xn$G?FN$0jmNBw zt~fs>!&k^B`;C?H_J$Rk?iQYMr6Yx?cr#}$3WJZfHSB;9=nBM@#JGGl-fJ0!Pc70)p0fC&&m@jkE`1 z-$cw#p!pJ~eAz7>o9E+BFgI?FO%;c|d*)jB5*NRhN7h~DJN=f}X}Cj{p3C;+2ntxW z|H);%i^W6kx+5TCEPf`0pO#9V>f4_#WmE=ffE}`;Ghu9DAq*xbGD&cystgQVAJvU= zxn>*;daAL6bqO?%7neQ3Paf1$yF$9g+kpJ)8TjT?~3C0_9Y=2Mk^kfAvuOGT)+NA)ALTiJmpNs}6g+GuL z7kFJ~_H98Vv$w(Uu^tVKpwKP@@=6jtxT=J})%AG)$2y+US|w|+f7+l57Yo2;RAJ|H znhV*^X-Uij`j3tTk`Jx8D?u1auzg_94kKZXGsy#bermHT3}V43zCm;4alzs9WnW9j z_j@~+{T&MIt+P~VMjx_Fl3`Pvehz8T5b5_B#gc zJF$OtX=DBU!H63&9Uq0Lv-Ry;zFmQ%ui9dyxkdngk1j-!#H>8#SL_X_q>4c%e?~g> z3<2Yen5~A@b9JARI^+4zu8Jo^{O2z5zY>SBlc2oXOs-0^F z%-0Y+|MK3({3=Bj0CC;q5PJ`G1@@gfPE+DI7$G+%0!EDl*#sw%^fhK0Q(w25DVf_A z#G@&{V?Q3X!rp>WE4qaAnMJq0z!ZXoJZBsH#wR5YF3NL6Ir=TPV|^)-76NGH)W4BF zd@i>kEgYFHoid!qDP)+|G=~gzjru!^1`O~MJs3d;92lj9_b`KGTNrt?|E?EubjSjD zs7Fq;oeu);p?ry}f4Ky)2Sl5RWu5~oEDdJ>LgLZ&7fvC1Yajwcyh5+jDB!+;1(0P+ zOCBK~3@131qm{KC;K#?zN*N~tv1k@86(7O1Q8XQvHZG?8!LU(>oh4RkMb#G1R{YB( zsj2{b&7A^*miZP?qsm5EA^Es3d>K?4&ZvVj2r@7)0*Y#ZJZ1EtZsF%fp0!j0U1Y2> zW(WMgIRRdldx%OY7yu8|#hLTyM^PWM;q=6w{GSf)f3~!tt2ICq&@>wJVSU zF1n~a^R)rJ=nw)~00JF?C5I9NZ$uy1XTou4m-9&83?yGb#(o2bX^D9XZ6v>g1^bc; zFLMAkh;EEzK3Bn6yZLFzu(tCS^%dWBY5?INNg}H%pq^m4_KrY2YX`2zS$&!Vy{0Q9 zYMh%4i9PZ|O@<;50}mzpg*X_UbuqF?{oZiU_|U(xjvc%D%XYqzn7>zT9X9Rp^<<)q zTpEY_?Jj_$8PBd-lLa#$p2+$MsgZmFAUj#kavEFn_K`xE%G(@ntxebvZYA7>{jf=# zFWm@&6a%jB#5aH)Y;`A5EGFOQ{1lghy*n#IN<*c>>48_PLH9m+1mRCUnku%NclqVCW z#FdE1;kexnr1u!wt3xakm+xogt`UC*MX;Z)*dcb-kVS+2wCf-IY{wM<009aGF}+*J zEap1vq+(;PQW1vZ0iUwA+SMyb`kchKJLgymSuf-BC)^r(nl5TtHOiQ|WRp4~b(-I6 ziY-XL*Sp~wGmQ(8YN5Hwt?eh11W_P$*4?A_L99`r<<+}Q5YbLB5_v%%vh6gfe`C4h%TxY z1$=>3&*>L*NCwBYO)*X`cnn)Yvwx$0)eS#+8asN?C+&3OX@P>Bl~>^QlFVYY2_D{7 zoCtkY?3F<@?EBcCX830c}u)is2Zpw~e2rYK+6^d5t-8|Ptw0``NJMM{3s0HvF zeLS~WrBde=N?%VJGDGeWVCM`)G>fwXy&6z6daMLt03(EN z{jV~+`9C9;coPLBQeUM+xO0S9Yai=8WN>n1u0D2_xT&}fbyGjZvt1<7DDtUN(T?Y% zGMxm?cq%9|U!JAkPYam5FFl<|YXcOg)2t(}O=;X)BD1|eltoFR+c^KqRv;~T}!y0FW0HKX7HjfXzRMbf4B#?8qo@l2P%dadPKRb+&Af% z<`=*s;OG|>4x?}Cl}4Ew6=O~ii~tY~xd>cO)tY+ccB0<%qzbYl#`3k&9vkystH#G?z~_25X)v#=KG zEAce@9LSoOLW#!NycZP&4nbA^K-M+#-6*Gm}A_bV}5Q0DC{BP=NS|0iRBqlE-gOcQaARpY= zB1JG2q6S1z-7mj{-0-DYoY*1NYv=wix^Y`Jlfspe*3~W~=n(}Hj7*|!p*StXXi9?^iSfka!rF-z zLw>QtyffBAn#d32YpP0;pCrhjR5d{-b%f}}x(gaSD7fv!&PUdBK_cS>6{&ZRSaqH^ORqquADllLOX^?{ZK(d?jWD#pv zGK>TWq-JB)lEK$TXNls1J#BB)fGp$BuOS-97>wrwHy z4`QD^Cg)Em3D1Xz>ybKgW%GIp_f^r2D8H zAZ1E#Q&3Dc3-F~U`EF5Z$)4^W@f{~B6}%JL}?5<4CsUDFxJbx0c?f zb$zpL`Z(w%OuSkNqLi$}_(JM+bpmntnE?-z@Qv7Pj8y2fIMh{y(=vFV@sFJ zBSfHT0uAVUhl2;z5#7$=y6(73h714z z0R#e;!V2NT((=FBV4;=Tzrw6bZGeXu;)yP092IhTWd<(!%|*GM`6<&SCi%(98&ZLd zK_BCB$RnQo)Xk&@P&ya_$4Yt=ryT@9WbN~<=AtfW9sp->n|7rSJFT2pBNizk%8belY z@`h?-rQ}6|2Wkg1x1!Pa9tiLWd*@c2%7r_ zz7qfd0000000000008@PN6Y}3t>1CP5BOVQwVi!Xi(4$67@No2 z3%`m3BA_fvH2!YvtOC;gf5lC-T zcYb!&du`J#=&$Ok`rZzTFO{57GtfX0loOh~OZE#_^1VZQ zC+tE>7ZF9q2~xU}lwF&ZZ_y^5cr)wNEl+pKN(8Kr4Th#V0ou3NWMdyCJ$ujsbbH5% z_nmj8`tZsreA}()#kaJRS z!ms%)Fn(V$Ulg~+r!V7P9JDSGWWx`r8QCjI=rP>=C2s=M;?hE-?86<)Gr~Em;nd|~ z5#mYm92Xf8RcT`)rckkUk9p8t%^o2UjUNJ~4Ww1XHf@8p7ydjtn#88ya)~OcT+YU$ zNw{T#Stfb^y1XJN6WV-_Dk&S$HAzo&Z#p-`e^h5f_WAC_^5x%w% zjhK(l?T=&RN>qgILDAv8%*t(D!|$U`YdfVs2>-e#@jwS6Dbil{&O_(FYX%_tJ z!iVypd4qRD$@Ram-!(YiZ}Naa1twy3+LKakHZi+a?1hlo^!pf&EjEnR)OkSGgTPz> z8_mk5lDNwphM|qP?PeEU$Ye)e*za8(-qi7AP(8=4A@u|bTMrA%!}xC!y0rc$Zbh)l zkK{;S66&87HY=l82_kf}ka^_L4A5F1XBwM9$%_d1Ri)#iBY*RD1ra9xEe=_?4&Bki z3TkBf+x(_kZiCm5s1RcYiDv61Bgm0?69#PF;3_2^n*VVmQ7qE7Es^3}t}wRv!$MI@ z5?`;)4tq%J9}+y2$sf9MUYDbF`aY$QH`p)D#;(O&4Yt_ilLr6*0B2(dIX218Da=@x ztb-S-U%q=d?&bwn+bai_HyGmbJ}FwFj$qrh9|884VoZ;7n0FR15a03^r?X0=?1` zGYopmXa1_`G9AwP#a`w_13g1NN4t&yR zE0vvC>E%4N-keweKpI=E;=xTWiszVtKI?5t9@IvP%I)jB$T*7K;+=qUji3Q z72a=g%=g$tgtk-Dy7Sne&;KbZN8g=TuP^T}cWWh?3@0rNjG?q3vU7-G6_cGu?@oX7i66d?q|Qr`K;R9M6iTIHI>&6 zgK(63C{*O60_EAt;HWNLk)#cod~eyLb6LRFA2!qnCX@#H05R1reg!V2ELHEtgk*2=?NTW??=)2WTnz-3o2(5inDI!7}feu zAORtk+&P!uus;h&0A6z4k2qR2ApDjBb3olmf>3)EB|gCSY=j%B26;%i2ZAx1+PQ^rQ5)QV^@>q-{AZL8u(b%uF8nlkd05D+a zsQ?bEdK3(w5tqQ7M5fcbuiaWQjsklZW5S;O1ECUDR-2iO6(V(p6w}Rh^>xn4(*r}1 zEx#+FXR#b>P*n!1&z|-5|1sw*vSMd$wKwm>0&=sWWGs4%yex`C{ugk#6{Te z4px<9jqfmhW>QFS(rj*9!E_dIcjnKrwV{mkqBxk*8qTfAYy*Dh6}Pi%e4Y0N^i+La z&)rU&4UAmRX?&0H9|XQ-a)i+HQk>zTLzfAO1T*EVN)h+2)Re!8=XF9IC-N%jrZfLv zsV_*~908|9H`WI8o8%==enx;Qx`!wBCXe__Upo*Z-s$aIdh_V|@zPRvg7e|?1n&5E zIYk1@5iHGe6yZqFj$w~_sS_7tAf#JZ)kWYIu_b0}y=D-)1>dI!B4#{j)lzANea!XT zYhPcm>n<0tY5lr+zS#x2EZ4&1ri<`FP=L8M{|r50b3jsZ(<8^r^K@P`Sdnr!r%a6RPD0@KN362A~`6qfIsA!{f`13f)Dxd%84A<7y_@>pmR?S|b4@Koi{edEoV;buavuehCPbq?CpISE} z6S5=n_?Ca=VMVF%jgn@E=kf1AZXh0T-c;C=F<%`01#1_+ECew(;|1HB?V|h(DzgC#PFjDma+q6ym1+L>+&+9HJ<_*0I6faFfJ zxvVfX6X@J(1JGQ^<%fVYY|@@>BX`e6vXOo*jAmLq(KyGY^NKxJ0!deE}hP z0~u7FJ%apRP@aQbJ2xQ&2me%Jt(vA?W(z7P%bVhV5L6JKh0j6g%TXsc-$eE3aES7tWSoV zyE90k7LO)!@Wsnc1K!c8s~3ql;r-3OsPa-gG4b{Rd_FmamPF5hVp-IAZE}au*0XD7?52=P4J(hK^IRF6p4Tqf zlsE%Uh&7%@*Egv-_KENzRw>eVBt{4$o^nAZivG9Q0tk_jw5l8L()n}32I##A9?Cs~ItbP= z>G71}2Jz6B>l?7cUviiNX={x9$H2%?42GKL2Il-@mj^4rMzZ+9J8?Xk4bXqcgXDJl zb?d*;5j~ar@u*>XCoWY}vPKsJB0jQoGnqUL@)geKtcg_`9zf`4kV7j|9OF{6OhYTH zR3P_i9B8gsmC7e^P)p$q3bm15_5$2#oYMo(L7X=vUNZkfopP7O!Cor+m@Hj`Cs>Oh zwmq`5;f{>7of8(Zx1^(CMsIB!HXo?4@JIiGEeu~_$xxz$k4lviXiSt2VLvu!ECBl( znfjwd@g$Z&DMq$A5Jrp53kr7;NN)zuU;{O6cHS?3rBvF`!=9HHU>Q}!BNxZ@zvec_Ss$&&9GQD=MS}Fc5+let7 z2ln0B@7t4^)TcKH7?!;y$oSnMjPSHNdlr&%KyoRj8sBDKx&>*C^}J0j3C&6t1(hVl zC1r;tRN9$6Z5H2>CwCV*M|QU=J14At1g!#>g>E`O&?@5n6sK&@9s1B`=FtUAEr8$9<$7ELnz{aDWC`gfv;524?O37p;YO+u(@k`FX} z{zok_8=g{p{*$zwWRIt`jC^3-Wk<^#>*w$_sah9U7CLT71s9Y8a_7J2CYsN_XcFBO zGq0*OKd+WM+jDgzEY6JACiZ^ua7X0rmX<(G(`O}n3W!ATd3a52?`~(iP-y9OAW)w2 zWHoQSZMB*Uh^v-|Pv@?NdHh%j*{vc)eLgO9g#Gg_NJVURI-+8=)Dbc%jCE9@ejk0u z2>bB+jEIW&BV6uvLrI&FP2nLD4_Rt1Ej8j>)QE>QHPS;Q6JHS0BGehZw2jyEbAQdN z*!M_Bsl|+IZCfA{M4~YoBiJ~uDyoXFt#;(0CTr(7yhp6BC$CYEFy25j(JrKk|M*@RY+454eyNfrS6&9q8<&8G#qCQ;^0BE_@k8wYi*EqfG zq73(a+KF(a5D14GcAz>d&-xA;X1*A6I8s>I#B8Z_R+RBS7{A-&2QtFbe>FYH(BehR zg#HYes%lk!;Lhcx^Xuc{S;qeJ8x0)~7{PL+)`;q!P;%oX&0<<431SjCieuirI*_RZ zD^Q2$@|)T?y5-Z+4%oG!&3*0<-1RMPsyIa7hSbS0A-bThU#>n)TWt!K}1pa z7$y`?dBAvq%I>Uc0=>MXFKHF)(%|ho^B=klRE1euX`M947nvS{NOgp`3uvV3aA^(B zR)p4$#c z(R)=wC(Rg)KOnqs@hxk=3@KjkXwDMDrmZPU+6;&8P0(4@mJS0+R`;fn8E6Ay$-W>l~~6ELGV} z0>af#dQ$0E4E>)zx)U&Vt9=5p2{(>8(3N#)wJ}Od@&#R8Pamr~s|?E*)EE9^Z9IuI z8IGBV1lMeq|Ehr`&uyT#x5oa`1#yq1cFu5<7jdR3FESJ8Yb?2Z61l69C+WWsw?=U) z8`;HXI}{?fgK)QamObyS^$ch`rIxY>HfXw zzc$n%5noKBb5j|I8sR~9psE?-sIIVs+kX5&l4+wweVjHS82H450zOoK#g*1St~7yE z#;HFypq=ViJ}0zWFiV8{0t|0h32Flm?=O|qF5cf~oWI4G+I13$;c2vQzWo_s3kH2B zc$Pb7d725;6IcSxbq8^QwhwcMUO$WQ#)7;W43`ZT5;4`TVu z2<~1LYFcc%Xm3OjmKc)~tQJ^l9f9}Z^Zux#r2;l4?sw-iIS!OC{(1&y%Qm7ChnBqn zC(1N9=;CIscjG?m>{dq>P;Wz~JgXHUqqE*!IGTDy9op=Hog2Xse9e&-r8*-LIFwAE zd33AF4UhXlHJR}&4(a>NsSe)U2m(JMjEFR*OS9Wx6&QZ2N9}Hre#Lqp5T$&kdfg{q z#CpIp+Pan|bn3#_;c$DyRN?mk#@)tn5o7Y>i^)4tvnaM7g}amVMz!GMMEg~zuKR@a zk-a=i149tMu<{0-`CmPP{sv}U^J8;45f#04RP)M`>d4?D3)3@i4T~JN-owC+qA*K) zcexcyyNXm}xD#Mxhp#oO6=&p$1!5USoyd9LAkXEtb5M4lCt96kko^7kyKymk65)Gl}9Q>kx5 zQyOlm$z%c2$Kw2S7NH;(-J(s_t!qeek2~px zqodlv-z1;)FzFu|8?w)294b7?d^~}&Oa1W5l~6ZYwGI4TEi^qzT;JeV@VL*X2E3y~ z8u#kp;l1zenCSgcQpldIyEOs@cbfAY|j#x}N z8*vbXz&z`T)XLyKP01!vyKtJC>`_Zy*j;1e01Kfta8r4ZsPoQ%dCa8IU0GM$ z2^e%L%EdK;!3{*P0G3Ic+S7W8Xm5tpa`Blt*qqJ`-w;eJ3y;zJ3LQA3A>;NiMvXh_ zG=$OgJZIo2Kt)!O#3y*Ibuf*PNPC2%nD1#F<uo^$*gejc>lzMiJLyG7K-@S}hJ7dy_-CC&6vc&_hellNo(~OX z9(~Hk;accQf@SftWVik@l=sy-0N51(RV21Gsbn&g4d%rg0M7zD@zy(2nEv-bbX`ReWJV`?zB>V7bEqnBg@AMF6{D3qofafg&CL!_bBS7kIG_~)`k-V%x&8| zj*{umD0+fdVe>$zfDKf8z)f>t$WI;-q2@ks%&NXL9Rk2Y$?FsZ(GI+>STv3IPM#jCVG8n2VW z{nM;tp{U~~OKF#n(9H+qiR~D#T4~1P29YVl0=bxpdg9}qpyVvqc+=ngHq6AupQB6y ze($Y@q^0`L4X7mWm>`#25Bp?-JgYe*aaLKuVBgfMrDi5hY%c0!8KdjD;(hR#SW0PL z$8}?$wg-#Ll?D#qcelFcbwjKl4ugA=vTTi%%8sjG%O!FeDjV)8Ha{i?Cm5zZ=^Us( z0!z3IbcW8%g^x$QAHr!=LP2MOpU{UxA&&Zhb1Y6t4u>>V&g|}(n-2a|6G!s~HLJ(J z>XG$ua{s^mSZCs$B}OPfQi^kxr(q*QAK>;ZrGoG~sXKgjvsQ?X^O`4C6{1o$1HK`* zx5UkINP`|X2Cb#zlZG=4P(_;~jl^WO+Bs+e)eE0;-%M z&Wn~uU63$aOY$2lPO?wO4#aBsE zuILMoa%CN5EofG`KR-HOZB8Xw&~%$=*7s1xjk!V^j~U?u1o#222fTx0B?%U%+{3HA z2+MK@PHVL+Tf_sd`k2L~EUzLtAeay!#j{cVjf<}ow`@#wl=IU%GzMGyaKB)PKm0vQ z7c>0!K{A`A-?{AB&80m(W&DGy3k$#0ZnJMi_YUIjE!VGZXkU)-fl?e5YiUc`$jA=e zqu$_uR*I;RXhW=~0LvgnB*PiFzhkSWCFKK_Fog>AkV{{Sc;1Yz!n-`?DGCL*I7qP0 z-|pFXpa5Omf;5vdB!$mhxC#g`8y%D#EmDQFL0OSg1_*V)f}gTi`kQ5vO8}#iLw0K< z&EsAMFKCEoRNzH{LQxU25v*qrR2DMziiKW|7*iWM=K}Q?2Cwrf%~8zv@02&2up^jZ zTLs(v>pGt6ds;PZa3u@aaqvvHoEFehQh~^77}6V= zTzD+^2a);g{(GMD@F3X-(1_wSW1h$^p?u0xEPKK48RZn*a`Az%cWwu+F)8po!(KZp zD+o}#EF`XA5I+1{%L+S$z5aUTT`^fKJvTo8-l|V5{Q;LpSGkA590Z!LiVxZ+C2SOR zCk`@78p&4C#;c`v%kV7rJ27-61r^CK@ki5g$D5=smdhwlqqnzZvUz(I3>v0kj3E+{ zEK{id8!WUB{4-;IPn?esTXN7ej3cC9ObtEA0uPcGW@R%+$2S$=#Go^i$wH=>Y*dKRVFqH=r1?*Yd zOGB&#QJC!j8y5F~73d77r&m8Og8&XvkB}1}S%8v@wK8@S%K5spa>bh}CGP8Ikm%89A&|!U?DoHR zX~KaJfVeSp)bPwxIy_Q5AyqU(d!B}QY)sM9ah9!CadjF+ymEr&JZfzi$y6N01#NOB za`;cRK8|;8yh1<65axlxN!L9)li|a+T)eJx4nkfHBLowBkdttd4+th_mmw~Mpy!H} zaONDb#+cLO5@B1c^?0hsIVt4?=sv~}xu_?TnEkccZv|4?ByETp9(l=3L@D`7%7}ew z&ISj^`OyCLuN9l7YxV+d2AK68A9RlPJ{&&9v>Ct$@h$i@obD@*`ghSC{z!H0j%mO+ z2o>Z%*>Uz`||r5s-WIZGE?&tDuM491ov)QrC!M!ULc19!8Rh(A%r zdAH~TZtf~tei5#9uR^We@5}eV>!f4*E0?S6=(?ad7u!asJ0?0p`h@!-OqKkf+-+ms zw)z007w4I`BxO<(FwKyBV#g!WWC$};pt?-4ThQ6$NGg5Z3&e!;8q4lNMfq|umy}v% z;SKDv7WsK;%wb45C;qtg1j!P>)xae{t+*ma;8`f?j{DXRTeD#8NZ3scG7*uEJ8cKHG1dKNwQ6$pg)N&x}I;ZA}4ks0_(;iGR|!1hlnCr5QCSCqI>2CNXZ90uO`BmgC3Q> zXz0?yV0scJJ6kgn7)dUhcwA0T^uC{-x-j?DzmD8%8cBUF4-O5TkB5ho1|^%&mF58R z8UAc=IX&6tWvet5YkW*wO>`(fq2s5nE>+RFZuWaxnj~#d&31A26>a#oOtldRZ_N9Ld2JiqAs}* zxGT+pEpngMkCWl{A7W#9-F`j8?T)wy_gl5xnZ046eABXd+?*1s(5G9+F9Z%E?NBQD zPqywCpL0^8(^?Jhj*$u`f~|dS#GZNP2C%wRk@3@yUh&R0siynwMo%ZGCK1UlQ)n2x z2Lc$C4v)32n(6Be%gSD!{nVf@008tlGzjizjdQ_4KFi+(FSURjxj+_^r)x93kDg{> z5e!kd8+18@tx0xiIM|h&1N}D|=)s^Tm%-4-CLzcnAKN}bw)-?w=69_5LqQAR3ea;6 zUymQa0dZv+O`8pwPsRghlkU?S)RE+Sd*23j6WS2_W~qwb2|cV76fWVZ8<9wJs?Tyk=d`267eR7G~1B`C4 zAV=^1OG)n>$bka&)*L@)UVkp=UX!nkMpZE(8@}`Eg%+ZIGUf5y%Cz)ytQkhPotu$q z=xIxcVKT`^A{;3ZuTNE5f{I5fKPcN=>@?z-jM@ppDLGeyIetfL46;~HJw0kXT2Ku^ zgnwryFyOU6T2LqoDwv2wHibxRD!m*Tm;bTBn0r|TsXPF~0jvG*g^-q(q;%zB3#J%U z4IC$X3Ss7O6tq60{CS^#RXTfCDUCm`U{)B#0PJ}+8-F|`xL7H)E>XYF#5TP*744S6 zb}owPUFtoW2WMtLB9i#LK-tn4+(Zt`brT>g`i6|(`R~B^Lw2!w@^#TN5HxlwI6KDY zL0QRcz;FNObLI|dh*M>X_XxvE45LOSJ0YP@xHW`Wj z4A!QYVH|11He7Jm6rd84Oz-E@WIA zJGjhfW1g?Ax*~9_k-h5IXxYQM$VBlNjxR&)AEY^4&m$g?L9~u#TwNnrzu@m5gz6BN zwt6zgaP?}+7)<9~AV`)jWM#S`lL62Ex=2&k?Zst6PX1>oK=XO!Csw`P@1u8q+ZDb( z3a$`)`NdQnuveX-aw?4z@uvS_1=ba1%jBAgx_0q$*ZprC+IhDPeDojicZ{q{mYO|O zBv4-;`_>$wbgJEBcn2PGf}~NNe_3t!gid_-VyB>)8S6RkLEA9Xeqpr__!@GnY(2Dy z4zmi6yIJ$9=&GA=E#s*8fdIJ^BfB7fG*lI(`LoK=(vz&OLfC9v{m0687mWlIY<(eG z09*^2+i}!4omQ`xFD?_t=}0fKclA#a9>^axw#E3!h4W&~U%#>n%hl;70ui!lYEP?7 z$%sZ`52(p4dy47w-254pVYIGFB{=PEWY@{Q~NK#`d_evmg5*^Mhoz#n;0@g%*CWR6%%2}&Cav~$l zqwV`!sVAw19udp)e@E~nV4wPX66g?rTTjjuow+b6phe+A7Gv1svaUp4js)&UU{*iM z8dP4h14G7WowJ7N0Vb2$M_{}ETSjfU+ECO~!ISH#7I{Dq-Ttr?Oc7<~Wb#sGBDlUl z>oOMx0rb)il4{cx8(A(0X4AxKtgpQHy+m|1o-=fGezYs9DvtwvG<2)N6D4lSt{o(D z;k_PRae?;V;56d16W4h{A28tIOxart2k;;q&CTSWY7$Vxtn=SDoxJKg>+~%L6l}h$ zLEsir3jGlDOg31%M2!+Jgxf7yIJ3i>V+tMbdGLCf<^G6xALAu%_jRgP*m=j2M-NIk zb@1t)rIk@AcG%xl-p2C4ChW}Mpi%wB1{t2V#1Yk8oTmRHH-&jADbx zA&7~J=(x{nDq2<9LF~0ZGy-@7O_Ma~dNGdut`rs=`=-WMyMdWA4bPbU-W*{I5?|s| zpDL|Yv<+UCwHwcUp0bE9hi>L$0?mQVxvQjY!g0_xD_?&xG33i)>m)&PPmZ?*@@0nXvpcE74r0!d(==J6I1y6y~oLMo}I<&1Hp?shd9V-erDPJoJz10wF)pJ|Y>#SaX{MC;b zU2L}o!aV_V2K>9d_UD@%Ll#S7HmO)wr8SWF7Es=S4BipI9w-sb1Mt&o_5S6)S33ND zVrh%!-#T-VZ{S>OP{R#wL)X<86<&Tp+B}3}fa0U@PqFeAQ?e(Bm@AY5?8PBno8YCMmm2vbYp z>TmE{A{l_Cw1|*FuHKFNtxc$Ek^J_!)N&Ma8(%~Wkh=TvJ=t`=q=u43#*ysRZ;RV} zd;WRyq0rof8{06(&GUm)-vH(jr0ecfoW7-}NT;tA$aPI=0jn~~&TLCZkqWF~Nelw;vg%#I(b zEMmh`b;3FmjYg-RUKh_wPaKF3f6z@l{W@bboPn+19WvV3-t`mx>dk!m#){SYYm@E= zP0KQ~lMr88f5qim75>Q8<^W%eogBtnDFy{l}(Eb**j}1Ona*gE!sa9 z5|J2+8*f3mN4;#XpvS{CN-wH@nncSl-R6r}@FYGXxXt+U20^{VR59ls1_RL_zHvXj zk;uW|ES0|tV?f#J#DnD483uFqyyg20tjd#_ENp0uw;0aEgV_Sm4KX{9=z!B%nfI39?t#% z_Mf;O2k;QudSm{+%c0_|+aVS+7u*Ha43kY9{zA|KkHiNm$xIM346Y?$q5%Srv8ie$uMwV5)NmVuK7RoW@I(t6WVrF~Rt z2+XW~QG-)dZBsO73amd}!kmX?Rnkvbps1@P0l|iw55T1b4lA+{SeGdA? z0mr=Rm*(uOCs9dW=2tn)vR?O70*Gj&D$M7yaoGIz2>Pa!mjE$)2$I!%l{gt7W&f8l zG72W>CmF}O;#h{dAXs*jeo9%CtgHSOdDxGZVb5kK=qUqm&|_*LO6W+{3sU|B1veLV zskr-@9#-ER1JC<_t$7sXVZ}_;u--H98o*YRl0JHpAar;cRgw$9kl&}5#+Nn3p-J+UU;e}gp9O5i9zQ5HHvwl26KD$3J~Yfm z%dhFSZ>8V*Aq9Sh!Swy6FUbLYPy`eiY4r6G4f2 zZ?T{cYH6#BKXo$^+BXBr!Znlfw0;nNXP5RKDc?8sDDc4o>W<)1cQa~a@L9q%*^Bkr z+IS;@pU#fJE<}#G+>xTB;Z^=J%?m`>Y-DDzJrS_6W+7rmxD~ujASYRU?sfU%goeIf zC1|bFjM`Ne=bNMiJ&U^6Bb>&J0Aq{$61y!{1@b4Y%VXZ1e~t%QO^6slsLCuq6F5sn zDgC+j;yIzRH9;OYQobsZQy~5mUj}9i4jSn-ygT~_F5pW+Mq<1J!0iQ-IblG1Z!^;N zvL67+os^a7gv_p%1)9xdeDVe8H(YHTC1l^Kb3$!Z56wwn3gAQ;)U#SJC}0!ODC1}@ z(a22y``ExrZn{)<|BSguj3S-7lSXTP5Iq2mq}ri#U`jb7qEilz1<1!iPKvp2KNH9H zlhdN}8`+&z4FC}X{LkkfzR2k*0`H$8{W?3X5>~xX(IKt&<3E9{ED4{Cop&^u9bYx(wmx%a{^=rs7|htI zp0k;W6*ynXMPSfW8<#jv*(B^YizTcZ^12Mv*M$9j z3C?}EEYuXA1Ijt^!b0=Q98|iwiEg?+9`>g~Q!FP{0Fx-+X(Xj8$-{OjfulJJ#sW3R zmLsI&N2yXsk#&aVFGU?5*va$_BfleZwL%Z;H$154k@sr$5ktkk(=`|CDL+7*qcdBC z1_fk$db&7iKo#jqwc-&5G)pBCH#EHmB+*@LimyB4XNL(zvbaW-7EIRFJGszAEI5tYAWLOh@;GWqYg?j z6;37|8%&Aj`y)p#l`AZ218=EoqYmO3PJib;?BWD}!R+toqgh3)PHzs%s8yMM0EPEg zotSkS`Syru)qb{P{w!@3_T$3+KV~V1i22E}E?0_up~}97CoGZxKzTG$8^aY#DBJ>I zg&5a%Gm~0Y9>=<`H((c;DGPDZYs`@sjU&ek-;UiT{v?bE!^Ykw6dMJy73_|L(s9RI zYfgH!)Ag<&Y$HzSq<;tC=~Y#LB5|XgcWK!Dm60l0a?H-@hHLrW%Q-3m8#6XWYvy?3 z4QIfUOclDyP|xX-zs**6#BYZ>dzA0tVGZHCW9N5I4Igu#P-=cR9<+N^aD`R2bX>}2 zLp~QANm`9{PjWL6EX6uR(2=p>$Y4Ot1*D|S5%sSmF=w#RGA$|nrvlTcFSyxY3veUZwjb-omngxn=JZGZumAPKyfF&YG*uD#i1KUE~pkvs;5MKL-Fu zq3wNDP+d*1?#3N9nvJ_`+}$C#ySux)yA#~qJ-CM81Sb$2f@I?a2=3gRs(T;L`5*o| zx6Z?vs#Q~KeKj-PU8}lgdb++=d7v%)oHR2XY?h}d728P!Cr3FSJu!Aw7Mp>{u42Zr zLxB;r?XJ5stMvYvf(h1oy36}!$yp9&-|Hs+rVJ?|HG3TE?nF2O zCd7Np)~`H(`b#Cj=1}17?=p`mEhs{<6MrtQX7SrQY^2>BG*b7#q>l=qGt+)$r*D5F zR$`M_Cjl{L&K^gwi5XF|&Eq;Sabh^J-mDFUg$bK^Cy_ikk&r&a&-hf5+nIDw(0p;| z0JepJ>yPBGtWS^gAz{~bC`9ti$CT&EDw($&3e?X~)toov@^xUFQ;ct4T|Z1MtbbNR z?p9&x>+RAgq;l73Dluu`z&6YKov@889&tK{kKLX$&(}VO2Bcz?Y3(zkchjbky=na{ zx!;xj8^-HulTqIDw06iob^rGLd>8qJY}MWG(+35t28Qhutf*i|<0@(W=8G1Q%Pj@b z4Ioq*RshX%Z@~?=HwM4PPl zIgXOOG?=!ieH;R@lG`FL5RD!Qa3P+9ZvES5IcGGS9@j*o7(?^8xB5N|fX*`MLZHQq zxib6FHR3h#r%g-NivXp~Jt1qlkXBY!?=;TyW}&C(uFzdGfykkp_It~L{)@SE6W3TG zS=%O5QkF|6klA=Ud3};NOJ9^x`6LV2=hs9m^<*2F23UwQdgVt^x0i!X{B`CdCcCAg zwIvr63A+9U+D;7(yu|eCUS_`xUP_DmLTbvY>WoT%NIiSbVbJOBlXx<78JuR34Xw_0 z0BiEpaPDHY^GxQfTza%^Vccjbn>8vffL^PNkCAP_MoCu9^}y zOzjacaDj!|&*c!g)F&R9(V_xrcEoQ3-KUJp+1@PAtHmtQu+lM>CN^_JrOJ*$F5C1* zUMM+31xRZOc7&2IZ~J^jmHCTJZvN>y6pf5r*MUpaVi2uW|wSrhk)S;+NRO1Whgsn89>k<`WzFoR~BvT}6xW(816qr7{~CsSV`Fb?wA^bPqrMED?Ou0M2<^v2V7K|VhJLdI8Br7XECqa6;FCNo&HBQf zxqrJX*FtCVPtFtBH!Rm@-vo*HDcHf{@6F1+WQKf%r~zKaUn*9oZ?eObY05Y4vOUH& z0pK+Z)FESQZ6~|!i6iu;Vmyyo4=P-^)ICg?o@5xKM&JFr2z9n3t!QPa z61jSLgu50^R0Bn6RUE&7G`vs$iQymK-!E!8&#=hWJF0mBpVhRcf~bAFT-+VpBt#yicP% z5#>2j?me&@re&hE2A;;{Hn8vj9yC-QhGb=!WNCBB+Yux2Ebo7Kg{ zX(m2B$1@GH^!rWbL~$!hyhYQ7U9-<_d4xkj@XyO$Y6}RW#mE3QY3+81tQ-|_4Yo7r8WFnrFFFqOWnPC-e4B> z959~G#rW*}C3a2neGJDY6a;IBt zf01z&OzDY_^E7hh28E$lwR8G0q(&$3iwKnRSngsQYX{K$(Dfnf8U zj0$SPQ004Snvk|VpIP(7UL=TULPJDjFb`k-H9DFD4?K=%l0CV&;owqHYWZuk>dn>f zT<9ADQloD+x-cFGFld+r-M^aOkI%P^cnCJ6JlmvNlHIoV46<7D&0YP9VB?XDabxuqyo!dy~Ty_%A&8&|JJO4)g<)smsztVFqX`g!?Uk#4uL{vB{J4Mr9@zk zx^z(p56SNP==b%=V4Ug5mK{Tdw_XrV&Bj?OkQ%^}9Jrh$q#hh_7@qAfWmhtQeA_ zf)o|B(uYMm5g2~y^i^iq29y`5PrLID2D8Xw(zXT+h2nMvkU_AJYOuQH02$lz zY`Wo!+bQ%E1T={BsmBQDfuVS4BJrYL*f$ozQjdz7NgCYgsS%bZgH=p=me>2T0#77> zM2(2=06@V04#$g)F5AlzmdaxBP+I#6^zXY*DyzT`1B{4#ceCI}U#N9i3mSz={=9X` z%=_7D-1y`vvw|>-9ut~da!MjkXy?yixH{LfL6QuaMFolsu!3f+mWs8TIB5p!oLWro z@tT|=yKd{Qc)4+{cR=3jfZIw_+^Aj}2ig)ituM`z&2somV)H<_V1YGccfCxCx=SJX zlWPruwh*=ZO#sF{qVvFljC_64i=>@YM%S}wJ({5D+bxb7ws{;ZTWsse@Y2ORK+)7* zDa-nJ>nZhnrNcWK%Eaezg7N-=0@lkDh~)8=1YhR|)X$4S*07?Q#3x@q;^P7KG1@46 zgwcaC`8Y#ghwIh5-MrNH?Wmi z%v4BK+cByUQo=w~nFP#sKpi_Le)0-jLU!A`@NGgZ3BlNN0BEUp_O7q+OW0|rk2G!` z{@z|h0rg8=BEx#cIkEOoBi|=1wX{4*)vFZP*%yUYbSSU)tC=P=zT%$7X?P>jV-Od` zz@nE)<-*O%vW|KiD%Nxu0BO1`WiQUUkr^7fYk_Hlmv68}np@fYaHx`%eA=meMd-GC zfj;zb+wz7cWOtTvKT42Cf`!5kGB5Re`1-1?+v4k-2aOO?} zJ+bZHmeTT^(;4xjg32%!&?T?Q&5f$+Iv}QBa11J+@LA@HXjxv9OfNt7g^87#;@EjX zwRoRMm#?lyGHLjK4okOrIcI!&F=45I#X9Z9H2F)FvGv*Jc)lm~09%MqW6K!c`=oKJ z8D4{Z4{GC#f2w9Qvb9=XWlXvU8Kx(m4-kIjc{f?QzGM*50mdSScpYd{-Wt>Rs}Kfm zC;!PTVt(q7T8oVc^j=n^|Kl7w7SQYzuTHNK&grwJ%i2^0l4oXX@A9wnYzZoUd98p` zK0xD`YWFoM5}}>(rUbD`y+*RPrJ@pu$+Zz> zxpn>SQ~^cS7X7Q{@aL$)q53?c&u^A;bIdL=Bra?HA?#x%ZN-{DaSLQLSL=@XVg{$c zLw?0ZQ!y(2Y=Lqutja&V=p%@CLKaqS%|u;#7BfJVuN{p!-A01``-H^-p1(R!+q@J1 zgGA>)p8wkrapy=4i8mgxlX8x&h?9TV^q-DtxyR(ZbpAHF_68Af8Jdf)yrtfc%ww3- z5}5*`~i-k5co=JQP{Iba0-t| z$0KO@ZpSp$f=*Kc87;4&|7>JW?*PHpZG})Jg2ISg%aN6wrwNRj$IMiA1W4h`j1L#$ z!0v_8>c)kgArQ+QBKa3tWlDWHBBC{8UO@(itw zftAyr%RkmV^Qrya&aMNX$tWdi_cj(zQIMbIs<|ev+cC5GV)f@d$x&4`N6Ls&wM_YN z^at-+Q?i-YsbC7JhFr-f-I*V$PJ*R2?cE<)mF=bXQ*?jrZI{&xHD<|377}~czI{k9 z5o$V|q3<+ftRI;Z->y(v{oQnUQ~=`8m(*lrCW60s32lR>7kFkgG*QEH9#*H;3$ zC?^B%?>+PRFr3n%iGebBwX5$Tj+Hv>y=X>v_As1$BYCenwZeRpL+qD0sB18=Fv>Qt z!Wa~n@Zgae5l+#8J8lwxIR!CYmn>4AF)VAg?{+CD&ht> zyd-oeEem;654PU=H6dBot)+KN94{7Gf|QqLQ|nbl)yLl{6>)|}b zR*XIEEMp8p*ffmCqOyuv#6=bLQgm5ud35ByXVs>k^b4X9T52*Zo=J)bT1GP?Y2Pl6 z@~%3PA9o_=Q0Qlx(kG8b+zojQt6AfcKt54Hix2@HIK%k0I@P&Cd|0?YMWA&3#OVj* znO!P&9q4{Ul2tIW>K|Wq_>v-+6gIp&+LQCx5pz5(R1iqEi&>Tm#@`h?hcV2 zMwu*LBh@7iCaZtsk7#wzI?E;Ta)IL-@B7JYH3oMN5*N=j^Kv|6SeRmIKtqVSiZ!>3 zELAH`{2*PnJX_-hHRo{RouOj3Li^}pB`LAS<@ypB@B}# z!I0A%&LckQ1)?W*;Y6&U?9M;6?e5vjGbkrZhTq;2s2>H52*To~z3IpocgnY(Q8uFo+` zM*0X&rlO+-%|i9Uf3$4oDIb)`eS3aZ#3S?3^1S&#Ddiiw-S7Lq&QNMqKMd#s_SR6R_Ic35Mv zr$fDxva#Xt=fhtG6o5M#Dj2@VUri>#=`l2Qc7#zG#YkHX$B+`}^l?8aM_g~FWYwQp zcv%$zwuYt#t67X20;%`aB~!+H!j+OsL-UEK{%L&?@nPZ-hOto#wT6iZ znDmi$>fRbQ*3zU-c(^H_?Ou59{exb%EL#Nbp+4rlUI(agl6Ky@uQ8HMnOoeNb`(RPS_(chQ+>LvPlG4UB5WiCktnYACfmWIHLiV= zATZ*~n6bsj=BU4myaa&EgXK_h<79kb{hJ`_3z?V6(|mV~TAJJ#ecty03AhlJOKtAq zzOWu9>kyJT@{-`$0vi(p?H7kW3+BO}pV7$88SWMj%C`j>%UkYdih7N2!VaO?2jF*% zq}x}6x#+Y`%Qwn&C2xwMHv7e%j&>H})x%>w40P}wDn^{RVu-UR^?E#$y(|p+KGzjy z<(P>~Ej3e;Ud&K(T@}E>`jLzc#K?7pW$z`l`yzlP7vO_G?hS*bxbR|~V@Gq_*Kj+z zGw(PvxK&RnU@E_PQP`1ci%MD5>An9YzCO*KdBpE-dtv`tT{8u!zf_~?$yb8=QCD-X zDAP7m>O29?Ap-xC{yol})k~um-k)-P?2SBB|N%&j@pm(mw4o?fyHgfoN1Z4aZ})r zzt`9*P~-4O-oCbRh8zZD`J7a5s=t&W{s8g3t{(_O`_}S|0Dd$J>fpp-4aL5#zkyVp z3biW}ux$5&E`!R+xXo6>$YJV1_YuZ#n#iz&Ob}|ORLqeuO2F~xZHb|y*=7w5?myxG zWWRsXud$|(`DW(Z19bes=G>M-R3ZqIJZ;NgR6T@V`)`FEa-M)^IN6ON$R2v1iQ`Bx zayxo!@@xOuE_ZufUhOd{$_jM7qwsUL!3Kv?xwT0{T3%b~D=S1B$Ne1pd9&XImcT@R z!TLxg@y1s0XFP#>1;P>MgCCoO8>iaCk5Kvu+9}$|J5)C^O922cZq{=gsp?azXO2tn z#}@kXqOXFde-pp~IG}k|Dck~i^)GgH&$X$k^$s-G?-g8f;o34W@*jnu)3$Fc-Ldp8 z<+Ra1`AJIEKFIx`_>vnz5zoP;psQ4a$P+l3A;IE4#f`N%3X+P1y;TvY?cROq3gCA8 zHtB7w{NOQazd+12jnI2PdG0Xt^Ziv11a8V)nVYi82? z!{dRE3@V-E>{PDfZ?ZhgOE_x`ITbyr-N1t@r@=9YVtC@?w+M}ru9(RqQ!QC#F3?JP zc2_Fn)J$`brXBr=;um74E#=Zgr=7FrFEI|QG*}DA>`w_re+wS26}|H!?R_mpDaeUQ z+<$Rykp30|iGjhK%KGueSo=jq>rEeB{*Qp@Kx$0(+-v=d)5n{(WnzTNgzseOhnJ~e zC%E1prgDR^s)9aFM^{V;CY{FB6!alo``)IW{bVR;+Dv~@OI6X!J`?TE2tLUE+rr@I8Pl}=azrFZ> z))T7yVKzSG*mrFsFE`3jyXZFiU^De~2+w8)1#UZIlj^0a$jYlXRwgfX)Q}nyf(g%; zoCG>F#zi4)mrHJa6#DV55gWoeyaO+4LrK9PC_K}JsGgaAGE0q18s{&Ze)o6yXE_zKEIAj%ackV z9!2w4WVc^_qZ$3-V!4JE)hcJUTNxORZM3IJ@+BKm!ziQ^1dge1SK``tzdYfW&b=c) zGmm+!R3iUR*YBU?V?_NRpP4cq%-$%o*i1qhDxB^$Nxv(qPVzIiRMg7Vra+G9p*KCm4~77dgLsC zm`MNG8hdy#~NFeK7X?L784o8F>wuZXuGtCn2TT;{YQ5*P{V|^r_Kj z3St|kwo9_Lm+^$;XiAz}0&9U@;}qG`%+Kg{GFEQm`yZZoHooPM!H9-HHf| zebOIFwuBE5{>^;d+H$p>!7EqDDs3Cl{T(w~ZPdL|ZkxUF8uMwd6BCnD+R6oli9_U%E`6uh=> z2fWK4-UEJFnKX;UYCngf?u89cdRFJcL*rfFLL@J0+({wr7-UvMQK*~TvOgfi@ZqJ? z!q@r0a5Vxrqnh?cJK%6q^J{YsM9<&TT1*s21QwKq_nt%24{5U|7j>fHa=y_1Fi?pV zk6Qm`Z7;)s5vx)BYUlGJ`;DVfwO^PM3Xp0+X1?Y0IG)O`lGkYWTlc#h83#>D`w zdmlU9dA}3Q+W)X#>P0S3EhnOrwCuUkoZU@6H8r8s++3*|ut&26rkHchCO5s)&_dy+ zi>az<2cx>NOo9xsbs||8++i!Se&oMFDgI^1I^(8&?JZ6fwzTTV(Sg8XJWYTl^Kvm- z?A41AzqP%9gDT(wbhaBCJaDKJgsr=`J=^#DGmXJJ3DX~$NRX(=V02+21}p^j zLnd+BuFR3q*HnZ%O!_0*48K1Ve*Nhkgj0`8g_uvMsfA)-PtMM!$iVHWY~E)<7><>+ z5@8YCgArI@XWSHRCWn@F|7p?RLv7p^gRq&7GP+)5{lU{Vm5_{?S{NO|{Va_B=f`XT z_*+S48>gJ}W18Ecp&}(S1j2+Iys{`ZR}%2F{gK~PE&V?^6jTto(>dEyP|B!~pAq92HW{}$hau8m>?IZ>?XPo|>qG_=1R&Zhj=))GOQtnl42srynLU#AFrPWrw>D6fFtf3*_aa`% zBKWEWth;wQs3_QSIrtXZ8X79xOegLwZI?`pfnIum5pWV8qv&CZV0*B2@y z9W=M6rB7!_U`eRO{kOOtz50c&9}6d!G+!aF$41D)*J_(0Dba^Ec!V5@DnhKor^T1% zkczMjwSe#FQE@T5W9<-7u1W&SxXWez{1DEnn*y{Ec88g@6XTiUw#}A<6=hQbg=>XL z=5NJ1@F+BlpDhz3c@!HhObhR|Yl?*uPUjt&9fUhLZNH}FLJBrdIh=jXH@4v`&wASh zQVxEiR)YgcmQTBGy{pmc8$0M{5T*aU$Ox`@v2Q%K6sx&1G^C{$(uGjhv?e5PvjeSN zP+7G{;WXl?nJN>-hj2|bt;n!x$9GaNRhts+CeMJADeL7;&7_LXg1pFwsS-OIoNZL@UPhajC1mZ?~%XN49dB2dFL0?mI< zdkC(~#{*%jOw7jQUHpCNrx}msgn6j>e- z>%9DXg@+*?h3g4gScg3CpqhCLGY+0ETqqo?(aM@ z*Dx^zcQ|&rbQTo$57|Vs5y-Q4M7hAGAs6ir0&yh87f8AF+~Z=69uK+;$`Wk@0Yn~$ zZsOQ7F{B7NxCGA_Rj6*Pf2;ZdoXYXyMS;+6qzGlyIg@^yPxNeMV7mf=_6l^+a2v!ov zcAIt`Mu8*vEvx91UkW3Xn-aw@4_}HOn_)F60|#Waj8K(E__LCPM`PU0KN8Es4?m%M zi{zJ9Lf3viIWhu=YN?QxuJ?!Uiu-u2+mRm6Wm>h{8M)_jd*Vr)vdp1ddZs4t`0vq` zq4U`U1p$I=W>qg19R~F_ffX)!p(w<}BFXBL`Zv6TSNF$3g8%+cyeB(HRhw%fr@Fl?;D04GWRf%7iTou9acqsZ?`M2Zm z1p3CmRwIS9Wkz&TFNNblhPQgwosq0ubuXc6*1+@77sDy9dvRD?JNJ%8TsFfSp!}b zZ`91zDpe7%89T<02`9kkPLw%z(g?Uk$Bx$Cud6f&XpamA_wKpVoQGgY(Q!E*@}? z>@Xp3-IwF3HLI9jG2$o7qh?j)>(oj#xo>84bzI#jINTDv?T7Qf z_`kDH-__@#4mP992TT7je8w%&=g?o9k@5}x(>l;2-dRqt{}%r`2RHfWGUEPH#2!QN z$PI;c({{3kaP8j(`@!CS2j*Tc0yZS({q9nFS;NAKN%L)MxZ#ChxLkCAr%c(QN@C{JpQWz%bA<(f27xwv>miihVA^hg8yk)Tc zOsT*pVu_W0J@l(11a<{+T~d!x#-ft*uMFdzr*~Hf$cCzegs>A54WjU7Erpo3S(>2I z?&Ptp+T;th-tqXst2(wG2HGtkA0F*n_?zPtHqvW(btox2>!IN`zu91Tpx@NRBvC)? zKn1-PD(vCJfpU>5R>XAzrk&V&ButFsY)UJKH64oMd?Q$_d05=%+q=EgmA(`Sl7EQC gP0_Mqq5N|3ce4L*bI$J)vk}kN|_xi$(|TIJKkKo##?A`f?YV`6$y5b-~VOy4Cal z|JQon{Z!SibBoiS{MK5}v!3s-_j%u4YL$lZf2H)-Yxvi6snk_zm8S5|igkm#DirKn z2|=$_-Jsl}9SmwTD3`j*^HcMG(_a_l@z-OBJJgq5`?pNpYa?Yh>k zr=YK^zpDrO(zSL2xu>h<++#P2OIE<8r0~(e!ExbZfkO@96M@6S!lwdPflvU? z0NVxdER{VdfXAVnu;+yB3_c%fWw2>45c^QQv#@U3jAL&J{{S9x98<$<+F{4_rG3&K zaonJG+cd<$s5X{%N_*6CK+UXa#~cSsF`9PLQTam?Jw-%)Da{po zpU4cO!F2W62Sl`|QtNOPk=24zYh#?bEO?{T;Ao=ZO7X zeWliTHw0z7Kmj~;F+E*9c2NfSS6RWoAod_Zn}KuoWoVn|pk1XS1#dxnE0tbzZgy>9 zmr{VQ7+@81$5@V7Vg!Ky70wI*gG#CNx(ilxt?GgWl2Be?fjHlcC|F)}QL%3#P5m(M zs@S*Tah2nDMD>vvPOR-`-c4#TF>qu3r^XUzMb7S>=ypr}DB9V@kg8tWj}#-j^WkxoBg$l%Awji^N>kt-Hm0hrAg1gd zwZ71Lc3&zuWmo!kc8}U10~FbPso<1d>D$?zb%Q*+xdpQO=ZK=6-PMt%exw-L9SM)C z97l<&-Cq`sfU;goH8b8Sp*5iSV^oDbMvzvMg1R**;1~$Pn6R0+$_d(L(hf_zHED@; z8&BGXv=d27tlPGv9hY`{(h}=7nY5GA-k!9?y4{(yJEh%`w8XmYOxh`FcO@;cZo89q zpR{|DmRPr`q@9*_Z_*O$_E6H!Nc%|A66>}vX=kN4q$SpECTTBAdnjp%bvvB2SEN0Xw8Xm2CT*+4(V}Tblime&J62c> zyT$RsLV~)TC@dOoak8+Gpl+uMi*dL3ps2Nw@g8u#li`XA6s+Zt-bhAwk{F z6&6!&aiOq~pl+WR7W>@dQeh!M-7Xgv({Ax~VIe`?zAY?f+~WJfLV~(oDJ*8);-|tw zg1Y@uSe$SRD=Z|a8~UTSht_Gg=%#=@&jod>78d8+qE=W)P`Ba2;<8(e6c!THZEaz3 z#Vy7P3kfRL2#bCnAu6_67NxFLNq~VOhM3aQ1!s?nrmm^z!aQgaThqaPq-^^Xj*u0 z;P4EhYTA9oH0(9)e#hQeusq;6R%*!jLC5v6*m>A-LupdlM;+5b=`qKFSVleJI2enp zryPe$(+c~HM5vg)6Owqnmoi<)tKo~WUJYRS-F>a!Q6M!o#62;5^Yhjq{V zm8I5Ydxh$rSjJ;na5zQIRan(tC34BtL}Yb)U06&SbHr476?-eR{isvSSjVJAvWYc& zTUtbQwbJzt5xIy7`CTF>*Bds>2v}Sd#`?#CJ4B%3 zl6||l{^S8vTu1_oE4P5pw<1auSH+8KB+}f!B#kPr(MZv%&g!*PtGE^)La4abMdUHS zZ6K!NI%=Cj+w5g=y;Sg)`NivbZ(Xu)7uQj{juEi9dKv3W1$T%*#U=Z8am{)F6&I4g z;>s;hK7WoVQCz)VT-QgM`p?eC=Ble9$a zE0Xr_rQMsfMC>b)_8+8uBx#A*S0wEpqp?Mu==owP*kE0Xq4(jG`!BK8$Y z`xj|nNLnKH6-oP#(jH1$BK8$Y`&Vg?BrOs9ilqG)X^$o?5qpZH{a0y^CoK{CiKK1) z4U9TGne;Beexk4#Vw-E)2Ze{BkO2FM!r~>j zu);zD>?gXTSG4}*7TpwRKOq736NSZJ+@e-kNPzuBVeyY{F;ZAafc->a@mIGPD=Z|y zc|u|FFK)59u#f;}3WdeLy2aMQLIRvC6c>i;2QQf{JYmi~jizdy|w=ug63fxRyYcL$FBLAWPy{XYn& z0yq47jgmHr?+ z;JCi@55j|v8%lpKe8F*J>36~z$AQvsg@+smOTQ5wb{r~g6drLL*63WZSt55d^Bwjq z6+0?x)>}vQF{)K>9n^hxTx!(Y{|?tZb|S1h?sz8bB-Pl`z+UF3Qslnlc|X*#Obdp@ z9p-y9+1E_^e8KPqBghsEi91A~1%veYfbPL& zv9G9Rc_2C1fqX;c0;&Og!@i5S(|R*;hvlNmL;7}kykS3t_q5(j+#v#$hxG08_>)JF zuQziG_bTzQv7f1Cd2l&YwO@%WkJf*}kuY{-^AUU6uq5uV z-%yE2-!73kEB7GAY{QbcLj)=j>Dwjpx<{ZAi499`0iSP%3zUd9ETgu9F4K;!VpSru z*kOZ$EZ3-Jmhr3rPsoOW9GwB!`;15ld=j|d)<#sdDx$|D!F3)so==Y2hA`*BM%SD* zi0ob?zS~Q@WyIIt;=HgnrvR%xK;kW{J%E@2dP_(!s;8L(410jYTZTP=m;uHjz}6IC z&;umiGUx%s46r@|jHduK50H3E%>#%TU_%6$NCEmhK;kWZ9ze_h8zaEB6rkz>5^t$` z05Jm$M1bunzzPqLc*_b8AZCEU2r!ufbbElrTe>}fm;r_&!0jnO*#jirQuY911{jV2 zccuXGBrkC~xDYb{dIBo0*LEO4yP54|@b-h)UBdQ**xjLyW_2I2Pt6ML_J}1$vr-ol z(;0e%o&rj+0;d$P(5@`EP#5wj5MadH)&0rEYIcnymKY6DF2uPD33}-QO_v+L+(Irq z3b?>CC^p>(l8a$?kr+)^F2uPD3C8FGjh!xX3%T$p;9}TaJeXVzx{JhU>~bN_T}ZH= zF3>&bBDatWj{+|6sExUJIJv+Wz=BGQ?jaZA+=T=i=mH&zE^-UG@F?J-<}MyhF8bU> zVst3E5a%u=*hm-Xf^?Bv$c0A%7kCEATs)RsRNX~lbV0cg=Po1|pbKk;L3WN%Sb%Nu0@(Sh1Ih94|-lpFTT8)IE-?S!fkIob;_p)C0CvM=0RDjOPTU zH8u-G$mUv5uN`&5wWUe$s2!uRt}X3e`cSHD$EhwZb=2$~vTl7~1J62r*A4nH9Wae{ zl8ljF*OaPuiio<@>VM8YQ1EtfCr-sJ&WrnWM2GrOi%6V`TbviS1X?mhapx8)ZjT}r zcf~%AG{votGvP6AeVip?1y$>?g6djhpFqvRoxiZ;VGs)A(}=pa!+r%%md;V#i;|l_ z*;VWUk%h?TJ9Bn10;i^#IF*$+FRL#YfXmG&tHi0S#Ccgske5|%p|bKQ+GX`+q$$ek za(Ilg`ii(*Syk+7syWklD#`)-Mryd_hPTJQBcf+^EIT}F2=x$lnOL3vNW>Cm0MlO= z%JOG2ig6INgX>+t5(m2muq=YGZbrsJatsLT(h9fkX=(PHux<)^x`uo$j3Xa1?ANoE z|K4guEXh#P7)$=(Jcb7oz7TxEhG~E$m>X<#UJnCb_+4uwG}zF!5h3u`w6)|_PB;n~ zBQkvr`D+j}e_}?L{B5Q|=15m!0K@pMp8<)QcV&+er=WiPgGJoPc zf7@x0`I{uuA2U?9+lkEIr2O4U%>0S-{OzDY=1-jGZzl~hf4j)^#|+`fnaKR@l)pX1 z%%3>V-xLipf8soUdufpQdx%Vb%uwAPAu@kc^0$we`4i{)dz=QDKXIPFCuxxRdzwst z%n%N*iOkVt@0|P@G4m(R^H=JH zLFP}K=dYUvnZGKT{+OY<)ridBW%(N>X8y!^{zhn!`4i{)TT6q?-x!(xm?0e26Pdp& z^0%3o`4i{)YtkU|C(iS?l?Iu=aWefeLv@=VGJk&e?Dw{fg3O~h&*63&WFEzN4ku}l zdAyxWkIYiV?j*uvuY0W64hk?oHML z;0ZDdfPdH@5#dg2hOUY|O=f|>KkykMi^FkRfl(Na&k|J>9S*Mh?10oLivJF-s&>#3 zCy{tM#eLBW6lA-U#Azug&X@{?d|`fqNxK6m|Qa$?J+c?wLS8OGZ(rJ;$8%XgFNmRqZWe zd(ZJUk%brcP7-%Gg+)eRGwJifd?%t$_f8Ubh@hMIPNdHZSAzT)H@8sXdX!o&A`2CJ zH`2V!y_1uXqGj%#yhru&g?|ca6@G_33tk%t*S##v9{Z5UX5M)V^AXj4kf3emp(80PZoVzvePmW;ZHEztMGYzy=Q z85J8_pdTYNu8SZL#@C-izkUe#d;67`jj!T-f|;j5Hol7U38q|yK{mdwAai`BgSzz* znI7i-_cln({E74Nd^HU+f8u;RAEiO&ZylNb=%8*Ji14?bk6V9ln~0e|ah|{HXps36 z=lQ#y2ARJb$n-}Cb-R(s{QXw`ZX#y>#CiU1p+V+PoagUW8f5-%Bhw!p)a?!;^Y=UX zyNj6l6X*H6n+BObah|_>Xps54mrQ?jP`CSt%-`S3-~GhQpE%Fo12o9|iSztDNQ2DZ z!({rSgStIRWd8m^{vIP{{=|9yo}fYIPn_rPDH>${o*~m89n|evBJ=kL`FoC-`4i{) zd!7cFKXIPF7ip0BdznmsbWpcfh|J$h^7kq+^C!;p_c{$Sf8soUb2P~Oy+x)!I;h** zMCR{L^7jrg^C!;p_bv@Gf8soU@6jOh_dc2a=%8*N5}Cih$lpiA%%3>V-x(TY{=|9y zKA}P8?=v#}(LvqL6Pdq%l)sC_%%3>V-xoB<{E74YeMy7N-&bV%ql3DALuCH`Du3S* zGk@Yde?QP5^C!;p_ahB5e?ODyj}GegE0Ov87x|kfX8y!^{>m$1kognm`CCDQ%wHdw z{^+1?gGA=V-#Qv({x*>5j}Gd#iOBr<)wbW;brfVC#d!{| zr$OdXoagWc8e|@CB-5k2sMt*uz-RA#haC)Fxuu$G{?6)K6;Z*Els#R1S)sHB07F9>}qg1P?I;i^$FMvZ`Y@Z${mSDdb zs~_W2_8DMpYjLKAn0K#Nf6^F^ox`64v8fX_G0qiioipNTXt zvk0Az6fLs|eU|Fw7NKkG0MuIlUtZEIyYPUFfl+*V;NEKo-MDxU{)JF?&42&@cyKNk zt6VMTWjjhWpFXXI636y$ zkyoP&wDi&yCanvkrvx=;8?;L2&?XMue)!t;Usv%-skwG+ZG0tZeDzYH8aC;TdK=(6ye zz~L*x?*ikXrEWij;3|Df015pu1S73+<^+rR5UgoUy5QFkjJ9^VU_Jy_x29ZB?nBX_ ztk<^oxnM;I>aA%P^o3wuYsLkGA-JYB>w?uG7;Bwy!DtB9r+4$#gQ<(6PnK1A>q3?t;KcDrMDyxw-FV^^sm?GDF^ocG6W<@$>o^);CwR#5YMs3{?GeYdIvQ=-KF7LFE}Qna<2oHI z;`aUc3hayBg9S46KX`UkI#Ds_(uSxRUwBmHEKcQ!+jj zc-21P;lPn;;gP^KGs4-x(OKcqz^hLPj|HwhEj%7rKPNm9xbCv>WZ*Sdgr@@gv) z_&x<`G_2SMM5MnD);RS0Fi`J9RqS+NjoM!O2#9~Im@maZ%Qh8%qjrYI8u~tFY!&;2 z0)4M!dg-{_v`?i*TJ|B%rhVpEWqSdhb4;!2yyI%MwK2N@gxN|fP5$j~a5iS2yQI%b zQ<608Qi=h3MEIp+ADcFEdRd5!H-Pw*0+D@4Iq$Wv!B8lJqxLPeP^-#LX@Q7_ciIe_!cw#ES7O!ml0&j@eH@{G)26MkM|h8FW<g#~PkZ7wN9dIJ#3}LOcH;3}8jrt^ z7dEhXx;};985RHmX?$^LyewG8GPj;twxMN9cZ5N7HTYzUwL6GhjsTI8yQD38#SUUtH+O^cl-)zUQa1LVm#m%k+r3nCjf@Ld zT`2qAWH!8UFUrJQ#=R)Tc~MG0|FBR|<`yV~HzP_E@E^-+3YUFxeE#8 zVzax*E#$(ZfQ!xU;+f>)I(LzH%XRKToV$=fF0OMIxrJPK6mW4JT}<1vbb0ts! z1B^A#QO`jLg@OtBU?9F_!GY;{Ax00a*1I;_3lZIbpXX28ObBZ8rRjx(596P+L)7~; zr<-<(Q(F+{S(IQP8@O`|WznN(w}r#WMYM&)sV#_e7ZUW-MYM(7LM}Xt)E26Cgf6)E zZ}HYD%HeeiFsK&gFh_xxbLq4S0*3nYa(HV|A`_=Xit|KDpmK;r<`zn%N0AaaXKyDL z(O?s&1}n~8NWhm6V4*&dTgZh+0T*hpReOgn(3nc!suWHTaUxKZ!bu8H3TO=_U!E>3 zg;R@?m^dX-oF`ENl|m#jw@?y2ij+j$1x+rZPbE%$N}RipK&>JARBj;`9tB*ePgU(S zU9dHLs#5rfn74&96hvDnm3X$auoOO7l*Gg-iQ+to5~vg+iMfT6=uxC3&e>Q&? zTlkKGqAiq4wx})quqcU%Qxe5_5+zV6L=tlgCDEfuNu0AElZ#knBu38CCn4F4z|EQWr+YUx;~IFbdjjp;VejG}-7_szJ|LB9fRmB~hFwQ391h zBr&&85&N$@CA66S1mauJLB#A$Ia&Rs~Lx{k$tZXp*Q1zc!x-*2OI z!M9xQL09*T;bPM-z_^u$+8`Cw=VjnO*0TBmzaabvc#hz|=lNak!8P0&l5@%~ui^!}JQ&yxgI zG=}v4SZ<*_c@)UgFc5Ez>~^O(1>gb99y&x1;hiAh{eeR)|B6i!@h^S3scH`p2l1$? zwHsA{CWd!3_7$$r3rhwi78cUW9f$;B0WWVxl*o_L zJ8IK(fhtpJRqa{g01IHP7r=8A@L^lo3m~z-Q#oVeya1k$0K-Tja`Yn6ue<3JWJHbH zDuDg=3I%xD$K@Sc&b4+}5^PrVGVe+|q9928e?){;nz*C5(!W6zINjrt_D+p5apOnH6iAv$Dr|=^R zm_ob~#}p>^H(zI*^Aw(m0K*uVkit)h?G%1S%u{%t0;bSPrAgE)(|AF$b{aodAf)FX zmBvd%rE#yP@iGNWW7X4`*k9+JF>#*8uOq-PH{?zGme@|?_ryGnS15=ymKvVMA0=z2 z@n;1>dRi^SiMsxk0;MvJOXewHDmloZBoq5v$}`S+D$4^NU>E~6Qn`ZIPGui4Pvsy5 zOyz%J0x(2GX%0)?PU(mOGNm`O_^P&+0;cqP;GB&SnNH4nNM~Yy{d&eZPiG?n40D*m zCs>K?bT)~3I=50#q_c!(;w5^6hE79!Ib@0BO^_sVBn zpQrQI2%zs&H|;iJJDqnB^K{-tK|7tL?nvhj$=m7Nsenx9Up$?=C}27tS2}kSna+4& zJ~8G5*w2_aPv@QpFwDoVc|&o z4$}qdO4HYVdzHxLux1xn$jtvg>+^{8sXp;VbEUADZ;uKYnFJMRLqV$1dmP`9;KD- zjA93KxdZ2CrH8%aCsMzC-BVz4ao^Na}k?H186j z$$uBdt2(3;>K~|Pkn)b6}P50vPEYPuEb9U3_llCt#?zQru za>a^Kf!8g+Vw6# z@=m*8YhiJYf?m4;0{jCHzbE0M*KTyiwwR3D5e&ct%|HHsFR2Gyhoc(3rZ)fS(qF)+ z*sWBf^!n$qjnN;xra$~Xg*%gM)b5}$JIEv~>UI|qo}*9f2&@ewxn;YXh=^e!-swEx zout?90Ykx+Dn`3|snvsb%%qI`J_-=IV#8i1FgpMJL^QtWVN*oZQS`6}i0Wadmt+cM zzE^5wgx#}g4?0#$4PeC{ion%LX&)wHlco#Y*!4K}mwtm(R_rk$3xBC6J|&?Vc}RJF z5{y`jr=m|&&jM{}ty!^Y3Y79vr<6Y{H9}lb+738Yc})ZvdCqZVj2s6YS8L>G+VhTA z>A(>`p5Zvc>nRBPqN6Ua0B0OWmE5Mi?09utb2#LCz_QdwqqQ_Q?QaTbYnGuT6~uRL|&(dx}7BAlGP~M2ehX`d$k`# z;l4=-*7}{RF*^+bLaxImg@uhUAJb$VM3cZZcGeA=Q?S}^pHNvxqiLWRki*Z&S7B|y z=>tvwJh?s5T?kZ9Xxc?$6{Yd7FmBoxj;mvw{nBxr##s#bLX_qF@RIg~UiS^vC_0u4 ziuPL~&!$@VKsK}SJq1W<9f(t#ABbz(C7n2xw76Z;W&4o9M_g!1NPXM5IORw z8$`4N9|5Yi$+?fme<;z-M7G`7;U`WXf)cYtF%lwrd|xXCh(n9SerWNU>lpy;M*+5` z0I@?)oW4yZW&rd!1sG2OV!NC;ef>(z09Z{SzR}g=Ejx-eaVl1EUJtudfEaWVr>-Dw7wdl8!vG6P z>3&N1$s*04IIxQ-*C0C>1|J|YcbHC*y9bFWcWdk+Ae-nBCI4Y6vu2byH6wAJ{6|xO z$Zz75UoiuCGum&DF~EZ4KQ0NXhn)sp_Q{BHC1-RT&k?ge`i%2RugkJcJIBy4YR{6} zee{5qE5j`D90ge)JqTt2%zwJ%3pwal&&#@9pNUic#Cd_dm;yw7CQkJ!W&o5j z^0(h!W`G3+a)^=|>QjSV#a@XhqdpH4S)Xix19pVS`g{qwsMza5bP*^y2PR`ye$|d9 zF--~^eIB&z#lL=m}rkI39L zpdGOHiOe0JX!Y0!NjnKGo&YB;j|Q;$B64_WAP6^KV$6stj5q8|=>3S~j|KY?$!pF` zy$@lSU>P8vV9A_db^3q_mW-^%V)8=ZAPTz+6D%>CU>$veJ!)SHVfR;Vq+cp{%l!DF z$-)n^WzWQ6d4ko(tOw|agDrpcvxnRQZR^hwB?A1FP3;Z)D!Ke;y8L6oTjsZQbSe9` z%RhO58eRUgyUZ=%<0AGVWq^g9Ax&aTc-KnY&CyKSIW|+I2-Z8d$w7TpPIZoN!&>>eIrp zz^hIOHw2E%3LAmE;f;K33LKplZVtS9pYXcCwNt`oV11|X`amv-G2Cqp#P33)LUBfN z0|o6J+&B>m_0TnTBM{WY(22kkNr{?AvTh=_^S>=H@_$QUM*i;#jQsBijQrmnSmb{v1*qj_Nm;xn={uZBV2Ii!HSAe!O}p2z z8hg3jjw?&7HvIaJ<7zKL+vBL07@)o1aU}L~Q;ut5FZY1sXo=N^owMWBY3J;?w$zaJ zA;&tOF2ML<$92dNYwZys`tE5UJ^@K&tJW^?sO=+T#%VUVi+icyEe&@0*PPiS{R^jK z_Ba9{rW)6e~Iztd7A4d_?w;Xnvcs z*U6Z>(grrM&(1ThXV!f&RwY7Uh6cpz~DvZv$@*gJ|0 zWwsIOHTEtLu{K+4k@&7R>?GB!7u*!#IE0Msgf)KbN7$~o#Hr%M zEE`N52(Z$=VF2!b{{s+T(-Xp-Kjx^}53V09ZHE2^`?1hpX84=!=Opl|{MF5e5WmX8 zk{U~J%u4e>{G&O4bm^>w&+DyXUf{eNfiZ;vWqf$4@r13QF@I!;jRs4SJ~CSc?vk-p zB*yJCr1Ujs=G^Dcnhi3*24HI+(~doM_-ow`|ER|i8eo#FagEkvYl#Tl@hcl;8>9Lv zG#Ta`)!rbl#Ah4DJ+@hlHpbX0)+EA>_K{V)p4ba-6VT$_25H;$Hb{x#mpQ^ zPti|Afas4m5uqFEbf$W<-ICN^iMJB_(W;cV0h?50cx#vav0}Fqk#vm}c-KLQh0vWU zwL3#QH2>AoYQrxGQ>~Q5Gm+v^0~&c(x9yNVHFuoZl6#Ss7(wqL52D&xjOdxW+#VL> zIlEWf?f{8XNr~Idpknt$fFa}^BiA0HdS{2z=bLRRslBB360z*@vcQ&Dks)m?scCzd zh@Q57$?M9-rANRx_Uf%~!@lpJL{0yEgXK*me4wMBL_k|UR#qp*~HnT!{m z7u&reIqdj5U#OeIWE`D%7hPjVz)&=INc%dqyi|=Q}NUtB!mhDqFK#pOLHt?B;uW_w{ zUUok0SGfItyGQ}bqn8f^Vemy5=!CGxE)nr!eXWJPEYovYdSw4Uskpx)j-f=@G?Bh< zTs`I;3BQ^{MkCU|UAON7^_{Z1eIHnBATqp395{q!PS?$Lg@|@O&|ykLRs9s|l}kn+ z}X6q)Szb)gg8tU3Ix$FC{xWhe5L=SgbTik4eWOUwT+^r7v(xKdQH}YR`H>&Vy zfbF)m$Xkg8dw8zw_QiZ5aNe!WxL+(i@o7i=Xl6g zu^Y%}XM>Y!hBp$|z=4|afK5n^M*6=%y~efy(Zo8Qso_Z?jiJ^utZdtbh)e6pH|$n& zwj@ZLmIUJVT+nB?F@Tl?U;99MM>xPIwK+uHNyLi7^Sa-5kg@vr)jC!U=$Kt-@H;8j z@)sihF_rpb9aZd}h*mGyIwfhtb$Yo~P_BgJ=5hZwy z-4Dh;nhpF1N4L_Jx^z8dz#brS`MMUy`|Uv@j_W+(oLM~K56cX@-xvfJUT&}0qY`NU(R$EimJ@Rvt{PX?~#2sdU=1CdtzlvbMAo}mFB?sVwbSQ|`J zJ=#^rV=Vl2+X3=QF!$ux1|1~#LCY;`-CiKBMG;H_D>fr*^eYV4D8848NSXqJ4>@}~ z$M*jfGI~98gmv~|SNE0v4u}sE0`ZULKK!R{N2r9S0St#2T4&w1hwYm^o9d(YQ zpHX{@jPXyd%681v#WRMt#U(wz!2^rquI}fG9~J#hXjLT>c7ljD;bk&rC&92=-7e(! zXn|$z>du9HifX*N>idsw`+&R>9EE(^^;eZz6HIU2KBk~u%x7g^6!RyUk6@2F8n5NZA18NV0~ElT_77N>gW5w@@e3x{Xj&4u!%x@g@}J??C-H3 ziJ0U2Tlhh1cGRCK;7Ag;fPNv5p(l?q{C@kDjM3D;XI{5?>0u8w+I;ycnwPr9m^92} zM8r1Oq3SVgRYSep#MwtZhwf!2&YHqwQKX5p+XkIu>cF)YvgUcdLd8F3(*MvcMySSc z=Y=s~qhw^Q^cy4|6P2rr1>l$%Mb~Ko2>T7mUK3T>Hj%Rh;AZDy0oW9y=$2UkUQd0o z0DQx?lC#+*ahhGk?b)Sf;~oJvod2iyoQa4b)>tX(Kqf6jJ~lmF#5(lfzda1 z1xDYvH!%9fZX#Ab(KqfRqUz(sbq^5KoWHX4@mj_1Pf;ytn+#)9QlsNt5kBCUuBq&G zOxIK%bWGP&9&$|AR33Ir*Hj*HOxIK%bxhY(_Bp0&Dvvp)YbuXBrfVusIQlgeyr1BB z4bKuWR6HfbT$FCDJWT<5V_N<^<2-=D9Rct>(-~_u=VzV!eZg?l4v^V^8-Bi-IGt~b z*?`dq5yO}rL;%Fh?dl{1n1Nql6h)UEvlrcB4JuA^d(yiZ?94h_kKm3%LK%Q8TNI`(eyFz;IH52$OA~_ED%44PK2#iMsL_LV%Ad= zr=BWiMsYm`;cIrB0oDR91M%~z5k8hNCj(bwK!XKcw!L(bjRy}pU!w#=|B!PrJU#4O3{Q_Z7sJz|U_`8X9ks`( zWu>*oy!}4m=EdgaNpUG{UY>Gwx?GI2%h1R6lCZaLCOuPowHHp}9K}OcGdBIO+5#hCe3R*lR z6Q(WWsJ%{Z?_FkH-B=>B`$$Q{y zza1xH)QOIX+@qAy!%oNyZ9RI}!X5e=I|)6#-j4s^1qE6od$BQnpP03U51fm+;X~(Q zV|tq0-k5&m>Y{Ex78iAU#?`1>zCeZ?pG|t?2#NWGSVd{F?c>X2#C~k|8^ASo9>|32 z6MQJ23kr;(PrVvX4dWMbP}-w$Z|W1|CFuj$|9~l=c2dQoQvK*=v?&nVdtW^uLdJx)F&4s zqtvpuUjUYEof{YJVN6`KhYhawZwTPGPl)ZdxY@Ol(z;zoX6xXXk7Gnv7fo?1IW@%r zyTR3crCmr}#m0rv8t@HuBI4>}TbZz%h&UHYgUT&n1k27uw$ozyGm%?8g5pf%Hga|* za);}$D(!_oyoEq)SNGkrE~zQ9<$Jr)?N zx5opE)!P#kpoC%@_#_e8iEZFhKv1*8>kViKPp8P{XE}M}PfZuq!Z7xX)QEhiaN03_ zYV%pgmD+GM?SP{`;)bx#IbIcaNe()WC}!Nq5SF^CQ;4~2FAz%@y<#u+qBG9fnUJ#0 zIQRSBZOmQGwl)0sLhd6cfpBc zGM5^YkF$Ti4yT*Pocm*!_O>t@*%~_zM66A?hV464a{0UsuIlzK5eeh=0||RiL7@*% zr<_-#MI&_G-Y2ucvIg)2T7gx@jgP$tu0&+O(}AlS!jA&48Ww&Ws3OI0!UvY8pdGcd z#P%NG6CxC9Mc6cjaU|ojz(~fqz(~gVz(~f0z(~f$z(~gDfsu?ai0#IFDQP=3Uwlnd zYS=UXO}p%v-UIq70xOkG`AT|VFfl4 zhQ2wObVKyeQORM`xHQUDJt&H}Mz0)lWuq4D2B41=8! zVtotW4B)7+OCgX)?qV_g-Rry&Zo!*uH+dr-*0Yij!5%VCis2BeyZebK;f?e9_*OQm zv+g$910LKjfndUakjx7#^p2{0n2ap>1qdVvp}3fSlyYs&X~$1mG5!35zH6iHlOE^o zY~`?jJnZ|h%Jf6X%pUqDv-tdaOQuJBPkDSRJiZ=#hRmkfGJ2S>XDKLl|7ANM1DrZX z<9$y0Qn4%ORzj!kV3NnKVDaUJ=RICN+C<*)Lt%;+od}iDg_p$>`ak)q@waq=K$fRz#8a0(C}5+@I020%T^!x0AHxePvD!aOA2 zGXLwMUg3Lb=@|i%guV3Z9$*M_^p+lsU1+7b1$?|2Q6c~wuoPyK%Zj^9yk+UV>27Y{ zrO#bTfJ^^fTPp4{w~$MZ5-uz5@@R4yzigFwxgQmfK6fd>O1i|049sP2A(tK{i^W|Y zOD-`auwWCT>Xa*S?m`0G$m)WHT;vvV;ZeYa>aJqP!^PnIFN^957WnmOs@G$1_zQ}C z!rmofFu;g_zlyylh9MSLus%iPy_VJvW?+qd00A`3)>$yd%MZg|gAG;{MD{uuL;Df2 zis5_y?2@#=*_lw+=Fcou_u3~=BN}`Xpn>Qr_8HCjjI34TZK)nRPXW9QZ2*?-B9V=b z9UeXLb8)*TCQkiC%)-WKs0c1G0A?4DVA{Tn`1|HBFG?TBu(DmIzBqxx4Ns6mZbi>5G4b2WvBy5X+JMkr`Eg|)=2DXbH>n?mB$6vV8V zmC+P7FaYwBnnEMuU#=-^qCRU1o5k&>kT^93ao!Xpz=MsVDdZMv3LZtfDKzO~`KGXy z>ULAOA*`b*j1$@N*zZw!H_Ezb3KPVvDcl5R)uyI!3-xLWO*RF5Ss=peP7J=`EyQot zXdu9s1w1_R!LyD#sAU(L-xgz(6jW-DPj!1Avm>xNsdjaDpf(U#4+WN|pdGb)h=>}) zA+xoMh<^=mc*NRBnAS=a+Z}3+c71jqv4+Lw3kbd6?k8?U5&GSsSlW!)1CS#+FAO-@ zn_@YOVECi}5iNai{@9{X1L|peglhJSSWhfm7~vie^(tB|3Cs2v1^m@O4r^GEJ)sCt zbu3#%_*52Qr~qYLor;B!g7%);lO^n7fOWMH^` zKI}2sY2lMN^)WGdir373~rzJ#gA(tK{Txtn{ z;|aP%^YQgQz9UD*6&BrX#ml3_jX-R3QMt#2Sl;7X%$%~`Ca0g2LZuxSBLh(fiBlbj znP9Y7)xik{P#wfofnr^cI>5&js7B-O@6`Blgh4e1oz!MdiQ83_I8~82FE0sjDq0Ma zxrNHhqexYR?>Eo|(l*E;01K8#U|**MPS{6O7i|b{tB|wTw$DUt`Z846&I;2whaV6L zwe|wN_9+lvS#lWm&QZx~nBTng(>Az)MRj}FyBHY5-sgca?0pefo!{Vp=pR1ty;QId zd^65$#JJb5LKs#Ah#?(gj6i^>i(`zn5#vbf5=t4z7-JOhI+b3KM>#ekikQAP5z*~> z=65eCR#;yb>J{_%cT!&;>fZT1ozypkdTjo_rRp)e5o#nJk98Z5zCi;ucO)BsV|J5k zixZM<&c2dEYrBP!Blvnwo?~{atFr@-+i0Nq5Fc(~6S{)}%pn`nAHUJCFoho)B4>~3d2+(6sEF9Ixhy90K6DDT0zpsyj6 zZHhbw=B*g)MD~(qgMhUE3uu_?}XDD9@dB?TJMw^x%(*+;(VJUGS?D>ek(;>{k zEWS=ljpseS^&Vf3y+~Hw#Uaeg6bwefQILmZkdCzR6;QPBL&H(=X9qlF)!$UVuK*S7yaYu(P65z8o#oU-%AkH^E$eJ`a&e;jN zz-KrRgIpv|F2uPD32@7;aFJWcg-6kLagr{sZo5dFT!?cQ67=CF04&gT%a&Wng-6kL zaf&W*OFHEuadIKfT}Uv9r^3laZXp*QMRI{f1YKy=)A3N{L#p{a_5VQ4;n*Wtyv9Vt z__lb%@&)Ad@2AogyA-j+NA4~YF?p<<-?4OjpSG{5{x>!(-%zhk9vhbLD8L&M5FX# zui7Yi6?9w?R&AZDhqz(sdeO#+Y{Oh`B6NeyOGj)x*syF8BLh(fiBlbjnc%cxxsCyr z->@{PM&s}A)cDJ`mFjH6a)Y>CMTt`tiSzQ3Am6a$7Ah}~B2^KNV(0>S9rV#-A`;lw zDS;EVjp}T}atk@zuxyXmV#9K)5c@?HC%&5>>e#T{283%?9M5T}lD5M)QL*9JD>dwA5Evhebj0s?197qwftABvdl(3LaVYjE z)ezKp0lU{8b2Yxs+5lJV398Z320OTh`BQF=C14yjXJw5qC^Ikz+4-@hV|3G=RopQ6 z6I|gwg=3AMn}X-(g$z8sG;qaUq#8X09}SH?edZdUgY?My;-japq`3b9arfG*K;#*x zS)G#oI*rkrYpq$1arl@81)NM;(-buAEst(6KAHNqW3BW%Y2R_|Fa1{duA`2(;rl%x zeR~P_+WXE$g?vbJ&0Hh#+$zf$rfI5CrnUJ?OY@DV6I5$tm|a?Gcsk+Emf84z#=z`4 zt#RhF*UtZ&<`)a|D@JS}vLRVy8N;?!rg8%W4nVhg6J-(QuYxa}# zK&ds$_;D3n@na|*W|*4&O6C;bn&e%3T-9>}9>2l>j}z9x0RI{UiRAY%>LT?QB)+K|d*PQh=AqSIlo%+Uju4 zn`-o!rH}8J%xi62dN^dUV$C-}#%pK`wx}r1ZIYvk$6$sEyoHQ}Ew;N=a@gs^0{d-} zjPx$HyIpeFF&8);zJrWx3@$lh@^s!MeJYq~yPK?h#m+L{;v!%7P+vT8n6_PFq@&|j z^jh1!$o{^}-Z!sV14aDzFR;hgCc=K1_x1J`(fJB>!Hyi=>mlkK?R9y9{F8sc34}O=QBZk?(3~qt*2hmrqJ9)XODh*ds?$HZv*ss;~mUeQRqs1k<** zh@sPXGiGDZBeD3VZknAMF2Uz)((JU^B|JNg*{P{m+vR;dnJc|CJKaD5wu1v{cDj)Q z4bvTGr<)WZ2B9UFOHi$)YwZ^4F)*rv_uF8r162J0ypldLm{UGU{t+nc3+c=~Fr}+Z6VlXQ$nZ?C)#acQ`1;Y_rIIDzoo2 zJMCRyf3rOp_MQ4ATFb*lbe&oYW*_Q{yKWP<&!dli*KLnE`$r`a-xCpEf2V52?DS-^ zSGA7WQ($k6{&6MjPiVnicAA}@^&sIAN6TU~y^b}44<;?J-*3-HgnpMao#A)ei*6S$ z!ee$K26SzKc$AYgLlFE9Dw5_o%; z=4jT-On&c0bA2pa3h!-ZbWXNdcCy%dCjMqFQ}<@!6}7Ip0VRhr9rb z74diE4r9a*lEaQGV%YsiMmiRcB|lR>gmn^^^jJCnLS_aQtdq)SlB03Nig=!k>mvOf zTllqB9-|&RAT9BxZ3P+WM9W;X5%7HVQ4eb$OR<3wBOS}Eh=&*1ug>f{jX9$W>~FTU zVZY3nGgd^`skL-lgZe?Nh?PCO*Sa8je9XwXSTR}fz!4l z;)%z3i^d$xPSkHu&7+C2IN2fj$C@9od#Hz+uiWFUkX=MRqx7f26Smv+@p+A2+XIH> zigeO6MLk;VieC_A-S!5K>1SxrB_C3F^gxU`T~FAT#|VX%Ce1`xyo?+}sGQR{#5q4;pap#r|lR8a9&$x zC_WB73kGa zt$iYWv;z#CpOQN)|ISGcyIB66CwEx>U6dSlvHbg-++k?HBsuJ2`S&Fm#kt(_?W)gGi+{*8#)z&j7cYZut> zw{;QW;^p54w=0%^4RW^p+mzyA%R*6ICq4a=@waIC*MuHfX}*B};J1=#jeqq+hH>(S zz}i#53A<5ou^@rC`ZVETi{s{P)N2H}bLoLG_CgAdq{R28Zk2he6?{t}g4bH-muT2l%;R1xMjPijsdcP>IK*6t^Dm2@dyPs4g1xetS}k#4$4n{xliQvA@$34V;{L za6C1GGfp;P?s>(G`y2(#E0&7L>p>!4Em27i*z>OLEAa^(K88ocs3a|ZT#JY&a8Xa# zqPTekAGMdssiG$AkgM@qBA%MVWHh4z|J6ABrj`s)Ha=Y+A>ye9G0C!$I_}r@-cmP~Vc$b|0^vOxtv$#+kHG41A zEIbtM`$T2uG^@I1A5g%t2RkUt>0OGQJ zMdp=Wp3%YIH?l8^=UXDX&3}Xz-`gQ#p)=&)N3Yox3K;l*fF3s@r3d;l2Mm?~R&gY3OF(YCvTOShvounQrot1SL-9Gu|AioVbfpmw`{ zV>J&QQwM%bi=6eu)nX(shLsW5$I`KEqaL0Qau8qH);h<}BH@KkGFJjrS8ObBfV*w{ z{vr_*8^Ch3LDF-RCrxeqi!`=k->aEOo=aVh=#VavPW* z`~Q3%W50>NiakiR9;$9$azug94^xfjOoOf4*&H#HQ-CjD5BU!y;8zqWK#TA9A7;RV zaSE^zugzDN-iyY^*{H_xz;NpW@4(McfT?MfZ$I$#n}YbgAGDGKjze+1`8mh_QUm4L zw1bYd(m1eg&lB1HTWIbY%|lT0ucg%O#Sjd(8g4NYf+7D35}uG#z$V_Bq(##Xxd3C@ zP8Yo50*tX!E;#H0?CJJ-q_0xIbevWyjs(`u311H!yeymz9J(TRb42-99-4O41@Mp7 z$^^aT0{B-Rns&?u@IUVU-=={6r{&>zU~NYDPT=6I@I>Iy3B~>{k^Y(Xrk!-GX(`aO z_Z$aHOncK#IS%P_ftVhM^gF4TKM1Vt6n+>uI3+wCIJ8eueMF?+Y2n9?wYa=-#&J-) z=%$@@)Gvmk-ajGIZ%HwK8mOV9Zl47XHl#flI5aLt=ZW+?DZJoVi>u`q9S2KO(thqZ zq+ipl+ZROo^|peKr-q>BZKZBshF~DImCGK(D!&VWIpJ#;;8gJ(Di4Bh3&CX(f3w|jCdhpgXD+J?if$yX-+i*MSg6=|~pH^&IwGd3XMXeC%ham8K zyoF%eEk+8#j0@Hlf>{@g6@n8kXcU6eF4$ZM&bgpj2rj!|YazJeg7HF7;%PwBCJMo@ z3$_)4h6}bAf^ip276M%{zzV$(>~xDe3&E5Nb`*krF4*Y;3?0)bSagqjT!5}S60FfNr+HXKz zwtZA*zs>j<8B5IC{O3z=)->%2sWD6VnhxLFbOEw?+B5N#3))TinL-dv_}M}bP58M& zQ1Uu_z7Pz%;Kf4FaKX!kVB7_-6oN??yjlo$y5RLfFy(@|La@&TZxw=R7rb2vW?b-2 zA((Z+yM^F{3*IXPr(N)VAvouP4-3I%7kpF*uDIY#At-sJeo_dAUGP~UXt>~fAsBbT z#X>OYf-efeP8WPx2&P={RUz2tf^Q1Jv;*$9zJK8mOqZX_Zq#Km-0Y#nj=gl$mZASk!u1g+jXw>OV(IUHp!_(@gq2)F14ym5$+jLfNj!pCywLL!!SE>oN!5Y z;<(Kv*@@$J#hT7E@LDh#vt9AP`8Epj6URF!SpLNEE=7pdW2d93(zSNC^ywsTzwIQW zjE5FItl1?w?9`(6+r4BYY_Z*alEZEQHHZ_;J>(82j#HAuE>0XDAfq^!J8^ta`jpOT zd#JGQeB$`XBKt?%_8m_gA6sPqcxK<}#PP`m_BY#8VZThLd8UZ2^NHiL)MqD-2R!=X zf%9|D#fjtd5#MqrjxQv8wQhX;80@VvojATs3shk7!1)yqQk*y*7PEnOK5;y7VNIXiKDE5*YWgKg*AWF~Bx6UXDwBP&fbM2rdV(3&}e3?s(7fpPBj zp4-MWJYnxsUED_BZy$(Du_?vNtz=Ehx5r5?;!b}!S&@yFYj>XOq(Iw(o>^zaXU3Z3q7B??Otc&C{ zVoliRu8w0Wtdq$cJ$+44u`gu+$CwWB6zeiEI~EfU;M@mwf!yM~RvG}7ITrhtYSgmQ zi({1U6(5SH^%BER*cA%k4tc^~xBcV>k^Zv%Oh$6yL#6kN>{*&XTzCz2sr6^Zhu;&R z02vzeH4#31``;)9Sn2(5v}js41w6R%ERWg>3Q`f_jw_J`%o|O8*5~H>5fkKhP+GY5 zS#mgOeGVNVqINoUcuWtYq3%3O;;juuj^raY%r;}hl(4dG2(9NG2Q}hIO3gMA*-@`S zHt}|9XyZX#lem1!t`BwRl;QK0iVZ2d7AdRRxFc4cG4b74gzq$z;e}P`5i*Yq$Q>rW z`y_{5OniIDNZ8_uZ%T65srBx+2gn^Jz6T|TT}*rrk^hZ}?-A)!I`Lhw!oKsw_t+x) z$J_QDC%z{a**}%pcbfQ~Szv#&O^1D_et^;ZKoMQ1)`CX^)Mpdl^B#RM@x9<&OnfsD z-*OY*%gJ7&#+V%fduvP+-(gyy0*i_7hzBVqzSqTQddp0Fa|`VE+tG+{@x*t`?TU%- zZE`m89na%IQJoNTL_x3S-=art??R8P#Kd=!*1&$qFb13oj7M!B5RoHqwY~PChb4$^&iw@-5wKHWe;8sG5S zIYcDBPv>jczg%3X|2*kA^p4sW3$>S$*3VH!?eaqXS4rPc=&y5a)4n0<6sF{}#CJ(> z8YS7Z9}=Du{+RHx@aKeAguf=77S1P}5tcWFt6AZSgeQc32`7d4h?J*mr*L(`DdA|s zeZqB)9FutHG3MAGC$<}saYM$N5{?70(;;GvMg1#qGX;hkg?&9SRaMirCM}Ke%hLdpBNT1&i@?Hi=_u8-r@9OlfNIoW}G$|H#t$v~CkryEjHTYBz=jjJ=x!rf?+R4X zanFUwtj$Qfo0zH}-+)irbJFfvsJ%aFPe?npQ2RjAo|bm+LhXY|J1gx&3$+g??PX~n z$+dW-N`yi?>rva6YwPw{3hVuN)Sg(Vf3nc4TaVh)xqj51$+2S7M18TT;S;5z;= zj65qfii{0pJn=FzPcv86`6gEZd7j`~%Ok!M!#E#y{9Y&~y&T7!Q&gz+OA-%8sux zH|>awz16|d>y86)8ao?N)wmTuYIA|eXb&@*7#Z#6w_C*R&jif6U=Rs~1%}J=0t;mA z&k+T#2Q-*d{N_ox7+_A1+FQwE(>*3eNy(!)_b5R>J)&&sF}ILMj{+W>^w?|1-~#`M z5$HG_a{qc(WqE?AA>w3Jf|C@m*Pa66u`iMJFo`Id_P*m_JTv{kaaCzb+7BK3^vo1j zgdA&f-?WdCc1Fe@I}Vg)g=ZZ5^$D?FI}3zdiN*)noMPxWCsXvJ&q{0#7l=%8Yubm< z&ne(>TI;7CSzL+$1Cxld*S-YeAIprXU(r}&>h1q|$&zf$zVX0#d@=pEzbW?b7=UR- zb>K@E-xE=yxX6Sybfn<)sR`-ZHTt?6;5e%I8c1$|h~JDT5F>jF-Zr`7X#lgc{uB;% z0)TlkQ0GT@CPPHxeAFr1ug>uvCuT}8qQUw!&Rgjs{zk2|8KJd4J-+m0vTof}v-KbV zQnDg2Mv-cuMiG2Fdg&)E@NE*RIeIk^#h9)2xKKy4 zvq%}*$QTXO%wO)7prH`hjTNqy#x)`UMM8vM*#${8Y2G%IBd|<_Wq!ic} zv`1|`?3-)7hbP{$)_b_P-5zE=00%!}`omHmYh%l&UHcsx4x~*4QGkwTO&KM8!6e&{F$SZ52UO)gD__RjpkSAr!TRNajl3 z<2oj()bsrQe&5ggdHU(`b)4sQ-upGzz08t!2(c#3&H{Evd#(=lt&qP>kLl5EzSy!gR53>>z%WBwu7fuE}~)wSH_h)m~qubFyT>U2Uo4&BAm0R+`+3I(<>KI z$9W7Zz;}Ia1^zun#@t&7H4f7D5>Q9WvFC zDjVhVKzR(49dl$TPhxlq=NxI}Jmh~k6u4}dTUq|!j%6dqf`2Ce&p`>ViN&(H$|0+a zD-RjtsvFBh)k9Xbf*b3c#j``Uq;e4zhpaNLJY=;r9e97g5jID=OpW^_;zean(gI!Cq0%*(<76 za1l&su?YDcPV|bkauKpu;Cc(^s`UtAs+_AfRjflbjOIAU6q;qj~t<+&;lv+{H7mLd8R&t&+st1QMH7q1-fXIGu^KTmJ>BgS+U7mkNz zD=)Ja$a-9&Ih+5FD~FS^oM-HD5C7vb%GGhYVq(k*<{D7W*L7IWEdjuJ(UC3g;gA zMK;5E1_Bf-O<6iA}EMwgE;A)RQMpqf*Y7eXUsk2>nn93iK zEs+!8`uo5BV9#oYLpEb=E3Y0aqsCMtNfP_+W9u&!d3@}MKc-c=eq z7s396A5@Sbw!lkX33)nPWGHX7@FpL&UoS)a`VV^ne%rzzV-LjjFfZ&~4;kY-k=|v` ze-53^KAilYonKRi`0*9zvGH^S$QX|Y_{;6?jyld}Px;0u4ppEG(f_b^SeIIkhBC&Q z^768oqmi>(Msl;7F~my>eF!g`78S)6UkHE6S?sA8QLJ?Y$xwdSUv_SsQG;cS&G2w` zk}w(K%^xlqZz{KS#(ZRk>+kjmF@k&bWshMjk1%hhv0**s1oCYEUw+&K_Zz)rbCn)b8CUig##MU^6Y`5Bl|80v z1$&Hh7SDQ2--<<4^q826E#M80r=!0NS3G|8POWW*jd$OsI}{8DfZ$Jy$U~#>r4cwY=%W zbxfj+(W-R8%v8t3%4!$3POWUk!z#3XRM~1^YjS1lM`*3(NRc77NiG)0$OP@m0U z+p`(q270-pGOpY}#?Llzg|k5ZqEh7sR;|D?)>q7;as%f$cFILyM6Ql4!Upb=q1-@u z@C}YVGDM_I;0ErM;XfO=)^SkA|7_s=f8xpwWcxoy414IXoS?egM9dz~e2y@#Jc9H8 zi7Pjd?awxFrL({bv#8v_sukG44HdJf+(5ijDi`sr!=993l@5Da#?LzJSsDJ*Vci`U zWh^`FdsyKR$8R#k&T<}M)p424ibg+<$M2f6S!FX`EZ1d>gUeUxhmKn^#J)y<#W*m- z8GGRaKKLpKrpHg%Rn)u67uQ6`JsHXi2iDhj#wzNaxjVdM=z|3<#>A?lh79Fhn0%FZI{Y{-T32FP)e%tHD#t2=qfTXOBedd!H!^g^ z_c-NdmQ6uJ?=B-1lYEJdR)~CEOK4NET8qbmKAHDmq+nKN01Dw9CgO>C_2|T#1SG3 zs&uM|idFQIoob?^T}4>g3mEIG^nwm7;Qq%1_z=I0D}KcSgUahNta5_yF5_n>_?|MX za)R&ejPa>4Z+U=x9Wh8?Lz6_H;A!ZdS!z=`uv5>_e-sBN-t~v;Xp!66DnU4n;t1G;P6GpmsV%c@3Aak(ww?SIz6lbc4Dh`zEq|G<`MEniypILH&_^ z7ui_N5RFAM6qz_^7&IIj0gZ%4K_5Wz&}e83G!_~MjfWDT2~Z-G1Wkk{L6e~=&{XI{ z=p$$vG##1&;he0@gi;_YB!3jj2Bku2&}=9jnge|d&4n_cdC+`l0kjZW1lb|^vs0N+ z7L*MwftEs_K%YX(pykkK&!9_}252MnIkXA-0{RmA3fc^P4Q+w8 zLfbSsn(dk$a66$~XczPiv>W;s+5>$D?S=M1`=JBSLFf>47|PQe(HzCU$DrfT3C;JK zllb=s=oIuLj@20)tBaaTnqLtA3jK!MpU4$xu4`@}E`)9(cN@6}nunT4h>M`d&=cfK zkjGn*no_(5O0|$qgO*YkQq`aWpRkuTUTE`%e4y%Vtw9=DPZOK>2 zcI2yMd-6511KE-6M0O^-kdb5**_C{q>_&Dc-ynOCZ<0O9x5!@P+hlLD580QDCS%Bc zWPkDG&awIv5{D6!nN0Vd7vE(>%JefdF zAQQw3r;;C%ACc3@>EsMDnVgCKltO1EXOT8!Q=v3Qv&nRF4*O&V`=lKe zi=j-mWRcly|Ag%;(Y6X&&6YLfTDEUs`&Ve&%i4`Q_0!P zq?2>VkD1RP=QFc_Tu3freleNFOg6cMT*~~X=j&&&n#BC0Pzzd*l2zd^sVMV6Y0xDxgIms)^QhY+cRI8J(KUF7Rq16z3K%S5noebgG%?eNY)m#`z8TqqnHR~I$d{RK zMYd)pm^70i%!iQ?%(NlflCLoTD)|~S9mtMkC+545QOtBDUnjdU{|5OcGd;<-$X?9% zCi^lIO~#P@n16?Smznp-_sN0G4t{D6#SehfK|nek)-If3~k zauPF>$tmPi=075*Gc$usCTB8lC2h>4l4;~@GM$`5eoW3KGst=5e9mDZX=i3JnTdXr z1!Y4^prz0!Z21&!8T;c3_Q!RI*FzhijnL=NCRTnyeo1~sZYIAbw~$*=y^Su1+)nNw zcapi}F7g|4H~B5Ohy0G*OYS50lLyFy|+|23bhnByW*_ zk+;b^KNP@hEwVQ2>mpkZ zl7GM&S0!)_poWkMYQ$_~vI*;(Bin-RWfwVunh}SvJ(LVX91cY=Y6I7n?iILp(5sBv zldmD}z_~<`J;>f6m@ZQACTk8N#r!nX*w!qK*`WdW>QEiYtqU2Xj{PSLUIwa zOUTdAwu0G}X;OtzoGH5>Odb4&ix8Dc-m!)j~SR1yUhBt3hWZYm&aKdV#(UD(XV@p!&=NsNn_mkZ+Pb zS^YMBZ?X^B7uC^pF=RioKdaxRe~)~h9Ej>cbc4xQatN#A=!cQR$q}d?NjHl8fQ)DL zSo(3~crpRi6X+7jByu9Fr_fI&KO{dw^)$Na zUPzY>w**?s)=$V!*|G}R)tu`(X4jJ&klhG<&S(?)1>!HEub|D)*U%PdE3^&Dfwn_C zpq-o|m)wQ;8@k=(x8xr3J900%kK9ilAPYn zbT`Rci2s6aLwBIN(BIHK=sxrSdI&v&ilE2P6Q~$^3YBm!rEm^9!6T;VR|C$dm!pCooIi5`WG%8b`2yPNKy{&d zP<>_t;Tk{<8JWmNWMgETKutO47Uauh5NSqR2ows1LE)S#03|hfxCAkXmYG@6#7Fq|bhc-YPq0gaB&==5` z&{xoA=xb;Tv=!P0f0CCGU*UYN z!4)ufoxFj#knSejE!Ny&e3$&2yoa{?&;#fp^oZFa@-gBkbj5H_p%O-=oL3orImvfL zO7Zak9APb~bHzCyQXxGvu5boAH&^-U^q}`d){D-Y^dYO0HAo{WYSQ__`ElA>aJ89x zfvkhLE?qsi`cNR$0BQ)C*wP5DG1P=}Xb#tc`4`ET5Wh^`A_b zY%jXE;d;~cf$IxJLorZ4s6SiYfg1q53%$q8`)~uHLC|1kV&R5B7HB9lad5++;m`^3_XF0p{Gy@R0=sD!FA<(vZWdWt}6_36w<-D(5Y~GI#<#_ zx*_XskmHaiV=vMhSs$o6R0A?XH6dTN`jP%*0J629+RzJ79jGo;52_CZLJgpXkO^u8 zHHMl%O`&E`bEpOMBJ>jH`ZC!PaVxG{Fr1mW5Hb{T7+pAA1Z!Sl+>U&eY)`&Mc0gT6 zs1wwgnJ#1`;wY#q^g1)$$nNADWDoL9vM2c#s(aDBZP1tYL)0I72O0pq3%$qI_sM~X z2SJ0OSZD~d7Pz5M9HU|6aB>7W5^baCK7fmdMnhwuvCueZJX;gU31lL&Nput8CP9;- zDbQ5tL+B%D8Z@0%GstAbGochlR=8PoHZqk=Lv}Wl&S(z#F*%paK-)ZMKC}Q@2rYu_ z&|)YP%7U_?C7fa@`3d4rp=Ho=W!1FdCt9l0Ly252Lr&&f^X7vz^{ z`wH3&eGP4awnE#W9B4bV1KJ7YLc5@Epxw~7&>rYJXfL!6+7BIo4nl{Z!%!Y{1Ud>G zgN{QdpzooR&=1fluFa3+Y4Rsz&p<6U52he zSD}398dLyXhi*WH&`szT^cQp+x&z&X{)X;B_n`+|!b9>ASwuc2pOD3 zP?-#i`jURA^M?W$ z)q<-{_X1gmtV`BITYb7fvH{|TbSAP9;>J)Ds43J8YVIb-!I#KZWH1@(Ca>6EAv=;? z$u}`gPtNTvvKQjF>3YNUf%-zx%*2rW$o}Lz%cTs28w3r8VmbfetQdiKBs7ZA z2XOJwXhvhmv53b(8ago?>r+J|r-LDQh=T-q#F*bt{eY0zva9h$?I zkIA`+GoX2l=93E$FN79Bc4#q_31vaq&=OWHB|ky@Dcv%1IpWXgR*);nRmiTUTSKlz zybf9qZQ%NEBELes8Ty)Au!H;-@g7d~9l00rK4?FuI0Sc?`8>EIoZ=+h56qo{`w=<~ z{REwXerC&A@*Lvx&;{rsbP4(e`W5;O`W^ZM`V+d$DXx%L5$8kKpaSSRbOS1cZbG-9 zzo6UD9q2CfH`n(8r+-L3B8$k!sCYtGOg<$`$WqdQ3IUZdDku3#tx|l&3jJA2>PQz- zb;lI~aU?yd$Rp%Y@)&uXJVAa>o+N)D zPhnm^(w&C;iS7*C&va+WbL4qsFVJ0tyF~X3+^=-Mk-w9FAp0lXWwpMfM`!CVP{8$i8GW8AJ9X`(sJ(&<%ilm+n3CeR3eOgXjjs#nKIdv(ODC ze33&`p3#q)URENH>X`Oim%Ek{_btBl)%2 z(&=zBm`f&SGHa!uMcT+zGL4*#Y0{xNj6Q~&3uQ2x2R9#D04;5CmlbK`|+Op}E zkW0x=$WPI>jBYvHXLKvzR?@A4TTQnHZY|w9xb<`!;5O2I4!4Q!3-U|EUqPE0eGRt- z+RA7fnS*#c-43{&bh&W5pl=xMhWi%U!{|G5FXDZ4`^f`{4?>5a!%!Y{1Ud>GW5sc} z6VUgJPLe+$K1KH<+-c}1MrYuDraMcXBhMpyf$k!CiTnlGU!mWi-=ROCKcUOe73eCf z^5L#Q1w7I>m@6c2lDEjeP;nc&1KnljZ@7DO_u(Eu51~g;5wnjuzhe5Q$d=HRk`7Xk zWoRp>Q#|B2$WOYLYUyf$Bo_p!!fCD;kguNfX(KY)m#Go084Q=41=Mih$ZcZJ}47cF?O(d+0T&1Jn`f1a*eGK#@=s)D?Oi>IQX(-hg^Q zZ$dqxx1e6o+fZ+)57ZZmhGL+8P=DwhXaMvs^d9s+G!PoZEf`G3l0!%fIh2eehmpg{ z5#&g66!`%ePmU(XkYmYlWiLQW+=#JYY2O@pR0GlNVfXObzT z6&17SY;dV`X>hZlbVhT?kIA`Y204$MPc9%Al8Z$;f~QAhdV*{J={sUAK*^W{RnrO z?kBi2bU(wLr8`HSM|=Ug$mkN>FVL@yej|TJ{0H5iaF^+>z+Hv%8C`=bfUYyTK^BrX zk-Y`|#ppJ92k~9#Z|EL$A9?^igdRaf&|_9Ufh&fd%HJj{EoII@3bKqWM+Ls;Q;IJE zmufxv{0Gj3PKDD$u8@HlH#m2?YH%KOo^W1}H{=6VXSN2M5vs|^7tRmzXB0rzB5RW` zpsfyFU9uiopA1A>1G@eHKl6?*PN~e+>3NC!M#k^60Q|p5ZM}WFl1&F z0v8H}F$yOm5VxUg3-=0LJGfV&_KaSG>i~6R)QRkjxC>n*8HKnj^g7fH>JGgD^Y6GS3oPFRnTf^4YU?o2d#%TKpUaYp-r6X3-U|yD{?dWHMxb{N^T=_$nE3~awnNf z?!tV(fp$aRLVKX^puNyOR_up6KzEQlg!nL&2OWWqLdT%v&La&T>xY;Lg)sfV&7?f_{O1g?@v6_tceMhVtRBK?SV7PTn93k-Z7sg8uTTc468WGU%DyMW4|atPl@EX5BplxiUzc=GT~oMbP;;mSGcS7S zOIy_xs!_C{MDy1uL*Kn^B{ zp=~%cg6$*WM$vsh#w9XQ9rvOnG&==5`&{v#dGx;^Sh1^PR zBXdx<9ooTYCtNPHi_tf5yXn3q_mJNqyBFHWXg_&?YjPObJg&+2a3`T3pi|I~&}rx= z=nV8Tr#efXBhQl;&~}mT65KCzzry_n{m$qQ@=x+Ic?E4(x%>hy`!B?|*>VT&F5Ta3 ze?b3`RZr1Y!nhR9K_|R)rTBJlsm5Er7F^*B-tyJtM!J*LNDtDJ^g^9CosayLkkT56 zjdZ@u`jP%*0NQHN)rNZkssq)9>M>iN3`E?3t|6QWYUC}CbW^xy%s1y6wn7}lB?U8U zCPSDBqYoz|P}hd8E%^%B4%t^Z-wxjT(kMh-nSULw8(nv{zKOUe3|u?UAqFQ6?<6*9C5xZGRwq6-&BS(H#=1VoDyN*i>ONO!KopXsie}{H$Vz3q~mE zYPvy8K|>@a5SSt#6RZ>?l!fX-!+1Yo*D5}iQ87LO+o_ngj8I@~ifKCy)@PS9qcQDq zX0)i$${HhBaP~Y8fM&3!;Cv>++~eBYNS!Cp@x}isA0wfH6F6Y12xj9o~U8Q6E)0up~g$r zc%eob)f+X;c%#Nk*lntheYU|z81?#l`BP)=%3Y^g#>Q}S6f5?cKo`+i_u4c9T|{f$ zXVZ$sQxT-2Dh6zY&E#vZ(=MWzrtw;20O7*s4xwaz-B2jmaWlprB%aO+&GhC&LRfhaq(Pj1o5v5pW%L6Q%R>}h`78>jc zO^}tx9Ua270LNW+2o(D%`SZ2E{nLL^lEt>n977(u+q14!RK8~Zh%(_TM8LngRzbNi ztr$`E)c0w?zq?jmxoNW)QFh<=e!#!GmaQE7uuSgNa_m)UY-QNb%#>j}m=UOP$Qpqf zX>1PEFylZCGo`30ku{~Lk;Ybn8fHpR!^~6E6w8{YsFB82j2dQ&QNzp=)I63oPf#O` z?J;VYd5junics@N))b*e8rvh(F!KmC%sfQR16lJBHPYA~poW2t| zb`Leo+(XSh*|qMWYu$UUYYmCvtDw}HW5ZWz_NoqaE$oDSszBEg0;5lvF4tBjths8r zZkG)Q1-rzwXL5-!Z8;`P+b;@a3b9vS)&mJib+$X ztWgBUHN{th_0b)|t3ruWFywyKDZk|4WBHG8)t`g^;%-& zos0o?jvRUA0LzirW)Rc-?&R7Z;t*Kyou^fu{&`td49lWM{t}@rlNI(SSVMbOxMFk_ zii_`j-CiBGLYr*JNqNvgSoc~L^PoQzk+b5iVjf$r!GSB(phhFifBvE5)W53;nZ}{i z$YRZN#k*LneXe+qvsn9FF-9NES@&G=_ClSUv+lX#T`YEau6U2L*yXw6ErlxPtUgz~ zy%0TjuT_1nco&QH&lT@+7VDoY-csm_IlDeryuHv>&e`?3;$18@JXgF2#dfRCfER#4 z;1yuN3!qr!PmZ~Dpc78n4?0*ZFPg>W7T(-u*vnK*Bijzey&U;g+QoQ}Qq z^`7quB6nNnwk5*ZS1fbn*n3F60PwoNP>PXMps!fb2_6b-xngsm;SpL>s*TB(&vhI6_(05 zm;AdJ>nw{)o-5wsEPnd$V$As|il07LysPl3oOAKNi!oM<|mcplYtI!pruN2GE zak1Q{-WgI~*@g^H{mV_Y{^-oF}drulQaGi1ib)r?{Q?XBezF zpXTku_#-b-ZzK<1A+qsXg*TD|aRrNu?%_)38bY%YzsHkq4HoI%IjFJH#3!+!SkTH;pbtr0c99ZZ5h|k?vv*byIa=B3-qHx#@M`B3*9{#|Psh zM7par!p&f9Bi!6{ZPVSXZH1e=?v-?R>np;onyy`XHETQJ=AnBv-NX8-aP!o)PxrL8 z7j9m<*V4VPP&aRDu$xwA7U^26*-fWwEz%WTn{>m38bTW~K?w}PP-zNkte8R~VIq7L zQ#*{<%6*q2Q$%B2?zRiX1v8t2h(nct8OdCRoyn6 z0`Pq*VclxeB#)n!By`{4n)@4@PUv>4F4o;PTy%Y_s@88Y!0Ps>dg~q=&XwP(uGa4` z!(*{2$(qQSkwO#Yk6-*Aj`fLYGhXj#SS*@6>V7YGZTSolzN36blgllx34>vd4ZlPv z?-Y{#b@-VT;dy7s$neFeX?VHGHQ6j=`;FxNzCyOwx^s1?2)C8bXmPpWzb02|a`NiO zb&=IICWBa|7!2~bV$PSZUXAO1S(t5^N{d2^K{VEIu|Bv{K;y<#>2}b5U8n|obhHLj{e-CwC_9b|`!K!17?X!{irY_^%T`6aib7c@LbYpsaIm2oPl*}J0W{87gs)iX>!wl;lu@|U@HPysc#pH27 zv2+ruwsBP5m2OeObERign~l|@MDvZlQMESKiV|)c>qfO%*#Mc9YUCP^Rf=dHB@c^- zL1g16yl*5c?L~NA`3#ebP2tO7N$j#XvG8?^{z(m;UbrfDy}z>f3a(ooyIQ*HvByH9 zaW+T)NlCV(KK4P4zhX2r#f37?`1Xm9T|d){oU1WP{y@D$SX_&}bo!=>FdD*9fzBo? zcI$Cth>Ah_5*(&t51k%oYJ=#?3j0Ly*!4UraCwm53l(m~xWCYMMMXa>9rKX05D!?9 z|F+N-6ZNM#H3MtFg(?xf*@+k1QUd*hQzG zBv&Kt*=ig?gFJWi_s{B0pN_?^(Qx6{{<{adX!tS2AB0mZR8t zMNhniTa=|RPhJuEYHX1vWry5#WxhFAqyM!tby2w5YJ$G%-xR-#6)Tp-*=_4D+x232 zp_d*fyDYIFcJ7d6V^h+^JL6Lyt-hBWApD!)XRsjQ*41cm!IvN8O|ik{sZlRdcbOvA z7Mt3M!^Nhc?IorVak#`Ezm#paiKyLnz019mCE{Y4U3Dojri!k5qiVxAAzZ}0>!ygB zLKNP;{h;u%e`CxryD@I}Rk7}4V`^NMT@@}4=POkx+M2OGaV>3Pr_DK_3SFR2oFTT( z7?F~usjk1>uuv#Irl7TDSo-!dqv}$&4KH&J!pXfvt?{Xj)y3-{i4*ru-9A%z{+jsZ z@<7Ls;$e@(sC$ZLXL`$YVK4GiTFkL55UQWGi(awJ6fOZXdtg9CN2;b6j2?=I2=`P5 z8$CU>LfvT0?4jh?#OK(53*xZQE>BGnjhJyL*gcEE0{B23IsuFkO_^dAhvXnCgf- zijU6|>F&m&S!fpDtdz5}M&eenp_(%aeZ%e&hSgYa6ERqg$eZgw5zBMs#JVF`=Z0#x zdFk%LSky&{6f>h>W+`sRb$J5qM`g3fi7!y(-0^j8-#f-47p-v1TckggWj!xa6}f-R zY1lsoOTh4F`{yOGz1UO_9i_fFTg)AmE%Lq8yE9kT(2Jf~x)@A}8ERwiU&^)OWT&y8 zuZ49K+iYQ}*T+RAiuH;5Dc46vjS}le=|8yoVW*G8>W{S3++xvJHIdaZ@LV4!q7t1| zB5IVgN_6_jS%sHF-SMfnR~L%)*G^pS>F8Z7Vjc~+H}Lk5LNV;xsLRPd+tP(@gsKVG zD*?hh@tD#w-BL~HTiAUgw3ee7{p_luwLBE~DEwO%n_F#R*0<4|NVVF8Ua{%z>r{uZ z=lLovSKtQWNZI(+*628mu*_5ga!@BP`Mge~wM-Q=yH($4pXHDHg0%3C)BJMM#iI`E z(>#w@W{C@0>nv9#|7YP+W`Fd^+j3J}Q|#MayzPfYO=a)m4432kgnd?1<$kVtzR2sK zi;2`&;>C|OJl7iaQ*cZt;HGa@bB)NEmDs`fBvBDFBP|&wtfR1|aUC}ZSBL$mzp^(I z7o`)+W=8oQ5_$b>)`I!wRPj&=&i*W0mx|HY=4xz$an%^*r)xD)W z?pm%K7>+wlKOegm!;XEnzhd{-<37dxv0}{9YQ?ri#w>#tm(Aw+JC(XCAJ|3CyfGb& zlg!xUq5+EW{2bi)OpHbq5x=d*H(M5M+%F-ntDBD!j}W$w(x?VGE1^C$VWpOoTN zFtc0B`MMa?Sf=2y^BW?^{dz~cZ-7=jU8qL246sCsoyx-FF&}F-${{xkk6AK>yUzHl zuWn`+VH~haYkfst_O!Dp2jWE?VV?G>#$2=*Jz?rPjV{bXi^oR;ZD(v4C6dlH-e?V* zs}TcjCu}`aQ?kS+n;K~=zEGljvhZaYN%L0R6p|S zlulE{>Z#ffuYS-eUaXGSj&6)ACtNkzlMZ>$Q$@?q?0(^jHB@*h4ZMs;i^|2)nRTs~ zGPpOc__fR`cr0>~Vw46c=7~6I%46fJ6Y|)|UMBKC`0<_x23@giv|QEegGJO(=VC>t zsm{fUPVvsg%3(Qj-M(7mg>&RRaZfl$-d`>Y=g2$io)~jm(dV-M45(bc#L8rZvwM#}&&l{IJLyLiaun%ZM*=hlqXb5;xE$*4tuI ze@X3~R(W0bg0KXr0n6gi#1;L&$BnC_-D2gcMp?Yw(KGdLXa=O=#OkW3uJ#SCcrD{~ z(mpFcKwKybUM3eT@<00WsWB@_D=Z!KTC;0LM`6tJ)lOMtixQiCOTIYoPLd7#(pe#*eWxVG5i_(0oTIS9*bz!{&{kUpDi zLX9lAGP8?W6&W2nj+$0GXDT|Rxu}cAk|?5ex}Ba{TsC7o(hZayY4o}GH>O9m%@7v< z^I9Xm{wj>``{_JaT6c;Jjk9x!lq}h~e!7XF(i%Fe*tAPzYGPNmm8)^BcxD&-uRCzz z(N0z5>I&I&%~O`+Nd-8SO~hS5r;)2iYDYz~OGL_?xH{CC z6Or;B1Q!~jVWIOv16QZc3k@8CS!MD97xxAGr~R`&O2FpXVs1A>tT8JNy``((J@Y|g4WpVqhsiQ=6edfom56-Q7Wrk|n?&KHfNEEDvqF;jT!Y;i_? z2R#oW5adI+g**S=puaQZ_2VoV#PF3 z@&$n|5%^6-N0O`7vAWP-Yj{~P;11EII`4`^^6>xjnk3n$@ULTUf^db z+~tl-GQ0M0iBTsWmDqLHN{n9OY)P(f?oV#RggV^rCHsq5f*qcjgg&MpZ}-maYFsKW zVA7uqKawWer>6Ml%sGRza5X&Y`1ofSkDryC+@?CQ!=5wihR*CNvO3sny6TQEz_r99 zo&B5(dQ@`Gtg||M5qgw5|4e3-zvyW1jUy(9I9&GVB3|e|+k-)t5!GLB2TA`L}4Z{n+_& z8}y{S96hR_*c5>qAKU?z*i{z?ZgYk`#?6QW3#5oyr?|qNi^=DyIPjJ zwiEqCnSaK7OW}ofctmL#yt8)jY|)^rWyaBfX#v8b7-}2)1t=o7e{^)X*=!cMMsM$& z;e|K>&Fdd+Hy~rQKD=kV&=jY?{2RE6^U{j;pV_kw+PzDJ-Cw6|Z#P~Lot2y$`3g*$ z^8S2#Ka4H>NBjPKVeI;(+}=-K%04-&sXISsg7DY4SJf>RqFkXrn`eZ)JP zjJBe3^J5%AY_yL)NKA{F?&mqr@_{(t(sFrc9XWZFWybm1cot_o@2jAS|`?0hW)|Kv|>Y#zaSpaO|#Je{XN` zQ-(1$CfcqS;bvpnlY90HqOtOO1}}HpXW6s$+PzuWQLftd*=UNCO&4s6kpHNf-!laM z(IUvhnuslv}^Tc+`Rq=LcIn5EY~%@AQ(Ikr6Q zm4(>$23_;xTyKa5uTKleuW7h0>;}ap|LM-VBJVrruEP5c+*JnQZLs&NuY~sz(b2g$ z*x~gA4t89*9H{$5+pT6ZhKn+6L1QK7Z@dQOTARJZ6UCmb(|(pMj5yqF?e=rxEya9e zAD&6!a9_$WVmk!?(O$yl8NIDhWQERgH6fEb;W&wJlMN4h4Dh9vOCk5 zjVtP$qBx~}Hcm+e+ADU;9r-@KQFq8y*WT(WY@Ks5bCgY)!m>Qi z6YnQ>5a#S0B}d(W`{jZH4_&ya9KpDq*Pb20S_d_eDarQ_{D0>N znp5+%v5UmgmAFQ8!MJf+=Q&Tl&~ZkKERhdd#Jwb+D}_axNDMM|^|WqzhM1@3c;zVg z5W+mKSC8f-^;5*U0uPI6`(7{c&PLo7xnOWOt&`)=!VF=|4#faJ3>WRG1xoS6T1Ul{ z47UP+3 zTdo~Z#JxK$(&UslI`=x{VDIzf+w!ygVPfxX=90u-B`2i_uS1c4cbmg14@&;6ei+jF zc!-v1`LonpmV9wU*_P^g5FIH@Sw6=cc3O7qdFrOjwy9!M>aroL^mVR^2KxMEJIl}| z0Pw`cfC4Eg*gTZb{zza>mdJQ}j=3y{L86_w~jnKfLhFT=g=wlO{;@ zLB>aBe2{?&QfnYnLuP6q0~4gyM5d<9)Imi3n2b-~gbY>`LIx`eA%hi#kim*V$Y4bwWU!(TGFVXv8LTLT4Au@p z25YCs%83@KmeO?!#$<~FchoBG-{sh>x!Zc9XqmbyGQTjd41>9BFrF7^I5IO5j|6eS zcR-HXLJr$<)E08smZP?i!?ql?g&el!sEvVIua%>=ki)hd|AZX2<*1E;+Qz{f&z3oO zYvmY@(GH`!9Jb}CE#$B*M{POQrOHtoYZ!?eWn&g*_%s8fcB;Uzy{OhooG;{y^|a34 z4}CQ=V;(;FA(|XCyY5utCyANIr}>V?YgNpS9r2{4e8rj7(;ec+;4U&JYrSGj!?v5% zTqQrg-~nEYr#pc=fpcPb5ViOw?|cT24kDakzR z$uk^wrt=Ip?Xhs~rra2u9h@gOoE@AeH{sk(Pw>$N?k2lGHph8#6VBa)G2FSEus58$ zN!2*daX7j0q##dj!nvEyDZ;s%@aBtiH(|w`y9v*TxSMct6IT{uH(_YRU4V0FfJu)sb zs#a#S$Y^Co>vP4U0KHDd8(OL|&n7(Xq$GP>!6G~gU~a?m%~9he$6Oc+B#f!HNp^Ldw&HU0at|TfWwYG&NygN?DROLf zskprzoHJq?_D?)!`8w`qgm08(*iJ2;EcxTZjz)cI2oBub*c4l{I8-!Cf<{X-9vUgl z6!|_Lj4srMbriZ#wR%c2jC_}2LG0o={%+wxS=>0aAMQN=ABV%z0S*LD_ezReoBPN*5L$D6$$p^vR^ zRnsT?o{(=u1#Sw@6Xi21-Xf9j%*wYHL`xgqUceiS_-vsi&k*YqD{98gj-4Cl{}5B* z{hke)6Cymi7j|7{BVmhrHxPgKOKwib>gbsUp*>=GyiPIc@n)GC_0`Hx&*R?QSX89L zxk)X4;e4EueoNTn^d2TX-dS6tU!}N3ty(FJ6Cdkdke68Ut>{nB=P9DrU-klw#&SMu z^am7^E8cnZjPhJ*e=HvBj?c8G;^Pf?TdurfK6v}i^#Eq*x=N`Y6&@{mDe=#(VMh%{ zgj76smIu~uv&9SN+o;x0E8d>ADxzcc15uVC=kbP`eq{$^@kCtUd8r!9v^a0xpnN0zm zvzC}vibCZ-W;p2r9{2g+ao>bAonM-D8$M5xGtghN3Lm1#9-^3sU%*)B<%JJ?;v+o` zyz;O7QKsoER_Ur^^({%F(8c(qvC`l#VSM7NxPAYLUFeSKln6|R&Sp|vH4QDoe6fbc zxrj+=IYtC#7>wHmykG8j2#m=I6iJzq6pmYADA$5_z00W zIB;0($oM!h)IBheO_;BnI~v9C5s7jcabj}p=yCCJ6IzMbp%X`1;$F63J`<8g$0f89 z!;|7BB(|E6AS|uoM-FM3FhM9&;}XV>o$#_~V-5`q9fq^KIXK+XCbV^gXk`fv4;~UB zO+svUe%*@j2gJCd z2|0zFK*S;4Y3$f|;Vg}f7jnt5LpzTUu?f#l9-TNWLgt>WVeHVi#$n^fJU@Bl7?Cvk z`N<>4SjG+=IcE6t#hq~wuz^FdZ6cv_(uBmZqx%RMcZutqBxKlmY&`auC9zLpLS%v? zVQd11MU7*VC%Tg*Ha;GmXRzoUHz6rLv29zCG-gsl?6_vl#o$2nn%FUcVsKtJ(8Xjr(2Xw$J%=Pr>^RWq?eEJNdl;Zqq7hc6cP>Z?IP zL9K&=MUXitBq%f}Oaz4oMFh2J9VA+}ZXMj(+&V4u~!diy~i!gIoNLXlCmeZxay|(K;enM3^H&B0?j=L_~N*L`0i5L81*-u??0i+F*`tP$-a{ zEMIa0uQ}|zVX*?Qu%T@O8{k!H88J3t(6~gA&~oI2L1U8Q9r4YYD~@jH-`(*6#ftv@ zK_d43pkWCjc68jJ*r7ucMB6}TN+eXIL_*-m3G%}~71JhTS~tjXrUAx?ixR&{T$Q*k z@lrz|NFqccLZX8^&`!E2iQW>|C2mRFm3SZ#A_txbiFOhlBoZVh1Ly({Km5^pM+=EP zfM<1Mt$>;}YSgG%!>_uRr?+DZw$JgM#3_j@5+xEfngLBDA|$#?yeBbEB1K|}#OD&Z z5{Ch7C;ltl)v{FaaVW{9uR~eMfHAB?+42weJIi*p#GEh-ts~+!CB>m2 z?J!9ANXR~2dath>ZsdQmga7Zp|M&Jl>+p4+TO0ST)BnRcV~!;)Up6*qM)_c?OX~$+ zzx!)R{l_m>-+J`UcjrqkfA`cf!{Ae9>(_2sNZ0nuH@j@lZS;NW7Qd0|3m5;|_i_Ef z_g+X&&fc~#XWi;AhICwW!_pw+%g;Th)mpmc=inIwU8^^}y#K(OzHP>i9zEdYtxN9s zZhdi~%fc@rlv{P;H+yVb&~d7|{Eb%vrX98QZ~M{0*J6*1Ip6)OtT*?1w3_Xjp1$h$ zhf5Z}_s+Map?eQmzpwkoXoqf=ruNHQUg_r+yLE(@wf*XGpDg+K_~oUyM*Hk}_ph3b z^zq+#xqk9WJzt*zhmUR#Y1{VHsn~;4e*d*RIK2PVLjSfGz8bt>@POZQQ(k(z_)4{2 zLFbbrOunt&Eojy9uZeyCK3?OZXY?Og-5Y#;+Q;+vfRC2UO^qEtD7yQr7v~PjT0XGg z)1N~x)!(}J*wP1wUW~1Mb86B{F8$`7y^)^atFPAgt4aOcQXSuxcZwVM`^B{lJlvB{ zY8Jjbbk`q+15P)tHEGkGBWrsU#borlUK`*n=#kl)bQ)S-|Zv@OzH{MZufqE+<`3$xzB4bV+8t{~dYb9+y!&Bw*Pd8;wMSvUgbf4kXy3^S zdGq{-$wgakZ4Vso^WtNDr;=OsP9_XJ>i-~Qbe&o|FYesD1MXJzPy{4aKoEW?BDTUVx*y*gaI-K^odq;)SH4Xx>NdV%lD`Ie_G z>W;5tAM)Dyv6mY6i7uYIrpvYwX}G@j`>j{<+FE1W_1;}R@t!~F;=j*I zsoYqT?pzM*w_=I})9Rdn!O0h%BHWPSyfd`$^*a~B=w!jY2Gt?86*9aeVc@o7h@~K< z3+q7%oWGCO{lzAvuIU*({A>_-?{M;aV9n5%lkw<^W#0nGauj?3`@-jIXi(iGB=DQl zaPw6+(uD5>3z^)um+pP{uZCZqEddLqR&-fqG+L969XOD$;4|CI5F>g8yoYK8)l4ldHr9MOFm%f~$C-3?21V+vyW#`NQ1)9Ll zDMa{Fw1ieU`*NNq^Fx>BiMk^FyrO+9x0Br#M$#2t(Y?MRQ&Hig3rVdL394~-4Tb5E zZ?C-p>T*5FF>=zJ{YRHdS)Vfpj9C6H(8lff8;$yNFYAd#CD`*B8SEUJolzri|KmLq zpwUS?OPx0Ol>tl${o9vvH3$?_JcZ82VCCLLu9@4#wRADNqtP1X?R}bbfLpmYZPeT_zxk@0q6q_qjb&DKK=XrzZ)u5y4QcA zKPA1+!6G%@S^VXa4KS*rRYn!+PV)U${6rVp(IrMRZzX}qVUl(?29V0wdVr~ zJCxFz>=cd0)-D@{5CB%Jh=~DTSr-XOPeA zd@1^ldChnkUV%#@e^rIgefuVHnP?c=Te`X}57B(I81W#qLzqlod-G7oee?oj$Y`fV z0>(yz$)=aEOXw;=6+5f(^X>QDGYzRzS}0%yUyGfH0zOCEu!x8rj)}U1L>cT1MUsmT zUA3Z+vn|Lx$$j&CO5 z-;e!qFFN(5WdKl{b(!ASNS;l* zIr+#$*<0j=3(yh6KpKK%T&szvOv4LVdfr53%9 z<>dy}U83J(*juqLpkopZ>8K|DX>Qpk{Sw~>Ng;rzM007pcbGBzfjbnDMRk1Dmz`Q@ zEH4BjzS=$>JgoXN8jLmYhWmArihMjICZQwN45GGd6GdL&U-MRTzqn9< ztPv9>O@8QW$~qBNpwO^T1-_=If@i_E_Y!trzftMHUy*2O zntq8=U>{!iYHV z=ZJYb^4HWU6>cS&519jEKNo?)c%#{TFdYuFKZ4QOmhgi`M(ygHEAq%nI%H0Zr|mr7 zWhiPO^<=z)TJ#u7vBR>H9hQ79A;h6$zNA9H5GCYsjdi)>AFb^MVfJbaj&3fP8rrOG zHEJ$HR|NVIb%h<2XyFcqX8tT}L3L9icyU2$J0)J70jzMd80(yHTBj~U;K))KgH^5*;Pmj zWAo%OP82!H`HljOAANbDP5f+_Q9rTHU1gU&GzzBv!iqN)xB=Ayvd)2`?aDz*1(|%e z*=lcFm7F8^J_PY-Y47{`IMSJjOVn=P+_312G^;i}4^N<%Bxq`?VFA;N?e4!O;BQB_ zqIA+^;yCf~Xg~QT%_A=Tg+Owq-5@Kh zwjiWrr&x~>no(K59$lsLZc2PS+mDm7zi_VzDjx9A{>8qDDjwb)-yNZ=)M#853PE!g zH+}KaEfyIDC{|{zMq`|R(k0RNh03A6}aw zo+JszJ;PiKux>Xp7!bj35(~;!sO;RTmvU5yb=dPA5Y)kj@!eb!wu%`S#$4gW*$T~lh)3nIu_6Yy+V*N1;Z&(_XYgJ_AnYULTDTP^}0d>m^ z@5B7M;eAiy3xf$q6q2HeKA8w1|E(}oAXIVLmD57!MnHeShBUyb<3=iK7YQF zGOj<1oAHP4K&hvClqt!Xq=LC^zU1uYo1~>(0f$6On;9!}5>7(PDGPvZERsT7ak&9$ z_@H~F+C6LJLpHVsg(8S6$5|L~1E};`>OrLDzCiH@%VNI|S#fgaV+|_taDFJ}%FsYU zD4PZ&d4++nVnSZ9$0IcEkE+!EB9tzrW~@;mwAXJ_=i}%z1ch5$+%>$k_+7oag^^SGtl%La5Qf=dus>87djP?3 zJ_D^%pmLhV9Xg^?{%S;ue4JS5u`>e)Ud)eC@f#`u61eVC8j<4wL807Yn^J`X`y)_L z{K}S2{C*6~LzJ}3`)iRu1n<93F6|@{DwqKrIG3B5IFI89r1}P_a*L{%;;jm~6`fRjl!PD0)@Fd)fZmm-P%8 zv>A`Pq5o8~mwc)#iFJnrO8o+~8mSm0MrNsijv=}+PwQVKx6Wi?4gvzqgh4(UxUHZC z^Ss!hHw-+_tHlJ{AQ> zT$Wu-a_f8x#;Bd78gw0s+vYK21kG521a^=$K!l0(Q@~sDd=QW7NX`4F<;_SHWv=R--Non z1bu5GW>wbS!PlptYpXJx=@;1U@NV|9Sh6fs`5PZhNF73t=Sv{;R68mg zOA{D8lFeIabGY=!;9O3Hh4R?y%y(>&@(Hr65>at%v5cUCP^`F5C80Qvco|)UnT9QF zHcXQIZ9a*gBy8TiJFInk#u|(1S@2FRc;N;tzn~_~6h z#z=Mi^&-%Ou;QmTLY!_iR)u0!WARgKVIKl&c?9pM~6T%vbSJol@vD|;=Sg*!QHbrXu1${EN;>a0cjXG;qU3lp7p*z0d^l9%>_Zxdt?GGJu4nOVb#&11O z#W8XGwLNi97Qc#clYGap>+`lIusY~LnNB1^lk6nEEWPDu1SQMR7;2b_)ou)tX(FLL z@Sg;-{O*|=IFJ1lkPzH>75jJ!8;V2LQ_o2pZ(YJ49DyW?9*cf4-A?Z0g-g2I3@!am ze675g{*3pnQ>)edjM-G+F-NY{zb^_9yH}ChINZp0+3+XDv3YUN@Jf^5XqV`>Qziz5 z@(DHk=N*g(YJK~wlpIZ|B=*~r6u%gd7~nBA5-j<73*7*q<;KoLxZOQ8?33#?n0S}X z!w5AX9*x*y_hu*%$qykC^Ob9Vo|u`h%;Zn=`*iBdlqwSK@h`v=W#X5qr-a$uoC_@oJ~!a}?%>pYfnpiXmQ zn@KWbfvk;)YZB1IwK&tlvK*J)qG_4$3|VR{&=D2?!Ms<61x#4tgeah8SeJ+&5#%Ww z83+&CO0OR*jsFYZ^QHu< zJVn=|rL5!D`Rga)L*RQ4`RWG2cJX~L;|f0w&etJuVpL(5SEDPS{chMZvQ`$#ybCBhS8kP&4{M!x6|xC& zK%v=h#NLCVc#K<_xK6SGFn_ECe&aY$ZaM9+#c_V{j`G~r`F_%I;$42`5Bg3dZ~XshcYPYzu?GyPtJ$}Rr4<;IBvgy@b-yw7_0*f=R8VCJI}c@$HN+;0^G^d5~Yw zp{XfeduWq?ICUJt!BE<+ewy)(#g)vYGc-n7H|*Lfa<-OE4q{{PVJ}XVgwyO^FhisR zO$(uVv3XzUdI1S59s`s`CKDCF61i6I5<{Wg_i(_6ct2LCCj`zbP}x`1RNhzxT35pF z)>+HLrigimfbhN}`hI#6=lnKP#mfz|blA?(e{NIC5((XG992v#fx32J$ex0~&5U2A z-WAGV_iKMPX*zv96Jw{)%=Q(%-)}Y~%x^F09E=ADLmy1z{>ntU`k-lVuL7vD-d#w| z87rj$aeo<=g^T>oTw;5{IdkO>`>$YpW?=4(DaVh0&!2RR)b~U*`X20Ovuc0KB>~R? zbNio?j$0UeE7Vo?)Z&RQ45nq23y)3Cw|GPnQC_8z6cdy|`%nUx*N2dg<+%GD5&}Pf zK4rIRWQ4wMf;y+{<7)WD=WXH|qZq!HwpgegLAAYDYH{G`!uB}W8R4f2XEvD_0sRf~ zvb43yL&$#(4I(f?MPB{4#7jecYOXFWAC-{UJhB~7iJQGx&DQnG=*%`EN>Lc4hI@IM z&top%Q_h6VeV!w7Pw_!0=&Ysk2}H*{tpLw^S^Q~~m21F7X--JqY4AB7xD4b#<#d1p zKz-?ko=p9Yb5DbBdA^*UC5xAdlq8_jN?Yo}>NxEhl^+=*%L&IR3}5)`7BYS0Z+cU} zs{NVlQRsh zt-sEG4BuB>N+~_Z{eD0f-@zl?4M?37SO^N6*m{r0Hh9TwgiL`+lA@e`ovCDjW3R<| zMvJfCH;H|;VADvn>k5(hq|3_0s2f>O2hv1%&QouCcbK?O6G{1+0>#0q4d!5hs4hZ8 zQ+&B-`UF~3Qx(T11eARTAubEne08dS$IRMdF{{gbZLf02(f8c&n2>;*Q>TLbRfgSC z)Rig3vkg-Yz~y)CCtPN{UVj0VJI=@Nxum^fXaHXepgfo;`VjHy za!(V64QwWlzF^d*W)RB)V3cx)-Ao_b6u$ zvKRWt*0){Tf2nA^X94hbcr*AugAA5n_#V(9F8MCOC#O9X8aWSY4 zn~JXua3`&sJ5L7MHDpkXbRg&C745ezgDx7hLYnK?@NFx*q0zA z=j|U9^Z0*)ZpIoxBnZJ?X>P0-2fTG;h?d!XURPjSSj_<*heX@vc>`Z2TBL<2L?WSG z;_XA#XYf}xW5Y$gA|B(0R80JqEK8C!NdHv;K_)Q)8xj1Pe%CSACzmhvL+ZqWB|F8b z!*8D>*W>Yn;IevNbpD#M?_rh7z)U3D8VGRG=zTQfS&6<+>9ORmC0q_n%jJ7EZmKvx zrPx35Z>E4R;L_lC)@DDkf_&@vL?7zenRQ1003#X`$urf|+`B$1Yyys3H15`+y`G!S z5UQM&+Siz}3G&37&Jnw&Sd2bJX0Iy1w0{L3XLG|B69p{cAjqEm4r3}*D)1=ZY){&B zd2}A$Nn60~=Z^vvg@Pac{`{eY*@q-T6oKQ2wIGB#8~!>dp=Arw4lksx2=?|KZA3pM zplP6aEV;*ch{Cbo49UzsOSw*|!HX5WOYEKA-DbRLq1X?=&bn%wT=0v!$Bt?m6cJ@^u~5D6);MVvLr}ICMkgc65IEFT z>U^h}zzw2@JQ4btMqsL;pGHoH_p>)$}B%PHnM$E)~1VrSQNB zUev)4QJ~}sBtuyQtoHx%H20IdGs>;3n_FicJXt_J71DIA4fI@QClrS1=3-{}n>wcW z=8Jm4ajBvTVmXUZ&3TIe{_clAfaE`?L{?DIZnltp5aUftlLg{R@@ZT{~GoEn>Tj2z&wYZf(q)00b7#fR#dl)efZw6l+=*b0}Dy zB{7OOc-|N&-lX2lr_N0Dv|Kwds37ajUs4Aey6qY74ER&n)H$G6Qfi*nU6z={Bt?9- zsnPRvnhv%S{42Phjn?<|t9nS<=E`2{^VjOGRP%D(xM)b<<%hNK**$otCJ-UaQd8In zhsh}#E*pV<>z8 zm}{g`A}d3$@Hx7Oigap@3ca_b{OKcX(tb%jJU8~p_KYeYw?0QahhJ)cl`obkDU?XF zTE};Z$tbzCrvA}}I3UO5+t|7h%5i%^{qyKKfi9#PSLEu^aoL}I`Yd^PK1Q^8Y;|gq zH6=w@^9P=#Ga>jNa#2To&mm$uqz6*We!D=2yH3nH=L?($$B@SIcM8rpk>eT$LR12X zO2dgoSbC}5$F&Bs`mf3*UkfOZ97G_a`$Zjjdn1xWerqXO{p>$NuowlucMiA;lAfN`ZU!=FWGUr@^&)v>Z!B>ff={GpjZv0f`da z8;>-%wTKz9@hGU<&Eqm+udw+#h@kX$!w+-t5Ag{tegx1F43uYXNS924dVbg8ITGV! z@~)&~bv_KwQ!_x8_B)bLEyh2fE^Bb>AaeAGYW__G28S*xaY>1>srsO^M3mT8>9EpL zadm4tp^ZUth!NU%e#kE-6BvPNhW!?S7x3r5pNWm6*xqIq&kD*fB-nZ| z%hQLjCv^u>`)SXXfM07_ z!Hd$GjP&Md{2uFONwD(Ha;Z<2*t1cTY=jwKixbg5Q^Y|;-Cqz0%D5^;Ny9a_c}egC z%DJd7{>BTEN3p%kH$?#VZ6O+H@D~{Cj@XZ@y9SqRa$ofUS76A8B3e#t_I@%`8pHNK zhx>yUsD5W9tj)OD6$@B>T%eY_11*VN(s^+|4=vG_P&ptarQoV$&lPE&)jPxy1E;zW zy(e8xaCFjLOtVYXSuue*ep%;oOe_y_fs|I|kNpA8zJ5RN`L_EIh5J=l>!%UtKJuIV zX>{qvy@9(=;tom8IrixcgF|AQb6y+W+y=tA!Qd4pc<=6+F^5hF0SC;}bnu*}qL%JT zUG7W5qaLt^$b`}ENaIKQ!LS*6I0;q*hwGp@w~0%VO|X=ylt~VZ0Ndu&i={cUOk&Rsjzw%t6VA#BoM}xEY(xEOc;Y?JJTnS~38JWVw`#H^)4i6}7468ODYSE)}_9Y@nOjBz! zlhhX}<6{Wza52;Jj*N*ntaDNHW{7X{2^?}jw5`T+KVSrM^*y(M$-!xMm@5{v! z+h%5h!lFTZ`pGkmykULeoPk$JXNcUyoAvb$;6FDFUf-aD2(yn@6=1bg}v6W}ST6BNoL`3M9pejmju6u{h-W~=y zBkGx&KU$){-US$Ll1~$p^)D7-TW&^zKao}vkvCA%Ho2<8!MwG#TIWfBWp8%7$1DJZ zV8~z{uJzP2H-1XmWRHPe6pi;cE-ZLzNVn6^60-t%`F^C*sEr<3o^;>(v{1+_r1>!H zGSx$kAxI(CT+8ylQS7kSF&2x&Ce+v_|^@#dthibM8 zUG`;daU}M*`hzR*DkCv|+rku`qJ27cP9^iJFK%(36~Z5Uan!|$!p=VJTa#B%7kv`Z zV~@1xcfcfUg|Mp*;bm3@qwSp!BYn0)|Bf>*hFvoq+kU&deH<0WIi|kGD@r zMsTs+ERkwi&y_+ul;W2lRLb|F(nte16g6`6+Zxs^_;Vw4=OS)T4F@y=DVleJAwACs z&Y3x?X?z!pwXg%^G>kwGv;pOcxtbI*YYR_yPvTC;ZSN>KS*;7rj`QQY2Z2&W!XU7+ zn<0na#-eXFgQCz$cftTn?DoJGxlnG@@SiUb3u~RYm@e zASRmR={!MbIBAQXMCWtq#WSV4z{C%K;HXVRbb&i>n8Oy6OUXyqodd^K;r~mZ-_YHf z_JDc?l&1P*CX0Up?>r$L&~c%7?$3cRMcuSFtG1*7CaN>E_hyEYne z>7t5dRf1=}N6k&f04oc(M_EodTDh&NpBPglu8dW9I%q=}C`M*T3t{RAW0-or1s~ zY%g{^oGY)PeHUhlqigD*{^S$uWsa}giKcXwlZ+YMqx4GJ17vKB9qsSuut6^{MCSGm zAXMXjQwEImZE)2gPPt^9>JF`cej#doVEcuTJPx+c$+8`Kt!KXa8hZcyeC-@zACG2b z!a!l`^k@_#-W4o+^pJ1THG{T-%C2k;3=g@zahT;SAiJ^sp_3wqp4cDOv`9<}7o0Xe zs2l$?is3M$x)hb2F?!i4f-CA9D*YrU0@#{5#?lSzW%$WvHjKxwp+sy&Hz)gShphjN zGH^vj$P>}P&e|wPdrA*D*D~tVQLt2dA#>&~o1or>8g;HtcE;n_KobThZT#GxlA@sR z&8|wkYk_=( z`e6rAetw@=4y+?cLQ*GL^;8dX*dy=%SfI+;j3#A*p=Z zY0qk>>HeuKSienH@Saz`tgnSU7UIwc{eU@n&A(Bs%$=-2Pn1BB3`X{2Nj0~BED(&3 zGLdq`LKd{!{&)qZZRXXN1k^}_ASC936wY~-Ni4Io=`WvhvO5m?~2rscbxJli0k&y_~u6z1iPH7v_^ za5DYxvY`n~FMZcLG8eK#vsxA<3lEBSUNYnlR4hC%=ANktHpNfe_HhIIt{aUYW25V& z%Y@2!lZw#fo$o|@gRq*tkS5^!D8sr5x8|bJ$;!Hh{QVu87C__x_SO0^8E+gWti@lnelb$;*D_=@;H)hX*24S4f}sK6cFu*0SP@m` z?rs3N+SB426|c%I-N<+HW9@Hk7EiDQg_9eo(&$2IdqqS9KYLVP#45%z38#DmVfwaa ztVoV<`wnz(q3o?*29_X$vc2zW>+Gu`&Bgkqd*?ADrFAvYs~{PLH0`6WcEjY^L=Y=# z^^!}tAY;ff&v`y~Ie361`n9GuglX53%H9_Y_;K@ECq=HpJ6PP5SV+l9%JYyuMqJ1txGP^VDHptWaEA-2R7ZnK!(Yv`tarCH zxN^7;%@|!tTWIX$T!V+$`9N&|=>Bb`iW7i`wRYYv?_~ zq*O1??xW8trk(JJ_?cBh#6a34+TdWP#|e>=^vu>Fi9F)iyzpM#o zkhqW2@+DZo>%x?`YlflG9qWjMP9b;@(Xve;Zo$gmsx@l3LvjQp^@kdY(txIUX!wOr z{x$6Q|I3H?$K(I;_LJpLb#|HtG1@%aB2czmZ8 z7)LWs$)CY1!wpZ@*uP1EQ`cLK{>K7mfO}s0a7f~CbpGB5YFf+E=>>!S9I1nRCReNs zvT1;sl=B&kDI#nWl2HC&iXbe@X#Ms_pk=8?$b#|#y@TCDD7kleMUuTs z(QSlTy`dTYw+u`PC}y>-t%pkzkf`l;^`s%&r;E(dH$h`GlK`hTcokmH2Rn8ILlyC8 z6W<_UX|%|+Q@fZzqPY|mmIYazhNedd@9oN`0dW{#3%crR?nuAIC92i^BX`Z7mz-`M zC(O$|+o7>uPwf32iCDC9Xrv3hW$=!azDs#pPBrC`2|<4UCaXn3pXca!1Qs`7h0#&J zKcTmm7@LB%zsNzQ{>QIjD?ZUI*_v<0Yv9@&tk2E9SzW$9|8L=nMU<iCOP*e3DOC znfS!#MQ{^4wZIib3?1@?eySdAigB5^Gj|(ManqY+-ptMdv>qc`n!YqD+2rkR}<=Z4mVbChPe2fCOANF^DX_HG*H-wO^7md zW-80Z3OX%n1|;`?Dg~5cCu3v)=BsC|(uC3)bG^1z zf@V%w?OfqWz!CfuY!y6xLYT2o0FF*a>J-{FV1WtSo72k_O4~YQE`})fsPD%}M6i1m zg-xJd`F=&S3;He7SMq4HMbTm*6#|Kg(kMA&QI6~i(bQj2A>$_o@lMURB_GBO?WGD< zv^*>SEOg>36EM)DjhbT-E`ZdNw2ll$;Ww<|PyRd1v+iaV*>jLK;D}^IJ5%NvlJ~uS zb+6k9j96TJG@3G(=zLE5QYqraGlmjM!7qk7yseAik)JO&)FSldp;4uwo_i}<*De%V z&J1yOb&4gOpRV#N}|>atvK?h}S>?Zhm7cm6bQj2Vq@;Z%&8ek%mDN{^iQWyg_% zaW@7_Xlq;c5q}{aq_AP?b76F!kkov|o6ufIZI^<+V_f2VRLG6o03Dc13RsZX+Q(rU z)+78|m*H=s(H&xHpgygm(tlU3!t?Mk{y%XA6bSr3{YpSBO5tnTZ1_BMvi?k>+o9J(5K-)Car!q5$z)%egn z@Eeh#|27=v?t9lr%;*KQUubir9veL#2wtoIo(eIZA2X7eqsk}sE}4d zyCol;50tk!L5f;IdvS9HboH?JxgD$4Zu+W8cIe=)Pw}FE0Dvz44P`V}rx@)uk4FIs zb8`4lXh}V2O8WZDc>EMV2ge198NwnyUm{K5FOl~;WT1H_aG!&{Uj>9p7`BscEG4SUtI80`N#=ttjM zH5#<5D;rLv7n#|^&;a*@7BU(&X>E zs;t0*_Yu(YLe$Xuj~H6rPI!?j~C`S60+ z7mXxft!8M%@1##N_M7*$jN(IAsb+z@7rrY3qk7e4;SnT6Zlm zfG(fHm90Hamd-pgIXLJ_9nka%8qLSzVUvFCmoRTJ%XUNhV08xpO);;%R4X9cl~~6m3e4 zc>fAI+kOH#CZNd%re9IsTVb0$ehnAVlk=$@_ixjpL!O$!(rd&LDps!rFuK%> zUg!s%M*6}C{)Ea%@hYq=*k_w0z)10kLGQYUKfF|7IVdBX)2z1#xoj3sx&G{#&@FC@ z+@YsC!8rkXj0I#L9xf-GarKOWqi~Fo?{MdGivaR4aZ#+v&ldy;!JJzF9ftX>O%(p$Zf^4W&0Odt-gx@sfNqc zF-1xnG}~B^it%L?B$q7l&v^cAj4R5U(>X9N{%U^Rn}>K3j6E(NyK{#vcHH45IDP=C zz|$j?)DAJK==-^-MBX$En1n`fwtQ@#oac|)np6PTl7f>O=JS}vbLix9s;uiZ4N9+m zV}4?t(@O1PZ2>}+Tg;izWrvdZT?=!iKA|N!beDu}#%8R=Yj#eRFwO|;EOt|;9=&%! z8MB~oe75ZYwNP{u?vW6FG)sj>kL_JT`Kn3u!O)#k4sce5KlKchUXUbAf%lM;?l!NR zPn&_3BQEp^t4UmIF(vxDG6%wmCafcA91v4EOqcaE`vxzREC==cluJG58A`7=?j^%MTSo0{kxqd$N&HnRc!L@==QF{Vqnt z^q5oXvpTbGc4D!e(rzG_7U(s~^=ESsIbxSM>R@Ck_Y0MVs%rFm_w@o)Bjp@mMsx>k z-G_v-O>i>UceFY73KFB%kUXoQ_pNE~W)*`JINfy}X4vpav1}~nvHm-^KJu#B6}UQo zxIaJL3v;X~(|i?Q2Z(`0n!3TU;eUoiB>2`b}!cvEvKPD=TpP6?P?=0Ed&ow&lZH&Bv$pX@y6A2I# zdTQe-{tE$N#fpe(n(+N@oSD65fbMD>GK1+(fp|N zD-`d46J(ATg-rbBW3ECzl^rB7^po9rWED^K@Z%-@U{wDY5><~|;~SR9st~DujlzeF zBV~((hw$T?EE$OlwZz*Jw2r5oU`3h~CD>}CyNWIu zrCvBY#_RL&4n>IRF(XuX)_vB z#YpxHD)i}EE?yh^1*`1S(OtEq>^bLmVF2zLDrOO{?0@)?eN$1$wQ z*yTjOtxCx?T(B>dLM8i{P(dQ5{x;?hx7&};BwwH zXoqPC8U6>tJ~;{wLX;s@@g5epIW2OcPr}Fl+=-GVPX_ghS8Q(7HF}%Y-@4Pvi#6*~ zdtJBSko-HRJV?pWnr=QC3r+^hr&%HfH$YL+-Y?JeW8v@%;gB+**q4FZbM~f? zX(qqmN6vhKyu_yNU>7fO+b(DclvC@{?uuE)tAz`$}a}JZ}z0fM<}g z9O@k{Bz0u>yBJ=%``)EUGsPM5$!@3f^0#7!%)#u`)hrerj#9X1QDL#o@#tPMC`3fc zQj1zO1ck`co0xhgS0s-1K(k(AdEI|D<~K^S5neO3@Th$jJWD++m3H~TLW+t3sLy4D ziTP9XJ^*wg7;EGMn=~g`=9P(<7k0&gz=GyF@8HQlFc;7NEMLb}3-#^q`RZ1rhVLbf zEAeXZd|Sg@6wRDNpsGCQPs0B~5Jirep6QA;De$dqZy0RkOMDJez&bCiZqx-~ z6;NshMmKCAAE9(JHSF!;?K%jyAk+CFAoibVzfN97{Q5@?VKC$u&l%QtShC0zsWUZ5l9e=H*PxL7nlef>aRv( z?AHa)jvO8C)d#*Mgp<4mKX6aCID3X;5BE%EoQRY61M+RMc;samp^SnqzJ?uU+FA-i zwas6jCjtzTsNbk8poWV+2zOO`fhLUPN|`qn&~eHckalYi1{%w^Z~${#A0uN9)6P0= zMM#ix=+1ZOlI0%gP-BlIr9t{V*Y+CX+U1%qpXuUCZiFvM9c;o zF!FGZ_YF1B*nkC^1GNriQg<&}&*mfzPM429ReT0COcFB%z(wBcK*G~J{DGDo1C)=8 zx?YW$!k8Z?!3fIHa~V;<+smCNtN-Tx;7IZuI`*F>09SQ)@~T= zgs-!)!`P6@qJl7`b-^) zL~Uq}+-ZddvvL8QI;aTy^>CJ$U{QZ*W~idVn^lI9Q^LjQ5A1S0|1%fHF~i~Os)TBqePE$L-f)3-KN z-={MQCP>vcw33ZK8Z>+;N$i^$!K+i@TO}18y-u>*{zQ_9Uq+&|4}b>l zsohByCnAYvmqt2^Zwik8c@_jlTnpz{XMlRQ3n^jVlOGH`o<`_};wT3_6da9+9x_B5 zn=8@i;x)uY5X}{D^7}m&F|@-~kYiom~y zVU^&5K^Qy))fMA&u|kidS+X?!Iag225kc~Y15+aq>J@H@SmuwJNuFp3pEmu{dF$Oz zh{eTNe(+aYbp7>jw#y%ps&~Y`f+`WO^GudVQtaa?HZ0d|xK20xpeOo5oP-`t6RaG3 z#29k~;^Co?gB;M)bjI?UteU8Cw!6}-EUL8itcP6C%{{0&2Xo>73qeG#T=8c=2wD9h zZiLqzol0F>8#=`;gjBDuba9zrfi<0(d z6A?2;?T#=A80x!`4We;VcMe|SFc$aAk1BE75mZYuDk{Cz>0GHWRU_P*o$7{LWQf2yv zqO~l1<;41O(FG6Z6wU>}vt0_cr3kU1*A>v|?UbOm7RnRGRRq{lRE)LPWgQPh$cKn( zT)%lxG~g8$_LgwsC1^?}I7EvYYhACCS!!?WGpu4`0ut5hhH{X!>Y19C7zM5sqLBR{Rct zrD&eveWcJ*^J*o5@=2651eEC+_iQD;A+-DA^$;|iiFu`7LjTh2BJ|-%`=(iY5xH74 zn9jxa`iA)r=L^AUoOdhR;9%Wd6b_8--4U0r0ZSna7ubvLp=@$iPB8?r}2|M`GDuBpL%tib+gEr}WB~K|DyqZTxt!U&3XCH%Txfy8)lutrgN&g-|Dh zsw>WLrAEYgrmgZ$Z%#e$0@FTV3eFUDV$H{RKHJq}<$Jhl`tIaqSm zI&nVc6_PB=srAOx)sAUbdW6E~r4)Xt1KM$sezc-~A>g~PpZ0Z7brzlS$!y*s9#X?C z{UgiOgk9d|mH^1UqFC%yA*9*pq7?CU^qHKcjgFxT3 z0{wly;nQQwIz<_@{1cX@?c7(2T6`hm3D?cUYd?bSW+S?cjoV#3%lYHQsVb!Z53tLq zQ!%TBmoh8}9@p!4WzRs6!$RUg2$z;E$M=o%(jFXBuKT0vRi;IQwg}@{h&dng7uo zTKn&_vSKVo=nRrjgQaTqOxp50dUAut@;zJX>oEO;{Epdk6%$g4xp(2J0(dv3I^QWTo! zEi^k+nEW9TfTjwxAK#JJNxez^iJLLI;O-kX(;@wtnIWPJ#Uaz~ugtFvtBjP|v1-1N z8n{o#F)l6~k}pjkG-|o;t}JC^tOTU;yHvXEL0Fw)@lijYX+gz-SH_qpT-(78JM-x6 z9*?>2o2Suw;%@{VBBXX=XGBHe$yiWr*rN3*bITjPVQr7*!V-bqGH%u=MBnGYYRNk4 zo-c~eHbH#b{H@@{^t{caPdAZGi2Spy?mU@nB@n9S%^@W_&Hi3lGnc{2fgs0Epp$*yii}1b>SS>y^O;T6FBVoM|!8RonD36c7$!T!Z zm6sE-dm-Rq51izr_g&eYm@Dx1g^G$Kx{NKib4xn5zZBH-~V$W9nPOi$yN+2R4XP0bK+l_OBO202#Chko|1cjFr-Md_wzI~J>%IDvZ;ed znsX+-km>k34_-OuxTVCKMR~T*hHs3If!rqZ)NDJCp@b(s+QQcYCHm&=B`6JUo|5&+ zmohJVkoFQr9={?)3;AToZ1a9+`8ohA!k;0f?oTUL)I(F6(heReaFYmwk<*B`^T={} zlOnu0Qaw;FuczHXG~YD;$Itu40OK+h+Wfr09TBXJ%{?Kls|>|*sUxzHHVOs1*ohN@$9MB^=plB35E86R3 zVuFm7$Jh$Bp!(^GAb~bR+S_)Ag zJws4~a@vWOj4gJjBJQb-F$e>l2Ay6UY1>%&4e^;@C_BkM`-<(}`W2bQfmyu|bMzAY zzrlVhA}vz9FA$?PKcFE;t;q)k&9WnUJ8=K7$A%Vru}QqD37t_cHGwdzv$Uo#Xm0le znw^jw>0lCFO~xFcuH%>67TjpVeJ|u>eE&ex&=?K=NbB{4=a%9xoq-FaWpRqG(>S;P zBTCT8u_KHJ@x)*gxMeErT4u5XWkP`D<1w$PkQ75Kl^j^Evqg#Py7E4AC1@Tu;>+R{ zM@7lxu3Tegim9}i{V!g{pW+(j3&CQl#02O2y|mV*J$W9LF=btdU7K74Lh zVplt!?0=EgTCE&Y{|Keo(MezK%75mj;6@rJ>6F>vvzVeigV`{S->T7?Dd5*-?{svf zMSI1^AA87HeT)wXdS(Yxmi&ds>l8{T)+NQ4&X)CVxaAj)xi(yw#03%Kkm6ZefuUKT zu~@>|WD?8aO?Np9bFi8j7w~eU&?EYWBLHvwT_w>Ec<$0+kI*0Yi8?A)xqx!rSY0_4>QJsm^cmlSO}uzDGV(<2JuJ^ugcz zU%B2FD8iI*^aT076=>5evmCFa9`hf=Y0@Z2+~cJ(-aJ1vP2O&$ez+GY{4J8G;3&Fb z)<&uEh{!^_6r|~mw|Vg(CnhurX9c^6@#eHj$UQ#z(0`O>q9tc+wdn(}`(Vwy( zC_UkV*mde^>dMMgQyv4Ka+WobHsPktVJLGlL7V7@i2wQar5ZNq?< zmQst0@J;W|_z%UlxdRg{fIS3kkbZ@(gkkoN;0S{Q3K{t|B*MY31cM$|**FGXgl2vH zXowz6VH}Y^&3Xy;nw8Nd?$;YCGv;p7n7U=O;~=+`nuAU?VjXYZD!5_PA9 z!MrR#x3t1=8N@~MEZu4%^k`%u5YJV-$TMN1#pg@-rtj;JO{6QvP9S!UN`@#I*Tzf% zS}oye$4x#0)d~6Uk~8Ypng9c}t#;<7lI8O-Rwo}2O5Ap1JlHuLg2976w3YW%!(q~g zdz`?OK0-lyv_53P{|L^X{+{J57(eEHuG*LKja_iQ!+OCqOO1O$s=jqMZciv7605byJ zEPUBZM`(<^B-I=dSg*SW%6Txq$%5XnYijP#MiH=x85|kr;ZY-n@~xnTD8*W5Uk~1` z!i}9FaDiyXj!*~WL-yg-#UwAw!wNGobT$mAcb(*GL=Fv`q?1(y^Pu=MwrJgdVlbQq z1-amhe_{ECzbDKeASoS>m13`A-Xkg}yjey2c0xnjRv}os{nh*zl-sPNB3HV(W>N9u zuNxrj9*0r5QXWo~i=Z}gohy}g{waOqrSz=x`}f#Cql;1+RyM6M$I8$&kRgjDHQSWd z^7Q!(_tAzbe&Dy9sc4DXE%B3S`~tZ2{DP{!n2ez?0<_+OfhyfYn})JfJC2koBoqBkwS!1a01XZ_8|)vD=b<710du>N(%PE%N72=vh-r!+ z%uo&e{ho!{O_2(VQFP0SIW*8)zTf=N8JNKQsh1*+Cbu2wXO$466sPG*HP;u^hjY35 z3f^o)g`bC3X*IUd&SjZ77t|?T$BdYD?n@kNaH{IYdAkt=IW6Kypeg!>T3Yx%e|QE= z;^hcU^G^M8Y}T zB=u(Js*~!!DcxxacCY`hj`L#belO^`+w~&Nc8iy8=qoVD=J)2! zh7%X_NEV3YV7(x-n}wh=G2fTW99J&{lj~1J#!TR^bysC}$?KxKVvg;oRz=DbN4Xcy zAyP(lQDIJkX;g~Y$vuhX+&BX~z7=qp@5uhJu|SzOhZUy}i(XSbQ` zrGg;rOD1h@+=~w`K8c_bXyPKkKbOu@9Ab_mfj=5W^E|w!{DO_%xn+FMZ+l;g6q1R0cY;brM2U>m@~xV56eapJGr2gcfl1 zEzZof$3|HBMWkBlruSY*tcNr!T+MwHX!r9jdX$@bPwLOwp(W&HbwhlIjdABNIPQ#_ zQQQtc?lP@AU~|JfyZ2RQPhY)^)z2N;+qN}9-7{n|02JdCQn3q;ct@ zU^oXGYisFns`tjI`G6oyj4Ld@?hzH9yP+2{^#|ExMEu|BTOm&72P8P2H*g15tDLV4P@{&$tvzo1rOoW`_vN)?wY(=XpkdaG{^O zB%`Y8NzZ%aO5`Mhg+fNSTY9rXj|Yp#bFPR?S8%GXccF?E3xvT5a0}#%?OM!$813;i zUT&(KDJ*k071sWUDbejaIKMA!o`v`gq?g!mD0e~F>F!oNaa+|5Vjh?H>q5oE6+Yi- zezk4GGmV6}*g}u!rVBEc=)>@l-t`%qPG}5K!yK26&o;^*Yklk)3S-3)Mx|wPKH3Ct z`+3FHvuKz5`M}2!x(cZ~jS*$j0#diDQ0(C*Z)eIy;o(`sTfpvWvP{8)uiD5-zKOd| zsC3sjD2JLfCrHC_gyTLJzEO$q8?=Mz>~9gg(xdSfXP8RiEfN-d`$6U$iYdiL&x(46 z9p!e2NI;kO_f7n9&35fkDjFMB@#Sn5A6+Y6E0Ay`6D>cYSJs*;^P4d04!-dE`-JY9 z(%MoV#u@B@aTVT$Dn6MF8yq5Co-`4tY8=lm0)*LLj=(zgnwQnh9}WG5z>Io!)v9Xw z=y2}>T}~P!WoA250ZhUG>X{Bj0MoLacJ+KanD%ekI*^BnWY_w$m(FyFgKCDtBQt)p z#EFlKhE-D+isy0`HGZeyZcV6$fbI95-&3mm?N4oeRgpzfq!FcOlb!2si4ogkJwEXl z97^N&vLV~~eX4Ag2w{D$Z-)!Z7;lu+#9rbG?dMI?*+gDok{8o%YUc28wdW0bL>2ih zS1#=BpxPdfflbw#biaPF5&_WAW#Uvu|DivS1 z@$HePN!jr3=IXn25WNt*%4O^Y32OALXKHhJZ96wfKv)~hU)SR!>$1~Okyo!KaMZl+ zaB~8qYdY8A29FikUkWtXhV*kW$w3AB>x84y;;rv`jChIU3xXp_E*HLnm$78eYgUFy zx>bG8k1y!Tj9@Y9|CeS5W4Fcr5vi4#^%>1Si6A!H#M@Ql$|rItEOaeOh2LNNNq8g z4aS1sj)btgo0I%;(?4t!8YZv!&J}n=NOF-D@A?w;hwro(ID%xkAwWHg=TZa+W01DvtAY|CgK z8g|tCp=wP82HhrhGm<3MG%loeNak;z9O=<`+RGXIF^l?W>10#eoes-`m&BpG$~nTU zzBdu$#1z^Z2u2Y6k%Naqf9d*rCE2)>I(E->fhi=d+GGAUvl|ow!&`*Qa8rAw(dNfc z$k755QT?fw$CzM4BQH3(apebE&J`wDXgQCFD7`okbE>6+U-^XECep(@5E5vQjx1OZ zNmC@Ukao5qJoXb9m*$NGR@}eDTuq;mnkZej}PYbcYq{ABCMkrxQltkmMVu-AB6Tm6<^) z#W|9M_4PdgqC)Hv87SxK3(e4J ziZ#}@!8ZA>UYBZ*sZ;y(Spdyp?~Cu+6^INGF=!gxUXcph%94;(OAm?^r@xK%gzUAT z)_yW0&C`7$NIba{OuI4ZK1HCN!Ak&(njMFHi7;gAX@jbhzq;$k7`531TzyPm)&1&w zdHDML1g|_dN)+(6iy!A(&p=n{w_~a(RiDvEZg+aO!wNTVoym>PxU3}f{jLEd2j7R| zZ+L1e3V&1uVNrg?38cqVN6*cDce-aklu`<^HB<$V5KwYH&W;$s<@6Cg<1?S9A7fsU zc$*UD7tC@x+6)n;1DGkI)WNGS-4)N`fpC6Nkw5ut9XIXiyQIT&3^|0CsSr0Iki^<2 zr3@EkLJn1CJ%0YmvKI3d+Fo(Y zKkq>xX4oxLc{E&XJJ={>s?D^Wa)xxD)sC&z6w_?@QZ#1S1(RMnsP4xwTj!;W!JLIk zaW(bK@p?}!C2`ix#f`sC#wf~HfV*PK;fIBU_RwqFN)um zN3|l;4!;MLVK+)Ur%_C1ld%7y`%aBs4z@;zttJoEMe-LvkTIUj2XC5O7tx>p&02`O zJ^Y!LNg(B=T|^MzK%ChS&v&GI!Y}5R#0_jzv187e6dFOfTOuq?*Fq%9O3r1cefg-5 zH83f%6ve3vv=m1};SK$!wr%c}FL#F$(j|==PUC?(vZhlKUrX4KR)&TB?JosLeK38e z#;3$yzL)259DSiFQ7noIW#GEk0s{9>%Tx_u)%JiYw4+uYIJQjXO&7jQ*YA$9uP8Bh za3R~Oiz)&!?8TP1qpBM?@?UWf;-2PoU+@qgLhmiikfj}M6?<{!K zIU!XbswoCup#*gl(POa=#sQAJ<*jqTEz`+9H=^I zG+(}=5(Z14Rv%J&U&3M$-b5jpb7^SrmhfVsc(5vS*jg5kA$1eAR1C_#1nw@&G$K?7 zy3`@JOg!1=f(hTdTlNc}o?6!@M!^Pw=Bg1*{|y(qRsmnq?fmY*8WYPI#h=Tm3AXE% z@e|G5oo&?w>!$yN!bRctvgA|Dz!XuFbHn!$CsOT>e|t$=nOH>+E?WL@Y32otlg3{D zD6WjcVR_9bi7-`pGJ(b?+=F}y{fx@Zuw4?F`zUMKl1~_j23BB}6g011g+GZ@!(7NY zY?U>PkZYm<@dYqiwGL4RtHsXE-2b2JT{?#G-kDuH;&| zuN4kT`t$?tZ__p+ACqGO{r2S2n{>SogL_7DHK2z&_@Vm6g2u|pppnq^$D z!WWwzcWiJ0s@dYel!X0mjH5P$He(BmT7FXb!uUkAlfcQn(X%JPC!Drll-A$>7G89y z;V^3JD~?=p$-!?+?Cj9UG;;VvJVBk#p(cVk8E=pD`!HT0 zYRX!29Lshl5&v!QI&}H<^8pmx2UBeqm!tvTpgOeR8qI;g$Pcw80&|2r8queQUW+AI z8J<8t3NbgcQy}fzao-sD?yqvsV4k(FUGUcI#|cAaqsf@sn=W^B^ZO8Y8(qm>^8`37 z;I}B$xo7`Ju?E6_tSHqJ8y(>E-F#8)+xUHp^nf5&breI(Fsj~-P7iE1+g0#eAE$hg z$D39a>IXzO|MBcjn~eTW)Lm_L5FAEMVl&6@joK@b3JnBC$Cv^i@kRO7eVt@u46NG9 zVMP?@-J!1NA8lL4t(LfhuX0;gmZS%t_NG;?NWz=mfOvp{Xp77_B?Mj-9qO9DGh8MA%ip_j$sWs<;P282%|*_ zI_^+tI>V=pISMkvGZ$gLhT|i>H5Kje+`! z-zeq)%lq%})UA+g<#H)D1N%s)cG==+x;0O8mzuqXrNwA2> zM|E2!HQ(I6_c|*)zgCzKV>cNKf+TbZ>*{3}@i-^3Be^504*hF92^pZ&%*{Q2$>8Jx zF>5=qDQ3y%zok!FTOe#MM>~JgzuA*HepO4z>dDzO1opC7l^CVJLq$ALIxwGsYl-y9 zYKSoZT*lR4&E}D)AqWRT)a@N&6RT&<>KYWR|A=)7R|-R?%}}TG)X!Iuk@FYxzrmB6 zWcQ#gq$DQ%5{k)_lS9e*P@FFkQ{RSWMst!L&v(BbTYS|VF@-nF4p_QIh=@iHPQFr0yl(g?{6#VBD_*vD_!QF-8?+Pdbl@);ss~vVNMTCCKKT3tA}(?VITf``Z*v} z^jzlg93VqpVAGylgWE5`fRz_aUUK(Q8ex_%qa`5Hz_L_{KvHij4f8L@Ll_lj7A(V4 zj72E3Qr9>9nwHF9m!LVUG+Q@mafo(0OUWH0pNKRgNoaI4$YmsRmZBh@vQbd_8?{e+ z)IFM@;x+XxANUu7`;cp`jvyrw(gAlq;aX&hj+rOR21J*Wtb}cT_oWG0u#D)=C)+2?y!;t-bl92ek+9C!kD8gZZ zKCRgkmRpP<%F_c7iiaLXr1Nm!*>0VD|-Wq z1DvjC0O{!BZv?Z4bD_!l-voB&L4=Jt9}9Z|)@3I=h%W|F<>HPJ zPyZI*nS=18hF#r3O?7MzwI5lmCfO>IeRd4&=t~$sPI>ETbwsaf&~_DG?;Wn}@;d)8 zE%SRCgx$gtZ{Abw2{EiL)jmhRK0HRz|N7f5*BmzvC3-HV9?K7TM;2INqx)eRe>S0y z_Ggx3wy9RCiCNuea_8s|^ujT<=hM0D?5EYx4VIv8;`h3*8cUH1F-ijN_p z(r^Y-BxD@4LyDRMo81R5_WU}L7LrWmp_nmpJzEYE!~}V13pvVjYdXbqSLV!=UU=*# zy|8Wa7?fzjcidV$pU+tLIf-8Kugh}e5yPglkU46FZrMVwK^dMZKS6Pbik3v&Iu_w& z1;hu@)kA5U^{Lf@(u*vPH!G$iR@Blh2A`Kb|6*Wd6>6W zbJS@1F9fg-SX$*`(UKLAf5_HO5t0oP;XUkmyCVl3QOvr$uE75dNjdcWh}dfGeSB*P z*&oo#fYDo5JVvM0UYwvk0we!j6*`Q>t$!w=s4YI36A^(x(aKB%`UhxY?;av^l1HkN z*t~9A#zD>71sG3WTCZOTQ}RtQ0B(WA?GX%Bp>(7OQ|&WXqbXL%#7uWx-h~IqN`Egh zn{vwZZCGQeWRWH?T!hLaY>wYo;}Q)DVlB&8t4{5l#4Yey5^nBTgCKf5KfajVKppT27a0JDl-yvy^gOQfjAZqyv&+GjaNG!-nl!6t^!BivM8p6ue$z z<}fOG;4`=KQ^e@NQ~MKID;Oi*N^;71pK^kZys_KijOc+@Nl_2WB&py2Y_lX|YtSoD zb(hPb)>aptU1E4M>tZ60S7oIOt5fohwza|Hu)+V6_YOC?-phO-NQZ$cXR@0U+)%u2jTPRP^N$t0PXf8PRPt#6&8O z8)_&CK;2w`#!bX!m-?MrSnK}ynX(BUj^LbI5z$p4v>D^=b??>{M+Q+v64&hlsFmdc zN#HJw^Sp>dwX@f51j+MzYAsSc)Cjc--XqfaNOlc6o_mCB5*X-;WqOuI1%Qx%xdFWFSmw$?w$e{ zBEg74!K!suE-Pihh|VpA-ja9;3>qwLWbaVg({$ob-1DZAiYLX8RqFvye!nx|JIk023wF{j6f)EllsvOsAU~;>q%J{4q5dNQuI;eIm%{9c9U#;bz-D19a zl7bC-F!tGaW-IB?gXCQc#sfTTk4o49h@1D`JtCvI%1CCp)Gm&4*y_Uq3?9raU(XHs zIjszmHlzdg=`zIXJPIB`IP2)ZR*yr_upaU?=98^x#MztWnPE*H^e2x!&SXd>qH(n8c$aEX$iJ=ha+&!R!!|g1|!s*mZ=L3S36q|Q!G->Syks}%Q0<++?gw(coUXZ|L1dkZA2>AS#)T0_|5K|ltBejxI zPy?=N5GKya19!-0e!Vo2%-XYG2Wg&+{3=ls%Y`bR;uw}?vx?@6#l_pu9X0y%8P4u# zkA44ybu51ubGaQ1ZwQ3l-vE8V94CI6gIdGrYUBr32xe3BL%_2`TcH)$fZh zLVu{+2FMBrwkyvf1{{zu7h*+)ZG{DOF<{8gJJ4xdY_Awz&Y>4$be#)8YN1v~nU)tS<@d>*ltb;G$+EiB63I|-6|0bako z(HcO?1S|FJBWAceA*L}JUCEB{pV^QFTMO)WLvjWC<&Z+Y5G&!Fh@E0qTr;ncVqaIS zfqpfF3NWjfp;KtQH873_Wjq@w-}*-WP}0mo4pGFgip4;)tIm7E7C;bK~OL)it0!K5c!e7$@ur zipeT=>Ki&rwsWypx%4YL9pHNCTVG5V?hVf;sXEOPy*Rd}%7$G);RA9S@r@;lVa6jY zu4K;4e8Z1@dp@j^8BFgySp=7!nJ}GFmiaDq7bI^bdM1eKb_rR?drE{a1RJDSAQ3Bb z42eX_Lu3QXW>@2-x){T4R4kQ9Zg6e8|w-{uTysv&%_v}v`ZA6r)`PQ_P?Tewg zT5t655AJ$7s56Byv_aYob!Qg`|W$YTlQGsc}8ab3{DEke&bC;)asRZ@m@B zJe6AFvsR;aNWMl-ru%4@TufnBpXgH>SwUT60#k5v7dk<$3Y`dRW(N!TBGI!vGgTRLV%?a}R3H46;_kD&JZ)%TzFgc;ED(;|FI|HCpD7^b=^XJ$Dw8U^W=bM`7^!ENX z^?20Y2k8QgGYuQTL0U0Ib9ZU6t~i|tndW1E-A};pU-{fNWd;~ojJH+E37Vh9E`mL< zIb?T!$W->V$Fnw{`VeDqNYd(_Ufx=pTqc z!x8rC$zbx;`j`%`F@$qjBhNoJLLPucf+b*w4dfZ5Re4n!-csa?>gK+a2 zNnmUQ@_Phq;gYNy3%U6zBy|4yeYQedQBpQ00##p+t_mw6i@IIj{b=A zBLlPD%nK}QW^Yq{$U=kX&kPR32L~AtC$24D%7y3U8(IDOt=bdEI8!UT7{aD^6TFVU zTUQ1S2g=xcJ77s$uTIPEQ-ziv)Y*R=$BF$G64bm^0(Nb}y_&x(+0HSZ#=iG_NA2W6CHJd`q2lQVn2@=Sq9~pe(R|#iX$)M3)pQIw(NG#=YeNL1;2#(qv$_-#Fhm0uPE- zeQ&@`Wt%S(=>rlV`sD&V@_?YqqJW{&3llW34y_Tndx4-F;%3VD+fNpKSwLPrBN90f zM7z0P_1gKnYF|A)ph%ukQ_?A%-VDAS3$Y=M6n?@w1_%ms)?rdPbU6HO?A=#|W}P_3 zAtELxM(R2>`|!bLg7P&YKcby1odA{xqxg#l z3Z*!rEcT+CJsdNWgTUl}-4gak%JS2k&a(ctXT!^L<-IK6etXWjA^~H`L;J$3JpWWK zGBlX1hNY$V3|{%nyK?vUcH_DtI^VcTk|hZO3LKO|Ob9`4xGvFL*5-KaoD5pp|8p6L zwqI@jJ9IArg+CV@3v{j;G8<)W0fi4(by&-3jV>F1>ry4U@PzF>V)i|H3Ic+H3e;@` z3!L2yTjmNAhlJNg9Omi6E?Y(K#0~jo*u4>HRBjaBq+zMy%ABGLKBk&k0Ss<0_SK!0&V?| zqn)R>q9*vjz~bT&vd z+Kpn_*0{U8M*h~#Ezz=Wf6@U!2}WRc{Ehxuw1<&|GClsp-LBZq$&}wNG@64XII$Nn z0U)iNo-1Dng)sk5_?wkL(Cx_6-CzzpKE$ZB#OJWxU>rsR zymSzGN73Ql{RUI=*KZURb8k*0)_|Lo7D>6-9%#U`{!Ef%F${Ox zi1cn8JhxT&yx>k}7jJ2*h4ClRZuM^*U-(%d5M(I6Op%HWz)7c+dRgG8l329yZ8~iL zpgYOMO=sD~&;UWick=WL7!!Q(y1k@MxNNIc)f(U9;d+`Ll{}-N>t$+zAgd<9)c(`S zG%{adFKm{IGbNEOnz_II0Z-g`UPTu?6+mzhTGkqKLJZNFYSVirkG^nQbVJFD1acj7 zXe8B;F?J#;I4sEcm9tuD4d~1RYQM3&UiV9l=BA^^^p#w;izc5LKC<47k@YixAo1P}%LP0LZHA8x zv9WUXoF+R2O0$e_jZ6`BdLt&cD0E&R0|f{6-xB0F8OUge6PL|HSL>6i#M)w6*h z36Abu@A{NvT#ML&?ljbf9BM#5W-^qAA1b`R>1ntpJ8&wQN0^tuNd0Nyf-FO*e zj{81S`08TGb!3r$evR;Xzq*jay!RnqJ$QKvPA8`X=`IvlI~5d~A)WL^-UR?b`fphD zh0CSF`UZlFogt!9gwl)pZ=6^Hb$1Nxv>~+-K#<1IVzC6p#$QlLnQ-4Z6m4BN+$5Ju z5DK;~b+~?~O&|e5Fn@gB%s+-xi1B@8my8=S3pn1&tOtzb%MU>EEDFi!K+t5dzAH5; z)2D~d7|M))GuC)_8D!6pz$_91wft1O4&W;h`T6dlPbWpK!DB@`oY=OJBgX&SbdXGfD5MN1+TOiGK*zA%dj1xW(6tLL!-LYytbiuk- z=cdQVwq(Xd(r?UoXV}|L7VqH`7YGtWuL_E~`ANC_O*qqz;deLoivJRIZ)1mmHl&pv zcoWRm9&%%sZ!6FcoG1p*Ok61d{UOKDH>YdMB)4ICkx6&3&BmWGBD7`#Dy;g z0F-?I#Zum%rL4lKgRdbY8{$0!UoU_nQYNPiOJmD_`3(Sy`>_P+F>R{*HhQ45#KcAm zL#M^gVre?9eK^Y_Ji|c+0Nq>l*%9Wl#s^>Vf94w1PlH=n;|ck;r3Ijv7S7SLBmh7j zOW|Gp;PijHhnf82%xETK)&G{~!v(<=ge|^m&vZC`Nz8Ta-7AFhyHc`)HXXv*Ct2;2-_2eW0x=sRsT3UAK z)?$U#>UA_G?M@@ye7_-_dF>*b@Vzb#7lJdv13=`CMES!7pz*K95N)GS)0;ffx-Aeq zIwdGt1q7yn{*@2KDourUsIvat&ouoaWHcRdGAh5Y-!ts z8aJ}s(H+-1*%=lEaa*7|{x~SjTytY;Dg}U8{GY*?#Zd97qVXW0q9tmR^`3WlvIxe! zTxWg0q(q1Spja4-^pUN(&l0uD@d-FK?byX-$CQcnG!%j9YbboXudI6+i_>jzm(-R? zouOAjD#6GwrEINpPljHXX`cDAzkme*!G}O@lO0`$j+>2`6(p5M6viAji1EdtI`fdg z23o(w0YI`zB<0|t#d}GrLH4wo0ii7G3ewyfn-inWSwNIj z6;%M2*{YlPr^CUnSU7Kg@uBtCzfIRtW_Cin%%ZJKWZr_QyV99ZJ@OB*CgKxBWrX{q zQwRVhPX7$E%CQ7tCK4A3is=x<(n}J`?cDJgzC^fDRp3RBgk4*&9yr%*{ z!r&H)=qXE>527a3a3{~v4>!T)MBhqI+U`n(Gvwj&0U*`RiBnUleAkW+hxDAeZ};?HvqXVb z7LzKQy0g~|8{p676|hzAuhJbOL{_5yP&(JreEBV8J0oxX)_$AqElkO;$!AyWS{6cR zHD8CZDg==Z(^wn;sHWk^ighbaTHT#DWtP@2j`|(m!eq<1mgmIoywiUn^Z?M{__AyX z6&4+oW5aLClVfnvvqjz319>rX4@Qc(v8yj{&}@E(zCro)kQ}95&iD8VT#pkuDrket z5-0XIg-_{UHvQ-^H5jDfa@bJD1NY^-eCXEW3fLFUBT?44z@uk<{MyOll!Waw=*~U; zQ1wjEUe^;m*GOD{8-F)ChC@nQ)jNK9Hgpc|^BgM`IM@Lg4cBgkjpq7|+X_2u3Pmiv z=||gH7ytxZ9)U@m>a6c6gSyR@@~dNL$iIcoDTTC)7*l=@{rI9^%}wUQNGk0i(kX>E zhq8>JFahBEh;F#`GZ*EkLOQAbsvmqagm9*K#7P!SMW|M1PuQ3)Ku#5zqr*ZGmVoqP zJOF6!_#h-y3i^830NzVs+FIS&TP}oB$;Db0JC`yuMg$xHQh|8Dk;9me?+t8xLNfV0 z`BbeXj~@am?(gs2Wap0(13<{`rZ#0kN?ZDyzvTJU{Oz8)NlJBEKO=4mAK<23^uHoq z>p9tV{DRhgz_kcCTH2?sgo0v2VuOlLA07D&{w&A55p&mbrE*d!1RjTpm67%74``XEI$OO!;B}Abk)Q z&DZ4w$v{JPoLg-^_<#?cNXJ8cKW{&bOnWog8UUy~{kzDgR6lC|(Dc4nC7&Yk>N~QZ zbl}n6A=$w4^32!M^5da_@es`veOyWu=~4Be#Kpg(RUC#fv@N6BOxl&aFSh3~r#S1K ztbCC~1b8h+KSF=Hor&Mm*cyDdDKgg}sYwBV{QaLJprg;AEo+IZpEeTs_nH#T)(aR; z{d2bXvX)4`Y#J;=^P#sdcYkG#yCRGwcY&8g(8EmWg{~s2<>&2_H zX9+y1o%FpEY^|`CITS*SdH^VmXCmsE-+paEE{B4 zDe<|xhmSV3i|_TF5(ozZAP+u`zEM}^Qo(F67qwHA_e|7cfLXYA3PFVv-2=t_E&?FL zE_&NW3rjbiz+s|x`}JC2iFMo{tkakk`=IX5Ri`8ZAmU;m)*!Z$`U_05UbDJ8LVnS0 z(&IcM3OM-Q{d=GJ8v-B%BRxrOl)LMK&!?N-!JS+g*WNO`rn1WCD7@O(I?aMzf7Sm3U(a=AekmEDs=?{of=kRhir;~9Zic$P7~c&G&TrfGyKgB4+0>y92=Bo z3*OLgtD%n($EJexPul+fpTCiAd{prtrShl(Ad(LiGmb=g5+AxXY+RAZXxDF>i@PuD zuKa#f^uzumumT|C4YwGkGvIZw-nJ1?>Kt8#sZlRbHQ7MgP_N@ zEJBK*A40AIAm%}7ET(y)c71!JeGsTgHMIZPu7EF!+n5Sm0&jW?0RkXS-n1tf5#wx@ zc>n9H<()c{2SjC!x(qq+mA=0bfqAV0Aic3Qc?RP8Fsn{phvEi-Y56K0Lo?NaZ^ zfQYMR=qFevzJ`F*)voa_BL7IZ3zQ!HZ%U|1{zvD&6<8b zC;}k7jgRR<1q^i$!3r}pQ;6I|xnwQ;V8-w$Z9uGjXk>^2AT`#vZWRnT*(x6tw9f5q z!rX9x?V?3O_+e%_qzk1Os<`LEo#cB{RoDq`_Ht*#n5~0C17#L?$kurYHl&|LM(VUzDAOmPUNZCy<*Fm08 zNF?15jlvxKu{649#UuC9!D^!19ReT^f95i3ir|f@-rVE29T~B%8H{~1*qDU7XwZyI zIs*~{Alb4=FrMenHDNmsaK8-|sB@k63~0ff7xZst08<$lj{+dNhlaHYko>Orv&|3x zh_V(btZjpDwLy7#r_&fpA0?*(Ak29Hk;(;>wP{g_!$gOCg~P8d^?*STQ39wYx&*by zrUD?YMCBJ}@2A>`he7dQZNq^lj%|R(d}YQmDv|k>YjY0*Aj{%$y!vY)MtsMX6KSKM zWKpvm=TafF_ChY6%VBH}0sMHoGFVCITSB{l=1~gO!v~LIZE1c;HbX zM#yD7SfjW9lJ~6%n`TP~!SSbm5;04EZrEGb8+PsyW3A2`H6apaa zpWzi;@N2c%-m|yb08oKQcE9O+SzQl((%9+B8mX)TATUr*TjSW#^ckO%F^DPH6@0EP zB+Fdw1j7B>gqr-*5dt9hwV)9?hd4(G=PKY6pdbnz*C>$>K*<1$_pN+LXGNw0AW%F_ z|Jh$jgje~zv$`p8WJTWrSff>w7XC2aJS2VTq5>eZN&@BC@o|>lXz2I2|0kz|y#qU5 z6H2mgQ56u*EC-eXAkQ>tthc-O?#|%Rmre*GX*q7?AsaJ^NDe)9t-;)KHJS0}T+Qb4#pO<>m?A$-1pJc8AAjXC_oAqWg0H6kmy)pDNCdRFTw^tD{ zPt!WakhJPd9s(fBa`8~aFjDb#TT(t#@%NhK?tC{Q-qlle^8B8tZZQH1AT^lxV1YfX zWe67~+;jJ2=B`w1sFdvzm#(d(@P-bPh6*5o4xPU+$o_7V+60aEn<)8=iD0O`zl*3G zWPb>fuP7r5Ao`IzkVOh%%2f{fQ3CZD1)Lk*+!8UUmAdfdhMdmSD+(Y`;LX?}@W{~n zFYY+pAM`?ktiEH~%GKIe>61JCEOsRdAhKnrMbkL*CU1J_&s)tdd4+sQ$iZhz(xF^T zJ*=zS2MQo7u)JnXLESq8DzDcyBnIpD#lFU_HN_Fk4^kYyhGu{YAc2O;-+b|rH;LC< zxW@k$A!9K62Q?hY%?CD?>@=&cg$f`h&gu*{_b1tv*3Bc_(E4LCQT5z75`^BMEQCb< zHeRX<10Y2?8K>%MOkdw9ecV-?bW!+KJ<*7J#6YNAB-Gzw2(3x4(}9 zAYlSOql7ED95-*S!A$O_=v)b4C^_JTvNm^^z~js_h5{fE1r~*j1#D*xi(Wc^{L1-( zJ3mlE@Y3XQhZr&`U34D;ASJugTYYrA#y&9PK3$F&n2jb+L&vzLBbNyi14w{`l>#6d z_1Na|X*(`C)@@*D8|`GGXw6A7$j+D|oH%3g3E2t)AQ;MPJPGm+xue)N^IUYAh3xSc*$l%FrAH=Wc1pLxh-v6^tpfodeVE^v z>9AoT**RFGQ|>3uUfHQ7h%`xv)X5$z5;78k0SO>(XFd5C+lDZTYM#Far6BAlxy72jHunC@=Ww50-uW<85eeSY&3O z`)K08&s4mrq6Hwz=z3FZF@9;uWzM3@*pVljEN=0-g&kVr3#m4c-hCkjAUb9lBZdXf z_(fa#uYgym+C&f;t)lwU$h2jK=cv)2hy@@EQht>!iv^4!v0n}pWSt!%RUai(^ zU)%ACeE1{Y|^Ae%WD)2|qjDN}rb*m;i$X10eJkuE0bh;GUnIM@`u^)Vwm3%;m4!Ep}!3 z{Sg|KgApLq?^nLbB?L7O*pbMK@!qk0JL+0ucXX^1=U%X(f1Q;eGI~L8c*e-r8R4oX z8TmlJFm+IcAqFHc)LHkG0RN#L0R$lZ1eIg*uSBt3IR;d-gxMb?5S7+O30a!TeSb~t zt=J9%AU#al8~(HZww~eHZpQ=(Il$Gd#W2>$16ss0?4;bZ}O-zV9f=LRl?Yo&rZ$80#Ra?1C#z zLYfQ)q66md7_qKFDZk%RpLI4 zO*EsA@fRh_Ln8x?(2kbG$E~x0tpU_=Tis=Di$vV;vPzs0iT4;k6E)5hHnkmR-J z6tTF$M9OFJ*KwID=r0BUi3`So+g<+uZr?Et>AKXyTA}&y2WfEn9^`kE2YnxA+bn(H z!f&;}(5zG{HNf*W>CS%`qw4W&v!dhzJ8Tx#2Y{SMSt?>pE8HM*bS{uHbLR|_9UJLL zI4-@1nJp)ab$*=n+GK^>ij>p?hD&zhQ?+B$e5`Bie?sou1PKIT`p#x1!wbyUtDH$y zZlP~2ic9h@MJ>8PuFG0ShXM)8P&D6b=896T8Pm3$T!}Nr|4Nq!J&2#gbQk54R@jFJ z0002D#QNr1Si{-@ZhI8V-H?!LL}j$tfKT$TF`y(HRB9jMpr=7)h2}5Uk5*seHk?vi zzFP@UPQF61wlJR7Qz8NCVXTR-6Ex}lb?PwDun9~Zhi-?9CFVYaHMUo{Lr)Ml9YpjV z|Ald+aCnYQy1Jt6pUkr%mtx$mEfVzb|F;@^UP)RLAtuk7QeLaT{0vV)Cyr-wT4v!* zZ3W8_A}lE7O}V{sB=7~UTYG0|a?Orm?uQ$-?&~FK z0Lfv`iPJLMrfqlm0N4>@%g%pLqGAbIahSB0@z(-?*f3KBqgZeK@y!yvdi6hD+*zPb3pqMqJ~BNE+H*XM8nu_%^Yaqthna?`t~jiWP&Wd|i1k}(ni zWUEkSuoX#G!MhhevIi%*x-`ndf#Kv^(1rpUvlpEKsGst%j^vre>z>U9lbtD6V?aIj zx6Ki2F3ZFG7gh^ww4o)>N$JZS0?Kb0o-e^fMv%bh2=>SMV+6%!Zj_x|E z;MsJ2y<8Z{zNqABrizUQK?=1ML4%$fdvXA29t9})ADP_56C0(iPctn07L?jwiLcY0Svn6tNewK-gAmrlLfe)eM zBed|ybd;A2@KP`rHG6KOHO!Yr^xv295~ukXzH+Ac4moueNd=0}SDF-;sRL<2RPT_I zxjhg!(z)XwWsy8$ew6)V>q_kjiux^ll+@jM( zp58mIKOPcq57vPvs0trPm|V?S#iI|8j*~V*19zm4$&w2?uPsndX{?+PG8`gSp0SG5 z=vckJj5p0pBlJgHmG~XFO)}jB%BhbBAukwn0vKFVLF1sT*=r?KXMq6#KpYfk9rHmI zX@dv6|Bf8Ol5^Y}KtOv4YwHZ@n@DF+rTbLh+h9Ii zv+1&IhBN7Gk+)ILMMK7Vo0u08qZIQ%FJLT}CZfrHZQ-e=IYF4`JP2I zz8@k1tckWmuq+5w!`Z3{P0f}6WrstjIR}i^9nXiFlkM-`I++W6xqvU*UnLIm&o^zo z8oV*&9{?RmyI>WZ9^jMn`BOVjx(^Bf1yZD{`|LN}Gso=-g_hSZpHCV_+Y#+A;5JHM z+0O>H_XrRNzpXWHPYyvzHz9Nb`h^CTPIBfbHv^(S z*wE-%lv^(H$?9Q1yu%r^X?ysU%{AN&-pFl<=4yYtS*N*~YPk86AU8JIP3C-t094FZcWV-o@%Ph}?rkX9JWt|e{>K4&F9b~p$!qAK%AwYJXdqgA zQ>#cs@S-RfFQj-FfU4xmXFZboY*k8sRqk}}mUV&LLVk5WXT}&(!#QebuY?Hu+0pIb zTe%x(m7tO0(9H+#rF9kTuKWfs!)0?>raiMbO%g$ry+bh~LMZVlLBh|CmObnVxa=9k zI;imy#5Q5*_`u@3*i~aTTPxCO2bqEQwHI z!<^ZVovJlq7p4>-7$`kP8NuRP^Bh`W8`^+iX@E^v|HBGN;B5#e6yg(_o+>q}+@hHc zcO=~O1^FDkNS`tC4jvZpnj})BQof+>5i2j>klLtY%b>S(*-F$f-FNAIgs^yP-)p%b z6igZ#D-ql-3Y%0og%~lUzNseK(t@lBqov1_K@Otqmars_HbYmx>nsA`3+=)%W_wd} zR1Rt)I);fMVdAMeaA_-*3%mkitDP@ophG`UlX;B+rg`l?%uCh{Mz1i@Ws5HZ5G!F( zv`k^!Y8PLqcYuVfbmfd(m090@+|A1dokb@CplE=c3ZW35b1+Dbdmj-9TSK69>Pe>+ zh#~>57-#}Mx>eso4Z_)br`&QDXYmqJJu)1(&VtwXSx-j6p8gpOD%^4)a#&bK%#7;q zLYIV!)=a`}=hF9*)2hd9+F2gf3ElGvzbNY=v{pAAmBQ+{+hM%{apiF>b=;%x{%a26 z%wn*k#7hTy#Zyk9aC^CH*o|3ALMZ-%d@e&xUUw&|jSD)j-HZo9-&dqfajK>t#NqI{ z0myz-Hg9$f3_&e6G8WRV!l?@^t8_!P)56p25J09;FEe~11^1F$Dq;mat!-dx&Q4aa zL^#Lr&A05`Y`4#%k(qY3uxR<`VG1Y#n_8PHHiJ*Zk8VFY=;$)0l3IOWuh=C-01Ow( zLVhnx5iUIjI7y7jfP+#qt1p@f#_uG9O1y7dFxWPFOK%UPI2kQ4ZyX=b61{aBR4$cu zVikE(xd0sB8S=4Ru2T^Ef2n*@Ok7wUCtolA*ROhadUCi+W`{MJa}2?u%7_SCnH`E2 zAJe)Inkm>2b`Jo?uGq_eInnwwWYw4r&9@?seG^i`qa60K7No;d80epoI*@I-NQJBX z4*`b}uL&cb4x!_E&6Lv=>o7Lmonnpj-@U%ZxUjixz1L*2d

`KRAUQy}~kjL4)!s z+^{-s3$OT=*eLZ9$az~7=u8tzzx6Xjx@7}0$dF*a6b)aI&Yi$5ocgr$(YQ*Gci3EooR#T?@L8K4P6toEq;m)hPsAERQRWq`MoF*LM zDnMTzp25a+aJ+AD~l$Ro!y(#jYO(ErYcZWPhT zN5U&s#}>RoaN&jYo}1oZ z6|fozM8AtgC8ehsQ4&?10(_yb(0OO0O_+-)bmVJ z!z5=U1a2?<@y|RX@w6X?`Ihek<@_O~JA-qid}nlqMRw!NIs|)w4b`h)H<9v_gLmLi4LPfHc)=#dw3h}_v`SUYj%sXl2Nohm zF8nK;J=4|tOMAT^aG_Iw>LX^7?yzb?b-b@R__G3F8|;=B6e((n$((80<)wFU8pr5R zB3m&Z1h{(CVizC~+vgT-gXSECW?bTO`d(ovCkNxQbedg|>5~HP-3TRsrEXfTK>kPq z3L0wbnsojVO(%9;J8^^K*Q_ilqY0VDvq@6jq)Ro5i4eV#VXPeUyR@dDV4IHfznSX*S zL-Q($&$&m0US)*8vSw~=e-sEZ(G&UqB;l#P+N9#I+n*ds5>DHXG8#}sq+PsUPftaV ziw{P7k%;k&UP9g%d$2ArLmixVkS$&siM`9zZ=9pV3aGR!XuWS7KjB6(K!z&|Wgz4bGf0bn0U|gm5l?GNAT9PNeM05VP~D=nP+pk zk)aNEG29l%VrQQPg_GE0aD#_rkbc(XKw_Sk?O+*Qz9@s^DZLr^=-uJ4L&qeA+;$v# zRb8}A@c7Qb?iX#&xuu3|{a!8`pW`_dchgdnOttFOno@tPsz`*Amv{3@r4_90p(YAB zG=ot7NyDSXP!)TzetfOT8k*seTVZrJj3Rk#u!|;-cXSDhM+hzwOni`0Dpd%n%fJUQ zE95c%>>vX6+|mg)FbSb8BIyCF6Tm+5rMt&8R$q8--#abl>yF`1>COv}E)559WvxH*@iLTe3?p29jVQl_&W4SaTSFV4PuA7RJHLxo>QyLLT; zNv14SE~h6V+?5OJX6b@2oabFGB?OzU!B9PY8hTKD`fv+Ai|jfJgH(tfI>w%8&xUS~ zbXj-pQ(iNV&!%C`>~1a*+Jgf8_!UJ0!If%Kb4FmH^5RH`Bd7Ir-q<^arKt+kQ4W8h z$ojYIA;DdF2VwIOYlve4q;=(m!Bi_*HU%Aic zlmq8Wa=pK!No)%kx`oQsxbEx8rE_>&FyvpGtb`=%Y@p3xfwYVvQsRmYzv|_a!dG zq5mn$bCBMu5^qn3#O3h*ZHvx?+DD+j!VM{V;8-cOOE&zbflxydy)Qb=Z&|BTZfA=V zy*_ZqniUrT&{+y9k`vfb)>dq6hJF3U;^&=y4;2m_I=_j+gyDp$}n>lQKMfTtQ zz8Vx@1W@jCKe=Cdp%%HgYEcT96*U9oRBkxCIQZyv2Mi@NGy+>BQTf(OO5n4>nS~D_3RHD1RK)T~{&X(Op;Cu~CsDpLSfEkZc1$=o|c& zCgaXRfi1ywY5m3<{D;(n@14)kaB!!;hk6%)^35=*dp_kk7LSiisyk?ch_hQRs2S$# zs=)WLoemPf$Y9jJF-Yv&rHc)i{g0Vime6(OkcBy9`4d_-s6Y=MB>EOrrCDm%hBXT* zs?e5hlXZ|0zKXZ*G}O_~vn(*yvcg06bJviQ!Uytx{iN({99zwG?H)%4d?}iRu?h}u z9A70=T+>=r(Lh`u_7dljomXeesnWCVQ{RWwDL5Ho`*Y(*Vl+f-Afy|ZZp#rW_aASl z6dA*sX2oV2rhO`24ub=cUz!D9-+!iXu9vhJ5b`=zL2IOXptHZbA8Q$WZx|@$L;OC$ zc-|fA5i(+wH*Uva$?T3%EE?k{z!I;ATsq(N)!op ziHrjzP+CuNZmCc$CPj|5@eG3*^)M=8YJt5$MH{{bMw~5&i$goR|4xyiGAqfTD-8Pc z!;_L`_`gYEwu0aB{?{QLxYoY_k}bh4hUnEDbb)^?CK1bGUzlxOQb*+Paw{C>-)u|O zCPU8@730VDsxOQ)#r*SX^#jIOaZ?xe-Ac`E zUc`MYJwGzU{T64*h)-ZkSltE0O`;vVbdc5L^Q7yQ({DOrK4~!=vRz}wTr(xqIZ^(+{Yx@XOrGikAWZ7asr@Cvc zHRmTcL#N*_Ce}gUQTTPqLvUGr)QGGYj?kAOQieA1X_P6he>}+_6|+pnq&a`}hjf}? zflMwOOq#xwLAl-WpXd{I?Mvb{q==oOo54tc1f(sB{6T?{2yZP!uSdcB8dGlyEoQD!i`6N zdklhrE%PM~mc|$Cx>NbL)hce{jgEpj(I&2Dj+gJtRsGeuD*Xd;=hj+zjzXOf;$d(li0(A|4>W>g8c<1pEDvS}tl z>+cszCj?B?@OI0;#L;_>M7g|V!z}%El_tr19sbBNENL4r0$21XyBhMd6eu?Z4+G)b@@cy5&RNcohpGq*eoZ*z< zu(kC;sh@wc)9yv0kC0#Dohgj)np)e)BHS&^Mod=E7Ax8tDec3_mx0ejos{TbvCRw}U*?Cu*>DDmbNy z&-<)HO&yZbtBr9|&xR}0r1VE+k1YHC9fLosR8czle5jfQ8-j!X+fYa;@Dv0_tXlLG z#ekMUp+tY+NisMa98NGls@<3f2tTy~uWTS>wFZu(TgaIxqu8lSnMkcA#)P;-iCk#( zW8=T04ZjThBk=VUGMhNdk+_jw75ck@rW`67HbBlufItGhX2}KpMVK)7SV@4Y{?y)t z3cmOnw?VAMwI>JkEEl!HKgS2@&NBJVb$U*s)_Yb`0<%Wn{9HQfXqd~un=M)qq5s04!5D<{xBQ%T#8 z;*9lEb^D3q+-fS5fH&08gEg)?F6uk^f0XhbAqqg7A2E>CE3%JkcKaLVbAiAt`Dg=P z43`Yy@&(z1;O>1ldicCG5~mR*oH-nf5U$~vFd`Yickm|a3R_fast5d0Wq zK=cZ%%w~3)7PQRbZOtL;% z7wMjp(Q*~z<8xiye6$gR!%(neh>WwppBcPl|7V6emu>K^p~X&C7oppb$Z;ZN4%RJP z4ArkL-+T|bCE`O=Bjv2Ih#PFwY`acQ{ zgpHVi*83;q&PI&alqslz|Fg)s{#$V3Fn*^m|5iEJU1hDPR7@CL%(<6gT~EFZ=Hc4e z@GjVj;dHdll+ddB__Q{oo6ezY%}QsEyy*R^G@6Ccs!M7j5EZUxKn`wM1#dX7zF95Q zU2%sIY|5sz2Q)B^(u{41NG|g$YSC&Pe02~-Bmbjl@fbu5#nzI(9_e}5^t1gS#h+9G z=yCN_#5lZ*nXC>IUo@NG$ml2JAWcqL2^9lm9nAu&fKY3yW=tqE!L1;&{#>J@J0ydz ztK6q+7sB`z- zDl{k39B<=jq8hzvBBF?SmSag$@aC*}%gwAsoOG*m8=@w1=HMvHZLugc?{&N_IHJ97 z$)D!4(8Mr?^Qgd!%QqiWYQ%f_y#W9V>Nn8@Zq@tYQBCOv?C>~QUVl-)xmhf&=x7~q zO->Y#=g`wYwyCri3Rm-T-{zf&aXaYfd-ESTWc@F(I}Tvo-1@QEqAw4(LY{Npwr<0@ zBxWWfdT7DPB*p7e+LOxfSqnJx$IIw8$b81 zdCd>=V@ZWn!(hZ29NgP1hqxxt_P8M$4Q>;C?h^a|jH$kYt>bMK@B5CbZo};@NQeUE zm0njf<|TQYUl6;X5VNf-(xjhktUn^eg&2#~$cHY?<(cEc6?z|ZzB~M99$b9lxr>Be ze3|kMb`}YIK%(+s_J9PJg8xiRiisE+2X|JQnz4M z#M7N#%U&N+-v81x^y>}hr{*qO=S)@;)Y=MCQb%{@ENMWQf}Ir_qCjM@^wN@vuDTc< zytSbrr>N_7NBXabv)b_s8EPRtPEKB%nZ}nKbit_)c33<+T)W_H3Pi+}(B|-VCx|KJ z0NeP#1g|uYnM@8rI}|>)q((z+fG$}3Q)8>_m7W^z;!Qi#k!g+oK!fW?i?({ig5I)J z+ugLo{bt@4R6`26JOtQiIhyR~g%_NNy^uC{ENCc?IA zQh5_Lp!SjH6YGPI%O1lOvuVE=$}?nujlBovqi?JJ3kQFO0PTPAl9hmg z9x8|R_qC0hq1&h_r@S9gF@VAXCRWFNpP?U0(*|#0Vi_(#fAbsk5)4lafuA3X+qF)l zB2r8qGsI0g)YACUqCfVZg3>#A>g$g2R-_RpA$rrPmL{6)H}?*PB#RwBCE;dx9JjrC zT3!TJH5)7a9*MJ>qf)C<=*gZj;*#GPh&lb=QwFYAJ!GkwU78$8Hx!-=e2H1ej}wiT zK$vXjm@_z+5a30i*b!*H#9Vb$DSr8z1BwoHLOZ+(;|kx@Bv->Jj+hDfOnDgG z9Sd2zLq0d$6E7c(RH&Ya>#{htV?dG@=0F`R2YXB2ZB;G_u?_5mEZ_y>L8JG&uk}dv z(alIHQyr^_D$RLiw%Q%iWkf!r;T0o_Tz*;Fjks1!8|*^;bN= zb^|bREM(9$EI`Ip7jhG@lF_mhvvELIzg797@V!Aldfx$Wym4fMIA@%LMJbz#8WR1{ zX%$*o4uiYU#4VC)25SaKPum%W)XBN+^!58JVe!qKz3OUQttZN{li2_VBN_z?&hcye zW_%3WA;_Bn?VKT(SX*8T?p&3n*`+hjnouBQIBg#4U}o=5r~I3@>hZ$;ho6D0tf-SQ zn(&_=OFSgu&r*D$qI9GQ&u%4Fl3_QJOohGICp)1oTCuregvS*)F9!eM`HZ(?tXd#? zQmte#i__$gy7~IVE?y~oQ5_J<^L{qw1Vgz7oK7q(57todBB$G!5Trb-{bC8mn8L0Z zNxP|9j0U)Rry$CyI{S2~@|E7(Zb0mX^n{|)I2>EtT3>NG$=rIUQshh=t{LoLS@{Q6dx-c_pPo`d zD+b#C%Nc3_O4c#8@YuK}KTn+5YJn=3O%IgcV~UVE5&=;98{3C9#Xvo%F*TZ`I8K9j zo!0~=LVqv~1j{6OPZJ0U)$vMK0A5xROS{U1!`+7R!x;d*1_H^d{=@S$;VB~fB~O)D zu$owZRVr>Oc&aK#u8s@qm12;=XJ`2!l*Ws=WsA}xdcIsCn>DP-LC(TAD=8A)kr#sN zFv$e27wyzc2fJ8Eq=dAxtFf(lO)(5>T8bSM8tlj8EMKr8){$CxS)8V{HIh#D+@r8{ zuf?P)0!bON4HVXSyb9qvK0|g%a>iEth~X9}@KIAI%GT350E!6XztPu~vAej_(464^ zT29_D=>)mzB6eHzGmPg6t^g^w0JF)kX)cpp2+_%R{y#TS3ypik@qi9J?(+A7s7fP4 z0ay4aW<1$`7!Gneq$^}p8nKF3T!q+{@+gPVOYt3*@!Af0d;uS;r(OJ8aPvzQ6Tni% z#=IC0c$+qk#YQH-!;}3F%(0#Nm4l2Bok4g*ZUp>dy-e#x)70ADT?; zK@6ADCHp$P)v}l#%=vXXQ;~GmQ`{;;A;ZkJ)GZ&NJ*pF8QLmSnX`sTsu3U^2*TeP3 zT1yF{B0Puf=)uA_XL{B-IWYDsgqFWc`uGJjam2*wVj%;W-=%+iBG^MRu8py1$}FOx zh$#Ff!JVM>Am3osi&X#*!rW3}VJ0tP+_IG~OU}R?2;*Zp21I$s0Fh4$sb+F)L zrOet&#!Cr;bbsddMy;S%8#9Dp-&dPn9Y=nV*Xr2zZY36j!T$iQ=4(-M&>U_H3X=I# z@ixj69cAX||9SOvk0)5(6+{T`Z3$r8L~3drG9CSzX|(bLe*=J0n)`~9 z7AvSa=3o97VO0PhIpK2X;W=vUkCjP`H#m*T7k`xK0CAPW`Irw$)krGL9P-pZ+N*go z*lt3RG8y~^PZrf!9h}`NJ2Eg3I8Xry;msy1=+SxWL1amfj`h1pCQ58EAgvh2{=|R# z(U%hNDxmyR1g*~P>lmg^T56%K2#)hk8EsA-hwV~vMOhxY(Yr^zU9`o6nI8^$hG=1J zTBzLR7d7DDZ$xe7mqQ70xt$$D$qemMuBH_KN1o=22uK(Te>E%~rmZ{%RW1dIbOoe4 z_!=z0=T4(PPdACiwRlA06uk+%(G@IYB&!UlOE3##-8K^ z0$gTMIS?9zEkn1FltUUu$4AT22 zHr__#RfeGz8Lk3@qJ)TzU8see>1id;xUl~4VYUr>TDrM->B+?Z zcY3+yjUpDFK37_k5?38DID@^iHV^pp}+XVb7`qoV5ry74?}J!eS7gzBKdvvrUyTH6wl*akV?I z^ujIlZ<46V0)p2br~D>Xp3ZoRiowWaYLZJ^{I$qR{q7evUi?Bl>sex5b?XA24^#lK zD5Kd&3TfMG8wlg+9ZB`T=I2mdS(YZTaWe}&q7r*}h3l#2eHM(+hZ(9ptc!HQZxH&e zB4b;E{PYe96k@8&iZl7~(|Y@ou-=WdtKpuBKs+;ce`1(wJar35>(jM&65ud(AQ)KA z%obAj;+WAih2?}4o707wE0K>WP8V|_p!PnNn^F~_?C^M#zpYs5(TxF?@%1)=V_+%+ zWMPiZJv9Oahp3`m-HIE=L{_Rdhm@jGh>tLsQi_Hf$yFX# z7s?E&%~2vU-$FOgf?K^yi6)bo_(@@1bD>Izvy=U?(UJ}L0Ac&6o%4cI%FkK#k?g3_-{(EJ5PJ8*;2sj*a)QA$gnl1T-6r*y zEBpRGD?!HSAFGTJcJdU#728?XPRn|<4+9-KV^pnsA9(Xtnahh4MmiC;4%Za9AXv!% zOA1~@&Qu2Ra~iy9(DK~;@@$7mJTiNctiHSdSO@-Q!- z`@~7THKNJ_{c@eSK!z@Z3oGuRt;}f14N*yO4p;)KZDO7elWmKy`_DH|S$xcPw`)*f%5oII5odHi4^LNUffMZn`pK z_sc9^t7UL0%R+g0v9r#1*|p`aoLZ(7eF9)xIs8Q&q*E3&q6Z6MU%S>O+ULu35C|5FVveyr zv37`I!6m02t-YYDQ+v{(8IbxV{vQM_{YC_T_1^B$A=H8pQBbdpzzkMmdaH=h|o z=@`oD>B254k3Gg3>D~^`lU-7&U8w9mW-TT$p~?=`?l$u|-ppc~upf?kCKblCmxbdh z;X2A@2xl4uxd0|lF+AdC9KR4WaeZB{(8z7bvDfD83!s{^?P(Iy3c3Id^#m<=pGkk6 z7e28Yb8m70H`O=bfUrO8CM5-?%)%+2u7h^;{W^yx+pZ3RWO#C2gmS_&p@-Op$&Ira zW{MJJ>pc{J{rtl0ibSCgD|KV@ZN5-hUoWYw3^d&Fd5JGE^x-AAC&ij@}6j!XO$l|8K4~TOl>*52Qgm*m)d!;$uE)ZrYZt;he31Uit)fdteHs z-o`b%`Cs>*;Y+?#&yloVhk8KS=EvB6*}p19)aWa&0bJIV);dzvTxMdwauFIsKlyxf z??+V~ak2%NGoxSdR|~{99}lmYR9WE957Gkvb}@J?eT!%v=fqi6Y% zQ3xL_GQ`yG28%`z%&zxQx}On>)#@47&#=om&*enG`vya-T`n9*CsxdaiYXMsp;Z|X zS4T3yLjaN;G%|ZPx(~U_w0Se1#o@pW-TV)OyZILst|1HUb}fo+=6t_v_{vA9$cVMM z11TPC?$Gl;M==Yf#G7a)b!@_PV(Tk}rOuVs<3{P5`S%rv#HtqmnS%kQ&V~U(Rjh}p zKee)#?%$X4v-=)K3&b#+@2!BTF6u|Kn?H z*m@9fhj|F;7Tp)xs=zC|>s|AL?Gb8eQaD6e4{6imogZl9Z@5Wz{6x2 z#kic|3?J%BvKxt$^<`gO*lU8{&$g$K!6XPR zdo_fu-*FMqC%#M@O9u-QrdR(G9Tf$UL4dv}z12a8jL+%g3ttjfmBGYEAiZm0qmg@d z(8&lL7nT4UM+(&Kx(Q?s;+rqc)uL3j;FC&0gu`%H$g%5Wu)w31`!>O!xMR-kM|dx- zljbsqO{?gYJ{M0&^{W#ahZeiGBR5%9jI2TpeNzbur&RS9J@#I<_)GiM;^rICWv;+yrG&s>gtTuLj;3Yy7UM3b^e=#T zZX8z(xc>JF!=7)wEPYu&d^J%B{zLbp5AD=JPmj*+6~)>4BvYaSExL8F1B^4YB?l zJbsg~v?G+D><2=VsCu;19~}T159R_uE4OzE2B$yE8_PNQ_^@iQ*9!AvQL|Q|4li9N zBb_4X&}?dGZBQ9Le;FD5o33tKG`=w-WiI|jNQTlTnziU!4Pe{}XX;_&ivuAtCg=&w z&havwX;l!GzzD1m$2UUlvjf?)%;kxUhrSJlOm{l}bOd#S3Cn%0Rx=>1jS|CvGNH)^ zA-(8GQmM2gOoKBUe_x!Zl>T^>JHJsTx5dmph83h+A9?6x_#Sx}wpION#7UO0XPLn> z!5$cco+@|LLsRcUu~dI^-GE>Q5H)Lo&HRzKYJ-YhWZ5XFYU)&- zLNWgs{Uvz~Q@d<`V>wa!9v}v&5%iQr+;DD~QA@``t$aEX1h-kkmwgAAet6Q-C`$$~){?`y<)82G6!YUva!{g{XG4}x|yLD<{M zV)!2A!bgxi4(iajYVhle&#WsTHUJusME?XhLM1?C*-1RF=w-kxqR12G)Myj!VS9EI zmP~-awaW|izN(A_OtWHHT=p1R$Q2-fe&im2wGnAB>v+ao1+EHIw>28**|lZ8sxPj+KgNT+L8nQ05fXQ z($p!L%X}dm2!^o6&l^!2TL#f__nZWl;f|c^F?5nrIw=X$OhXc+@*2x`Hyy?yJP9a| zen9|BGhN=j-GnnFih&(jIoPOF@~c94KhFY$usz5W(YUF;P6By7T4kqat0bGgXdF99 zOBx*OV5LDO-;LwnM-5&_=+2+_icC&2@9yv`O`5NWiC)k8+y?X+Xf)mu2pF23o4Z1^ zR+aWQbSsK=7r3w82g4aa!C9n}JOQ^N zrY!3>b`a#<|0*H27^G-$Ccgfg2AG-dr=1Xn+ZA&hL*7YigW_{NwN(gsz=+CsyP`%v zyEH(J+GJpkEq-psu7pW0eh*ZiFslJVE+SVuIHc} z+FtpRIju)$%s;$_8|&SGK%HpgOll+|919+!D2R)^2~# zaT)UjJN3UWCwBEsFq(uqcQ-(HQeE?t)%q5ISJ~35^W^Cnx-2BO!cH)TfhKApw}tub z?vLUt2w7YsVpOx(_dtsk4$^vg$LzZh{i_>F6UN7~?@;!|9J#)PMZWIg}czIHUCK3Tacqjhq~Si}AIdX5kq5 zKd}gOAv_)h4r>zi4Bn9#y1bom{7>_BvcXEpOXgE>N=3nOfGPbgA;0`9y4~NBRL1uE z1kR~9cYnPN5#^&Z@n^h=nl>MtSbd7GemIVmYdF!Y2Q4--3o6Y61t2E@rv$m8;#quC%Hv-HV+-Rp zRV(RBuXq&fn8Z~fC^){E58b6Fy992&A5a2|PfADo{66I6SKAd5T}{y^gXTc~RpW~M zLxf7Y)71YpMm74Q!@W1{+JMfHf4@pBJP@zK|5(Gj?YPy(^mn|ozzL_eCS0mV?rHfO zZj^T)4ghn6{fm?Ab#5owD@$uR8c@B=&{$Y5&ih~QB_moQX22CAC$SsYBXIupp@udF z4qG(+Pkf>~96$OLFR-=~)VU<+X*@^obqym@nC;%{+iv_s5x8B`mZ;naKsAjV#DtDT zRe@=ah+d3m`e`5A>}~Z#&}3fS6P7Tk?UQ#G+GxW%T71#q-IbB%AE?7oXVqGaqJ{?_ zYg2esxukHEsv3p;5rncs_4&5WTmk$cHRw4sXm2(&3Y6sFxCIIVOX(hP9i(D{UGH>x zRI4pZ@=q!kp*~6vT4Dn!A1~Awqv0;sywciXBTot4R`Q47T~Es}Q2cu5_u0X;d;z2h zedwO6{|USE&M;?TOhMke0df0y54(Tw!Zct9S{I!FEg))lHR!p`*&mGVAuFXei2Gz< zd6gWI;h)#nu#v|fOH!9f@X)&?2aIzmki()Z4F)`gT*Vy+F_~;&H+4BGj#3gUK@4F^ zJ<$u<6~`fkaQ6oVe+dz6!eyKt)XYr}&Sz)-ow)XDk-WFY;dsgq7S(v{<#Vkgqz!Xq z!!VH@)g};?f2${;-+H;rL?EffRK#!h_9O;5Soa|1O0)7Bch~(ygp6}XZw-)6+?~Hb z-Jk!Ciw0?6Bv5t2qteL_ZS?P_I(k;n2*8BkTnZaN@f~~ZU!!an;L1>YS(l0ctX$!0 z+~HO=IE1R(0<}hVpr3VRn=I2iBVO08_ zJWjbKrJIc>WiHOkSJRx2!-1|qt!r<}Efx!g7MBLmGcN%%U>RK%HlP`zm6>Lw^d2L( zn@wX3H4rcb7VNhTeAu2+(!CqAngSiKK4Ru_ObyY(_Z0vp`l%m_gl_9`X40t6}Q z71Ml&l}^~9W82HO<8K10n}lnqkY2kL`{v0P8nuITHV(usC*;mqOGh$qTj>mh;Eh8` z-!eA_>mu?6m&gNF(VQly5^SBk+-vC_^^V`>^~N%zW3|o?^$|1z1~WLwtK%Tk1bJ>G z&}{PfD+qb|(;(gffm0PAksq?&OF_v=5%|D%$oZK8|mSfVWB2;N^qz)>^!Htjk)rSS(Ptfjc+*@iZDq2r?RBMhH)it` z&u&xf`hG8nJ5mOmr~bqbdomveA8L^B&W*bGl&|8sl@!1fONgr(|+U#%vXf783K`Ww}( zS+8QZH4wO|e&XT?=;k0%hTQ{yw)&ZX$nOJXhKfUw&38DQZD=EM_```TsxIr

$P-1#_?zL+O>8xi0)5l8hawHcE0|;e1-(b{KaE zP=wA<91}>>SlcYo)54Q2g`*|)xSeU*=V=!5xK@x+jdkp`8o*Ki4bpSo$frvjdYhxO z|MU1fsULho_$5j@P`^?5A9(q*WeEK{rkuAM*X6z`sA&IQ8)K*Nh=>(#a7$2nPuX=g zWaEQ4+SfA+?ndE4fxbhyL+|O$@GgYh_1J-9fa$}wUTcHUk^^Ka9~jJe74%ZJCm}o zIvaAh!C8-0uU54g76=E@_QBY=ORgpSqwG!JL!`9%r&g0=#?FC3IP$9)gWZ?sUa}1@ z=(%t((^pH$(a!M7C}I~eu?xi-sh(N`XlHWCQiR&PP}AL7N4D?PwpR2N({y0A|4h9E zKV?ZAMg_D&Hb-z*neeHgk=K7mSB=BH(cXdqc28*sJ*E{8|6p_oh!P6s-vsUg*fZwB z;7T1_vy#d|bkRH`BFpOyc>*-UsH3xr1^m+DyMDtlOyfCde%reV7#4edawXy;fwwSD z)cuOBI!M2a(MexX)F$yv@)kT*PLtPv?@Eh{ z!P0I~IPCi&#@ldC{w?;*wljE0m(a;RTMm9!~?tc5V6IbUOSHE4-$Rb0=k=$b|&O8%w_Wb=#bH1x9<<{{=?exv_{E zg2qgUwbQv#wIt5hZ8}tfja8U3OH1ICE0B9u1Ca?LsE4tEx3m{wW4~Ggv98XLctsY= zuxr=Jxr60%VeB;!m=JC<4mCzY9)eI8ls}vG^GlGA?IBl^x?IK0TUEyxBj3?`O+7Ia zP&qOQLldp1oX)(~`h19FpGIxJi*(`$Yah01d5C2zqs?_B0d$L0w_=BuRm+w;&qSR7|2Du#t2 zy=|Tpz_acg>q>!9A2<}Jpds*9KT_Wd^f ziXh!@`sz2QI&WC||J4d&`|kDGU%*6*e;&&NyiZ44>)!!N74SPB*1{+(C4S&JFS@pQ zAwl(q60>}ZdbL#mq-m8yog)e=dbmp{*)t7r`Q~PqrdgW;9hAAly*8LHGq_~I+pTs4 z=PBY{cc)hd%Ql;K%$8!H0{RTQht2-ekuvZHv>bO_xxJbXo;`NUuIpA@g;b9p3>z_3r~tq=EBG6-J9tyGB4I=?W4sSKV*tF! zP+VQ~_T8}_eW2yTn$yIMYkx%+)~;s_(|Ocu$(o&=x2b-!tZuqylj}t#JYzt}Xa4{G$PdOZq}slwotC=v($+#Lpv;tqAPraDJAuCT)9@~0 zo*J}0H`d{I>*@?(c?%K*q#a=JY2-qLByWid8gbLQzlD@YLOD@B<(mEn!5;VwFdgsw zs^juTAfYY1a$n${KicPK4zLf6W9L|0HT{7OY~X9*gtysms*QdHKow`7?w;{>;uhHG z>ylKwaB(^so?-run4A5%EfdlFq<#yvR3%Z#49K>0VSpU`2cVn_gBC!_K<&u=Wy~2( zHfyZx@V^b|wu`IdVv4znmTL_eBW?JbTZeQ*1V-a#>i}<_{i(%I^a=0bb563%tQ6)L z$56YG)gRFWQl2yBu=RkM4y9*HyV$;YAa`4`g&NBGw>u47+Y-bk-oK1?O zpq+$3_LD*7&EQ`Tr>?!nZT9$;@mM+tzcjcjB`gYSFRmh*fD3hFyI)rg&}5A>nN940 zh%0u+o{pqkRz<|DmA7>e&I0FQfpR_`H)s;_7zW|Xdd3y0_xNkc3Q)rA-i1_ z<5Q0;|E8(aP<=NZ0*~nlzq@2|te_h(t*A389Xy@JS8fv{&ILjwCSDeC6*5pSy4+#! zMR_fG#+~lb6)hea8Vb`T4Q|Rew$!eO=^+FkGsQ<@%94?Mf0^P5h#E^L5pAn?h6Iwr z5*ygp#fa&VEXphq^2C$`cGu&Rdd&fm!u#k48G z7 zxOid0hzWyPL6+IOBfwy$z>Pm1RG4)IY$44!W#kdA=>DnU7|W8l8eiT*UJ!4M8LMS- z9y-rq>uPE{tOA`1CJk@TV+}@ZyHd){?Xkd~G+*Rmb+@m^9fahpH@{(W_y}&Z(uQ@yxpJ~`{=a@<# zuxJrGj8>aeJFALnwc%(ES`#r{e1?0lkb^zXv1@hitg7@B_A$W{Vyh7#68E$xT$e|t z#inNh5AGu4LE{rqq-tdS%ZFY%ocOq?I5L(So!n5=k^bsh3|Hbk`xc|BdNL&^s#UuB zAjbXDZ?Vk+MGQGu*qhN}vZ*>a3B(eqSN-Zpv0j?kQQ}`)XnT49-~mH`FcMvnv{O`UyJng3}=1zwFOcjq`5^gp&LtuWNvgjSv{J28^@Rq zbz8|D5sS!5XZ<$}xb-wyy619geT(0qL3k9Rj9Y_MF)W=G3k181_P(+fvq(pPiax^y zS|`pYL<_>GtOcq2pc=1g&DaXwVmy)j1@2v$RiOJ|5B`K@qh6mJmx!ANatNtG}j zJ!RVE_PDxDgOm+Ee5&>U=BW3}iTHiEUC^nb8PcZ}-R*&-EN4vLevR0Vu00wdEBS;s zC2al16}_H=|Cq7>-K-$ho1d)c9i$$`4XYg{=1-=^LeKphAAY^nJ?1@i7c-)??h3B| zME~DNBY|oig#?(^r@`H~qQ}`LT}kRkWX`npfcl1IaFSxlJ)DUy)Y`x-#51L{>yg;& z+w44G3B=qc_rCSte85-s?Lq_-a~3j^y9)(Pf&lGJjpfcSz=LHe@ZXGz7>&Cg5MAmb zSYPN$F*_=><)IBBe+d&ZoMj&iqG6gv!hnl6XP%uZh*JCRR)JYS(sJ|8+8647bzgba z^m9ekkM3$fpIIg^Ijv3YJ^6A2@)h_d;l~a(+u3_+3Y#8yEO4EZYTMlnKtQ1=mCe&=_K*v4 z2S!j000sa600#g700E-o*xiS9t&i#~cnO(zAv2TO)f&U3OZnw9}=|EOtLkLyPns7A%=H_CQn!(Su55@(AD zyz5wqxu&QA^gE*s{f}HdC%y6xn+~K85IvKD8bhlpqDCR70&RRR`jD*mpaRXOv@z$3 z94!Fs6+4l$sN(_o6$z>}W>P421?pqz~Fjj$95u>P{O$GWW0R~|AD(((F z-WG$CMN8*!Fe6U2<#l>BkLPBeP;twbirsa`f=%u-RT9#_>rbKOOD!*-TWEEH*{N9^n1E zJwP(NRFX}q-j?-wp3o%MpQ1Fv`$gU&LXCU*CnsWNgJ*S=0C*L(wmsb?dv0MMj5>-1b9|>3DNp$Mjre`A?y3yr4)OW-l!Wy1 zum_?JB-d4Q3TtIjW-+aQP^EgR-17K!2LTmZ^_gajW_m--T+qz#S_^JNxYe;UuTZ~0hBtFX>Ky_ z_-0By&W=vJy$QX5kdYn-g|=v^HV!<_&5U)S?jtXG5~@MNra>kh6%E4A$vYtlUAfsM zEDotBkUI}x#a!tZHm)1!}giEk_ThlU9$|dj>eHw(3g^(&zcZ| zQAyZxJb2yTzsTUJ>l2np=>{Lva9dES_K$!JdTLVLHR8dju43)nCJ`?Q$&R+NOgMAJG1}43mOxi6{B^oM`M64siUg)QZWaj1 z-+05g1YgGo_R}@6`mg)LKZM+?eg{o24Oy293<#S-#@!g29!kgQHg*c*kxl#VISjJN z_YQ3hoQhr!tu4_L?9SMIJvK`TJHL{XLPbU~gp^fF%JRX+&L;ZgEFfrts=HP->-XK1 zCDp7Qqhy{I#D)U~lN*-D5s}}5xe+Za!0Tp9pJ7&+p@1~VGYMb`jji0eHM`cw8mD;z zQUt?R(QBnhTASX}RH5QmWKv@ZM$;zNK!IhG2uWhSm>$qcmpMU%3QtHtaP@jgK^~Rv z42MI`;g>`TG0fC9M=Ad@*EL4dvIB6b$a#&Lr~U-1=!p*m+sDj+mw_vkW-VUmy|eng zTgH5CKzllmp)p#Xb)&I=?JMWhpr{C7(HDho9lhhR{i~E}?Q__c$EfWgz<-@EAxB-N zh*qL|I|0k<$!>rp>2xk`7u8nG5 zb|9zBJdLG(Pah(S_}Uc#A#$Cb5}eqk^))(0ewCA5@ZVe+o~MKRylv1{~tPi zGZLH`yrVE^pCs*L+hLj(0Az4e49Vq_Y6?q0S7)vK`6u5l-3E+ygNGFF}r(5ouqWS@{DrI{~3R4XB5yRBrLpi z(7$`S!~I*>v6yw8X6{RbtdC!i_Cr+O-y92tm)G_;Q!)a}f;k}m^rd=y3B`0EKw zRF(S#nqNtK;wc?bq2wMpJ_ykWdlr@<@V^rOXzm5@u~lrY9uwd=Eb?^qM-@3?n840s ztr?20@p;v?n*S@$c`4%wvoTL?O(Lz=kuNz{Z(p1JgOLC9mqZt=5%W{BMzWnospyMc z+QeNDV^mz_QBVD4^ArhFqhHIGzeST@!w57eof9;&d#%V9`mgaNz_?-ky$QfI3>n2E zL)>bv-A%;SH!@r7$D2Z_Y|o%<)G}E?Pa-aE`Bwua-&$SbU>oHvIhaIcp|YN|Fzp8{ z!Yeqt#vdq)&={o;Zv6}E)m9{f`^D;HXpe~kB6Oe##v*rzBOU?!fC1;@GC}Bd@wmOtLm>S<2(>7Y*OA&j+@*6Qo7$#3H z^gKS+yJJcNBj4X_Yahemb!-|aP^@xXWi2B1+YJyJu}21Hj9to|@_MoS7=io*-?t@jJ77 zWh8@z3n5?{{-u|v@d$ra9uKArItkXTJ1QW;cyS8RUhDmk)#4f}@(PQ68;B13?8_A^ z+niHFRazb(&!+Lo8oSA9frHPnWWbEK)vMrd%FYAO98UlciJI{dAOjg4h?H%_@;uB9 z$UC9p4G6U%bd3KJ!0;D02{qxJ6Cg+Wt_3r`((2s&t<|1PDj$Dh_FF>$W-2myzhAk@XSIPH7X>6(>=jry>dYRUXk$2b{%d_I-Mk28~gq#zxd zZwX$|(tc7{>u@wU1c5YT=^A)Iv4w`&v!ZoQ39lgMeHf8=isE8-IgT>$CGyvN)kZea z>1=GBYpXJj{W7E=98$Wu5@6=?+74Q&fXM!4al6Hn3#((qWfTT$SQ_&wATH9F4uMc$ zF>3A|(_tuhtr*K+Z8n5H>`j4Xxa(>uups)G`XGVoqjQ&)9u#5htxeWyM_*$`7q6%v z$ckc*e;^>KMk^cWw(XSS<6t=PmWmuPA4sc!mdj(eCs^fRwFfL9kfiL53D?4bYuj#4 z%tr&zbZ{vcapu-TmBze-N}bM%ApV>y2Bdr^@n=w;ueIbD9lZAH&9(@6Si^RsJkPw} z7a#_JLZKluwTKw2AhFoGF-@!;=g-YQF37?hpJti$7d1=mP2`JR{ucpe+=GogiGbw^eLVDMpOgQBUG?lXVO>|Cg`O z=aF@Q?|FxA0+S#BIlA@MoD)Tr{K40VWHH}U8Cw-QNFC==&A5yTH5-JlIPFSoEZqYkpgGGg@AahM90%~+KIX*hQfVbJ`iIntLfzxg#Cc))Z z!F(QnCm`~pjE)n5XmA~VAhg4rpFo_A1`ajtCp5;4gcB~a_`?**uKTfG)n z#;t^w$2>R7x02J|kp&=U#9$mQpqIfz4$Im@Yaj*kDa z@y#%L7b}Q*ed}y+TVt}B+Y)Z|Km`OKd$pWMNoxGSQXh2}o>Xqv<%|SB#m9nOnfWI? zvILqcAXIcFHV&313u@i}H{N;#jv}F7MHK!5Vzm-ji*ISqn%y9kq&W6DT@qPoLJ}yjO}K5{3K6u@%aXUzD+uScX^1EwaX1#32pYU5K5Z2|G%Z zAWh4*`F+#oRcI_F`v-U)!`_B(wW*Ef9J!1H|IR3=t038l$aHUKfHLKe&E`2jnM>$K zfNe!nvST$ToeId=b)Fz22A&7h$|3QD8}aR15OL5`dOSoAJ4LPz*vtu@21F4c1zlvu z#$1n&`>aC^oV25seF1G{+wdKh7N#KOEiY#YYQPFZ z{G=+R7N_QwTF-T)H3512bwLAH`V252%-r{;^nGEXR{*qniWRRSMPFNjNg)^R zVb*XQAYh+Vp&$o^-~XeJmp$`751zP47Y*h0;-V}|)jfI)o*>tbt$9Ig*ta4kuWaVD z(`v39JVl!g7QqHkUeL7pq8A{rb_-nP&&9Dvs?|3fc`3C$1#glg;(hq+CYkZs7n-3U zv}8Q$OOloU)b3qHZLHA?L=^% zS&uK*LX$GlqkzmWd5&(HWsc6atV^9a`1%nb;)3at6njbb)ML>yg2qsP$#YI$C-d!F zmH72=R?pK=EbOh>**stVeZoWFAdJ{7?nGk|0z?(aqjRx>11V z@#H58MH+UpVZZ}+=HP62EOI_sO^6`g5uFM8w0}U={u;y<@z~?CvoT=vh!D60H%sep zj0YiA};5zPf2 zia5fBorqUQoOuI>;843{CLof>FpKZw7=hnXnQ=MA?@Vu7tO_8-O0Vd-uSq6pSRx=A z=gpsApL(?e^2I~W2Im0c2SGq0(6kXxxzkIPkwq^c_z|QnD8i)2n*Jxj-5&!zo!npv zt*rm}qpO$I6%Vi&AT4ArftiOhkWui@Y>hUjn#b20ticS8vwzmRW!X%{3Lq%t1qkLZ|C1nQ!?Um=kjo>MyP0#M`u=Ai!9c#J@Syd>liY ztqwb*>baa|oEdi!`kRavb zUI_B9Hk70Q4JveF`lAYr1X4M}2iH=zeEL|Q`JEslJ9mbQ4j$rN{Cvmh0Vg+lGX%ZK z0}BWRLbX~sgdPqcN*@sGv2~%+EHHOcKm#vud)u1JP%U4Bc6B#Nieu)h3x{2F`SPoqC~ei0V1NE+Cd9WStH4>TG}D=uC}&Pkb>oh~YijSk~=t zDY70l|Aru~NTw8N#;NAk=r-aJU{`X3mI8`JcW34n=Om`#5r?QCN@BO&RuCWHpp+GV zTtlrktP|)vSZ_i}GhR+QhJzZ7ARB5+eK!(LB#Mt_(YfHt8~}yw-O!CRve!>4f)b49 z3Lr=gaSj^0yfARqF8TXu_bd2vJiKq^D2X7VSerKCFfJe`f@#6`!u;n=2(hXTV}>7g zy1mC>yVn{a7kx0-uuhU7-q-C~|HWovZJI>yeT*=W`A{eZ%_1N5B4-wVbXR8@ARnet zLvX0EhzAUnE9V5V!9N)dxR#U#QaM5{26wn%oFLYbdUjfq?`xZR1u2+T((lpSY0EUb+o2SwcY%6I+(QXlzlcAnzA9c?S^F+)Fdb5kw5Iy?`W@7WRWBMkKMu zK9&!?oFMrDECgf+i6(7133Jw%!C9!YYi@S*$l*&)!A4x;TBRW2+E`TP(DzsfUV6{1 zjhO?Fyzts4gu)px@w5u-m_Q03W*f-kveKb;>ybs1Gu1eBAJeVyfZ^A5TzCEQO65wh zAjhkmMPDRVsAo2?%(h~J?T7@(&;PZMe!1Jm-C0+BnIQP|rxWz;*~{H)r@j;s%S{$U z(twDVoni8s5a(aHvR)LSY+d}tf5Q{6| ziAA7I;6AiUmLN4ds5&Q238~?F5tjb#Nxa-#*!sk|eUip!_Xapay$v9cz)}C`&#%Df zL3?g^;$`6xHwZEQo&&gx-u#fpoM(?9`kyb_w(4$*4qI>Dw19w1Uy(Pz+sWZcdXs?| zMZ+16AaqZMG^z9ItUd%5d5&;AxW?!Ko zIwRmW9`R3weTt0`PbGO*ihaz5pf5b=p06_6M(NikAg6xfd~iV(UtZ8ITxS6>`WDxO z1cs!-KoK+D5n~$003e0Zd&vd)vfH|%4YdJ-8Ai!^yHnDqd~A|6%b)8s9|dWc_qLTF_BvqdDefN?@Ro!oT-f6+9NmN9Y^_(c0ko4J8k0ANedwH~6Ybs#D z(O*7q0u!wo^0^8}U4`aoI04SOH6bAHS)2BiE=kBZ7ygQ$!veM~D5pYD6Iv3aw&#I| za_|=*MIs@MHXFt)bm+GV`Ty!0oEzhd)+_`+>a+G(=Y9_`Am~)(oOzG)7jB?+{3!_0 zw?A8~y^*#D{YoZpUx|fJ4feTC7%3i122xEUb$YbV>O`BSCV0SlzGR1)xB_Qcdwwt9`O z>d;Q*5;meBlHW$X#I&URYTM=%AT_Z;XuN~j!6AEEX&f`<%ei}nAe*2@3h|c;{<}`2 zi*2{SG-{1~o^px!VmQ=6Nan;gXMEw!UJm68ZZewcIhmUx{Y*2X(xm*_!1W%Rz;c~w7O z#59GfJzAcpw6*}qJ{lQ~APWbhjsX1`6DQ20S8av;l?PYBLUN`I@}C`$Y8QIciy&p9 zNWAT~Oto(*Q!Wbp(<)`zQd>S|&U$51T}-4GT?-(m`hip{NJBidgstoV{$Jo>JLn#m z;A{zPZue<)~PsXudWe%>nQdzayjeTfqn_ z#T`Lts01L5$r}r}+jkbD_bb%77{B)c>^eNIM+e?7w1UA6AT+EXj&($H)I*I7pANb` zsNt3J?G3hFrO28%tw9LHEUka7AOL8hum3Y(Z(zpB#?ojz+cjDF8&j!0GuVN>2KmmO zqade(e4Y*=B~5tPD&K%nQ=F70%*w2=2zg=GI_5suQ0@;ut8#~d z(T5J8nIOC$Gb#zDb1vG*o`Te@llfrQ?W)8yX!jX*tf_jHK@A|ezvPQ>OpdJ}`D8#Z zA`|>q^+;hcpqf|wGLU`kU5J(NY zuzu3RDSC}gJ;e0fR%?{EdNhuLGLiuxLc~7#kg-Ckq0+`4^qJp))SpV&<3bkq$~5l- z;{XGtAmmKpnpl2A6%oc!utLVJH9NO|We7(85QSOH-c+#uBOoZg)2`-H$X=jt632F} zd7xsX1NHaJT7Vv;S~}Tp9uXiIlWNkidclVrPs-@oZe7ZDhiLQv`yI3IyeCFl<@=8y zZUY#fYL8AMb%vF~*aqYe_cwUM5#vrMtqJ{{WR=ftUqM6~@4nX*2OwL+FnO7|v8@Y| z@5izP^aq&X012?PwJ@}I!y@)ujTRu7iNpz7<1QOhG>lz}3D!fd{eg!99%Gc$^u5=T zj=O~*>$IS`sm$ssne)K%TV+a3-^sdW0&|O+p`Ls_6zmCxAYEnOh`l=<>cwhxjrl*A zM=(EFzvMpPXg$&SzhFzshae3`X=dA*_bNCIOsOazqAW31?)L^e_JK#c0Z)vW4WA%L zGD*BMGBUho*gOppc?rS~$FCAu*R0fBRU&}?R+9oCeTyvv6AT+=oGR$qDOXRZs7`N2 zkz%F};)ZYzMFU2KAb+jT#6#O|cd8X(XYs}|>J6=WcG$~2Q!9{ja>jmRCLrAeA68RA z3{^WU9^Gz}bg1l6rS303#f$EztUSa#lO-T?g3+^G28?d)xy%e_Jcm@xF$lFvCs(xAgRknnZ9IhQ?jNISI^@ejknTy(R~|!N=N!ZfoHS|k|4IP znk|HNhAnx*(D%8OQwf|m$N%ZH0C8N)(E$(h_ah)O!{)WLFw@sX`OO;|>*yMkhww=> z4RucRY)kK1D_bxiy2Jd<_8^tJwOB0oq^w0;LJvx`jIQR@Ln-4`vM-wzAnN2x^T_4A zKP$JVJtA&2fOT1^eVb^)sC(I&K~Pm1Dj@#%O{}uIH!vpT>iPU5r>!x+T~uKE!{x>c z7f>{|R-YgvFbFrzLVXqhAbAG46joM?ASA+ix!FI)u86476YlOiCIIKbLXYPvc}puh5C};B z6d#{xKH)t)V6+jtpAsMrmAZ>zNCAXWKOYGF(D@&x z88TbN&1e*R)7gUWkU*RuydWWISQ)P~V)UTOxRGF9tc9;eSJBfo=|y^IT;&3YAje+7 zXB7ZcB_qx|(c1Wc4dtX*3>d{8x?X|(HhYBKq96bc8EcFXpS&!`^Vgg4yN*Uc@@^hw z23Ma`#kST>^c5iP6+)-;vKXFe_ZH%vtM9Qm`AUm0O8I*2`7tDpfJ)aj<2YK%FE@ESD=5kj? zTJqY8Dj*|a&Iq%$Pt8Sc*V4fb7ilthf9txkB`nA~!;tU6L9ZYKR@N)qp;}zmYYlI! z3#P4vq0qfEg_-#gY_S0D(>NlIyJ_6H1CX9Vu(nzhg)Ph zY8+*kZD7G|gIW=VJs(Vz1Qe4u(5E;K1v{Z0AP#Nmqv7dH{IZzV4clC9*m%GfPJp$k zp{tvba}i$_8z9w5NVmo6vVe?jSi;xYC&L7}3dK5lwf5CyCqbnO7LOp=1NJSw5FB6_ z_#eLl+Z7Z7BF|MT zg&Umm>eLiXdmyr!(qMd$>D<0D>Kjf6HWAgN|t5@TuCyv(>?z=!+yg@T4G zBlW^7<6H0_N%}d7j3E6NL`1^v`QI>MOroVByt0vtD+o~0NZTckE*ru1ah)LCC|tKJ ztoIRPt93e*-&2-ezMV2p@rc2+ed{JXrAit zh9|A&21F7WAVjL4e$_b04c176=i$^*W?r`aZhL&`m#zKRo)(J*n;>um3#kv8V;@fO z^p_$)&x6IimI?NP&1w0EIix-*N}C`jXk;w|mifj*1>g0wSs8p-O&B(OI}mUR{SMV9 zvOAL?@e7^78De6vTu{26zHCEn&|+*nowbwH=h9s>f3fh7AhD;o_qzuf_t=Z3eCSeV zyncm9tN@L*EfEq7eK$RW9p&LlnW!ME zNabl`v*=$_T;`J4tTFKsBbAumvARIN1+n;Uf@sm;P_)ujew0vTop#a7)Ja`Dn@6GimfqB>?OaD4i=iOXvN3hE20=cfR_}=f1DjONLg{1V1`@}m zE07`3>QfOQaC0b{P|G^@h6deDYP+A`!)WVob%(NS`bWR3C>kCtAch24c@RB~szY}+BSIbV$Ov*YmD znF}B|%h%hB$I2di)V&&ckayN!c#nVrh?MggpAL;A@MoJKh<39}o((nU<6>q=H}L)4 z`h1QgrBTwWvs}vqgPU@dAgiRx26uON3$7s$B)Ge~yF+k&ad&su0Kql5OYq7$n}khksrY6%MF= za*EbnE2N|?9PZ&q%YUo{7whE0{Fq_OIF2zT%?tow-T%Gr`b{P;U%_h;noRu3$viLP z4#GDYs-bs+|MwFdP*hX)U7|bth1jjsvBC)kdz&b}29{kGdW(~s&129+2&8!GmPUkv zUyMj?30IzA$I5pcafO075G5)ZL(mNWL<6*<(h%qq-0Vh-JKMFNjNV)j}qeV(DQz87&yB34)D{<5iBr9 z1Mukn=ug98Rvdp#HTI2VywGhgYWHxxROF@%cQvp-FT5RRc#DkXn;-@<9ZV^iFx4%* z>`K7)iB|W%&c}|z?qmWKe6z0OEErv=q0rDaB7Ktuf0 zgfoqKFKFz!EPn0Pjqr@Pyn-}{?gjXG+=dAO-oxM#Cw-i>f2F$6xC{=|!qX@5q0ev(*D;Z}@})x3X9UYi^vga@t?wzCuuWEJCww&aLa!<2ZJ*U7SbJ`=L%&8WWza{= zu_o1b^k%F_5_Kj7TP!2%vAtw~wR4Gt>HNIQ$Gk4^IxFbkDb0u@NmPJ`3R9b`c;^ih z8lWy19~8SvAD|bL2XAL$6NU{?0m**oei4g z&NxvKM^2^!9Iv86cKwz(UBJEwkOv+ap?L>SYovGc)bQ?IXbt zzXs>pyse!)46qy`OX1ir-yHiwP+e%D|z_%)eVt0vAF0KRur__{&>Urjr3O4_4^E0G61=p}sWlb5*_B(M% zzmV1eZtY)>NK|2cil5Twb?DqMg3X`?1d>F9uRk~?*wXmZfDQIES^*s;k4`K|^@tZz zUBUj*91E>Ushtl_DB^>}M1WY(3E%0A6?Nv2q?kfr0Tp`pf|}CJaOk1T%&Dxdw+b-v z8h^RRasT3ZvCn@;8jvGuaBAk=hlnN)#yM5wUseQo1`5S%4;QV<*=F1Ca1)vZ(ru8j z?XL$v?*5vdEdxgclzE$r99dj98gAm1?j$YB`i%b+ZbSZPDy-naQBOc;2J#5sAuajB z5j*XPxczQ!+AvP25ygvNE%Z20afm3bB7g$ZkQIL8jwMYEPQRJX)LY%Fde}}~L+H=> zwMoPEY*Z?MC2ABZKH-HOO41|;56hLZ{6UC(Ak~ZM^g~{j;I9A#V9wAYn-?hOF$0Ss z7&2ZRG?vmch;*|umqG-9(fh3;<~WRa6V!amseYEVv$4B&2^m%Lvv~-%B^x+1pdCOi z#s_zbbe!pV(p#TARwn(1;s%EDB2O-t9WMF+4}5R6;-;`5+K#9N>HRFC-T$h^iRHTw zgWzE@V?sf`SOI)8*OVxQ6J`6Xc#ZceF}T3?Hv(c&`f&!s6MxHLm_-82GDWxN<+V&d z8u*=!I`A5vLJian0|N-)g42{T&MldNe~t)dTyRSkxpr1PfKV94(S_a&qh5{5SvFs< z*pfIcaI0BCaeB?WovMeF%y51e2j!`W9kcE<@XQzQ!}JN`0@_p$a7^{hX5y16hXxyJ z6GH=Xz3v&T45JQ12SruEl7WW1=x6qkKedC~Y^e?c829NcZ&vm(0k^n^Y5s*014RIs zm~Y^uBlMA;GizKuQ|P~oshI`52M(*(o*VD8Q3MR2g!CGgjwpbXd@5RR9Al0L{~5LA zGvBz<1aKH5yNc0(oTN+|>2u2Yg5CRndH4@h+9OA&SsjsKl92-m=ab1afD{R`gk&Os z+KB6&Dq?PL%ZZdZV9swJejB4P?!T~71Uy~`M-))cygmizU|7$*xyuY!?|3Ax2&Q%t zJZ?Bk(*jK!f|S1v_t-5IgNBC-%_+`D|c#?s=Bmxj^raQOg2Fcax zb`6;V+Pi%sqs@6O1?GKQ^>aC3DUL0;$hiK}*c!vq%U#Z~ulw1gf{_?{PF>0{j&EN-vck4l{a&bD5cjn+VO{}(Z^0FkffSLM7vFvlDn^Tu8>frU_u3=1w=_sc>M4%^~#B_ ztLE?rf%~*@AsXCszZj0nG3ca{3t6SJ{c8 z8Cyv#$cX_RI#||`c>%cugZvB*LPO?uNTMkr*M)25efZu6gwbN)YMn!zfKYM?Q^Kf( ziCNSqwe95np#4=)G=C8Lw6re{u+pM|(v0huuT2PwyeMUAjwoa$)s$}j{h_Y?(C*Om z6OeHTFZhhsULr3AA#`l+!=RiceJJ8pP~2^QgrMAIqXIJ9)1*fb&i5OXk^Q(nOFR?d zza2x7hAdo%zPSb!LPY~^-aEV0d$>|I&q!*EV5!9%PlYZ9v28St(p-rlZD*qdh5y0fH^UyNQCIRMnGyi2`{I=z- zClB}yi3KJ+e@}mjCIU>=G^J)&U{M0E9aw^H{2Ki@%Huz!SOVP5DdkshxhXDj(O#!1 zq56@4%4C&A&7<|`i4Ox&lUgbA)8!R%fVsEa5K2aYl zhuC>%FA$=ZcDh0Yz*&Ybp6c*#h54Ukcuc)8yJnq;X#fb7%=4EcBH2NwAehyQ^mBWj)E-nZy3LvF zm++wiqYQwFcGM~F!@cKF;J8@zl8_l4OFgE_Db&f~y;Y)h#J&Is67^j(P zHxBop@W8S8IlLIED1K{zb#q7pXy9VOcFTTY4_wZ*PbtzKFcfe1)Sg!~`1Xsq9&&sj z5a^$QQoB6Fa3CZLtkTV{#@@Oe;oR=CzPuGF!y?RDPX;ViH^8Co(`i{x=fRM?B+XE= zxZw-%27c{5Qc?2WngjxB5X@6&e>sYjAwjIfp$H;FqL3}3aP&1gtqbZe#q9I|nZ&Kj zyr*7yz2=dFXC9}b>yc4hXU@cNG%J>NJ10vVpft8X6@gQvCh>y;=}A`22oGbe>+&xJ zVdUb!rPc*YtK0 z0oH^%qc5Y?fA+SsxFKeXlS*Yb8NmSd=RbvCSG!L7>H5AM^>&?|BsFQ6Nn7=ffPd8xDW`T`;I9$(4MFbX z>5*-jL(FIriCfCjY`(h+f@CRLMea{8JmqWI-W;P3^%7~M9fY>e?eUA(V$U)J@TbCVWV4!J9~n>6IU;SDE4L3f7rZWYUxYfL6Vn6T4b> zJ9*jVx+fzfpF;gw^SF9G<@*P9*(Cj{2xv-pCT9j0B4uFlToF&SnL4fnKc=mIcDa=_ zE}dT@CkKjzC?Q?Z@Lcs?VhAjLW%DWQTfUG#~)UBA{|zhA`B%5HXM^`ALTv$`j)%z!4@2uCM4qGz27WA z(J0u>y7R#C=;S`EQsS*$DO=z}#~CQLpUh$gD|)1TuX1 zE?-K0p``-C{lX95rvgSVEI^~_=kLHR?Y#X7|KJRsN?d~Ft9pta&^!WfA_olSSs>79 zcvX?0P+=3}gq%u9$+fA{*wMvSlftUg%ZMA$ES3Z0NrR#2-~2hknoz%yKvZ3y#ZE>Y zxggESvg{|w&P&VyQoqNJal4GJbvH+KIqaV~G?+A281k<;;8{IC*&0(jEjNV5q>9qVjQ6nT^d{VQ}Smb8xSAFC-Y zNb1ZfECB>}!{QVg1?CKEz}k8aH6^D|FH*7S9Z%eZgnR?Kcsp%em`oRK<;Kl!ArS0GnuQD(`4-jXXA|sgbDWbjkkU zo`yK)#wCrX(G>*vCoIhSPn|E=-8}Xnw5^_8n!X_Mq>R603E@9UwUE&B*c5Oeo9>GV z+&ts}7xw+H4nkPKg5cWU&QMoyPa0&}lLdngS)IzzBu(%;=8fL-J@8NR+82$?3^!PD z-}hjWql`@mQJ@x=;c`fRMylP8$=2Z;w1^8|Z)xvA__45l<5~^8TnvE2lF$|yF-KA3 z$*^jEu2`r3p-hOqY9B`TcMGxJ-6RsQ-IySzA;KU^Y-F$JJ< zdRaV~u92?C*ks;_)@H)mHR~d<`z3Dq@BLx4tqnL}JbHUW++fxDMrQMTeS>Fe&B;Lr zc_45H_;oYL!JQ-njGd2^>p!2kcEyyjoNm;9&Wwkn(t1%TykjswANnsx11>asF6#H8 zMcNng9mdQt{lAjL;7aba8LW6+kb%ksd;Jn>E0-`!=%zZOMl(DL9ex7~=9@hz zsaWDk=5m0I1HH5!`s8(gAt<`nDTEyLHa+_9FGUYZJ2^;hJ2qT^x1GS_M0!tsBnwl{ zrzW60N~lqCyr|6rRA+gwYw8&fIO^LKnbNvB0zsj=@1U?5=z$B4QDqK=)Uk;419S%n zVDi`rvYMKb-Og$yBL4^ZTtr_TQs_zZc*pw_^-H=8Cb0Xs4#@*|gj~PkizWEe?&)#_ zUC!sZwT2lMs%Hf*hZv|KY#nF_G)_|A*DVbjy)8Pp6A#|S3kKF+QgsmqlB|NR#1o% z(Mr?ze8GtzdL)beyg1OK&)adap#bYZze3Dk%k5no{$EJQiTyY5tgw)sczD>Zv)4Tx z6EXpF0U9TL$axU~qK2<=Io(6(vKjVZnKq{g$Py~CtY@LX1Q*vTe+xqIJo{Xz5$uvR zzv$c0R~_`Q#TD2{go;xp;E$-Xo#H0rpikuYrvRn4LHbH8)E0evx0-dFGc+;3Sm2dB zE!OG-`Yc4mZ_*oMX{o{^E(O%(J8PeF{q#rh^M7!yG!c%;Ju{>PNxZRzlU2)*+BA5- z5~Ck!NS{$HvtR+MxH1rrDR>M^PFDtug@Ym+2h)3Cd6Gzhcx@i=q4xON&ph7* z?~(p1znFg7WAS@=iLn1AOSW&{d)`|h5b%ow=@nj4z}6ZZP2%F96x^=Py7m>+Db20~ zD#ucW2jY=Ql6q6PxHDw#Y|K=29sF|3|A=(gqXa5>xTXFWAOraQZw}FR@GxQN49AYn zB>NC})n*b`>@5)p?YcE3(eVH;ub9w5RsA36EVzd^w=|nz(~i7X{ik1K;_5C0)b25X zeMS(tVd@&p9M;tPC%upevQ(P8jC(&@T$-$_2pesCL`Og-7($u&bK>~AVdxuUy zU?GXrlK}qg)Ug#n2s}w0R%CTbxmd30Ixd4vxLKBmLHB%2!f%GRdMhxaK?9qtb?)^H zvsVpxJU!q&54xtI3SSwA{R7h)%G(Ov+sOed=SD&AKyNjN`j#_Y(j+)kmT^Andlgp^ zl&u}r8N(pJSl%H_FdWx{TcTVDNm8-^XVNK@SuetP`e59wG<)d z0|B;)dus0Yyc6DMm@W#H zCyO)5xxx(kL?m6hRd&Vw z?0>m4vAlYJtpoBY{PTvOemMg{cAjBGn#D^K$lS zs-W7YB^D_}5#sNwK1ytnO8wNaCOfNuQ^-hFIUdm1mM^;kiY6``bTLWY`Q%1T2ePnPdbv*D^yQYs2a?i^?b#7$bZ6~b7r8~} z#p%V{PgA#}{u;FPAqUI-W(F{9i5CnGt?aORlneh+y~bWt#bnI=>7`#E{hPAp7YqVw z9$&Q36S^YQzR4AG5>QCC?`hZh6OOFXfBl*AkT((p5U)NeVuWP}M%$?ADFqf0J73{= z<6I@)+_xBs|Eh2X128x5Rr`-i0(;!y(ejZL-}%Z4J0%R3BfU2c6zYXonSg@i$r@+k ztTTrZ4g)7KHRayJ>Tyx%O_rk6f7c;Pq9FhZQlS+W{CayU!^kfP0?Qv12zC{3jMEl3gI%U?76sRCFrmze1=-jWM4Br;YYof@9ko1=Wk*_to zk}E^Lc{!z(+--o}5sr85*d;W!<6rX>i)123M95DX$p5->Dlzq-JQb>|+iovL583YR zZtiYJ;Vb^wT_9l;o`YZ+Lb=9nH9OpI(({WgCKqmQ7$W~TXos%H^{jN-zYKt1H$h70_TKM1GU zZ{8;W)U!^h$FsV4Epq6R%|sV7#)$jI^h^zDw(wk$U~0l+qbVJL6iud-n#=}J%qmZm zo<+he` z6!AibRU#JKHcEP@B;ww&7vMyJMDL;6b%AfJq%sWZXwxJj%7?FotliL?sr+sDN2_~+ zzWTj4MBcu(Rq@?Gh5R%pfBMah&)~ZnDK0xC!Ha46X5AG)Ox%cwPqWM%iX@b>cj(G3FKhC$&9`oHldM?0iZ~ANv$a?||4;-X%Ws)*;Z64G$2U})M34*WPx-1e z5Drc!Sg(=Y1u>F;&|HJW(VaaT<=^FSMrleHQ(%oqk$99 zo1qLn31U2ujAqvyG{(L$kPk*>C4Mx_md5I>sTQ6KYIa3u7CYdXxyN977#zGm12AR@ zr>_>+AM?CNng}CBvzQrY{!t)`i@>c7-z7mH0eM1#H?*|S+Ke6Tww|g_qKNi8` zi2ru_O@3%5VqlV%Z9T6q?I$GG-Sy_Ro8rS3EbaAS_MP|RjSwl&s4wMe7=d|yBWVQ% zkpOxZ{zzZV$hBNn{h>vw{=JSp{Dq)EmxI!QuX(_eTH){$nSn9v5{3*n(X8aAE9@)Lq zknrhXi|msuTJl`Xu(~#@h871m;e}gOZ2*E?z*lXjbbE*(>CKB+Gd|?68AinS$6>{s zuD=t`$s9~Dl^Ea-Y>5@DiO9#DnmngOtu}+zUp+|gQm;&#XYSA;QpESV*{9!gxZ~1={b#)Wp!y7dr(!eKGB5hDx9iQLJ5MJYx(o-`+)!mmg>z zultI6?_(ryq2TTu2Lplp+WsVyun=@l&%s>hJ^n{$6Xwp6}N=0KD}tMdlqD7!sQ!U}}UdcrcmKqR#O76JUyoU2EH zS@9R&ObR3d`)@tNEN|Kop0IA}fadCVF~yvB3qR^5hd+S(dvlbP6qc^#V`4S%sUr#TIX>xa8@SSoW*`-ZPxIbG%YNd2!#fjMg9;h9F7j=!cSiL$G+a)ZYd?P7A?08dr5Z zL4yG_vD;8fQ4CD%^Gn^c)VoIE?T*aybvBcpyyzTY!7)(mB6;vctfSXR@dvExw0m(m zArRDD{TL}4l~QAR`tmsDwe%6Wg7tVJ&4@%7bSWWH6#1EAYVJ7uU3yL8Pb=8@ZbX*> zgvbzctoW{j+88YUwA-#d2l2Yy)Z-~p_JQQch1>02%IZg__R-Qfj{%-{^gjTl5Hh@K z{hl!REPv=(r4)O=zNZ)FtwMcIee*?dgr-Z3^I%N#+SC0cCm{xIvo-D^3do;wsEJ>x zw{n+apXWbda23uDxR0bXly)ImNd;(#;+&(tG$~}hEJ$&Zk|}0#Cy5ogNcdotZYW{| zVT6$SL`Ev%sVoYF`E#pv^G%+5YsEecbE~}f%cn2~dN;d>vT9-Y#`_P+AQNtUL>LGa zIVDZ~4A5U}`T$@y9yee8(1iP<1}8EzL1|uXv?DJIZ{50t5%^!f$Oh5m$r`5r-pUek zJn(-UZ8wNg&+V}EP%ISuHp;6T*Lp)3=jEImEvzHKI7rK+UtS6eDvUU1yo@(8}h+x`*(_2-&W879@TLXcE-RsXFRJ1pTt zk_{q*sId2HV*8}7oOcTh)}3_SvX?zc?6OA6_QzIu%K7_2)Ynbtcd0pI+`D#)rFzVD z^WYw($jo=|=8`jErjr86Y&{Ew1!5tibM7WE#ASYGRRmKuC`ZM$(SpafA?jhvw*uev zs$4;*kmp9yQ?+Gr8d}1Kk5h9-P|GN#u~5#ijib%%Bq8)X7MDArp8Mep#vc~jTUN`K z=lp>iHJqHcN1<5Pmof0fXRI|OJNE6MzXM|dRZcp_v7)*)19mU5d~L5e+O`9~c&^78 z8|Z0bD$z7;&1DqH3CpryMWwW7)(4s7&EtuMdYfJd(h2QG?Gz8ZseUYdyWd*S;{Ww! zRfiakxCe%(T&FgYx`l0AtUZIsqkp^$93BC@X-!r}014tU!-<4EXi%A%hCDc%L?bi+ z-OTE5*IpXsIW*D192w@F0g%8Cr)%|%I``t;G|++CG6ciy$={sP7$){&6ztd;Pp#PF zO|jh<{#m=8t~$fDgYI-Lf3^Hc;OKBi307vZv@`=+_@lHQv(nKE26?2BJ<7<>DX*Sc zzA8H?80qI7k^lNkEy(8#oV@GJyw6=%oStDo_W2|Eh96yOT7~r&7WKs1uFTgF>P{{! z2DJ55CX>!Q1vf-_TRu0BCp{;GDtAe|!MFimxVFm;Hu?KS{PtG+60Mg|$5z7Ps6*Za zjfDs68qI}enq*lXF&WW~NbD7OFN0CrS-PkSe2E_djDwV~>|dXZNOYVNkz+N{=(Gq+ z;>o@9SjZOxEq~Mic%O~tE#DVzA%Ue6AK4>&SN!Ws*G!Q(frVLGlI0 zO50S>I6N}V!g@WpD}unNGuiJNu`i2~so{H%c0{^Qrz*RJ`|0%#`MnF%ws>?cp|7Ql z3Iqz6qw^12m25^-V)Ji;<5By?fQ=pf5VhZ98y2Zf^r^NM-(o7Ib8t{rPp_>|QAdTZ zqAQhWK8832=|#NTW0Zo=JH0i)^$1rCW)RLlI?^WIlFv)sOO)Lt8`bS52&rj0q)c@o z%+QWzes1nmAz6>al6E!%f%9plbVy87GdY(gKvp?UN|~V)aNgwe%ipVZN<_l47Ly%f z(-`M@)ul11=p8*8mXDA$?#8^RBD4r+3c~32O<^2=z9YcKA&^#RZL1lukd~QPu&vO2GpRmjELyY!wG!LKN?389t@I+;7_a z@U<>DHBX`kM&rRQAm0hAKo#^t0eO~If*%18Arxk^{S>B_Xnpi-!3r;$L?L5;Em*p>+7x=c#iol5Wb^hfo&Yj)9 zi!`CRtr@A?rn87Y86{S~aN}W|{I^`wG%KIZtqe%aO1sPf1<}~WO*I(Ac9z$<7mA#_ z74GsA53$+zl=So>LyHOAsRkn4oG$`=AZ%#jT6mbrtB%XG0~c8{@)s}NLMCpA=mEa!Izy(C1b z6aIVglqo^3s(UqNF`;nlpd}YIEes-eG}aXw8!kK&`W)JyKq1NOP~YoWtFAM~IcKsu zUyUFAQ0q~0EVE?UKBFAY<$@Wi0W&f0{if+V$cbp6Y~|Zvbc|HV%5um`zDHYWtz8_K zUj#p#j*X3w(20k4xHWuLTJyKkK)X(#R4y$|LjFe}7%qYq8FeSw#W1>Y*9Gxg)*KEO ze`iw05p3=(WZN8+!MA%DXJo^=Tv2GAu@lhG-oND_O^|LY$&d&#_IBH>+?2m|juKYF z3Ot>cUc^nk6(V148(2Cx46!E@acs*5)g<3Ghe}pb!t*U)~#p*w7}1duBa4_vm84k^*kUo4^N zl!|4}!MU^9;1&?{C05uK1k1iOH}So;Q1f5;L#I0hpc}K zAaF%KLMUnXe&tU#Ju*|2ln8%b#qT<$YjMxmszNtDvE9magvAkodyb+mr+?t!CtdxT z!ne0f_ec?CONIKN#701zsT8<@01s8sw)U_VjJYSAAg}Rtm?ASkFLh31D77K|=C5@} zObrhFUt9dI)r+tpB-QCKC|DzKF(Z{ZkYxj?3XG^ zFmT}iIz#?nfBt_j|DOW?De%84@BwpiX}-i@-{b3D%~hxIbr_QBizb3tqULXoH>XNA zv==al7cc-G86Fl2?UQ}}iPf~FxmB~z-nuDkGg>`(&4u1$|iWvKz_5WUn6@=__R;+k3>@jOO~NA zZfNjUh=y-`siHsSri@z2sXyzmjC_^SiR(MC>fJ)**0gUY`vty4NrXSkzetHiQYSs< z>T(@AW+5H;Q&NC!(+9}o2aPO=uu|VUCUSHKSGB$&O>;fKX_I+SA?(06*k1u9_meXY zq3~=4?{AZkzGgZ#o8%R#BOqf2rpdE_i<*g|H~l@NO$I2a(G4hpDjS|?(=$0f{3lDP zTxKmETzq?Kv2dZVFlsjtS#3{v@N(Ua8>GBw>a4B{*X&CTX+A%7h2<%nE#kmLG}BL1 zc=F-fFwfZ!3lr^@fcW{A@^SAXANb0lE--mJR7{_p^l0DMz`dgPlRjIwSZPj#=^GPk rTWnm*GVD)hrpP%5JyZQnj};rp<&_cx2yS%w@g6mMxaV61H0u8Wrt5Wf literal 173902 zcmeFae|*)|eLw!bH@|L@n-D@06O51|r8kyRN>gRd+0-(}EVay1#~h=4ETzsl%Pd%C z9Ze~-%raz_QHqqN5vg;OGUpic<1DkxGRG`+%sNLcbB;MnDRtB_@2m0qd_G_2-1|;) zv(MxEKhf9W{d~P%=bYDho!{sE<0i$V1^*}Uug-8akR+L^VzLaERaOn0sRCm-`RN<_ z%YYyL>MZB#*{GhUdN#>qizn)#RAWfn8N(+$`WqwSw|V?bG3keThjmgtlVmc(vwu<{ zyKYynW&R!3L*?2eQ$Vbw-KM*+P+SQ?QfCFnrL<>KU1{ekr9Hc(&gdQ17uAbbuqbsl z*A+tMS5VB%i}SM(w_Cr9kt>RC^C(U-4VhNrF1wnzHObTz&(Hx~c1>W^78Ay=vTMnx zNix$D!~?#L7#X}pxXZ2&5vIaWh;JaAnq)2x;-x_>_jcKh0ao=Ww-o{ARtnx6VEusL ztpPS{7Q8LM#zDc`1I+Ieyd%J-gMw=VY(6TuF2D&V1n&y4<&5Cn0ZuH!YIHXe-Wk#@4`SFZMfQdth`F7dm5SU|djK=8U1h=q#>u#_quADh@c~p}?42-0Y0K zfpKAR&>0U0Mt5=Vp8>`V>{!V`?!l^hjpb2vFUA=v5g!sHBKmvs|1 z!dXCoJpop?2u=?$(<4|2uxhs8%m8!!>btW7tY0WNJHXauQtk_I(n`U(0k#bYUJ+pX zX2JddI|c>k1$eg#k`JA-E{O3(p8H4zNL8E7M^&kb$8@15%YO zA%y)6(9TrZ(f}JBE(;Ljcao{I8v$`q3xuY$fBuOnLxZ@d9px^0bf8Z22RPQmVsDL{?{ z*E(!q!$vt#W*OJe1DLgSgt$P<0Isw3z_?(SK|wcA3UQ`*h|OlmHip=R9(KANCEVM? zDEB!oWP0IMCedV@J^hAc6;kc8dqe!z*?`@)1rQfGOL~Iw+oXV=g+Ca--C=z&en*HN zjNeI^GJX&k(Sq^2D3$RW-S`JX>}Y(%(Rkss@q0Y|h6HmPjNcpL*Sqoi0KtdnlVJQK zQc#Pc@%tU-g7F7J^kDp>gel`611=kXkWv}H$c;Y~Vn^d6j>Zd@jnCO(Pro5Sd(RBn zQ!)NDuepeOr+Li@m*WrF(=kF%riN7=F*2-9l3K@%P(ZUvlAX@LfSQ2@Y|f6*K%G1g zl0bwWR#BBb6S9y;>g*UGJy1+~Anvf|D5ejFXWN)=)@8?IY*t6XUJ%ss0$#Nfg!LF5 zxmJPrMHkmIZ8W%-T->Uxs_bP+QJIux?G?gQ-JAl3pk&z@%4ONvvtuk+R6;dDibQJ<=)v<3`$AS4+pYQXZ$q8;9gk5EZ7$I$qP#f({15KGGbdul5?Zm!irHQMjTBPPMau(ybw%G zYsf@TBAPg4H^(e4aW6#Ndx?8NIGu$UY73XR7t$Ka!jnK2m$(;hWfp7;TjYh6gz2`h zii}cQND>>>Bi4*EG2&>VaN0yM3uT0`6kdYv#D4BkrB!juuWkS`5|Y9CvhDLyq<&;OIGYbd^07&7lF^ zcErsoZ5ONTXt1HN2MTrej4PCuy3bOK_LwQo<8rgxo-d_HjL$XQ|p z4dn7bND}3dy&cxTEKp_gR?hN-O>{t~JD`P(X2`SdfQWmu?f~Jm1KL7_7FdW9brLpa zSRS5ecN4+^P40lz)QC<_PO z!Ubf|!dka5;@(=fP&jSj!VsYatr8Y4A}m|Dm@sYO5;AC^B}qT(l{PLFuWaLuiUfPU zDH~T1%Eskx4Q{1y+RBX~LJNjwSh<<7Y~>chw3XY) zpp`$P0c^Bx>2~qUmhMzUT6!7Xm$M-`OoezZwEgYr_ zwwJJM=fi|)JNJ`OvNPe}rCL8Ae%a2)6p?m*!tFdr2JPG@I}Z`k&StkW;@)PrQ#fts z;SiyPzA4xd!m^!53Db5SBcp6*QXTAkR{XM^&nqJB{D#~40vWV(mF#?xkal7Ypg$wV zoB;jJj?;FY3=vvzOaeP!AuQW@nlNqWt7N3?OpptE(OL1!cAis2+WAAb)5xHmxW9#Z zM*-c=R<|?a-d49$n08KpBRE}DhX~D_aSK*U*ocziFH>bXLR?Mcs-w{w2q%ES$)d)Z z1tBPEZHuFnpq|Ijo5@=nVI#`f1N9;6B;?GSMS0-Eh%u6DG7+Y2nCo;#C&olhCK&s9 zXpz={6%T|Y5CQIDX}W^}jZnvmWlGEu6CQJnI8I-}=^VvqOif>D4dv)baJFKO9X5?w zpsqB1t+wfenCx{L00md`e_5Y1B#-r3uuF)`^X)7_rsf7m91Rvu8!Se8zD;Y$U{9iK z@Em3l4aNydIY%|@h>;_r-{*4Xh}Mc?;65rMpj4PH`-QJ?-0Zl^`k5d+z)=~?ovQ*2 z%bj_IXy=W?n_t(FQE6`o^(vcBF}hjP@P^_T@oHN@F$~FLp~a)hYl+dokRLM3+Crrc z%;gR;zfN-KJ6t3&GIw}AA^O3D*--AV#Q~}&afg-=tKIByk6V(m6dh%W#PHEkL@wA; zhdJKsLcduSBIiy3;)V<$E^ublpU{UZ90wob9t_o?(9C{QWw#LKl1$6+vN2gB_DYY< z1uk5+Dkx8^U?;?DD5lGXH;#P*0JmQh8jTc6qhxd43DYVf^Ac5)Qs)|!=c-q(HxFpt87O|pmDf=tW&CN zkYZG3{;;gsMaYdPrg)g*bcWv!sI$i$H+q#<*+E9o&Ula&S7nFD;DN#L{ISn7RM}yQ(FPhT z+?Ipyk3fv=m+ewV}!^n^nzyt%wx(#CwYz#39I6OpLg8k-J;Hp14A*~ zJv>3F9+XI`mH10!AaSLJ-A#a@yT43`<`(+YD}<<((5Frjs!tspQ-|>KX^Bw~cF2OA zahOYb0ITfP5INT`=~+T-%aV7)EbMa}HYRTetTGcseGHGy2@^?DgUBdDEOQnZsh0MU zwUpDL#l>|>uYn9%o>a0tFEL`Ak!{TmbG)~Wg0wiS4`W5E!&Z$I1#5FSNr#FB>u}h{ zd+LbW=}>pv0Vg}`khulxc6dR!J3GZ;XR=IjdmMI!JN?rfPUav4e@+)nGC7^qpdrj4 z1Fa@ADS<-P3XU87A($GwgqS@XlPi2U%f);+0P0OPo464zvWPi$GI-2Vtj7G0TD*b`B;Lgwy6j3qJcZMN_5tZtL3)87HdWcxfzjy? zigepGU?ApXY)j~D#JQF#lfmi-Y`5!Np|A{Et8Ed5U1&5ta05!Xn0OMVXHFRCS4)V? zQ`^!2)e{P~j4%gp{20mwTkfzmjI1{~oUD-*L%bk-IovX)J)uLdq!_NFU*Ou?2pi~_ zZFFsw-A)E9?E=I)XANO{+0zk6PYahlowYj|0Y^p10}148EwMbmh8e83bz;C3+J}I} z^(ZpFi+mW?PPIn6n~;XFgJ*3MVUlT!L(68z?cU9@cCX`l&$h$15OqwALoH+EawkL>@KKJby+)xp# z?GSlLqM4nBwVt`yo)ixwgF3>+_7pLf$y!NO*%4y43eEyGc9amE8ruavRdI|ENOgxt zodgqa12y(sRL(&;XUC)RHr2xmglyTttr17J3a9Jg#TX$BIuXaNAY69qYCFjYBfRu7 zIZY^?=1&~ag(TZi92}vYB4p_>ouYJS2xIBm?NvZF(H%1XEQP6N6me`u!fEr*#R#Fi z5y$chGlDmx)n<$^!u(-zP(AE4=(5>bx1pXhde&+QQ++h&xZdkBYYmRW(9mId;&LBt zb}^Pl%h1X&OW+V|L?3MhrUQnLj9KTQU$sfQT%Qrg@(HIM(itO!`iwZ%r!XVH%P8M! z>t=)z4w*tu9`&iguF85slA%7Q5wbqn0Gn(EA?x!Vl%mQCg6JX;qVg|^%B=jH&5Fv? zA;leU!c=RGIF?R0UAn#)Ax@D2$I?m82(eGkrNW5PT`msJj5$f7x~~jLgwpjBvUEL= zHrYHvmX3F=YV7JL?T0jH*F-4~1F+p9Gk6D%<&Se-Xuf+a>#!(wu2fX#4r1`{k{YJzp>6YMU#Nf3J9;nw+{67C(I zJ!-P>(+26&I4n=F+8Fc*jmV()JAT@b)sPP?nw~ zviuga#0E2DInGjL4aKN4Dq|A9gHUsL9Vgm$TMGuOkHKmipcq{>ADYxUVYC7D&HHVA zkjEw!acok;ERT2h8r#4KY~TIJt;seLvH@YEhXunXKxRI?ag=w!?6S>N#(I*Qm1MxS z5KcmK9}W+2m3I6{5hLd|PrJ0b+3vV>`mn<>_mxV1Co!hg%o)MK0COhY?rS7$8sqLnk6X9)+lRn01h_T>d8l4COx*U?~5S0fzD) z4ltDesQ^Ryj|3RX|8#(%{6_-}<$or?Q2t{9hVnlfU?~4{0hY@DJQ=9}LZTubkMatq z5E!CfkQn-`HaxZMFcyShXl4Qr=5`-9gAKzH!EJvJ2>>{>B zoWt{q0FCrr5NtPE$mbSw3Dl~rP3b_bAF#nX2`6D4Q)F6@cL(_tAPh}YT#jrOaeIkp z;K*nVgAecw>4T&BZO975n7iTzHe#QhH@log_r+M1%?uHE?=|x_n?(p&#WS4CY)%w& zpv>B(gi}yFncHM@l^A?B72Xtzax;1|$U zAiSPJ3>@_=U7y_`h|HK4GFwW_iC{P^6H9|FV)xlHitBN&foa1z%ZZVgo078?j`PVP zsORh^!U-q{1~qKPZV@b3T*R^Bgy|bh9EebFD;a_N-**Dm*eXF}=QlR;w#Mbn$#lqP z*_|c%3C6$71|q|&a=oihK>G5H=<|0;QG)Y9C(4?YNkbTx##fNX( zpa#7TV!X+hAEh^0e3X)N6qd5x#1qHr^@tC>iPXa^LyV&n@1pHC0~i85E`~!^O6xM+ zXjfqN*(JmmWok1Q0i(aoBF6c9Gk5RRHixhsYkxLM`1Vp^7%}Fy3VmB`ms1XtW5cEo*1i( z`pVgD2;#Ae56|vy%3*E&IN5Dfd}OEL?=ss&j3Hs1?CuTX{5YlC^8d(gtKuU&tt~FI zZN!`fE0=CZ5RVvVOAK48mejH${ZHTxDC)ZjFVIFhb?#`~Z2ZX#F&D) zt`-o+b(Lqf92IzTr$W=m+Mt2rj!YMBW8tsbnu+UyxhKaqsFk<@Qf^thtb?!ggsf&c4o5#7Hk%mZpR&r@92b}FG4u&1x_^VJywt^w+7DOR+#pqz z^x5TvXcO*}Zo3i~Hnx_X+)oWGYg;Qj`6`O>`oHf#s_kmxdf?#XYg|4lDfZFcF1wbD zvYW4ye#y;?2vcsp-f_vzi;2r_zQM)rW=w*Dq3B(=C>zz^)d-RROY*q9fiO zVD=zjhpi!mL)b(iy@L=}8vASPPD0G_jYYhB$c{Qd21k8I2Fan1*l6<`1MH@0n8^r{T62Y}$FOy85RW%;ZlRn*_c#;hR>jAnNE2tZZF3x^ z4m`+0ta*Oy4hr33C&d`<+!;+aNQ|N-Z-?=is9aoH0PYrs>nbe(q5oji*F=@IJ;bR6 z;9ke21>nQNaNRfyz(*)AEdcMg{lux+CE_@{2$yGE)qUytm>q$VM!tj}~ zx7YAya7=1U+hiPjMPhWkGlHia=E7qtrya(}RL(eTO%6)=Rfq90m9q}p!qMhy4&!4g z=N!hzR9<%&A5$@h@iCQQhw(9$1UHItc;Sz!;Ee=_7xF9-Lq)Y9=A!u2N-Y`ajdA&t zbKK;Ii@2ZZ7;80*1?XRS$Bn*V*k#ScY`{H!z8P^m-xOv8Mk7QD-PVc-NQv9kelRct zcQA=km+iJr*Jy{vG-~9mn;M9dpckSLQv@-CUJvPjO;ddJ;ju5$Vr4X)a%Arhg>wUp zv@pXK$Vb!1yo0|+n@QXRD+d9qY&IcuwKBTj<`AZOYQ(Xp3bUYiJO=Ueb}1ut0-gZu zvdcsKu#CAfz#;a zpzc**HyYrD-ZRz&Sh{s_2N~soouT1li?fqB)wCmyOR;56Y!_8R@-hubTB{iVFB2|8tozSc{8CO z+4k99!pX>(KEbl&;StfQ!DF-m+plOyF3h2b#R&Lg6UOF`asVAmuC_-*GGQCS{sgsx zJw|>G}0VnQ2!iemVvs|WHf zdpf|-o1Y2rLgbDy?pcq_MZm##^E4tBK+@-3syjUW;8fcSjNXNHMObmYNX+xYWe{I% zCkac74&2)!=ChkWhIp5qBJ?3xx9%gx5Dcf*x}4RA#)sZM=nOrkk3pLaLNS5{O#NC& z5)pdn=&YS)7OC;zjN=PsFyyZ~E)7p-9hZiu*BqCIr*ptaSZ?Vsqm-3a?DqDXG%CB& z<|Qkf#LY{!i{sh3TWRo2k(TR)sYzR(&lLYo4wUG*&JdXBric;tL;)kj5?uXqV(`G zdf4SsLt76$Y~&8T-L8b3xz0m?R}!d=;)RXrJi=64xY}`PZkX@5v@yMgxV$l4;Nnu< zUMpOx+l4Mh-SU+&l=!+RM~Ps}BElTJ$+lmx#e|L6?)Lz;+Y&$;uJ4AyKT8!Es~h!d zJOiWHa0z4M^iyKg6cCOOR}f+xyTIKt<|N`~%F)rZUg)x00}P%1Hb9wJYGtdaF#buz z?G#T&zvnwn7zOSiPMt)oCFVEu{3K!>VY!vvCGF74vbKQ`rm2ad9<`7@SLd&OKEL!TQbS83yICUm+)a8?s z<;V|jArO|U`#EWss{47uRCOPBT&nIDh|AS|!o~4KDP7Ya5w%yE?i zY2IPIHe3a3cBpSpL5lZSku)}2T&5JP)gkv*9P8QylT2^r=j@Ir zJ8ty7Teo!sL$ML_+%#w;IqRVY4}WI^cG+}7KBCnRhz*d(51-A#k)vbkBbg4HNgTTi zP8_4U#F%^><6Bo$&)FQujbWG8Cm0%8yIl$hwL-si=TgY!^IXL3vMUH-m>wm=Zb(rf z4>?`sxD_oLvAb*@F&ivv0G}5PFvqmJY<__HbQ``k8enUWqzeL^#2UcCV}NpLl`RY~ zyA09}yN%De1dV$AgM)FR^E9;A==k%hS+h7L;5Wm^~lQ@?6{wQUXYePM+{LXA6~ z?d0oGtR;wt71++8=$n&%S40mT6dyXpV^r+2U1T5wv`YHoK|-Y3Sj3YNd|Pl27{K8L zIehIT=uatL!5iv%dxVS@7+hS$MJ~2UA&I8p=f+eH#+pYd#`M-a{PY+x@_QU&<)8E* zwQhUDvA=_fZ;KpqJV7t)!9haaesg<>-w{;~F^+9{9jkAYyyKSRt%SeQF1^DHrnnG`g||6V`jBUv%IWz7E-5+EtCk!OIVimv z%Mr727WI|DKFgC)+W%**SqeCJ4$Zek@}#scsAfUnpw`F_`-0JrFSL2OytxUV4OxfM z<+#Mdza1s)ryBP;W;cR!5M#(D#|Yv5jELhC{=$ra(kQ}|U{TB=;+TUlBh-fo(_(~> zL&Px$VMahbDu)@2z>^t#u!LoZxOX_bVO_4wYVM{bX96$@yXl?In1ETjw+5pZT4`DX zc{~u3L_5|68AzVaQjB_LiRV~Y%Cv^E^d#vP&vH)85`zLA8!@U*r4mkOAqJkw%0NR|q&1X< zCxI+fcU5+2$f9}p+?X*8C(Lsxz6gWEH{kX@yMhpd0Y(J;Raw6txAY`wDGNcO#a~Qyf509}0nJonmnex&Z6rK?kR)(tGh-2*vr)yUXKF1YnH?0Ai9tcU6Yj-8H zz{t@!rj4QmO}2_+y8rF+|LsA0LJwfp)(~PkjFo+-wBgWc5ckO+RfZzEy3DQqG{Q)sH(6z&b;ahk$bh>>ck zDQu^@n!-!y6=(`O$tX94A;MHs*d<(U3K7SqAk3Pn4^81gMnG9&Q+Oz(KVDPVLwTwx z>=iCIg@|KQ5KcD*F>q_6)D+ShY6_l2xhXu%EXHpN`zbCrg#$r5G=)bA+49)$QF)I^ zyVMjOCrmYkgTSoX*c1*?uBNc78VTUr0wI1L5H0N~!3;jM!sPL70gsPz=-UF6vI`B* z4P%r96l#}Gad{{6Y=F6bB-Lfl1*k1Vl|3I|b{V7{cAOANV>o27ULeF(6Ng8vjRfOb zsmfjqVvTkU_7Y(p%gv35z1m(ToC+8E(?elt(`~1~M{@2AWO6#Dav0I@Q2|1<^yc9Q z$Bt?P_8P_P7hydya$$rgfhd=2wIs}%kR{1+zqL`+6VW zjw8lHDtfvVua6Q=1;j=dl{-fe%X@rrnNwCD@f0X<%0#7IDvSbzI*2&dfiMk5i&Y(5 z&Iqc53NKmU^9mHB@i$g#{5Zs*7=uo1Ggk?ht0>}FMZ#%+iNVGX4XuaL8uFJX5vvGa za9|cFYcq!cELehp4V4V+vjr5F+7RAXAx^!xy)dMvuR&$)I>9*3RoS8-)?T2_t_MV} z^c)U(Z=jIXFg*RgePob;LJoUNDJ~Ct%K{9;-i-l z_Kh4I?<7O#8U14hN0_o!V#L^oH1X{qhw){%bq?dpZtES!m)-7i7+-eV;4r@IcDKX$ zvfD<7@nyG74&%#in;rVgZdG=#V3NrlgjHGFLI{WGTq3i}wi2U%_`r8h3H!je*)bb2 zp6r(swkrXo5DzkTf`Oz<2N^>l#kS&N#>m@lGWbB1UXh0%9|}o?>3a_$x?Roi;xTT8 z_P!vl9bQ^V{74Yj4KJxAJ`lv+!#9i-ciUqS!+6}-?YZ@SDx_L5SwF$G(z7 zYdgfm5&a@gp51oX#i;|2BUI3Q_%O$He6N)Z%pp_aA<8i_FwRf)LzLC_T!_-D8I21> zR2O0%Cm*BrqL|x zmKtrI-bJ2Xjdc>M?!qBVHyO>ra5!>`6yl*azMLv~l4%~b7MT|Lp&+9VVWxY!;qKay z%}~0rOX2_{VDFOmIcArHb5L>|Kg0-O9*j87gTjp9Ymp(Fr5wvSL>zMvW(1!&hip!a z5ORn(<{-=ns7IM}DI@q7c(k^N7&%n)&_$RLFz)EkMGSn{rZhLEHIU{59;H3bjYD=h zv%rTqkb<&^IA$T7&O!`4=T^!ht)VPDiE0F$>{z7GgBxzHrPUt)VPDiI@cz5zIoXo{EPm^C{*X)xSs0;n*W; z+~ZJyF=OL_FSxMe=l(VrY*P&OFl^%F>f$ zZv@0-xRY6;QM%i6Hb^`XGOh@7w#&s6xM9g`vfYGi!(476_Cv&c?1+sA8&QNQsd9seu`5Y7TlIoV@K&UVn!URNI2~;G142Bw1)iU zNyI9`Q4F&{S@ro`d;udE*igy9K6`@V)Q05{acaZzWJoP+SPlzfzbJR&j#Lnb4a*Tg zWX+1hhUF-QT!9SF9s4U!cp8IZZdkZj@3LnD%nb@Y7hrfW{`mmIgYm}$3=hV?5MX#P z{zQP`!T1*g?C4j@F9jGLj6WHm9*oEH>H%gCLb=0UAw(GpC=tfuQ&C#sJE+)joR%2+ zo1u-*MLNXGR*L*;h^!LU*;zpFONV0TC1UZHJOn)$PRBC`-^*cz(Q$5;VaO_6BQ2g$vukPCdkMGV+Z&u!&_tO zA^2=)rL^&i3+zUN`LxpRiD`cvu+F9f!fc#oRWiFkW%TBJagbviK4(D&CzIj;83mi| z$u)=1r1m+?Cm)b>uEWOU-GWy*)bTd*?gwPv?%_I{=eSfM^Qo?xtAFe{Bc^GJ;nV!^ z;<4q%-3f{{G7OIO8tzVbX5(yp7c(-uP7&{*(N9bMSM_Bjbv^Bgr|`(oK6z}Fp<%9& z7#XZY`SEmv!(6gV@MeecClqgS*qZc9daJ`p8gTJ@iw@h^N|DrU4%^XM6Fk4NiV!YN ziU-)Vb9Or!d?BFN#*G!8cOU~^tf_QIqT1F5g&LyUUq@{l1a z=4oQM!FO(P&z-er$S>{qR@*URyol#p)w14m;$tbJm-biN^TaH`h&?xSFm)SXCl(SOv88D+5Zmrx}sx6radFe(?pJj=8OIoeB+NvGb`dS<(0>aF0^hSpL z2X6vLeRbDvYX*j&@q4TOAq{+xKc?Ux$-onNWRy%8uufr`T&YIze((tW)ixz0IO326 zkN!?`y%skej}Q>!`#0{nsa8m*gBCke7^gd7`9Jd4vGO*Xa-KYMt%H+rLJUD*pn$k< zE{q1uevbR(N{!>fbRXxg2y(qsh;JeiV%Te`RB!l@aL}%W_t4p{j*$tQ>>5Iz*%y15 zc)MK-2C^*_3m8;j%t9(4^@d8RSKA_qu`Fg$ko;m|L=1!K4TO5)3SSbXd})wZ{4x^u zjnd~t$mIB!YO@$rZ}jwVdy}HPEq9DT6`xk+@#IZp(33^{{0W_V3mGZr-YSf^K8UU? zC7^e&@IgQ_P~J+nwb99M4`Mfv<7Uc046=84dhjQHZiW6_3kFQZFTc~Dc^hyAf95l5 z>j}X}mJs79JK>Uf8>041i1FGH;rPaF3gXJfHQBwM8jPFo#%%?I#$ic{yth$IBfZ^i zckRaHLgl?PNJFa|BplzAp&%a5l--^<+Z|2G*+Yte?2CnJFa~UIDTT_j)5DO%SbW_# z&QANClbW3#bq>#P!|e39QZ4)YATjo2`8YcrA_KEiQ=FX+lYxa}bLH9Th!W%&Q(+iO zF1DkRW3*5OueN81u`3@r#$@eT@u8=djgw%AyG^mGey zz+NIoeN`R{FSeH@k9H2&D<%EPv(xEO`e(}e6=$cjqx4@(=~tSaULT=n4OxVzN)p`@Jl$MHOASg zjT+qT$JwdVqlB)GU)mK$(;H`YnleHkC(xEbHF*_0CEhBG9n4Qw; zaCQ<-Fv6jq@lRir;sqz(cAEt`u1hn(Z0dudWoO>z5c1=1#f#Zfz#M^#1+PfyTp%U z#A@3>%q8BamF`AQFRXV~+a_Wx*mI-w?iC*^N_`v*-<&1J_o^Bzw(yH>o8(~!1o!VC zM*e7-qc#F)nHWn4C67C%0UIjoR~&P8kJ5iIrC({x*+V%GG1aLrv%SKomr84&0eiTV zT&31hZTmgB&@ub$fb^sJ)%K`kpBhm7$3uGKt%wg&URrkIp>JSsjd9F*k{W7R`fMDY zejQN37eRj&_lc0gWIy(al z&9->rb(V6yQMz#K2}+lp3*w3TNgQ-hQ+gOykbLHL8zzKb3m72zD7tV9j;_H&ep$;- zq5_t|nr)k`+VRAs_y`sHEJsEyszL_dZh0w`Qxs08*b-CJ_6I*VM$Fl~xP>WpStl7N zQuv^0-nu;oe!6izH44@v4Ga`sDtyrh43wv!pWnpbIfDvdgau!LPzMkn^PzcWkcTDT zEW+`Ze6xeN@{%uSeM$|p5>`0K{L+xPb_(q_7f`nK(d9Y2+_kZgmx%**1sTXaKhD_P z?+K*VgY%q|S`W^5PHH{4K&i%c0Pc_xr`Lnmk%4M1tp~3sWBm2t4N8zbtir+pW7ty3 zV~@m+hq%IeaJl%<3+urZ#1+%pDC@UwnpH}P{ zp}*Sph6G2i2OoC5(t7X_;?#O@e@urh3uE)6k~3do{Eb=upAjo;@_<3V8fRnRGwAxM+=5XGuA-~C9b#Zg@GQ?eWR$@2)=t6(-J1b!vdJ!P(Ahmc!9a-htZwxc zYziUn43^5;0|v{w96_H=^T_y76VH4GFxV`00xY45bC5Ngw`<7YNW+8Vf?X>)pcfaPnI!|x^Yrkjr(@m-LwtO6ftYtc zR|;MqU~ZY<;sEOx3f>T4Yro)<04L2BTpD0okKnQZ+gkvu?8X4I1Ara2oDhZ;62LxN zL5LQmCYRi9Hxr|rv08-7OC0QjsDP=e;t-y-+bG5g({~ejTNQ9p{1ivjK3hWuYSlBW zwmV}4b}1~%28c@?8aI5TU#gb%L7aR9+W4#LCeS-d*v=2Y<4!l_#bg{Q8w4x!$p<40j1;?c? zckFf?_Vso4ATZLUF}Op%hfHe`x>PI}ehU8mF1iy_T2z4I} zA0=$S8e4q=Ker_eaTp8_x;#7#(Pd8rIUXcsqb}GXGTe50@38B)dY8w!=n*ieIGi7| zAcr+iQ(ZS5N6&>y{HVkzF56|no^i-};Df-&Jn7QS*ykLVW}V|y$9R#e^gFCoc7kF} zN&{mbj>gBtDdt$#kKAyRpAgyRiz`_Zb#@92;7~1RC|0$!uv&1d-o-GS=$s?X#JErI zNMmlDCGAQm>}aYTO^m;?nsbb=3G^q`NDD(cI5JFC07eTL*i=n;Q1UiHjDq=>1v?3~ z9!Y$)-%SR(WApIg*St-P~u2{?V{b*0pg;7&rDzdT<^lLTEx8&;b2MLHV{(C*UND)BuKS+#U}*_$2aU= zMIO&E4Bko&39!_-6%rCx`@u-=(%|q8+d+&PD8P~oew#6flVXlFKVXAop#6@wSKS3U z6jOWE2c47JtL|}5YOlIasm3)OeqVwZ4XbqTVm}$_z3QW6jK5cXTnS=;7-z5ggyeA# zh+j`6hL1<@Ef0$iJ&t2oIX^`V!$#{pEk5+ZUiBz(g}v%A@iq6#ozD`(ot00mF1F_- zk9H2&@sfV!z3Pck`Y)FCEACZKj?#ZQrC({UdTNCJWp+B~kJD*hEhSfZulgG0slDns zPrkHQecf?suR0vk8*i_g;LD}xNa22Sw`KiHrm4MZEj2VZgmc6Ok5byJ=7rh7M-R~G z6&Pb$M(D4$){x-ny=sT+mG-Kg#HqdN4CVH*n%W9h~oP_T(SJ@n5&Y#1_!_f}Xj(_-tBZ-lK z<^jw(#9ZCR?co(<05dzzI)r*8ESzC>BVN8WA?;-vUBriY)pAOi*R(@|)wB7^(c;-6EaU~8m7h87VWb_W^JMLD~ZkPgNm zk9lydtLw}BDDOH+k+si~>!Z}?&<%uIzf`E(0lPbhE67VdtbKzWqwIJn!Gca#{0jh^_9i4VOn@jXjiVd8sUeCTlu!8+nN@&7XMosc}* ziQ6b8{mK*H$x-?*m-Q=7e5Xd~pHAsln)qHFp?{g34f^9ueCJBZRcbBOW|XHUzF|+k zH1Q=D&^_8x!(Vv+TsXnvv_iFFOs$Rj8a28t2kfme-ayM!0~J`hY2V^eN)unJFq+;t z6JN&&{ngeP5*$78b-P|^;+sO8n)rIs>7Z!Sg;_L|lz*cpz8R3CC}H9&P#Z8D(#{Mp zoXXB7M2WoB*4Z47TiPFAO1Z{}BV#v$tL<_{hYMOTCSlorh16s3#1Gkr=%rKHelp6Z zvRAo&oU5?KA|sA(ctVX3#y99Qq1b|5Gg7`F$~pAn>)9iv3!}8y&r_HVTQpLBeU$eo z_TrJ!8whpoaB$4N6#L9262n$*UkbL=p?|v#pD%S-A5JB1bjZUW?rxS7!fWw!fh!z` z$A7bSljCs8hj*cfxjvwwnD8V<{4+?d%2o!bmRx7I0YZ&48;X28g{+)nC!dNd*d1i> zW6S)*yUh;WP@IzyA`eZ@DAqa`H>i|dww{oiXBN84?g}v1Be)?zJ^j&TcL%5=FKp5R z%=SaM!!{Adn#PeDp?_MG(tAfrw?wJe^VX5lZBa@yI&Aw$>5eEZCTvO_wlgiSvq3=c z$9Y#^mts>q|0iQkLOSfhbXs@;nh=TQy~WkpUQaw6AUsU5_TL-*5y<^ysErL)YGVf^ zhL;v1&4NAZFn&nyF^BQ{m5)1&->*FA(7#`qwI>KMnBi0iY2o)J9G9Blla9j|DzkRj zap{YbPdP3%j3dPSAxZuf>}Z6jAi!e|8_u1z%Au?U#dg1H1~ayh2DzinH0vSKDba*jtK;h9$f)<0`pC=P-!#sxvU| z;QJ{w__b0Zyv+~B>m`OBhAr5zGvrUmvz^MdRc9exR!hi^!J6u_T!6WL!G-|qXA9;7 z3?G z)>O{?I*Mi6EtPD$o?_azU76kBiH~F3QYzE7;pzV~W-!68FHkJMoMDo8ouOA*XtEnmW53n0gSR zitdmyU~!edva(j{<*9xkMu$2~Ul*WE$HYO%qIt8ui!e49+;54}ql$a?Na@BX-6!d$ zk7b-rM@qLv=?O`n*iczASX=#@Y#<)d|7#+52qOkqJ1qSfz#X`mbA*A30X9;q`T}`%(37(Mhs6W zN8xmiVl*;G_?9`QHI$<#fgB6WvCf`F7P#PC$hndka`$>z@C8B*5w}nQ9}6Rcz4icL z!A=sg9{Q04et*JYb67yU;&5WJOwv;h8^Zf~ryb&xr;?tD(#?XeI&9Kocld2}hmHCs zPMy652(>V%*4gWh!{9M2W%Q({6WW~Z3N{ZvQfWx7rI?3nMf^xT^&7}Q-)QPb7Il^f z#KkycYzvh&#@g6hcHP$IksB--c;gMF-pL5G9o2(ZxhE6C!-eoJb;P}x8ri0V%Qd{y z891COz3!gYK*A4%B#|O}5AJtPaT~(WI4xwT^8kGLJ3yT#;R$X+80Vu9KD6aH9N1!} z1xC8HmELsiuvygRf^&FzvBHEihhnxSn1x}aFTgOWTpFN8l`fl0h?W+VFAq?MNp*Gw z;P`g*Q(1QG7+Wbhn@2H6vmPYTZC86*sH4F_ScVpG4HeYv??okmajjyYNwCsxvW1F4 zUC0&%Ss1skCq(LUH%=!BHPD_IJJ8}=7BRAR3;4~Jr9r>Y={-K;-cD~1!sYfb=n)e3 z_)hQfX$>@huZ1LG5Fa(idEzo=!5YQ`H2CVv@)0@iDB+l+6oS#*0HM%>%&bts(9LJZYmx7T4>Ls@td$fBFh#P`XV1$>z2KC|5(2E>JaYNy5? zp^&G8tiu62K*(trXL5ev$Tawes=zYh(WqXjE~ne$rRZY^CG?3WC{9&b#IeeR(}fiy zU1ezv71om|SJ{&>i%?||$0`#}XCX#Ys>;$D%EFTGJM}n z%GiNv<$&J?b6h&hJq?U_VIlb{rEH-^eB6%f@Yh^C&dT9+s%yqBj6L|pBc~K2@g`b^ z-$$DaNJEYy={~C_gi~Z0W{w;&I!g<4#xGM6HsEb5LcHhI;<%Yp0>o_|yG8p4>@GSS zhx>g))=7-i;tDO|xIz<7SF#wqHvkQ-!P6S5WKV*Q^-At$7Fcyx{N4k8)-qV2Dr~YI zH*i9N4G*7LCBz4NF~sAq#%2h^SHoeoo4UJ;;$EV}bUzZ&8*C;q?@lg2Y}|S#M7@Py z3x|W?S$uz?4}9qJ)>u!EH0M&2M)&xbb9uym$TiKbBm-{MHVsK%C5#9o-rc&`u2w{9 zB3*1Mt|1Q3I-^A|5X21Ag8cJ#txKB{o(t62b%dPUP`RkQMTB@9A=dR`$IW^GcF2|p zmg_R&SeL@-x)dW_muU^vr6*CY%Vp7^3U6+qG&cqdLR~H=g!QURe8Q9vICQz2TpF4p zZbcL0c7~S@_nsX$^PVUc`nLhX3xx_#wqYN$%BA6Kcnzbn!@;W<3GO6h*B^6p2?ak1xZ>!@{p|?2> z569!{UBoy_K!4O1%OXY{!o>Sr&N_@=8r{hVBeZzax%qLO9(f#F&`s-)RlC z2~VQjCU%7^ROwZ=JCr~_;n`#l5~5r1wmF*cLxlLQszy@u?>)rq-&5$m8rw%a1^Six zH&zOYUK;!k5aI_$P(u7Q*<-{wa?|I%8|f#U~25mJkY|)-1hOaraV1Iwu zwKdS7(Hs%Pw8Wl?Cuf6l=%`0sxha{Xq>mAn-UqC)XNge^c3kBAJYlKh=IsT?%}Ec$ z?e-!dO_(bey+k1fFBJ+dJ4syX7Y+7`<7Sm=$W9YtOp7fh;@Dz@S;IP@Lcv~T1P&^d z`tXpQr8w1MB91LaINf5z;A8&K(2S7QP>b;-$}Q$x$Rf0u*Fy<(XwYOv$Xa2G!R$y_ zp0~j*4lybQ_L>!xgaJe}Q z*_Dh?qX^o-MI7r}I9=ajG{ZBozSA12Z%?9J-&ZjUST~Ue3^g{7kbb7;ayDO5`1J#j zX6+h6yqo|A{_eMHiAy8mmrK|SwAnH3!wb=ffY&$}p{AU`_2mRmz%N_Gv4Fzm0)E96 z>fqs6z_bSP*d3CH1-#pCU=|pWC!$0s;1WU>kd>daWrRR{;Q=GEFQXFXpJh z;Z_AP3Ug5p%qiHQpbODAcLk}Y1$?%f@FEoL=b?;y)`ZBG0}RHlJ%lh_rr^Frkg{E1 z!r4a{N2dmRn2_uEEr?uW`w20wtCuv{qlydZAmY~8V^PYnDrX0ybULKCK}}eP_o6vs zU{E+DEFWl95wSP1`&`Zzf;vSE{MZL0puRPZUTjYhHX}W`2wOv8rKd3?;@IMZ%PnrF zM?l$1EiSErEFTC-mRsC2!Gc=W;-~BwVXD@JS&MFQpFKx~RHHf`Ol)SOy4_9$7+ZmG zZK@T#Bn9~&5pdd1+#RYN`$59g1b>>iJi)(8n3~{UbByOOC$NIr?R79vkiu|o)E5}Q z++{{}v=g7h?)4psG#{vnb8(b?R zlp9=|;+NCwET^Y2JmT2kgv;gqiiweKaA^$`Yqx7)+<^V4p}Vb{Szw%~^)Y-3AxunT45O z!N1pmJ_uR_`Vi=P(653PgMJNk1L)T?OESNaS(^E9W*N}`0o|DSNM?EFqnQ<%j{)5T z`pwMEncvFXlKE|1-wOITtiCPtiOecoug=__`DA8I=67*@2k29ft<8KogC}g0&t%qR zKATye`F&j91^OIhcV|A2a1$P?-;()b@V0`!nAw*3Qf7PRK3wm}d^xid|9%BDnE7gE z2>;%n*_C+!|Lz8T4KcrtfA?m-k=d8|Gh96k`g3sq3iQp)L7=|@JpptW^mOJsKu1B} z1^OQ7`qpazN`)b%28KcuVc75=Ki z#frZavJVR{Q;d)3dbz@nDqI1LkLl_rg}O>u+N1HgZ!t4CE&2Z8@aSKr3fVbI@6`jo=I zm*l(PKBH9sN!(`@eh=K|K>sZCyuyD0J`Vam=mpRZKqo-|3VIRrZ=jbz{|-8-82_R0 zW#IqR)hh~rsPL4+A1OSo@W%?zDEx`SR~7!3!m~)_r=Zt_{#)TWh5w`Qb;ydkGF<%( zGz@w}9L*0!y@i9{lV$&`Qdq69MqzC>Q>+8!K=q&oaT^upftx_hpb4NB&_qxxXcDMR zTI~uu6kY&sr>?pbP6oaZ)D5}_GzByj)B}1GXd38Z&~(t7K{G&a0Tn>Kpi7j>TX8j0 zS8vO*r_R>(JHVZzt9L5wQ}`~0mnysr8gq5^a|$m9{&~<9LcgH!N`>!M*bmuzbafT3 z-mAQ>#?>#0H(%i|E4)VG`yg8YdOzq|&J>w#})fFg{y&Y2YnK>MjF41t2;oS zl6mx*PO)#n`0qkAUw5eF3yZG5;7>TR~qG+J>ty zNppw7uK*89@>N_7>FR!5?b6i)xY`Z+8t6gk|Ec(U6n-7ty`XOh?Nj(?S(eL(nPEk3gqEKL(uv{RH$X z=)XW`K|ck(2KsN%Ine)rUI!IH2KpIj81x1R>%JnszFW*zu}9Q!6@T z6gDc%D{O*Bv#us6YyqCAblPy$E?$Si3xGRy)rG6c(z!@@io&T1dmwugXd38Z&~$O% ztZ)YKTXa>xRWIlgp|>inS-O6^!r2Pnp>U4EcS5@l^e)h);#`KSxw`r}#lJ$=zX0x) zx_Y<5eueK*c$LEULSvq;ei2t!EAB7j>KgIhr*HxA`*n3Ku08--2>KP!b)XMQvItin z0$r~ZehpVQi2v&fmjM5Uu9hnNu)<{u{|{t0>gpp3mn;0J!W9ZXrtl`{{id#N#?^1> z>K0u6Ht1HNk1JfM@OKp6rtlNcSf#7gxVjzmNuf0ge;4=;U405yck1f*6s}eHX>bR0 z^%-2P)758jwI1~Qpu0ey18tDx4{&ui=<}eB;`|}5Hi7N|Z5HQ`aCI-}3!p9H{4uV! zg1!jaCeD{|wOv>DDcqs(%i!(=eMM*xS6|iD5U%bA?E*cZ8hB9rKLLJ7SAVK-5AfGP zdqLk2XCJQq4D>MQ&q0rf`xgrLEBs4v59sQz6h5l(|APA%=&ywySNKhZ2NnJeWKV#; z1v&)!ThNoBZ%cX@SAPe33iS7&BcOi(Jq`K}=%}>5i>qfq|0r}!;Xf&SR^j&`dk*x^ zpyxsV0y+-*KIjF|4?rhC{|b5$^lzY-K>rRp3HlGv%b@=Ry#o3n=#*0a5w1>yek^oG z;ZJ~H)zyFD>MZD|px4CtZ(N-N{SWAMaf-MyUHuGK!@7C{SJ;sjGu0fKs<}5U)&SRn z>OeVAJ*WZH2+D(+K+T{Dpcc?XP%CH>s14K(>Hu8;>I8LxCW9^nb%QPfO#w{>^?=?4 zng+TUG#&J2&pOtw=<1!g>eJP`aCND!E>k#H;m?74 zxnll;@RbVR4Q@Z^J)o;V?*+{R{i38-EBqye^TGXP&^4g;Y#TJ4(K+}C&XE$a5eDlpihFmx*PO)&_+rBP~j%vdqA5(e+0T$+%Mp23+Ru9wkrIh!fgt_1le|7-G{3k zpf7`Vg1!P81btP~A%*uV+y(9fy4sDauYn!}{R!wH(4T_#fW8jeE3I!R+z0$;pofM2 z99NI%>Ms=TSNNCU9svE7(4z|fufoR^{xxKegT4tm2>Kh)6QFN_4uSp_^d#uppu>vs zcM6{Z{(I07&_9UtG_Jm*tE0I3F6bH1KZ1^l`%em=1^yoBIiY`6_`Je@QFt7(?}J_d z{Qz_V^sk^7LH`DN3H0xvlc4_qy$t$K&?}%Hf=+>c1Ue1+G3X5FC!kkB{{=b=`YGr& z(0_x@f&K^dI;aRT(9b}_vgQqiI^Qbdh45k)R0XOA)qrY2b)X!mzJ{YsgThAOJg5oO z44MFH0Zjz8f+m65K<%Io&;_7QP#0)2=t598=pxV*&{R+l=uMz$%Hd*#(-pp1;S7au zQCNUpFX$4`TR}5HZv)M$sVcq$|IU%tI~Dc;ze`t_D!feLT!lZU@N$Je54|gN^$QBG z1b#QDU+6swuTuD4h4U2tqQa}8_e-GpLcffwYjpKKg$oqEU*WZoeLzVT`Xi2Z8?v^aSWzphKX)1w9G+Ht4Xl{!Zajz<;l+BMSck_-S2zN8wS0-v##> zUHzlNW5E9edKUCO+5f!4?*qR8`hiOD?+Skid`hu?r0_KGk3nY?NUkM zT>VVEVO+fd!YOnSA2%pwK~=TvkJSomfNMc@pd6?k)BtJ(*Bg+X3fl+x!1jB){2QK zW;4v@nAw;uFk3=tD*y*zjZNnsI;4e<;1=WXDKd1q~Ahw1u4`Uv|Jc=1%9>YA28NY`bfv-&gPo!d| zVHRP+T^lO~C?-~-pv15e2PJ`(Bq%AYq(RAGB@0RpD|t{XtQ0USf~^El#+C{wRjejq zo{U)yQq{4V0!jlbP0U(gYh$H@Sr@Y&r0N5vVrv>G1FQ@&Pscn1vk~MOV`YNb6l^oB z%t5gM7640}VuhIlwl%;8TehI=u$qZ^7TB|~nghxn;DD{Upypxah}j8jXMhW~=7U-Q zSct7fm|Zb1#=HdcQq0RRFNe}@SgpXk60ZNO?Hs7+XT zg7U)38x$8SA5c83d@=ihy&2$-tpHGgfFNuIV-5j36ss^$;aEk0iUdSqD;iV`U<+U? zPKgB-ht)RB+cC#u-T`?DSS4ak!kmnmk2wXi0COtlG|W3Or(@2*ybJSg%$b<8p!Pjj z?FF?DtNoyaSRKHejX4KWbFs<;br7pVpble|kNF7LM*+vMRRHQZpb%R{m`{LRj8zG! zlUS8vJ_Yt^tj>Tsi`6+$=drqg`6A{^n9DGiLy5~w_!gj%3Q(0e?JDMLIQ0hBH!iu}%y;3KD!@H#-3L_-sKHh(s0V*SY68`aRSV`;u-gFb*y;e)3HXMs@0fpp z-G$XpP~BMl0@VZfjjcbR{sMZj)d#8{s{v4hSPfww273fB3P6A{z&HTEp&x-?R~w-M zXyp6)5fM;y00Uc0P@(`afH*(`r%Ga$!YmD`GFZuCmcuL$sVsm3KoOt>PzI;~RB?$( zpe6&ItPLe}0J;D@oT3kEDpu1#82}6c(*ZL8MgU`g3BVL!1~3P( z0T%cuOWYm@Yimfg!O9l19p;&kItwrxTXQhmV|Kti7xLy|^8dVCG@=#q5W9GiHCx0hj|Z2SKaBfDk|^APlF5V~)Ta38_(lXg~~L3t%fC7U#xc z-iCQQ=6K9IFehM6gwjcXWB?zKf>Q;UQ^8KdYA2|4tTHg~!n_+&GXYtEJ%GJ9bswnx zSP3y706QCy1IPvB0S@AvLzoX^&c}QN@{VG4408eI!l?SltA53#;3p?f~v$ zs|wUTz%;F51a)dA}9mGTa! zy~q3k^GD2|pu}gu7r;vt7cFwfL1^oPH6|#fmJ7{Z&-Z?^#jla_zCF7slPz= z0DfcZ52(L@UTpPY?#DcUc@Xl3uo}iZf_W4(g1j-T#zEmvB8|Wg?~PFLkMGeyiC{$s z#lVUQN)#(GP~uogfRe;Y3bQoWG5}d@$$^pwu&||oSrKd{tdv2iV5JIb5@0g6)Ig~N zreI40vnJSDSZQO{0b3WK2hayh1xy1N;9Nsc(*ZL8MmWV7lnKBTU%yS^s9^e3&3z!FR1ULbl0WN^~fCYesfJFdTz+%7>z*4|6 zT+?#QZeXv#Y9(fO%&Q>P1F#yf2Cx>e4zM1u0k9FU3E&Cv!bf;x=7Q~m6%Vs7*nU`T z#_SJv09JvZf&jtT3c(zTISg|+<_IVe35Wtj17ZMM09ygEfH=T5z;-}9U6kMACb1LRE%sVlsW6r?53-fNwnV7RM@4>tm^FGY`p?1Dj)L^u#W>ARS#FyDjJ`+#adjTmF(3H*Hue_!L=H<;gIuESgp z`3-<~fcJn8fRBJrfX{$0xYSq7jhLG-H)C#r60KOZVQ$CV0jZs0yB{zB7z7LfhH=ga=25T_R%4jQ!N#9&9D%P7AE5$h01@&Nk0W$(#)t$~ zlH^Z+j>tm}3!s406frAdR>rIXd8$}V!sRtF>qF{Pz%-m=fY}i9bj&j#&j>4HT;2k+ zEoOVja{$c6`SU*9a{#%3JitM~A)J30b3WKdusVwQ7}y1XkxP~s$@6mUwMeExS9)H&Q@IjGBkD}V|>B|hRR=4+U*W4?j;CgxjE?l#~K zw(f$e0^GyaeNfd{)nKm0`~XrP0v=)OG3F<@C(j}E1@1{5sCqyH;2q#S-~-?z;1l38 zKI#kRub3M#H$h%ARxO}fv1$X=4(PyEC+2UMzhnLZd0n{uU%2f)u={b&0H{H%hH(BU z)(DrPNx*ePerkAx4vK*lQ-U@k4wi%jc|FO2lE>*R%nFzlF)LwK#;gM6RI!>we*OK3 z8rbSsY2Z{%%vzYWAx{S@T~K-eeZW+}G@NRH*%0jMSj_-s1TdB$XW9&uIZkKe9@>Cy zi(8tBQ)gkGjZ^HgcECIr%FV;d5wjC!XGnFy^)8fPj4T6dIZk&2wF0Y^IM)O0)!1Hx zTipb5PLvDZ5#5p4xB!v)e#AU^L@9vJR;TmLQMwF`EhZbe7s*>h%F;~v zb5J@Za<7a9-xP@vd^0f$%>t#<_!eR!G)t5&!nYKo)2vWBoo^+^pm9(-gU=CT(yUQB zlW#31%C|vcVl>-yF}^Jl6Q|jwi}US}m;`NRx&(hF5|gCON|)r%LSj<1+38aJ*+@*9 zHYZ&g8Woe_n~PCtY?Myrv&CpMGn7uyY|=#|-1n>>ev#Gm!s%8L!bZggao7`x{qMhMG=VZ zNOyL6#%f0*qQbgX0&1=zibRhSkE#&MmoCbxTS-AhqE&>B*d+p4K4P`gp&Y8F=!ii% zG3dsvDzY46)mc!BAPwn=Um~=~3dw>es5;_gh2qDFQ#Joos6azS;!vRkRHz6AafK-~ z9SJBW0TmvpVez2CB8lUKjwF=f-V>qfIja{SF=wd)DQBBfB^*VND>Y=a3)6|N#fDzNJN@(oSN|j9T6lTNUzWHLixOX^SO)xc|>C{2_Zw7 zKnI$H5&cZA3u1tWxf41tEJSi5H??0D$|w^o(W!7=;4;FPekMA~C~saxv}{C-Q7&^( zn#Mp=p#+D}xd<<@$P(8X2$$Hz7)D&tK}i~eLm-x@3zPt_BTLjn6$t8B#u(;`p+RvP z!v(599=L=s2K6)l;6_l(a>gK6d{7j+;Q=N5{-YaNO1Kd>#OUWr3^Je_eo$h|zq@f- zX`&k|7`=!qIVeJ7Y$3am_U~@gLKS2;Rx6picm8Qp^RCyOsJ`_>@wQFJ)!B5~y5oirDG3mj{hH4(V9y4#6Ot7!uM`1`#!ft3+22 zNFsi(Cvv5Mw|^a;L`62W&yRs_w(nb4-A#hLdQ-pq0yY9JnE3dL8!i1q0bT1^yZ5RQad z4Xp-EBKWo9WZ_3y>Ef)u6ar~AT`QnD>4V!qb=vgu0Pqc=h!xq562U6yhSN7xa_C4U zt!5I0Wqk00EJPmcNH`&s~rZiCbDNF*jyb&1__V&sk?zdJ#cv(aS39A)|+Xpg5(4#xTl&Qq;O2pn%V^3S< zL_yr37xGdkSPT?P2qRO+%Ttg6r936do;84?h$JU&rVa%?PUWYOeMG{O%u(S3h_tt} zTk>MYlAMv^{TdGezikgQOPYbEWU&~8WDFm1Tb~mw8X<{W z=#&LRH!yyXe?!Yerqt)4@;)aDJI0xU%7qHV9h2;6^LvUycR%|h_2Hs+&k)9WM zITqhR6Op&17fnRo`c^a%d3}3PKu<^)LAjoetkTUhjCb*QaLeW}G>PCWR4Fb;sNRE6 zd6DX#EX)y55qtL|g8Psm0&_vz0MoJ=on`Xv=!6IlZ4{6J>_aMYOPg4}p}Uj0Ds+|n zAjl#+`oD=A&B0_$NTWD&Wso@hE4xLMwP|o;WfF9z@FbeJPG*Dit2B(6=hHTjgRuSV z5O{brm1_^~&P16GtQc;2bmiEsQv{4q3e$dvG{xUJnj{?;=~2igVL|RK z_#z-37p0ea3&?(>52+Jl4-4P|2H9_v{gZ6gTL8``GDJ3vq}q}kX=I~pdNH_lyegV- zYgi<6V=e!6IumuH=sIv~h~sD?+&c%LiEux6J0in`XENv#6km|7@JsVAPCd+l(F0%G(O&u zcsKsP`a`Io^E-Dh5cL9Y;ZeCR4DlRA#I2!A)2w0jC8Q_LCRaR&CDUfWWEVD$CYMtRvTc1LM5DDkdstTqT@b)c2rVI9;JY&j2MA zkTnSz$Z>3j%3+f}FrfRtToll#n31!1EWKF1wc|PYq>(PTfi1WWTba$)% znL%=zUOA(Cd!W~m3_4U>|hsic2}OfdD_eLUl?ir=uEbx!{g{ zts<)0H=IqYh1uc5EqqAHDi@JsQM9LW44vM?6%i%4yO9i$DzoDlEX*_rq$H#}B2)n< zTudx?frYChQrvSo2ML^<1r+C8*c8KNQuEqBjzo41Imj_uwHpahlnSfhT=-pBa?j}Z z|GOqhlr`STp9b?a;VKL;Y!8IS4hm4?kAMC zXQ0Yl@E1XLH24@JTqsisJv;~tnDhZZRGT(CHCeel1HC5L5?_e&UFZ$LmV85$SE8x3 zE5h=W4jN)JbL@o*Oz^0^1*lCJTY7)y+-qMh;uPuST=QVhgvV+hKW(;~rju{LK z6PBsUgiazl1Y5Toq&Neji}Lfp zXZW9KVyC_RZ_|{yr&hU2h+gONYoM80SUwFYRUCjOE)zvE55`WXAueB(NP00j8?xN8 zNgqe#B>4=({hgd70~Zz@`3#ejByd7=@g#v8!*zR{yqTeio9Ns)G;tH18${m75;ugW zwxYtuL{ZX%!TB#zbCt03i;UzBzzhlnHC;N^zC)cwo{x3gsZn^fH7H*s$P@53ZR`zsE|g`A%+p(7$|R!9Su=mVB^*vV zKUb(gqauBwP(hTcp9fivkR|j$Dfo{F1(B8rwQ3JuYY7_^2o%5P;BNMS4}sDX%i&KY z+`B2l6b0GYxp24(F*{dC*390*q?F`>vkg#%Ytm?l+fqSP2((-f*S}KsxD#t9tWsbJ z2=_Teh;UUzWtX2uEJ5EmyT6z~aKdT~r*hmuql*RS3faeq}zg2SB=cSrpsqzLOw zMJktIsPRt2BDsPn!&%!Z;AzK1mONvUTq!)VXz{NYI}ZCCNQMJc5JQEVLDwY95S6Rk z-8mct!=x-D1Gj8e>MD03gTqFww1FOBgC2oCXF}wq!a6~i%b?!Qft4_m3a8iLgtHn1 z#OF*Ha5@FbH6S__{?x!SRoI|N#AofxMC|@LB0Z@u6TycYDZ*4G*n?!V>Yd27F)N2b z9m=$V^{SwT+O!YO{kTg@M{fIZM?94+IpXa|C`O313|4d_bcMB(94r_pSQUtH8SwN; z=&nL=JdnG4r3IVKQ9v>><$hNo+9D5kVTuJ?D2jS}gmqJi@)lGHOL(&1a26uel3dmS zBuXvJ6V}axeQs+xA*_R4~Sy3Vfs7o~_&o-C&+1xNRMhh{h3@=6VfC!WB0xX;}!<-Qru(3iGFk z$oW&fM{z_3r<{PhRc+C)9!p^8)~n|{~6HyF{K*-9nky!Vf@=?z4S zCu-{{XWX@q&P0Yea2ffP5U4kt+geNX{6vN++Jfe=xlyPviW=MOKQ{ms253PbET^N3 zFcVkdZiEKL&*!x?UF|~U^hW#gzN-W>&ZRiE_*IU=wq0DhrKJNx+|2Ki#wjg{i2mI$ zo!e4Npt4kLSdv?%{f!c>L|tX(RQTBB^MLZ?a>S&xh`bv_x)>ElsdK|QeADfFcJI8gq1 zP~Wl$k;BbSD<*FNWMM`f6i$`y>>m6B52liw{&_G}w7@WxJA#Ud<4)Ys8gixAKTbL& zqI8>;8mEGjwsh8vX*t6fPGnGOp)F$ptXtqQFE}jeuM=Sz;thJ0IT3FV1Z5m=kRIud z;IC+Q&P2Qc@12M@$O(I@U?S|0{z`@&9B;_$6vrF1FLNT^puWtBc!NlXCH<8QJ2>7T ztDN#wh&TI@YJu=y&ZZ1!pPdQ2NEV~Lmd!*JM9`L`NAZd%I8&@`r`P5I7=+|RHXT-s zK_LR?@*MCeRvPJUmGCqpsO?WVnH8LQIw#4gr5%<0*&5NpZTN$tx|0*-9>M;ig3xm2 zlA(Db2&+DZ6+RiSTl^7@%@YwjzW)_m*8g{fWz_E~16(sO_TPGo{h{A)8iO~+K1BGQVa1)^Qe zo^yRrp%2xcPA(=To01bH+eq;(InfmiM6NYhba-|O4KfIMWw;l>OD67&|Js${U6NG_ zw3QBfB58rnMG?5rE{hO5J6Qs_9YfnvN$_q0zXxg5LQ+mTH$`NPVe2}obMb_%&SfMb zt8*1_8Cg(tZt7D0bC*P}aA)BD07?FY{>Td`HPgK4RnQ;ui7?*Xu;|4*APDOv3F%?f zfA&oU-pb_0hm40XPZb!<96Z__pPUGfQj!zrLnDfCfA_7RX3>@5 zF&%8BOY9)z?)FL+OyfbL)1s3Trv;ND9E3k9V#&=S2%4opHaQVqpV8%#6O$9ygrn5n zyV*!Ha+JDE#{a`LWih9XL?8dB zo>x!;-V-sQLOExS`!WIr{r4V1@Ptb^)i@Oo9qj#Ll>fr0!duTvRWO4-@alz8V2@aX zF$9}QC!Yhf5%suz`wK(n)M5kbohe2M^<+OPa6cLTyEC8q+~YO@cYy!XnDy8!C`g3u}uGq1XW_ z^9c1{h2BW0VhwlqEa(QG?!fhJ5J8!xvcqk$?G}6e1ZHcTbec5cbIR|lVEX}M1!8)6cLHb?Nhe4uq=^bY)numO^Qy8=XU0(pdnL@j{cBVI5s zBx*@$6k5Z>2|Pq5@O)N4C;YvF{Ns3YQM9iwFTy!G2nDU+;Y1Y2Tfqx=<%J->sLk#n zfgz!2ONb*6&d(p=W86bvbi#OCsK^P0`21(qTrVHA$}7S@B+8M8$Ro%D5D${)hK2^A ziK1RXh-}%*XWnMy74bh0caQS5Ce!}iLoc7DVdT00&%>QUP;~JBJlrXS8|vd9;`cub z&x6^56ZC;|LlN_$BcnotS0K`MwIV9QDPlAtGy%V`SooC zGBq=2TUc6gkhP7&+<<0fs`ND@3MpGrBv01ZBO-;>A&5 zku}@e!rIc>3R!ckt*vcrOpy(A(FR&ZHc+Dt6hx4^mAp0)T%0g?zFr6}MIT#DEx4Sy zn?oZug+-wVWB1T1(Pik`9oRM^ZjXjpPT43P^RDqzaN0 z$Y`WOk{U^xBzcqMOHu$yAtV)$R00GpFzToZ#%hwj14+rTR8eLRmE@$QWJb5D zLymx?9Fk6vbdRJDBz2QSOaYQ7NtYyRk`|KWNm4jT2_)?Xg7bt=X>HXVA!J91#PNht zV()kYHsJ3lQGg9>gB&F;{ukYyD7IA>DuODgqk|Si@+bkxqoO3ql0>@nNY6?#+K~T| z{{8>{`#(1VeZ!g`{@)#z@!oql zBQr|Xz%#qR5y=z0_nz?^H-0y>Gti%$cI-j;$wK+b55K(X*B)GS)81&+!(Epg-I^W0 zYIllgK0x#4X;khH&~Q;dSifM&m{;O~6%AnvedT{jL>)2Iejsyn!NR4x9we=Ky2gEN zTc@Mk@6Uw~pItukIACyWIA})tLc?h%2Gid@|K6l($FDoee0QqnZAVL;froKuSI=h6 zcisNiR`_lmYFVIR7|x4I*|_0j_ObR`w_P4OuXipAo=kHJoIK;Xg8M3ys8)(g+qczfPs%9Sn-cB10=}2OKc3#OaWUPE>nkF%M&`lP4U?aq zn-qTMLYmQ;yYJKA-@94Ezf`#U*Kn)%m+s_8C$x_y+LpMs*GDy16pg!hvo2WhO!ptZ zJFWHSK{x-j=`xx*Z)QG9nsuUoDciJP*Yxo77u-36bD4opjlTM)H5S{lbpG^YCrp`*V{7&uFa6Q@eqcri4zr)pjj|H47b;S?li*{W0Q{fdT8r)O8 zx%TsRO68(J3NZ)eaiXTzo>!cr=eZ8A-R5pFl z`4xUkOKd;SQ)!HL*3!ah zcJpzbguP#g)8nLyWzEOGU3)5@G`mXD+@x!#N$vMy%l_0O$;&U!cw(A%e#Bt@p~hX> z9yQc!&o%C9}yT)z?R}eV?-Xv&zn? zrh})C=`J*tJT`63_A-teZB~4O$hOP9If3}yGs%eb!y%BG~d2LvbiV8 z;~UfR_Wr#c8BYXvR($#Tz+=bdO?RE%Zh6DaZ~43N^Q#9AlGCm^vgu);w#98cqcNg# zB(Q6W!f=e_s-N7C>-L@D{gVF^C)&;YK2!RK+WOy0wF_M@TAaIi+d4YuZ}gIVqCq~o z%_WHj)w{-n-}&u{9m-I>dLfCU$lkwXPU6jS`uM5YQ#M@b+7{e3`^ulk+KKyUhwBt$ zbT)m?F^iHDQFyT4be`Hn!|4r{2`2a7C--ToC@eiTvUU2)o4ds`4!Ln3HH4^58raMJ zYBj8MB06!)E2GC=jWq9GmAmOLeyfBmU0l*{1RmUC#oR*oX&sh*Qwd`z*m*Ng}i^)F=2Twjr zpYeBF^V$8%zxQ!IxvJQ6A~UZojo}T(i>Mvney*@S(Mj*(>-^&FjXK{7AFXM7J}qp~ z;MKzsNBj*Y=~u_C)ZXTnz!dz+*z*0>+vMO|+jgdMjxh%_%ny8`aN^s{76t@=e=T!P z?zXNCZL~#9)ARU%MuTptc4*K!!xMogj+n_L)UOaV|9s(1l&t$?r)eI{(143yYR_yJ zyR0{F^Y5#}G2b0BEzw-7vT0^xpA}4#)Z1^dmLxo{kmO4;*UjeXdTaHvuFbgaV(C{n zLYKXy*y$nA;nW&4OmEO!qmOLc?y2%a;cvgTp<{8c?`iYNKYfO7Pqz}uxa<1DXsxHx ztUY?nZ_DJL3|#twdcZXP(c}i_6rX7Z&^E zP&y^fE$2KxwECKqS;)5)mwP*keu$nr>YQnFZAiNPs0DAK37+k zyf76Jq>5Hfo!odchnX3#_jV}fu*b+t3*Y_^T^|O#CBuAQ-f)*XCYHLS*m~OKm7=e9 zsELW*k=$_U>TIsor|r%oM`DeS{cLRA&{Qmy^($6BsrX2~oNk;{&I3RF$AN35eFCl& zrF8!tv@r0yC9UqM=<{q#UCl@43C+$!KZYN;=?8LHBaXwf^fc~v%-YPa7)|cMKw6osCbq`}(ak!BzYZ^& zw0Mf1j%%Lz%wen0^r)(iz>!D$YGb#|iM#vi;k%w6J3p@)oH9vfYxJLGdas16=Xbll zp8P)8JUR9=rK$Drvo(oNVh9h_u;%*QSy`-?7u>p@tPZYMJFZ_8InZ;S{(iZhX`QyS zq-VZG-s<&l*P6ZlF}&;*tCB*E*U~Pdsw>}6`DXN>o93vKBUgHAbhTO0o6+-eJKtP? zALyy=rtw~8SZ%7z%P5UoXs4CJ!?pWFQuZBrHZE^sSNmRfv-*J}F}uw(*HPlvSWjtU>)sY;X5)h*% zaL{r)X4o>#V#=ObEiYGZqrUU5*l{eR_sXD>%f{M}OC3{2^}l80YyF&ZRWV`ei+SA# zUu-zMDSh#wTl#-@syBITHc5~ylobDXd(y_wiqtT*kd+#T;+8Hukr3$6H&3!MQu?}@ zt-OYvp@piYnxvf5y7M>f?-fMs^gaHSZy=}G;Ckb?_8gARxz1skgPg;=Ul$!(sI(}< z;(3L^*E>xwUo0Cc?|l4ZL~u7=MfTxGxu}(!+Pa$1$i=TBzN>kydSzs8cjgDL&uTQdX3oqy~lY}!BO?0mH*;>GxpagXVI6ORywHcYW(() z(ayx2&yBVv*Uiq^*SgKVnmgGj&ShVio!ykDmTmLZMhCQK*G%jGY!V&GIjY=KEs?U~ zsFLcLK+y)>n#L}^%li$*^Fs}m@7pVWNZusha>J*1eNE4_syny8iSmrHB;Ss$j}X^v zu1Wo>dd(tpXzPlTlZX5^w;glb>!u*DYtnW_cV^eybtj!fO%JDSI8kz4ZAzBOSq*8& zcWTopFD|+3i3r_KDIGdtf1`H|Gr7xbag&$h?$ZRvbhFZr8TY3J%|hirWAgl5sH*v~ z3re?p$sF=ym)qo4PM4`aLCBrseOj{WjhNwiAC8Rt?kCjEDw84(g?YqX_A-%o8w9@k0xyre~;W7*{L zYa@2UBPt0&PcC%|r@qmsuCvYbby)IlbyoASnmL}wI_4};y>fNX@f)SPwns|-NHh0l zfa&0%!uFXuIcKL+j(s|qlwcUJaVlF%Y;QER=X>14G)bxANxFEw)x@=m5k0kvkf|Y&dwP~sNGZd zbAHuG@V4q53U5|VFG={eaMF(lgRZM*tjHDwWj`+#T&!l(HY|=2HNCiN?;XmbthUD+ z89y9UjGD%_TB9SHAKFx9M?JbWcfZ?iv1mtNmFb4r=bdZKv(&%*jhEw7N2Ta-o#?TF z*^G5DIbLV`vN_7vHZZ2@nQ785J#}bp{a&KM>kNMC>t7b%rM_O(T=`(OdeYs2Dm{j( z*Mg~kpTFAX{PnQ6Xs~92w)zT6)176%=sGNO!T3S7!`+#ya$Lglf0`OJI+f-gVSUck zS{fUleD&wI(KUG`)tgmq zwz6lsU3hu!mZ!mnvm4GGE6n-*@_y3uKfnEkXVf>;r(TnfxBqi`dF#rPkJl=HG~KXU zsnlNdt5Z*|=moJiV`7Nq?H;)JG=QzwdZ9TQOqAfyLgA`wpGE`$n{2;i+%VCXu7hro~B{x%G9HMLX{* z*j4iFlu%afltSX^i%FYiipfip*i~I@ar0#q1Bgy zWHV&6spb9BZEmqkg0+*!RxLhZ+A*K68)hdJWi@y{&f&I%sGa)v_nCI~o1d}1k{Ji8;wx;#L_XhEc;fzM)jj$D z_Z;H?+_Q)OY*{;zv+36NL(A{I2|V0N^}11eU(wt4P}Tmm3;hl{Jy@r;;>EI8G->Uf z5uEjENf*!E^0@QD^MJI=`e^56+LKzYD2lwD|EcdvpGp0$l5RugilWgskHjuBMn2@} z_KU}>ET@=Nv&HN7H+t&$9*-wz$;+-%pI)9e>`_3cN8rC zKD10GaMJi3cfp8J?e54e?w9Per=YTtRSULI7L0g!?vA>y(ep_0@sf z?<>uD|KjX|zSf;(nRRKB&!)J(l#vr!1GxJ4{Wp|2kf_?OEiJ zvtvbn6sOr5r2Od>`E)P2P0qjOsea#TN$2)&hxqf}1qCfmOx{zs^ibw}x7)`OCtI^VW4r^{4usd49S%H%sn^4`x{=G=RG;Lw60>2M|Ads8+!;^HyV8GC7%jguF_xL25h1}gJux+O)0B|aPgBmu%b?M%2Nw^` zT){b+J@sYsdpRFtwpa3>WBIzzpX^{9T{m)jEYRW7EkB!;RpE^Rmk%kP@lojO852zN zrC&N~QMx+gZO|gWe5!+VXQt`zy18NOe3DgBZmvV1!}2fIR*P0c%tPW)3Syd=C(c-c}4rn@7t?f zw!^lhR@5vcA?J@=>JRCr>`3W6s4t&-1|wbM*Xda+?rhKBCu zPqZ_rmw)q%QL|ou)cA4ZrEivB348KWL3C7i#^{c`SH&T2(VI`Vcu7AQ)c>&QmQ=dS z>UH$)jf%PphpDIbYXxZqU+=GVpIP-o`}PjEMWIXfNg0epu5&WU*!h{dXnp3Wt&F5}6x>v1n-2L5A%tvof!c2WObMfyogY`99Hjh4UD^%RkBHDXu z)2DNt1yf2=iv&pB+;pJ!MA~V+-KZ!qD7aGOrnu~m>+aiC)WzJ-nzl|2dO6+{AKN34 zuUJ;^d`9=VgkjZL#odqp=9*{{o_~z`4-~v--P>_JEGcUbWhXQK>bTX-$pslwj0^X9N@;9e@d zVz4FhNlky~gPkX=#tbF75v*VP7QS&7Q;xP{E?;|K<(l3FbIj#7X&f@!x~9Oy=U}T# zM^(7P7lzks#euVKiZe9pTtC0g=s&1UN%ZS8vikWW>C5BSBVFmsZ=`MEe4-0>#_XSS zSn4h#cV;K!x!TiPAzucjE$*Ik-6A7cFKxD+b(^)}_n_MSk5}KhvoCgfMd7#m2~!G8 z2QG?cw?CG=b#JWtYwd$S>+&;x#y@>{#dzk2{Ej!?fsrn~i@rSA)puj6e((~T<|7p+ zYfBaUWA03fU3rSz7P%s1nGf~;sl+82lAX$WUBQ0l{OXk2CA1>tUz2K1X$S4>|K;&w zR%ePdLt^8xsOzp{3&qXsr7y1UrrQpVjqG=YpLUP0_tEbPnDOJZ!tGQ)tJJ6Wl~w9RugULO zbGeq%=NBz{`J+F!FrcB z+Fdkr;@p(tW!H%83|Rkd*ONnZ*%#OCpIx4PY5Ag0i=W+{cG@m(+oU5)TV(T_eq8_d zy8Y8f=cYTK!!GRVirL%yt7Em=t;8>?f(F)e`^6f|Lz}3VR%o0U-Ddw$*YUtD=7*aH zKUygNmiw`hvN=N_7dF(QbNJUCuPbs58>3uVwXWMWC^pB;!?i~iY@IuK%jR=~n(>QH zy-?_Q?RrV(ZO&*|yWRMVw{1%l4yG9DIprQm(_DGytDn&8?O%~s=7$bfUeo;)sQjf$ zNOWoK_dPOl*8i4;l%ja&-{be{IjX_>t|Q;fTknnMBKitmpi~!6Y4f%;z53_`&n=qN zP9w<`v4g{Bl1>+`nl!1&?%8WrtJ;mNo3`zpZXS8~{q!&CWi|CNX__MOzdIag)ajoJ zxzoS9ET1EBpPv7us%CIbN>JdKLh#O0>RTrDD>D~v2^b5N(EqFPFg_wAZ0&Z%^m$2d zC(Uen{g-!aripG|_;A4a+2M0mzLu?iVOcS{_Ryc`qmz!V?w4#`+;ioT;^qUK=c(f~ zrD^v%>sKpV%CtXymv1{oOX|(ew$(olFOxaACt%CQ)OY;GEC=Z=VHPr7D>ObSzC0?; z)&BB+!L}~3W__*qNi%ao#%9RQAiPAk42bd4?#VY1WzQO-5(h?gk3at`{d#r%-a`S@ z-xrqdSowR`t6BCRj3n}Iwh!F;ly8!ED``WO!{4Wkj~S(l#eD+wH&(}Azugt9J!GPw zZxd{AqHCeOhBDZ?C-%s-S{sl>I@7j_7 z;L1Mzxs2H_49`v|9I6WaI+lag3$c1wS ztg@A>o|iiAGbGj*Z}dv{o|EZvxgnEc_{uPjs**c& PxF!HI)*az*}S*07iazD2} zzJGds&zx_szKm<-_}!MvN$8`!>|QxK%`=MgW@Nrq^|Bjjx@RuyH@J6OR?Tf{-ahli z;pZh)yQbYWwtI2IV#n@>3d|#4lix@-Z8+&MRx_i&tAzUT&D=E-mufyF{B8cdf|KUr zDHn7l*mvm2W(NsP(+h`MJJzYpnd$MxT7d6)XzuthE0G=uG^nmS*quZ&fd_yI$rlkl5lL!$$LAe zNNer-wH*DxBLUaXqqdi}hEhwC2dXsZC1}ryleb}0XB;r)-hNEf6I0(ww(Z-uj@ol9 zL#1b9M|bT{v6XC$8(erm3pMFp|BUiX%@3Mu5 z8y=>p-(If7U7!`kG&{FyO~JUw7Y}qOW9zXS)0rFh-JL1%;FGUpdRFDJddZ$aO4go$ z&lb+|v?E?V-K$(8YIdYf_Wrz`y6Z>#-p|@?6`>>bXXt^+^>6Ak%ywzLiR7&F5m(vI zwpQltseYk9IlM3Sg^Y|zZ&nJ44Dnc;N1^#3-!2nUc}LT^Ye7W?`?`m>^^pJ%b!EL;`&allvj*6>(esX&Eua-pF~%*%MT;wE;I$FK$o%y>iEVjW$)YO0(HH(@R3){6#EtLwz*G zOV<~yzHoCob@A&-QMOw@W;zE@?CUB9T6a8Qj$h3VQ{R1S;koO@)TX5b*4 z%ha&eReY7qN|LQU^e({b^!~%^ZoDj}T6+*pO0$==rew<<9QymX_L_IatD4Euncp-P z^?kg0WusJE`*-E!YHv;N4faP>IS*DntMPu)uyyUnhks@2IWzvOKK4nIYNsu)vr$Io z34hq`d*l5hv8rG46nDI`jjEgTa>iNoe2Vyn+U~pgSJSQ!_$2Mpm&w+bid`+ry7TRE ze$v}x2d`?pn_bweJ~L+J_N!~Y^HsOBCA`1TRX=l^*7;-4#E$LUD=uNzdt**q`u(>x z<{s+Jwi@Z;>eZA*s(0B3Y<_HR8>a4{DF2PkdT#ksduVh|_4a#~b2Cy0Sf*}sX(z9I zY+tOsaNNGjHe%88Tm9~j+X@cUCM-JBePHbZr8CKzb>jUOeAkU_J8$fyW81cE+qOEkI#$QFosMnW zHg|uu}I|LD{n?0!dU_71MK)>G?uU-jJd%L+ap_Ee#fGlx;{a2nR8h6*r_l&03+ ztT5|Y2*=Z0+6E*&Q1%T~hYL`woZ3xt=-(N$#;zq{8HB<{1P=zjEq*_@JwYCIfXZ?v zweb}-iN4a~1`R9Uqt%Mnshg3A{d2ikxxJgU%u_fZHI|e^ptLGl5#Wa@-X>Cv2{=Il zdIcR}@3iEKv7diOm#f*rcA`U%-irt9b(NdA8VZI+3)}yCX`$_qR zoqt`|&JeBgLQ8OytIF_y!IknRn&Mk=>7h1Pib0Rt63CIU%KOT?f#{pboTm6?n2%eu zIy5jOu~7ss&K$f^Rl=Ve(JI_6AsqF#N{G7hfB+HI)@UE*M$}PP(qsLgWTGcTI&IDR zW1-NSAA+>LQL-OglwgWIi~Q*=me;*77)=P22kODU%? z-!>^|C{+el8AWLk;w+$;-zj3Z6Q-hKoO2k6WQjM&5k&HLi3xl1?RRL&L;gF5`2U^; z{GYr2=R^GSA^!Og|9pslKEyvC;-3%k&xiQuL;Uk0{`nC9e29NO#6KV6pAYeW?z{Z| zwtw!}J2a6?8TUH|`L2Y8=Y{^U$|o{YY^lPQK@+RcMoJGZlNb7Vt-3!Bc#Az3g$VN{ zt~fGzh%3A3lssmD?uDOE?I?U=?Ht&zji(vgkHcc)ba1!c&c0N&ay}Hb{h)e4gZLw_ z4>XukZgLZudO^rCW@@7^Igpj7!BmtnKXn2*CiyD#~#|rUC)@u!5RjzOS`0UczEQtUCj)BHu;ChlGUa7kJt2E?`RadPO~6 zmpLw$MC$s)qGv|T9LDv`!zKQeIEnB$-JHA#>jhWIznZXD7~ac&sRA`-GGbMGcfIz8 zfj)@2xI(l*rwygz$Hv+e(2|6heGC__2E+nCoTpx4Z%czg@Pj`i85*gPbTIJQ#xy49 zpjvGSl4Au{Ssf~@G%7@iRTM=1=RTR9W5t+=Y(J(r$Or8+P*bq=8S?lH$UsYn(^7w@yk9Vp2%qJ_kpWA!Y6qE!_RrAmFyogf zlp>#n;H2GKf{l;~G!qnmU<<4JpXh40A>QzaOVEww>C2M}up6YJVxIpl`9utD1?VIK7;~bKPg%NprICq|k=vtHq;o&9in}c{Ll?ok074>E3UZFu*7pQ%CNJ^&#rO?k$M?eBpzLdvAb8QdSw<%FGYRjqcn?HlvYA3>} z#2~QpMpUCai04YVf(}j9tuhn2Y@eGJF>Dc~-19RGtV84!k|_simzE?M$IFH^7Fh>! z=*AOGqy~QVO~BBl!4*rmc)_!sx#@T&=6_8}IrP;*_Uik{My~OWzUz^YT_bP>joPMt zB6U>aD`D)YN=CeG>VR9@ZVBIuyvM@cXfHhhHF}e_iA9LnI3|k1=$`9u-)AvLJ+$%L z%|%co(AF3iiy{7DT{Xm%F;uwOV?RHo^Vg*CH`zY5?8N~20-xduI8{)fjNuePPX%{C zKB=iECyR#?|0M>Kn>_*J6t|ThL=GxW`ptEboi0UXpG|LaW!1D-_;l%a!lFr+%>@&s z28V_Fc4n`o0=&Mmt+^s%5|ZUNMb*M;_=UpoGdf0R-W@Vt{rtRhxI19n+uy-ljw0wL@s{Yo`>b9d3n5ZZb2nw0TIc+M>Iryb)bOEQpa}qKyGy?ij1ap2g;E2p-^~C19Z!ba^s3B zyLYl7Qv3Tzj$@7O0wjw>Zq1yzf(-RUB)_fk%9WRN-0xC_XYa}}i`#}|^S2A0?DG{k zw?yktf7bXgQ`Zlg=eauhj%50LCef|Q^uOy@8|~Gx8eRZ#ax_7Hp&A3HjbD$Sxm!t{7OZ4}Ie5Y4uCJ^caEHoX*HCIJ z5|6UN8}IZv1g>aQvzCH%(IIqi~_z!nkwvhFSS{(IWy-D5F@x-6la40_@2B9W2#l4oLvTQUagRD1*(gNac z>@SG`G(<)8GBE8Us1*eRq$CN*wF^d&`EHHm7_2(`QPK%*UBuD9W zm$3xWoW}hw=C-qhyzAh(UXU+R}DYdtBs?G@t6v^HLmd zPl|dDV9oL|2;pFT@&p^x;8`jj<78v>7c=_3#%pxIz!-?y;=iDOu0a$wMd=6vg<{W0 zlHcj$N#`^b6gnKKMk=<~LUm3Vz#~Svq_MA9nS3P_0kwJewJ#9KT`7i^E#YSi0nE{5 zFTc28C7d>)P-IQnhH#M~Gvh;--7+

=k?VG3-WgFigLoO<&bD+L;Bjtyin#P-w|E z@Iu-`hOo^`uyxSoeZ_?T&>A~R;-4k8D9&vCxas%zAaBy>j7yY*qns6|jHJBxR|j;g z-Q&HU{H|9YQGQ|2$(4$iRnABuL%RB-N|bGyOMj+Q?S9z#wH|)P6NwVeOCHZv`8iOw zhlFizWPS1^4nz9p-FbI*V+Nb2??|@8*d+Tw&`*2MiCO~_4Vz>gxDw!iTo!kU*JaY& zX`7*wkIg1J*P$2?O@Sc@jwo@1Mq=-GRlKblWzvz`e|M{Sz`f<%x;X;DgHy!Wzc^KS z$wFcqE4_M6B#z`@)^UcWmV%z}?I!>`fO%;Mpmb>0=+P`;&CZ$(2icp@C&SVbHp*6Y zgKB}P$D=FJjrpE-wJKiQpQT?9V$d42O@=vO4I@}0~+XuXKg2pmfLAp0GH0Qpii1|)3n3dbc+i#a^fjELcofC z&E~fn(<&0!_CE1o+0;;8%^RVuI9Ntv#0f|w2LkTMI1Nnp8j#0L#yXx^)r2-}6^lCr zN+Vcb0-EP5!4!Z_j7>dPRk!=3O-7xz@`QM76?_7P8sUN?w5Ba-hu`dSxvyHY%VV2m zl*i%a;x@g`&*ED>7`+~Ew%!T^28o@Ji(q38Y}+qV_LXip*lKWznf9OuIxyocuAuxK z%<#!^#mIJYmP=j#tHxA>$fRd5PRbQ(f(0tqRA34hfVyed@ctnn1rvj&km6zGj$9?RWgDZShI2;xqp?Y~zvGxENNZC1VXT))g&cQEP2FXa~kYH|+ zEXS1Y{z%03o+*cGs^D5Z$a@2!H2npXLk_}pIH;Nb(2rQSC`_8ijChb$(Qk%0%^QGq zaWbGG2MqSy3rcx~nRs}x7(1GltK5ETK=v-V!s<8qre>$hj?Xc5kmrc?G^3lir6o`d z_=<--2LZIOA!6n0Vtfcdf_y0Jc-(cGm1Tb>2R&R0%u_vFQ`-nD{ube_fN;~G1)~6U z&IP@78hNTuNghfNoJmfJn97Pf0x;6M?5ac zlz-K|wNC^#3O0ItP!QaheQaMoO*Yuv*$D-O3#Nz9KXs~w;UoJd zKwk!Bt>JVhesD)?V6voS#XlJ~OzU{)ZP||U_Ouki#!7)%*y&tDm#i%CFlcV9BMDAQ zkA98jY@^jN&jQNuWSQ}td{2l}tf$TQx*ZC1D*ILt3S-ECu(BdZAJ!Ag=s^$GwxR(X zNJGq-%Z@_#m6W&TfRL2j@ka%w=q*Qxy!P@Q$M9GQEIqvuh189{-SF?y01ykv$AcE2HxsB+`9JOwt(p ztQg_qM=`kwDq1lU&f-J0lD**_dSPl+YuE|a<%9UW(c$zB$gflP9H@+RNB=BJ15R9+ zx-d-|K}?@f_@XI;w)=SI5pWH*Yar_-7pW~!*Dvw(@b)q7NMb^jAjAmCX3w6Y#f~D0 z;D$vM@#r2ilw*H8KwbYuc{$7w69NPVWTHnTD9eNeT}PCAl?UOy9mFDjFBBFem1gzT2Y85p)>4H6eJIEeei=uKNGjk4oQ z%oV+lv&v77Hf9f=KP~FeOD&va(4rAp?9H%52(Q>#zi~w7T=hFoE~bTK=I%3PQK;5D zcW#YJdKo%D^J3+PBunvf`2dnyjn+~#tEGW#EHp$w$5uRoiv$9F=~V$28rN+r0e|>5E|o;zkkp;6edJOCG^SZbLbHIbANSouI?AT}_-*u+1l|0lgpu(e zCn1I}$AXIUIKPUV(gm#;-0ASHcb6dw)eS-Ar@&H<>Kf{iS3$Le-un7zrTFIQpYz9i zBG0e_BA3J_N2(SQTR*`sX009~NW2Wi-NnZ7>hU-~(~2=s_G3NMKM0n0m5`ktFzc-2 zpzUcOPM3rk8xhAyJbVs*WMc5az-kW2|t6>le`G98Zf9jj^tWS*1?N9REbqt-TiD-m zaGfIfIO{qYPfSV<$_Mzr(w-s9`JP4{sz4@7lsU%#LE46&?J^Fqu6x~6Y{H9Lp=84U ze|?C5dHlaT{$C#dFOUD1$N$UY|K;)j^7wyw{J%W@UmpK2kN=m)|I6e5Z^+{zCvBHt zT3$W>I6n-fu4`|Q)e>^(A@t@>z1dOB!IA;Pd!s8o&YIr=0(wArIUqM>_Vr$Z)oxb| z+&#<9M#BiPG~D}n_V7_3ACR^k=gb#;2c>Df_5^0yv+o77_nqnSg0~AaR&25ez(RiG zfDhp9%7c^!sfctcPLZ@3`T78E{(w57@L&~hicux$xSLO~Xb?4y_@n0LubZ_L`6`sAT(ws5+dHCKr^vdgzfg};qcGS_(hT@}aChCxU%XGK)(pUDe z*LwMtr8FH~u{fa0A0Ss;Leu%Z0|rdpq%hK#w=nB}WvqClMdpu&Okv{hN!1iw+4=Be zDV1i#n*n98mq)XzvA^l6cnW~$YU|^Ve)KV`-=r?w+>_S4s7YFyC2kQQvU7*;dS5Wc zbLn8dZ;t9hG9eiR;EmJa+&%0C;nKLO{M3-nPKm+i$#(^}`(AJP^@L4k#ud3ImHF~6 zWZCA0iSi7d+QGa7x+F}CCQCdcZZCtX0*+A-c{u3)9H>GD@qid&u2DZn;mDR9nM=ro zhs8d+#h3n*YHl3pQo5A6bWZ6Db!Z-rV$_*pz{>1x*{QR^+c$o2=G$0JS3|b!6=KIE zWU#bs+6fH=n9%i5&xrh0eC?@2Sco!zIA|v`&6Za|4YR-D)Por4p=~EoR=GSMI+Du; z!CIsfG&;`XxF`9QNW7{P7xI%R{zUl^Xu`GZ!9wedRZ>U0UJBwYTI|lo<;L+ zzwZS{HS&*3H_<%Fje7>NUxI0YL zu-&YuDJ{uX+&kg9-*%h8Y9L{v(2}D!M_)$5Y%|z?W?T`Fl;s02a)`a23m zk=?^y3TT;0rm$3j8x za|uiICMGJ(MyKiOetS0;L4q3R6|PD~vX_}ocmHUL36-HCL#Gz(oEw4?QURnu2G>!T zvB1p@{v9Mk@sw5+@A*}%C7%NlwEst30R{m6r&|edj*55iR=Kd}e^(xu)aQpJh}a`M zoZ^=+DVww_PJdkn(BX3xc*j3`bNA+zb=_y)_WWw6$L!goBqB1FYv5_10%&Q)YOPH8 zT6ho--9L{67WlQ$zI>S>0a+=fMx7O=hKdzjSN?2BKK;0{u_;spX_yOwbm$e# zQ~=?nu#Dy-0%YAihN6Kxh$k0O`cp zf|bwl>yr1B#}x4P2?n0;v=G`2`zP41b&?7mQB7nV+`{|ul;RSAvhZ_j9X7#% zazvQRaO^2(z(X5!8*t~necQsIf7=Cj!QaPl^IlN`-VtENnguE^_78ga{Y6az6c9h)p}^Ul z2w%eAu})xU041tuz(8&;%MBj3QIS)j25h$?!j{rA1x-z1DkqewFaXF1{-^7s0OIWe z%A>LGwJ##@VNX{2Gvo-$&%UT*B3OWlO1P7nn}jHdGO_j4)1QSg?zZG%8#-u~U3xmi zx&ko3Ozl7jDPr`8F^v5;R=`Hl$RqUf)caF)_o$mRbqNMMK(;+l4ExW0XQ{Jg9khrT zT{0+@rgJ|K&w`+uEV-mX2EhIhp2`083K6f+*<2)|+>*9%)u&+G1+T6x(6kBcM<@U` z7+V3fmUnj^%a);g2g}}$8&0HNe!P+DhhzAk?C(5)zd5NUYqw)a$noh45tD#)BN!)^ zNYt|RA1JWeyGcbf!2dJ~fZ>3Ep#Byq{qNuZUkjT5E@TD+dJh0LYixH@(+!^@K84=v z&z*%CRrdBVfpHi>*bGm0H<`qz(RrowmCIivr7Ik#RI;FDt{!k%p+I^-6DScaYWsvX zX7$F1#e=scqmlJ6#6nbImi5705Xu7(&GP6bvCiVSM+n2|c!*SnrniD4T~hau*$H_h zddmln%^^`5KNpd-F5WHyG_m@JxwRSc;4u?b#^MQWU|>SEIN)LpapxdP+QZNgE9$5J%rDMj3%CJ2-H6Xhg}# zho|y@3?Pt(Xt03A4w^qeu50mW1*pqyGOk#?T5`vnMi%C^k!&=V@a|>NQm_oS#tcAk z$sT^?bsH#u5isWO%|8JX6~~^yenGSkZXBXJPA*;61eNa_2!#10!HTYA=078D(IwuV zwP*a<-s>I9o8C=FS>gHu$%9+#12aB!L;p$j7=!~7U0W8vziUv7V7d0tmuYujmfbP= z0DRzVULd#i@VTmQ3QNKWJjolBIbX~-*6>54v7heL7y*lY?oEkhuoB2$WPWAY4!jH) z<`~tckBXSw=YrTJgoLP%we4Q%nez`sr7;`*uOSwvgEV-5KL^&@fN@;;3hL|@8zC+V zpO7MGD}RNOAi-zZ&WVGS&)-`m#QFJNSvdUF#-sYe%oHh_F1s}fDGmOK$b{~Tcng(I z%1c%7n=n9*RJ{v(q~rxJb!7+QsTa{$8l7*-Jz>ApY*G_-D!}&j8ORvb9Kh^y>}Tct zT)0oEfC~>LG? zn~2(Jho9ZNy(%^aR=UvW7` z$>q5W?O6Rm{DEXv5zFf7jF*t{c1iYcH4jXz^pW=0%=a()Mry(<2_%7$r9pyBibNg)w;D^1}Em!h6Gi1D@X{G zipSLK+hMO(p;Ozf3=Wl2IiqY9!s~q(=LbW{Hv%4sYEaL?`Y!4^ED*dbQ_|po8dkmd zid?myJEm{)s|wt0 zr}7^`Jb?8;`L<=lbHuA=-=Zyl^86@GDEx!p9Tte1@jxX$6@OqQN$gdXsp5qJa($4E z|A_Dx!EsagCL~xB!om;YyL4fbq|@c=Ah4c#VTPzar_<<9a(IYLwT)2MqfO;Y!&jyf zVf2OOy+NGxH*U6yofKUJcq{3IN4+d#EJm5M2J;V zRbD*AcWAX7hY0JD+Q}BC;)O^!Y8#gta@2Y=evEqL!>^!B|7=Atc!{5x-?dXtu!hd! z7RX&=w?Dp6W3YUX~*3`bQFfo{U?& zIUvS2W@o03?z&W$GMt?=iDOt0dT!vvkJ;9wRZPG9Ee@1cM~#?g5At{k#rY%qrt~CR zC9%eO`wX4B2#!*4WabtHREgNe6pEN_1N#@j*sj@6^Ohj_xkm9~5!3aZbeTK2*e^zT z`bs&lAdNh15ClbP4hC)u;2B|dPK`KXy+9Ac%oaW-X9Zxx^UYzPSrQ&kdx~b}9>N6% zn+hi%h-l&O1(@MBJq^_U9xV#svL5qjmIX%W9WA#23=XBpg9$%pgR@+T1ZsqYYR?kT zzr&NIC`OntH9P)os3Xu?;QaGn@FEZ8Jd`4@cy{#1}f<&BEVc}ysmXoAruZIpJ;jViIKVg$Xjni4--@ij|>(x4gpFAT7SLVkx`Mi!A+UKwFI(1>bS6c#` zOXnlvg)+1;0P(q{nuW|c+wtAkwTrwAdS^0#sJJYLw!A&XTq$|Js)RZ44-r3^5H)p~ zD=1;4ErmjY=Xhmhy2ijsG~Q%y$ABWxyt0y^;GWM?CsGm`86!G%6ME0DvWZoxwaVK@ zy66KjMRtV8WtNhzcn|`imlu`YpMzmv3^cj^ZC3WpAMkm1LBuwIUe`x6tc`y8=X zl*WJ6tf$~7?Srwmum)iiFh*X63aW+N`tbV)%e3eq!Cc%V5)XmoOmnU>YZ}?{2*wv` z!+owN^%WOa17LY^Lj_TlOB1@I-&jT1U$&LYb;&HQc;5%xY0YqEB z@3(|ym?$or8D!dN;!j$#wx7Eg@gE)Fg*g!VD4veO%w(VZ_+C6T z$GZ1v6qU#F^)N^QABQHK>am!A5&T_$-iW*%pMz|^9YdfdW_)+-=|jI{?RJgp$AlE( zgSrO#t4C2NxAdtF{#Q>dQA$}x&z56i5GT{JK`p)SBB={a%~XuL5%6^TNPW7c*}e$< z#gQd#J9ptMJ(ousBQp3PUHIc=wsB8(Op-q6)!XJ;6mU;lOjMDT@8pUkE!5*tY&kS@ z##k7{4u@e{RNrgI&8DR+HMH}o7I1~e3f%|nEzy%(LX_9yc$f6t%Jo^>(I_HZ(L46;b5;Mlxv6x3OKnFcv|W@&ZMiDJ#qIF)jm( zn?EN#AWPIGw)*dy=-QO$`5fv=BW)cobDBKYXWyrf`%xAeQz2r3DrPwzIsbZZDB0-_ zbPm3IwP}5J(cW{_=b%T*nFsymV`kA%rtfyH3s@vR+|hV%0|O2p65^;|(<) zk6IC-zhvYHr_HoQ@+GGMQ4;M~kUVu8uN%9%6^U1;av)g4Rkrn5TiDY$KZloJuj7dd zE5VwOTea&Llkw-*XeZ7cwfpTOSIi#c3&^K{oB znaVx8nxQC(Z9_fSzfhY7%vPL1+i_JHEU!nDex4fQekep}#E=H|b*k>@)|urTo71)o zt)Z?xQ6fVWsgg^B{6&DM#HlBn z|FbLSLvh499oV~kaR79xIRm~hYyo8~e;5-`%lS!N$wVWGcZu@eBb}Kst$LbdL*(`F zIUvq^xeeo)&N4gsMqj(%k&)G(^qoN*BtM`26EVm3XQ2Zh2^PhawE!5*Dw(|amx%_q zdlvSfVls45@7Fbw?ecZXSQYurkYx0y);?i!YJ$MujsqO{*6SEDRD_8^ z`|`wcSqw8Jxuis}iOXvvC*^(?${*M;6DLcP-%3?7Akjk-z)h9XN|SPvy#=SU^n9xk zxZtQlT!CGC9Uz=jP8FDhXHCDEuNIR|blcWE=h$8uT;sZ6EfraIWRr)&G z4{Nw;mnsa9=-NOwS>&#?$eK-Ke{!Paph^|$C2umjP&o-=pQ5k|2+mb*NX0V?t zk(7VbJfHtgQ8YM5)}lJpk`aH&!hY{m6^81vVU-v%4KwQNz#2XMH(Z zgz=@wpMuZO2&eBxzI>^$u-MrDl_VoQ1Kg(cDNPc$L&{-&;qo0<9ZO{rl>31g(b||P zZf8@3KL8Kzyu(vpiM*=wDa$*q7?5_^UtI&0bilY+U(tWRGLny66jh@BQXCT+;PO|lIs8}FT|886RktKTj^ zf8B3WS|{6GE^R2i_+`a)XarIG0~bpW$v*K|h0_`Z*tGzcZ&a8?tFwUJZgJ2Ov2jd* zGTM5E$`Eo>G~-Ap(7_S%F?-ltZ2hpIlkh$l?G{`J9^1Qp*zqQh?5{O)DG z7SD5`3s`2?mq0XxACu7BRTtKB_BqbCBF6Vt_7mOoPlU0M<2m}|<`CKbqm!0o}T&^ji9 zg?b6iQZ*=bPK3!Oa_uR=QeTDWstRPz&XmV6gwLt%7tNa^#dACb%(#3GQ?N*f0TZ8y zTnIkPhnt^!Ddchf@7PaKzFSh>0D9YhYaT;{ROGFbhJKxR(r@e2^fl#9Y)SXn6xw_zWdGD3-fHK|!j#~3!H0Iz zb=0aNaycha``QJx9wc1SwI~+)EH~D{@Icv!*0Dk&n#z5L*7Mj1j9o|7zI!;~!a12o zXo$Rg?dWZN{?j+78vZWFXNzuuEDUE-`8R~*uk3K?D@NAS@7SA7Mfv6>2c(Pp%FJsw zadGS`a=(p?lrXZy*Sr%Gz6c2*NV|7_zWo$B2b)%!m$i7S5mr!2SPbJc{)2r0Km8i>s$e$nJ&$5<)UtfmXNrmSdN5JLPf=5ezOBV?gW z^6ve{*3~XZS{O=5^>*rco*Yob9!$1&sX!{Ofej+r?I@~0$8%=)>HuXtKJh@DXKPFQ z&w;kvk+BrgWy%? zc+750hRWhFOZPBnU^bWf(Et+##g7xEpn&>M9(Li@&^xE+9djOS(%o93Lt;9#eU{nZ zQ=ln$cYg?q;bO`@500ZwuTn{Fe?mbD;War5(!DSP;+^r|EwNocRXlCB=*HpJUWFdA zbi&)(DnHCH(A9w5nN*iF)XKkjesW7V@c2+B(k=$Z};qb z;7Nmy_S@B6;D*1S=$(Z}tt|-sH;xHwPYJfxy-g`sHtEX}o49}4pR#snH#s>cdlgyK z7sIA}Qqp%uH!XsDEUcM8!Aag&*>^?Fo+tonrwzX(!)Vt|hc$h?c!;F7EO8Zdkk?__ zBV^JWj%5Wzp+-@b-ieBtd<<9kB(CRtA)T=fYy$ly?4voz&8bU!LeJQrzhN09FIyx? zkD}&ghNG>xc~^Kg?Q#mG3z@jUyGD4m%TOE`#ZJTEfBgCFHmv6H^vZEwUGqSmS`59z zL018UdjWSi@}ZmgNs2m>KWe3cs|A zPIY)&a~WJwN|`Gz#h*$A!fe#z%8)TYfmp^f#urUjLDa}d<}c!9*#&QjSxZ?Z)debEa&XBGY&sAriTACW%V84B8^h#B<~)uu zh+7!oVk&T`%D&nVrAw|0F}0%Xx%Dl3;x-9UZTS<~cs%_L@h|D z2QITH4-@lD3u%ydxth`!SS)|!Z8mqwD{iF)lDs685jXm-VZ)A6|(JV3`$Xz77Z2lv`ep zQgAuiVJ4e{MV%@|K$<^^LJxjKIj6#a)=X=s- z8HcuA%l|2%j&Hc1M*fSyq{r>mHthNhpG4M>_z4fb`C9Ff1?1<6X0?4EJ)#C_%4y6c zIrdtH0nB~+V()LZrSpP%l`F*}8U8#nV|^-=E2)b3Rm@`E5Sjy(wEEWJRZECe(+NkX z($HU?iNxRZ7JsP2Z?9bvrH8I2?8QQwPEB#V#{_SPz$*4#BQja(P{FG%Lzuf>v95X8 zD{kfFFLR&nv&h4`K8teeT@S}yibeAc~@ z1_A1{0;?>f!%TDif~!^_kTI>0`F0MElpqwP$XCe_{Usb4WMbuiKIB0!tpHMKUp zup^NS(~#|?$DLVlls-Q@Geb35MFI%@PE(1^Oop%8MNIBMn9lFdAeOVqkIR*A73+;} zdnK5^e$IEJ-xs!yF!}n2U-!3C$%xf~26eSumVJLDTLTS`9<3>Z*p7Qj{tBTSi})J< z5!u6t9(sSfo>Q_#W>m~uSH#GZW5uB&9=W95m|6t>UP^!p^A|x(-GJdsWH45Ln1bxI zHgsz-^e7(TTkLpPLmg1z5{=fPk&5m zhi)|#ZCDd?CeIe0Zc`Vr&0zr74^#_kCFu`-X+NL{XRIkD^%aR#!!Cry*z&E1FN0$} zZFp*9_SCF&Zxn*UHz`Z1TAK&LbV~qUta0fZ(_$sRvtV0Cb^o@}NeL!S4v8*`XU#7Q zZj{w^pVjxW2=2l@Qb8x{s^69eyh?=B&Dr!U@KBJLa?8#$vIaXEOI9*CKZ;wHMtV&E zycj?|b0;}U`u86Gg_)F~IlTmuWOfXza3^zwvQ1IS1teCrp=9^OON6L3$%na_PNISSs>@4TQ z9n4ugO=1{-2ZwdxrCb`{ma#_-UJljeJ91V_m6}I-!xPo09{sL5Kx$%=fj28&Nhw)M zLwHI?#oA&bGy9!XYc>Y#T!> zDnkYu+h(Jzc`=;`5BM}(T};hbA4y^auV~SGWszmE}!Mbh>W71JU_R*vhS&8-xh-sjm0fFwui0$TGm0 z1(;F`n~o2{&$?D|aND1M)L?7yXPuy}ol(k+d9hW&zYT z=-6WJMNpzH%Yl>Zn>7WdiCD6MghM^r;jQxQ)0Q5&Foeqn8a@dI!<YYrHLd3dPu>r|^SQUM%mvFx^|LYPV#b$9 z`eJ;;*^k9I;2pRX zAz~j3Y+W<69mP29Q~G@G*=Jf7wK(&Nm!;^czYS|{6F{4}${wMc-<0kGvBeR{$^HRvOzM_-m%2a`r&CDpmYCtmS3gA#OZ^g=tXWHs}EFRVi^sz z`3Vr#fE`a#-WkC+c2w;-Mz`0_D|xxfr=31VfFxZ0v($Gwc8WKJS+vwOdm1{@TA;Q=f{k zQERTXa=^T<8b?jJu2m~eZ^X&{k0S({UM_gsWB-0~O;mlYkvc2-wlaDjpnTp2CgT`4 zw~}q{s_1}esB)F!*;YV#WnG>NXH=BVUFC4{Qw!(9l8nWkq z2>y(P4tq&3y$9KL|8eWCi3Brd}W{8QY~MLDgcd9}=q;LGOlS{#>1aMgjAlvm3uY@&_Qz z2<{7q(f#9u92tpV1;R8G82zF2E1YP&&j0zhh(bW*0v^Mk5Ch8&TBXZxOp z&D>;ZjQtm#(QLHa6!XVOR|Rsym}%IfjS|NB{vjOUe5b@p3XB(TxGS(SGNHV$tDzdI z2sW{`KvZu}h`-1{h{zB^?^ZTpCOhfxqCD}N9E+6oFc8NfnaT`$-Rp?oUqPrrZB&@E zD7qEga{Hk!vpeg*pE^ob`y?i8pU0Rpe)%!9Y&pjB*Ao2Rs6H|mG{gMXQW=ifU1y2Z z@<6Ecc98}nGY%P`H?YQ27Jq8j<&PdQ%;)1nCGs5zBG2xKWqv{Wi(mnmpO3;U52H9& z+pcW-?n%X@6=~@r+#zRB44Np@@Q#bZ$ z=XE4w{xk4fR{F5&BTjvN3)JmO>kLTAD!*LoIhqKwlNNQfpe!ef;VD zGY{rSc)iYx5c(QWM)hXYEPa?82atSyBHkeNH5{ga+6NP6dsz6Eq7q(hdQ3^XbriX% zhw`y!J&8mdhCjK_4l^W{phB^C1HsvO&=i@C5C(ZP!+=qP6^sdabWwkMR08?TYdb_# zq((hWF>2JIGgYWl~HK@hG zVl0v{QuhVL1JU6gJ=sax0?9y3JgK6+HWKD_cz|79(dC&`Jw3j2<(U_Q`YGaR+irbi z*P-t`>PQIv+kfL&jcV`BXgmR=5f!K+l@AYJ>BYRuZJ-vDc@A-5^LGTff5<+C5UYvX z`)&L#Uty(P7Qf`XxFf&h8*}2HlprDkjz?ksY+?A&BM?zU-Fp#s~qY7a6zStxwcX36K+fX{aMifMUN zlhIppc>*1S*N@}z|3G#epqIdi>9c66q|cR;jg$3JA)+yN6th4e3OnNXBS2Op?7G_u4 zTP|V7oe3h6mZ&gqo1v;Z zXi4VCehm5TAS#4}=$TOhy+jR**8_HR)-a3m?uD9NK7GmJJb-@_-BaxajC>a`G)JZU zqfd=!BukrhQv|xH=GHwF@2W?-PM@OOIH|J8-;=0>u9Og1wN=>{sp@@NO5I)=rcG+{ zyRwMZHsX_is{~k(TJ(~t^2f)g!9lQ?+gPx$%bWaxFc)ee5}i&_fE2-PZXm;GgK}OI z$1y-pQ0U#HKPT72od$D&AhHB4s0w`{5D{?r^wJK5Hh%mIq!x+pCZbG6okBXY|u^z2chku%D93} zheEiEE8n%o!Jv6Uf;=G@&CXV^ICw&Ctipd_Tk}Uu6O@bvckgeU)8D_SSdte4a10(; zYS&%teQwxbF7J?7PICAIx*$8tXFUyd1c|i z6-u-mHF#r1zjtr8`p9a@aO;QT8zQG04vbj-?UL(qo;WXJ?CUXmbY$I?L{Z%0E=|)$ z6z)CP` zSKmnE$!V#3+7SwQ$gbk-ggn?K4yioU|8)JscBk52uYWKqz@-l8*O}L9I&`4a{9S~e zHOHeBH}a4zeqy!Agx(4@L|9B-_A6o>a42`tlsBxCJ~2gfN96*IA2uWOk@jI1qJE$) z3${0A3w~u;j@wj%$riV$yEeN^)>Z3EUk3Oq(Y3|ez`Ni2IiGF5E04e!j2U4~D;9mb z{6sU8LD!1Xf%fS!&G;X-qMGe!egH}A+v*tzuT7mYgp)3HyW0v{2i#3^?_2p)9TvT_fy+z3MZLnMAjRkNfLKTxR^(0Z(IXXVpB6*hP1i4{vI>6nfES3QpYK zJb_yrTyc)L9j3QIn3VUjaOr{h8z8B|+Ut9}kO+$be&<7{o% zr?(gP@z7u6&huYR$0P1smgBzJsvE~|{rnq^5>9^U>tI4c^ds!6Xm9uOa$}l**x1ml3uWl)#g|R#gg8+z-2f z`98m}TV8H40nv3XmO<^Nk7UnS^x#|mpM6gwZjezbxS4kWd7J%nP`aoTKO_3KRL*@2 ziE;@qPxFZ#&xbO;mArpn6O+ZL&0<1V3~L&)3OUzl#A}O5$KfenAbO5o%y|?3zU);I zWP%{xyQ=ajv%yp=1dQLQycythXQmZ1*ikee2o&_Yxo_I38M|F0$}ao3SR(BY^igtST{ypK;L zI8T&;)maknkJQft{vS)XldmE1WbU?&^}X_Uso})qiNZ@5+9u8nQY`EScBd)lcP`KV zcQ`iFtEx)7labFqe)M_Cj>gMVT>aU#=QK}YS%?kTZ-qNeg*3di6XN`+GS!F#fLAx{ zPawzlC5GbKm7BgK!N0k8rOdzEoo!rtO7qi=`MNo2ivQp|hxjWd6#0rj>J%rMxKIY- zo2|L>VzcrHKW3IA{Ao@Yml);OdF8U&(d65iJ^YGU@cHk?`4a_%ZMWQDmCsBwh!i@r zD zuZlEE_*stMZkh%f?Js`p!ITfO?R&8Da#_o{ta}VjeviT~XH^u$i686#2<_qmcZ9AU z<1c8n8tr{Xr=C*p#mby}fLK>QI!#khi~4=YOgdfgCztLasJ{Pay$zm5WO^*;3>-uS zR9jv|lCmW!3!5>+dLuAP1jLOoTjLz)&62-byV+igyupK<2)IU%mkznf|Mbpx z$Q3+ASEehKbCcyyI6BruUmQPna0JdmRT?T)70eX+UT`wbm`-zMpBZB){DzfVk9)Co zar7b|@j_>~yx!%UkvDk{Gp1mH58c&x7Ah*=(_87=3)$bZP{VeFexmJfPScD4wsgw6 zpZ^?6Y)lU74lq2A&fBmhIZt_e`6o7&+JUpd;3#kr?Dc$FD)p{QN*F~2PZ`| zz3>w6NYlzN5ZZ`l+ttFoXVERMQRw4cI0g@`_}uu7O5V%yL<(>N{`_`GHPaf-uZ?Em z@N=Gpr;JhsPv!S5ujGVLQthw)SD;YQXoxXoN9I!|nbonR%Mr9IIN<=wQ8{D5sryDv zD|BI4xU~D7gG=8v0x30Coqv1g?fG(h5Iv0az{TJUeuQ!LKJ_r~u;LxICc4lW=6}7{ zHNha-CjH5vu=6(^$`x789@Ybl(r;Zk_w=q>IvZ^94t#NHEEquLTpzdngu|xLL1Ct; zx|T+&wyd|}2(At;#Hp)hNSS|?{hiF85l+LP2q2Wa;gch}yz)7}m7N5tVd5tRsjB>j zAAA|o7NNNuX`2u5nC8km@jYl9cyN`jkrYFmzT#JnT?1!Pd<9=83$pb#s&0Q)wS2Et zXk}4q{Un}JpU*TmYP!*lwa9|*;W4kzs+86v9i7AEaUE3|y{t7k>S>~NhGEvazenW0 zMwYs)`c&@19;rs10QVkQ6T{kgOXww_bj{hGk&4D@-d1>Zf~f_xVD9L(zK;A`SrAvx zOt^}wr1dkt2}d1P6rSs`*nvyjaW1w@Mp`GrN6G259T&xhP14$xS!RH!K%}ZyQ=(=1 zQ24OCH~RL+K%?0!YX6%z;ST=)`oc8DTwez15tW$Z-BOyrNlLA9fvFt0QLP6#*!s^ z8O?QZcR>zc`<|xa13WAf_&2OxO2efJJ0|#~pSrAZ1%VkmYfT~@!?DI0t(iJq%}+IOr0SQI-h30DYi&$_ z-OJaPRD&iVaj<+TF<$I}fPjG|3QFfn;r^IJV7@-s&*r?u(<<#;bq_WA9;Fxa4S;AkMbcl*m1@OB;`!H4 zxfFNvd&v~7vzc$0DcW;hZt9!s@i5xC%6upoe{E)GPS>;|1fk;ru6Jehw_M>#`LGy5 zBtkTa@Eu&T!OyqrR7!>)g1JVE@#`-rX=3m56sist)jXF49r!O-voJAH-8Lz8T`>K-`K*NkW{tBf`RB@)4~WQio@R`#8}Zt z0l)92n&)G_5{jYrw(*>Mbrv@^PSGR{KjC^$xmax_mU(#~%6C@`88`tRj5-^Kf>wCS z<&xiFJBT=Xs@d3yix^`^k{^Hc!iZ?Gz%#zol<^HQDrlFOT6}SICTCPc(=<7C{lM;D z)vZAiT@Wx+Z_9neOgy6ek(>XWf|E%uPzrT~>GDOVUHg3#1`~&AWyvGl(ib5b)DUi=7l~zBF~OiTPlOJ!J>>T?h`Q@| z&tq_(esIO5OrK$G_-wHn9-6dgu2b?_;>a$Pk^ep#vEQjdhch~UnsiZq(TJYz^pcZJ zy^Q3X$$aW3rabzjeKcPdaOOh`XJWhY*+{@5TE^j}T@bN{%4N=T7X!EEhS`gVgm!{H zMY_^q_uMpV_n(frSEP2AWB7!@6G~vYj}0;m-e%Gj-|5K_uUN4oAsMI(Y^>p9J4xxzeo#2Adodh0KgwYuaNM zf<9dh&(E<9_bQHe4=g1_*A%SZn>qXj6=8`G)tCcn7n6yW2-<%pg%N9hdSUj4LfNQk zQpdu)m{?`c9XFcdG~h%s6-AGqF@?q-3>P%SoA+~?!}%(DgwRctd1Wf97ghPrGsvzh z!0NQjM_6is?;^a_J3KV(gkw72;Y7zuiE59rG_FRdtD(k)JdI%jl^v3n13TwWY+V$y z>m=WxPaatohy=}`fbSCQBhVR0Vg{0Hu-}?c*HSlC6wV+2pgT}b48_wC#%VGu`3b>sMxx_ zU#yN)ff4O!=8?xEYnqjOB?6tSgbAQHBV9Bdn4U z2Z)EuxE^P;+dvtJt;7uL_k3U9&S~speABSE^y{6|_||VjPx)Ys_}h9W`PhZ>#~Z7u zEmHF6e?=l9!dBJKzl3wXK2_j)2gO~ElVHum^dx@$*&6HF_Rh!P2vbw(xZ4M%ufV5a zz1~%Z%3QEHJ#vSk*&oh`N4AaIy9lLpr+sriSxRA8fe8taEK*rhE}7cEl3f;TBz3P zFkFi~Me|*>II3v$`gF!fRbD<$OIqtl<9IJdU~-WvtdB%J%qdqhNMtyu_L^p4S$S2w zH`+4aux(Z*e6TV**hwuEl(S!Vk638+gpyOzC@|WZ+q8H7){KO@^um}TXX(=83Y@6Y zs765>4@~l)iw{|rVVc+5Tl_k8G=S?1G^S~H_k}dt9RU{Oq?>+d$L`x*%bKqrrg@wy z>!ohag7!>vD=h{ZlJ#inVGKnK;{)_2oUU>zhK-!c);jXK^gv_x=Ar=x$dY(MziV;F z^3Sp-2C0KeN2}dU?Y8g;@NqV$em!|wK4*RSuSD?|Hf&>r%Sa+^*v|NK8k!$iuCGx) z5eox-H2m%|R0vAPcJ9)FXesCU*o~O|SyP{5w8pnqa(&9!b5Y85^Diu4Jj2Nl=7u6{ zAPi-a2rKgRH;!llLAwRFVf($yCLO z`=QAdcfap5OJN@|idypbp5d%JxyiJyM!QOM z0Rm)1Uz%W=DcX(#9)DpgVv(^zWn&IiR~^n|!-zPg6={MuL8olt(^%28-^pm)nN*wq z%M8?nNVN5tf75hEQx!2SL+8u$=x>bPH#{1oYDd;+m7`KsJXe`Pvw8S4AF0a0$mAWC zx647Y`f@p{g_m=CZ5nAg`EFxjxd&tn?Gr^S|09?FlzR({=%+(kxIT(KNd{9!UZiOr zbecS)=46YOH1OmGJ+O#|D!u%k0 zQTJd&k(_wMme1H~IqE?_z`!aVP5*P3CVB?skeRjn{NU#V^MV)6V-u)eG01RmNKyc11@L@iOx90sl6^kttC z<@q9F%~a>#v-3z1{#Km&0r+Mg`acyoDF#C&TZCkfzalDel({`!jo!;`l=5Cl;9#Kp zyXd0VsO6*YTVKjvlWGDn-@dZbt#ka<7uWEgnOTFXoRz}%gh!~ogdXrSbo!u%9!4;X zBC0pfwpXX<`=>>b&p-zm-QVn*Z1sj(*z@buE%{lrxEed7eOz zv-~>~vTkGpHgN zU7S|cvpml#Q{+v=+|RXvRDV0;x`8tlVW5IKSK^ygk zos)!efCE1$pWdlJpXKx)YlAsO)o$W1FfbK;C-$h2Rf<%TJ{rR7Tt%0B4_yy-Ex-;PW5-M zc-x1c!>E2}uSBQ;v(X|9aL@p@HMT(ROi1dI8?3lT_pH3YMlL(7TJ6nK{(D2{yE!E^ z9?-5!t_Kol22^=FnqbdxXj71c;1We(=gaW#YTNn`kiY<%1}-uM`tLe~Mw96{IE2&B z(Q#yH2>bqP!_6OXCA=fRfMvC*Rt%HOfc}z zsdV4CQnl5j&~-&pf(*4YLQECmJ#`odTOzLIXaN@tu#ZNt>u5AfoHIc^&%DC`8lW zZmy5hMBb)Gg&8?+nec5ws~Bn)(blbLHF*ADzya0>{qpEnSCn6>s@vcRWutD$E@wBN zfvS@C!D2pI9vDbH%UX65nV!zw!kX=q>x8?q)t~hE5p~YT=s2q=<6I5~=={NhSB1a7 z4_SnH=PJCC^8SEgmL^ocist#0_YM1=0Sr9jF9vK%Exc;>;T4D3vMYXNq0s;)sgn2b zg0NPnGyOq8fP4F(pk!|kACW_73AUEMtxColvxWsr_Cxpe?t~={2tfFf6yV{$eb7lz z8`lwG2e%pt5=VZWZ()}*mb>cKq67irt!BN_xBG!1EUj@>P_4S6gr@(SEiH~@D~Z{H zFyLL<7S<#%jk`u9%#Yn?ZR*KkN>Fmz5IEUgB+ETCf(`~O3^}X*XzF==UC~WQKd)g$DNx?uX zoUus3js2{v;D9mz-WyQ~B4O~x(wAAALi$iQt!j8MVDlW8c3h84U%Vr5$H$n)a}vCE zhFO$UNGZGFz;K2Qkw-BZ8~g7o(Fz$`aYRZ={pt)@UQAKe_HESqt0}nLZz*7CK$nAO z>7*7sKt^$VHm$@KKz@6%Q2-t1=KTlgZmBOUfkpy);L)e1TxkRQz8}R?QhV$t?Bffd zNqo&{FNaERu-an*15NiB;bjcOn*OJ{XN1RnGg9%m)FRJ+&uYb-N5wy^(SZR$;=5%o zF-_E?+lHCNNR^|B_nvHT1-v-3pVcs9^Th4J__*o*k)F6Dmb#Bi=qxU~R zSB}nCPJCs-00XQ9ux%(b&AF{!q%TxN3VxLBuZ!^t6=a&lG-I8|c*1z&AK>H&%`Z106)V@G=tLbARZ(#;cruyab(=vtZxTV*1MJwgMln*+ygWMEFsPex;DNxE&WbfwSj;I%$Vgc75zX; zR|JUML-y9~QTuT-WbUcMmx36;pgLKUng<$lGf{uiT1IO+Xbd2);$#AE@yb1`*b2YK zafR8qBLI%{05fSJ=J|razBd#iGmV7%pd+LSMuzX?9^uf$g%o?_tTpe{Y8=k60S!zL z%}9*z!P>66B1Dg(@z+f?L*e_2J%Md1&z0AlF7!M&c&ZJm z;&(lzD#~!?1=ravateA?OpG%U6_4ZRaddEt8y*U=e*832+VUGoxAyEAw-wLIv1HBpagTLts3;Xk|aZ3;5~nR zG&$rA)8Z^dp>+hd99eNIw2l zob&S9vZKY=rq)&og7A=`^JY7nWHBF=w*za~5a z@fNePA3K^QX(!{Nc^#yMe6n}fD>Wej0cZ}*oD0uo7Qwj!7Qg|9}-H2C^EJe?? zG#NmEB3mLX^A`azDjR%QC5e8Y3Y~CwHcf7%{yU3#)GR;9TeiPdZHGO5{Z(e#;YLANoWDaK)!l3fPP%_o>V+?iq! z@C!|gDHOitb^wXrl{QX4X9YTX4dbxEJ~2VZT$(U48wB8WN3*b)#h%a%>W2ohc=9@O zRP%i^gi_?R3l1d<)eHv#y-EYqE5$j)){ZraDej7;zZK9~Gr9f0aY=556Cd3`o?+_& zN?f<`&Maa1n@AeOiYveu5FPh(f5^w(MSAFMkO%}A#(D-0+VJ4{db4VTF_5r!ou2Bs zb-T0qeYUN4(anNr-?}OD7xm{4Ap}KUl+r`{(Ib>457AytWiukOI5G`ne?WkmJcZ|M zn@K1rMss%@_}wjH7a-r`kEDE5m*R=r#UBNcdJCu5&CdhOv%{j+-u}qY{VA2p>13%c z0X$8!E%ZHKq+Y-`0HDNrI!tnsSIaFnnbFeSy@Dr^5mcS2%KV{Y#S_5rWF23 zVk12)Y!EPPaXu9Y6PKfz^TAC2@60_`z6qkdplB5*M)O{;@xN=scBx@H5|3+a}$@DA|YOOgx{=P@F0V z)EgC&pQ28TC>D$r#i0`g4624Y^NdA91f|+PWr5E=A*{( z1?+YSHDaZO(}^ja&rBcy-6{YJQDmb16CuS*l~7}eVK=_dNWK)sgp)y_%R?+g9`PZ8 zKbKP?f1p|B1&#fQBT}wKn>OYX#hNdVnus_Ef%vgwohECIn6(NY_0xz$oY#U}Fwy5x zhCwv9ZK>Jf&VWdW?XQw}ZU^akQ5W;^2nPgiI;uO+sLzn{DSFq;Eh^L!f&g4Hu!T|8 zhcyRnFjnP=OzR1|l>84A`Zfu8ZxQu!pcDi=<$3uCpW2ni7vM8d+@uI!{OoPld~A8s z@wqi=ayCc>0XjR(l`fvt-MX!GDjWl;wQ6n=mWN-CjhFqfX}eOanO<37);HYO>{&Lg-Sl z@Z}BYL6D>^&!x%TD4TSrZF~}w_tB%3=Ag_yxrOU#Ho{z`4)PYqAOA{3IrvzR*4yai zmp4`mOUqCaHGPa;M`#I2P39s%0DQkGTD+V6MJp5!E3QYFV(CZ9snWWRyz6^8qpFR$q6X3C0OFH3 zMrtwn3`+sylT5VsLI#)N*f_P#)IW~2ZHv_EMkjC}fC0)sb-v}s;y_8wC}&4uvEBog zwDO6M5uaC3bi{Fi3;79_q%!tPQ2O1IHT^t}+0@yBqZ$e(bKmzpHh^61f|>cxjxR6&@pyYC}+ zv!mQ<9Nx-q)f;^eF?ao0_ZSwLoKxXB1gA`16s+?j_jX8Yi6-l2<;KIQ2a3bR(Jr-D z|Ik&mxFPFERT}vYv{w-zPR7- z!22WCA+3KS$bMfAzYugy?6DhQBL)G&6sqdMnKo1R9hN@?w{@-uNxb&&3o!-l?M)3> z^DxmtK<##E0;=WCv3^N!xp0nUkpVUh_0G#u;c`)P-zCczKS-Rbn^V3wW?P1U|m1zzDZC>)+}`iv_kw?=^tIbr#ksK=o`iFzI}8a$-YHV5cuTzjd6avRZd4#!rIK-&S)yAWsg-a4uV2ZMlxb}(fQ4sZMG@fFub|_ z&{(sbyl05W35-zjwmF15xN!muD$`$ZCU1`iSI79}n)yS!_E5Jt4AR0yp$Xe^Aa?uZ zfN7=bsF<{0jfmunK$}*YKOg`3k7IWH8Co(VV-N&m&TGFKb2~`1Ba-7j;;KLyCN++g zaBbv@v&~ak)aygy?av5@St0gmnB3z=BBsC?9oOGMYFGq{ts1<7al}WTAnOngLlb|B zYi!Zy*VA&O*>qEYt+y@KToPcyoCLxcL?JkZn))H#=^Vv;XXMnxbOo#LZ7sBS!j3?} z5+`VJvJ2#nRu(vMK}b2_SwwVIeA{n=6PA>|>#H zc6BnIY}Cn8GfyzOO4w$0QlM83i9p~dlvIQ5UrT?S?wX_!XEv4tV_DbGf>w4jIaOdi zlR*Hxx6si1{{0>FJ=Tn!6Ta;3QxW$(&CmUR;wPiizyjnM`8x#fry^#jO?J<>%S*J3 zF^D_P!~Y}(ce=TzdNd0l+;WbM-}1~o$^J~Q4Sw`*-=90Ix}zz-@H+*U+KBT+|hn=`IQT|hL^-YH6+i~kOA=P(?Wxx1gTTXxYA*5y65K$ILl zSSJOs@N$F@a}&_ZLD+@hTkj@Ubs9>z+YglO_Rwy2x_+)Igt_9B%k|ZAe%CU`cKYxKCv2u7uHKo~? zaKks|4^!j%U>fJrN4=01C8Q;1cB!uFCUOvPx`O@Op02sn`Kxon#l$mppX#w=z_OA) z1(Vj+7_J+_wRgU7JL9(4x3eapQ>ZvG{%MIJ#abTh$?ubk)~Et1SwTSaoF?Bm2dW*@ zt0=Mx^=qS5sWp^S@A0h9>msHRq926ANV&}EH$1|8W_!|GkbYM#!T0-i8=;N*eNf@B zgqth`1B57kr3+^BXiroAXtf67I+so8+?1`{CK7aYe(sww?Eo@3LRNdwb$!AMYB z*e)Da?s4WpSjJ!G|ze_TB;H(_=h) zpXi=^b0y@EAQB_oJ+l^RMy&|3xq#t?i6hev%o zaDP=a*M>394Y~{I`21<|;E#aSHkL`m0|6pd=DX^_i^S*!hF=vwkrbniN}p#3sMb;4 zvV)5H@*sSDfzwrX)$p&A>}?>MUP$}j0}DHi{jCF$+Sv*mTcaoly9f>%p&%p){(z}o zzfVYyluO?gwNh$W#StoMt?8r}O#_kGZ|2NwGm*57H6-Kr1$?$?1y>R43g}60@`sR- zPH9>Y(CHmF5#x5J`>P!xrYMw=;#yh=J%P^oj(p?gz>>2FVz-UAO?dTUf3;uO5dB{% zK9hco44y%yX^Vq*{)9S(-w45abI{izWdr&jw~E8_e?7fTL78bkiUdb55bWc0n)T%% zd6fO;o%^Al>j}=LnZd>cpT&GMeuA22XP=YQM1aCLTOkN2FXkx}A(u#vU?B2W=lCdR zvZeiHyXcpc{zuqp*SL1bN{{gqZnr*F_aF7Au&oN&@MtVK7f9}tY9g9i6(2n?LE?)o zRN#>-O#opN#V`8Db3*i=I``4Ns90h|_?k7p#fTviOX7z4$oV|5ey+r`@tKWpX=@;%!m73DiGjgHv~X+)p2B?rcUsUp+70gJtHNbiO!*TOwv*WD?k`qwPX@4 zEr%{R@3NI50;TYqBF9*w#^IttmlygP$(8|xT||0t`wSarW0b=y#`;@SMvrcr+j1^FBn@Fp_(##eaZpTT)MD~sTsJ%tfWvT;%>qZjLGu0f zXil8QJr$?^PtNMycn;||u0!xN)CG`v+u3V*q;#@LQm zdP^J<@Suc;x1eF>7llAc&M5JwJfQBa-pz{=F}%SehATjfjRa^1p@#^;RCa&8u09xW zQ62oOOVvEL4b`yHG^AJaP{@P?I58rs@RQ&Q;?0NtP1*Lb`NDSb0OVB{L&l|%Mp{aT zApyTXwKG{f*E=}aew||j6~j~3_;G^)3K1tq;Z}tVCpwyqTyfOZ&bj8h7>Bx_+d4j$Nu7HuOyejQmEN zbpuU7ve3Vtoh^yWy}!J~deRqJyR~$6pb*F>K_dg5Rmi5q>ylP2xR+~NPRrqjbmb`3 zV{1YYRz81?BQPOM37mNy8TB{imqi{0Yn?LncILg4rn}^m0S)Negdey3imwkZ+D)nhlK(0zIru(%nHrM(h4xwF5S0 zN?RExJ%b@gPAIYlA1ZTNX4nJjSZNQ_-=|0jk2+4k3$>%U=-bxChh*YK)=S&u#l1n2 zol`@cC3ibt#Koe-ekFB>+76D-E3iYVUrB-2O+CP~(+t@<)AZ5EUMxvVakI-NYOkmG z)7P3iXb^y^@ksAw81C9rP0?rc)hJ+qq!y#mLC|k+D?5W;@bMQ2NHpA3zI?KncKy^c1plU?;dW3lGuN=iKQ2mEM)OfLKp{Z4{>ukN3;K z_n<)25zmiF()7I_T`sls;2nbK2!2rU1@~&U7*8K$RkL7JR z>vT#%&*ekCxx#a1rAuhxiWo@M5qVBGE$QT$c%zrv5H(!Jr-C)Q$o*c_2b~+ znAVpHZpSnixi1KS_=|o-C|H06Dv24I67`3X>^~JkS_dYqp|P)5@63(!QQwnP?2=+( zf!z+#dIhexzz2%-S#KFxNd;;)`*j`OVgmx-` zB}C=YvOE|r=or8>(etveS#^)nj^}G-e;?94GDa2=N~N1i4YBT4_!>6w(Vq&PQT_sl zKUj~c-|SwM*P`E@HGsZF1h}znqqwdPZ!+DM?76Ras^fS*=4gis4Il$vLFtREs}G3_TAS!Z zOt^5vCvkhHb-JynUIXRKX^e3HA6pOkeW_7>=8bmJ&Al>F-tYTImKrX@r$2Cc`K@J6 z5B4_J_I;baV&!3-a{phRC=ZRf#EDS1o!#|#!Pd^@DN)K^;}cZ2URhZU>4gzegM3xaqq>BjJ8_`yMQY$mq$p*vZ)X@-~e6pl21-8BhD* z;z~N21~S#s!&;s+e}g7lf!!>sFP1HHBGe@k6JTs6+gb2kwo-+)GhUc>u^#$~@Qd9V zeym#x8s*duQ_c(vcIqs4m$UyBzE3{Q{jHHh2aqL3mHamB$ z>~jDLLQYIMh2^$gXnIUC3x&qaC{;(lWADK18v@&+Ks~QH2&8J_eSuY%pC(he`-4F8 zyqfVt&-dG3%n8t;I~0bWq5Kz1Eo?lA%L;2C1Bba&mUJ0Q8fU(p?0tHUK1<74rk_0d zeEU}XwM%?F!tBupiW17_fC_epf3~}&EB=be3;Q0PBPxdD*)~U(7>d5{n}(YY!I3CSOu8c^3)fn<{U`{h={*^TTX(QEe!L%_izVUi zP)vm$a4@6gsa2;746b0!!u+Wr^H;8W7oK^wvzw)TKdeY;hsJxH7$%9rno$T^<5}Z@ zA33qguTYX@v3e2T5EC+y+7@~7d^A`*$*{tgU^%W)bKYWa<<4w-;is(Qb@n(o(xCT~?PG4AplT_1bp{C5C)aFH z#s?BIa9<0WU-G`MYdX0|O)z+eTjhT~ZK257vOL-UUG5?H4TIP%s6+ZIGck;QfJm>A za$+KeFSrTEPGNOA*YN!#I;jyC5>;q^s>xZQd@&w=DrX>*?x zNRkb8LkU!$N$}UeEu^DMdXDx&_mZw7I?+f(GUIN+fC!p=8A@W`d6P#y_#C33FVJVp z-Hjh`RbsH+;Xga)lMS2XKBr7}56z74w4TPtmbTIruY?XxE{y}Mu+1Z#xXjD=R%ZNS z(HMv1_7edS?2_3zjpgF=6B})x@Uz&{yJ2P=Jd#8V906CsxF~Y?8tR)m>V@Yfy-SB7 z#A+*|wHRmf=ob3UvvY4%OPRD}^Vy*uqa@pNa>#u`AQ!!rMRm+wa~$K6HVvq{#V?x6 zu&O9}ejRD&C@=Oqcz4m&n2WLzDa#K_Y(F%G&BM_aO{&{$VsJO!tKu`{~wgr2MxH8ZLY1$2uw86_G`d4g)vVdHNrJ#=}(n+HBw_^0Gf{ zGA=55{59WPh|$?~g|7C*eW;+k^R`@L^eSZ`7vPvV{eXe_3Rj|irUF&FKG(X2LjOo; zUO1(u9?=>8exT*>oi6Psdrq`A@d}~?+wk|otYgI}s&JPhWCltq-QenRMjF%2QMJzn zC#H-N!sv7pOvw&-|M(X#OOn`?+eBy;+YohQqgT&sjAN;l@e&TaYgz-eeGGp*e|-XUNLk55V1CkSDcG^bSZrxNmf@&~cc2W$NgF%3+$m18PqsOvZiU;0jA|;#B znM7J{9S_7H16X8W7I~UnV+YaM`bBw_ysFS+}I3*$K%t%>-G%!YVx6OKCb#}DGXt1wij&kWq z?UZ{eH%^FP%-G`z3R*naQ*;=j(TnMQa9swdHPvrT&pAWTGfwJ8S1$H5GfTm=lU^|$t;k6 zQS6qZN0f3lj(^;?p4Fk=tcS50H;AsGCYr~FSj9p`$Qx!t2FBPh z4r@g}(#!PxpuP&l5k3o+I9c5_rhV+)yhAU83SNo5`e_EYN@zK(&wp_|$M5J9bq$L|%jNyFP zYMqc($!~rz=g6oPb4T9KH&3yW8p}mc*4B9Ji;*>Ucdk4<7^Wy0cyC< z!#y3(*loSaR!)n?#~hu{YIT|+9#)%~zpZADv~tlObuwsrxkFlI<-W&H>HdF4(v z1UvRehkK*;jasMZVsYsH2Wdc-ze_r8xzZMKKb|aPSNpk93$WMwe0>I z3BO-uBj%oxT|&!GEHS?*+M7n-piCe_^Ax7XHBBs1$QvYFk3Wr zve}A_Zh}LfTEzhc524?=kd!@8_o0l45z4?s`(9Q#%b#go8Wy&L0)VQrvP7O9Yn49z zuz({xDZnlE!l3foLyjOsm5S!_deg)~Hrg1V-i~wv3L{aCR)X01 zI{e?wk7X1sI4J4W3nLat5=wI|+4zmfDw3++VsS8Ept=v>x3#3Mso#xi=bf=60578^ zJTdN@`7k~Nw7Y_bV4`1B1YJnZk9tbmjl8OpBpF#eO{bmakn&*&d-E>x>I0_*rPHST z;!}K3wM&7xE}RqOb~8v0Q8F`+u`AI~Wm)`9gxe1-Q_GGb!Sx%36}IdACL?D<027L) zG4_xCq{CED3vVGDJf^Djx2+#55c~*O?-AU$A5v4(ZG*D2uMG2@&};eFZ!_Xi*$OU3 zDVAifFMK>@WKb1nRbtus@mrvAyRdEpN#AI>XqxUQFH46YmC~O(c`{T@o>%WG4)3** z(&Wrg#U!GjNbWkA7N}q*g4v9zhjK*;7Zehk)ZG89pAIi%LbX5`f~*z~1+YA>!ZW$0 zAx`RjgDI;ZD$xZe1cKiT_S1G@$M6?m5T9LZ9L-$3(r7AR&SNUEc&?sjsGwC<^Wx!* z2LwYTBnUMeod7?36MnHc5{)1+JV!&tnLDFZ@~E4FIhlvQDehQO6hskx{5T~09?>Wj zi^4I%c~ly$_#RF=^-degDV8RG+QEXjI0m@OUw&7ftB&B zC7a-x8J)kigzy~4$T*rOaF33=+MA6tQ7G2vt)=72hkpaoNT^yNi^`_elp_8aunG2wVKr>&gFW-A$ zNzyk0Q)TVnKEj`O>jVLn{xe`cnH3%z)9**Tk9dlx(j7fP; zjCl1l$|o`4F+gR_zr>u|t;{Op9Ame|tQ6X6#T=TCz_lU|k(#!2MOjM>kW<_RKV16K zm{J1q4tlK!ykNVk^X|9h|CDbGQ2(n3W+fBFo+`o z8SFtd7)5g%rSxNRZxlqVCCop~M3*v{5wq@oeL7FgT!@D@vrd0Oy`ijwhap-U2i?#8 z83%P72HyBPp<}nQpd0?hbUI0N>ljQ!c2Y~vVn5-?CtDZ`2_M!f{C>& zqb*sk{|P7Fvj7t@ZT3o3CFkRg17&;J`hS31y#NCAC9jJOsdzg>Z=EI5%Zbuw1s0yV zEi{9Q+}fJ3q_hw6MVr-H*VaHKryv1(!Y;wO7ulwo4a0Jl!HITdQ*oIHTBm6vW=Or{ zLIdQ9d+vj$EapB+rmg6)$L`o(7c2x9Mgfk&G53lp`CLZAbd5n<6xRD#U?&Qx!mYLL zl&rSrhwXNYv+0f*J5gh_?Jzad7!}!DfY<%6tDoPhpn`*8p?Rc0z;K7+dpCkm4FB1# z1%(T*gZ#&>caxT;XIj}}b5p6jzD?Lo7L!f?X^bvFE4PJGwFi7LmyG#S7eVs3kMd|C1l8>WD60&LZsQLyo{B-Qb0wB*QdSz5< zY$Kh#qz1Wne`#`%bRFRZEKL-fcTIs`8O3YSmVi!u>cN#Z<(hGn>#-liWZ6TmF5H3( zxcLBc0{xRT?n4EN{G_?qG#t7`F#;IPyzE1Bwq z7QxUnQcsJth9<`xZ=BErAPKvvY--9N%Lm@(CS|1QdHe^hPer+u@`)NKvv#p$|1;BB ze=f*Z7@32TCsaraI%p+XsqwX3DjRaPkFwK$2Wro@pm>OKpFu4l6bp)12_Os6={B`X zd_@X=j=VMS&HN2Z#472TqWWdS4cL|PdE{IW%lnYHPoA(gJN8DPL+5oyXOY2Hu?YtFqn)PrOFwSJ&n)DUYxrm-e3 zDENY@06cueqZgBPLsuHFDGxP0pA>&i;h)!$az^T_h#^Kx4M5$AEmVp0!qvRfV;7tj z@*P-O)eemZYBO4Z3vlJB9zhbP>FnA@k5;#HGn!1+`E=YXOEH|;RczWx4Gka52%zRq z+q}LY*mA@<5P7Bp9Y6TZ5NlnlW)}H6 zhLeQq?ZaGf6%PqR$s@IKDF_s!u0)3GpN(FfbY%9TwB3yHln6#y4Eh;o=8aHPak@7T z7aE)ZXqNs-p-0%ifjnGd2qY^TFl_3DoycB{Ae@Kvz-OU;CzgYNi^%{lejH+s zhl?w!+EYHh}!q zaaO-w0aO+Gq-pk!KU@JazY4O%^!4cr-n;_LoHM8iUE$?y7UgL1Ge_ve#YI#+*@o}G z+xqUB=lBc68Z~ep)1C&hglT@F9-ZQx>FM73Gnu(#<`^ zuziDAI`g2=2o@^T>O=wJPpbDj3Jh@?0G`H?x@;RR zwTc2DO`~wv%3+*gE8yAp7z_hAob_)%mk_nW{=!+|dl#6RV>I7Z2>jH4Semb6*LM3j zFu5C7?7jxPR!SMepwtbMTTX*=jr5Su##tZ=tadCp13Sb?CSTN+ZrnRlkOhksEEAgD#+M=Od;;<=PohcxSV%FiEggyEYc7{hBODf|iX6MXRPBMC-h zPo>ch&Dlcgeexx;7OvSM2WPazQON(@2$xk|PfwH-wENB+;FgFFdFS2SU_%?5c0?2z zHp>WI1coX*uSN3#im4q_ssm(}R~Q7bm;kQ+*<_ z<`AT8=#4NxpeJJ?&#niCCSaNK)n@ID%uojSwBJcaV~>uYR(xOz+rA`Gk<8rt1vr_A z+)5D&HI|ZEN1)Y6x9vX%WIb2(Br}k;8%fg=F85l}kco&YqcpYhDlamGI!3`YmxDyX zqLSUhrQit95XXm7HkBQ5T>Gz;j0VS|s=hG{j&*30&`~sI4f1oRn&OQ#~{z;ZOIbp-n>(+yf_nKK5tkZm`(D0cwp z8?FM3z}w55yTTrg?#&ZuVm^bD+El0{*{hCXwRW?gwB%TUOErj7yWkW`bZZ$wv#mBOOIK6Kv-&7sl7A z%T{A%%~tTh(*`^~xrGH4`?|_X9=H(kBa<-yV1p~+m&VWPt;Zs&K&)AHDdAOg$Q|Y( zViv_Q02=yaR$WPPStCN+go{{wHSTv0D>Bpcjbe+@?y;B{6s>35V2O3X60HmCVu>z5 zGbi!%d^uPr?!$gvCW%Z_EWfwd_6puQ_U%Cd0B6S=wWPWl_lo!vX-=*99deXJCVbOh zS1xryQuY&u?=fSpKNp?=4Fo1EEzs7Hq3@MN5H2sRG~}I3E;bRNfk&dK%pajkQCFDE zyfX+_NT0v#CaWgK?K|wBcm}jxq}EvoW)LMuz)Dl3e8MShmyfE*2SPZO6O0 zY!pxJ5<+%#HQFs9t4gMim7PAESv3pjp1t;j-69;dVQ7fchp71bUWc$gj)DS!@Z~5TObu zDJF502@iWGT$5XpyUOcgSX-N{if&TixpbTv6^O0@3$LR`eo^}g74@%6 zADXc#p3^ofHXc^{Ppco&SB>7NFK!vq20AaHjWkX@KurDjoJ5s3S{W1Y3)gNqo3#mm z2UBO`^#Y+2F=UlSZ-FT7jZbVtk`2D^Z>hmG_fyXWBaXGI)|6r&hnx_mOTS)kGOaQ` z6e|2%hVe_0(=OqlAuU7c3~;>H5Z{P@{H%_h@e{=06tGZyBgD>QRii&NDhzxfApj1K z3)KgI2LQmDVu>;6Y2%U1==e2+pgiA@0nM&FGA45_|FZWvIss`I4GVTc5V$A6EIQqZ zHSy7u7o{wKRX3Cl*m#$MV*M%YXDY)3?fn~6qwb=gQEi!}5VaQUi$~2X*^8veSRIS% zYf-eUG2ZDh`x%R3`Lkt60BV1#2J_!%V8q+RgsCw`h zc+k-?jbTow1`V|_kOBS!xbXqDS!``gjnLPz+3#hZQ289atKt4VryCeTbH?&NzuJwJ zXT7#{0O0bQpkps&?UE-1!StR25p|Vx>P$5 zE?iGV35Ohm*$_9tbjRl%<0M+>h@dNxa6tlZo3nt$8I7cwE!&VFsC$(>&lfsKIz3W2 z2aD+Ps0LAS3Vacs3>wFXVhJKNN~Ua)^y1zUHVsqJpN8^-?DuxJ)VkRc7&|wWer7=c z`>AUg$k}_;3dIA|8dOrfX+k^$I^K60A8^zdd^`Ffze`&bX!ejm)N%7EtrED`?URZS_EUiR7cd8<|aZAn|BCz=QkVWx?UdD7C^_L zmDD$D7xNVOay0fxmBiHAskivklI-w7v^6>Q^0b21&Jn?;96{(n&z>P_Pw5mtBkos5_Y z)4%Qt7iQc{;;GjmY7vy*Y2%oM456owgis6l!?Y57f_?f^Go?kaRr28j}ant5{Hk{c@{u_I~I80d5M^77QcB=&{U%Gs(jjyWiP1RCCQ&0yM(h>}XQ z=M0HrZ3*3?&7L;QV;Y1DJ(Aj*`}?_`V&Eha=BL5fY3*R_Cb5w4Vv? z*bc&I7sjZi)8;0%UizN7OY<$vBvAa7Pn#^)2HBLB@iy=|m`k-Q%oJ8}5-uM=_nurG zBN0;CY;7?^-swgd_YB-U<;^LBNX%7FO!nR^d_;i@2tzXi<4N;WZ!(w*ap9>fD^);E zAY(Dn3^Ok3R|BtS9sO>gt@Rv|tvkGQn^d~vg`%DtA8VO7${`~@1B4Ar7I3uq@ z&m}=(+Hx$!Ui1AqfHUeuE-F42a3Pod+efSQM~oQW-e}A$u{l%~Qp?h>I(p&M1o3xm z1xe00MhY$Ycf*{@M$!a|#!(e;RC1tZj>3Sq5%HWe4Tt;OVI1X&=r8ptOgt_Sul2YD zg3Q8X>f67DBoPf%;Q01XzB=Y8^OWC{6~d2o-T~D<3Wa5-jJU zgJ-j|K_I@CLJa>$?zXp2TZ376C;o32HYwgd87=&m=g+3TXC2>1rL(_w-gKNc! z8Ca5W)WNe3bRc(@j}eplI|7^H+G%j6vMNo!G8;XpAVXyfsU58$lS51&A3*HR_w4Y0 z=XyN&kc_1^#m)&JE`(m4zD}gkmmZUJwfkPLCcTV2Ir|gfqj@?*L@tBvCcCHRG_)9g zqRLXUpXs}oMLn^=%PG7ASnG)QxXfv46*9iUr99GmMJPY+uF9DZ&=){qr=oOIZ2d9A zgvAThELX$8{98&zhvwl?o0l@ulcv2CwfZu@1on1CPdO+CCWB^w;74;XMf?J1MMr>G znQ4e?15bo$YU!IED9ElKFlakd6`f^0-ZIvd(OKvNvRTwDlEq{PIKq{n%$UyZ1Fm;z zGR;Uj)ZD}cgtd#~39SBVxCY!UqG5H~MSjVS)Dt(c=LG|9sI~Nu!07Xzv;~;)aVRv_5EUED5Jg#Y( zqT>z2yM`@;Wo^!37NaOeWEES(Fs0pq_CKPjqOBm`6{jTsPMJCnhUxB9E@UahHlBG6 zr0?sO#D1}dSJlLV(Gimj+y`WkePlLD4FVYj;2V0a7|S=ONy#Z>hKBNFhrAM9q-7o* zG6zh89mVOR?$s6sevvP%Bx~9*6}f)>3zX$lQ9vf~;!rG?9Z!IJ1C}BYmVctmuiZkh zqt_2>oTA<>#jDsgMYFwo6H!LawGd4yt5a+gdK!btk|E$=#pdGLk4%{K>>&=6FN1L- zUr=R!q-59wlgU4xa=T8`9)r*$<$aZ==x%mI6gj(wf1mw6B{Nt;5A-28YqLsi$TNNL z22Kyn+>@%s9p;t$j50TKV+Ud2?G0LPL9`7A$Q$nv2`TQJ1j(=c1LJS1wc*XzU1}Aa zKWC4OSC4;VLd^Cmbs&Kb8k(|$B+vFX3r^Y~yfu-jGWw&1j_vibL)qgVBvZ;A>$?i3 z1cXZb^z}@$FT~|G+`~ALfbp$?h*e4VIC3m!6ol>WDu|Y|J_a_8_L`LC=Q!(2?MRjq zo?34-YlDj?bZO%|C$PbjZd?xB4I*VQZEwVx3&~PQ^p5U8Sm$?Vx6y3105AqR4X^{m zhws(EM0QlvfJFV@S7hXGmz)X_nmSlpDQz$Mtvcy$5v6<%kG>hg$)5ZQ0vTZ*TO2iwi23y9>Ho4{*K=`(|P2)#j zJzTU3bSLQ7v7E=ZB zbsgsLYgQl;A%)IVRKkia-z|~#4tngb15l3m zF4Q1YGdxNwZrYSpM)5t7?IdS^b@V$35iJH=#r#ABNCuc$I-|a`CbwYE)vXkJH6wM= zZ#naC9NzWmo`7%1A-SZbOjxWC5H0mC3`f;%_-t@%>=VOE7;QQl!?gp#$QR}Fs*GKf z6@7RV0hFr;vp!Y-s8O7v4}$A0BiYylpQ`PumPEtMS)BU<6hMr`o031divq>CET9N3 zr$hW^Hol>yj;T-!Tp4ASttN0MlkUFw za;ujwJJt{N7`9aLNlxpV1vMI79Nd6caF$}|vKr3n?Lbyj-~Mb`3QPpoqNgz#FYDG? zO5rJ|5|vP)+p{kmytgwbv@b|m9ymBxid#j$@WYy9K*Y0oF9SjC8-N=g)I3nF1_BuT zBH@wRXWr%ObXX9$SP%ovox^h|ifLj-+5Zy3V(Yo`4H6CDF-{(7>z_3y@EZ6OVYq&6 zhPr;|9P!8@n2+{=1PEbl{3eeejpq1#zVX6AlVJ7OM3LfQDEmadzrTcg; zY8|BaeGeMur`f{O+;FeckE>o2E6*|X##$=1tSVQ}ymz8lXL620o&3P2$m{NvXcU^4g8@f;IyTxT^ zN&NGo3?n{6e@%4ha4I{ALFy(FL9?h9CO9nAjqE;%h~8C(kb*jkmH_>u27nFuuJgGbm9LaZ9|yJj~+2p!nMc<*14z!Yvg%%l|l z0n9^9Ec>Fo2-Am2R$9;?E!G^&>dO921ND#-CL=%XQ2dc`_e9dh2L%?CR$C`} z`+x}&5kO0d2^bdrwb&@Y0zidTJ_gg6Y$z*W{{^hjOqpX>Tuj!<7)^WDKp*k;c5M1< zO5?7wG@D{vhgRaD(}>Q#9%!gyk>$BP0nQa5JsDNWmHNiZ~)e+jF z7ZL)h^>^y$A1`esDH?<;%X@pC_se-1>M9*05$lxPAZ++=o!OzuvPxsP_rLIM-`A|r zN!b(@FZ9-8Y)~3vA$_PLnU0UgaMSiSy@^;io6wv9z>*J{+)=FHwn|1~30*atb`9w+ zs3DBYM36@)jm7uu>B-R5)njbs^3yVzC@n6FH1vqYzukYi{}qU+GYiyKcXnm3c^GA4 z`J@j)4#Ee)a|8V1q0ski^g&6uFQ&6%l$C9Pt((fHG|t}22!`n-kGy66qvF>poQ2d0 zG#t+5{>DAF15omKg6g*~7sVkPope)7%AOi0I2|Q;OgfUvo+@|G`%YK&U6AM?6DFfg zDsR0t{$+4ve{HjVL~xN}Sd{9u1tF^$!ayc?9IDf@AfFe0j&SV0BgT!m2JjYJwf-fK z+lp`j7go0FBFAa_A-$*dyeu-t%P<*h6q)!@Ed}K}-=cN$CC;1Q1eE47RE!X+ zhj!}2t~BT9~B*5Jl6NVJDOh^OZ7Loc5&^3QTyR< zcLFcJ3%FHEmvLlY!I;`lJ()xfA^BzLl?X5=w;g3O_z?Vm1j7|fgY5@fmEG}E3^Z>j z)e{$&t=vqM&&ov}S+3yy8Vg8HZAFNepBNqE^B-*RP&g2+4R(2kK0*gYK9Hr23;1EY za`f=$g^wUKYrQ+He4an{#uWvB^92{d(Fd~(7Dci z(3U(Bk~mrZ9*zj1YQxbWC|c_m2+rAru9i>AEpL;+w6Ab~xsQK&E&)hM0A>3z`{GUl zDD~#S9(OFwG)e!6p_wuP2o=?U0;8|@YmB`Z`UAr#tAjFRjEHpZKzuFL4m3qsGk?w- zB2#cIJ>9dPg*;W3!fGydWTq4!1F`gykesO$NT9}kxc-pz zN(lrl5>{0;ON2Sc0>OhQpmM+g_bw=L>;r(xj(!qy*9OM~h`NGBu_UvmCgb12*YAYo^pg& zekN=Qu@GwRme;Kz#Nb08^LG(JIODv3dVV`k{GQ5XRDCqT$#ZuObkqMjcD=M zdw=lYZL4{R7}BF;IzeKpQ2QS&0-X3=yOwEw7Q}(7)nj5GSTUN!gWr3 ziC)YE9b`$;eZWODl!52N1~dZW7+=0gq|O3wZxl6e(eRB;bg9 zuqPUe+G@B=XBC;D0N_ z`P(k&dD7MG0nt^s#a|kyC#{5ue|m5aU#8O>6=wv1r~g`P%p&o*~EMIgrUw(9y=7 zHj~R%>Omsg%!MVAzHvl^2buj=1_)c=5&9Sra(rI~iMs$<6V&}YTg=r$E30Wf|Az-XH3`1J$*U8O;B`+-M zlV@8pe7h3wRkxCL-j8fd5^P)rAjVEx)%&qitW97snG~!p&I#?|CEsuEd#mozm?f~G z7H~Cob(0hqran}Z1xM{08Rm9I$b-~-$m3lt%=7w*DTYYme$1Vb$Z5?j+bIvF^7YX= z`F??DDdA{T8m0HM3eVv$@_h?TO#q>*ryYDq2MX(AjU#NzR&H&8wHF-}Ee<$I#t3U# za3?8n#lMu7pr3)!D(dhf5SqgX)D?)9A)9KvYm8%jv$`w5!g}i)NecMhNFxUSF#bsG zdF>}=2p)efqo4BKwQwTfnhHzz7di>zJP!7e`9)oi%w|Bn0)2I9t=0{1I9lR-0=50&#!A=?koWWPKB^O`!w6+ zKjKl-Ea-bzAj+@>HpQRF?S#^+uoR1hRtcf?dT?`KN!KabzskYg78RtzzOlxP*xb0e zCHL5h2z@35LRoglJvUi0qCf=G1^118e!G47E2uyW+2-}djHTk6nm-4tGs_T};y0{)JWWFds7OA<$YoRH?xpB*oT zG`;A#mlj93cB_@Z4^-n$z%@cI7jWSzLPF4*-)dohxof?j3<9{4=bLRUtn(#W5sCFX5f6SvrD6wAK|di<}zjAUb&CNxRX;((inJWZ^9 zB+vsO6U%zI+fv(->gpNV!94toWLfB~zzic#6u=(bdAU0EAH6>`)0ceK1R^^K4h5G%$|W$S?!1T-(1+!IoMUKf`$lasA|-I(r~Dn7mg z3^d3{tvmpq8$?L^d5}^IznwgXDr0QTs#>wphZj9RSWiB@r=1GMCUv&7PGexasY!lY zIH9}TD;rwD8-YJH<&M;AtVNPY8lUBnBnKbaBR><%wprMkeqN@!9|u-8TJf)}Fw%2` z7>ytNob!9v$=fsqUMqw38z@d-aTj5@PkoKqra^~BoPh^98P+iZEpee2U*FIl-nZxs zh4P}C`Yv-Exq_Rd3AUwMZk^-4kA|5dRFi=EdJ65!!Q zuxAkj?QVzg&*3uYxut!B4PpQ?7p+YWDHR<55|FPS#cYYh2eWmgN?OjpA^&FK3Tdz| ztw%Fv643xqWL}<_tc>=sC`5pVha{6Cb~IUNNu81cv^>U#8mD-k0O&^)iPTo7LyB6+S@Rgm!s-V&21vxHbMa6rk*j=$;k(>d@twkeYzyNtL!J-ZjAMx~0 z9ptk#W{i$Kt|6OA$U_j0RN?IdjN>-&uNDpD16d*C1*=(@3hBy#$g}@=JAtt5N`L{t zY1F>W+t*<%nb0Ep1>kdKTD{E!pcOCW4hoPL%3q)~GfR*I1J0`}$kWl*b94aZ5D*KJ1O7 zk(W)>7tr53HWNCewTzoq5f;viTk#;<|7N2`dL`S-aTyEZ5CDQLI0Uu#ZOV^d&lUA5 zF4QHp%yq-FwFz(UAkaG1F2YMOormIBf03}fgyO;s=EM@W+l0$AQ`3o$1fp!?FTXmE zc)fTbf%;6?;~Tt{5?3kdIx#rdo5Vi=1xj)}CkX;Ilh?!b5nh$D8Vv6bvXLouH0UJZ zL9IRVsncpHC9q=uz&82>a1v4$Cw0Hd0vhNb@#Bz}oMSqFE-F@!AYQGQu;{E(KI^QI zk^8xcTrk7Hp554TM1x}UaTkB?5s#`4qK2;J%)+^xTLt13CxIAgxBh}cnAfz?>|*jw z4%;%AkzB6(<2;T5m`BKR43hOJQzC} zsx@Uq(r&33%HG8=pI8k82+!L<>Pf`DC57EqN!@4mEfEgJ4QQzXVgl41C=N=V2JRBJ zej$VEdQUyz%8ZOHdkQRc{3Ut^yFvCGE$lPI@N}LhhqiMpKLMk6!^N)cmFJ6ll2eQZ zlHt=h3Ez&Uo6Z+?s>2$iAw^lvp(CE_t1w=PHDZ*+2r#1@1lH|PaKw5gU!oznKB!yd zc8g??G=v(!g3*Go63K~osK<+|rxgxh6s>8fs?f>}U?z~mfW}hcqMP6-9DlEE2cIn5 ze9Fo4AfcNG+|=_UtBFtp0a|bC*(b*O*CHr?F7M@S2EJf7W-H2pbhgGmO$ja6sIelDz*GdvSBluJ=r|M zT=u_G7v=I=2_+o9ndRw}RrTcs05pkQQC^9&`06W<9l4v>9%t-n#l{I~y(4=~!~Rx) z7wxyu5`CX1OmkpMQ8xB##8|j}H#YIVt%FnEhe&rt7S3-tVW^w6UdZJU-&{NXjkRzI z@<`bGv8m%km8(8Z7)hh{r6p{dYorwRBDyp3VgH{~OG7`OQaw>8@=^$-CAJDr*SOFL zlLhm1OsKec6}~SwTH6#4P0_sTfX?AP%RwsJRe$y_|H~z3ourhp*~V``Z5DyBxI;F=jpy@KNdT4|iMo zW=Yz~RNFa)Pg|zg4bMTpbbc;!(M>Y_BbGWhAsf8KkX~}f#KukyQAuN=0k4tPA`OBo zaExLyN5mM1EtGMzHlE85{&z+w{#_nVrlW4Nw&u|f*HDYyu-c*Y0y&Ygh&3vZgfTNZ z<^|1Xzl=pY_8N3v>xq>Kq!i?JCff?p7ujVKS2njeFHMn0r_MR{WM%}k|I!E%faIMk z4eBg)6r-1F*o+E+&QpaK;tws0PSbjI7BWN;-Z+R~TkCsJJE=auP4MX3xD4fIeYKsB`_iSqiD4FAA4Bc&s z7gNzW0i>uQl_!qi$v%k$fO%E`c7?5D3T^CdHPZWZdjRLD8DF}PYlig)r+Z`|221o@ zmLSVY8))$gjl;%oxB?&A2vQ2s3oa!ZNqWeFs9lvKDTt7A89W*T>lGD$N&Ciug@CKG z`oP~fIxZOI`fRnsWy*NP8mZ?o;(VxAYVp%ioV(2XX*(z67q|T-^s*t9|i&Ki>SP!Y4XsM9Sj-LJoYMztj^gq z3CWWt7?;>UQ#eG#8zHiSJ6cnt@?J4t8`kXk2sul7B?r;L26d~iQO)u#; z6);@N8<$_37AyES7;Q0v4@<@JpRgopA-TsaMnu)4jr3MzY15UEK_tHuj8&WKZes~O zGB)Ml5iTJ`@WQeG zV{UN~9_5XD-bG1MijDza2p&hon0OuVn^D{YHQl2W@At+3s}Oy&yAiN4d?pJL3gifK z!9+kHho&rqL zQENQky(5c>95%X9#vO?X7r_6S5)yP=>yC^bhMc-bU0*D2xwr7^+-yVE-swq%f=n;D z9x@C<=*XFdhF$s+D3mcR-g||Q*qq!s2p#V5t6dI}hQ~Ab)#P{5QS^aHA{oPd1^@>f zZ3EuLs=^ZaOE)xjwgZBoPY`H5YO?i$d6IYoM-Q9d63(oF5QdjrD`M42R+2flQ{b5$OqIl z3?Es`TS3f9<6FP&4cP80G(AxYPrPL*UB%C#6k#*q_gM|k5M?vF*I6)S6QR#9Xctmd zSuk9p$jaJ|o}hxQIXQO_51q3{hZ3jI48uH@Jio}DubCQ8tOK3!TeJJ6fW;`sC?)Dr z6H~F-6M=B~DWbu^RhC@d_3QKgyj8?zpF0?8V!%Wat|Y#+Bd12fs0H&*=5kB37-wtN zRjS9(w4z#}h5Ik9-x>W~2}2!wbdyf&rYs7^)id^JR(d1Dr~v)*%H#MvJ5>Ys>=$WhYte=5$p|WwaM%|kxBT- zGCt0Vz}RkU%_LM&fA9@rOL=5g1*B1DakEuxp%dOzN?Bvtm;TGK8UM7kQ<2HSVaiF3 zA;LL)L1A`8Q~x7|&Aw^mqp52AI`3fcvFL>bB{eN_XO*Pq&~AjfEbzr#v{2R^~HEDT4WiOhY6>4QaFHy!uK^3Ea#E;`|KxnGo) z?JN|TlXvw7b?5$iP76U&r2@NXzGiw)3Ychhn;C@+aWnv`K?P!XhXkxOaLfV|0P}1S zSKD`FASyMUYJf54fl1d&STdB52IX2!og2DhjJwcI_{n|75@g*{31>JJX}@|+);+p@ zEOGl3I*zR_dQyeebmKsxB+#)ac4v;0?djtl=At=+6HjoO4U;D_KWoBvjcYGX2^WMt z?o;;b%URxAWibCxga&)+_j%z=8o&_(ao(~-5YEI<@eFB>cc4^*#_A42{)tL)gUU%! zd9viJ2QY>826o@;BH#6GGsg;`E6|dDiGn0+V)M8!c4Nj=Sns4Iyi+frB-9BvZ!Hvo$4!YgcdT9(q9S4( z)5ZV{Xn2y6CM%g%lBJU-Hr8rbV0PcqnXwzIz%gV1Pc{tFe)b%YloV{@A&@m(ciTuF zKmBXg35U}d+YTiyET2&I<#3`oL)1a#5op)O?QDigh6h<)bkNID53Bzv}nF-_L{!ZqI= zWC;a5_K&7dyIfIJv(qfS6sAC>7{W3Hyes7AC_+J*`<5A;&0@g2bk@kQx#=*SPfcOf z3nUyjIC}~MID**nYclRl;tey;ZoXSG=+B#e(Jir#043sR9GwTGf+EP=GCi0nN=0#C zH!TLBI|qdS70jW2A|NI)X3_u|O?>3){JFLGd!C6{#hR++(xtHS;BQ`b7K0KE(-eVn z*uRXFu*3>W!-+}!Q9q+*$MFRj%Sw~HBjo?UN5Z;db=K#?C$F-fC+p=WMcw=E=|DQX zI4t)H3J)xcj*o}UWmu|h4AplY|MMS>5U0sgD^@DYku>}^81SdxJf;$KMc*x?V6ihj zWyKpR`z**uAR(g00D&uX6HadlUO?|+eAmR9uWqX?ip;-<2d^xxrsiMN>s;9H2`-rf zArYdotk`rdy;aX}Tn>T5QUd;4l%gU$4o%zeB))=djD#^1i#`ra+}#RFlLr_;C6m2j zOF&6RI`j1l3wl_I;Wmo!G-YQ@ctu`f@rIUjBWZ%E6HbfhA9@Kx4H81wU#O0_l{>*q z#>W9G%!K!t#}W4iQg4Ly3k zAyQ6d^8_$^^P-Ajv>SfGBGU!K)97c0mFkFT$*cSG7iQIR^b126+G0=AaTxMo0oT!nZ5%=J32@oWab3Mv?vI2K5r$b4Gy2wn6L@SSQ~L#g2ROm|#uu zj5-Mg1eV40t^fxB000L700039o;b&u7td#B<_I|v1r3#~Gl8S3ge7|l0G|o$iI5iw z$u_ao*^Fm2IK7uMEgbK*Q%IU{Q|=&9<2V-Nq|x5;^ceZ4#-R?)*g_a!>qS z`|qREgX0VCDM*)}0l&)wSH#SVrq<%%9$r;`=%h`SU4|^cgqX+idqBJZ2xAv?XqZ7E zEZ51XIRKy7y@vlm1zv8=>=Y<2MyaUflW((x?@bD2+t&c5+P{-AknFwYsROLfmDIRk zMdR>12k436nr@oADQ^CrYX1e&4Lphza&S=4WBB`Q^f7nuB4kyRa;r&oNmm(rUV(1S z2^4bz_F2^P|m$Q%d%A6d`$QE8#(qp}3^?NisJm{4bs^6aoFI z+tMRY&7XigXKv@r8x^vIPU;W!WICdOYL5(^b66Nm9LKY5uFEYiFWWX3mTfKDwr#h# zY}&14>Jdd;R5zzQ8OUNgSFx!upp6i`$Xbgw?jb?wbYW3FWB zry{Y{5NlYZ7g-vbrXwF`ommp#GE6dI#;>qxpIf~JaNFA?ojJKJHu|f{bq}0ev7{C1`=PhLEcTlTa57E@m&$kOvrCGw(2 z@wco_ed&q==4KX6OShw9YV9i)WdTh7gcs#|w>|uS@+(vVqEw`BhF|_8YmO_B*rR?H z3QSM^mdXgj-|&G`tiu~iZvDSuLkXpPG+$R+BuZOKTIa9n)2FVN0q$<96{wN6v`UF& zA8twbs8(E|YcrcO^n2@VoUV0jB{oeT1xDfCH8%6D+k z%SV=j9a1sUHFOX%^fxy(g)cutoRLQEc3JvV{yNUZ`-q3UPwW9H^O%d-kY->pq=r{z z&k7M{xTH?Qez1<-REM-^maDOase1sE&(A&<%(w#Ul3nWc1w+<}_5jBv`aKvafMR~P zLC6JaHsfZUu}GEg%}XD06%~ZmmUA1mi+x?SCPRB1!9s`vQ#=L_e2yyXW+DYh~)FgRYgu4pXt^5a>O2 zsIW86*=$F)Su{9!7#BesF}Su+!6@SnD}d`geB0wXJgH5PPCtn*gpi+;P;q6Ggo|aN z#dnnHECw$y^cbTfG3}2tTEh*-9aF)=EU}?U{N~xfEI}+J zM~n$kPr-QNp@NTJM}v^9aG)HC{Opi^gZP@G1^Px3?d?%d{tlH+Q{S+ejcMzP;ym`s zH)QDYNr5{kAD=+nhch`lqN3lCJz@@f*QQ-!BnC%i*Mx7wQYZsVALON>vQMfaXm`fc z7|!JRoN^5_5l%kshDOBM`k=UiO@%E)%q1aMku0rhdc>P>o^RJEUoFdmZZI*5*bo1< z>c3i}E3aV)huF^=u6$^lga;b`lqbGhi{jB z8Hor;EzEztbnG%FNfPI+&V{_L*S@6l(fG;)LQc`4_m!kNChx?~X$1Uq?hIn9Rc0~uS$naI#XtRX*7{f**`h%NuRG~nmz8yO>PW)@GKb!yX;5}ck@MUs3a_BPT1 zxz4Y4WXSs#3FOLNwj8^EK5lhm0lKe=d=FTK?i$JQb2(Q`bEIXcM*=WT#GCrp<5sHi3@mWCO}yrEKOew))UKo+Kmej=MW9W@IEkl;)*HXg6RKRg=~nR+)zi z2PFx@n@QwrRC7g$+4?z?Ot3jHD3Z+V_muv0oU{VoH27C;0eEqKX5ZQh!J+lY9bt~K zwi;|V8=L_9AL)846WCgh226`85Jr{f6_?RCy}q+vH!RotPWW&Cb&165%Gx}IWFTo1 zaDT||OX0rgkvNjWwViRaBS*8ek;CH^`3nyRo<3Y`)NdKlqKpJmP2@_3jQXl;Hcnw* z{zskHj`(TJj{qXipi(&M-8fmW@`p2yN>wV=Af+m2F%3?VBQ)ES&m?om^pfQxdDYtF zC0u4Xa@u2uezbeE|1vuE`FtsZ^evpVHHjxD56TALwiiPK3|!z|zcBeEj&KWAIy8>Q+nT?)4Hjh2Xht$ z1=M-HF9_$FKaS?yBDg+Eaq zAGTy=P_^T|x(SU(?)MKAm;Box9Taibl&5>b&Jo4sq}CCf=Y22IpiBv zoLDHo;=uVZqD%lS_mbmI`0W1Cvf9jg$FT1ZeYGz-(gBHFq<{)11MwRh9RiaQL9w>x zL$;TlH3RkS%L!?F0xL9gHMA{4>3GU%4_g_ph zq*{f1&q0-oUP07JK|zA8`}V$YY(_i7)<_B!-1zB$T=pz81a?$h{J;W{Ljjs`k$XCK zpPvG^c63_pZmCIu>cVS(rGkUc_Vk5%E?@+4X~7Ze^{G~i+-kI194#Xr-S5XDl6y77 znq2E-r4sW51IoH{as}*b_if9+M6A*j^E>m|)~wH0E>it8EFqWfX&YE~H^dnN(L+f%v04l5`2{H(Fl5uBN#Mg`oZ&j6^v4)s(DI2pq}SDX1k~-f)G38k#w_9{ zb5Tmx9$MV;&FrN4W2QF=CQw*t4bU^4`NGM+LCV_CD}9Z!yJ5nUMBCwMMeWBf3e6Db zaUSfQJGaxeW#PV}`E;WGiQuPb7*)m69sJ9Gr2-^eN8?7y$3OEld0W;)SwB0H@+P%J zT{_V|d4bzkn(oOtO(par6c&r02NPd}ZAzsKA+7b&psFrqrby13&GYDQ2vj6Ky=Oc5 zukA_0rIkl)tK4OB?z4oKFp!PSieXq{l0r48XzMp?q_m$-{=vtmx;^p#uo7s8y^qK~ z5k94JOO2=LbjIf?6Sz*^;<-_MCwM{g=A3I7$Ar==!o=2sD!wW&Inp&L?P&Jb)Q$jE zY3xDcS$o(p)0=xiq41!noP;8;D>Hu`>qG-V0M)1Jkc;liVCEif@G}=M6rr zO|C$`R5+Ll8KmVI$NK{FOb8W;e#UOaBH1cH_64Cf?z68(oo)>%i9i3nFli7{7{^+& zbE5v=W3Vit95j9lPxY_H>+_W|;1uAMirOf8Q9@)2N4R=Gj(UoI$>#WsYanp_{U9nk z5~Q%uGF8oQ<0~fqeuSY)dpku+5YTLH|Fi~bCG1V8-=u$^{l!A<4r zko@~FS7*3rByUFFCqoL_>uxOv?Kk6anU9vUy2?D`Ow}m-8rFXf5@rijKhr^grQ?HjN*SxC z!)kv=9oH)b%tnsr&&dVv*+y0!wqP1SCNv~G{fp|e(KB%>b@M~x35lT#n7&(REH{tX@Ep8QBUOOLv$Ri^LMVK z3^=~UcBdj7z+vIzL-I9&unc^+ua7zJAgG$wR}J&v>})d=#nEQpvQ?AV-7JJNm#qaJ z`kyMueNFyz%nrEfDb$2%UL0Im8aW7Q7&yk^RmjBxqG6N_9vGh^pLF^gf>eyYgwoEPB<_u6=o-;qZe<3N|(r@|{M+|{FjC5&5f>paZhtT6{$ zZ=2}Das8+%3u3P73v4l$tTSP3U^5nKcofTD2Kl!Z$(hT}#N!A(1$qa;Aak=P(^nCK z4vg=Oky9|Zk%s)VYtNm4=~%rO@VbU9caZkx)O&4^4h2V7y>|ml-!dnE1WNlxO}8%i zjW!*Bu%YO8lun_+5Jmw)7)t|A?`0~{+PScQQ~+e`*}l@b`jlq|o(1n{^&h-{FmC;- zf*y@MV%%eBe_~~_!P7AQyrz5O14mJ4F zP7yH;GdP2DLVwmI`OZTS5UIU2`DMr}!wFbzz8eyf!!|ue=Bix1)M*BuCvs zD>?>HIc4e}Wg`IXs-nyKx8y8=_LBj>o9Jlf%GNDny0IZj) zDE#FWC-}cs=T3(c`(n~{5@-V2%~}W?>HNJ7#Ng5j6}jB~-QT6V!#O~U^s3NJn`^Ci%IVEu6ToTb(U)ZQ`LXKPM+trcbvdGBN8AR4;Z+xA5W9 z@-&BPz0NYFtH%|@q#@nwW95)_!ghTo27D(i6UEJi#SSPj_kY|(v`{i3At;#AdNo@@ z3)k@9n1NC$9fy~WYl(Xs_5dXfI=@7(rt>mU-mQ~MH7f59R|G(bCT;DShD zD_MM6S>O=KzrsrIFY1f~epHEm?$()_BsrPT z!yFct(x#uOs{VYj0Cgto+++1+AgqK7yXKWz8q=30yknuy0uvt79XikJqR%m8-5qNm z78FEW538O_&i9vsBQ8G7&>UF(Q1}_9irrx(Ma7M^BCu4vESI-Dnt4QjyqRX~MR0?} zCS=C5p@5!P#GKE27X_GiCjRS}v(>H|$k{2Bo955&M2dB$T~h+FCMH4ZhlC)o05_Bs zy8gGmQJj_}WC8gHOe7Rc3qzA&{pDw6$~7{;XB)dKna)+%yMz5f@p@H6b$hjZ=C45g zP#_O39m9D7kPMxIRzI>lr!YYZ#N2aLH380_i<7bMYBmT|f>l>bfKk_pcsE;9jW++n zgFMnKZ9WD1C)0Y49TC!AAiWF0S(pss+>aJhr2}*ZjVu z5=4isx+q;45jtN~Guy}jv=Hf{`MO6oOnK?Uyt|#Q5aC0AN4(cL%OxRBv;+(UNcEMi2s$AI=vzLTUbPi~Q~GHP-%E(afMzn)GuCfi%f_we(`*aC2cx%-#DJ8VQ+ zo^NKuOJ;8H1eJyJ3D(~~1?kk&c8&;)YoWIjIlnNnS$^4)n&ICQ!x)RfyXnTfHKZD5 zLUKn3W{)~W{7ZFXr14Q-{{fD}IV{}g(}XmZA2@buG>;}Lz*w%Dq)xqZdf`8oQAxCQ zXW4#ZShxvNFKs(HJ(@XY66o{{Y8I%Nn;BS{@VNR#)Z9o|TM~ZukAp_ftCFXKz2d z`H!14HDuJX5;%te_orr(R)(2gx=9Q!k%mXNM)HowUzPC+WHUWl&H<)4z*L0L<&B|`S z_kYO+^F`eo_1f&IawD@(d|36s+fiZ?rffC1{7N%fcv-Qjioqv)5Z}Yxk%R?~>6-}x zP?G)9S%PAOfQ*JapRd(Sr$V{hqO2gzViEVfUt9vzQ+V*V6=_FEuAT-w*{zwNnr)cCP&Yz#}(q&92Hvu#$8>-6mGO zc=;epr&?yKNZbKNHux4nETlz1OOWk7bB>GO7uJ8BO-oEmTO!E!)LbNy$hY8J%X*o zH1t4tam)D+b>rNjaiJ&s>cu&Oyj+Z>rAv{`we$k$o23Kxfh9#MR*f%1t@pVs!j)*Z zbG{A!VUHyl42+eN-|DMC)Cbs7NNJtRTmkXtJ4(lOHDr;4>il|a67ZJeYfc7zArn}}Ji{V$_7 z)5G+63SHsZw5s1743NosgIS2%wBT?6x}c=AJ?sv?izQR}=YK4*i#y51&UR`mm67nJ zihH62K!2oB{0y%%eDsKCcpD!=`-}D%VIM(mv8&WkBU!!@fNrE+0!B(6l5!*-lR>9a zzp=mHj*4ss(-a1=!-KF(Q^8MoKF+etsC7S^HHjKXxB{qIBXy)L8JoACHs85zHE}^v z;v2m=qq>oGCEADp`PrmaF2h*ifx(F5oZ0hjB?JcG7-i9$o|u?m*j#PnvdzH#2e-`0 z$1ZZ+SjfJqEs{?Jh}*c9xi{wotTgWqqyxA3`W(LP+NjKimqX8Y5e(;4VDjZ$?NTRj z!>#@8*&JFpXeUoXBwxBO1@3qEIjn~_GguSbXNCB-#H4*3Fs|cn8hC9C`xAS2IlU6w zUfA__2N8g0v>#HLVkL5g?Oe+FG1yEA+fOf!ZoULxUBgGv-hl<|H->YrX_1e^9^2yQ zKEy>4)J1n5Q9vJ%Al6TpV`rg*A{de~Yf9ig?eGU@?AW<$lsql-d4%!rYMxe7JAptX z5Tj_(wwLi2%U-OXk0#5y&VJ1f3l8LPgo%MRviA8(3EGmnpKDRB4`_(AIz(eEZsjIV zKiHGT@_e^sHwYD?DhE|RXzZpTC-liSH9S#%_(;x(gb%Rf)BKb<*$LQ>W}yQhV4aIN zMv8d2J0^snGtgBm$HC@NE}b3^xjbQ{{vHCLFqTc&2=t%O4@fHg<{CesZlT^%v$pB* z-_=82Rj4Hgtjo~rY+U(dU*)26kM+=@cp(ztHL7D$?ClCDLkfC(i zU9O5Y!4}32^b1;RK0gJ~#bB zBp!*4{j%{x4iRV<*8E4rc>ioQbdOpF$!gPHiEKF-@%QiEp2tV(;m@%^;zPbC?ynvxkT-*Qc41v7IB(cXt!V3k#yzSEV%&z7DosaC%V2 zFR!7R*0qXu3Pr?H6aFdSWBLeI6(?GfCH!U$IK6+LB~tL}eR_{RWayBK8no-kJ9fnd zBYz>k6?io*W5J({s;0)S^sF$4mt{CF)*y$TpZ!sR2FC056-xx?m0Tk{`9b!Q5xFCI z#_2yVWH3fJq*`A}&BPk0H_A z2r~P!f}^ErdyQhP_O46BC%PR~(TI?<2!i5Q%WTph@|eQC%EH>FPtJ&sEtt$g00RHm&y+tgQ6 z7%Tv1(jxV#(fZU=tGhu4By`3fHME^jGxV5OD9P4M&QeGLQ9}H!`y1>lg@i?h$h=*8 zQVeq|HI%WNj5KQk(vwWJ`r?p*8`jS8!awdvU*E z^~9ZTQp!^fRTejTlAGt#5#l2ydx3cja1rnj4{|wqeQ~+c)Ntk)yNsR3`~`i3+zuU&n60zD;{}&@9Rs-W3s%(WWObX zma*lWNMm=yHPZwXL3eiij$LRnha>#8nZFVShDEHQTHu z@Kua{Kh#31HHEEK2%E%SOX8=WY2oYK(Z>ux`t*oczj4qVen;MT{8}O2vSYD$G{Wta zejqRrHzl6{YE6`fy7Mo8B3>GUB(~hp#Uat3gy2aV)EJ6bmOq>3V9k zUzkCJL97INjhU=t|2nt)Uqq3TdF0#Cy!V|6&AeSQd)qvqJLs9*J+yR#%(VIkZ&czA zGoWWB#u$l3b=SS0H?}$klzub1+NruBKqTS#b-@YQ=>>1sKK4xCd(EO2LCCh755%DP z=m#)<$n4Eo8>KoBEPKxA^TuzLs8PsKp{!nq1cTXH9Q6Kw`j?8JU#o3Tq9a*2@g`r& zQ7&;bnMe4{Cs4tUGebnlk%ceKo7DrQi5mVEG8Uj3Y^BS!*ZDFhrj=QRpwgiG?@|(I40&oJ97VyF z{&n}L1H25e@zKZM90-p+ya=yTqIC-9Q;~nt)8*m@5k)mc&;lIi$$aV*Zhj z-W5hlI!(G-sZ~lY=MOegV%ea9q^r>Tzp|)~`H>{|9ieaY1Ea3B6HKRt6Ld|ptPu3T zxi*HXMtPbr20^vFbBYkje#B;4x|Pt<7XG%9`8N>?_^ntfk`hn!1JkH@Op3InNo(cH zL~u@=X@ut3=BLSWBB1gefAO?4aD1V3i(UKTIBj`?b5x{Z59Z_A5Qf; zlv$a?;>xl7H*|ob$5LKs_&W*BS2a^!lq!%wj>v|(@vrjr@TocrFg1u!ZNmQ>qZ^2; zJ{lYAs=xyn@Tzv7R-Pc@T}lK8H=^LpLmhg{%lD1i5^0{k9l~LOr6X+f8B10Ni5>o} zZvOiuUr(m0|3p}1h>=5sf>hXX0c3r@)$!qwK`#=gZNrYuy1A@a3^n72-E00Msly~Z z07fGUAZt=}4t7QUI4*3B+8UuohW-qEVrypq)<)|VTL{ENjJ-x|q29|YKSKSBvEVuj z9%lYG$bp5OQJIMr>4OUpFNPdAc{s2~{sb@132f!^^v&7OWo{V^eMS$q4}hoz*Dubs zn~UOL*yb?gdo1}x#5O3KY5z>0_mhjq1_si?% zP*_wH`I*lR3&4?51X!#Gi$AC}*H`XEjuf8x`F_SWUdwvBDrG1is{m7bkY5J~tzd*! z4PD6!Bu~3_n1auCx^JuK&l{fIx&Szm5UF|n5Tx6Hzt@<)Rvcn;-%ZsDv*oc&0&4|% zjuZowhPU6>@5_xa^fAtBZie$3B0uj5cZAlPlmTZskTM^bn1vUz*c>zL`B90$6e@ zGE2T`p@z%6P7LI=sAe<0_1sl`ksiCGCghnJsRHh5B6|)`M*ft%H>fm9Y@hK>f4cvy zjxuD<*7Zgbw5b3mbx-n&G^5s{pT3K;U>coTysw;G5N(qGxr`hfmO1+X1_=KaeHybD zIzkshF=RWJ#>AO}Sw}foo3Hfw(13{n2YlwD*?!17zJJQI`rRnCnTRx?)Kef%Z9qHP zaP~l{2f(m~xpWt9l{t@{+$-MUi;T|KpMxLqcx>BM3}Au+(4c|2W})|u_>mrKwaS)R zm;_R}yNQm&o4UYqKG)MqUp5nX9yl(O?~hQI3b+;|9U5#Cx*?%Q|L~*hD9^Z!Uo$cj zWN>cm%>NxWRw!+gqc?pz+LjMc=Am_REsTk-NbN+41I=W%ZARmXF+DjNsEPiP=^9m-Fq zB<2$}UGERI`ft~*$T?JZW8Q4jIo~IgMzpAaHqOrCx6#8p_aCT#->swakk?n$Ntwo) zEWES(;LP3_K|7Hbkn7+jspGj4yu{uZ{>5)M}N*Qxqz}PnRPKudNIKDHVJ-8< z1h7oCf5_70jl=Qh>Gl<}A{M`IQO>JogP2V;=BB!&AHQ%fG6RC2w4WZ%-c(~xLMKK7 zO&kL=tHEXw;*%0N;i*jsMn51`WB@7GuZRlYCweP-1;3>u1$&dE6gPnWI?b@k`pi0B~30g=f| zig$C@Z#(#W^E#2qTjgmyB*L0Gtm*{V#0T+^^I%GJpoA}#wlv-{-&+*rUGo9vH@>Apw4(77D(;A+h1HN zQ6@TSQC0X$Z1VDo=_@80IzeJ`C|La7mlEJWwH~z)NwErSDKDM2PpuU8z&a*O&)}kkRlOhZn6`h znN{u{3sYbGwm#^Kj7u#6@}cIvsdEx>JLg_f4yN*UIz*qmRcG|0)$@e}NZr_C!0Wm> zg+0Tm;y9}P#>obKx~3DnyKcKd;_XJY#3zI+7C?l}Du(D18$Us-H%d>fSK{&Ov0kC_ z#Iy<-sW2;+lmP7J`DAnC-Z+yip3GT}*IP%5O6m)Lv%Ngug6~K@Pb~#f9>X)yVsJDG zpJgHtMPN>#L$?k+c#pTpBzo>iMfW2Bv?0o&t*XI>+QM#Cne$_djsE1zi8e<_`dUKi zHl-RPI98}DfO%zK_|a+4PgmKhjDe@QpR=tDW%;%jtt*TU3Dhl1nY-_&s)US(stofE zo6)=w_|5MY$jtgBO!1Qj(SVer!22*V(-M2rW}tgCGjdu~chsiPON#Fz8*Ox=DbUpG&&}~sfHu>&^ZRSc zTEx(r%3j`hXV{?3ge6s~#%kzfEz?u6Y3Gjn=k=KSEaO?`w_F$JhH+hVLdw56K-{@N+*{rz*& zLJwIun>A7h<0rG%2goWgO_#LIahF1C#SPh4_Puuh1|-o+j+9O%UrkSt9-z>JHbBO4 zWk2pvXRtk(KF|!+H=9#kGMV+4pD9d&WcGI`AeM^jEk1Q0lSAN=RUPGMWhuE;Vmm`Z zHm7w%gd3Qn0%|HB%kDdm$S~y}3|gug8ckNGy}U8K2FxykRgU ze~NE)p!_q*My;qL+FU+@_IFE^?QF1HiqT6PSkv%qP4{*9Q(NnR#*uv#LZKgdQPcM= zo1y}+HU5gsH|iwb>&5=SYQxO#LE%|+zDLS;K$}u2dZ3#ID5NeEru?hxzcp!|@HWEa z+5B6}tXu17q$=yTO+_X~@c4!>&Q=Fsv%-EwDLydA{vWK=qE6;P?-|8^{9?PUkXT`5Ef01GDxA zQVwV&#Wyloci*hT=e%d(fJIw&|3rI|KTkyZA{hMiF%%W31^p^p;?cJlGvdoncPA~7 zbnFki8_V-zO3xwfj2(#su&CI?-w>0kbCH@egA1;cIxK~je{Moh4oq4)Gm6&40tX~> zR+$K_=9-cvu~e}Mloi5g+?dtg!?hV{u|$}fd_a4pWKF&!5x`@tFB@lzO)J|3sa^Rt zF1WVxW^idp3=e?i)pQX{V}sq_uVxuxkate!BBpbN44dYgNvXb-b6MaY2!XtF2lu$j zYXQ&`Yx7c`^e;fxGjmVk=*MW5u%-ar%CMZ!VlFEq(NDuZA;IiOG5NwSbuaN>Ds<;T z2LTgs-It57up0_~=(%3N_mHhb>Tey{Plfu=p(%ZZNvk9aMDZxsjpe}oS5=ztWQTF& zAjYbWorP0Wx2(os8MG3g2C}M?1$V?Du+5W%*maVMZaHx)+&(tuav`zW{w500g`o!M zX-$<*6#qf_lP!(mD@br2jIP<}nnir&ZRwkHycMnnr?Pcu6lq_fw_YRGbv~{&@VBOsvFH zg>rvGMPM4(hT#rjY0f|yB9NGl`yk z582l^`v+GstKj@P?}=baMM{Y-9lU>(8i@zX#CuI(c%?~cCw^N*`W}z3s^-|KYIgl}h zE^)*4z^v{NGw|nwRpgcLScz_H`*pX9UZwhvd3?ldlszR8T7Y03n1Iw8^V*eitt>C5 zMeJ5bYyuB;r}%xTGpxzZ1{v%=gx91txK^Y}w-qnT?#e0!{Ht(NCBim?t`IV2SVvfnCgf#H^(%@>Oj2H(iPW*V!w z8T0)ai1vhnml%&N0#Lox%WH9ScQZ324f{`o_Ln2Pb25Z(@J!ZP+T_Gm<-jd_-)Z6y zQd3TwyVgjNUY$*e;+xz2niz}6Z(2KXj&RVTG^UYF!gt4i+~ePNl~aa3EemVV2B$F& z`6s=Ju{aed{AW(1yzQ-}YhULgSVbM8l|*R)pWrdk0DWo8Bx^&01hBm#286LCJiRt#6C@Pvd?h9$)if1#$C#S)fRIHE0X8W|tA( zG9bQ=3xy-2f+WEuaimSJU-u5yJ>UX4){^Eio)CZh2m??qv#UALHDkYAd>TD>I*OSZ zI6?_RbZnDf!wpnmW5d8ZHuD^s6&@8jLanCX_bK?o2<4QqLWof$29^}DTOJC~tyISp zhOD=#>i19YSZJ}lnvT<+H3@B{YA2vZe>IH-^7Eg*`6Umn=C`2*cm7a9WX!~q#!1dT!g2R>DtS6|S$-DpLax|wGBEo5%&-OyBrY5uj0ej4`V2?qP;&#L0bTXr}4 zSCZ*fn8vs3FW#_Bycd41ta|Tei6^NP2fc; z>75>gw>s_yq|*C3#cEd<26z0*n<*Kr(LXygq)`pgWNJ+Wzuv{8lH5p!h`luJZJ3k7 z1HWgJv;X&iHg51~9Bu_QLKw`R$@JBT0G;F{6pi(1)d<-uE5+hfddCCUZkjlM-VET& zT%tLlIbd%@wc0B*lb1XjAw}>z8ZpN3?=Zv#T~;m#{ZH$L+V(Hc(G{>Ox2UAEgI53a zo@$oAZE~HTBg7jBh%=T#_5N$kKwxj}S!5JK!SP_5!ufPrwGd;qwO;271Ine4-O#0# z@;8ZFO(F$!&mj(U@1b}RR@)+BmpJl1Bm(YQ!goJ*wuo^VTnbB`PlYjwP+^t`pL;8DO>*gF11V#t=Vr?J)nIBQj{_ zT`R#)a9qoalR0;UNe5O4`O<~r4mJA~ussR}8QwzxN6;;|BW2C8;t1E_=AC4Y$~!K3g( zoaK}jbuYDUUs_#RrCQ>=Kgd%WkYK#d!1+{OQ;z(W2I)5@a#Bm5R?seP=vydGM*2wi zHx!`i^E|4h*dD5E9@@GD0iA%I%0rY%@HJ5ohg?p|+4>`>W0c2EyOpX>9XpV-d2=hC zMI@u(Pa+fdr9n(lUop-GV@9HBPeCX6-u&O8Q6yd;+4Z1M<9}krlx7>BEg1E;7TuD69XaCAv?Et^sewmwT`@Y zi?1nELHdzucPJ1Yu3nVjzIVwHeNTOy^el(CTv*vsX3T$g#+Rg>@kRx7Sjn;C=(F(I zWTmf%nYNF76a9z7D|7_JW4GT@He`tbRgz+oan^Kklt);zVu42j@Wa&>H z0j_&G5MD>KU%8?5#kj~Zm%+69#DY|eib$t-;=G4lPCnL?5YYY=)OrbD>qHX$Y*66( z5xvoJg|RGc?{yC@nrWHzl>vA_%_wejZAHZ)cRs=o`msFhidT3phB=-m_Yh_#$}<7I zcm(#{JCuA}JMoD^ZHj+p3~FSW(1xA&;PrdFiMwAG1NDLy8lkuG6u4I0H;H?8^GWU{3tj*|=KGxGieKUnYl68q-I z-GvJ1V~}S!9HK`RZ!*;b>Pjap{ykKlr-C1ze8Yll1jZs%B>s`&0yPE<`A+o z6#-vaSNycGvVIzoM@cNd7c>AR@0%2m!$cPI_^e6)LC>5-EJjZ)#yb?7=POjmay%e` z9aG9ZPBcw>hl)Q^{}hL)q7;e5d|$6*XuPZ<@$0-81~=41N>obk2Yo@@`KaGh*- zs(SrJbZ7l0eF^!w7+{4{-Fk3>h~2Tj2;17gH^bYF9AcWroG zO=UC3Uo|(H+vrm68(B6hEh71(umSAX#21vS^0>@8X}Q=hUCupwoyaOTmJI>=ljFCD zUQ7U=U4gj@s?LljRN0!KtU%EYsTCDjh2QnS8N-vI7oGxOmo!stj9VEw-ils_kw@C{ z{2YJUwWl;5=8XDXcEG^|zOb>}5gWXV!q6Jp640JI@e0pVwRbq0+B=Be6sqM#0TK5f z^U+C%3`Gz0=;2+EqnZ18k&)aJf5_l+zDPI+6am{6QRUkEi&?G?uH+Ag&_3UVy%WzR zD#NG9@S>6%7fV1=%QJL}p|`+^j_xy>z_-Vvlms6$2p>f~*xUCdkz!2XfbOqcj__NE zDXzK-w_8ih*o@4Pdh(3mt*3_M=e1ZdIKd&6-qP)pASj!TDp&cL0^MF4{`!TOozj>c zD*yVj78qyZ5Z04E)hr=w7GUTq5r^4VP++MFTj<}4|7M7F{s_v>k6!!g>dyZ4etr80 z|F6Y*!ZX(8k2k9k%)O$?^ zl*WeQ&oCskXKn8q)cW&ncThs*a`5#(kp%lX{&yZk0>qamplZsTSp_>YoFM&6$yxG` zcP#i8(Aw42^GuHC!|WMj45ve5qnG?UtlGD5%@+LutG);lz`A1>PH886eXN@%P0u7U z98)i~)vp7+lQdg5gCk&{o z7*Z~aFl|%_?O@Y<__7p5rVg-JPlH`6XcestESWaBPo7KVg1;qhb{1w066W_~jX)Dbu^!raf)^Xc1(k<&)(0oKdWBP;H z{=l#IBQ`GY-!PK1gb5}13#MzGSSyn=Vn7Ay@OA2ul!}n=k}HD}|6+@td*hiPOWwnm zK%+$;ng$qR7ws!cBA(U>e2J~UG4b4|n$su)@}qJe7^_zPN$J4#gJjoZ3+0Fyv)S5T z$0292>=hz8w&Vhi#Sp8|F0?w3zvV)k)Lt*`meM{OwaZD5Rui0+ zII!62ommY%d*ugBS5BzC*)Tiwf=L*?zi25cHB}*T0k?$RF{@gAh(;Phk1j%ntn7++ z*b|lBaTyA+rycDx1)$FxT%8Fb@D`h!RnGz|unT12k#xcjCY+ zBD%ed5sp#2kmbo__d|c!wK8*ChJSZ82aB}vjY?O2LTl*PkS}QbB+xTk+RSj!sKOsF zf`Y(aUZdKX_>5g48|juS^}j-N?JVVX*iFO<((30sU4aG857&inrMe&P<0@yUL`21D73=$0prLEUdU1w0iZX1FEUT5wE5nOxxz6*hY{3Yzeat} zDnqHhsB;>qO9YN@$|{!p(7`!6{LxTma5hMrN;icmwFhbW^Fo&&ISK*vSh7)gGAEXc zPS$URpHTsK(HHYV{mct_ zppCB*B+N55;QYY3*Lh){dJ{cWpAnAD4M_i|qOQ#9E&K2S3sgcT!+))Mz3Ctkjxj6c ziRInU>_Z70{t{6hiH*4si316Fif5vs@(0rmL#@71UGvOHUu9y0=z~5VKuTTagq~at{#b3&4tS4mjs?~r>Z9&vA(@t3$1s<12qroKbc!n znEVuQ+^U~83HUALJrjz3{NvY4)52N@A%J*#L7tvVWtZRuY_)$XMmxXgc|tNb2)BAbSG z00bePTBk9dsv1Rn!@oUQ@(oERYjq>6E9V57l+K85V8Q zlgFCwZfLg~AQVqlIuENs(~t_a#%QWo{NLVLHN~N9VRV>526wlCVFuSEI3c(b+}$05 zC&AqB**&O;ZiJ)4^{q1UwCy4b}!*zfanP* zANWZ$ukxu07Gnvm<}vdb#Ld#WlD(OWY^7@^{|Wh2C!vt$E-qIA03v_-o%iNYY9&<% z8^~hOl-_y{HKK<2=Ftnk0s|MBEJ&=k@Dkb+b|EIQzs(D~q7cqsd>MiueReYMgzfjg z8XB5+ol=w*C0&!EDSnGEUX#U9@`%66gB+S}>Ue~bO)@QsUYQZrUUxQ34*o`)Hyf;C zD8PcJN5>aQ?hmK;*(_J}4!JzHWU?$aU+ z5SzZ3ihk}k;k0Vd8{Mz3zA~W<-1Bk6jb9lp3m?Vu0w99p*y6x7{PyOgkUxs)e2t@rmm$PC+sBp^lE*Li>mOz;rB2?{1wdYVK*E84v(AMx zfdcOPe5WAc5{TN-GGn~xq`I*l%~9mQsVAs+K20_e^Z1`djhyNb+%iZ8Q8HGk2Q z*{bw~4L^FAK^3c{@unZXD za>AY?bT$Ht)i0{}W*ZI(P-m7A>CQ1q!dnD*osNLfL4Tbl|8+5lV(`~?mF#9oeni={ zJQKN@KaH;v#e3FQxO58yv(n7bs2wiEDB=v!v*i240xs4|v5=;WoAuRstz&-$5TSxh zF<-^o`T3Mdr^n^Q%t>o(XC$wGSZ|XXrzWdR>@%Zb>wI8ZWu;vo;3OS>jD+vT5 zBA?RaX4s|D+hE|zw*`K&F7k0X8+?0>h3$~v?!0gG{2=BhSvxWtz(Pj=iYV>Bv9!_5 z0d=V4=dH|%sf2uHqLsdW_WW1i78)FL9R`-RyGCr5KbRWsP}SWv~#L9iLUu0Iyv_&(chki3R` ztHDra3@Aqu=u)+r?_WB0fzi6HueipOA;l`)>wa_MmX9ihOQb&V2uo)Y6;Pfkz|wjJ z$jr}X5#3aoK{Yg+bp_NqWJ1^b;xrit9^-xnjG)^Esaz5eHvRQf!l`+?we5RUHTdxA zdUG{(uG7fhDL}Q3#ZA^0_94?w=BYUQ)<&{lvZvkH@(|pC$S}`@|m&Mb8mPv zuV!bD+`4Ls3Nr+>O(|S&L|Ht2OwmA>d@i733ZnSA%S$otAb~q8M1;RhZMuofH4R3B zV<#jRV|$=y86WYzR@vP~%*?PRd@(>oc)f6^Fo*2G<^`CN6X}xOpu^Lq@0sIXf>@iC zL;J$gbWap)PR*gFV$f5U9}&`d!I&A51hRO8@K zZBkeDqp?eW!|GH!@I}yVM}w962~l&yKiMIDml@W_F{cehy8!{?ZlS zJ14317tbWO9|G~;NuUW9Uw^~GMRyFZUqzZ`R+($Kvu9+lv%)D$TCyz0xuXvZvx`W? zCf-}}{xSH-bmY07(>!);FE5a0WAPqw`~zQ2&TtwS0I|Dr`ANHBx@P(;?@ARDt zcrwtsypY;iO&xMOJ!!uFP*2^5Aso7qujyovv((;4h0+LOHyKX8lA#`DtJRMtctH(j zpaf(Tn<*6L_ga*r0Jk4+MU&ssC5M;ym z7Eu~yK)!lgN>>G80>Xkotqo$w$ zyZTn_5JHP4Q`yxImDxQkg%3flugEwVsO9@8YAO_zax*`M$&Y_v^S0C2h!>n7lXBf! z2zxhci)KN!0^u9PK-`B|im-(Qs)cGg`P!-?sor~XyZD%jQHdg2yFiO7y37^qPgHsy zr2}*5B{^4STCxCn`G`^BRbvQUr`%;b32@!cXpe8WCJ>7WUE~x&9$i%Y0~X}FuRn># zgfcM>4huZEK#4c6%#w+8PawuVD9nKyNjXF={0W?JBsj=F#0IC_7SMQr-fO@r>rHp;c8BkojYKNq8rD;^Itv4_3O|a>Lg_JS_hCYqFW!9~T-V;zPT?bMLxJ+OKjM^QJp&dg z-Lg{!u=-JNTSd*J5cjLcY7F0oB}spY`xp|7qzcH(_8hcYB?6wLdlDECUq#!oHH&^a zW(wgjv8{G~+v_4^L6o|gZGd`a)j;{~*3NkOTg#@fxi!ZY{qKtChn*uCz*hj)$vFrB z;e@`5&BM1t%Z^kWYC%M5O+OL8b2>qs@Aug)(-A(9h@#98!TLyF5Q-I&cO}O!U+@n| zYHJeQ5xgI0veI^`wIXqFQ&eL|-DV$t3T~Mxzh!am^5Jp^l&2J#d)HP`THQ5Z5`cFU zXFPO_XM7a2Jtw}?S0e_o+)=-ND}QuCU{eNeTU0D)tvZt4!)q$b1|nqAIl;IOk9B>- zPdudLiWq2xa;8AGn--exbJYje1mhtWu9mjwQiUzkKuv%ANtuD=f_fr{yW)(Xs<5;) znXebr}ePp6{!{|@fIGy8OWi& zjGX!YHVuw20&eSO5F7pL)+ad1GHfl0mLlz=8Z=Pa>!B)P4DemibM!WiH1S5k`{D_Q zCQ(xFTE`(#!PU^G0{w4w(YEoYnvajfFgJZ>gbS4$;?7%H~81akq>b=7~v16 zhDb&I?IDa5FLJp}6*xn9Ye=R0Ik-E^b?#)|=%4?3`aWy=SShI{kVAb4U?taHCeRPY@3^Yh zfWOSZ(7Y?kA+9ewWAe%pdf|q;sDnwnWXhh80<-D5&28+m$iIqF-w74wAyUQ*MlKV+ zd9!`?q#*e_kBe|G(JAF^RJDKq`o+~otM(pPQeSA=!>v(6*9V~&}2se zAc|+kY_k2!`S_0Rv!u=ut!~b2VlU^7?T5#Sj_XVC(?b&2O;_+|JvrCy2?ce7S+x{IFnlMDU;KyshJ>I_cw z{WgNvfaGN6BgNkCgeW4lK10xUB9)DduYLTfhcV@ z+E#z2zD?wZX3goSCRM zYY~g+Q!zMoXAAUkz^Qwt=njU-XoWB=uV5)J4ER58QDw~!3uc6tQyXLdjpL?jcE!Z( z+Uy)_U+*T3?zV%VH&-~Hwh6-}nFl>?(~Pb8pBU^UZKiE(^u4)^kGp4%_-;1}GPqeB za1#$YYt>H(Pd56aHAo0$AKc3C5RXDspC36ZMMOA{fS>f*YTGs5diZp|;Q1zwPZ|Sb zt8d0W;I@bT@WOPgpD7$NNsKWUUuvsT6RJwNSI|iOjWDQXNKwFif~<{uH!;0Iqmf$hS`+-d8#&W+ zb0<=Hh}VeHBIN$F6m|q;6u6;y^l7N2YgeqS5%2rJ9Cb!9$HM7ws!Q@LG_Zx~x|o!= zcQRoH6`xL`CYL724l7^Y1@3rP0FQM4PC%u<>qp*hhZ+>Lq%F@-hh`z!;D2GZr9)dX zk^eI@tK%+FX`%G)h;@8%+t;zi)?au5FZtr*8MzN9THzYcj*lWie8=|8${fIFtjjdB!SY!#PeH@XHL;|7L5A5CiA*S5;X@g3UemoI6 zk4pLD=x)<1J>am?7l~7is`bqw?M`|!By8ay^n=@XodLEkfR_;b0f$?>0_=g?ibm1` zz$q!0y)M}v5oc9Om#E%oirvKJ+fr}DKJs2+FedT@f2tz4gnPuaM0G$I^+Z)Ha*PV= zwt04*GV|$GgvEYv@|wLuBID}Xv}p?JGfmU?QMiHw<<3^=9x2hyy}7;%qY(4-(($I4 z-f&Gs2%!NXN;S2vG58h{6 zwTdG&WpUL3FP?(}COl2~fuDMhQe#dJ!~5XR*g!{C*z*Qg^49>{3|$rxSTc5{$>9Ces(Py=n2f>PYRiyH^-lC2(mJ z7xsHr)5S?*zgoTQo#glD5~_r3VK&v_FS|i$krVn-4!8(`N$p-6Z)2BwhbZ;;ZBf-z zfk4n|nwo!oe1BqA-y|8rne%hoM5}>|Z*DOSmq&PGWLel}pxkkiUYLj;4Z}VW0_1-k z@n5SK|8D+E;9mm&*93MwxAZcHFd2#}^T{Y2@|s?}ZFyWzW*g{W)g>R^&(k45{?{M! zfBpP_FaIxre+m3o0`I7wTqC+DOwIheoKAY+F_CBkKp_}d0%rm`LZ%gi@CZPB1VGR* z(NGX^{u%0ZQ)3T#8Ky$VQwVT-3l@rZ_pJLgt#RY7z5b_zC(u?RYlS9 z?mV7ps;xitf1M_5=A=ZJ4yXjMEgPCQU}B%3M+xOch-8L%W%#l9fN{OV*9u2&a&*xfA$O;YILtPW<>Ic7ZMYv3G2{y^I;$@gCtnir;w> diff --git a/crates/jolt-verifier/fuzz/fixtures/zk-committed-muldiv-bundle.bin b/crates/jolt-verifier/fuzz/fixtures/zk-committed-muldiv-bundle.bin index d19c82a66db78968f1741afbbca3ef0bc6e3dce9..93e181ee2604eac1192ed491785cca96c9b9340b 100644 GIT binary patch literal 102988 zcmeF)Q*;!f1 zN_O^2)|)5Uz@I=sK>q(T0Dp*qe*htUywdy^KY{#z{62x=fBgPu<-hV1DF1&}{%8Ha z*-xPQ|2y>kuhm{@{@12JK0SDW0zZNNTl@+2KLXPK2tYu9Kn~P3cF*xGhrtK0zXMfS$bG4KN1AC#lSbg`-l@QOz429x_TQ z(Af>D$HlHngla#ws=!npKAK1@lW+4u10k7=G@|$SJg`D+F}4x}L}OzEH`STtAkUki zJa-XObwxc7KE%lpykA~@yyv)-ipKHH#<#B%Jz)GrbUgE<=DbEqZ~B^DocY}3fTyKK zJJ#BqN(&(i4jB-JMk~|7Ci#u7dGLs<5x=17OsmT(s*7$>97>GWb081waIO_ZuE?UP zucY>%fVc~SV-+~!+13wYor?S7A z@Y^PW@pr`!{C`aVNl5A}#bDBk0VzlMV1=aCdc7{Q$tPIuWg&(f4kd^~fBycs%Sg$t zsN0rUgc|0Xhc+S?T;F?JXM79u@pTKm9XZkAEG$kz;t>yF8o=$_hW)k(1YVE+ks9U0 zH%`GAzLov~mW_~|dqp31X8L$xu$@-7n;C?V`5wWAMwLK;R@3LlZN6@tGj*Fq zCVXiCoIq=sQ)LaIZ)}Kp6#lVWi;gGx_K5D2fwLHzbFjsi^$UG3Fg1Bi(XMon$FHSj@U~K1`QUx*22d`7%qK z42d7eozfq%aT5i*MACV6`&n)Q4VLJw7hn*bjlKAklEA}NnrLeaL6<8!CfFWc zW(MqCNjk_8JVlg|X>C}0-Y4mqdnx2pSW=yX=FtFas_lc>*QTiE?huB^-d5kafk3AO zhnawmz85{YmFl7je&)U{hND7vulB>Gk~%K!Q z?j6)-+IOc%xy+}k67(nY%{Y)g5`I%&ff}WByltive3fId92Q-+FfzYOGEyA)_J z<;56GWL7(P_#XyuqK%5O1E?y3T zfFlIS6Ju+uoMTcZkAQ&$JTw=|bC`$&Zr+2Y=nDk+Pz%bXl@@VCED*4L5xY7MI`zSX*ze+x1oeh_^5KhS^z|1IaUkupVxQ zE*)`#JEsv|&Q2D5nD}|%McPOC3`)?A%+jpFO|p_)yaM1izk>mauQWuu&W=BC@*nI$ z)gBK_cgP#}#$Go|rU^n64|+AJ&E&SMiY+ywtMdt{dS?bJ`uX5t9Hz|5ls-rfu?!kt zaGs<)*&&bja8Cv|bhZIrBA714y_)Chatw;!V^askzj-SC^A&bzr!pQ0C|S1%CvJgr z$lo1wad}8}f>`0_+4GoyHJJ{qmpk{uo;DyalH9gt7wu?|E$#hN z_B99_S9CRQ^O7FqP1a5uZ1=FM6ZG4g5?NmM%)4r@I0;hA@4e;pyIHm^+zEqhWw0SI zhlSCfr&`j*(lY(xg9ti9Aw=vZYma}mBm;o=iGaw7BdiZNkM>vMXg4S`(bD8AP1B)D zVxyWHfU-j3QyB4rNPlHnz+C2c(k<1+$dr*4p@Tqip~0rUxCIc!i`6nXe;NPK$CXOK zOm#Ep=p{auh!6l3HiL(*c-r9So_XL~Q%KkzsNCsdcNojo%S(qNj{7Vwt*V$BGYw^( z?ocs6n~-)npGqf!)5qG_d~?38(}w|5#`UX$z|dI@G(6I^}^00UJQhn8{eU|{o1+& znKJcI#i_FOW|8P?nkoVTJcDZ%B_73ZU{#Q-aW#HKMy~Oh?W2pZko5*wuStgU zYG^Pp#Rg*}&10`s4$piwg(3F^Sco(Xgsn*0zuvKS?5=W@5~V?mvj}ZBr#fLj(ouk3MHekzL^V`w zL0B6pBv@_spcMz&bC;$02y3@n(`#*5(UTqbHrBdaTSmZl>y<s0EC4+cz%}V*f3`MfW?F zyla331BDFt2Lq(o?%LHr)ZlJewlnGoN10{_Ga0{uGTNR>yc8w#s$pT#J zWAVlm3u6TQ@H5XCh7%M0hSE)T=ix&RQw`%&rDdCkD_hXA?m4~8`cMWC>LkhFqcMkU z{@5L89z0Wwp<1wSVZrwg!HVr3t0$ZKp%~)z&IWR z)9V4v53c7dmgA+#L>UIphUuJxDPGc;t}H#|Whw!z&o(0e&PGVq5)~n8@8rEfiFzCH zcV$76V~v^3f3Mp`P$zU`_VwuCFQ=kr+U#^!>OgG`*>!^HAml4efX-SQz((CddVd_i3bN$A$?rOuvF*;}I{6JymJSnKNnS>D@71{q1C8h@+i9SvQZvJ^q2$zWf$$#JlhlLX zzlpOhtg7zi9-{547yB8T$*D;U|8Q~Cz%$xbyftFdiF3o>@GWu;rpZu&${++`2r_r2 zspX~c>8(BEjZy-up=DSk6;bL=W`+4D_+Vo{GhrT|sGY|FaC+s~t4)Awq7f^|Z-&Js z9^g$N&=3A}$XqYAT2zn4-Q0uO{#GLIXX*yuiz>}5WDnCWOC&tLX#IMc*+hh-h9|xm zNztLYzIAboeMK#D&z4{IJJLL;qECF`gKnIKyW>sv*S?Y78AYDg$>~nOQYbxH&3ZC^qtN z2vM#9d*H@%h1BmOUhNb)nxSrzg^ILU8y_Asu0D+qiH61K8QwI9hd(g;TkVe3q#l73 z?URD?FdOH5Y>sc;b$2Ho-t8`S3kYg1SNQ`ng}`%QruN{ z;O}vX2mV+4o*B!P+Eqlt9}{hv7^&)b$C37dvu5GuduEgLaN|AzI!OohG4ce;j>P*F zf~v%J8w_Uz z>z#TVLd2ZbmPTdLdbSIu@VY}6JM8A2a7jJ)Ll_?+^Qxts(_S244K7nihxZtcU%>lf zW82JsO!y>X#N2rK{0vG7|Nf<&`-xq_a(s7-Ktj{h{Ykl{%S8|k$rc7*>^p%h1SzCw{vDMW$2Vx@ zx617csuJ_%qwk+n4V4jLyG3#$8kgOy{iseX5KCoLmiSDYxKxqXKD}26zU@Yf&<)gF zhutMrYY|m^Y@+sq5Fu~77$g{z3#VB~E0Cgfg9!0SVd9I+oEQyB_#vs^9N<@7tL1O{ zliA1Vk~4BVt?>8q!kG2b^nSl-CVB;n|!4@&A~e8;Gb!5Bex&|l7-6N&!(9W?6QFQW zNm#))^S6#oZo0ZcRrEq+u&P1wkD@f1;VcjBI2gAEbICk)e-WpTXIyJja&J^ZZb=>` zjvQP&;Z~u~d(OIiCI)d&tpu5a02iJin?1qhm}^*rjPl6^kXmrcj!WA?YY_bK?wwv^ z5q+cs2-ma8o+g7u$LB!Pdxd6VR8O=*N(B8aLe-_BcrOzZ1ziqQg!x| z6Ms$2WJh5T63SPnWQ$Cmx;^XYW2E4lE3Z{@KsSN|U4jyxev%S$Bf?}gdTx`@-QKQx zwG)C8$TNqcXA4SY+KqW=lYnNr*UhG?$lEy^3ewLlJ4kIzQQ1gq>Gr}5*tQE= zk}*TD&3nTblSlet?IDX`NQ^+sjQ#2Qo9_Nq>}*NP3kKgy_s)dfA6L2EznEjP6ULh& z5p9g_y^gnQaFXSVLu9K8N(~IhPx>3R5@!utcw^P1cThBZNk%C*2fD4K4O-aPPV!$J$lWs#(YMoSe}A8>Gmb7?#g?o=xFr;{!$}+zF1b==w_jT#mT_ zHEsaqm4t(~Fij+KD=Qy}2vH<~LJiuMJ~8Kh)TM;AkGf~%g1!bpS!(c$BJwfUliSq@ zkDTF0sj5a=JKPHWI1ZoSg@Kln8+>_Ad^dK^ei;~Qat5xGP@f`lkQuKicphcJoo1yV z8#9)57e6$sGpZ%>OiKYyWj9|tgmBC}8wCco6|^ZEq--}Bk*N46{@lVCY8+3H8=6i= zzG-T@nQ3K#gwVH+=RgUQpt~_;q2ArgiZlE3KSr6GC0L zpQmJ54>T@NtvZ(e6XzWC_Hn^UfXcXfjYNii9&A;%EgAos%S3e>`YQ%`h(vt^o1`G4 zypD2;b4`wdgNm&w1MF+pL3mz#3>JjJoOEUq^nEr!x;Do!^p=Y6G=auopEFnj(G17H z9>rF_9f>7D4#6a1-2h@=i8#Yd4vJ_l+aLCv&K99O=x2;k+>Js~7&6Ka6|h3Ob9CEb zp!Dp=$RFL!NwL3mr|qa!ZUV)`<6eGd1N?jlimn;RhkF6P!!R97P=$YKGf1Rs>Cy>6 zaHfG=o9^g>c{_qz$uTPtfbE(>tubt>dSMY>l$8Rg@l>^j>0j9 z6roafQ}~A6ItQ_(>e_wI;_GjzMoq3pVMZZ1SapWJA(I;|HTl#~FkWWYyYgbq-R=Fg zjLV`#Srn=Iifq<&wPcbv>d3C;w;Vw+c0}igipR;4o#HJU4lVV zWe4%Jec$9L;34X@ z8@Q{gxrS^tie<&ql8U?d=O2fNn^z3 zm^n*03eX%Ch!z$o%wHzOpEk)%7NK{TxBDU>3JzP8tci zqwH1!E~9O%b?g--m389G>+nw`VEMkjrIg zP`8SeNu&u?o%ID6&UM{VwUo}Gn9@dmF@$;KR-o&Jkt4}*^pMl!S$1k|-prnx5_=INu4t3OJa95;$X~AfwQE z?Hgnu``>lNTfWYU$j&EF#`uNQbMhArVSpH+4H@Rp2x%LU1jbxY-O_#vRH4B!upFkY z5({tC0J{V{G59!+H>aF}t2WiFCR5igA(e>F1L2ce*EdWe(K1ne%R3#NZrdJ>ixBXk zVsLZyQ!~pOi+A=de4%=|Ft~NGWhvsK^h6@pRlF_GJRw8NAl~cJwj`LnueO?ozeX-AEcvnYhni_C>_I4>=wkH zQ`~Mr6S5sw<~yQ4qu6bjlEwW^h$}>AFy^oq~*Hp3VW&}vfmsPQ1yPL?L z07a1vfie%;8F!o-BXSZR6TE_{NbJ&B_H<{O+OX4l|*>qID+?NGE1XN-+>4Nue_{^;&>Ac zv{p?CUC#7|?P%H9@haqh5E3sAn!wUrF@~@suFUIq7RDFn-Q}DKM;j(LD$|U(ks($V zN=THM%~5u82Z)LwoR+{B3iP;&BeLp-ZgXU6u*yGbxavYYMC& zu2hw4#9n0UT|P%UPI1m6a}%w?uuc8;qdBy1>kZ~9Rw8Nn!lz%aG>A+q>@hzeVcfF6 ziLV@-;kH0XtCuOYOj9MHDL%xtSo0+R$O3zsI_i?VUR^Z%%eh*d>Yjca3N&+7_S7%O z;5pFsXfRZX!cs$|BK$gP_nICZrgfnEeGw60^5c%jxin4Um@sFJ# zrDLNVgKkBV&LHCY%h6d$)&%T{t%{0g>{~-Z(1w5;f_^ZR;JYWTbB6!z)_i1)Id$HqVcjFG(LeFIYh!B zZ12RxGF)gj*^fk5B6KV{1CQs>W-_k?pFTIh|7ciL+x~oFQ=<)63LW@6B|p2S;z_@C zzu~PC*|;$If-eJ^yVxC-KfH3vycX+c2KSg<50m90LVzZ5*v}0OQj%TC!_#{DJygbj zyaO9PB3-Vy-JsP@#=$e@6mzHivGF+RHS43{*QU&`*hAbYg5U~U8BWg__Ud6QQLc|Q z@MPtd3KApjs{CJHnzT@26)4^|E?8x_HeWx5OlNHF_N}gIcWyMZ3$+stPz)rJqs?y4b|!Hx^UVs`uj@qcp#DLv zY$cjwm9ehy{8Nmp9s=SdVpBt-WWp6b+>}=I}J%7=9U@Vuxo=!_u5x?fi*FRjbydj;h zl*mI2$IcvCBIMY3=T#O&8?mtQ{+OejMr0#LpW7eQE0CW0B;*Nd1F-$q4#)|++(vs- z?dZ6-@#K&rA9yu)ru1E>xhNmzY;6IPN|qA}P^P0SWR$Mv9qgQDy1p@dsGxVO7saCv z!hSp7&vppr0XLfx4?Ny{15ddpU6#pJg-U0*)C7}F#X?r`+87QN2UnLCNPPG6M9aSndiXZTuhz{9{3_j*!-bl|UIGsM&lwk?d0^ z+|io+W1;+tT~Rw7qPS2tJZtn(vDyZ6%_P|Tgnbn%1Ojs^)K>8PArQC=07%|3^nt$! z%H$!b5gu(tO*GLC3ClF^t(gFl>`Kw%3g5nbEGzD#!QLc9iqkaoKlhlv+Cu+{HOj?n z_`|^0p(lcH*fop<`Rs!^m(Gc%y8a!^;zp8$1ldIv6@I>Esi#Ix{rUB%^t6S0#~Z}0 z=+iB0t-82fJvZAAL=Sw2B?g4*VB8TTX9x`HM=WPie)eL|%F>cgFPsJ9IBGC4T|(H@ zHs^;R9(YYf!@}7qes^|7WfG`Zoi`Xb#DRb^zNM@BOuQ1|lHNj2xX^fp!IU{{>wKx7 z^N8jJytdYih5iYm9ye+Iw|)AEM6nQhf%#uV9;M=DA8xH&}7PilIf;B{0Iq!QH(O&CeMx zuDQ{!$s??R!x$EkSsySEJI32DnSiZeBS-CRk{JWUY(L^e9)C9`Loxw@bs=3UEI0FG z2>-b3{H$5F3^l55S`=O$kku9nenDW8C;?lb0IcDTzB3>MRs6O#Qs@Su4@}>%W%BVs zQaF!AQ|WMWdy_0xpL&ajHz*ETR**5T+nY5R30wgzC_x>V>@+FDt^j|!CKVmuptuhd z>=B(3i+;#yY#>D?x4p>QzkD&^^E7zl7jVC}=@SVlJc4c7tKyCc=FtPehL+79hPaSW z(S1Rq;s;TFbxHXS_l_CA$aw(5+^}@7MU{Dq(m)b{QS=r3hDvY|lXc$UlUaGjG(RNx zNX7r^szSOU@t>H2ktzR(Q7Mk-DVw?8)}ZRTd1MtQ!RF$X&Ke8A=X zIx@hAZz~Vo9LNb0Ij8b2ds|ma5Jp*|mICxHZ0R*&Ox%+}$^Fqa>%{Gs+N$2m23Bg~ zueLmy9J?yZ=(!M6b|IOE*t~!w(-|O>Ql(3(I5d=GbSn6~;2w%XY>fwtbj|>QTc8-q zwo)oM(HEEzhfXF`Rk~Nud#}a8Erri&yM7R-3M1B0s|@KM(ZJ1O4+r|2)t?5A@Fi{qsQoJkUQ6^v?tR^FaSR(Ep~y%>U23 z<%{nh%hW+KcAji6oCMA#)TWc_L|MSAsR)Gz3S8|3^0U9Azerj&4S$9R+=7SUmYPp6 z?rPqS|2F%G4Y1pXITrKOkZ2?BDighE@V~ldaSg z_M*uqHI0f7t!@ieyYbsh&P` zI*$ng3{|0xkybG#cCvgx2~#i1QYTJW47k?tVDK;k&z(S%BHRV15_BB;`coT*wzCa=VVLEvum z&{zmHrmqiE+`LGy=5~$q8W(JR@T>OnHImm9{>rdZvw$QY*a?xtcQcz)M^8)(vmUfR z+~5hCF_Rnz!~eZnilCp^zV!G($ZANo?MY%Qq~RQf&U0YU&2$U(nh(PHC9b`H?4Phk zaJ#d?71N#5jN|z%v6?;YP;qE!lQ*x9Fe@sYor1G~(*8!ju^ZWDJ#o`X240Ux$CD~? z8@1nk{ZR3kbny%dQCnWa#p;L@%UicEJ#EcZOE?Pnz2Gjus_5Pdq%~+VU3N~2M@iaI&%{GPuQ`*~wc~_MO z7;_-S&z;fwp+}>y`@yRT8FlwImzW)xaxqguNqngr6s(S=h-FLDz{pCO*P$Qe+F|-u|Dk8Qp!afo9ZgQBCuXO=O^wA_a~v53tUrP)Fw1&&FKwWym0j=bmh6l&-P{2@q1 z#mmcB_iBJt@b#`xbDudDpZ1bH65@GF#WGP^lZI1tnIP(4FheC>*gwap9tKp`@l}5N zP+)z1CmmR8ieuJ@6(?rjT8TP&CBKhFx%cOAjFtX6BgIezk(5a-yR657V_ai8?_-I= zy%V60HB_VoaH@v9Q*3|01j;%U=_$d%973?vKP2lbM(|b+V7mBsFwO#nlHuip6cEQQ zpBN)36de<)bb6?dqbN>8Fu_&A&Anjzpw-a{VSt-oieG$56`|?$#CVuF9?Am>$K1uS zMma8qVVJYE7YGsIlt!`H!Q+!6eLHX=lVG*fp0x(I{ct z^l4D#Ps=)a4MF;GU8>?&99WQEfS0a*M{P^`qRlyG&!hzF|Mu5YIL#By>TjXir>nRu zrT=xFZ9Wg6^#|2 z9GZ`GZTMt7>ro46R}c%rmDKdSy_ep+(Z%rZ<^h|URT$gSXN4iWqk#|ZpRTMQc6lNb zH5Yk{huTYrU#}COQ51b^a=2=}j*ZP5HOBFha}%tKAe~j6p-EoqG4vi?h>ys

jj3aj_hMGnG=`4PZN=_~>K`#2124nZao=L#(HEMK-#FE3FTe!ViDVg6IB<0qKl2^K&tx+@MJnWXp$9VNMa%OU412LFs@%-I8#4Ln(z~%I zYgaxeH~w5oB_uY{NgZxAlcQOKQX2onYFi_%yJ-3Y=NU&}%dX~U$f+l>KQU)a#mR2y0Mg)H>dWvZKHfRf|Y%!K?`y`oJsVSmE9~{#q zn0+JNX=1!r;yS=!!r?=l)61D;uC?hDeK*K)-v^@kLYm*HX}GsUHK-4;XeUg4G+Q?d zga(}Mp)AJ!-CV3|7yNOQ0^@87?tLtS=*9{qIcAE$O zJLcR3%@0uUxNY|S3?J!K<+5zZqnR$|~t}(P-a{H&K zFZu9u9MPUb|R6rx#tjVwEt}z1QIWiX}&^~UlkeCs=^4pzwJHHr6+*QPDC?J!+;R!nmF;xW>aXn zXC9TKBLvWIrj6wNbuUh7k(41jDFUQ}OGlb(3|DnDZF)%eu zaB^b^-V9+S;4X9sR3OZ8kGu3TQ?_Cxz+5==KSI(NG{;wmTbP+@go}r0jZx>+$}5_j z?;P#>tIiY!Djp3P%5nTYf-z~Q!0Dd)j_CZuC!r`-@&1N+j|V!*^r~&^v>j_rLn!`u zXUyJ&Y0%5PUW>gYZ3^sHy;uw6vvZi;@$#HT;eHOI*DnYDIl(}6*VTnXnU^xsEY@u!`qzhgkD z>ztwCP`h$^kU3t|L&9!0RFDgS*WeF&4|xKL)eoVB&}hNyC;Hec_lTn$5uiQ1rN*j8 zNPllbRVbDrI}efR9^Nu-_}!S}$NcFrl$iY40+3*2j`u1qOQ&bSr96WK069pxlQ!-L z=m}2?P-sE_ByO~ogv@>o`ACYKr|uJ8wLd3T4D)Xud`dJDj{8!0UP?%Llnp$S8V~<^ zlXyjnOIlkyoT%|w@7O5BK=fj>-INfxL6uBS)`};XaM8m|mwtv6dAlo(>ltC#M%VFr zbim`2b*GBtT&1LBuq?)xts@`mFe`cl+0+rD+X(Q*FER>;0@FD;lGjFGh6n)hJ2k<0 z9a`(^NaGntpEGf)inHD)tnHWiF;fJAKf|e!%#_ZV z#X=|oRS*JJ+#pYz3d)dRx#g{tmc zNs+tv{8$G64AL7OVa?=+HTkU?h2(^#!vKQAMg0_|lix($5=}?1#7!%v2maK7~by1ni4%a+Ht*X>J(K!k?j! zbo#?bIX_=AL@wXf=x4_<{x1*o&!hbFDE~alKacXyqx|zI|2)b+kMhr>{PQUPJjy?h z^3S9E^CZu)|?{~2_cR0L2z?Sa_9C;nG3xU#E^dt!%ye(RedcaC~ZiOKath;|-vH zwDvD4He2HyFkD1l1#HYsf}$@!s_;`$RZ_S3#Voa`Js-P=Dqaw)9xjw`Tf240AY~K# z#Gr9Dmkmn~uVgPL;Yj91na>gLHQV?p0Q>WZzRGI=77 z9D>F$Qak#+!poQikfzPSfq$qV#~W)A$=rLCBYiRCUwwTJnGT?KW)yw6MRz3003p?i z1#UD{0GOs_z#EB-Q+JY-MAC-cv2BVO3(Wf&BjrMhv7uMB2zj@D)?hI(YNxfA`;g1mog5^k9|EMo&KO22v13BsKpavins9mV?+bY+la|Bd|+V_Y6@h4X|66I6>47ub$2#A!c$b;U@HHo zT$ZO(igq0($vHg|fM?)!?^!v5)(i4kghS+C9fH6JRko7l3^LdsFnfA1cz~$Bi=vFe zFC+D}#%s_zx=?V$<~ndP=5BE4UB&ILNCH5I50Tasw^Dmm{ct&t-x#R!__yGJXzRj| zY4km#i5D_}G+J{R#&zL_n8%(@AA~Yr1*cZ7f3#ypkpUML`|XSSAImUhzG$!pPmARd$oEJJk0k zkBZ?_i$5E*|6OVL(M>1mm**zQ*hjF?>u@e0OaOioO%-nO?Q05018 z9!J{Cm0E)(qnFIPe1(PnWNeFyd-5>B{1NMzRTWi$iHETUA zVOw`4iTj5LjtlbVVh_r1m@^EJKNJ{65$CfD9wt|%y%Eg7o~0Rrm7ZL?zH*ttP;!L? zh~18b8$<;~-?5*}2w5dsURG%|-be*I&;URQ*{n+5*Hu|T zm~^DK5N-B81rx5*@+;VJUn^ojKZ^k8+F5Ldohid=kT&EBU7}boxuVT(;uE(`|5igQ2|Ygk9^V-t05BWn}s8DO7vJQQFx z|D_5ZosqGjoyOho=lW!xnUq}YxE@v|{bur65sM4>f4dccLW6?>0YM@DUlQ~GtC2$f z8xjHRe~c8;%iobI=@U#obtRE*sDmg@4344i{DdC){szmyXJU^6#^_@7-DT^`DF?R4 zN9sASn6ziy6Zee*641JaN+3d6-fP()(X8I&LPJSLpYnKr4Z7D7>quLdVDaNgPacIB zCVc>wfo`J`#dF{xlYqWI4&RUV-(R|Gt$eP_@zBZOZu!)I+F7~Ppf72kOW~I8k}wM9 z2a_m7QJm%iAA~UJd+c+)=y!q}*DMku=dU^$r|KK1)5?^fU8sSEc|(n0vQ5_L8fAe8 z@m(EA^wVSGaj{M>NE5}8mM(@h4y1??Rq>_S>>rP)Q$xSkRk;a+|?6p-c{&1WV{@YT^%`Q>W`MqNzVm|xQoSibAA5NDTClS4Png9nJo^=_OSAK}D%dt=r93frcFb*T1;*3sk@Ds7ed) zN6VJYv%I|OyaZyy$F$c&lHS-CJ%-7(uq6NRSk{*LuC+9f@7!ozD#fhLyyk3M8nY^7 z?$X2RDF@$;%1&$B`bLJ@9C*~+Lpb|~W^yW)2t~;&{Km)5PGsJ&BHp0pW&#CGW5WHT;>@K!?UICkI^4_hDE`Ory0GmheKHM~wx*%% zh+y>U>(*6r`Orh;LWmwhw{JOip)or$^9~I?7JD0;7=)h8&-%$iFOI#uVe{}kUf%*5I+x1@$mql~W2 zyxvvT(=Nyb5a3dWp%JgV?P}iEOBfbrl5cP@JP>Rh7;1G+9~$m_Q=7V*|JX$+Ai3-o zJt`xqU47kJ0iq1{sxaocs}lq4>(F&WL*wGr{K&C3fu9D+4~zl2+8Vq^ zJGuMvazGCv5OjHXrc~r)OxOHQJ_BU8EXlLV_A2{;0U*SiaJ+5`PpK_Tu2WSzHzI$aDQz&%&2bMf?U?cew}%BT05{=#U`WLzB_7>C|9i z7jz`c?8dI)#wy0hkMWy)A?B~CgJ}Vum;k*i-pkb;gZzGnh=kW_aqN<^@0v9~E*~v! zWT3p)j6X;z$^L-8ndl^ei*ohQK{axjP_QxT5-=2xYzI?rG<37p_%4x<;-DC50v!e| z3?_}!@mPJc~VKRhTe5SCg7an9w%?#k9Gw|Ou zCfNRpZ5>T0zMbhku|;qu_eH@p3b}l68EorWvT4qlQuuaoFkS+@Pc8r=o3`A#q>_87 z0Q-OeXE$R^I9eyZN#uhJ&g)U2^ce$l(h^&-`=TE6*lD93;wz35*FPDEz>gfuDAxUF zcfaiAS#vsLmw#o`e|0e`rQZC5&t)W#>1CiNAn+hn_#C=W2;J-Gczpsx1(CK*y*ho z9XdrTXv2pgpSt**2?y?i9&MNu^&7kGf}J z45$7BCWGj}c*YW;ZGd3@^yHjCB9K%x(ow-)m?%~Vk?Dx+uzn%;u-WE@|1(65v01@| zi(fmW7AZ_Q%cZ>sCvy1_w&mq_lTHEK;ATD2(eN&5;QwjhaW>Kn0~f7Q3!U>v(6`+xyv0blapB>8sZfo|4wpMbHi^CEHmCO(R| zKS_$1szDd#-nuqXBfDya__HUptU z0I81$Edrj-;u0%S_|Qc*Uy3ATm0RzxVa4d)xT$kaGZ*!Gy7 zu8O>a{3*bfUTk^n zDXuB9k)`D+$T{4nVY)Y9SB8B8#Mw>|Vec9Og6oN=L5nX4o<*aZQ#tAU09-8g;9_Fv z)gW)ETGfCXK6klw>3jyS*KWAd`>be`w19e{+Nwyq(ghRpyP;sEK#}NY^+6~5fC0bx z4H1_10KF8k@6d6hb<#M>;3IY4C0i5oE}~~CVHbsew)tyrOCpr{wl2)oks8KvHe53u zCIV<-3bCd*U>3N-a-8C52qejN2PT*CzM(C&StoJ)jY^SURy!h;rY_=%H^O*M6~If>@pj94@GwnOKjn!suz7ffG1{bgVxJ+QpQ?4--=Iuvt7yIr3E%n$6`ovX2d7ea2J~U{dFsdVED{+%NKScRy z<|j_d60!!+Q5g}7_g|)eYaH??-RHc11xAzNUL32|fXIG)hWBL!o1}p|9m@6M+>lBC zt+|ZLAd73P;y_m1AfG~D2xH2~Z68nGwcg*R7W2!!L zt>EN2m))CMep2ot{-8maG2{uZF^eh_(>-+huu}%}Lzr99#h_-@i7gB6A*r`S0}ewY zhJd0WaDCsb`tH*}wzy3OL3^TnUEWobnLv#Mu2!RSlM}xPJme)!5U6@oh3jbW$}hgr z^46V+lJ-~NNKU~h&YVaXUTo%Pqh|gSQ;p|^Z+CJkx92vu_br?)p{%pdg&FV-O=F*5 zxNa=}TR$~MvZ2kWhj1m_dwGJP;C|~JT|&{!)~A~s7b$`|Jd$dsS2m*R z)M6tigwTW3EEH)%z@B;j6w@+V`IV>`+xzT+UVv!q%!1GP5-#791%0vN1uqhWC42wJK!s&#QY7sI1wGY z#H=9Vp#L;yPBQ0o}uI~Rv_(B?u zS`Qo>Ur7w*&m}p*A;DG;i3l#@1H-zUUEjKx3_7ejzpUd^EuIL7vv27bh-?-G;LPle0@s4qF%=XR-LS z5*ckJ+@Bf4ooJ@%Wd%k(Fa*tGHivE@{sL$$D2q-is%%RdUIRj>@9@OU0k>*x{3zma zM7J-}TLFLcMC->|Rv-o-Yy5c73m7IH4X=kDH zAR&!EQTrM~i@}dmMK@cQ5(~ggODeIM8?ZwyF9pYvt{TG~{yLs<^}z)jU+R}mD1Tg{ zgQ+gdxxExe}n0VcSd|3r!r z$a84=55peo(RN2osDcy)V|U z*+Kk(b4S^H^Jl@ebSys0bF>RC2$n<`GB0=A?w4OP^v)-uoAJ-FURs_Wd_?84WsSZF1CW0 z*MqnTXRC&lf6ZC&5*n|SI-7Ec2tu*r-bCYcCHsH@q4GvjAdg4DFy#31yPrz3E!O8x z(-|)X`ylONHYRl!Bt9~}#R6O%$LEf<5F~Vup+DAJ$xu&$*JM57cUZb5GBPeO_6XrG zuP7d<(DmpnN1`vw^RnXkTwou*BRvW*vbJn?&;$?uvA^$OTi%ZUN-Mc|=|ahf#$N5!o+oak>7n~Lfxj$Qg9V2xbyjmpb?Ta&b7?5D(#z% zLo`e)#xEq+K|3y!(4np`cc~w>*{&j2obe$@RK){)?~d|@be8AN%t>Udo6wR2g>+v( zPJkl&r{rTkTE;+fMt!k6F`@{3WUG&~enuoMK)9`9q(?uWI`-s<%lK?9`x#zcKyZ`L z?64?7ByrycH0nuruo=vt5J)}k(=Kh^n%b%Y8m_;zG70^E0?-XDP&Ud|Li_>e+rjnu zo~-mW4B7tI$UhatS?kN_{4sMY9QodZi%0#xgH|N?(1A&f6*1lq0&;GojJ+^FyF&vVo=x_AL%<*0ERuqpuk5)z_00o))FyV!#@vxIF=@#1sBUIKY^;3iJYfqC!hz9)5Ao%skY2-pXY1YR%r6$W%tsi*LuihTWtb*{p^?XC z7FY?q5qljjMlo)ALtr;0?v%xBxzz)k)+-%xEU4KDsBOF~$j#2aapZ!j^O7X_&9pPE zB6q@9C}$pI6%FD{BwCXdQoa^w%u$^M@n+*jGCma{Qn&#swBI7dFH)t@$9<_oZM&3ri(nU*-(pAGQnH zHH%(rQN9C@=MgEYzcm$-r6zrF3n;P8nsXb^;ygkp1^&?0xXgb!n|vZ=6{et#PpmBo z?X%R)_Tz)14@kq25tad@*JXOg7H10kfB{-`#MGHJRF}d~oK3QgQjh*brLmAP|pYZY>hda~e}1 zHIl`RRdLzeR2OW7{bf+BZImKxA{Wk+3b=A+X8+7l>er3TNC~WWc^7Xb|5F&r=aGL@H;}iRU0TtE4 zUQi?6#sP|qaC*=0$fb{aW339~U)qg2v(SLMDzXU^82ti#6^ciTa_~yA#>w3ZOrVAL z_+NfmCj-j;5eYgkzUzb3j~p86$s8ozAzLx9Qwxwi?s$2x6&DjPlL;ZMNT9zk42 zVt=LfRuzW~u;{p!eadKSe&teK$91_aFOe{Mw!0_u~A!Cis&OrkQ-{ z`aLBV-pbw>aEBH4^%t|fsyHPZ@5J%`D@&j3?cP>s;{0~ZY^^?@o`Os8{-mgJYEIDG zZ|iC7DaQHX>Y>)p8`Rl+z_3bVGct`~Y{fY*-BClUUYSyUDFwa#-hz5Cr~El?SnHD0 zH3|^hpd$E(P+%XpBnFS4A^U&-o6e8Z*2)&Zmm&~A1qgSy$Ri*6)7`uO7Ddubz{_=IR90{_7I~0>9 zxTIT0Tc`^NS+SK3ss`#s@Ya(7K32?JqFCsU*Z@&Oc6k<&0sm%GV?zZlA!0$di1g=L z7z0pP5d@cRQ$yFkN8f~1lH`Ix#P{o^QMEn*UnpVq+YW?f-& zhJ2DD+0y(yniAHVkr~#2&vb>_TtT!O_>YJGURnxQITic_3jw)9_t`N6D{;>`h*e{p z^-1vT2q`ncUbXQgirl>-%`RsJ*S)1=jUVV@deUDUIeWx8pl`Y%3tszRYWOlK$3O1! zzj4FmXqmolpy=tyg7vo3E+7@h@qC9dw#BrU~-&( zy!;FWYU)+jOKozEKWb-4I`e(#F;O{R0Nu%CGd(p5PeLk2oAdE6BDF9bFxos&8IG`O za#Gm%I7);^~lTY6Y~bcbyef| zSVAK+Gfp2C2H2|j2s|Mrom(r2w_tnNE|RkxyHE#g)88sQVJHIe59WPTPKHL9}Q04SqYMYwoiZYNT5cx==gWLO(98y6WUfQLK>L*TDizVhd3xxKO+U4!%GFF zbC5@Q9T&wXUW=cLtEefx@K#WO^Hb;ImAcxZ{rgu2TSy*puN%>LCfGRy+udmV;v09} z*W*9ZkEM_ge(o0s3FphEKO2!5GHx2iD0)OLw^6t07Ok1P@XsX@LTny;?YNLn!ao(jp6wY?diYI<}O zYcE!#ufzQNIFF{}sSIZ4(h~D#h$z(ZKG?jxuUSbNM%xri<4q1q==7AEZ$Q{{z&SM7 zk{>tj!vTYQl3leK;Seid5+vRL=BD)~{$b04&?ZSdN(=jd0R@fc_6HRO(91xgEyIiH z+0ti@$4Zt7f#J!uX~@xUEJ7r?u=mqC$6u0uTVt=hSuH1>OdyWol$Fug=1=P?E-X?1 z;Qt378SR!C)u=G-9i9~V$GJqD#~lG7f)sM90Z~r%l=r|mIkgS}{i2gl-Wv%p)DJ-7 z=gfoKdX;!u90z~&GaHzC>!U2yBj;t^`+AW{P7 z3O95C=p);SRQr$6qGu0-&Orf}7gB6G`*uZeezqJ@Anymsrp9LQk@^SZYfgls$yi*} z^xeK!8oqHYaA!^iC;uA!Fp9

oqWkFqs;kB2Y>az?eY^O*(EO1gm>A1JaJUO6mqD zUn-4a5mVH>eZ;<_K=PVdmH;XS$}b-Y7lLaHq6+08kkGKkQM*AUE() zrvMbg6Z?Px_wL}W8K{w~3TkY`%-G+Net^cMQX+PMk1cGZ;eT5evVJG>OS2smcs7k_ z@xx!ZSm z2L1KhE4YZ4mdf3H6akX2osk&uYqJ2~s7byg{pa>1ZuL7O&osDU+0Mrce7WSQdDyXr zaXSQRG}Dc={8^eV8u}0=A<0)k6CBS8ZGpuD_A1}%Ys4KgzqO^<*Ld5P+)yx zF+t1#xA(t+>Lml2*Jx^m^oY#Cv_c`t4x@73gi~^xMz3vJ;Ma}P1eeK&OoWMCB5?ctD%BNGQ^6?z4X@%f5(a?A@s!~)D>8< zjeD+AlRg5)7`iOI*YIGT9;`NmF`0zV0g&$s1mo#H!9$h(ebxS56rLG`Vdq%W^87~?!0EL|+ z&7FAx&d2f$N^z*OP#YE+M*A^u&}qf(lvZS%Dp0u`bBJyE$>IOW2gNOb-H#6H5F}Zh zvnI0uFYpTTi|t;bkvsqESA_LTQL-!2|5Goa|B*~kyXQ?S!(zmy35vpmu``~mkndz&%AUIFqrViV{54jn&sNR@*dn| z^7$4ynAB%(UDC|LD+Haz^!9f^WbkcIzYaT5+`C6l8hoURhcsC;re_&2Qq|0S`4S`< zujIzEUmVxvd?qA$=kdf9C zdJT@!L<>n8vZb{>HwG=Z!YgZA7-iyI#K1#ddk(X(*bfyud=0MnyC2K;e#XLisOW|; z)F9fdlle6McQ1o_@bhJX6fC%L#*A<%95~QoMt)qMjl^de4%}%(^aY)d^yZFGX>z+( zvpa3eM%{#(DuxifadRdk*E9Ae5TT}Rd$lDyWHSpbA zvV9F~88?8xpma0oUeAn<3T-sS@dI;UGb)7jmojgLHm45lmNwJI#OI4oM+rSM3#npG zy<4R#N5Xtwjx^f@Ge)c-RZ?!CC*6AUPP?U#5dn8+$ln^1W-3se1#L^o)`95%G{^QV zlGO0P)%WYT0HXX`(FeP@?QG+pisYO^w0~?0X-r`fy>Xk@3U+I5!MI$H~@8Zm-4yK8;~qEgs)+fB|ei6s>kweN0{7mlx|ePW&P9+Jq7BR z0t+ZQVjs3HT~g2w`fbj<96l~9R!OU65f^dJ$@YRN9nF;v@bvz^i5wMbGW7(0G~bO< zY6WrX@<+B#r(4CXAMv70YnXDonnIeO-QH?<-40FhXVL&+UuW0ep2|z2ANzm-D(mr> zycM)dn~UpqIIzS=gCnV4?bKA>e~q)O4!XK#8~dV)UjmcLvjfk zO}CQzYKBG*y-Wyo1WBG7GtAkAgw2F`XSF$waVl(U4homBT$hgszuN~JiGsJ8wkwlp zK@zY&;0bP*i)TD70UcMA$-_w#mij#Yni*0_(U$m(Rhcj6vtYy{&yd{sk-zA2Z>Y(xqOFT9VR01`3 zgkRB0Ez~q2K(e_dWoYQw=9;0Qy*IxiE|$;RW6}mC9F8T@&}&<0=gKw?!~4@_q)7M^ z)TnAQOb~vy&kgruo*mwz(9_yDj-qQBVZ(&Q@Ok=f@Ks zfAcK1G?i@f-k8H(P;QouAg8%W-cB3lmXrS1;cbqf0<|q>Q{uI0?cb8$rM7!p77j#5 zKngfhJk7nc-E}&3A{z`7_thuYLXb9%;7c#2Pm|u@O9wIgoWZ{c(2!&9?`|#Dg2_K( z+svv0yu31q!>S?|b#iv__H*dqt|mlG(!M5;meriUpKQz3X^~r9U~f(VOZN`|FM>_e zbxG0%I6NRQ6FG=z499l(F1M}k)Ned+0k@Mm?eh(a>I1$=-^>#GfB~u}?S15n=y3x2 z8xv#WtpjbTeZ#ixW`QkcI%kRNMiq%%xXVAbixZx2iUmjk=MTBt#QY^fKyG8KiPB!PV}Seu2;&mJuhb|14A zAWa={<pZ-BhNi(nsWeifF%|ih|&7B0;iX<0Ys3a!G z`uORP)GHGBH7-6h3sR%VOlP7kX1E*{-fcjVB&~xGF~pwmTnH>}*Wl3GLf7S|j%sxs zZZ5uVMP$`zWYkxey#miz0Tr9S;%Sau3{YnRBb&=QSe{OrR zKSa7jUAhCN*AV-F0juA-&JO!1CzEfgAIM)~eF^DJNiZESF&^Ngj04;_NAWGWd} zIh81uz19NN3Bq5tx6K|h8D%At+5j1k2ABiip8^t|Mg1hQzC?ezk9JZF@upSs&j93E z-d+_Y4_&2paQ7RzFY|&BTGzZbo^NwlvSZp!L5*MKlepA24IFYn1o~%)RJ64a*M>YT z;6Q;IL&=0N(F8*dHsjQr3YJ+WV6H`n5MbeXa;STXSJC|^MyS;z^6(xD$*Q^d8p`V1 z`wroxoQ)NzfXriMKIjuYUh0R^na2t;8YIt_GC zF2Wk4@2Ao_B)Xlr_7EznHV6MpNH({ZcTXwtwI8b=5c_}urUG`aqw}RAi<*^>xF?2u z{PqN!(D&HF$w0{w8f!!b@RZ2vXU?kUO(l0!PlkK(92N|ew99=B*ar#POy#a1|Af{^ zZ;G_v^cy8sdw8N+O0!qWhE6|X>H99bQQ*566AkFP(W@-);@eqCb}dxhD3T9@jS}t} z*F__;p}t54j@>pqRkde=AVPtjIgx2qjjgU2#44_qwVu4+_qy+I!!a{Z ziQ*_@6Jmrh3UqUx02sCT*852UCwxbb?-M^&N}^P;y*(6h{sP2Vh7!$o;$unAZ)ar* zqS5jf;BXI~LEL6ZthS?HqX5da$W zJKkocMsc6`9^^ka2>b#;Ee=Itw)ZG6fiLg>d$NA!BUlq)5RyJ#aoA5UQ=|npX30v+ z*)a+g`+xx>mt^m9Tuj@C-UA$mNm)dbzaS)bK|Dia8A=8L=Sv>frjK^SeCW`W);jF- zW8ZKXFW%7`GA~C`tX?X(@5wD0Hmpz9QUREAQ2WUe7j$lfN(A>GmM4gf3z>cS6%!x3 z2V>m|A;UuS~ z9f7}u5X$Md)Z&h?#4h4#u_+wl_MIy=Oeyb2k{U%Duh+5Q# zWHR4C-wj5EU(L$=+M^}ev5Qu3QxgdkVWVQ=UF`kG>Z7?)U`8M4`N~&a7K~I>*pnn*(qYDJ`{RKz35g6ae+Vkm5$Iyj&oe+afE-IPP+()2+amq z>|H1A79oc45pwhG9#xe;{I)tt6ePJ?TeT7UfB|O8le_gfCW+J{MK~~ZgsvUCF8M3j z`F9Jk(CVRqwh})G0uv~0G$ZNs)N$Wa%vegBu49-K?1^M1*BS9?Rw)bD-}s=+msUwi zP+vhFRJn<3J`wT%rHRhd;MH?n&;o(htiW^#PNc^O*TblT{F)U~t*fc0VXxCom+4UQ zQXpSQfmPr;BDUT?$cjrw>$eKL7G|98hitoWxHh7-ehB3JT;i6xEwtZ7I{%#v&ztd! z_cZO%>!m80QQM??D=4T5`P{~Bfnsz+yw<<573${P^Z~Y(GRX_=YSO`6`5u-mG_`^T z4`Ry$-#0X&nwiqr{wnZXvB05!(0LE52Ol&Uo{N>tA@8l~x|Hn*Y+u^Bx^H)6U%j>G zb?Ivw&qSw-oTg>0~@02d)p zSVdkOw5+IE&tu_J?x-hnzaEOwy>FhmR!Plw_$@Yg&MiW}oJvjp00*?~)4rCsDG>XB z0sBJnr<0s$1@C`T(Z_JMd`6rc=6Eed$kqK7Lfe*6gE2ALp41s&1?Zv$|U8LyVy52Thztr@YeMq9Q%16h%%#P$fo3F+b{{N!!S?f4#;NH ztz;Gg{}*Q51vE`hu_@!0DfnnN%eZMpGCQ(UXp6%3Z4-uMRYb%dFLE8&d9?AJ)e?I; zt;2x1P}Z;RC|hacInMvMu-CrP(d#!w*C+B`IMKq7Ut#*Ui|ZBNTCMY+`3*dsDRNONaIzpD`r6N6|| z!Yp7>4=4K&lzzFz0@Id%Dm@`~>{^_+h+g-B^Fw1{k6C=!lF}hN6UxlM)=c`wOg2p1JWFDnshq=B-R=1Hbs)mPY6aW3B8ukX;jK! z+5dVm*)SsCb2?v#y%mdc@NJY6zSbiv!HgSq={XL+P>z~|IIb<9-;@cO%hfmgrXU8#~ci0=Krdb-%g5m(?5A^tT=g z_U@cbX|PyFwB+3zZkNx9<-re1qu9d-;nBL0np_;7Lzndap1SM?UzNBS)~4g-1d&>p z7oD6-{+pK=Vp<+vbH%AC8V1q=+A+mUz-a{(wZ@j+hj(No5cCgLL$(1Xz%yUQ39y@P z+RE+6@PgXd$@&QQshou44>YId$8rh2_#QhxW>MAVi@JC&?38Rco=m+e@~!~}4GEEa z%ncn+;mKE(MB^DPklU(a{`X^Lh;QJhE2t7XbQnbDd0+xybRF8+dg5(UL)P8!6r&IX zH}D8?jsxpuxAc^+m+J@w`+xxh)jFq*GPt@c4lFUu7Ia;xQ_;L4v7L)I;#y|%)(;iL zZ1EngNckdMKgt626dbW5TQ+QLh7Q?C@NlpHFwzuSsa!>+iK1asE0Q^PhP|o$Itx-= zoQK`_CaR~i1pyTGmLR+UZO4O?t3D;=W2*h84%&C zUi#pik2l?RA2{n0Pox(!O+p(|E!!XzTH&}cU~mycVKo%JD6W|-qt{_B^XS_a z($(`^DQ~%!LG?|A3vL3+pgXeuD9=A>3lza0-Gov}GDd_z|EeU8k1&2Cw(<;fS{f+* zJGN4g(Q76;b!c^(*7drSM6)2I;U#^QX?!bALmvwu@tj}@j203N*|ANw)cTz{toGFm ze>hSISyT@ZOJBP%jE@oxZl6{f(%Lp)6S_m&YYtEMQfUT7MMV|+fB~hCDaWA3t*?<^ z&Rdus%!EBs!ukOj5SQPmnW>-zRxQ8Tu%sKES&V;>T4k2G3$D(dq2sg|&UvKqY!-<2_kBSC-``)0k_l7kUgd&(iZi$Q7 zGRN`JrxlOW?G{)4Qlb5!-aii2t7y-qUK?rhXJV1`$6zQZBTpt+>S2~ZFdA31HSE0r zHrP%QOB1~3EJ?3;JSytLJ+T`sw_X$N}t zN|Pi?pGG`a%u!m^X2I*?d_3S*k%90~;yd7Mzgq!qJzU<4->xIcVsGjkmFEECO_O zk@~&GDARG~;cOjda_r9?`?{eM^(GV$-!eK31;*Nb2P`w?2lI;7Y>R-&*$r_cw>F-@ z`O-Dv;j7w=DJ3p*n_03W8hIM6h%?ea0{DcxcmH^bJKJ^+MgaBHiwouUw^fCz2}PNF zZeYwk&3~|Vxkhg3B_euJHuK<|_1R^_q*nH~0LCg~HFd#5e7MEdI#F^LM6; zK1>=CFXfMe;=5XDHPI>g^0pL z#X(AjEcuf@BT(MEFJdKvF>Joj0yTQ>>9bs87lts9?+`i#@#9ar?|-%9hMogt$C+l} z6+XiqrT>MY4rsogdh)XG@PJDO0OXfA;-rd9h_b~0k$ zQD7}B1N(ph;Fg{OGbkqwaaV0R!b*St4ZkB5wS@kN>h0#)fW+UD2CFJnJ#v9$9*Qio{(@6*tI5L4t@ zB-;=d8G|HPNKkHOs}3~GRE&cU7^j8`Yb*%qM_4!Ln7H7?G`)wN7YtNE=cKuiW!cOF zaswbFOa!y~&iCwPpeo7Rs8v8T^rlGJIO~- zmL6jjufbE?I(u8&&-=Rot7fpd1pHlStCO()XX0z(BuhAL?6`~g`CP$(WEG_d^N#5i zB4@=DQJl!l|J96M;ethxq)`C`>+rQo%3{w8`+xx=V(^_PJPjOq+rL==4X(!4^iwdt z@4<=&4XzoXc3>jY2jIntcR?@6?wPZ=1%`Fn3r(*#BwpHy?z@t-&{F^bJ0Rg2=*yfw ze0;rgMHVBAd?9ckPBw*ui?TyT3-t(@MMC*?&G!=%16N)@u<@qAz}es2C1Y9nymMad zNOlQBwpye5AmI`l>%M*v=dzrOC+E_c`cq{RSn{T)jXfEzPnkex71e387UudngGnjM z;#H);dm-Zhs+#4QQr{B;T+NF?PcA?6W%cE`{zZZtoF5A)D~aUzLeFT4J^u^`sO)(` z>ThC)z|GapOc7w4{nlJiQX;S3-%wjQf0G>Q0JnhugEk93gbtnP*`Xcm(2QI?e@H^i zEciQBrfwT-Vd(NKLwF1U$oq0H@-h0#JNiqWbD4n)z{mF%e~klY<$n0wWG#xC%(%iN z6I8DsV;$0Bchvbj;BG-`h@{S~gz6s&Vy#!8Xa2&ni{etjlyS)Va zfC0G|@TBUnG+@Ip1=<3?ri)!DUQAL4jSP6a{|Gzg^B4A^<9tpu|AH`Mww`uO$#Hd; z^mftJgISyK8!8vD2(`>?)9zi5UC{ z)LwzS;>|`wy|A1rm6=?xlYiF!h(Vgud;vk#OM0=EhbL=n$fnkak8?#93&ylS8^8o2 zd+K7puMDXSbmIHoWi)!jFSHky8c(TsjG>YWgHVh9V&EN|LL4q}QQAeuZ=0AuV%My za#~eS)tw_=X_~th4coa3fCE82E(0L?bYZThvT-XzYS00a>ujj(E)nd&rqo!8Os@Al z0K$L+AVfW5c)RH7qlZSslf^0`>ij|PC5R1q;It*KP9DH$Cj%hc?*1K+q>hD7&qvUn zONxAtkp^?jVO8QgEgl}LNVJoT zAcO~p$TG&{lxMvNv%Ty!mp^jW8}xw~f_*)jP{MUDt^olcf@|u^j`W@S7L2-;GVLJ5 zaEcHofrSPaU08h9;ErM|1_2->i`Z6L(!L9(Vt^#>kuxpeWlcZ7ZxS`7Nd%+{leDD) z79f3SIM1vRB1dLcOC{263LWxVR2;U$bm2A;r?NB7K!5`v9Asz^>~cL%rx6uA0)bSe zI1ZVdKD$km*!4~7VmgTg10aD7vPXMSWy2E#<62$0E&Cx@$YVo;XkxjDjaSz7<&gs* z(i#X4wiJrC!wPRqft;S?hZ4NwB$#rHX@LAF0kh8}10bYSoE?tJMT`UwE6r*Krm)Dh zGSeX73R!$Z6O&9*oe~2eYa;-Y^>4x0CJ;RV(!GDlC8Z%2J1hb!PVGf6agHLT10cE^ z;4g|5G`9;Ky?XiAiY0fzPL^_Tt9lVgjynKkb`Jv}6TXPYClC$j4k?dd#ogHm4E3~X zDa5hq_^Zu6b#l5Q10ZHiy7-^dX1Q%99?9F1cK*c(XX3;SWkTOguqzyEW+ww65;=HU zr=;r75@nhu+TtXUbw8gY0?Fry1D)7@4PLDt0w6uTDBhBJh!}1-;;Y4pQWc+pJH7i> zqk!<*a}$d=REPo~1D-A82Q??U)ezhOEo+i8YnP2QRrr)o#O>^soQ!s+0w7DdNjtV= z2=0jN)}G#*-FFaN#M~;;tSt@>gCa)Of*JxK%r1t!q9|x@^r|ux{e_vk0;{|rsL*2a zYqtZ{%AsPY10b?VJzP(fmP@Gk=(&~iPV7KhjvYUH*v&8`C=nK8}9`lG< z2NVM!?+oGzz17mz>6)uh?H~{APHDaD8XX2w%ekAeU?oc$@?Pt8A|9@a@Zh&RsqlV67B1pa-q_=qmE7FdV~+Eq8j z)FBI0Bn#M#lC{Fc&HEAFY)Nl#1}+wKF~9D7#W-+OAZ&t1OJwQne~kX&wwOp+#`--Y zscO99n`dP19h53WbPz!L`~%@28dL~$)BgC!qhY#B*hvfo2jz&OFlB^{Lws5Y;1Q%5 zXyyTGDoGpb_3t8W&ycwYW z{eh2_9rpKYEsOyI2*K^h0p#G*Drr?=?M*g(*7}UgA7+dku_sR(@7a(7;ayA4v}67* zPbvk9-)0+)B2dYn{A*;H8YaC1gI1O^vIc~A&ff{<5!@Nszl0Gd>5v`qrXDqYOcU5v zahgD{bF!#GB0_RWHBiZ$J3JGkxH;P&mWz3=8PH}FF)6_SpXNXeO1ual0xjLVMH7+^bcY2(i(AWj_lv$>$Ya}#eDI!mY#+R6L)%Ar*~V!$6zGZP9FM37MG{srlu))&YR2 znM;7xdXPyvc)2@!wPX7)aR#+HNlTk2Z0^*y(lrAJ;X|U01QhZYWR6_-BUkRrTx_|+I5rpKv zC8RL~_NqEh3%}$}J*p}r80SZ=1Q=MMQ&{Oj06@4atOl(3w{?`mhqpE5m!nj81w5JG zy(ldT-FN;YaUgat`Te^5$hWdk18E@6b}YUj5b7K7{wT~i$PzN>{;#G20OZr&36nqw zn2Bh9XycPioSJ*`i1o#tXc$e~)#Ars4+8*^zaP~sqkT24;}-j6mQ^S4{2)$KmNYN= zPmcy#28E#kz$F;>!|zCws?x~34XHLm0mijj2<*T)oa&F1z(tf+H~>(Yj0P1d$NbRS zTh;IB2C2h@@~ipXcHr*|uHCEnpbi}XScpo~9Jh8c>sIn<*rmJXvDo`0*HS`I*@^^9 z9BgA216oJz-;as1`oCI0eGEVRx>zX;lU~TH8aPGs{%tj_lMDdR2UFQ3e-?8Z4fbGV zT&hGM|4RH#rGZzs_7uej zM+*QxG8T3zxMTBD&aLL%UNpIz9gn4PLqc{)qgv!q{Af!609OV%x=)N0Fa(+w$Td!m zT!m61;+Cexu?L8>3dJ3}tW2Ahxb77~d>hcN zPfS_Be_ivsDwZ#^6`!|zm~x#W6{JG*bv;Oc5CqT2>Apu;fj}0@3sETo2Q!Pk zg}-7Z7>L|lQDSbaj1B;1l%F{T#VN%N&%Ww0PF!96fsP0usn06?kvlXVQHTx;0G=9u zs1BONavV^S{$7;6yF3i5@ORAQdDsZsrn3gR7J)p5ONQGJ`Z>p-x0Jg=L|xucfi@if zw~ub-n4n)q`6L1WcmP2x;e7q_tGRKl=g{mMv#@%)T6)ZE(55W7U0aiz004ZktcR8{ z6xWtf|2s+9LcQh&=6`(ina2-11Qm$Ck{b&EIsz#hTfC5P3~h!P1b1|{lJZXDfI! zV}!cB?9PO2+vWHd=ljz6yqS#>5&$S{LF)@tK!K!HU7u6){?}>-YUTM^Z5y`MUC6`0 zU6cg?#u>YhgyA-!2j9csGUmPY{*fpVece-ImAF%ZH)j0;5JftdGrDVg#LHQj`c49G#3!NWp<|6;h*~lveHpp&)CeM9TEPWYc$tc?SC4~<(Pd?1&PL z!^Rf(n5f^Grx3J`lRru*zYQmH&6Sk5|m z%AtCEZwJbT_nQUBNS`b)JgRIPG}(pdcw&gI0kXzH4eyJT=u&YIe=vUE`V++KAE({x zWs_m8-_MjQ#s=vPEH9iBi#XNe(F1_ZBWpYUm{Llz-KNo79kMGs_^dyKv%&U8i@ACVO_)2Q1OOqAjVrGEdb7jz`xuJl zT&{Az5;_oQyqlw@9TXNCU_dyn$(WKODir;9jlJU-R@Wl1R>9UTQT{L518XGVv?G$bx?NnP`qQy%Gm|V-HUs4@|cpcBIPw_;6eDXN0;;n=;!M@>1ykS@>*LZrx2LaGJmKSXn zmMr1lJusDDI^v%p>=gB~S#>>Ga}vJzf@k!Hgvv&>CK6$Z zPr~xD7Gp60DDcu_J6Ih?Aaeto;VBYs^hu$mv_E&wPQUGlTo#go3!9I3`E znCJ12_GTc%=y!ZSfFbWC)(fPjUj~U@J~;9&m2dght0sXGQ-#e~RB>GUxiLH79(4X7 z^%!}X8;4b7lk#Q0YC}dV=l>g1C-&hPQHL_OaX5HHP6q&zA&Jih`HyqT)`>HIG?}~E zTUZ*pd2U*0@yTaiV%VkufTCc9v5Rw)SessPl9GX2nh-RY#4JRF0&hPW%8R;975?JEO9!C z!r}I#3EfDtP-7;E1FaP1zxT={3Kt(AGtE&+!`44r0RkSb!%YR2ibHH@RUmeFV|ZqH z$Juu{F>vEPf5R{ zTQ8pUSSSg$f%df7n_@@^T>Y-G;0tra?1i7=%bSk^KFP6C@Ny07vazQAc9R4GzLQ zR|jK$(8wq_{dJIf7T=>e{qo9~1Vyga0#pEMZ91%*^G0AQIn}QWHp;ZCdXvY@@prCQ zzpVrSwd@g$(e6FfeuhsZWINE+8^lWq57HkmDFPCH^$LrMw+t8g@^!0%G(egJ@~Syoj^XPIUc>YVWWqP4hUsoM=lNi9h_Q8B4)!igFlXIDx0|090 zPv$H}FVDhSJ0Bo3LViVeWI_xMofRe~ueT~dm!|@Nw&j=iGb^SdFU$=gq@&iNN^?`%ND|~yH&=~5*}OAQ zGwF7{Shf$30yz}R7k~LheyiVo$`lshA4hg8J1(f(J7hgH)p5BGv8{ zEiV)CAkU9~_ijb(6TXOeaOeA-Rhyahd^ zlPAvdafh3g@VyQLy6qe4w8I>T$7l(I;7jbzlml1m!uOC~q*wyu5L2^&T+dq?v^nEt zH~?Uy@FhijNqco%P_%(N^?w?k5PzSi_#Mpg0{^?QK^p_bwxI+075b%Yc0~+gwIV5;Wqt_rfqFtNUOD>c7PGgPH)*U4v3{{ zvPPkEhub5!s&AeNY)@t&u?Hp)dDn5~lZBGO<$nl1N2C?vWEk(R1Z&Etsz*?bhMIQERWIO)ovA6-OdJvcL^|03;I}6|ZIP_O z@@(|nwG6kWfKeJC{M0UvRd~%ezGznv6c;GVks}LNqe&-$O+;~>J|@kv$_`=^efu*- zePABpG${8U0<3IgNHtTmJJ2}6-LC3KD#gPsvA-tUXzZ4&T6D%LLzl@XY$7t+D) zXk@qC8CUgdZEq!`)B71X z(IkXR#a6&TGB@H-mw?L~NY$C3F`blNF2?q=fz{5-Y+y3VynM4%aKySH`@ePI{XqUh zG>gezPn_UOhD`7sIQkj3(Ab1}n4p?PB`=6{hVcf{%0e6(D1mz`lAj%&2Le-R)d^ze zJ{Tvu7kAdHr<+Pqpt#(u$P^h#Dd(2c-*`8_EjG@oCw#lP3 zznPA|5~9>Xstt>pnRR0qCXz7*n!o88#JI3vbZd>CYK!;1164$*5<23w`{5ZeV@dY^ zqEY|C7Y6}=)!4vFO$$XO+%?-wX0f3(A?lUG@A`30w;DTB{R1Ts)(@#C2PSSf;Esae z)`JxGjh~of?CEnDu(!xTTg#d!66+g+m<|lnr*K3Wk0#5|6&Uy6 zj`cV4mMUGF>Xv`Fv*Acp1f=`Rm9fegB5qc)1R4w%;)3`usB_ayp zf$_2XH`Fn@`mw5YA#CVdh>EVGd zNwR2sf0lYUI=_l|F|(J)7xI5`8vM{a>$vb;r$d8>2buz$Dysz2;hG)4M8vTb6A3466mIPQlK~j2n zXkxCq)az3MAi{=+0RDW$E&Kd4JBFr_kNsLQ9xXV6#hT^Hl68n(wD2v2mj@h#bZ~Vf zg?)CGGmSna#Vw}(_SO2joP*A5uvcueT`dH1f&Ust6++;!?}iqmkv^AUP{<8a8yQ6N zoB5G}5Z*-(jtIQ4rZSqrJajhMo_4wz@XkNC3SJu8VrA5OSQz^T~yIJk%_+)$| zTa1YCCx}mXD50gzwGe-6RUT%FT>%JtM`|+mS5z8fLIS9#t@S}}>&QV1sBv!V_w{v% zVN}kW&u840IqM*(Q>dT=u|=Z^dX73O7v}oUy$%2eOi-#~o9q&N#kx0xPXQ+&VtgL$ zE&#EViAd)|>+JBQ&J7V>0O2ctEL%U=6KCS$EprlSu--m60EokdflpEpg=b$kmBQQc z-04JLwExPCc@|aRpwl%+SP!ag2?%7nu3h1zxGA1CiSeUjH*z*rV=VIGHP6{I28V#^ zk_HoSH!3V2=*_>iRk})iz&T5H2TM09WKsV!ETXX%%?H(KD!{Ij|5t45O~Zv1@KUpJzxZ7lUew zXGZIFdieqH!KNK`Cw)oSy1|PmkmC5AWVJfGKc*C!!O?(ft_M)}@?Qgs*KViM{V#8;R4|dTF4%WP5@n5LkX9TdG@eP%G9zSTSa&Ro7+yUIprS%6kW3fa)8J zBkuZ4Duha1daOU$wM#>MK|?g#)jDuYLPNb?V?m5cwqf8(yF&5}Ia+T#8{Ov}u`Tlh z4z|0yt@w|^RroCv0C*jnI3=g#OP|p7>XTue z{#Q6%S=g#O=o``Dc@(A#IvTm`%so?iU#qE+f1FM1P*IKK8W%>RMnOKuUoWX5>8x!D z8_YwoI+!b6Q?*|+)b}<%P7IryhsU!33V1kFzPgdb9F*INpFW4I;~T_tV|Tbr9P`hq zmchl;7zGNLYL8=;VI1R%$t}8*kJHA@5H`%VJ z?f>;rbaoVMMZ>p+NSeqo1@yD|3;GoVh)Vu^YA7un#QOk$z(RJ;ObClC7#=PL4ueDw z0bw!}a2qj2Wwa|K&m#lf_=$Lr0(zYoqrN7YbdKO^3wQ!;y$aZVcv!B@QhVPzDXBr>p|bvzNAQyCs<4m~&OgZU zw!hSja?(MA6I(5UI8TcV!vyN?8XaYUIhU>~*tL!99n2I2${qPrPFdY^t)U)8G~)ry z&Vniu`m>#vXZ`sqB+IqA(9TmaedL;NL&nyo4Dl<#A%Wr&g^s@c6|j=UV@{@04k>}b zbe6V}q@;VktNYXlB4nVtBnlQ!wE!2tkb-86BBI+4twEtldH|>NPr*UZjV`+&Z*TzY zHyb;K>v!eXff11lAq!59MW3k9yz}S`ja%P;DgiyOdBp+V=D$2zsjW!rEVQ7l#_|qi z7yVws>9>C$AzsFUOv;DCh1_Hln2lo2Q8gltf6Yb3c!9FpX7aszi+Mya1{JVrWZLH+ z4Ji}}KJoW>>@ea>&lvNdj_yn+JryevuUL_P}+BdxKW5ATB-h9Q2LZ19im}mv-5^MQ+VM` z_>}?Xri!<}d~beDgo!BoH5NATxsOgwgJ-rVl@m~0x!ZU z%RMYGItd;&72e8$y6S-<87B+O1Re>)3MI0wH`KJDS*bT_9^;!XkZifsaC4>OG1I3V z+Z*9s)uwaEVom3PFYl*hHrWa!O2WgtX)GzHP45_dshD%r*M_ikj6#wo-b%eCLr*)N zWfuGBYhTwC7|lzFvWdl@|LB<*>!|u)@9j5ch(%nV6&$VEj3mW!; zAm+YMP$<3;Jc$;RkfJ?1&urTqD^oghMy1ASomtB*Ax1}N8bKd1>i0Us_NCwHWB6w+ zd~Ld?D}M^OF;^COqay8n!4yHNdF;&((w}_&!;i4ual95>#H0&vWOoBP6!unIKwIx0 zL0&opO9h0(d_tX!UacIud=RETQy{O!4dqSstO`-vmc?u*&9Fh znpYOyma-IR;(YAfa9mQE2&Ub^(*yw=%;^Q=8U94rWuG-r6Rm+UD1_zJpZtZeWTlA( zS5&tbTgu%18q3Dypd%dm(@c`X;p|B!lea9$t*mNX9)xFG$6{JgvtF4(%IYM@qb!xg zSomp{Ukc#(!~U5*#M7*K0_+j9%>`s)fHdvsCqn$Z^_U?zuk=fp$xhPjcRQKQUn|Ix~UNAmOYym#j)jqNG z=qISmyuJ?9arljac>hu6iIAU|Wa^4amfXa2rt~2|edTs~mQf<-G}1`MM@7SNIZQAf zMn|djpC`x&M*h+O$5Xq~scz@o1|}@?=hO@}CHj5C2gPmo+#o`&UVa!sbvuz=ZAzB} zV4!x(_2ec9ymRRHGAWS#!J|m4bg5b-7AoFgRPgX^pL7)LnPdCi873=)zssPHzw61g zN;!I+gaAqtk@(IEoz?^k>b z(~|8?GJGablU#^}-g|3Dc*>^|*2Gd&lqhkF*E)ShegrnseWIeIs=u(_&TLN!9E>g! zNNelo#;3Ifi?!lHZ!1&Fu{Wmv*pb#eu{;`5YLaj!8Aujy0 zP2|}!MCGx&<+zAQKK>SP(Czj|hD{9uyUGgNS-8s#set7B_uOvjSh3Y8hG3!g^W7Rr z0`ZV_Sr)?#{D4Q-K%4*jfKJhW(kMyj)RrZ%H`}E!gHW)m^S)}n?58z<5%h?eD|DM@ zzziXYAjKaQGB?A6Qywibi0Ve;wq4Kqk08Su)nwskAuY^Y@W!q88T4ouOnT6dr%kze zO#gdVx2q*<{zhBmnQ!BeL@vxExbuzNZ%v_=b*V@kVc7Vm-wTbJ3MRLgrao$NjMGTAxg-*?EPeC`@;?n`BWa&o zQR7L3(b1ne*{VzYkNpMLee;FF(==z1kw{wdSU5#zoo`*W(MbzLkwYP#5BHm0#;wrv zvy`|iktF+*_+gB5*7wq{V*z&Dq$d#VGkVzpA4i2mi3n!NEHM0U9e(a4YVPX&fVn;; z+iIT)l+s~xI0w|SYI^h>uM{O5N?Akv zYVU}W(V)nU_aYw1pHi_JHD47i%VFSV*eOB|JT@>TCUNo|he2S~u-qy^9&=C!!Vu}@ zYGp5GIg2RUcS>W5D7>?fgk!=#!kMnXkV~@g-=2SsaqvN&2=N=cyCggqO4)6&USr*% z$Ec@Q_f_ysNh0Sz=Ah5n0u*Cg!(x69l~oC??A0r{Fab+UUfL*LQytn4@QYu}~8m7??-(Y>TXTiv}sD8*5bmg<(t zCl@ZfWW1T&R$JSLR17hgbtcmJb3!04IRn|D@x1gIp-2`k*twi=@gjZ-kN3*Dh3GdQfq3*I{Y9)DGm z!+t4w1EOoKmhK^)I>K_@O}q>LebN1jOn19Cj1!UT$|C)m#Ij$HZ$G0`);%rq-PX_k zHt0~0O(pJZ>SJuOEKk-XymPk9kLCqO_^%^ZdrpzbOLEJ~R=!y%@t6$0;aoW?RSqhC z-)IkkDY()p{L?8L*b%F26es`qQPR6xswzo(7vZWo67i0oO%0Fv-%&vuGNf|Y82ykj z<7t6K3*=kavL#JPkCX&z3 zP&=ke?cla*5K4Y8l>0byvsId{a13}!7|p@mq+t@M5)w#OzS2dR`=h$0xIu#?)eRJA zi_yIVPd>DI7v=BeP1+JP6ZF|aiG;9is$TL#6|1qGJ$TaJoHN0ar`>s_|^**H|(&H0o zTzliZT=iMbUYY(UwGv!cgE^Yk#b;PxfcZefM?)())LDssD7n+2C44Ex)dd`~4NyC$ z#}wU+W%kbmC-5%#y@}u>ehViMzZjAl%(SWR4sq_T_B1}O5>;+;6oKo0lPA=G?&q&xGY6x*X$&Z9~0%oxS zEBc#aq;wj_^IwGuaJIaH|AAi`jg>?B9#+;v-#6NID={FI%YWN*^pkh}mw9yH9h};Z zHE5_-c+{;x7HD#}YKohb5>Q;Sk$>JcCxn@TgRUdgeCT)5(&muIf3+oQ7s}AFIvh$w zUk%*}`1b1(-&AptmU>}|;9r|}2>r*+*9I<3@W;%Lq=Vw5w1j8T!mS)z!;bR2Gt6;Df+Qj1D-EhB3sM$;u9%BH6ur>hktT%Hw)(fEE*vX|hUSnqwItLe zQ2gm#+e*sFd#^`>x7sA7@Dc4Wc1_sWisM?tZkBYZIEiIrl3@atYZufo@>d5r5>+s! zTWcZjm61d!^bXH+$XF=Mz+U{6gB8NpLs2J#*@0DUMmBd%FS5Hc9Ff^h!stW@vD0{! z^*tA9<_;;=g)uoP@&fx|#f$lg0h}uHIXG$NzcJo`q{RY*xk&RfXIV|G8#@E#nV2AzdWHiGIOJ>yQ@XUkXu9gQ@ zJ%fikeB_VH{+j&?>(tWqmmS_8Ox8vvUKxca`L7hdML!Zs(l127X0%KHM z-JN?~Mn?AVjAT(RlEBPJ+e4Uh2E2;b7|ws5ng0|B!67!fv(2Uv%N8VeKc(iWs~DO4 z!Je6YA4FNz)nCbx1}7fJc|!|-Km&nCVhp^Osuk{NETmQg$hR*(gh%Aeu@d~>tyj}K z+k&nTJntkI7odxjcA0**xWT&je&pVeYW&kU`FpsnX6BxyXL)KbNe*E9Mo;w0|BKKV zcW&{D(zp~uL;YVEC#<{)wa~{$C7pR#znER+Nt>WYc5#Y1O!1Xt(=#GQBf0FwXNW22 zs3$A*1Q;!zEeYB%gi1vpc8@|ues93me9%CrZo#2E7&2GIu^ zRLMaKFw`POJtIR<>WbIlh|l?00fRuc(A#|v!<@UCiWGb&Iyi!;1fEFA=7%P>UF1{wNT?{~b8Z zVu~Qa2#Vs59^5>y<-XIhI!0-_hLMBKdIE6Y*#;DcpgEJ@=@w*uP z>!zlpcYFyNF6`|4OE?#rXWv0vYVFHO-ZWJ#p5Yr+E3J`bui0eJ)IVqaCzSg?f7aFc zx8EFHQUl+&trITu@$f2dQMI;i-haOZma$lH?srbL@b|~96R#Ki65 zze8#$`*GP#v*N3o5dOtOm7+e?z&&;=@ZCIfPhykPz2A3DkucvC{@RDt;+Ju=bjjW` z%Lq~pY~WVARbbPB8f5soz#^77R-cj~g9^M)#5fz!E(cFTALc~eMZRYDXTwjVb8DT1pI&?Bw zfJQDl_$wjG+ot2{?&J8_iK4b6r(_5iI1S!ta%`)Bj0pXbg>t+@&Razvn?#%W?xkx^ zN9C_Zvd6-031|B5B|$BQiI1GH*3hMU(sHjnvC-!BJ4wBr7We5p=NOi>p%;2A*u1a1 zLt3?z!$#z{``i`s@7+YQ(gt@-oIJyS>=tm$hs9%Vfdx?DN$f(@$e$kyywLlMgV4zB zttdOp$WFNN=)&dbLeoIg&KCKd(M`p#^WGfSz@OIME#fzv%Qz(T>lp7nERajyJhWQ; z{lIl|y?X>xj{~eh1FR5CV@4uL7u6Reiw!Lq%{CV-nWA3a%HEm#j9Ep986Ir|3<~Np z9Zzqv@Hn0E0Vb+In}SzNK{AaxP3PGK`j~}mtv7r|umm1KfNafH0>P^J^0BY(ukZjW zn&#Rz`QOuhhDr#bmG6P4arC`34>xDg1`W@oqY*_+}NSO6pq!!v8rdBP2mzSu%l78a=d*JIO<+@ z4^>pv3`pfK$5qaX5Fz-ILt|X2H;3MEy;yNgOvM#hZfz3L-Omhqv2L;Y#WW?>3-RBG z&Y957WWJkSpKcX~r&mZ4{1w72MV>Z_U{cXIr#Qy6`yBE*Tcot>c=ycGk!1KBYAWjt z7QBc8r9sjaqrR672By$*Qa}Ca^UTUOHBoUSWh5fGj8W|8%8l@N!ulvUKf3j&HOsu~ zE11Iu09#aDi{HoTV=8nh+I zem+9E5kGOle@Qc3SnSb1mX%4{ervQz&N z&pGsi)1oA&>2a|#(7@St24S7VXr0S{7$dAR`BbH=JHx|MVk}0y8a#3?(Yt;X%;1pRUgETXUQe)GRcPb1y zZ9{n-ce|rq9-r{7|6 zU2D1=s&>Ds#{mD{Tc`a(^ie-pNg8f)Wn|&@RaEV1HU24quZqYbf1b;4^X;BO=xG@u zP0dFEobP18st_w-P;6e+#SBLOb0L*N>EHFpOnk!QoSwhvJ; z2wOwR8&>oI%RTQqgijz!H90>{1x<0xhWstdtA>C~nDo7EIeRBu&lu;4W3~wC`K2t2 z3*nYs-11kR<}th8P%mus?a^re=a8=t5hnQA$TdL@^w6oALzEKVMoGMD?SrW>MyI-$ z-0~2lM+D<7!iXgY0#cm83=4JMJa5K}k6@*8V4wy6DF^DcgcV_CMvAu$+z!J2c0<$4 z$8pC>bGD39AD(BeXzXpt2s05DCA}~o{ncte9u2||x)?sB6l?llWDTmF|AWbw0Na8o|0&p|fJ4ih2(k{?FqHtMy839DvPl~h}ZKr}VgwFw_48=>!E zmkxJ@U}n9L6}fU3BO1_;Qy~A zyu@w?S%TGWagZyilb;Lkys6`T7%d(a36b86-`U0Ryv*dcmIMRu8+CUUMQW}MR8;p`laJcAo5K^e_HW$rcFai4uIp+!S#~aEP7%k)bDfjpCVvbw zCS|}xEpU{q-qgs_%y>R7Ip^gk{{Zh>7}3AvCjD5Jr>ihCl zdD2e!tzN*h)2{v8B+=f-_saO(Bo9Bdi!4rM0L2r3|UMT|<&}!!V6wmV#sF-5FX*fxX4`p{qT%6;uFQ>JSr2 zPsrtzL|?xz9B(%297%k-^pQaQS}uwDOD`9rSg{B1HnF^&C-`%M8i@qw$Snudo=QE| z871B+lJ<`g>-k~f#ISy58T^I2NR+>+GGg=#wnV3U$ePa1Y_7H%0{2tt4G+%{b}Vym z>2JF%^ZF@&wwz)L@v&ijq9!TO#IypBXra?KXlF6abQ3*|S!LqrjIwD;31Mwh;OZr= z(x6MCr`1~Z!`so&?5ob%l9hdsHO;_?ef=Ye7yp&2&mGj3JUA(+|Bkgxc)r8$W0H(- z$~5_3n%7oC`7|CF-?VoewC*3Q1gCTE7D##hHE~!!iy-nJWmuo4zbrSXo=ALtmCb+R z%m1v9Hwqe8#L?nph5Ge4W;&Z*?%K*tE2DKwKYvteagFSY89}vIFN1&WYZSdr9*3tr zN!33C(}^E_NZn~%T!^WvWJlP-<#^k!2UTMfvn+ze#)RjKIZDzk6BL}k?O&Nwu5zM= ztD99gkkR#yB#08xT1Au(@rUEqk0G_gk!W1Le}lcA;_sr#gs4I`{HVjX zooqhp+Cbhi_KY1XdQbC(eU0TJjPN~jKMZS|{t}xvyy13fCU|w(T%2E0NKiu?(pQiv z)OUaTSC_4-mi3a55{9oR&IuX(3zi}e^FFc}cv0317lU=r%2avOk`&;-RB4kXZA@ug|+A&kkf&?du0uG$R#}E zPk39uIplJNE!DNmyDBj-W3+SSop7qH&cU-~p*?Fk!yUhxChRU}fwDmO+9 z*c-i^x#0?cr%SpA}P)!_l{6(0d`U?QN53Us7w+Q}=1b@?fh+yCkjc>3AwS6V{ai3ZdH3B^JH%n8KrSw&XbBC#c zGA|L4t0q5A8$LG{qVSSzJ^k((;)D;*#t`w)Oudox8kM9Y45;+Z0@ggEio5(T1s!1y zaLz8@@L`)&1%G^vccdhhbKBXM<>+0?i8pqQ2RFZuxKUg{K`;&gq%RoDdwrJ-j`|)iXkm8`;P2})g|DM#r5rUpz+f6?2=#?C;bLYTsX$@9g9qn^) zvEF(a#yY&2jRJM``Z@coMdqVjYppvS$L$3C3 zUut4GpruS?Lh6;y>$zUeY1a2>vKX&C`I>!PJopty?l2rj6!RGGiXpHw-NZ1Hb!n$~ zXrAEnAvx6#p19dDC_uO1?UEyCXXc{Z!BiUUcmI)rZCsMHsQDrhFSG3T zQz zgQc3MT_?>VoD0W83F^XZQ2d7$^viKjVzKE)c9pJPKrn|R3>(-{SQ-L#Fz4(qXk{V- z8?tcDoLYT!yh-dn7&ZZf!VB2X6sA^{i3PR1UCDP`pOqgIt~~}V$&9fv!EN>*tt-xTC}(f|D7&3jC91)#mn+z1j>A5l5TehlI|uiI-is! zQ|MB$BmdHNrZIgldqZgF%AE5?SA?teUF%p8b5=5e0c-H(0D1Twt+)_?~WJ>7N(C`D8KfHz;vu8mv= zdlDJcjl2QG_A$BgsiE*@1`~fx?;DxG!Co+o<5r8zuo%NLo3L)uMmm@OAsh18cm zz4Bo)-8mU>MwC_Lz)Xv+iE(#L@|;HUR}mgptDM1duy+*WQ==cKsA-WNg3n^=kUO2` zUY9H+%Q^{o4s0hn$swMS0)SR$6K32tJH0mX`^;Ifwp|yYb42C#oc_klPf)}7r_!}? zyFTCd4>7!U-H(nDuv(>4yuV;*M6no8TyrE^B(am(NY z;3Wa`3272Cl$)ND(EbF19+bh7nDH5M2ugaTvUxx+62_n%P7zjWB!{ z$=fBn_On)UM)VRK51$i7*}x}VjW|==NK~VqpppShiV~7s0kAEKsoJBi9TUS1Pb@-OD|NLi zR2ma^+iSWD-z-%`JiD4JG}~(}gY@C2=E}@J1m4+%PNf`AXA&+#O=@7V2^^c)p)_vk+icH48WiLh08RDRoNW>j1gOe0 zR@wh;yu-yb+(?6>irhOrwO>)oYQy;A7?=_Tc%~)%T92p~CC*)8Ua&wLn@~&+dUV7} zh8MdW?d=sc?Ub*afH=hi8w-eQzSbTXKtU9C=k%7+Zo+70uXZ5tS;7>%!yrdlp+Q60 z2BL@nB#_J79@{<36At0wiFn4)$bn^? zTdd6c@&T>&nS2daV2}d8n2i*ySIdE-BsUrahWIE*4Z^`7CGec?xqmJ*YnaceOV?WH zL|GbZw&z?I_)rVN57Yz0#FRM7UQ`XYH8@;X0}`}K1!*#k5KO;2_RYf1NmPM15GQcz zxQiNL=9%5aBZrVGjFktvm-1P7LnK6y0nZhAok{_+3zTL66bs>)`NRx;i z>SE7dakzSVFwtAfbDjuj!;&~uf(XAJY@=!r{BL>qC_gO@ev;xN0a9be5hm>Nmp4R8Js3L@3gU8ww{iU1gA-@y)M}A>b`Md zu*3(F?$wg2kzER6>%+iVW7HDfi=%`lhw^UJ(}aZ|^U;&`6t)3W@BEPdfxLAB=<%(n zY6^(_(8`i~Fwn#3oE*MEdQ7}%-EOB{nu6cLt7jU#jDYx)@gywv8G+c)zh-{)@{yZa z{!hgcF@ekeg&-y`8{N-0g|5kFM_-&Am$K-P$~#nzN&PccOOFXC!CV*F5um)ztLIDB z8$4jj8);4uxtey1r;B*)&oD^K zn-gJ?+vQ9!rewliL1>1+#a76hjyE==?aL!Tc#WA-Bz1m}1KPH+%?>$?IiCrN_vK{` z_0kE{h7uMnaEv`3K9Qh}>^O8Xe>QmUE}3>hmr1uMDvs_6pPCfs1j3$LGZN(n3mS1b zS`3>d^;_=09z6!&Fi`+w=k6W@s-ha_*b2v>KWQIoSXS@A-Nb)X-X{>h&rVKeZjp_A>>J$Zixdb{Yu(fES8mh z40%!BI)=HCQU}xoP!Pax(m0C7kPj%3yP)i?mGVW;+zh_Xs3etI8b79&999#^WdPcnQwm_;|)Umn;B|W&qb0bXW4UmTj~2{OTgk zVoD=`FCWb3LeqUIJL?v(%YmxukSk4u0@xuC{MDGWvram+7|Z9d1>txFb{_>u?nS0R zu)ZpyQiOL8hUZ`JNWNnzS3pAiU@(*>FJFQD)H zIal~5R2mQUn)uN$3d&RS0`LTs6GQB|vD|QvKq;wo4lMhyj@}$1I#>ER_%nVzC;{|k zND@5H-!7!H{&G5!@qwZzZ`%vn#}c)l%AvdH!cZ8!0`S3<$s=Nc7uS-+-*$U__8A+2=#Gv|BgN=vCMDo)bhlfi>Ra3Ea)I^@XF+0gcY?&@a7dyV)E?1G3p&Y zMOzUNK23@7jX4XbLzX5`xkt^@@GD*uy8+au0gmz~^mm#&(>x zv76V#nyX+?N6m!OJ=`yD67!*!h`tvvO{*;^$Bg{5`A^5q0YcM9GviFW-q8e;v43nL z9{XzBfPdc)@#exMI5jVi1~l|EDCaXDf8hea2y%|pD|;cpQ+5wDwJnD#AWOyI*+s+( zWxx8*Vu&1M;?FPIXDjxx`f&Ub++oV4tlo-B)P!bdx4ar<+#MTjnO)tAi-7*3hBfdE zyv#RX{;{wA_HD(Lp~)oO9;qofhbEnQoQ@1rm3iQl59mBD!0?7!k*65q#=<(UJvc;$R45|CAL9!! z1;>B~1UKseef}&H)k4qYVMzdDG1(`Bz-Wef*UI2y|DiZ$mZy?`{5cmMp#p`{#MpEb z9la*czc3UIkB)^okIJv*8}w-8C{Gf$tu0KI2{0EpmU)!7GDQCms+oZb3YT-*wEo%K z6qF!z^xCu4fC^>qCZxaMKmrf;<#RL(R~q~OE)Sj_2EG*gXC;c9?bpwc2E8a2G90L* zoHC(B28}ow=NoKJ?otGFny^42nI7$7Ix=u&Kkc)qDy>;1SqA(tJPm)+CZiv9iO%48 zU&*|wcqR32BazR9xkj2B_LUk|wM}4&O8X7@=B5Xt_iv6AuDV?D-qdsLq(4iZLdoF` zp}#z>iDHeUTtMWCf*oqsRy9 zdQ~$lU<*L;apDvh%hvVyo%x{K-#G&vz|wstht7sLy0$(k0<=SAVb1{e=pS6v4t{-XD(N1{&}FS-v93;N-1!&cSYX`Z?Yq5xyT~$^8Bw(G zcp?PwrX!bSMky-g$w~xxRR~v_mz+E;DK};3e?#@r$nP$SC6NxJVOX-F27iQrv(VIG zf!IL%GWq=prJ9Q=82tmM5QFlZx`xhbrATsx`#S$Sg1zFB}TS*i9jZxXJj( z4*%K2URfA5fTWQn7EBCe6RDb8pLbntq0j?V57`~iv)b~NFAvOl5pg#=9^kRt_tVpC zc6(S@D}^a;TZFx=bNx1&?C__pWscw%wI4`ix(sXEpfzR-EH?`ziV-pav0$8u(WJuG z38AmJ3!%^DE_=w=*uV1ADH8>3J$rgYdy5)OBqshv`p#M#gsUS->a0YC&ok7zvS||c zIC{oneD%eIk9QQ+eqUP&mAsoUckZInx2sP)7^eYJr;;UA_R))7g`$Fk_;A+g?Ermx1Pl0 zUOx$uEE|)3%NA72)9+(>*^C9DA*ndbiKZO}xpAndOpE>W<4;VcD2bb6v_S=Lq;kVzu=4M4I? zFV}b|YuXk`tuL$Pt?q9X>_;fQ>y3iEgO3B2Wf$Y;pF(!dsNPBwBtBZ@8E-y0Qg?Ss zecOW+;Q#>su|<6gFn}Ur$?%VSDb*S&a?>?xkX|rMbgId)Wkd+25V`G^>te;BzOI(1 zDZLOMus(S_v*JtN8f%}?U8F2Z<*x$&2e)Uo)uQ3gpn#D%$QcllCNjbS?Q@#VZ&NTH z-26e*0SKI=GZ7`rfMJ5M7#my#{iIpvl}ms)PxKJLQ5Z>g99&^Qj^3WL$XrPqC_qVW zQ<|UVT%7>bh{*vaB6_O{1H~CV*0sE`3!E02j5M$Ync7agMrn_O7p?@dqeqydS;UmY zvIocJ6||LzcvMPGMVK;v7wiFO(=RC21Mjknj`!c5R6l{b6kwQZv23)QI;9e&`4vz= z(Ps?vWC^|vxEC~}c_F)QInj1%#nfM7C$kzQSKcJ^aqumG>)hl#g7GxgO#fB3tk*$K zTxCte8T3E~TnP=}dAu4%kqdqJMkC+;qN`5ECVNBy9Pan|(C4{PZn3)JbN&YsHbr9f z2^N9JC918KS(y%PRICCie598lI#?D;Gv6A;2^}#>ne3z=A2*Br%Ir@>@AJI_!fBYO zGUstHcDD)A5L-t2If7t9l!Cx}78+*(L@tX}EG3Wt@Mdw#Tt6V`Y%2T4ny4amfYA>7yW86~;hafLx(o9LSNPf#vk%aII9L?C{$~r1V$>)z z-U)fR`NEeCCUI)FIxR-Kz2ET5|9=K|Ym&;d@!#IE zxLs8Z#orym^ao2)ykFF9;-1<9yZ=jUv$8A?tT61x#bKn8n6!p!E#Rf%DQW?BwC(40 ze3CD47G3(u1rT2%*U|YuoH-RipQ(`_8nid|J;$b($f0eWS|0g1nWF3q)rl)~GUN*L zLuMT9su$Pfbp=q|(BR@xl6I>Tr$7}-{3_F=&HxJ2or}krE427`>uO!a5?iUf7|rI8 zTF(L+ToMz%3StXvA-(ZApyK<_K}hmXk4SPP0+yWBT62w+yLVNGesuLQyDu zvz*f+;e7QpyB;c9phiy}u-u+dW|hV};7Dx&04LW|vee#CNcM zugG!eSwJBBqOmleP|rdQ*$ag9CR;4N|6j)jhRR~5Z`j#H;<-CX%$ZYIv6JibUVbeo8*tDa63uyh9D^gQdl5$>QQ?1aww2;E7}pb zjSp8drqyyD{(wrBFxLt|RJ2mqR7quY9{gzXbRTWfXIE&#%vW|IRJ?2>n^F{^Q(oX9 zt26;{t5ost{W|L&_TxwQerXzt(>cQKs;?Mko|f;^isJ($g6t60N19lSKP!b9i@F{Y zL*8O0CdL?cx9{{9Wo^evwsf3j>n$AEw~cANIWBs8oL=aP*7UA)SP}QE3+km zxQ}1%0O*4kG2biLE+8%8l-@YDU7Rdmov54H8Ectxyl;5X?N08Q`2i^2&KIM5=!B%J zD7j^>{?!h<8nADn2vJk!sxfj>7Xu|2(myqtxEOTqQ@_g^UN#g1=Ve-UXFk7Mb-=f@ z7s4)yxuY}sgbu3LCtvdhWo~HqlBG;Y@>6wuU-l4q6q6$?w>-C2H1VPIQASLvH2s5r()6iB~fg^hx0^KFr^sXqq_9_84 zj0N5vEnYAex|2#BJmQcSt&tu_V=V^6fie=MJI`BXc4Jb2ZnjhmKp9HV4ru)%8C##s zxd}{A^kgcFEGD%?e}UW8k92DD>p0^k5T*J&?$0mh^aUiWs;G{mYeqQtl>SmNi@MBHbsc#?eiV+7`QAV zi(vAJ4a(TzvM_JU90~ZJKRdLAiVS$6Ju$+A6LA{3rCrb);S=+0+qGxUwkUg7ko}}qJt)y6Ux!i4TRZe z_8FIn@=nDk2vzf<@6=7XzvhZUN#!lXjkSdCS0KuI`6B+IXFiNSm?+(TsX6xlEiLX6PpH~g#tVkZI!x zkqn|&Ej}cc0~W21HYqjLCTWzaoW)-=>Thwy*b9l z_v;|`_UGxp4Yk};OzoLX*IOeL(72qX@_@Sv{TjV0i<%I6*@~G)P>&_kXVcwRyb%yd zUdV5J_2(t3+^kL8Cu<4G(urbC=-L-hgT`6j!|pFJu)KjN{75a-2%iVC07Wfc=Xm@H zom`jv>H%6k^_41s`Ep~6Z35JXdKl6-c#fK+Fx&H;gT(a?v^6VKMGqlh`gmBCDU8Ph zy}E}jE(^VuNz*~%F~kKg@1h6bP4c{-`qNk%(6lj+6HH>P z0W@eqNc!v*d5gWQxZ5kXJ|TV4IlDhzNaeh(}pLZ z!bfLnG&hBhV+H&eDQ@qjLZ^G@2-H{Zu#nw!l){-e*Oe*2!jZ&VEW8vCKT4X|$%3 zJDnKN4KCl9b}P9S4}&*e7*|AWv5RpNZdmB`ToFFVxi}D<-V$DDTdXgv30RWpRkb0s zn{yKbrbZDOvBk-G)bS=2{O~C&8h!MC)V{5riWoc*RpjTfVw^i>tV9>VP7E9RYF}?X zb~55$v&;I!Pp2%1S(sy>A^rV3Rn>X@u~`W2`7e(dkE~&}g02@R1oxi_&GZ$0Q~{)) z$IEfuClMr0*bKLAYKmp_5}#DdM1$1uqEYg6_dGp_P^=Goux=g?cPi%tt&t73Y<~y? z*~9pW-&mb_J1)F~?@|gEZb_$sizw z_ZC`vN|JUN1Q@qLH=}N$OP7VBDeUMe!a69Qo2YFsu`rG4o*CI5+fGdLAHR;7 zuw1aE=!|NL7d#}}E3k^9%!JVIGs(mXO5n`fOa}+)#vE>5&H~9!wLt>`4%Izl4JZHfWtL;>m1XUzW1Soh!++tT5U_nTfG z{Bsu%-VunDh8S@ys)rk~rHPE+awaI0fv;N|41Id-m+B7rLhlVmnSxXW_3j$fmtxpk z!1eI~_A~zVlc0Ypm`0-Rci}}bjQ)Tc@D(MzM(dczYzerT$-MkXT_=Vy?^2RN48s>p z>&XC_J9HRXP39h>p2o^}s%RV@WG2YQ1ObN4G@9^-v{!&#NB05~ry|@mdX|MJ~8mo-@chp?J=P0gP5vr`qIIo{hMGG`kJu z2(lxU5GlvA17HKjatqUO6ID)S4yrX)rNAgY76$5?SLeb#22kCN^hD1kfc!E% ztI;-*4b2GD7Ugz;79Wh*IF)7ED?M`5TB?#92$X#_}qB(YIJom54{O(Bg* zi90BdkmhsKtNiG5x^mu{XMxYmxL9l#iR%28^%qqpxDytncin^C+(Lk+*KU z;YolgdNX~1aDaM1erE}r2Se*^@C8!2**>E4haY$wR;fe=b@e6zTd}|mY5Wa6Akd=} z$SrGoi!J~!&!v+_bq4lN2(_%(<8#izn?MTj%fe}s>_9gM5PwL!Y!4-qam^CpXlWu$80ROK9{5^{aFKUgj_{Pk#-vl8nUe7(I?&6FwIb zj*x^2cvKS_uC&iJB%&OS)TslX{Wx5HYu94Ex=Sw8Ab&lzSo`^HYgfMvUpH%8pB3K--zPfYWW7n}bKqnlxLi`w6t8HO(5{u!8*VSvOcLAIKU4$$7A(#(rb z2}Ug-nY?ZN@9`zkSnUkshOix$Pnh6}urm`da(RVv!1v_+B*e)P*O^z1a;c$VrVpAPFg!L*k+u zW{J0qKw_|7TyGwW2ejVT_k8%~Da@LAdvz5DPU4TSJ1hrzeXS;~GqA>4$bBO12t+-E zNsagWQTUSZ))<1Kq!#DpWTMm77*FHR1$&t z#U&@19M0C2ZpH!&TK~C=!f|OCMl7>R^=*qqp;R}7VX*o3!t$-5P!ohk{pM`m9vDdGf;S%ZC_rrFKl^#+3Fj( z;u8gx2&UPx*B!Jpu4SnD78f=+*wl)JA^8WrWR>ue>RcRDc^>|*3(_2xMg`q0|10<8 zLj{`&cYxwT+bpQ~Bn%ZK2FPtaMgpTq4cEJ#9_bXX;YtXA_?zi7&)m(MZAuu*A|73T z(XIu7i<)C=2!toqYcG0F@$35Dvu$ThCKDZwL!i5=!}fRp`o(u{*P3Q--fS#voy*{!lzzikM?@KRRPOA?AsiZc&H>CSGAu)R9$|$ z(YX(PIIvC7U1PYEGzB%LM-LBb=$#;nyM||JL_Na8;Iv(BkuspbT3*P7-KDFshDQ%W zxlU73toO6h4(M&X*B4kw3+7yP6SDMGu#BII3`}N1^ z%e)!GAyw?mR;(726DUy2OirVOzU0|$sCB8s$$rs?>)FTvd70U^_8=jV?R(_cB4CV# zluU-yZKvdmqTvUNe-6b1iPbaSDXb><1_;aXyi8PUhjN3l>58`~4rj;^9K9g07IsN% zg69u!o%|J`cYYf}Nou^IP(}jO*|z~7`WcbokHVaV=E)T{JrpI21exdq&A*ktVhk^7 zvZAzdbZL1%B`$oP?IsCtJVSBL0=vozbZ-1Lq@irRTHt`o18~Z3^>d@)Q*ta%1I6tx zuv>0ng({l&6w7(_qf^F0x1f{c65_#g6>kYQ;A^+oE^mKv=DZ*|DZ2gp6%aw=pRg;> z?7J}UF60BKbm%-s#+*n_hps*~xzc9kAZ=*76WR^fr<%NEW9JDoW)P$){O} z7GiRT?v;_u!~)8YaPdu}6Ac(p=tbRZ95oM|=75+f^$>;Kjz3Xa!JjVzC*Ubp{Av%$-ok<>tN+X^fu&!_W%_X2}TCD6`S0Q)F=hoZgj zFBHfW%s_d0uvG}ROu?PEHdfFwU+Zs)+KD40S^O;s!rMAk9IQBHW~3u-U2C}Sw)}xD z-ZEOO3CR0D536_z8{Xap&uz%GS1=gSsi}a*#ZZ2t+xCvj@*z{1qWCPx*wZ{k$QOf* zbK452cW6S3Fu z#5Wj85c&Z1q~?mG@ty=RNY5cw#tTqVjwA=#5Bkwg_vOq5@`hIwLw|Sbpm4i&-K0Z} z8$I*_&lw89XFd5;@dif8J{q%x7}EF#*uhMnR-ht+r@T`TVcsKU_3@XZ?nqTb&GQav zASt>QAJaMa4Nf&`7ayBrx(hCK5uIu)?Z^|(mycuU<462}03XpV z43L20gHmalnttN)Murd52}pFqQW+U{csiXT9rMtoksb`eY|5{+oLx{LI)@OJ-*{xs z+#BtMHQ7q5(+Zc642u3MiTpN5We#y$SvCTv9d@cO7V1U#qAhBLBqgmcNbqstc)r*L z@-Hg+xWXxSgO)Z>B@Gtzz!4US-9;uv5{(`{nO9i!%O^*!IoR#pts#C1v$Y^u2bhaTq)`YQX&t#TGv)=~yh=3TD zi*|-?5r{*Sec=xWL_wD>iN-{@Vhi1n)Ob-@FtVnN>40$49ydg87SkL!6B>nu!>ETXl>#yNIo=89B8u4X5ATEznFX!dTH{XH+T z;u*gOT9OIjVefK!eqk}Y8LT_VbaM&`wsqd$4&3jCwL22;|Dw1-ErT)y7ZmH_Z;3#G zrZNFKpaxEFl1J-gK@c0HQm(v?z<1pG4j=Ss)%lFe3wHCiB<+t1Y|q%D)WH zQFce?Kq%GRZjuGF=SpaTCCttR`j#0bKMdNIHCz?$enz8hmt;75Ut3};r}Ctp??CAh zBZypB9c-@IziSN%o$lNZio7EW5;D6aM}9SpuG!*%RN%{(+lYmz(^)3gR*l? z&~sNO(lQcRH#f-?mjv3T<+5{VM_>S}kpn7kyZOG1dREO&WA0iR5{e4LKq>}!>-Op5 z?_eE?dgy4KgzN5_Cuy8AoF}w*J9){xR#gR2sCU_m{7f#R!HKuUdip|>s20|w{RViU ziC={%lyv*J9pJq{F4qkZbN<|~4{CxHx=C4P_v4%AE>m*%otgkxlf>+WRW1bC7Ed0) z2e~;9{O`we&xbKyzrBRb5vEo2=1hO5*FXu{ije}=)nEpRwALeYSPjE=R5knGRGQ3} z$hBqZ{&Wk-NX8K6cE)0O#nYp*EN0GjfsX9ZqSoObji^6jdiV_jb`_*h2aUeEpt@7` zgBS2P@7GSnW$1uCMGpYE;@~J>tt34#pfQLi5W7mR`Kl^_bxFTR1heIUTyW|Y58{nCQXL-ak=fdGb*EsO$X8Tn z05wwOtI)SgG{r3-c2Wv&m>(zBnLd`!YoZwW4=`iCQ+eimtG)A3w4noCC9YbfYd^!A zAi?{`xpWY;wd{Yq9q)|5VbTJ0_a1>n$V-2C`){A}n6q8QMIeg_NAA9lAUd-R^Cm`x zCzjeNtPJs2G#JKrU%E2{^0TAdCyHt*%CW(-m?F5)EV)Gksbw;4bw)76cte@FK~4#M z`U8mJ_EUcywY)Sgy;7biS!Mb)Jv+6M^sL!UNJ)eUdH~QGNxX{q$$5zpX@re=vz*Zx z2QU)z%Y$k8DyaoeeaW1Im6QwN|JmjNLQS7jhIPrTvh1f6Y}Vc7ZHFU4w_R{$TukEW z4&h|k%RuFU7Kn|gHU%9P;l26bC)^+W_HG2oOrZH~Nq0i=u?hlh|CD}`W9$jE!Q!e@ zJcbd(!rn%q-}~27YPLK+4ms@gg}`@zF~A6`u9bz8_HriV+&r8;@!3%^3+fLs=a5c< zGFamM2!3D#LO*Y^M%fJ93}~T#%4h;+3~G#oRe+$o^u|28IuIMEzG3Hkm5d7!KUZi$ z_QwYMEJHoj_;wc%^!%g&_u$PPs;|sz_^km?u?F8WAv3|IbgJe*QMJ?~*jW)7juA^mp|-iCpU55K&62WEn%eA<2AJhkwJPYt{pDy zk!~k+GuCXzNN~lV+bT!b^KkY+93(#0?_=BZDKZVY?gi-=@K1}bYj8qbf3oGAcvdG% zNh-Ueh5)zDGRz51uNHsPgccIm%=n>CI_qse~VRn?4^k);Tv?J7RDt|rw{ zG)x&DK}!)G?yooNw2=@y3|w-Ff$t`!h+LLQrYY^3;uLyR=5A5@FW|JlD205B!aIW`wduPyL~<3;my?Fbf>FQU#tX9_RSlYn zvA@93biGC##KLyq0s<$W1A_P2mae`?Bw!pYw-&BQ)Z6x)z-&GFfRcDqL+A8`R!_d6mj&~r6u?lufy@2UDfN>&wuMckn~ zA8r6+~AOojcbV6kzESzLr~bmi+lVZ7PE|Ty1e1(aRTM1y#DsvY~DP_7|#IV z(5)DIRwL8}ryl4mfKf_!0w!1y|7?W(B7NDFq39IQ5vCj@;(xCWz$F`Ph#rf4D>p6V z+yy-hBQ%Q+M$#Ad=d0f-0j;M7a~o;VLwm3DFO<+{N9irmk1 z%x){5zUa|^l$O2jcv3)Wrz#m@c&Qa+@P^TW0JF_uQczdj-+wd@G3!qL6I*gqJ>0Z0 z6VeBXUY56N#jDsD*MZ&x5#z@CzHBG5&L@v-hB$XM&rAv4i=-&*dnKSj6CGYy_KN|q zA1M_w+=M>k9nOOy+T8`Y{{rDVMO%!m6C44~0L*Jk5ci_R6f5+V!&yrI~*n4wv1wY}MwuIm!d6|Je-58o5i?)sLG z_B?1NbaQYV&eBn)AoFqlF7y{AD}&bbyH_AFZ=k_W*YQ--r2mNhI`)eJaPc4XaHuLtL;5Gx<*@kX>#&Q_;IdxgRb^9bFHIJA`J zr&%yCq^jt58UgwQmeTYq^v%~5ZF58C)d*ynULx?x^Jf(>u?_N&1e!WPKIwA|N6jL# zG2qMkwkox5gl5~Z>!=6gG_DFTD6S$V*Trc5Ih~xDjPNTcJDlz~iTARhT4oVR3 zjQp0scuh}lPbt5$jh{YkAwKz9#vj&7c0>^uO*E`({;s>iO+7c&Ez_hjk+KX~tcX3J z7=pqP{~#_a8KOxFH?t?ucvF2m_q9EiNPqw-g62J!jH3~ys@Mwqf!e|HxTpRY@8+?8 zB~oMX_h08*MGJEFj8O8vof8cM%cYHZQkfPKsl(^(zdxRXmlxNkxz*+CfG|B=Y~2c( zs_EO~?5m?Y^;3P(ElytYL)?egmo@Q2LBZ@4k!P$b z|8V(RSsYND(;g^n;d*KgZY1_1rCf0*2-ZW-9=RFVAcX28dY4_}(_RLs;2$z3qP1X3 z?_!D6;#;}3Rb+LP5naISr8{VQ%03Mh_b`!A$1S2M!9qLgF0-dw5-u#nZrxfDtxNMP zJ~U14>%^)wSsBYH|JNrf zk_f9~^=aBMJD%)=ac846kYLH1a^!zk7TSgS9G1G|IB|4{q_*!nNyyg^4iGM*P|W#M z_c7dKPw7o%t1Z`_`+p(`Mt-9GrCzK4tU4Nm$55a(VnM^+34-(*S#^3Qp={O2EvosF zusw%pSZ5{I&sy{eaBeUxVn!{})H4Z@UV}Mj_QCC&y?pM|E(|bVOHFv*GCtCV9XjDT z6|s!BAX!-LS~5JsdXzSr+vqQe!4VRhoV-?nRZctqSo62A2)?pa(p!UFo)^W3vK}j0 z3G65Z0=jlH-xQW5m7wfgRq+6@g0}0*0DNw`Xe%xyUDFw_Yq@>rvaM9OTN&B_VnE5Tj7A^RBAZ345UKRM~L;HH0Foth-l@SM<}>E)JrM`@*^W%Mnj62G*?(IO*&jQ@{XNyL94Q z*6BQch4&h1y#@;ocH5%NVKjXMH)9%;@A}@l2e`!V2tYLqsA0ok#Fft)0W3Zp*ADz*$=wL9lx| z4~)wdDUF?Bw;cq3$AieYDB{iIe&g#dYfRskY;=8_kngLHhqUM?XDJDD0yvc|Go)R- z>dvKI7GF1~t}ChDY3I9Vb08M`AEPNG6wAlwL@!39l*`evC?7s7vGN|GBEf*Uf0uhZ znu;M+7?|L|@?{&$!UhH=l&}E{Mjy3)H#^e{NGdm#);YDUto{WbNjL0vtKexUVXo;OU-?cb>i*68a<1Ros zq#^Z8zUv_7IQEwF{eC@T6H*mL*_hvXJH0E;76qot_m<&YqS`YH1MG+XOWUXfwbkRF z{!S}7Jc}wIl1K=f#Jk;z2xuBIlMvYcO9?thc>ioDrIFcKiG(G$bzqWdoD!j$s?678 z`Yhez>CVJLm`hTvk&l(CBg!YJmX2DYYf1VM4ErSw$hRD{4|j9rLdvN5H`bG#i%K{_xGH!$yZB(zaZ|&5pq;r5!IB^#&IW*%jI z&vClFlM)oj#WBW?Syx4ZKmi_1i|cs!t37CQs}cz0l3e_PkU9lrHHVY&plIm~@z_y4 zWs1p1?Ob3YZKZ>~VOs*wEs`tIEZ{JB_=}O2sF@kwkbl{)#a!Y&&sdP$H*dBS@@fm$ zH*OaXHZxU2wCA_tM}>)l8gG1yo{$&GJGx!BvUm$!SN}Kc@DQeZb#cjRu{&$*-n2=| z93B78EVTff?Vv9@n-8*?b_db56*j(#c4{!NGV#Ig;<1a40=R0>Av^ ztF;gfY2XbTf_C7&g_(3dR?mvrwz>kdjoox1XPHOZko#jdqngiLpOVNmtUBPofz%WD zsf!A*Fg4J|c>*sUu^2oF{TXGCuxQxlBB?pv*-Vcs>3kc9&sk*9T&0 zrxjQDoU9<14wa)VqFW7I;;fN5^|b$MSmE0z_mz~g;0WE zPo!~rpmI`O7g_YN?^)XM6QdnU>apZD2aMnmG6hq{k`T27M(p!% zyY^9uVgz-nP&9$R3^1@I;*Yj+oL4a^eR@gAiE&Qp&S9UCU_&v7w?H5+LNrzKIUj*_ zaIH@x0}TPTnIHh!OJ>8dNZMgXRzUKJ$1uZT(2a0svWi{DD zn?4!Vo{uyZUSIbt{pK5-S|{iv>J3G8jTVY$e{=qn+f|RY5`}co+oE%RMaC1*1|Y#2 z?z#PClASKTvyn~T6<09-MP>u5*Ezy`n(P9V(fGS!6wlTZ>irXQoqMR4oOdB|R|BMh z!+rBS=>s)Mz*PZrBVX%LrG~XsN!T{jQEwf`M-XdT(@|07{z-r~E(<>>w&{m zKUS}6V1*B_N%Ft+HWRfbl;dbH%reaD(2V16Q}F6indO~%9!v>^)6=OPswD3-P}L#( zwud~WIIb5J7rDB2Q+g+XBKQTzUsZpkQ~NaaW%q`aK4(GA1yH^zXf{+L#}dD*pnCyh zT~Bj{uuvN1?}V|G!t0cKp>kQakhx3Ii3&R4k5D_jCixj*#Wyv?Q?giBEv^Jlv zxpHJ=@;ZMyyr3D}tU{<0BzHy6sjjaJXBMVVxml6upXNqBKKs{2kk}p=Um@z6+kKH! zJzJ{*JV>+3+mS#H#MQ8RzR$0kYBvIICgZrN5D$f*$#Qo~A?0FLM??r9HXdo)Mowt; zAXFc$SD>77Wlcm24Njw!*PnuwM2lV&ENm7-il|)wxxWgF<=|`ITEAs|V_&V{4Eb-k zm`npuh<=;{p#M2V(a;{{iaIp+50dc0aULd*VmBK2#vdh2`O$5s%ur`)&8{D|PN2jG zWVpb{_KpbC9ntGY3i)mI`Y_L`cotz#?II!6>Dd&)i9nB=9py#W@)1DP{)0{`<2QY* zm74};l=vY}{_(W!p&e`tI0=q+1VYufU|sjD2xIN$!A5D9ZeIs)G!#5dhS;)tZr>5w zGc~?s1G*mG?qY?*_>D(8aakjYOxe=3*w;kddm{lq2uGUP5n)SRYn~EnJ$=%K!G#BU zL5ZL;1L^B<0{WezKh5@pOr5 z(}n#hE8a53wCfV9<~gp0xh$knt<$2BDFAC)wosAy*~ZOIwUQ4rM;Hg=!**6=!!M4$ z(L`kvNB8zmZ!bVB!8COfy~7J|-a!&x9o;_TRKC0i8bE|=c3 zcIJ_R77EQ{osGDeN}KwR1Dl*c`Zql^3Y|qJj~Y3VOInmz*7i#2QkAqhn`t>ZlYq_- zlbR%IuTY^bn*emnMNlM`UvRNpLYuQKoYT=-Fs+^iKY?h@T?rA*>cvfqjf1UGBS)zf z7`xpU_W9_PBS7;I&|RNhr7V;EQLxBNY+xGn93(if-r`kZV{_}FRF%?Q$7T`=Z|AzR zNF@e5%+HpMMR_enRz;>&;@~=7A3Dz6lP^iI5RqyQt^GvDZn1}{Rcn7YmDN-BaT7;a&Fee2()z_r2!Sm`V6 zgD-Q>%Ko_2mv(YbGuni+#Kt@2_XuCB++*;!iggcglf}0!CWWjtRJnJsc#7r`BQ+MF zw*RSG5ni%p1o9nfqwRs3-&6HCnv=>%XQfYsBULs&xsR67Ui1y7tRW0nYZl1Lu7@pe zZseWE4cvKKL7!jKwDNOFSo|$UEdJ-*`fj%2c|On z&g%*(Ecv+KpN?kT6bOHx$Hmkj zQG9RCno}awu2D~_Ksn5_IRbPn!pZgH{4iFZyk#uQ-*{KkY9KH1^=V~DMY3Mtn@67X zdQ$(DTNB$~!s$2i`zH>@?3@9eW#YckPtk{A{nl1=H0ASBiA%Eu$}%tyxk$Tn z$p!hHT%ufy8EPHA!L6I~I-^0~({rgEqZG3gasbJ9cwip56nTqEfUO>Aa9WM2)ju1a z(b5VefTe57`FYvWjT9fU)a4v6Yd;d?mn9DxFXgER~%@ zsg(--rR(16QD37lyNK_hj3)ZM$Z&ZQHhOH%+$fsi`;H z_BY>uIBV^*abK5EgpLtHgPh-VR)x9tWmOzr1=g1AL+aX5FJg-Uva%28u1#_1hC;=M z=wD+bsHmTo428?enHd5-VHRKS=gF9_tRqFFmE#>WP{KbDJEOG)%fB+H9#o_-gg`&C zW+k>Z19}%Iz}{R9l}HdZSBCLaLOl2t?nuU8wUUGVEBt%g4qPzM`Jlz^*R`q{ADl9c z#p-Hsq!#m|Qbkqv5XA>fh{`uW8VidxJfbETnf#D$v>}SFbi!Dl1!XCgU_=?RZs4`i zeA{KMzcBmUzx1B94o2$!^B!!y)=1C@$PEl_>B<+zt5<|9+;*``ufM}!qBx!Vw>8_V zmwko7oBy5jLF&(ozfH#;cJuM8?_CE=D7ZjEowij?NuH`t-IRjP-s5gBJ4m z2`^(Be^SM;T06>Sdov7U3#MHqQ6uS!s<5%x=d>&vJ(s|1)AiC9N6b2M@~Es`%fupx zZ%ZHti->n?m5lh2Hih{i^1X#`&EvEUddT;)sG3%RHPoMx4o8f9*m5)*lf$zUS1Y*R zf1-V&yfy0X3!5eqL(=7jKweLU?+`ePzu{&4nHs!Fb&^mBQ8HG^a~Z<2flkDRh0Q~} z;PVm?IOeSHf|hk7&p}Xp6Py$n=Ze@;FvFQ-sC&G<>r(SdKrV0@ z5pwm^8-(v0-sUJgJM_W~JgV5j{xeU=Cz%rFdKPR^?BV)j4KhX4mMafZ>MWwG}qHKJTQnc z8P!rVk|Q_O3taC^&}@>n<(9`B1KuM)QfGcEJp08=JV|(-cdf({ch^Qh`kXpfgdD@F z0dG$PmiUL(Xk8XM4+wk#%uG@#DgE@mos}egNa+0fO}q{Qw0 zTY8C^nat%b5FGGbxvFeRvLm>U0n_C2Qxb4eOyIE{Em!p%hX*!7%#$2e%%n$+QU}%~Jb6jwCsO6X?{pV<0uS3ZN+h<0c^b2TOy+#QPFLJ zp;eJ+CG9Pf#k+|J_~V~Ns{Bbek0DV;tsdAcelvi6m|U6+_3&z3(zOKWA4+Tfm^bXU_d4z3n0jAb)QiY{&p4(I# z8rmxDfyzhvOi)5rr&r`WiS7Y0bNYNM1`hc}0;ry1M-tqI@Znh~QRgUPA!@4T3jxi= z>wgAuu@#}RQK$$)RaPIy3F7?j@{PlZh-c^V1nyS_FqrHcbvLjQkmv4NGej5bZtr>U znFbkFnIp1^o%7s`NEG9{ZiaaS>{IDK5@MbF+j;DZ`Xhwy>7%H>)MFvH#!+#^er8A= zva&s`Ra93EBng9xIw-QSP{UAFkP|APypjETVKj@fPoj=6EcI_J1rOq9FY+iI&wNNK zQP6$y6u`(Q#j{%c)<4X~GU6RChrkC2V?ip!@3Yg_3{1GMCjyM|9NK;P5uucV#q>vE zZ{+jaH1aOk-Qjd*Ym3?@7c_3&r)bt1xj2ug;N6v#i1Zd%9G@n!Tt#~_q2$_Mc(lZs zH)$)ce&)ACpAM-qB~`v7Bs{xM(izL+M2|KXc}PCwj&QhW!~r-K(s%A%?={U9Xkxya z^H_IDa|g$57kDk~(ISmF7167#&K4Q!84Ym^Y1O~sr>-bTEe94$C2&IdzAe4Telk!M z>xm~+{{Atlds=8E`7e_i2jiSflZQ(1jOIFD=_tKbh_OkYdd%Q3`n=;-;HywqIl1QT zAc@t#pAANn(2l@?DKxcK7~QWu>=D2C>py^zlFK|Y%?iD>frI-mJAG*F?N8~K(mL?C z1eZRex?DNXq5Ug9M9mPs)APC+gW=cddph{(F-=q8kF^kqK<@hhq&p9v@i&FB8~rkw z{~j5HxI{>9^xMHFCdh!VQDn$_A{D;KZ%ksG^?q!r2}~mk*zssX?06xi^GGoifnvpl z_B<1K0%m$7N1rkPuhLS`BTai-2-(cr-tfLKf_{HuX(7}!@QTWg1Br%GjT^g&C7$}N z*wk}3qw^H`YaF2;*FG34{22G;*-so>Bv5zWvy(rO%idKtluM3vc<8VfN#!F6A&w4x zT42IIwDEqba1av((};*xJ5NS90P;66`E!JKE*rTE{9WZ(a9mhL#h3xQslvcE^e4E3 zlywVVXiOxAjVZ>i-0e2KEkP`S?MVue-BTLAjR2!u88)@kXvZ6%;|OM~tA+}HSd~$rwX(9v|N%Ix8P0Uf29 z0SUYR^g;b-cWyH2cn#+c{l+Y;LF`CgWAXht3h}woTY?IuqQn#_+<3q0JY-f7 z$^S=4gxGg(u&6bBw3Mg1qTyzk+2XzeU#Bd4;8D)9WzIrDpQrOvKMH|bt&;htBH zAT=4UEcR0fk`=_5Kj6=ddKG*M*|Lzse!-a800}-+m&P2isXmr)|2D#6VKe41vVTW6 z|389lT8>ldO8Z%0%v+vVC*%iHy(2x|rK@6j^ol~Y8`FXHxTgs3Fd$y`GSBP#9_?L} z)&s8asTG~pd-AJ-deCu9G={(I%ib&AIDEjc$9$Rb-3Dbve+P-PY1HGt|4=3qeH#KX z-U6XC)*-7n0zp~^LN zFZHMO@nJ+3lG7q4M(N4=b1#Zx9Z~+#oDKaTOSR@d&_6wxti%WlPbwx(7ExhSuNh(N z0;&wteUHmT7+wTRl3Li_Nm_r{4W+Q*re}h&m>ZTTN(JTlNk# zBoz{;#C+j}_*3wv?xk@&88q2nrf^S&gm(YfVm6J+I!s#k9>t`HaYF}#!2Of#{a>^P z%84?b;)ZC(9)a*M0fkz?U+GSXg5LcYVzQ(5T&4J%+HFPltc_4*W{KN4 zKU%x2rmelR3<=}zrXS_In>=zXHX~xtzYF?jZCSFI<77z%&^cqeKt|9WW;qcLpzME`&yUdrUNDvqZHsDG8XW2RBd+V0}b(NE%oHeq`M%#*gYY>z6*$%m&HLuHyx z;1s_v<_T|y&wYE)$cB`}p+0OA64a)N7rpURbV9c0+&!%E@(%)OkWkb>GNJZ~Qw>;? zxl%PaL}6j=rjqG@2!5T}mucyUW>oM1xRhVoR{N3xJnVD95}@Hp6tUlxF`wAHW&{*3 z&TOkpDsBZdkyD-TB$1`;(iiMzB;0;73o&CK_0O5_Jmd%{u6A$aD+(rYgQ|{g9T~#? z?K>!XrdvB5BDivymTq%cYsT+3%zYa_Xm^quJA}{%QeBs-UPFI#sCuE8@}b(J2y8C@ zhl8&wmJvO~oJecMf7IytsTpMi`8zQ+b9f3B`0?Q$hZ>PK21T(z9Q|QC@H33MSexrX z@9vH)^VvoN3$y7aQLU)jNoE|q_W+l@5?7Jfv>FqYd7G{NlpU4)+0Jy zU2|?O0we~n+nU>VX6tZ}a^19wE*(u6-t+H-X~~g14V*WVjSZ^QsDo>~Oh)!fv@=H; zS;@HP5H!_exQk?j8|A=H)3XWIeP;bMVf!46QBj{nOdq}4^McRbzV!IHbx^z&u5ENU zLK?}ediC`Aa7g(+EYQ?@9V0UEmaOfK;yoAQzj#{kG7jUs)ZV(`MW_Ta8Au%pt$&qj zTMg27YR(DFq}v}C%j8Paum08;PTZVurecD?y!lM2Q(AiFm3;BU@X)BxJxR?PNL3|Al8mQua-}Lo}5yN-yHEI4_TBLaQo6;RxN_*e6)BNUXK4L`VMp z;`SRZV!gp})->-M$~{|T>H@=g1166Giiy&`UL9Fpj}mQi$xR{m$V& zyq1fI$Q0DcK+5ZlFy=5j^$hO=^P@+nN;@XH5QiLj=mE`vhQ;Vi%cNO1o?iJc*$(+u zsO%3BGuNftU#y$Do}~@DGQsMxUc+Ce3PVK);a$i!^4rzK43LEgIY)G)l0qM-warf2 zX2{t+ioZXc+7pH52XOPjN_Qy&J-#ZHnVZV2PrjCMTK|IWuEb-CdF=gQ7?r|7MG}9B zOK7x9<-I}jj{w7{mNi&DZg-wZWr`4GjdFR#4EU#sPKXSL7n3C6;LgL-E|$A~j?js$wlxb88|D<4HZC2D*U-rulib z=jR;V*l3`n*zeASx^l^2)a>WB+P_kDj>wRY$)oCooa{nM1rNyex9`%lcIO+?94B=mD0 zj-v%(rROGyDb8C2`T;M^a8+`$kkWM!6`6Xr=jnEdsIqz!J~DY|CP$P!XlAVpJ}%Y9 zR4x48f66O5g*=Q0(_S>M3#Z@YvJ1h;XiWIRD{zVPYxV$~W=8 zOb@{aqZYL9d?jxi?y~3~)10O7#YhQ!i`I6zxU+ibUgcta>bl1+8M{~0$kW}5QIMQE z$DQ=Fh0&|aLFacpf2NHjlpbDuqAS%N=bl$*5~Z^%vmfEYg}t?IVY@QD;vQGG^=+o7 zM>&E<5;f_%Gik!;;yHFuk_47X5?cCV&Hk+0=}=TIB-hX!!ou60MD#3?eC@Wj2l`R( zH3}iMtd2RehjaLGngnMUjAo3?5paSH=A5A)_Bpn_^)c$)Buh$u)*`W99IHRZ|GXG$ zr&2&E*dJ3(UN(@z8*R96FRt~Y-jS9!Ycgb+i#vB$B%JDyl@dMswaHbfy6EI<%F3bJ zgEclPJ|ji*j%uqLgdm$pr>p@RRNgY7QZY~=OhTsUlX|n6Y?&9s;i?a}M*G6kYq-1K z0luP}8QuG!wqKb}WS})7G?k|q*3%>;OK-`rq24Ol_ohQs@;QFT)T-iOXKOOB>60!N z)~K~zO4}pXek8UkMV?dT2SWt24fcY5R0C!-Y+2v&_L6}(OhP*Aj$b1P?1@;hysaLTaTWeG2#0 zJG-3QP@|0nk9Pt9D1O7Mu#46np31Cs_)R$(%ckY83`j*e9YWJJ~@7V-jz+N?h&%4@}76g9q=jx+m)e0O;cSOhQ- zsC2CB!{s7%ix=mD@UaVih#|!l7MfwqPCDr+J2US8!iU7!)ogh5FO4qb&PHepW+nHY z9<{-P&uZK-RMkwJXGG6%Ok6REa;$yS2_D!}71J&>Jx<@iuF#RM)Mj;XC4kj)vRlDL zVeaREd+Qf^Utg?UrxvbV*&ypeki6`VD<}XG#)4VD;K8#?iY-(m9Ab7rim0q;sSg;N zOCI%bQH2Dr8&xyf75+0VZLxIWc&zngANjEu)eeRf(b%Li-b^47L=%9zj7zeqd4Au4Iuzqg-l6? z-+wp$dc_a_Jxhd~BN-RKvAKPbu6q<(D2`#*lr^J{7PQnxTw7Pd z`-D_GM?2Qg0g(>qr>#^7*|+(Ux0DS83gd%x@2eeX0~@lsk8CM0LconT@0;f}41f4i zzqfmzq~fg$Saixno$UJ4TZ;gbjsTDr+E_*5m?>h^K5T$`vFzk=&!>f#B$daR*eBUR zoH7FB*Q<_lVqh}UVP^`%;2$z;0j9+p^uQzRst4zXD4>%Em34!GvW z@5fS?miAmLBdJXm&OqBRKpQTBkzkDMQG>@LE;SRU*yi!SyA=?~0~6ZxUR3Kj0I-b# zSg&py;%wMge-S4^&opE21;ievs<}8Pjh(B)<^vcFy_1AhS@4Zx~m7VcTrPm<$(j}iQ0_}?i)!* z3g4d!nZyr30Ej zH2Ik4A7USgtkJrAOBxh}f`PzvEwmS3A^*M30%v%|FY*(kymY6vsuMi%N}pPpJDxZ| zluuGJG7I{deUJ`e%$Z}u!(iJG)6;ezA2#=1vcIebFmfMrN#v9ui4{!6YU?e;wfjQk za&&|(-iodZarW&<1t3@U#bMhdW1AGxO*q~nL<3f$K>zHpH}_gENjM z9Kb|G)|>x?m|z;v86BN=G(B!fXfpeISDLcvkI8Pqg_|`ajq<)K-!JNN?djm zN26Q%qZvx0*>$LMqhAM*2z#M1xI*mv#2#|oV$x@+675TeY_h9!XtsXHTWysCv;`zc zMGzs9rc7mSnQ@1UZ{+615MvX12!3ov*6;K&fYf7Pk^Chch#0*@^eXmW;TZdnuR*r5 z0HVdOPbaN_9#GdQc&ETvHR*4 zWs!h7>1XUTYa!1xoEM1MlTBPX+GP;%FkHYv^GLow6=0>a85AmuGKp^|?;&qFt7*HS-WGF3&i7fkD@yoD_Y^5DIFr-sBhK0kAoUV3B!lN=i0VPgCM-RE`UdG#US zn8b444019%r-%EW9UqkWW$ruvD-nGqdo3hO1;md~fJQ$txs$G2R2ca;C0hqWY?GLi+o@r zEi8y9Aq&T}lY`RH#-Sucj%+li2 z*8uxZsiov<5o?S#fV1a%9eqii(BM3up!koh(GHo=h-^U1&8T3m+t>5lp4Mxj9sY5q zKA4j7$?@Lbjq%qlYXJ!`D1j)|^7#-o!bZpz0`9w=JoWX4OMsrxb}7GJDm_RBg!rE% zKAtSjO;t2g?U_~p+&HX^d-WoHQ=1*qXX`ESzy)-}piXRWear!iR)g7Ph}I&)gTTZr z_M)`E}C6elujK`v^!mI$>(TltEv1OYgJ>|@YA!|AN% zjWS)!@|BB^i7OzX)N|-pyQ!j=+oAxB1%1%7A4m?rs8cc`Ki$eHK@G}v> z1q7ylz-AWwrEdW}rrG9QM8F^UY2S_UmQ~@(k_?Yf@>moK%@7Kr+b-Y%*BA`$rI ze0|F^C2vC5D_mCj@|ZPglP&Mv?VX?oMr=5qYDx~w^z3$XR{Q>VsA`J7&^UESz8x^e zbBy}j0?n6ARmUgNv7T>=1j7qw(RJca~m>XAP7ETbVEcB9vV`Nl z-AwtCQ1uRrl#3O*cWBm&G{qbe5ab{n!c7$Ce^b-?@r)Tjz5xfLD4R1VAgoKyMSqlo z2;AG>T-AG6QBODvFt=6t)*0Fa+q8T5!5x$MAexmIT$nt-bKzxh zUd(KsYBHB`%=t@|xkUK_h3N9z7B=RJkroFOI8M}4X|``Cq}_`Diqa|9Nu*Ob&SV-8 z2qO2;g!{!>4wUPHPK~viIMPcX1q@<0UNDWNsnW3R_z*~SLDvhdkOJp;XP!Ng`c#~) z_D&u`b9hm*g-xQF6t$6!Om61mXGnk`N$+)7zaGt*l!2SkfjUR-4~tN1&5-s>R2sf& zVYx;C3uiWc_ng8KRW|2_Ct>G94rfW%@uCYPQU+5bX(}rpX!}T9gtD3sy`z{RIUxjO zU%C*9e57$q3H-)J3_yc%fL=uQV$sKJs#rDRO(%sMX?C;jx!ZZj3*;{dkjN~j3_uS; zwQl_^wmHjf3`N;lH}mg1{%U8B<5!^B;py+x-UfiA%VM?7x|IO4HGaFToMib1&h+oG zEZ@i$a}>?cdkq?pxaUS_)EQ4}_t&9y&%budXO1ycL%`o$c25dckY5BEkc6A@nfzKF zLW%q^@p4i?1|ev}_A14SMQ=<+rvMwr22!m9vuBt$o!ra$h11%jK}DY&lZ(GPz6?H{ zw#9O=sQ`XLk#ND?ht|#>OC<^}`;N#RC8Ucb$}paT-#h$@4v9dndB-;^$PH=wNp|IV z5F**9HZ3gl9hn84w@C&f;sqmc^&bqyj9yrhF=21r8-JF!gZyic|F7Cdq22^F8cw}P zU;=xm-rvC5s8D;&7VUS?UO`kED(c%QwAWO4g{&WIDbUBoh%MdmQ&|Ge*EVDpLe*Cs zY8`nxfH`FvliW`hCHhWr4V zH#h+o7sX2%h8aAXXxFm%M>!Z9Vr4bpDCdp_W>6e1)C4CCOzt*t-b&_F_ul;B&Dt_^ z*{_8^D_o@_0XM9+Bg*HyTjyKq<7@<&;QK$~h()P1S{14`AoO+|41l>crngsiwUpPL zw-(e}b?b4PP1#+eJHpz%wK#eyE*L;PRoHt->8>dFh(tGc?n7Lcq{&UaAKldQOG>4R zh`15>Sc^ItKZvWaTfO_rMdCqxy`K3`6ADt>*lAWBBG;oB0D-ndoZ9U&q-ab?56zj+ z=krIdr!60$eaOdq%0kB=05sdRfh&9`$>0M@K*g1fU(C=r zo9JYpeb}WwNC{cmG1i8V$~1$3CzK;92OxxiK_31X=+L=)fwX;$!ETdLRj^wpMFFPK zCCyKLDuJNz5^EyUcwv^*S)y(skp8{!Yi1<@0R{3sSB4uj=>`DNU#A(C4P(7DPu*(~ zd;g&kQ_A)>14L(`>;be^51IxrMyoy(eU160)OLA8@rR2OWPM=~5tWTrWMxeB(!nPX zKy;-KV^slJ;P79zCE3Tftd215bh%)hNg`bE-P~hD0c1M5v}swIyn3)>l}XX+pVf<63sRDgk&2UntPWE3X*z+jtw2_&y_@Jb5j)ey(KVBxBgr#5zE;9(z)^HAG z5~;jdM-9J3p6lvH8<*om^WodA2%v}e39abKig+{kvu{x*fv~VVcnoLtWBRGdv^ve1 z5(ihP8>>)4Ux8X2;+HI&`_eP!I@&Bh_l*6$K)5jJ_B3&9$S&{!+XNDQ;*dYRg{AMH!a~ED3#X%<`g~g_Qz~92Kj*cgvAI1?)IzdTlZRVZaoM=tA-^y%?|O<03LQ zm-FGm1HS|wt?8GwBH_4L-mD@kC|D;FYCICg!s>Kz&LBZ(g8@Nl9g28%_hu~R0#j_6 zE??A_4V|H>Jmr%r5m{x@X)=HygX?G4vvUme$pW6jZ)iOS#tgA zVc6Hq0I*gq-1xQu04L6)*))< znp5?N?8*nyXDLF>-vsvqW7jXYmWJw9sut~CqLA>M57LP#@u`^seAq>90gnSHPwFo{ z*rmFP=&$+ELS~c7q$_Tb@aYL^VDl`b1MVjcLK*Ky0nHwKd+zOKYtJ7884aZfDWshJ zRG|H))NI1BR0aCJ6GrD0F*GY4b76vS8rM=3HQWFDAQ|vNrF1;S-jh~v)YJcvYFAtr z?ItKP**7~oXS@JWgDw8|*%Nzw=HiEYJhj{~(WhaEX%xcCdiSF&DD{8^@l>e?h?Dr= z4TcibMFX1`7#n<|Rh?=eTJ1p4ugCV&z|&Sr00zDC)Sw_~56b8g^H8_?RJ$zi-Qv_= z`Yc)>&4@Gul>j@-Ug(si_|!2mI&B*=93%xd_(I3T)nKs5N$8sccnHu}{o_c-e=B7P zQN-olMh>0A8vZcHHB)fIY~Eqyw<;~5o%F4-%rxa?AZy-Gq|AXw-%8z+W&LEG>|NsK zrs5L|REu4yyvvXEtGTYcUN4`mcW7Qu42m!arWHLu8>%-X0Z#Eq2gCb62WGa5ApTrC z|KLQ#({OA*UODHDN_F7ogaZhu?l2QHhK=TCF-9y(`-+IgN7EGMg!}_L@wDvBx@&-o ziKSO@c&g4$50tk(Pqcyk(Ev2;s$@BC`=O{5Fbf3W85Z;8W9k>~9?cLcH$IzPdE2>4 zVyHznc}I0G(2@iO2ViXWdpiAx zA>+r~8w~Y(pP$ScdUdA$V5T0Zl8(x=(*uSM(O3ki^o-1-C|W&do_!Bg>>_Sh#YR%k zdGGS+a3#RTln{wFr{P}UOQy;Wtv@rjLX}$vbYC*BILE$B(QXb9BUW6*(>4hf3cSB5 zFg%Egy~yjOV?=^oCKHSrPWP7qY6a$+XETCPbzmsY7djKI4(7i2;`ANbNKky?)|07; zz$O9AO*hr|7F|4A2>z7>+e-zIWfNN8_8h1ydwn860U&Bspi`eQrk`1|)L4OVE;LqW zpkh!4#9hyf6D_No@8-hcrpg609{UPusM@ z8V?CjixhK$4xbO?cs0Y&cu_l^-X(EinkN1M`;yH4riRS`P`%Eb-i@-L=Ker+uSj{+ zAFUliA@rOAZ(SZOo@Wy(1f=qO;w;$mq@1^T!1IjiDkJXNV(HcBSRgYdn~rWr7y)hE zu{$gB9J$NX*FDRAaqE+_wckIIB;LmjOCeHzrUC#AAi{K`TvRONN*>!mstXzhSLy${ z8^~X3%qj*Iq)7{ORPLU0F`EZg(?eFmjA5@S@NtJRG(V-*tGZ@T)qcVNMA)j@%h=R7 zQ$aVbV_7{t*t535uNLe30ZB}^qdBE0KwsvSZ#O%3vW@S6+kC}>n?t%+<3^$`)_BJ? z*E1F^C7`Ix@ZXW>G%G6D@&S=G>L71^Mh06;Dbto{56nDxDGXqfYp6Sg#6D2)I2QVm zh<1-Bch8zB`Fxa)CJ!Z(OH&C z%<-bJMIu)Uf@02{E-Y-!FBW@$_zY`-m$kZ$=V0Rn@EcvP8w>=UvlNxLvO z63udryVq6*;4QRc0Gkg^DYLw}!-0ilnP;h<=S39F9uk`pf3!gp6lixXbUt=PYWS}C z6L5a~O@^?dANX`*#xc&iLmC_D4FS9nj%*UtzoBmRYxY`gWpdxG7-DR%>g(qMS$lU* z7pQ=cOD#_jCxWK9-t4hojiU>stc5M*vaFKC<0;N|9VQ9T3s(2iX-rx9e!~f#X|r8l zP`4bE5=oWkphXqAHu*Cd;K6mOV6HKR+>P71+j|UCwJ+u}o_z*mP^TzL275-w2D%9i zz%t4i)T=zOcXw1A)Q`c-)SQgwC>etT^_0{E&L92D%plg&mA7bmbEjeVHormAZMh185Er`Y*PvhL z!`^?Qst)V9WCs)=b3DvCP$I`7KCOw9fmA$u7u(&{Iy+lg&=MwdG(VG{y{HphwsI|l zZTzF26oCDU^YRPkboxsNV&vbqBA-^6r5a5lP2spSsieJA92&rxAV_8J>kF^Mjxo>@ z)F0#fH>_1;lBSS_-5EEPn`{igj(MFr*$s|DiRcY~=+e))?9Mw!^TXb!$HNuT_!mVD z07dph(%@+y+#&f){n;pGg<;W;z~7{IsUHO;nDTuU3M>yq_eNLJ2zLLjhkfDv&A#Yb z#1R7eI=%^xLw?@PRs=X^D%;)5ad+gzthpI2Qnu4xnYd|6R3YEeQ?{zDU{V09>^~*g z$y;3DUeX-(idfS5Dd0xR0~eKRD>GC36aLNRmF1lRBv#-$>!5$4NOiYZ1UH-A9n$ty zf9P0>g^hs_0f_;1MeK!PDEFKYBkb*^ zyPgohk2|AQAr5D^bS7#HLB3py^~fVF*PVpJN^u|rMy3;h&OovnksG@W>|S#^!Vs`_ zeUmc?Oex06`)qf1%7!WgfWGZ&D)PBd{*&8Vq-Z|;$Ab#~nvj*cCzoqfLZ{Iq7BKnJ zWxz5eh?+|O%eJU|m&AO)*Fy!9NSSQB7TRX&7c_AGJjsA2>AG#Nqd-`0i*S zMdNd8XqM{g? zsEY4*5PaOm0h7uZnWibN?{>YJ(iVj>Mi2+0CP-ESfO>Z%GVIytbM3#wh0k{KNEOx0 z61_hKv1+L6bd;?h4qWFxHW~ZNSCwR4MuPWlPm(v9Wv1k?hHV9MWnh}31Oug-Id#BD z{rKl4F<84v({XS**sGXVPUPq=Sgqz}P%=>VP9T@dvFJ6r$;Dz*h+U0Ls?MY2P5TgJ zXc0zH?LZBH9@pgG!nx>|g~Yd(nZSDKa~F&w;mz`{>gKowO&|im^nYo7=P-8b*zV~O zjCdy?2+(zInYOlgbIMA|WQ%wiz#qMyt~PkzU{-_3O(klZdQFGJ7s_gl=?ZOq5{2_0 zalo@p;5NtJ-OZ`T?C9yBAmsp?Z(z^{cg22?GtSYg<66!ig06`&Ngt>g?RO^(O@gMSquGQhe!lR6w zQ%N z#$?jv&NOo0tA}l$q*T-Q{PMkt>75RER?zD3au-}3+y80HEdaZcZ863_SY?yK#AkX8 z%oyeavW&}<`sGSOV!H~$%e1ANiZ$53iV*CQ4SZ8YsRq*!fs8fYYUi?msB0LDecxTS z5d`|9Ly}CVAE3^wYBEo~^gw`>a68YQj|p={D^{RErjqsr*WzdjYSPb$O;$UBH%7o< zF;M^9GiWx6sOrKZY(JVF_od1RB3}2cky>RF!5;#cyeP-XMU;}37wm3tDI3Ch*s>Wc zl0OEus9(ZXCLt>ZzL|vm5%QZ!ht5VxpcnKB69}Q4w_g7?+x)WLz=_cc0 zk<;VH2w9@x;NJWm+$nb9R{b; zGfm8k5J`Y$LU3f3p97M{+-{3XlS%#Qa9S`rf)^l3O2*`YQBV+oHzZ?oygVS8ehYJ1 zPT{Dkm&H-8z}4>2*DvbZ_pX2m7{2KXmEF+LOiO~1&uoii)cu&|?IRlLWv!pQ_jHp= z12R8JOT{(WWTwNd#vIjYNShYkSTFe!^|FI`YZ*?4^8tH`*g;DBph=5ASoQU6$WL zveA2mQBl6pfX?h6;{$;(m4(^1Z%2J{Ysbcmhn~+29ml;~?6|~E=>X3Sgvjr~DA&o$ zsi!v1U~mkSo^Gt<_W!z|iJ)1DYyOqy9+I>nsMM5yI zgQId_CM-=@DWz~{jgV*K{r%Jj8Kl3?`lT{7N-1d4R+5Mg5SKwF4u@l_vrBNWF)F&d zWR>IJAJIe>0rjsCm$9Uc2Mp-UMAfn4kTcgN5=HSlNS2N_lJ38uUwe8vwR~ zSEKdHdSa3P{+K`cPzlazTaaXiG?m|Ak706YNM!&&d|fBTL{_6xNB}$ z_WnT32+ZA|yTil*g$u2q2^kbifObrovj6DtZ@-=I8X}vV-?0iaO=PRoK+ps20%6e| zv9I+R5z)m&-B*V2R3dtlE;8VY7MT?j2ITJMT|6NZ`(9=IGqUAuHsUKZOW*lD#jg>( zObX{i(E$wt{c)XSZo`tkn{o)jo_R=Yy8O{qo27v&GacR(e#rnQC_5@2!?yN)xuCxn z$c)~3EDdLk#D#~#g`DYrjdMJ}3|;2VAt6GE3r}4)mXjlJS#3H4J*zYGGcL1ScG&P= zIS|%G%9LhxhS8|Shk|d1tB&;P&9$DrFOk>18W(d&1!#?yIu;@#EU>#Z2kbDp}6d}UKuoG zNp`^XAa;BUBW_P3(OG}T0~8l-{Fu1~a9@1h4cmFqhayRx@&B`Tc4qcjt1Nm4VE`OC z4P<;*ixpWi_$Uds7iqZNj(>IPmGd^ex35|$-rxff;a%qtGQZ|N7Jl5H%Uqzmqu#0| zL@CY%&;0`XS$hQ!9PNmFL2kqzr%gzluZ&FiA7l(j!aE)>v9YIt=x;-Q?X!=nO?U89RA8dL6L|N1B!Via0*Tw0zq#2-_y4Wr5zAUX*rckCzK zvG$6^vf@EK9WISPKwUZQ8=AOI;{!?sAdqm_ z!99R6xU{W%&S-SvG(Z5Ue1{Y1&a4=V*6JJ{4J4}_j>O$bvpV&h58LF4u%K?%z0@BsU=BW*j7J+N#Rji)9HrW1-+jYC6Zzs*P74%NAiv-%iHXY z<=HHRT{&dJ*Un3<1E&yRP=WBn>Kz19#$y232#T3E^Ggl!v_awdW`Yz%vD=VAwhu>P z$xl#7aRGV&6yK(ZpesG7QR++BZg5LY9hCrHt%w!N0SZalrsBQ;$Rd32JQ>hy>yDy- z&16Qr?n6kDLo_^B`Kwi^r=^yG4lw^lHOL}L@A4mX_pWp^`E_d(aHveS-Qu&Xkbd*y zga&vX?tMNfl%KND={vFwS(aV!?c_?8e{d8JF}c7lYrx?VXPl%bWefx$5i zXKdPBm--2CsGj*+_^W@Vu9#{v$k7h;C3;ag7WjH+5HYR&Kv3j69yH9!cz>=}wY|WA z{Ad*A<44&2Cq8vh4bOpH6}3hE&qYy=3{}%zgrw#&FTz2)oK{2I$1)iBbr0T2rW23> zR+?Binh(cB6)N{0Qs=lxLuJoWews}PK>iB?)=%2~gqH}p66~63FH!T%ftXoSmrFP5hfadG7biz3FLj&mc2}=gyHAj z@M3PgKwHBDZb3S~Mho2>jE_gIp;HvuFUXyp(|W?>0w-|FAIxpifJl|je2936R>KUQGQ;N)FzHfCBK z903qm5p$^AbqivXAy0Uze%Rz#&4;jGdN)Uzu^qb>^GFS7J`+WPbvsH7_Nk3~4IL^C zpIWHYFS&qs3UCjIhQ2od*f(@R928|gRdxS5eqMd$SJ>iU_xu^2hL#do7&2^x0fxhC z_&6jQa9$_vhYT&?eXPbs%xX}3^>sMgzMsr%L3XZIkvThdG@RTwUrmkFJqO-(=Z0z zX5Jih;EMndaFdURHIzw=8R)Rqc3+y>+!sj>LkzU3X+74Ay z=U&G3PEo4+A!TO<9(&=f&lQY(_DVdYJ^uIP&pDJ_}@xv7?V|e^Y0dA%%au~k~7)W>P*6?Q1ur~JUqnkUn*eB5>`&E z#A^%{+VPyIap*gV%U%=I8`~XT`@l_Q)u9q_$~XkOl@swpSC7tmaSx6XFJ?pw_}L17 zMNKWqG3E#cSe3wzx=3)0wg8If&Ke?a|L989#CsKp0eS>P z!gwa}v&Zuf&y;$3cnPfu6%BfA1zBV>{`#5G@W8b9JjvhL|Fw5jPjNTVa$zC3yZ_k5 z-JQiX5FCQLOK=Gi+}+(mus|TVy9Edd?yiC04goHI!M)G7>YLZ8IyKV|Q*};HcTcpS zb-NLA#=i^C;C=J!-DYyll(C9b;0h@KG&I-Q66G`Vjhm;<#c>No`G_Bm#|WK<1S!a2 zRV)^y0@^0pvgt|@hD+@x3dredRn+gNrMo~^m<11LM5H;PIY3u7?@CO$hHQn4;7Ir{ z1ihA^vkB^AEe(O9@98W`g{(k6*5YDVd+ev)OEwh!TrcaK$Dw?L!=;xc=7cQCuU}b! zN|IWZdhC^ue5o2Q+S$^Cchxsa@B;^^V^bYNsO~x_z{l^uvy)_6?NGu_f>r|(zqMI0 z4inmD5mrv>yRi}!q5<}v=f{Nl3m;XsZB8tPy75}oTw=MUh$XQzn%?K~>Lda)zOyOT zhk~UUU_+muXs&g~{5FfXsqn@S?8#&j7hVY9cpO<})oTDM|3zN_8=o&4C~i6$7aHEW zW8xPa<9e(H;?RE-r7Kj+mk4iAKkas!$#GeZBz=hE%;SB3ZCDva2>=*(yIy*Nc2xF| zbC>))_X8V!iz0fWYXz53pR(vZ6oAehmG4SyVXuO4aUJnd=BU!+EcMip=c3w%U2Wcp zD-U4TliqyKAns3b<|YcmlK1a1E2FaZX1|DO^*Xjkv||QT+coAv?|A?z&wQ8Mz%^~Y zI?UURl}cKrzA`?ZHqKC>3>JIL3z?anvk@2*U~90gXc0<)-K2WE27JR^ynF)z%(m`eW_Z*907`b#gTk0Ggs(hT`>nc)L1_xD>`+j=&mE`Op3z z@;F8*^ws8{KLcd2JZ~$?<_TxM@~`J;zehgbGZFZ3r5#NoTy%H$*?bN3z_HaiTxQ ziLqxffh^S3$B3i%myx0N?ro4b#qPy8YJVL#ZK5z{GBzh=3_y71;&+q6x8~{mW#cRT z8Rt;@>{oFVhNq9rPC?&p1OW6mCMtaj)+EjvH?9~3&CEd$Lls9GC9gTk@hQp z?C&`SX{brhNyRVc0XprKTds@K=izaVkRM;cSkJ-Oq8)@*L=;QZj53+vS29Si3BUMX zN^b&jAR*#4yF*e-pn8CD!_67M!355%M! z;sOP7@1tfXtr@XMw;$D<4doP)0G^-}+4OrL`g~(}HcH^RtF+WVyC*EdSFcBh`yWds zEf8BqzMqrVqGD;r6>8xBz?|LkGe=P*HM-|7kN76IHXmqL{JqpT0>>E+jtzHvb172f z$CsALH7*DnWoATlX;om5Jz+wO%*Lzn!>1+~b$* zCRw=0$}?0us3>bp@)2(Uh3RlKpn)02Ghj~-!12=hDW}S%b5flCW`Z-~njrK(cDo?k zr)wDM7<=v_0T8p0ZF~B{%GhH9N!>aEwb7~ITtPchp-L!_XMn^p8^{c64AY4i@L#4I zCCe6ID^+5FH`#|&`@x6V_A#wi#Q+Wz1@eV@pV6jI0h6CkorD-2K1)t!a&McOW8jXHBfcg!>Q7-ztU17kwdoSvJ@8E$&USmWD0Sv%9!V{IA)`9V@ zAAw_4hvT`NMA*XU5+=QbJbwb?y$1n63auwj5KG<4O)PL8EoPt`XAqF!$+1}<@fh=G zQQ|=az>qQ%CtH_+`z%2=%K}`k zVC2|l3zMF~+9B&?>4O(8HjJV!$v-Z~#rC~4$CKfJzWyTGuS8de<91Bsu6gK(-$L;i zFO1n&=UY@FUTCWrx{cjyHob_u_3wUIXq$_>1Gfy0C3{%#l(EQ#>&+X0IB=qU8lu{4 zFwSHnnBylYo2I22))wz&PLe7|ZT!se%2>-Sg#CqbeYUkqhOJ*@T$wZ$SqvNqIR-6% zdr0Tlkc9%Ok-AR^W8T^_Azqil&1Im0ckVUI-@j)sA!Vn3$@WVEaG5z73M0oi>@2{W z4h*OsdbGQ5rsam~3~xZMF3cij0G#3>{PtMTi%Vxx^p+K*536U3B3Jnn2q$5Wss+PA@6&&x7pPe9D z4%@}Q`NPVK7@uGW2gLvmw=Uju-&w{%3Pz(Dd9rB!tZh|I3dg z_%ZrH#G|?{1~{(&NZCPbhynzV%CA||aovE)?5nLeGT4vMp5)AU)AA|B=MAHq9cY08 zyGS#-cl*uLO}O*&iLN32i z4oH!I``}DdVI}3)#1S8YMs|p;`k0~<6AUYsrW`ugqXASqyYQwq_;nF;-A)h~vm<)w zFYIU=BKvTff2(_JsN(_Kox5r`99%mIJA6z6>vXZf$gBUfJ~e7L*{k$QYq1mnt9LG{ z9Ff~^&XFhXik%u1bli6@y1163cV_VISNEitfIGNex!Y-rYb}tkxqf^!YONL}R-4bh zS2v9p$@*tWbij?kyxu%n9N%hVHGka(6{PYfsD}EZi7w}Z+0l+F^;baecArX_?9gW= zDAUUsaX&Kd+1#L(pH#AmJ7gaw2c`k?Ze>zfH`tral|0+gl@O|{iUR9yE-E^|W$qF- zj(es83u(!F>zvM_qj~7=7ep1VW0QFAlh|)v6?5@6 zJM&Z-r9@(0Ytx*Qr%&D&qyU%yM%$3^Z`*n(v8@@abMR_o`YrVPK%G8wp<>=P5bITP}HR@?X& z+!Ta_pkET+>jAhVKss8$#Pza-FovW=cQ3;Avg7x+&FWflVF!mtf)Q*?i2z#Js8Sz4 zRfFMlAK$9goAWSa-aXcl0A|3Z99rY7`30DME-vMiHJq*Iz3bXl`-Nr8VHw&V)KhopRl6Mf6~6vN(a13Z4m`M!VDL z0oQz@LMhcGIpp-t*lN7I0KamNREhWHW5;5YxJpVR4@C z2YZ397v_!LPF|VsNdWF~RHWYCm410hneW}rt*O*%R#~n7bL$&xvw<)!`;-j)c9?GD zZ~A`i8}0+wUA*}A+8;%ybHB#fptTlW%^Hao*vvCg7__=qZ=j}hQW&Gm*X2+oau-{a zcg3O7C|bp@0fs9Xh!?fH)!a_H?@Xa6?mvnsZx9>uRO$!Br3dJezXEGx#1(Bgo4p`2Rqs8Xkd%5VTH;i%v)%Nc%Qvti1O7~^`X=9Bi87Jc=U=q1WL zP+t;&JXigKOrDXZzQ(&QgOCtV_fq^v#wMp?s(~+d+F%R>B#xQ<{oUqbfOJgr z`%GnlZqW)=uCY1?TO5RbPts9sk8f#HjaK?GR`2`1j$k2)H_#O3wHb zuz*ULvK2S_BEoR*)MV_z(-6!W_#q}79Soc?I0)Wk)#Os$_?@VYq$&nk`Z(Anm?f-9 z=o>K#MtudI1snFrClKMi2)JpACo)t&rM{WD8xQwqToC&A&1*IYP$#GfN^C0b?+ycp zlK61>h9l(V*S_nkk~IbMXb@SWXvRH2V}?Te*}<}D56T7O%qx0 zkbt1XExPC`B9&NehKI<%w#M%H$x+7^+mzs+Tlr|ETls+gY?0~6rDwD5mKg!-@JKV( z3CTAbJeSe<6Lz#>?>%}n@T(=q|GF9;6k++@v6+Hp(=EC87;5>*-D5=QVc~-Rq90Qt z1`wdj=}?;q6@FvpLrGfm^NzFYm^Xbavo;Ig>T`PV{4l`kT#`M)#F7h|&$Cp+9Ds<> znL%o#UALRx$VKEV;7^C_Gy`zde31~Xq!mVV2*jI;3cp3ePEbN)N7QG$pvB!P-@`!- z)?cmv3u)PufV&!A>@hD;Cqnx`zT3vQzRnKTYWbvrqGy&n;=l?Mna_0p-8AsF&=d86 zA*+T^rtJhNrl0AYLq`&M)j(Ur%HN+*b}LrSS^P=I0l<0p=jDm{^7%opLBj_S6ca$D zJE|)g@bKy~pFF-!ZZ^fC;ABPxOQHlN`|gOnxak!=D%}5khE^K(T7Ve*#yG%CGC{>? zGf>nIS@MZ#IkrlEkU+H=8^y0SW-_`RXDzA2FV>yJ%r5KH2Ei0|UdG3ps5nEXQerQQ zX2MwsM-$Xt%_{gr;5un{tW$n2F*EH(O&ibFO_vnL!!B|=OE^0@JjT^mHpnGqdV5S$ z{{$+)9OCli+$BN0@ebw2AKWvbmTRdVlul-h4FIp<3oOQnKmvW8~0FE3P|+wa*U9%XEX8s%0zyPRH$HlCKb-hEB1Vx=(t1m;hzlRE zMZ-gcgDvTdJ$;a*=Hc?PPw|69#wam1xjz>@(dy^d{2dMP%Ht12`RRfOW+KEt{3gIs zpS1}9%XNlYZUMq8p9Zg7h?Rp?!o^HcJZXo;J{tZi0{E+UgDJ6AFX*ToyX6|>ya6S zX~-m0^Jd>f`eTT+3LnDfzo^(NX4|f=l{3HHJoLF+vSnlyb5w`Shoe0>IKgOq2xy7} z3de2m9YffCu+wwQYjbbp_Ux7O^D)8LGIo4TkGoh`D^k}bga}*aFF&1(!NR1T@^*AJ zRFx>IZBn>zHRykXxK;krFKL5du$IDUQW%@8aHH?+%S9k69x7q_Qog{u~xCx;;xCMG?2`1Kuy>PQ9s1`i*Kdbw(aE`r`Vc_oVAwbdAy?Dn_JlFtSLd?2yP zkh@c2>$>^W&wp=FasCZy7o?7ENO`<{|E1u(hqCLN@IS)J=Ut7BxvvR1_f<_1DH!3d z6BA$`RHyHYUYPJI%GOD^9lmm-SCZ3j5MNaN93rM@_Fm~C7c@O$1|(u$5lcVApwUwQ zIkpjj8s3};MhLLQkI|e-%f=a4zRe`^#m8!AgPFoAh$ zBkd^^JAQj!H8$D?sVv~8!?uEKO(+4qrl%;_6(Atm-Ld>TpbpCqj=^5V?ribm3L+nBro5qGv*25j0@fxPP@aY zE}}N?Nrq0SeP@IhJK*ongPb`*?hgm z7oCGf=-n0v9x*1+;I+!l`&HGOE=ykw`R%yhQL5qNtXb{|4}X@x*zk9`WDonPVQG%m zGue>du_;BXo^3t&JS%DVGa`g*(#ay*ggy7Gn&h8lqdu*tK*1E{Uh>b;*9Yu;Y_#wP zgj?*>3;DOlCs`4BSlr^K`^MSUjA=?j|Bf+`=A*H9xG=RvC_cr?Onb;?3{8$?U5{fU zAhoijuNM`SkFAlxd#&JiF=aRN@k716ceK^8;So8_7!y1auj$^zG)N~#PxH&)!E8G_ZEHBK zmW*)nDPboOLbW>kesl3+X#6?I-YH_$_d8!zSJYMtcO=e|5kUZV@bZ=2hXSUCwG1uo~Gi3(oY(dfk{5de;JgWY$IKE4i|ceKf6SeKZHA zIe23=&|%Av8L8=wV)1K!k$FISg3AR>X5?pFB+`T%&Ncob`RrYaH)Z5gNup|lG78;R zJZpKwokY{NM&TGU7b$5bB{ppjxJp9CF$%X$s!@~@^vm2RdnY`?38U)wtC!m$P$d}(SB+Ahd$jqq#voP8VodpSa}8Cx6+}?K!iM=;e`ve0Foj+H0LrJ4_D&Pp6z>9E zK`*>|HmrPdOv2{fYS;@eLZQ>aJ)nBe&*VglT$W@*4RZ--52!=2G=>=M_vTMFk zdDK^C(YjCO#AFulDzP}$+gbQIBK5|ti%dYAJK!2-uwBfdwLeH>*ge47(YXyunn0h( z*aJ0kocs*j+@Y4v@qnS;MGo&$I6_y{dQE;o{xT3t*l-X+`zs&VIM<`nkGO`l&EwuLoBwFu0lIi*gjnuV5;_?~K%jLGbf*1-P z8b*Yl%n%1#Rabm#!M1@nvrgWlyKVDc6mLLFu2AB@fyb5ZgiN?5)M(EIQW1=B5^B1r zO8X_jH?pr-Vw4jiv2*#^k(gbA5U)UY(*R|!;laTATZeTu$k43H6J>cSWXtf1iXv`E z1_!et`39lUtqte!%3^R_UFS|y)3*PZE8ykm6TzO2_O5Qb?4L!zKZ)~Rp7Xw0IO9=@ z7bauT`iNWvqrRjIqNq;icQ${FO!?3z!YiY+>}RtZv9v(vOK|!4k*Jkymc3K}|MCMl zw4|5Lr0s@~c8sufs%zj6E5e?887@(b=~_R%B~JaBybcZsm@RLeoywTX3W8JIdsL`ji7}{2aHj@kM&55Y>wXv@wCb(_tYJoIfM3-!5$W`77N!ix&2j~xAfa~9%!oA4`{I&QDn_CoO(c!inZSFYh6|sVlMg@t?Dp4Sqnjd9 zOv!GSt&zDChh(>~VTQ+;YRG3a_L|dH$1`v!mRGAd86=;swj=odoh-riEc5#k?>*bp zoO9#CZt$l%sN3)TK^3X#K9sWJ`m^G9P3>DAIc#TLK$i9AFOTb;)Q_(ojJX=jH0 z_hnEEQ5U~U`{p^sj1fpEbh=Xy#4ZXk^@*V}npmA6Q; z_Bc4j_UIt3kQLkExGHAFyIh8qh{wHw^1gB1WuUtvOZ^#qYoPxYC!U6)mnC~DH#I&x z*BZv$j@a&bg)`m6zVsL*=!k3?7tNN9_KVuFS-KdK`=*~5!+O=5nngG^(y^9Dpd7nh z<_k2|DT|{$y>FW42pbmcqVVb-I;^}?KTs?X{P`OwECMHW9A%;=^wZ3d`IjWF${33< zb*L84%ai*@S~kWL7(Gh>zEqi1fp7bO9P-LdwIV>RLKSH+I0&BVBh;<^02ZEDNrQ z1cm_XFT`%NPS)P=b3v{ec_eT;j$QI#zYCYmU}ti~#|D|RoITokKJK5?H}tbRw>5BX zFvDnNsk9*H=PrvQ6-#pcLsV;#Q%;G&u-R{H4KIiu__jBi$uFxTQ>=m;-Kf#gj>Io3 z(=zLz5sx(u3Ou}htY$e+HopX;CcDYQ&u_s{`O1tCH7cc9knHJ)Zfv#zt7(|LN3?5e z(kcdV67B#anz(U$kB@<_&hXwDxDP6a*jJZGjngce760j2-_gDHuwrm$)V$HF|4~G! zPy`623M$M#zj{2!AluePG(jJERJWZxZDW%s;6ma3Ar6uK^37wA0cGGsEhrjg0ezH> zO`*@UyEIB;iBW~x)Gx~o4{XdyqTEF+af&ngDZ>c-Ff}5Oc)~~`;`~aA zYq`Wwr9K{0=vte?YwpW7tcE6+Q;gSofAMD0orDMncX1OWn2PW_S{-PuU)Oy+>-qUP z+p=6R$nL&}>JMV)T2{>5;75A6jWUm+%|O>rj6DBBQ%v-O?d2Td3pN7Uo{L>oa)*pb z;ez`GC>gj4E#4}Yp;z~qonLkJK8E0+NXw*e9M+P?k-!1}SBd|1dhy@pe+c}C!2fFm zKCr6{X*+lP-o$22n6PY(cN$+;HH7{}A{Of&UeO yC!XN$vdR+jp(U$hruZhMXiCUGtAolR39X!ASVkl9BMANx1fXD`AR%DC7WyAU9;RRb literal 103323 zcmeF)Q*bU{6e#$7v2A{_ZQHhOoH#k*iEZ1qof8`;wr%6Yng6|aW*+8co@VaL>4&v@ zb#?Ww>fK%4wd%KP13o}NK>Yt_0K5ah-$9VySBd|NA0YnUejgz5-+uoy`LF!|$^W0p z|IGi}{Q#-|zeC^uI&GEse_aanLyH9@@B`$(!ynN9BOw2e00II4dG`lIAD!6#BAI5i z_LN{v)!XF8OD$O-(p`gfZ`;jeb8UwXWqUqik~MDIl4V4}`5;}HN3S$ECX`<e?_kY1c3}X~_e3Nm>B#C5H&Y{T>?~cSrwahwV9T z6EMUi!Ic7$rOr#8ovNA zM&UKxx)l-m2Ipy1Oulb=PYGdpwO!4AlYp_Qf3SG7CPyc_+)E(&x`D8qYP9a&_>ef( z{=_NY6D4(}781EXN>IUG|H*-E4Q={&eR@mBs~e`z1iC_;e3X2VfMms`Ki!M?H-kDZ zR9-yx4LC8QWBBq1a!&P}T;WH&#wd2(Wdi+EGy-3L>AnL$uy;$0 zZM&}X`9WQcnf%d zEiGSDI+6UixJMTj154n32>&B}@AqT0T+}{$4=&E=&M+KBpzlg0`ieVf+8<7j71lJ& zKn#Y}=|S{;{BA4?x@V1kaxH!+FZ>+i()NIO&qQ7;txK?lc9MPA1!J7A7E-+c*gePf zsf=tNfZecqaJV-|X^jq|m8Cuc${7x{uch?%k0Du#++lvzxx*4h6_LIRSi@X!ZZ}_^ zt)C!-Rs6MPb}TJr-~qpIg0nHMs>(&@0KcuLv~~dSy?>#wpD^5)8LDE7;cf&2}Wa)n`B}cD>Otz zWq`a@ghdxs6sVNx!ILfp_Xo_IW4kO$0h&?~o@f9=?d2c1HGUXE)4vd?bnuIPDI!{d z4qTk604KfHFeTRJYk3dUM8%fI2S6rSFs^!|O<%XE+uG*USFOq6M#JWarxTa}&duk1 z>--)bD+#6CW6DvfZfv~yf_R6BF7#mEpN>+{Xq*ZLCbKsOB-pk*(649%s%yvSoZ;G531Oh zon`A8w-Fzm+PW}=I}`Lh7mS&od6TXX_A}X0?sPjcEmv|01W zXY}kL>}(Q9B1{di_s;vITJWcyHmvMyzO)X3t*`^~YWH7Id9tDGc#wwY;if_zZ+ry? z*Ia7{oLz78W7{Lvl|2{It}qdz-3VAoye5W$3BZknveBieEX8WfV-$0es(X-k)`igu z1*Df{q}vKKhr1NMW0MqFu2&nZs#Y}%e!h77G>Q)TGZ=rSbS$^*r-4&HBro63y<;?4 z>vMXx>qeqlUA1_(E6OfouXF7`xq#B*7TR6(s8VypEmN0YHW#3A%Xfb8r>@J(s$@Wk|(81D!mix$2IS%?Yr!ZNB1Ut-L`AIeN>hy%kVWQ|B1C8>3;{ zTS@iw9T;h~J?7B3lq$gOM#y3BZb-Oz#XM+7k6gj5DnRo_VW{YLRuF;j+KnfLN^puc zOp_37)r$+d9&c{=@tkBV1h6jF&;zLhlI4H<(dvw6Hb6H8i!+o2lWSlY*qU~hutD#I zgZbe#sdC@&mFWT6R8>w>2akFBpc?4?et@$f$0Be)^-imn_C;Yg6Uo-t@l zJ{650DjAM1G@H?Ah@iRsYdFUdEdlZS-b}4I@B7a;jsl+)W>~639onjvabCpK;YpEU)|a5C)1`s=#xj!9g}2s3mSc>W3hcgZyP9rb|Vk%s}6yanv_MZHZWRHGC77}NMqE=e7`NsH*H+yHv?izRK zRNq_Rd2TJ(FCXxkAnvX7ZsYV>hGwSBv7cTTL2JHOejWQK$F-Q~QjF}lI-(-xi$#F8 z-M>-!L2}UJW9V3IM@^FjJPzSP83C>aR$b2Lt+A)41!mohIIliFV@LTT3OhY4N-%#R zvJZB#4SBNe^nC0mqawmmnU?f?cfQ-f_Q;`LZ`x4B8eF~A6q`wk5nMM`Ndvl%5 zG+*wXA>-|Au;7Igmkr7I$z2_N8?nmxG&aC?3VQfUdiS+DOG~(EH$q>@PzJ#|GQMWn zUg5oL@Mbrm@mvEn10`V{A_jPQNi0g*L`i7c#_p5MON>i()H(i>%4F#ba>&&mimM~% zk(cFdl$x~5#N^GE2)0p{H4;m}Mx8<@I0h7tXw(==lsX51$d8LDedg9OG|P_s%aZGMh5% zo#~0Eqc6Slhi!9?t6qIL9~du_jA_?~xt?wYeIVvjS;+j^z^&dnI1kl1ulI_Qsd^u` zSt|khTmKlgMksh-bdVR(TzlJJ$mxyxZHj@ll{1)^t$Ynn@W2EMgHAANAA_HCBy`%Q zc2!KX>q7MwO31X#%V{0>oi1tOXBIdjeFe3{GeI0D+W_`$r>O4vcO6f3Vc3q&W??Mp zSq-xMgwPOj29<-L1-c1F*2=q3ZW5AR-)q9i6`eV;X&e~X{nbKEJWH_`lO~9J zz7`KU0vHrh2t(l7jl=+sYAGS89Rr=}Dr;?W8>CGR7dh&~v_FL0%g-3FGf0zJ9{!C; z;;iV|b45tdUZJvC6Mt+vE^rc+b-L>Dj72xnq~G|fg9u%EtqcMwl5U*%@{QJ8MSq|Y zwwU0yAin6^2 znjQC5m-XD0<>|16d>yTz=uPF(9u7rBmKHUO9@ud8C=tcZ#1}t1x-nfNP*boX$cHwBdM{TFWv(`jDLX zrDniFXNW39JIPutByAB7pjf*SGfk`NhA=nW@0-4WSFMgr)*6RysMK%7fBg4nSO6vw zfcebE>TtL7!bSs_?W(Gn;utO(1J_L$=-x)onprGyF~KNCFBxEH{LsDAKk3B-#LTk0 zECVF;_b+jI$P}}Ij^mpqdQl%C14x#gYmx<3qp3BEqvC-;YC?*>w1hSmvL(b`FrW#5 zFTD2DCSl9%rsDx!iUg)bNgL#V!rs3R_NW)W8Xn_NhkvW;7z4HL;+1e7T0gebDY;$}>D^nxyr^a*_iXlYxM6U>Ww zV-F*nM1LLSXoS)2uv^TjB*vwPjkUKwF+OCX=-H<0y9)UJ(O`gCqeV6PdH~62@mg%^ zeW=o82lbls5Guvtu=3mpuHkC3;NlKwrymrxfJ5KRvZI_%q-*R4pUN1Lp)H^~g4ThT z@~DfKF$QPsv{<+Ks);IJu8U!$|9uhbMJNwHcGOJYch@1x@&W|AALI*~C!?~Zt!Hs} z=57E8c4r9DtP5e!GN%!w^Y`EI8`#KHg!~##)7Ddc6qk2<k}^rnIq>l=omUTx(`WYbb1YF%QDax zoeDvvDi-H){b7qE8wFQA0O??jO8hW28bujieB=&vUHd-ET{m_i}uYK@Ij8j0l7))x!OAW75Y~+ho@@ye4ylE+MSJFqjeQiw_%4 zsKeV!--@D+XpxekNWAEJEXo4SCYOe<7ZdSyNOqtnm(Dlb!^U$K@hmeffTB_R;g#}2 z+mLBkzX7?}i`7SunE3TX0X&(NI&rsyV`)I8{6rgoM>*l+*)6*tgPmqBYFL>6HLvtp zlZP!24enQC)(V3HCWD}Qe3mToO`?AB{t3$=3Mzz;bT;Cvckjml>F|M3UMeDy>gfex zLo5|LMMP}XA#oXZ=urqp12-pNu=Lge<8`EJ#;^n`Nx8bVQ;%Niv@gizqu8Pb0cvjh4P39?cx9E3 zvqdTKL%xBFpG%rez~B=-8j>F}EvUAu^I%;+kmyT9osDa~=U8}G>#2%*Y~T}m zu~IX1gBwVyOnGBUk}-LBm*&3Pgh~`z`m}$FqEr6mR1z84_9IK)_XIKPTm!+_e5Rdu z>qT>1_w!X)%!WZG`yq*o)lz+C1jeG2cT)tvszBDe7lP#QTHVoF4n8q) z{j;!Yx*KvhK2WL-C7yjRW>MF^>Wj+q20XLR?8}N1lLqA$vXw*GWuFbD0>X$63h$Py zBo^{;wJ3f~5tLtG=r&6zoKs})H%)%9=I8_S$FBnl7Ihq*}=5GVACh%vQdr!Wm5 zW6_4&&7OOftHhf+33Pxtnx5ZfXRjTW&tJ!U<*MTJ)IYoqtv{x<_%B+?-)pAq@QSFI z+a5od1|S{kk}UBd1*09D3swY%(n7jOBlod~3HDmBB=G?T4CRuR{dQeig^DNfHe^HP zPThrxFMoK;DMUYv_ZA=&ljtZvn-pY{n(Dw4RzsCWV>*T!2!;71;g_@RQ^fcO7)}}S zl*cp(oe_-YBp;XHBvmac0n7_~U`+ggK9uzp*<8#M9{(bM5Eh-p2Mk$kX3ezxZ#5-o zZ2i~lgb#l38j_a*!ph@*KI2AUSeZxHsBcG9Gs#~`qP;`OF#^AzqGVkl;e<-YklXc6 z5KBu*5#F39Z0;&Q;o4qCqb9VE!|s%|+B|&t=PrzhhhdKQFs*s-8411xk&Kovb<71W z>8JRLiT|*xZZ`-}+*)x))9G%aZLVpTfgnMJrImNRcF*$GYu?x0;#tRNR(waiaUuyW zAE%+6BC76|D%~iZixjRZXTRVW)obLEc&@-&3g+=UoJ%iJf^OUFqSvya#!+mDt0K1@ z^A9e^cRFPZ8b}g}y+t3*fz(rQoiYD;P}mnyrOJDtPmwR;!AID3?7s!rnS-dCA%c2u zDz`J2{=j)`)l#ftv-*YN|F^?@zXo{Itm@r!ftrg*G`2iaAF}Astf+^i8c;~3uLYSw zH%~v`_xz=TLi7TtjRlLl=N-ikM15u4l7iV{Pk0u)9Vr^MlKd^!f`Ls69^-tCoX11_ zXsd^0#h{0Nal``uM&aSw9L3`ni!#3)H;+k5Zlb`73Gc>_CwUE#|8ZMFFl!kbvxVS2 z4GEHU>4Dn?u)6(8jgz__fD&SoUrfPpZ!+_eFpAwWN^?6WixwS3wS(dvP7`NM|0lFFL=I7n~q?`W-04_rNE?M=m zr0*tHeGs6ft(%^Nm`4A5x^e?fu#kZ`3bTj!ov*eb7Hx0ek?qIB1QI+=)I=QrD9oiv z{~FAmDe1Qy#}QbZj}6_X!A>k|^%2}UhliOB;uVG9L|I+hFSJ~_hgZrPybcelo}Vfp9pEoM?A2XjlaGQB`QSXtbne zD=Z3I%i3{-8i7WS)<-&)+)ytC+hG3!5uVCO9(E>F5 z3q@~54erp-K{l=EDo=6S)R~1Hb4l1wDVEjHEY!A_xPOS;X2-+=0nuMhe?lq?)UGTa z5pm2(4F{%n>Sy?{yKO^*MX%~$hSZ7$JOgLUs~SspW{{-89-cRIK$s&hvnx)pN_j#D z2r%xQ2s!Ru`04$ou)tq8N1L&jiTk8X(qSd1c71Y8_Rrb{X&h0~x17=sGwC0H38+kh zeqGjydHG1Kilh!HzqEu#BlA5u4+R){;?T_&D|43xdq{;Vn(IM|{tuhRA(D}I5DBi*r1aFEOxanL_em^uw zsEJ`HB2~uo1Cm3huV)P;$*pU^Q9*AyQEE`f2n7L)3AE&ssKEKT>_=44!ihw>o$ylEo{_`J z9!oLbQSI;?^%`FzpL(s;strwj3vvZF7*V+9u=^GiU$mb=sLWFxm~n3$g6VFtZ9u$r>s*P6s6fXOMAMA#5a%8RXNhI zd}$T&X4UH=_o#@baP;}V{p9aUupi*1F7(`Lzrku+xzwOeswPoBacDEZ3^g*E6E*D} zjUY@p6c$&-WR}qo5o|)mg*dD6#>XnZ7k~Z~qirvAYJN;Eyds%QQxv(pTMfaoRi{1K1cfz!TmXKEGOJ)92Q#!Gw?Zfk3Yc0?heJXFhu*O3)-(-eUAdQ4yLHGYtw;(ovH#d^A$PWisP_ z4E?G!Nl&*m8~=hou&y!Zh;QF-k8x|#qIlLVo|L|ck3PU=!@z|9Gb>K z*(wj7MGddzqmy)h+~}`;^AEko&sS%hCdyv}eSsG(^Z5(2kIAD+k)%Ei1$K5uMv%+Z zx(MFbnmF?IoNni@s~ZrxS@(V_g&dKqgNeTpPlKQGjN*1WuC?7jl=Df81C;$R$I1(SR#HuEJtk8TJpnStvynIB$L3&@llro zma|#>o#7;;Y>?h99TIyB@!ggv#?TX>QO7Nmbx4~2!880pf)XqZU^{CX)sAArQ2;X$ z{E3`G$ZE~>>j6$pYD23PyD>d}I30k`|A1*Mk`p*mm)8&9>tb zd#XSEHzLPokr;J9%M#W;14)*>oMp!*h8<_`n+F?#X&4;{ny?kmYWX{6sIZ4!V3xj7 zw?!x}o%ku`N?E}sd04mbdNn2G8NB&oceBB3JIYYH8>@p07_OpyEd!pRk?zKm<#pQR zpS}vD*8`8OM5FUb`P%Mgki`ItsvbRNBM^%uyV*Az4%z5GMCK&YRV|i1U{wNds0p*= zsB#BPtrcH9!KP{<_2GHJusQC+7x(A%t%N@Y;jA5iPtk6WuvG8Fth*a_RTn?oEDtC) z(idOkEtem<;jurqkX*=cmGpP$zO4=!&tmZ@NK(1$HdD;0clSh`7^HEEc7Wo#@q6`$ z`;3_At5uNd+e4)k*WdBrl2gVFFpxi?=ZI2Zjo^TEC=pVa#q<)VYO5fyYUyjOty$X@ z;5ih9W+JrWAX8M%&=5qdS4#Z@6)2)iLQaO|1cLQ)_}UMwX(zDR$NPS2pOEd)Ex5X{ ziS$pu<%*B2rHv43keOh_TK-Boa@w`Le>$BR?JSgLD(DS!k$(eGCwc z(ru&|H&@&10&BO{MjRyci0$fGK_iU8tD)v%|CX~8surz*pyl}>JmC4_U6R8L*$Xpt zBS|*PvyjLCwNAf}i~P<_T{};jf)SE45599^eyV}Oj4h%5qFQT~ev^VEC)Vd^Kwu$` znU^*qs&j;OU(GkzOsdZ9md^A^VT_=qt8m&S@#^}N)u@6??e7jY0JRK(hRWA_BQPc1 z2ONa4TYZ>THeYi;fc-LQe(g>&)in|V0Y}GXh6)b9Me3}jugr}Kgl769O@*rELyMi3 z#D}J^1vKx17N{=@-JU=yrxW$hVswLC9aan&=vc6_U)AYHAq-)T7$p%l6oria1AQ3# z0jGPL%~{qBm`OFvib&L!MaBG-Xq(Alk0qmLHakTJAYj;y@<`sfoE8aaSS zNE517tJPMz(`ftE%WEH-r zn4ZMEBojX`2Ym0^AO!b@#Ppq`yi%KtpEJVO4zY7MEEP!Av+kiZj|Pc_j5MZ>)nDbo zmjS8$@;tEy`S#w%_B-zVSYk3Q-nwnG_5_%6`1Kz{Hqyr1$<;9nM3sBDbQB-v-p) z@H#Yre;A@P5xzQ0fA?iIEu3C^dcS;!205g5cjL_c?!%HdGP1TygZ~|?()m@^@Q8WR z?eG()k<_8ow~sOjj+xtKt0O4ToV*n|!X=EHs+-A0OX@nyV*Cs|@KM(ZJ1O4+r|2)t?5A@Fi{qsQon+h}k zKX;qIt2&k>AaBG!p<1fAs$xFBAnHVN`m1}>=1_z@C=fzoXkjXuoup$a>8fl2E0k_2 z{W5gp%tRPvELyDui4Q`%TRAS^B{1axLyr79?Z<-&qi#q+LKmh;{48Ik zgIO0Q_EyZDmS;)9(57ucDW=T@QTp9MP!x#IEI-p>{mIX!u`~>iVW|_BC)C))PDE=j z^~#bI);7#|lzZIQC;)DPT)P3n`XYnkqylUobcCc4mJ9R`-62oM&Q(GTfqd8?yst93l)n9>>X1BJo>FBA$fI~X=P26F?}j8dO<{vj#&cj)0X9T- zJL_biY9<3)0Bs20Ctx>k23ZIqg}{lP(qE(STJBeOu#Z4}V|o=|f-)eq_)+JH)+Mc; z)yj^;peZwV9o$bNK$c&0gL`FKZ!ID0)gfCJ1(&zmK=8}RdeB_6{k?9#Yl%*Q$2Y?# zy(t}Sj(4OT2cAt0(Y&vWi-RpGupHtbs8A;C~Pr$N{!WLlSILotZug|2t(Wk#>Y zox4&YIJJi0N}`z3=t3xyM#&=a2>y^I7`6O?uk{sPq5AF;18s|e%KQTFvI8Q3F>6ol z8PL&o^w0}sF6$8=`p(VXFHb)30Ww8%kSH)^$Y= z#uR#3HUU+z2uhEfRznEYWQjbnWUT8lHx;U42snix5*y|Wxgtnz*qfj$XjFUc!_q9I zosCWWHpb*CuXw_4+HYP+vM25>a}SbXJnyYy3C0Vr!hJ~~o*c%izp!JBpZRSoD1>@0 z4jHC8I_1$BVLv$KDaK79h%%u1@}&9J4{3QllK|hQ^sZoGh#T}HGA>)5s2E1E70#!+ zGeSG_4svJqD;1-BV^#1j^ADuB#bm`AR}=UCV-5UXKb)f%BhjC{HD8#{8dkO8xk9bv zsns-$)T&-lPQJfJf2}BZ_xHlO*Wr+vQ*M5Rf2EhQUl)MR$ZgnM8gP+K6;ljafN6WA zh*)DXGg`_Qus;Ze>pP;vgTnG}d!;oqNN4Xh7kK6TfUdyqX18Ef+RC#vvW=o%%pLNi zkCU{v%x__Lf1cUI71AQ}UKiyf6180o^#OQ94}+(V*G+_8%O)yB7vO*vi9S z3xmiYHj@iSbvy6{kqZV<=|_p!?$ji4h{GhzXkw67sIs7%E053$atlgmG~}BOZ|Fy{#??)V3`CahX5s?JuoFMWHvLa z9Tdm(^(u9>y+9Vqix6O-W(-C6;g8xd>P;0mn3Yj4&KP&fpE7F=YSmc6$gI_Z1I{URgfqT!cdM7SD10%}O}3Xg}-VD@q# zk5gMHB%Kv?{)YPJQD`0}7u*5yQE_6^v*#9OW4QkRDO-5GHJ+ zPVNY8;0siL(y=owq+or^kxX-Yku^Fq*8aNPdD}3o`m%?ziRZ>)DRgOr33y!Q&jzKc zWM8ETAa+uvp(p(As!}G(qk3n>_u!`j%gx!}s7AY_>O-DppvEHBAM*?)U zKsh6e@%ak3+WyRd-#eB6s?=d!q+8CIbYUu>K%DgAZz5i^WEdSj4XJJd;v-5t^bKDV z*~so^|B_uPmN#%nL-j2?NgJ8GASHt&9#beXhQ|6yiSWjjGXB^u|M%1{QtM!=WtR=? z%l72G=CHKB(ATi?MnvYs$XiQDn*+@DV9Qi#jkYF;_e>K74>U(^@UK=~pe_BK^vJTL z!Hex<7dzstH%czH5~L957(=bRNxK*NUmPCJEj6Hg_!u-^(JJo;M_xJjD%(6133H5- z2-=-FWYC|06tJ~~!(K{|dgL93pu{g)qfvpp(GAoHvu(LtOg?8Hl~7E;?GwGvIuaZq zO$8{L(OsU1&SHI4Io9m@cAgy!Z22L;w@nX&>54tS#rhX|LMqO#T{SO2S`EA2)F+z) zrDazevLi(BaQKZ?;u*W5o2v@bMO5FFDMXHKTV1XvZHq2fGv^F$&-h z-`IH*d9s*`o(>~ZPS&=Vd_bW5I-d$0sDZw6dAPSc(l&DB{Cg{!=+1eW}7CB>7?p^JjP7E(mpj#8Gg%#W@S=T+k;L;0K5Hz}FKpbR zppiIv&)-W)l})?)@1D2}dXAa~;za`k!TJC}L&z!R*YvbHM}|Z2Ri~B4>S%CqZ+~$n zU$=8EXY=S(f(1rgriW>3%jG>v!I6uv@8p zOf#94-}685S}Zrh2&d=q0z%z*MuP2&G;8^Nd`ru`(OSYTBdC;d!|Y!Lr3z4#)@!yJ z<%~&2Zz4Ay#sR@z5}{Hr0w3q7kQWeMA(QRY?+=Ad4_QMeesP+7wvHX9Vl6>7wn%@- z6I4Mn~q3pf+r_PnVKrWg;zfr=nPPBM86{LyT>P) zJCQQ(iCMG?h%1o@joQchn#doE)oR;dI=jqwsK(XJ7qS2TkQQ==nG>^u;(Yj?Yr3Xo zjTOQ$j@)*uxOdz6cp-+$8}_$jL#O@$_aHjpE+W)j9Id2tu@V_2D45{Qx1#zAChNZQ zLCutbsH%~3Igz%?VQ5K1%42KcK&zOP2OYJa41=_dP_i6@6&G7=B26iK!m^djg`swp zucmAYZKq&8xxoEYTFI4-h(15q5*zToa<*$;)+jMCZivy#6Qo=0S;xy;uF0fLksEwm zJJD`$uGGX$NM8PsB+6+JDb#I*n{A#SO+7`+U|UKzk&d+2M{9|pQ@7ejyghBjc0gH`dzIEQ=uq`r%CcxF2OpqFXG-UG>)v-Cq7iP=;?Z;?Be` zQHDgsOTmw?r1x%hhqvUw6x} zwMmu!J;)i757~JXn51B))@~AL9xs~NhpfuN)t3FBP-B9mZ2 zqOXfdNld)KB922160o>&pmp)1>uuu6F?yvs{paTI5p@7|!^8IK%5hb}ZZ=3E+yF zTf69O&deWXw2{X*@*|D*8uZRfI-V=|Cu}BAU04A${anyw)FG$)FgQ_B)~A^+KTZ7C zE@aM405D-V+kzQ12s88=0$o-8a9+WxX@gN+lq!P;q4w=$VSGQ*dSJ&*Yj$p~#@3rW21Qcb#nS=SKF4>{I7xY_N8 z-2oKXGa+L?aE!D#xU%kJ_9nqaDbb>X0@qOQC&R~*u*jBsp%IS%5<)+vJNrny#U$Fj z%GW}>LTg!CQj%>$zINmJ^s0Ob?x=qFnRncKsbVzxr4u+@M-h?qQ=Zg}um9`TGOYup z#VH-^`-V{<}aHJq6E zG?G!roigs;N~_Iw)qWvvCfSFEWAFoji3?n10|a{^ydoofwu9sse%5URW?L-p@-v>) z56RMrgbnh3QZS~yH0PWZ+ly;h)7HdSOX5q~yq`#E^LXT*Fkh$2aUfyOLI8lFu2HRe zyia!(*7LF_W9DJQD@rxW?TBY_C_2M_$8m4Y>%8;J?rKv5|EbT&%%_kYtC@tl-1b1I z1Ll^m@Ben3W{=ZV(!=twoXNt?_ul67}n_dsBo;JsFG$w z305~p9+iP32A$Q*&iBRlx#EcXxo6>aUG@LUo^S2{S>0WSCh^BpADh zRL`Wt@3>HJ4{GeHvoA|5aN(L1(5x>S=WZcDWu9LVp6YE0eqvpNgB&&K+k7w{OuW;aU#1`ky%LQYfZ*}=uyRCD${sBfkR&Cbk2oYtr6EhFKXRC@ z^#MSbOr+=xI@3WgJ?g78J18X%pIbQ z{PQUPJjy?h^3S9E^Czk_eudU2XB@1k?b$Ax=R53G9wNpY*T&!l zXwb@Fow~cZ%i6Y(I27IHzPCvISMke`tm{VrJ(kT^md1#mZkVgjus+tLcn@$lV}z9? zB31#F{yJK*#l^CXd%`G^FATH54rxLAPK&zkFyGJ*!>$mE76O&Z{0fkrpg}$@-;h{I z4;hY0@X}(Glc??XoP2_4+#$0QNEQ?X!KUI3F(8^C&&4_;bi3vrA3wHnd(O8S^alN) z=o4E#+{UGa+BRv?ocwBeYbc68jIa}Jnj7*FIK;6fSSV70HwBlP6N>{|pHE&)aDE{- zu1n(h0srz{0uq8K1Tp6~S%vUPEEb=mGK9SlD$|a#8^ZS+K`y=yea#Sl4Bj`(0vbHB zTBT#X+J3X$u&s6+z_7i&(~F~qf{&AF0NN>cGX^6-0ls*1L`(p$*cfohJsHmWmTlJW z5}%kpw*yVH*&BiXi*pA0w?t-oJbWw8%_1Eoj$tROU;f!fYs;>H-6&+ww3~KN-!STF z(EBhYo>H&f4&?iCyC!*{Ree7swjVVh+T);jwYRgDCM4DszdMNS6(*%OromMWp%?q* z=pBbPr_{%O<HqBU`<7(O4qtgd3rnXjKr!mVcsgLL~NC4opDYIK{X(3eMhiQo>z25IUB>tYl|s> zlPl^!2iF|>7hWR=>+w1D(+2!OR_TQ-3+ZvCD~z!QPbhHXx`HfwpQ{%6esN>%n~M~| zva3sLcj*9vU{j zfY(V5Wpl!jp$U?Y?Z(r}8ksgoB6WBNAtGdP-R6H04=8GQl|8!FTAn^a~ zQ35hAp&!h#*tiU)Y*oOH5*mIdq|<(ex6HVg`y6hI(=Y&Q0fB85&R(PiEMo2p?0u== z#Nb%4ibVo66+LzX(bD-MP+Y@=KY(y9H@^_Z2E%EGWK8)Q=;4AmDkx z~=_S)DL~Gca@(F>)~JvIeWyiVL*GBLNXa$36{HwBMis{vt7`E#?@YS zv{sT>2h7_)_7T96ge0F5W`x6mFc^x0;_qaFa#^E2%O6RW7b2CjAkY=S@PT1yS1}!f z5Al_Nx^?S*(mEaR#y}0XE{iYgImj9x|i?2uyV9Cps*XvP@^=!Diu`oKp7ZtR{89Yy=Z zVp84yOc!SrHP*Ea*GH)e0krC^cOCNg(TLMjGqLJka@%0P{8Ano0M`1;(ry<#CIe|O z8DJqCA){-vfj-s?a>>rQ5-xVli)j`Dg>%nNrCGoNXJJV1FaH!Z!iq$XpdUF!iWoY>6ANP?l!A& zIFJv$99Ng$YC@6iEs7BfMBUvSNlAvKcnz63esOEWj}iF)_9*~^fdB&mfkyhjBTd-!jtUdec2k)O>ONIwiNtTmx7(Rx`3Tba zjV>Z=fQS$t=U?jLhqwmr&>?bg|J{K(j6CM2*@So#Z0f@I8r4E1LX|e_JEkDZ*n{E2gSL_0*n@lMOAw(PkZnt6)Csb7OG^- zR?Pw+w?(7_^iam_<+kv~S*nB8#mC=17Gh&BLNs8v`7)pc!U#40^wpZc=ncbCcj@DzUSrO~Q2Ks2}?9P63v!NnXJn zyrn6K*sFutFSTI#vCr(NLiC{Gg{#CEYO&fw^M?aZQL8cflQ)G~R>_yad*pXdw2b$Y z0;SeX&zo^x^?8D?xrv=)sdeazwo{Tm5jy=!lw@%V`J8f!o8~Gu5T-r;%SORnb3gsL zh9`L4ex`(Pa^X0(yKa>}NsKCoNj7Ua*kIBRPGFiBi+hfQv1AMRg%ML9!>=il4lDtz z80%8!)?wc&_cpw{n7^l-kY9qvtFftT-lcUkmKpPNrut$dstBWQ*7ukVbr2ApLNHX# zxgmi6jX@!!l87xr!==BuJ*l!a`R`Bm_;QkPrgt=${?}dTVVov!6bi9D!I#VO-a?CL z)5I`_&IgM$>D9of^5n6(rT+t)KxDrvc_qLqmgTm-+t-`bcs2T$L}+z5Fd|+nM1vKB%N6G9wJ*`NYpG3E7I6KZ_8%ylJdT(UMK3 z3YTln{!M2vt`U@(Vrly?L-P12uk`Au9$B(aJAAlr<>xD?-kcx&_X*u&FRFVAm4uaQ zO4721bB>o8hS!PG3#vUBDAzByC)8|b$T9aJYP>uWy=iabF1nV8Je!m0sS+Y&`bp+| z)^1R$P;Tuk5NK$QQ5$zwa*@T%z~MTWX&4!hGz_f5W5N3=LuimA*jCdPXYLl>TRJMB zB6Ftr;;V&h3pTd=s|gWm&Qm5sWj7h{;wZih@~Q!pAdcw4Q$+AH>*TWokt+;|y%g@`R}u#+fsrF{=X+49|-$OgD&| zO2P||z&J8QE-Ck79gKMRxl-gw2IvAh>ZA*s@EN8enga+QnPS=QxlV;B(z|uyk6_*Z`Mc z1o%hT@V@TO3yn&|g&}-AWAuZ4|Co9{8vt4>{gwg3KwrbI4R{7H3*T{skF<^b%pw*c z0{3r|b2d$`V8F+Ko!O_H=RC^RC41~5UV0(hJG~m|C~sG&#cq+)h~q24Z}5M$q%h}5Kl zN2HvlXU}?Mj8ywn1}yoQT*BKZLxxHk5ShZpEwi;0&7hlmT1q(zcFkO3|$rw zSgxxCV;!Zk5ebh*(NwAg=8T}!i=eP!@Zfq66*wi}WaH2`AoiedKf24_T@%FKNLN3lC1wX%d=nep{Ecc#%eN)sLZ>lzX0 zN7n;tK-*I5Z;*qwi_PKLPOti)|6Xqyv`4^H*Q!aihx zCb*Au9%+P4xaui`+xx|jxxy^u&)@@s~6JzIGEv%MHiKnIRZ)V_CrTZ zgXt;~BLpcYf&gvw=b-N+98!msA7^(fl*SGF4P z&@LIPhY13BwyPBJqj@Mh@7O7t;?;Tw?y3i66x7=~7)$tU#%D&Ekz>lH@H&|sIL; z5h+$3Hek69G=Np zW6G-Q{)J}8Ta#iS9ykI^su;$E$E&Q93Y?OFW)$@n6;A%n0&C71A%yxo2P?ik-w}s$ z4eV$%r4*MfzAsr2isy&H|%GQ<*seszc;N}ZUQtlgZMj+5##_>Hbpm(u-Qc-NaTrp{!B}ulGZHu&(Kz~IKK6J7VH-3q!X|0M4zOu(1|#Lddsa8} zX2K-p0VC6{oj_!=1n%$AK}!!Kf$X+KCL5mK#&~`0R7|7IB}OA3 zLGlidpSODF;_D{^cFVYie1(?D6PB6ckrZ;LE#@VUPUJYRb+|ua>JT-VIkX-5K32pq zai5ONw>=9g8~-juXCR7#E4~#(W_C5kh>#ScS5(XcByO1)_xWa<>kpW~~2&xZ~Ci{Q^8iUn6tD2R+T{URs zVK*9Iz^F6EZ!W!p zy9bTSuti^MT8eC-lk}ft7PyfNlW4HXB5P1Y#2M5SXfl*(>Oha?Zp(>_slh}?F?(2m zmW2}{f?^VXx*47slZ)f1SP2p(a$#Vf8_LBl!xjFdi|PxK5Fl1@PVPS=PV&YY>t{|v zm-zWocv8V`oo}QaowAqgUz-B(3HfNSD=!<+amUE{VJ`mnfV!Wnw;}C;9Yps!sdbo<2gFC zW7UCijY$C492q)|T8ctQ@lTNp5keY7oy4;a-{2m{okl<|#V;siL35o~zL9tRRIpJ_ zgq>!b%SwC?`+xzWK0eu6Z}<~TTc$0-9f=~OZeKJbl;tbxS#Lh3814`)EAWj)9(!4r zSF=Z%I^OTIv^Ct>Og8`&I*GLop3nzwKdidqO=eYiWyB+b;E)hs?6`SF)4M&h{rv^u zu9p%p7|#aA3l&*Yzbf_C_8yE9;SGyOp(S-sMVpyoR}UgYjpz2*2E^6ljyEOBDLgln z?Nmn6v&~*W_+v@oIFTA0n;Y%ZQdGrOUpHuvE~-h_o7q3;(2DlOly$BA@(C(xK9-l@L7Z$!PShaQYFZ z)IoCJB&>xF&fK?@^n3cjh)tcv*4kSybKCbOeDC7+}{@VpY02ov=qhs{c#U?>83mjue)_#Y0pv0|03o}nH=&?%#HUbc-oP!L~(H=;d(#I0& z_sq+|P|E!HwSq4tMNe1bw-0DmL65Uj)l7~n&zTAru6<;->(yhZPLZ`02YGP36$l>1 zS$^eUS$`+1oI36z;O8nLZD>0a9sMssEirn*{VgRYA~voY>8l@Q=nL z?GO8a0sbf+Kv59dORmHPGS!r4{^bxfY2;{qTN{toYP2gZ5?3`hi3>m=8=?^>0`QHH zEK7%-$~uuF0rE1oAujFw3K5rlPzEmb)d!v$6?Y9FD~w;~KmuAQsqLMZs_Vlq5$xkF zmR|fa@nE<-#Ioq+NkIP!gtsY}FU!nM^3WKO8BM;k=#;&nLXPBJNuoWkEJ-XElC!Lz1W~wnkgpkQkNKJvja%-2oz=A zA=S}PAarw5gOKIEs$Na;C=NfJ)BE5YT+*t-oWg814I!UxrsC-r8L@|}Vf640j#6u^ zgK+IZ&%5%^S(8O-5Ypx{b2jQaOl;L{`)Z4@EKRv~T5rC{1z2bbSV@ku2kUZzw2)lq zl0X?G3M-C5C#gfuYK&G%aYl0_vDVE8A^U&<14V81N%zYF2UZtEo@XGjqZsrs#uQq^ zl-Uq%~zHzqv!|z*8$Pdc;&>2 z$tR7T^0H;XA%r?p#95=AqM%q5hAX3!4wapck+F-SfXefmG3WHw;a!G+5GUfKci3(l z%UF^mhw5uQl|L?wd3|ZQ#Fc-64J3qPpV~*c3${iY+0<#@u3Msp64I&|WsC-CV|s&n zJP~#8R>{PA8^N0^lknHQ*Z?X0Shl)q$tP!kL)hrUocFx5D#(Tm=Zx|NO=zJ{)%uf6 zk&*n-jJo}cF^R_3ijf_u1oy!=w^0oUW#>Q<@_I*+LAC5FQ;tF~C9<(jykC*{lmT1U zk#p-P06dPG6M>79G{u2v5Nz`4nHQ;YL~xz+jnTIwv1$1Y&gQPJeX=q@vs`fk~`+xz< ze&#=YsijgVN>=n_cQ?HXoI9~S#o5gW?HnWhfz0|A{b7nA)zE;2Tt8I?vm; zPQQme>M(CIGY|?Enp~sIuIB&oAhB1NOgobYT%6s)pCs}=*gtv~N!18E$6IO9GQx`B zN;#b|_WU@WneRn;-U{|s$o+L|qP`;cX-#RvIt65J0f%orSy7*Of6lirBX210ykb}y zW>&Tl`FOU03#`wg19e+Ex8tKfk`^C!X3bRkXc$$-RBCQMdc$3 zCp7O1Be3s-~{g)2k0MCZW<~T4AgMsb@q=#V5)z_xwSHxDI3Y z*pG-A39J%_@UR3T?b~Y+G=$(ZQlYKXc^P7(Xh&REbSVuI4cZq4jWN_$ohi|03uHyfC0M)z=MLRi{&#FkAE)&PO$Is!C+Y{eMt_|H#akT@`wnxMF#_pYw@YH{E946Q*Q&VDgX!If|0;EVwa7zS zT_EcRMjy-tzD6L?C1XZ%g`PS8Z7zCNO3ZBOZjjk~v=6YHf&$D5riYp~qf7iuJ-peQ zVxZzk%YQ@cjp&ZtTv0n9)e)j1*&*cF_7Wn^2D-ma>i$;`dF~z#egy zB}8HXBTF%bT!W_s_QU*Lq=h}1{UZ0&VvVxG^by}0+n}O@we=3xm&OIV)cQ}mJL2VV zXCqoDiz1HrZyk!CU*rA2C*)W7>A$Ot4Gyzp2pdeH_;?1XxSCOF4-@-<0o_vBx#!7j zRLj7sU4uliPDn_egJ~j`3yhErN4!&0D!?y_6^!SH{dM(}^c&52)he2?ID@YSfE9|) z7|~hu7c5Wbg>!{*Y`df-&AZr&r^`H_(fqqIva&Il4o8ap zeN8x@9M`6Kh~8HMnRmG>>X_fOoQUz6#X%dtA&zn>ee!d}IQb`(-*(L$_nuEH_#)$~ zu}KoGZk|v>DsX%THrl4G|9@Bz*^l>uPXj@HFqM=HOx;%S;aA;yB)MnCsIcs zDE49`%g{quxxnRF5d&z#&%QTw%gVze;<4jJ3US{Q9}S@+3Lg&~s`8LbRK(xl4GI6t z`Q_Ktu}2>*9*c zFv#`UR=W(jd?*n0lye9&YzezYn`y=_aiW4P*vwpe%1iiht-xIFO`u%@)GkNmNh*;9 z$Acq8RleQ`KU?BkO7LPQy}lKd`_Zr?c|^IYlp9(Qx?qSHTG+}<_ z+-pMWY}R-ku)z?z{Iji`&06d#l8hfJ&FaQB=a>iX%kCvaC1XvhP2oyf9u!5;J~_Y; zZA7DZ(%6nCjv#ssn!#Bivn_R^iAuN{#nWH84#fcrQ>~@aMuAoastXDP!|acGOMCE9 z7?wgheP-i=clopz#qy^=@BVznn^pJsC#p!X*SK}&K(L%dwYPpo4^wCi8spaGw2;?; zSx$;5;tPL{+O!C7OUSNop22HVD;DD+xvoL-k2>!{ZO{XYDw#mFbw{nT-|zRZw>xwL z{xIDf0`)WA!@ z3YI9TZA?(Vy>ktic^T_hRf`#!S5Cn@>>usatC1;^>sbONa29G}t;}>dw9Nxvx76|o z1@+QtMe#sr%QFr77+Du~YSCZTwOEk|a%HIPPs|lPr~L(xYzJE=z4}H? zFRh$3Z)>}1TWb%EWO2k=5#v?ug1ZRY20udvtKFjHFj|(?52YYR)KhTtm3-l%y2^#b z?bjbtrUl;p;fkw(qc7ihkyR$M7ZdVT|H65oS6S>Mte6P=t7o9sEmoaqr{b+_rILh3 zeqa%IMSSZ&?_C-Dl~ONd1ChQ7c4BdE1TWVd_-Eshf;FoU1zTZ3>~pYPct|bCkoHY5 zARYGE6H%od5Y3|?bAjIF6`MJ9OpS^Rm`4aUjHR<2V%1*90=6lZUob6TL4PkcY=)(F zV5XWFO(g^SfB`6sDcrpn9+GHhzefSJH--j+TTNF#MZuTRe}YgmfD#Q`6{mq5II9L6 zxztW`X@n6v)~xkR_pm)<#p0=xb|Ifb{?!V7VJ2|SmAqi+d2U-3=s)9bk}BYZk&r{2 zF9Ka@d*UK~_lfP>fBz3dW2jj)p39c{$*LUfx3X^-bRgo*O$NAQP5=U=-X5TtG8lmb zTB^(bB3h-{UoflsT>|y>oYChpDdRn*S6pHx5!$VHxj>W1P}G@D)4zZu;t?EBy;haM zm4%{V5Vjx~i#vtUw)N*fcv$q^QKCSuR3ODw6M3|Y)r9P#C5W&^?;VRYI-X|@wfQB2 zh%6*0(;swWWjpyU z04o;?Y&YZyY#ByLpZdTOb|041C9=HBWiS*7#zQhSIH`Y1DZ~o&%c7 zIeq=uXbXoy0ofJyxfLY?5c}84x1Y|UE**^pi{m9j1kZmfJ-PJ}4`bH=Y-H46?*D)B ziX11tv8R&b$ksU?n?wyv-nhc9E=s8J1g+X^APBWi> ze3)=b*Ve|!Z_J~=gq;2ZbC4DT)JaxD8oW$nj2P16rM#u+0zPJJaARkC_& z127%^OV0ovB?Z3lq3BY2pC=4E=PE8P`(RM6^xCR1(OE29Y06>+xjp_H9Vx81ji96YaBdZ)rKnM`R#b`nW?K^jXyY8xBxqm@oicV zlmEdVnMDau*i-%!LB6#W=(2oWM2I1Y)G)SvE4uzapn>Z(IFnsWnqnXlz%Ys_1pBM9 zyqD_W(l&zmc`DBIZ*mNsPqa=!+$tI>`+xzYGJ?E*YDa{=8AYW~&rfkOB_ z9KsyxTx5WH57$hr6H`0vx4fW^cwQ38@(IMfV*Low$ z7TMCuu*t$ui6aKbFWMzgXbKy|&u2Xw@gxZ^@1sWGhFmA9sl01fht+H`S8Em`2 zn{EbL8s40)gd*EW#oAehVRX{R7ZU7u8PVA~{L8;_@}mr6P-=BA`NO`hgB99JX$9bV zV<#pZ+kC>i`j7kt%TFcnYffYAMDNSC!&yCIY3dgHfB~Wf z8f*d*4aou;l;6DQt}+$2C#XajSDjkAVpHhl|E)H6q{iw!@5 zl>nO}!U84^6clAY!%b6XZvOmcTa(O%kiy82D(_BfbfkpGW4B4Oa2&l9Do_`>po#1E z^Wf{~MbKO<1!n;3&!`hvV6s%3^4YNN0M^l2ePC{ z?Gm05f{!uA5If?Mq7J|C$L^|AxF(p9s4vGi>kP|3j|DhTz8N8Rs)3n1$h+uYgsB&t zUt}N-D(D!BfwCR@Hfi0t~?D#Cr*0 zn_~hB4ZX@aSQ|}f`V&hiHWmAT0ZdTiKyjv+w9)y9A*S7{BjY@o)g2`l)fgepj`Y%9 z5jW>@;@|rSmwJo4gRPKk8DaG?i5m|WG3Pd3FM2EbBFzp@3l&kw#_b?5IcKBlfw=FS z04zL)xsG+`g4m8f4==FVUPa}USS2iz1b~|yGxp8J8aG^7_-8(>b0|Ml2W_*tmaMYw zmjp-+ONgAF#G|$1I)+>EiY;$caA!Kn;FY!AUM2qm8>h~Z38{zTlUKY1Z>tLQx=BI_{5zkCy!EX zB}1mzB_L*Ib>IrLJ}hV&B>`b1Bj8U|0hHXr5bKwxNHX|Ycc1h)p^O7>yHwUBFz@+R z?wPMBCXwS(YeKTvrFTV@?@yKgo~Ub#yrLSVA@ShNi`olOTOWi1Uw+{0J9b6^c&K|K z&awsrb6@wE3T%gpYtqO8+)BirShGx4Ng<#~N_E9yQv-yj=?I}j5&M7vkGJ~`S%024 z!?Ve9F^jM?HzfAsj5=fY#NFCFNQK!2+RSyqMB;tosez^=p#7*P*Bh?9Ox-r`HQ9dk zV`nZU;m`$Z)rh-;u*ONx=_#&y0P2<>bizmBaty`HCKvA@=3H_3#nkL-2|=(} z@?&s)QdYGjE+2f;@wZ8TVa&RZ);;3qYNjzAV&e^2`dU3a#=905)Ia6-^b$`0;h8cr znM_>ZN^1)bjhmrh3KQGFXpS5qGWj%^@l%a~NmsNI#nh6S@tCU-pz8^hM{oy>{u9(3 zY-3IJoRtva5|EPH3H2G7{*BGkq}Z@iU}SPRDPSBTCW1^?92kYT4$>jhrDfQ6 zyLvnc`ta4<7J`Bn`+xzNzhAjAD7mPjemB|lA4#QhWoc84s-N2lXvlrU2&yZevI7)u z#8fGqz@hlWUDW$wT#npCoSjU@n+j!0Y}hUw_+ZkYOz0ki`t41F1qMR|&9 zUFiXToPh`vG#5Y@OIx{!AG6I%EOEz2zGAKxY;a$|Q?>jU*3kouS6z^vRaV<)J3g|2 zT!%Z`hn8Yycj$JNlLh>eo`o(S zahKMy)YFZtXMzJglj=$aH_Fsjrm`ZJvTE@BjhnsKCXC@~PGC;O({?wopa!Mk3o2=Z zZ3r5h+_7Ml(N;N=u>!@n+RDV7q5nzW&*`EPTii+N{ns1&fB_0V=Ez~t$H6>#R=p^Y8#1kPv2p+Z`xwVreAx3rd6@46{LcK40oOPHix|L8 z*^_M8`XK>RKMAc{4;#1QX6u9y1Ch0b9*Rn}yGsth7cVT}UMZ{h_X9!Qgxy~}Y(J4D zu~!&c8#%o-P6{6ZjsSZn#YV4_rV>ISqA!IhJTPI?O&VY1zw^c~NwdPAt4&}5YjMmn z$QfPQAUM72M0>AkiQ0amW(1l8V>FgQrFtpIhrrn(J{|s5J@B6=tXhEi^5#RV&vUwQ z%7G>v_xd&s<`NHuJQf)CP=&CcmU<-#TO;92UZb+(YW++8I^6nu^4&n&1_=}Y_u#)` zWRB9&q+r5>uDQ#?y@Jkq*|4xW37I@^lmnB9otos(#{C9h8yC@8h_MWBPe|k0vdH(a zN5EnXF9iF50lfk&@BVFKy^8(Q7s*Q2HJAe zTV$ep8*3i++?|P=DqH%SAB`V|2QXygFS2d0RzkV&DUWNa6AM^FR`BIkmW`}NjX{R6 z3IPw|!iR7;XTT=XqtV>O)hofa70>2es2d)FiXeTYBn;k$2xu^}4{4F?OEuBIk5Ja0 zkIXrbVQaA-(l);ZFgnSEd;<}D(ZvCUYQYle(j9v%+wqI!xU|@W0x0+awhkQF zm)m!0`zW*%5L{BIpUOKI@Bp%pG-1OA85$P7a2k&o-E27B|96wbmLw>uipD=2f?I%s zN6;K94buWygQ*yDo~uJVCLSb)KpCuXTE4AqF5EtN}u2y?{h&Z~1 zOxCJLvztzItIQ9Z42F#GyCiUZ3LDC@lF>4H}94825!*jH_Tk=T< z6irX+@0G0+76x+KOM)Lhy0NZ(n0RHh?3(-XweKsWRB79X2Q>}=YpMbK)YTiB~S60y3`gR^3%&b5?$w~pP{{yVR0n`3o$Mg2c-y(<&BI9x?_P? zKqArwB}fF`zG*Rt&ebIIfr9J3pkZk$M1|Cx4(^%;BvhrqnoI(IdOKm5bcYx6OX!&! z!8#0JCbPB#03D$}?r^cSWjdi3!Xm>_lqL(4vl^^;9-e^&g;br~;A2p9?>;VS`pGYJ zHRvkHs4^&B|8D2rpJXhZXs6R@K`o&lW9kuHmuaE2*o9B<01OYE9X*YuL%jC zkKGiYwH-&qCqBEZ6aOdSQdS^D?(ymoq_^=}O1Y8a3h{~_cLL^=(U?%0Qs#;`Q_aDzuBb2meO2odeJyK7d#vq)b@GrbJJf?L zGmh;m8yG^{MS%duy~WhypTgcr@rocEswvM25=&?j?sI{358LNf=_D#vZwlD+L|fAP zw+2;ntY%ZWS$C6mz z6XqR0-kXb8`35=^{NP~(y09#>L4L}|V+)6iU?YbwA6gWzg3q?QqymcYZAgOh{nrFi z;hLpqIY0NzJZMi`dqa)y+LAEbHyJ3hpvPJ)$B6x?ROK#?yH<9@<*~^^w7YMDNW1^_ z7!}bHJDXafU$|=XDE?}#4r*@*L-Cg5tMN8yf2?UN`zee@_p2o1BTyQ5Nv8hbjRZu> zT8RM4d)N2p8Bxve>lNT#`zU>#YG5h@tQdw1muVB7*aO|319%%$qY2rOv<~}#0aGq4 zre~(@wKZ!%Vs-O{GrzPS_Y3GNKIdhv^ilNC2_J9fEq8$y-4;kPXNF51P+QnTGq3o@ z=>xz|o}110BdLS8D1T!*!b>nX42lX2j3Jv9;I$~aLY}6=aZPYCE4n;ZNrP;c-v{bx zQ(I!JM5~3Y)b9AObw4z01z$R{6*>Ap8yA}HWJ%^i2U0I9w7tg-tT;qAhPukGGy{p` z37(q-1~)@b;%qiAX2yKX%)yMuXHWV`erBOs*>4j&F#0^(lVL?~V9ag~DQ`P=ijg_7 zjaJ+^<7Z6@dYfVd6vG?IWip|n)&7b;i6iBW2n#OVin`i5YfGE{e(eoo1W!eZd>p$5efE&b1O)ql0np7#Z&=U)p$k>&bdOz_rY8H$Ly0@QsuX#Wn`o*N zBUcp!l;M3*iaYliu3X*jyr7&m$Rxbc|lU@KLR0>ITsKZX`o?ziF>L(mS4q}CJw6SO4U$9#K@amQKFJfEarC~DX_+*FX`-g zf%Li+4e_aprrnE)%a;f4^+Q#WsPwba4$|IrZcLbar&EPs6|ZKmzN_8dB}2FQG>&C* zF+ZlW*TC%Oi?SbfCZGhKA_{h%pUcKF! z6Bbrvg|O>u6A7#wsTGLPU=cQPqL-rDO$FthD8$@w*|ERe1RNkODf@r{P(Nf(g2QJ2 z4;cOnJhv>4k?!1JP3(291$#w5dO#`wac+*f4t>m(DH;^NM{l+~VfVFM{(LI1&%|9~ zH}ri9z{fQg`xje?Ip+HuW=b7PcH+1a3t~90l!1uR3FxH(cHI94J%;X%3ywgA0~F8| z#X`y$rzZ(J=4ff;ZG^=Sg!aAy7AqWnCD{I9mLURSPUp?nt`t0`lZ0KH=jp;H#^tw%r}WRsog8!{TMc3{ap4 za%H-vulsHfKQR-EBYf}megQ?tJDSF)LwH8Zrn=a7tkKmedX38@r>#u#LkNW(vW1?nBpjZQbTtF zjCy4zl+bAKPQRdjLynnv3=NkB$kh=K?H&p>QzeoYO2Z+EM2K~%5o3ec(~KtR31 z&u$OgG2#$hiE%jN+MF@i3QRrE69k15(0QbVKI~N^dxf2nx$7T0Ip}R1Aif{oJyj>5 z-ZOJC?b+v%Br7I9o&4AOy*LZGjiP5xVT*-nwy-b=%*dC)TdQ7OilR6GUnvtDfWRSYqFaK2hX0y6^q#QeS zmSrmBaBS1K0Y*LEI??OfRx7T_fNfB{(xV#!tve;nr_Q057L zz}NZLs(|LxjEY8X$PAp#cqjz_w%S^YSMqql4Pq^?I_m`aIbsoo!!*&y0QUbX! zb47*nk9~lb1u#gqlf%7kX3h;XD{PIzqF?R5@KRJL4aazxY{%Dy)eT^{yj4GIvgt#s zc}*BUIj~Lcc-iz7TQHntlAnrIMI#kJoD#7_IczP;z1!0=*mLBZ@o{J)Dp;m7E*Vfz zE*}?t+W?#EeN2>#Jj2%#zhrh?@9lri=_74VYh1aB?b4^_Qr*b%hU)nb9e>;FSBWg%u6be)1tq~+pkPxeh6@nb* z8xr=EsN-y--&kfK9Fy^>gIf^$SKy;@mI>b&w4cuPrHAZ%boy=IW7Cpws++D}0Zz-1 zOlHyM)++=1fC1A(TDNapRkk?%6c#;c3t5Xt?i%{tAKextC5x<}y zo6y}xS!1nRYc!oNL>>T0mccs&}WMtk(LsMJ7j(@Kv8gXc7B>0gxJTP#TCem_8J=#J;Otd~2Z^ z7~9K!V5wZ)g^UE!Eec-$I1KM170j^sK5&)8>C6T3cHV(Bqq6s*oovpdi`YMs%SwLt3YV|Xs9zqP`~&C6K!AX|`3EiPApfrTz0*0KuYApg2-nXc3 z9cIlZ*T6oP1K-dSC^V|OomY!^Eo(?AS6nfrM2R>nz>sL~Xx+FNeOf$%-WfR29mk%2 z3;TcpeVwTS;a`4B%*0`pU<}rlA7vv)joNXKh%e&;7!ZsgT$%_TzDiU;rGJh=IzC|f z*$F4Y{fur`w>aoalH3LrWj1QGP4*y_3tn1wd_vv<*fXE5_$IN8fbz);pfYVB6lHYh zck1S9t-btr`meq*Z^3vx-t{ik-$b4S1+7pPT|S+~maS|Ilt^^@_9bnv<0aGL^77o) zy%3U_*1xJCQS%bh67X`r)%*$aU|iY)UYJU;T~38QjWBATwfsN`WI78>x#(`!1n<=w zI*9{oJ02kyTym&AweHgNMnk~^rR)W~-tJ{Pp1$Q6H!<*8Bw|@4$6($Lp!ngbw{*{~`b3^phXtIk|S%eF6wN^s5~YO~u0wN?N1-7Xu(P2?Ejw$_KkZQLFku zjt>H5PbK&T46{qyTKIFUH0-DYAgvQ_Njfer&tVmqovq}B#jLFzihSm1bNI%pPYFjX z2m=BjeX=sNW=ioaU)};!I%8Tubfo+Rxb&ZX{2?7Q-yUfOAj68sMfKqf{e)gf-JFhH zY(uAeOs#J^Jib$w1)#A_*I$>?XX*BYy2yz2)JG?1FIPz%1Vh8BPQ;s?g(uO z10V zcJ^vbkmrG?A=MP|6SdZn10X>>DFIM3S@*_ZdMvg;1k);E<*zB%ShuE!m<7IxkeUM^ zUO3-HZ!(#Q_tK5u`g%fL>@HUE(`i6vsj1XZAThI(10cT#pKb`Rh0=4`k1E|Q{x8@! z;?vIMQy*Sh)e6rzvjGDjv~HZ_D!#f8#ga?Kt0;ZAnMd|H;0vNUZvU>KY10baN zg9K$vEs9WqSfre82Vh`?>pa9tL5dMrIFnbIc?bg_I3UNUej0O-n)D1fP;b<+diSXw zE}Rg2gUL14T&y=Q10a7WYOS$+dOW< z7~I_XOoI9VPd2ft3)U;(=fP*asO2qzelL9~0w755F~Wj}$lc++eNB8GYHh&g%h=9} z_OJuqQYa|OsjC7YWs*Q4nx_jqyp1dH0ZPu10b-R(@%cb zJ~Qb9Www=JedFu=UUDsg&yHB_Vo5+BK$Qa^A&jO%$?0%c>ri9hN!d#VAU$i0>MaBO zoX^asJ9c}d10WYuI}c{Ua;q7Z+LM~1?s{CsW^1x2L2anFu(*`jcdP>-Zt}@W@p7=! z2j`MipX@hWcS&O)0LLKCJvo#J>#_dn=p}@* zmK%vlXCMP0rB|8450o1behH+SbX2^w*Iy;YbWtJ7-f5-HoRYDBUH{43?cINRI}g^o3YG z&a%!T10Yp~l|)~bRBNF;_+i#4U1|9YM=TqIHo~HtxOgNDEeZnxAkYu+MAj=+1yN>; zKd~<&o3H?8o5_!qvj2d9EET;crU42dQ0awBEKm$v47U@t&MHlYV0&=Y}>YN+qP{d z4H~m?8mEnO_kXxg`?fnf^L?XpW=_w#)I1Fuj1Qug4{~6{)*9KvRF%6qiAh0@LOuj= z)4)~3`n5x1C=$Q1ofCSI?oIky3VPIL9ZujQOftC~0(jbVxY`#odqoQMP9gDF zqW)b4D@l%Y7~RHrWhG(ynMv=nF(*-xz&bqy!VqTYel=tB3QR0NFJ=w9OLr03;Vaqt zIb}|xDbO?y3*?yP5sz_UJkGM}>pBYfi7K+gzQCaIy4wRCODaC6zT|U3dVg)^LG8rN zq{BlY>9=#-SJ8}KV^h9*c1>$z!VRD!PXk8-W*TJ#Z-u$iat~8|@!1A3IVDSYaPwPH zex2wI?UCt#c(-~+iy6i}Osbp%VJix5O5WGH=F34qy0s018uic`2?YV18Tr=Q8}Mp( zwZM6*8dY``v?{<>!3}OU?(hEI@HPR$*){o1ePNUhPU7bVmq`&FBqMl}JKfgmh1-0u zx4qT`Jp?eF`VBpiXVCPo$MDyiU>%*J>OakT=&y*R;9G+Hj^aQF;5nwI9FxZT$rU&$ z;Hl#lP|;h8H1hFgEmf;d1Mee+4noKwd7O{R1iMSM42)xAiOu?A*#t2bT!~RUqC+Yd zJre{_LA1XavJe~JoUH=rZOkt<_^;aBOI4h(5R4>VJ`xfnsjP*Fn?n8J%n8^}WJ@tN zj{^b)jtNgPd{d@}S}K&ziRk0=U0ScPnGs2{rH)2T)njwd=u9 zYa>6hfhA@>fG~tJ2g$+cW~PS*T5ad$+xNThco|txS74PmR5$T;b$Ktpa}?zL4HUB# zj@OToh7oU@AKp6V^$tLQ^uWCobg@A(GwtCKq9qqq7 z6ib5(CMany5(fd4u|QByy8qW@L$|=!>7WffRaIkH_TQ-4oIc-Xe%XtH0IqK?e7a6| zMHBtL;z8p$;!1yeJssZFSxBZ-ND5Qniv^(!=1FvRxr29=F{;2OG)Ml)va)AEsa2-V zt;+#R3o|$fJQ_$z|H1gF%&7_wMaDsEqGrJ&t2dxj%kcevS>>Zrx&{pZ3{_zzoA7?A zt^k;ZUP6r)X>)X#ln2+NWF+L(YWXpj1Atd#r08hiYlWKiz*8Ng%d~=&t5HvlF2!aZ z=@6;loe%&J+O@A@rH&3nD$)~Qcu$)n-x_Vy%yg%kkn0X0CQk*xFLE&Ier2}M;p7(S4-TXBpX`y43L zJrF|yKoy|mJEwCe`Vk!&5ga9DVk6ZFuxRjZ7@iBe@ zJTr#NUzdr!H2fBF$n^)*Rs*E~;BMhGg;a_0J-+;~hf9KKDHNnInPUurY{a(HHfc>9 zGXO|h^}$4lKqB2l!0_&Ghw&|fS~pUAUQ7*Arca}&a19p#?63{Hk7UwWeyv`rcWC5> z@x!YVfX0RRZT&%THb{C;2LPgZ)h>saF*EwF6ykv%5K7{yn3ZrUyf#r3t_OFnPm2Hm zyPOYS&Gx>3&`3>A7AETns^ya~QwOaNp9Iui?#0$50)XAOjkP!B^QO2g5h)%bUl{^e zR!F#&dxGi9gKiuOsUXV*HqVWh#Yz#ln*UBAeU29QM_pf=D88_xoKfB+z4$53)NwjCF}<}<t-yA!21 z1W%4)^`8V5U(`GRkZ*tpo{PVO=OlP~SNd|p{|XxE?c=IfzA10l3=`)VB&n@M1h^h6 zLnL&3kI=t`>@n*KMw;x-@&GFlq(V*G&lCXA)Ux-yEWGa4Z~dU;RINEFG=MG*K~jWX zPJOr6q*Xo(093yYhs%Lhnlren5l1gem(32gf*-#yLMXp*5@)$tsssQpV$VWJL_OWc zkK{0UDBLB2;{>B><8rma@m^km%n2Z!{w)VnWhsfaF)a)RkBnpVT+_t9g+Wo~IZlEb8u;hvM*dR04OnQ`FJRZ1OEITR71A5dtR09L-Q|Lq<{LiwPq)z zL^c3;Xdovcc(8_m7Zf&!34o?XK>emx!c>&6-e`8T_;VAK4T%VS$?PdLW!@cPe62Qa z_bxx8Pd7y0JO24B9*Pm81L@R=nqE*9c47}q%H=_`#d+*%R*x=L^duS7y9vEX2lZ@$ z_lU2Mco?9TvcfZRjO6BU#?XWX5=2nLzTi3P?COgq1Fu?gy7GwkQz*n7UTV zw|rold6^9$Rz3+AtS4?eZwV$*=Q88Xrv7b`xQKv!0FtH7tBuYh0e}f4h|xbvR}97| zIo*vDeFedSljD8zjYV6uc$_`7=Xe+Z=#2c&*LKT;a0(nN@gi;vhy=r~>T#LiV0ztX;ZvRpyN@9=TyOu&Qo$6&hN`~b^8_|#3gs$q_l|S=IEtm! z29igD*1R;|V2AUn$N)gCX(T?x-vwGgv#%~n|JHYcvvD2yWv&Joh8&3F{B)4kc@`dD zva0i+t-WG7!l*k28&I;hr;Cjje`SB5;X+VCgDm$#nxKXZ*DLkOQ$iX;&8{PL{8>}Y zg$DyJlGi>V1LFRPXwg63pnax=8QE2rv}2S0cC#e|nr*TCs6Vhqf*LshAeCeFSy~2f zJv3XTdvtY@WwX)6Pjm&?5%pWMO$V_9kauvk*fn@$HH*dE320wp61SVvobqyH`KA5K z>oI@)ffEcA#ngaRF!{`J0vYa%{TydcxH!wV_u#od<_Xo6me>qa0YD}X9`#66c{|ns z{T2zkHr8}Ed~x-s^cF$SatFg)%}9{tz9XPug$(^McGH?oAZ_@)2k`r{l96EiJz)vu z9l-~(OUKX)eKAQPSzz}PUsd5gtCkS6;3JcU=5vZT59d2_F#y>6Cw>god8*tA3orq# z3FOi*x*ik-?hhziBcMg$c7gQ46UYI-Rw3Zyz|j{f3S+!WN3$ z{1Kpk>sRq`zyj|S8yg7g+ggWLTUX!5{eFj|UwJKM@5o2)tXQ*t^MiPLE$`+8#Y)U= z5#3rr$;NX|f}dN4nww5m6zGyf8!ykLs9O-q?^pmJ;r=ucA=4gcM&gyQA>4^@{iUN) z8GjlXy?j-G%S|`~0Oa^-!INJ}R2Nt1)c4){eNz7xM&s&nTt#F9pNEF|lO6ypS|}5y zYHU}}6se0tuA4&iykXzc(j=A3rp(vMBN74Olqk`EFFV|>IJeOOtt+ZgLJMoNJXz=V zId*+TjkA@#1OVjamW9SaN)^GBVT|~D`5_ZCoit0aP0)$?6nAeZ8 z9x5Jh#(p^M_P^f%3(ry3Wk+iW5dlEW%y8wR(L-FoHZ}Lc&l?m2Knee4P5F^H2d3W^ zT3RLmsQo*IfymEf;zwB6yUjySD`)z*;f_RxnL(3(p@Z2Y^#EWq@Q~`pnUAdq`xm#) zeSqfC>Ge$7;bTQ5$#0EL$JS_&90U@wa*!5iKMse0Tg2_fGT8EiNR7Y{7F1Tm(Ykn-O;;{N)Z7=YW^jC_vlUgzfLj!aDtkxvC-Re-+Z;PReDLv+`{RLIT(evXnT znYUwZRid?JK;V)g{Tv?vBoSX_ImsXC2mnpNTkXkJo$4u68R>!9QAS!LYp}F~qQ_3V z`J0_k{{}ms3f2eHu3>Shf&}5kX;DG?R&L-mCkR27sGB~x^j5pc{4?-fyl03~y@1iV z2s`6gRIWSeZt#2na7jj;_6A-l9o2nJj2Byi0);Aobm*A;xPrdok;@;09006t6yaD} zu56J`B=;lLLtUuFNzt+&9YrnA5Py;9_z8+p!3Ajt*upQK3W;Vt+TZ(cXCLaQ`n&w5 z@@9JdCi3QRKz=>yv(yY`PE{f7%-{b5;V_zh!2|i71PTxH@ry~@ssI4&w>aC+m3urT zK9F(ZN8>I(H&YhGJQ`3PT$h!Xr?3He%L~oiy?;#1JMwJvbgd8bz3HF5xa1XcsVUKuzHk&3_;ySs6pt&WQ%*5dv z56T?PYb785S%(Le)RXxCfjj)|i3#U%PLk$ANl30*9g7L-#>|Dr*K0$=`lJAIdBvn; zwi`mD2}ld4C@k2x**S&ULD_g5B@OND*NDq~G2G818*38cQSz&QTi4SL!tMp{=QALz zI}3H*N30xKd6RJPFb2J{0ru02AQdME{!Xz76_IN-0)UNz_vb|69PzVZ4QGDR-EUN) z)zyEZ$_y!(!5Ae}RY05r8dUd$TqgTIM;CAQgSfs%;;Ao$o3 z&i5VHBQfkwY1`S$OADu<(HX%b&CW6v1wXN$Aj|b=vr-6yxg<_)EW?NOW#y@2e-MH$ zHl0L+fnnC{i~JWW`w50-jal1vlkTylCL8QdgmmgT6%QtDPTY?eKL6wG-Xrth?i~I0 zrUS6IZ5=NHWVP6YtU@S>Igcx0lNekOUz}fM+Hy-ZlIFb zw$94#gSuo0B)(a`xHhBeUhuZ72vt|^!~~}Non^gSzhg5MpbA0E)=`(pizbaZCAy95 z;gs+v;}3quR=T-z7q?)KGz_Do1_0qUm}%dM21bxrNfhHlk+m`>>8dg-&2*MRRg}!q zrZE9Pu8UyqoRy|p5!ls34Km|{1Pqj3j_H~83PdKc44*!bq(jT9dv^bX{Ln&X?AX8`4v z{MLfMqBUUg+eDF)F&{UDjIoziZNfu;`?PF6PG6IQ{%!qHd^0dUkFtPtq{7;Lq7~>E ze2-*rTaQs7%jWmZl@S1Re+ca7{X4B5nP|rN4%bcEBPr3;W9>HBzBUx+>AM1|J-pu1 zY)OouTJZrzk_cRv7psal3j5a__`KKAZ_Xy7Ago77O;o>Ci;`T-#->4JMi}5C$ zUVZ1U2FjpN+JiC!IWsQ#`4h|0r6(#{9TgX=-BTnMGctu5%-3uo{yR)iBy2O5%$4?1 z%yXJT#BRzHTtNCo@e#5iS3q9lp52t@nGV7j4VVTOjc(DNoEXJ z?w^G&5;J1D_oJWGL#E7U^Q1ystDr1cyFpM^^3)F=o<-0rChwI+F>FVjLL>;H@>i6N z%c&x$uB^uratZ6R)lm_^lBz?^4K_^{M5IZ!_~b0x^f{Z;A^`o0;qJftmYZ)^iv!*0 z&xe(27|K+XT-M$k-+Ou7JA^BvP?8jELa6r)%qQV?J-MAV5yT6Mp>tyP` z`qk)HFW+IN^SX#ce^h5sW)NDSo0du?=elzN!!&#n8gou?bf6@)Y44iy0c(rE3G%ow z-~5*E(!Ax)Ts3WBR{duy=Z2BA>_6B(R!E#h3U(R*z{kVK@K-U&b)cp=J1~lCA__H6 zXmL7P!E#mgySEN8NRCX#S!L1XBJ>_qYUYL2U@N(wG)KtdFvi8a?H8;1a!jBq>Afy5 zk;1IWz#a#ceFLVxv2zfdIT_y7e?1UNfov)s9{36Cd2~0!emylZ_9Z%X;=}5Fgxm}n z$oA{vX>N*aKM@{?b(K8fBDj4o1n~+9{PhTtt@u@5Qf*z=?uI)2-2)K@9tf>8ZD`@h zXS|&OkO?KqFnj1;GQy-LR1@Zwf1v zuXlUU^$VFUkJ!+>)2WnE3XQ#BH2&1W135ML(?#~k2dRCcI?2~Jvz7YFxkxlATvW1G zD@)L`tKfmo%h4$)1_YG-q$I)p(}yYqx<#2d2?F#Ad~5dZ@9t&rz$!lma;*m~|L^qe ze`gck@2V>`@lu2#{U1z6gG&x-A>ko_e+ZiCI&Of&Wj`z4+zu6?EqCK+3tq@mo@;22 ziR&Cnf#f`?cl~Bn4>^?REij1A3%cc$zdEzE9Ce73?y%n7z=7}H`RMIesA)2zs1~Sl z^Fo4FICg^fq2)WDe(^UhRt?~Yz(vjK&pyevc_NMk%N&Q1GckxEuS#08EoF`w9&f39 zP`8JOFxJd0RVuXGCr17sUDmCRu60S{&TfN=)r}ze&Mb&?VZAsI%L#gK_E!!%++Md4 zoJtSTdyXqNj1xnE3%dkRY?#=H+Uoh)nK$ssT;u8y?ktQH1`uG{0MEfCN|HwYkCi(C z1S1}Aj%s)H41>WJ*gXiMI|Q0$Ds`HQ(|j&gMz+@)5^w2+t@zodr@UJ z9kiIgKDwabMfb* zj7fXcbXNxlg$wwnnRGM!!G%m-i5j9e@E*jZy9wG?^q97Ylf23 z9-N)U@0MST3_6x9=*qL4Ncdetlw0p3%*@JnoU&)8uc7UB3tNx&5|R?c`TN0ee|= zHiUq0{Eab-q+xN-jVGRq{I7_CK>(o77#YL#9`(;}d=qedO@WR6g?IhjONvk$D(iQX zI8gwQW&FRSlaokmN;bZ5ey>*PtW;d!nazYRTJSaFW_lrlYCcA(q+695j=3Is;quV( zk<-*5W9JVUZ!vfay}(zneGrDqP9)(3GyZ-G`2X;I>6Gq7fpkACF>Px!J{4^>AQei7 z0^&Fd@Vv#_-N50LNX6Q%I&I}Z)pdX9HVxoGK!Sn)Dun_f)4FU#h@d*7!uq}sa*J_HKkid@h^KFMUx~CIM?(RN zS=brDe|544Mf;m;Z_&yo2BIXrO?Vds$ehPOnV-K00fEw4kF6uHC&7 zsXwC%|G56RLQn6A;zXj!Jbqxp6$!o+8)1+j0#ojrVx#7G>d%E#Ok}a%pwQUHqjngc z#{*k@1X8pP%YpQN%3Bx13}cB~T{F|@mfyUWa$9k88CEaX8Z5fT4uIg0KtUqKNA3LB zkaqw40J7qYHOhZF`hmgQuzpV^mSJE&U_m+C()#04`4~J))(Lz8oGU!Xzros#%zLHS z1|Pvl96&7qIG+~@cM+}h9rBWLhtKj)Qe|XpQDH^q@82$23;-N>P!1c$dNA2-5%~9L zv35G13C?qOdQSS2Yw?|yeEn})4s{&}hQq1@^;ZRN;}Rp??ll(Q4ZhO}qBJ)Dvmlz@dz3TveovcH031_M9yAUrguV;fOVDiDo26lVzaaCm-) zN?6s_l)W~s9~6;9ImKgr8dH(6ca)GPZbodCiSoSxUQXIQixc&CY#VespC~rPO)HFA9`ugohQOCY4m!B_>p=~Ft0 zFDAC$`|W#OGNd4MTAs~kcGPdjordFtiainQ^JIK!-d105?;LS`;^WdH_Q^ot^?K1G zoY8KNxaq)DDeP+JQ;TH@rqtvSw_=AlA9?9+TaRm| zc3sh~pCXj4^^7-Y_#Ys6UWoS6-?@RaZvA69Wkt%%FzcnuBoFO(aa7>v#3K`fLaslan zGpd9tr2=KhPgl*&lh_v5M&K4l#PQmNmKu_r^t!fN@1HQ%_IgFY}d^s1WgSXVzFMitOF8WkHs`F=Hs<8&?iku3Y^QkR|VLtnS%^T-Zn~9worK;z%u3{o07a9#ui_9fsuQk8% zv((K-KI{bf(Ve)0N;b4~;iuFL$4Jr+f?e%=AWF-Nm>oPH>tU&Mif`_$h*KjyxP4@K;_~H**g1%b|I()2b;#8zJj)H`JZ1r|{n1-f-IOnBp04KF|eERiUIFgNh;!3&d zw`zGm4%e2yT|!Og4WZC~m=QoU;WNf8Py2MXs;oNQFHPFY1nt}8H6$wJaB*QmuEEa6 z5f^`Z3|K7YGw@I@tHu1BY)L4&&*X~!`>>iLvv+@q>M~bGu5R0Ja^kTOfFNfHLBeE| znbk49Z+iYWYwb>uO5m;Io~lYsC#`u`4GIy%vC$m0lC2Knp|Oy~_KDSoHpvcKf-D~C zP5wI+`w`PcXnVGVF*7wKJo2;N!jMC~Sg=OUX@%8E0WqQ&O(9`fj42kUxza?$UV@`iC zfAP`FDHg?|{!{6Bxb@2*JB0FG8~Z$Z=bbp;IP;$zkXlbK zdTf(G-^e-cRh8#=s%q2t88xwo^aoY06b6KsOj6gF7JMXPEHZ?F#@j6pE?32-3;nhccaB6uwK`29w9fAKH< zHx`gK>Uvvg++KN3TIQX*ma=i|8iEy{0A-A)pODQBRlVq`?GDx!eDP#_zJ3TJ2bfF7 z2B&?3rd`BR)?SuC>hEb``?geBVpq_=_ANp(GA7V79`*HHIpN|DxZ2-rJyxqb98T-K z+RskcCCCNm=Rcku=3rktOtIuff@M83LWeZ^&Ncu(FfjLYL&*S4%Tg!Q5UlW;l^&sQ zho2kq2oX{X@vB+zjtl%bp46#s@V;j$dkUOWl;#5_ZaIpJU^MP+#sPcr>WbsSRhM0O_p*i zmdwOUC@6Qkismw)n96|%5tG-QNBMPu*`Ts0mtP(=Qx^3#E)(g$=vBbEnH~$w{h%N? zi`j&fZ2j2G)!R@Q7F^Y8Sg;z(JC!U;+ta*1)gliP<)((VS#_^0gMFqD3}>^Y62wxW zeqGiUYP%bh>A>P49VNt9AnuPvV~g5tSqU7${9<59$a?O({ zf_SjMqKgKYqdn;Q{1C!>W646c5!sMnDec=I!-+2AyhpB#Nfd=yRfaCBAt)x(gbBoU z*+P7C$fL^cxO;v#4Pa{nhEI zF7)&fFr#*_2Y^tt3ZGa{dr{n`i5o>U1=YZDZFd5eITSzGn7vrq*U=#V9)ksI7Vu&2 ze((;8-v2nKaFgKZK}V|qy4nR5zmnR#ndYn)$(+K64yfP4ZeQhH_mm~qfZv}vo6XF| zaFZ;JUN=CC|AW_z6eBK9E}p`gYz3PZfh6-S+}Ac;`*92j$ z=+Fb+)sbhV@QH-T!aais>%J%hqKgyp=rJvh5C1t<*{>Kb$P$m;q>R^nWZ$q7B6u*o z3)xt{ktH~D)!8KoFLpcQ4w+>|Oh%TB&`L2!qQzEV^9!mM!$}KvbUVc`$u!;|aU`OZ z>Mg?$vnYfSWvYJWVQ)(EJr@p|}c3*k{##5PS3|?%bx;d&<)76+c#)Qmd#`aR$7HY9N z9-hJn3gVU@@~PM&Q;qNUzSc2R_;NV0x39*iU$yJ0TWAU_6s89vn96Thi-!(B;?+My z+K2y!>pX}+TC&`I)L50w-K&RSXoSH9Bo)Xp-s6w(?bAoMWnD+m$x<|f6^4tHr&6+S zo``WhAg&QtFN33hZqNb7GtzN)8}bn{z}HLoxhRg+TFjy zzG(}I_UnT(pBPU3jC$NAulzl^P7Ops(DwYMM;|t%kTa?{k`DpJ9-gRF~_Pr^d3{E7RPu= zQlq;dl=D1Ju3-8%#wz`npFCI+Um-EZ_!@x27f)S3JjcX)iZEm*gCU)bYMFn@@rt31 zh3%hQsH7Ri47%5vNK+A+BA&Jn#Ihd=|A=4U6Zp!$;|>}>(7-8n^#0v7gDXq#Ukp+$ zy%oDQ#WcKA4hnZf$KJd9pnd9`+L|}|nr&;f0=swB?@^z@usLAeJ zm+6$)e>-i1bRW^sq4;%CVzKqBBhce)Ebj6-${;#AoodIv{1gd){IOq|briyRsU42O z_@ncl)7y|iWgWthk(zoSdib%7_@;C0_NcWl2`Amk>B?FEU&*8JSMhHiLaN4Yq&UFH z`>4e7RbN4`-U{rp;iR&~Mu}p8ILnp4I`)nr*)PRrNhJ|yaFM=aNKz96_2N-G>DJ|3 z%&3K)enw#l$JGl<7p5ZtDl1K|lY&OYd7Sl!Ie9LPI+zGa+ubUq|bRilIVzYc=ie)oi3B>ok`TFl-T0{IsrqY0(Ad zMH3YvjJgosyuCMG62WZ2^IbbTK1eYtrsf364<89Y$k%Wg01^mKhfDMu#E7AaZZmpcaPh>eKKWuuI7ewQf2@i=%+ry!PFyfS(q1_Stf+(>1d&Ts9-}8+SsuV zZt=%2~GQ$VzQBwt%i0wFtXFnJf zg{4D%p%t*!T?%<(=bGQEwfP@aoQBoSF{|ni*l6M0Gqpvv{CAQD2Ji;&e`h_Pw4IKLT-)_$PBZ*C#f`1zXo9~sjG?|TEH>iemh`Asb9 zx0x9nW9(J8OU3r4t8Drx@qoj#Am~zXjtP3GPBsymnLJtRflW$#&3LSEIEPXY7Kd!el_OLH1D_9Ys^0bS%D z>-SiW0X3r8*U&J-2v8KAEEk*UA-q00HD`~QsH0A=E)LG?+4azvgZ%y7jro|o>WY`v zp5Mx_kse&}d5zGn!uJ_P`skUUmc+v~HtK_X>0hOGGAmlT*z{A4uvY zwb@CQ1lO5>BskWnOq$C5^t&MPoXv5ZpQbJ?ks&6+ydd2@A~clJX$d>HiW^|Cxk-6! zmzi~!lps>32{cEBCaT&W8{ejS=||$~kzq?(;vMFh%(CdVf8UxmbC%7=TFd`)IJ>{9 z&cBi2W%QLW1Dels;DJ=rcn)1w0drobK=e`DY?R2Uqk4WGLFP3{D(B!5*$eSdeyN@> z>jkR^haX+!${6VZ@I~+p3XC8Prs~7?o$|7zC^h2_+&!hxYz;tcv?kdv_Lpy9iRzg) zoi*qaUy380V=|vjy2M)1(y~eqE9Yfy&{?PO7#a6LPS+7BCouTY(Xr80<->ho+!xO& zTodaQ9lsvR!KKaVP26G7!D8l-?+SXCEjv1s-pa`Kd2V^b=IxIyd=~5I63|qFAqJXP zoHIvgs}AJiDu>U=;rMj6Lq885i9nB|^_I_V{FT=trLCz!6xz3fOr9IrdG}U@gvWXB z^|cRCZT-jO_^2+WkmNb+{TVnz45iiHT_=VrCcUzyNcQ9znemiNm^0J+11Y$* z=zv9};TY{&Dzt(?h>;Dt=pkDpsHJV2X-*=5fD&RMiveb5e3jNI8?K7Yy!(Sq@QOzr z^6C3als@t2Lp)ELu#Orb8jxm8^+03*+Jdne>PmMBhJSU17U}1Hh-MLWZOF8q=03^L zndILk6lZ#d-m055Ko)90D_gNe>p~h!tGh%h*LUUM)=)H3#;}xSNLup&JXreM)Rl~l z=wqdXW!s3Q{`f56Rl5sUaAyw^RiH!f;bl`~Texm}f+fCJdJj(9ww0fnxS~@uVMhT1 zeVtJWTqqNDMB`jOZ@5~OTHkVybO)8@SUQ*%qpzZ_L1nDxuA>gC0vRN}bkfmM9MU_5 z)79xHEk%tOR3=oiNRkbC7xBdrN7cOL&hr-0Yay;Nl76k%Vi^uI=%qLbfB zx|x|r#n;OcfGr>1H`OZk)t||XF!NkN3FGFmT{u;3@%=%ED!t067An0S5*S!`!Kg>n zu!A^#`rEU31@=!j&Spma5-)#Ii_sdV+K~`Xo-^q$u;7HDj^HSU3!K~nD;i6_TyQ+R z3h07RDV0j>)0ZGvfzJg!0Y9O92m@C}acn<#sE)OW zxW%f$seMZ^kLknMCM{;v+0@JyLj(TiF*aLU8;R$R*P@# zym=7gLP$c1n4}A~Ldv|{*|aXNgG$Rj>X*(U-p7{TamS^&r4d8SaQq&h^BHvo|-L zTB7CJEo0`0leL@3F&Pn}O7siJDnz!gC9G#P+lVfIW`gUPlR%u{{mErk=SHe`vkJ}B zFnk{~%;tv5>zYBMWrgU7krpEfi#*tQ@4nF!4Wh3$8egvzo7R(H6^4v^p<|Ie@wt)x zCL4VVuTK z)J)zbm}5F`8m{O$6bM`c?}V8vq&yzTSbk)S=j4P=T$yMJE@V4RPfN1V6Xg@rWBRzIN$ zz0}h#(ZA#J2@4S&OuVsa6qqjhu#=yTw67W99);pKbI6oEu z`saUI|G1*AjX;2VdyOL~1-oM^q?7g(p-A@Z%F-rYJDF@jboQybf6$ZEJWpUjHm0_> z^g+m=lKcTjTR2Mc&5s2=pWNEBAnU$sD%DSv;;V6ZLCWQ7r_~#)_&Odz^mmPe-OwRq z^6E`0-nRk~g@xYca84O(*&cU%OW<9#cv7LHnlI7ZGX*U|Q9KdmI+~q2wRRz{utLSW zBvbdP7dI#mx5|JojDoK#ynqi()KZKqgi7H<;Ba*h9hT);V#SQ$^qV9X1lo`MZEt8K zo*hnIt2VOW9iUvshZY}}^f?!0ghncVzOYx7`}6=f?cB-I*J9(WBvMN>S)sRUfM1}f z487{frpl}ksl5$@iX#TIkP;r`A!45{Ba2~6>0ePti%MHKGs2PPrtiGOR?IVkZkfKX z&S-@EG{M(@QveUe9qU4HED3Rw8ny;7bLTYO;y%WsV~9&;qRWa)>2zxJ%nk zM@t*n4L0jnXn%6Vh`h|BzW#+#jz9W1LMRi;okoBi%Ieay427VM*u=ciZ;aMb&$)k{ zEPmIh%y&-S8~yG+$T2JeFshc@aG5mDd!f;H=zQ_+JbVe(Q=e5`%kVp&X1YSBoJBr( zqQldk_X;uSKP`i^+^Y(f34N|6`GSB|Pq@qg&^;;k)TGEE#`MuNSsYj@F(f2#V=u!t zY^l4iKfK!!aOEf>%$b_F1g%|vS=vqqP~;soz(8E-^|WtAf2G1&gE-ofpsg1H9@lW$0_^W*={AG1Rey~;#mTgLi=%Kg)J+`t7aKo& zD?9&gn>_zl$~2-VlR!1A&KKBuUljEaQ}$0|N?6fHxI)~ws`QwzJvO=9_wOS50{@6CsHfiRwF=@uwukQWqG#f zA;Z?B%yuF4;p1|BZf*W#TRgl8+zjTUtdQ_jouk2w3qDj4`Z1QmKq6ZuDjkNAo^-h{ zdu>KKrIkZ15Fj?M9Tr^HhL4;*Lwsvx>M7Ise*2e>OpRR@w^Tf7vzS>pgCfCDu|uq4 z0*ceBPy09sQyz-bK=b1!4SbbP1MLgijO~G>PidmdmR1oerBO1aZGTfdHz&h@0Y7s2 zC`u_N37ktP9Epc(k70n>rOc+oU1JQd(V|Hv1N`ExgnpnZ6UYE2B1$QEjC^6C9b63F zT=9Sr(v}YPp1*OcV_Dp-XE1Ga$?Zm_0GmaSDF0pzc#~$0n*xX>)WGhCV&9%{phmd;#93mVMN)mOMWjGAvV0kEPGN&0tgmtG{ z3IRc*Jh`_EU3yF9LL+>)1dfT0byNgS^*N2JQe&=>q!=PT-3B=?Jg8>JSpF+~e9S_r z!=-9-&)$KE63L%f#XSVb%f~BxIMqN8cF&GYLIr_s01+6VPq;)GGJKAhlQ zXovWIKH}6Hb3*_W7MGP2mYor67Y1)5{eOQOZLYyptN-IJ7{C;121^_A2Lo3=;C_ve zicllaG6d94F(I*duI-&#lLfD$A|HNuir-OCYqclG{EW?xkXtox?H&Yw0~FZMeG;2@ zCKnxG-;lc9i_zR=5C@osM~9Y&6+3RSX_>Kb`ckNBsw$E|ku>!;tE^YT{9;=xTj+{D&L>|(#-75qG)v0(qDGX#hV92doz!It~7 z;4W&bD@3r#P&W!WJ*+6HN2f=DQ=p{J+_&|Sd)?x#@9Ig=rb~?AWipmpuM8kp^L4%9 zQoxb?2-=))l{3A&uyNO6Kr$pN7wH$Tc9;16eg9L2Je+ar*WP40=;>UR=dE=jH=)3tF}@iO(Y+U;#RP@_bjoAwy%d~OB)O@eJt9VC zXU{KS3)(qjoVJbj@CK*Ylf|67!FxP0#Ss4}1^CjJdW z=qm@4C*9(qFK-?8&O@myja0Tq${`4?#*VZ=`?j;H%v$8j8KG+BwYdfZEO&PP)HEFU zcZ$Z@`2?%2$OPQUvS4csOh!ii*h-mn+Tq(I8qQZ@d_nuRYl?ToDc|nHJ|+6MXe^h_ zjD1e(1Xyx4fQDM&AIg(kUeN6sfiZbFZE+)>y5Ge6`W}PuzuTQl^^-<-k-~KII2Yd| zV#M+7{jlm~CN@V@Yt^o(UnIf4bd;*h@V3Nu)VSxpCss0Y@niQ!G@pr2L0*btsFLei z$E3mh5CfLwExMDNxLppl8S}cl?C21|Ny`FWd{jWcr2Ti>v2W8p9c(MntRbI(g){52 z2W}xJ6Otxa92|skn(0{NNriK=;q+s{*V^PfxIQ9Fgk?y(QFJP`dGe;y@&clnaJhzZ zoqeL7ZVMi9<$}qZQ~(5(LU9j#ln5N50tU@`VMpkX6k7o0LP%5Fm~&Qgi<|1nqNX&F z^8$6iPsP4u`KvxKixIju7|F+-p`yCd_dq@8NN*g}Kwq3vv1m2HBjv$VD5~x zC*Y~{?1J-n4QaA=na)O!HC(?sleDTIO*i|IvC5dZ?WY^CxW=2>_ZiBDYVfdw(bU)Bo`{rRk_8 z2(Y6hWeWhHuR6b082{#%9ouG2leYEp^Y*36e-k!0IYAlHov`>$phsngeEm;q8oo?J zq5rT3_9Qr6RI~9sNq$#5925&NX^&y))2Q?C@EywleY8wuY11*xt~DVCc3A z;F%^z_GOG8gVd6_#i3|7sI1p+CY0llUPkjde9&E~67}&t7)&+P^BgCz=$w=d59x0b z)ps=1Kg|n$J^uWe_$Y|ZxKvElM&~g++6U-&FQj~AZY;n@g(Eiv4+PN&FgozfdG~-b z$7_K-)|Lsge#H3TUUt&>-!cL|L^nL83~8kvK_p50aD@+|Gv93nfNpWJ>ZA=CHKfNt ziHU+`QhN7Gdec|8TOffH0m}$=z)|pBn?Of|^m7&_UT!iVjo{ ztp$gC6e%D6OXN>IX8$qs$(ncns%?v=4)6=(tpzj~6V&0;1=nK5=WAhH!!I}q-FdGeBTd@YY%~SeZw}e-# zBzvF3;}GQMv*8l2z=}o5;ej?ukMAO9%MEM`6R32U5YV!d8?1J-y=n&(02PTJLNQCN z#n=?oGe3VTbgOvPQ4GVW8^0&%Fkw;wh@IWa4r}G{U6TqYAcj>(nRy~fC=xGmbPHRj zWRw>7VcfP(G&6r6!lHDhS*d9$bohlqW}oh2K|BZ?C`$p3 zP|XvY5m&(}Jr_7K^j9-c82!#28Z7flTptWmV;)Ep<-5#7Zh>DA;j@BN5uc_LE|0|f zj4$~eT@6WoOJK#r`eb;K^TbgM&B!W@leNOVCVp0_;BE`}Zav3HXvD`T{U`yqu;kMc z$kL3Ht#r!y9&ur{iI5%{tf;LvEn04+EWoy$nA2MyARyV(!I2(D$0$Gr5X-;DeB^*N z=(@dhTp->w#4p4YVqdq&f&A+e-s#wDz|&Qs_{Z?$^8U+xd|g5)rK-{mwA3%$_?PQ! zE^v|Vy*6ptI}NQjvguS(S;^(t*cv=AOCWKu$kqBGLJ2I}sXri1ODv9MOrL5wNj2>% zoJG$P*HrACRcpjS*sr#y4n{Dy1$y{N4cw%zpaY7{GDkfsW1eGYV*DU7-Aw{;U=x3d zJ=BvJC3vnJ*d1*+=qT?E(Ump=p%h2*z*kW5BIh3W|NW6v9+YEAR{`yQ+95^+KttR_ z=tAiDqQvtC{~vjT5l9)6WbHdJ@N|nOmhKu7?+SgWS-j^TvB4061%J0yUzl+y^BQ6$ zEg0Nq;sVzTDVUZFWjuWa|0TG}`RazA>%y0|`iN|Ll)kM1XJGyW;3KAav`fnU+(tWd z;w_`HLRvbHQs7cftClOF9UVmz*P-2lSuj^Uk9uK)hUgqr1z*RJbR*F@UT zSWDX;s~j+X(j7bUopE@qhi>d@VG{DlWb zHHx^-1m8sg;8H=ypd8D3Nq#(k%)fCFLKp%Z_uO$ONrGO`B2B5d)#%lPlE(7^%X~k0 z>!MujqisMVGycmMy!#5FgsI@V@N_weaSf3|>`8xmG6X*%h$k-7;y-r+M(A8<0=1gM zSOeM;E7C;O=(Sp3SaCxA7^YG{B@*i?6jcNf{B{o$ek;d@jV=2# zK2xh7+`vfC2`Hn6wbN&=1fJ8&dx$!;GQdNmF9IF`sP0Y}w{&Z9-6m%>d;%nN6y$q& z&f%hY|N@XQZ;S*3iO2*`+Z-ZC7K?=T!kG{Jg-aLDK-lUtSuO; z4b6pw*cWLg0no4c~uF7tk$pRz?*_7+Ui>M(a1Qesj+E~?TQWB5b=~5@sTwdO3 z?Y2YH5nBla@SdlQWl8k?K_n0V#-USuJR zJ?LoN-e}3J?RSaTqqL9;e@b;a%{V;pT>$n0c0^Ew43NDH5mMo*6%)cB^#YD4|M5zH z*_}%m_Be)^fPUeorS-t@^a)WF3?naz=%m;ye|eh{oX@0B8hO15im`#YKT#<_E}#C$X^h@ZnN;N7o`!_ZNzJUi%vN@r$+u ze}|0U9Wr$z=oI>wp82A5>C=G90TAMWo84m=)59GUEHhxMWxKFnlKnt+uVak=Tj_^Q zH~cD%J+`{s4=VaH}-)#q;YO`AgS!4HaC(ILb#I;t4Cjvrp-kYR;CP5CvP~*L)p=5-7dW30 z;|*SuzUIZV7H&%Mv1av_EZ@2pU5Fawkg4z!b$5QCk<~IY5!r@-cGNV1PPw|$jtlw@ zz*;e}R)gc2kd{zyc*TeT-jWJ^mKsg#;#5I#h$cH5HMS|~`J$A4`p=RPdJ2GEhFL7* z0Yhz^nD<2AS)0c$;)UFvx6fre*#@eKY?;)84l9h!p=(L+ATHhwU_4kYD4km?;K5Ji zY=xus5(2uWub6etY%nB0d=1q})?chEq)&mr#y6pK--B@?>vK=DsXV8!6+50f5Od5^ zNY)Gty(3jCJCw?Mc^2>vtyNTUQ)i~PC=K|wzr1dJeP9~~}AyV3+x za?rsOl!AAicmV99QGt-+LJU9vAjqP@Qu|WL@7M@rN;2?lWukj|Z@&>V$33O@c1bqoDS9Qou=VpmZyubPUa$EouzjOSU=igIx8>j*xf za~tB4K5<(|tuk|Sk8v9X6j`YV6}5ZRiWs}H3Dyog5)}c$K0!0YRx2~CB06F9yR0`V z_UUFf;l`)@Uk#F&y8~tu%P}O9>D_t9(t? z%8?TmQ@ebUF50AqrniX>a}Ejffnd?)_!AZ@WtNCzA>{A|wa#yo*U=vt4N>tgTMBjT zr_)917Wi|qppuQ#OdZDwWfqC`&D%%h}=Ba*=J)UEy<_Q zsArj!;JPCBL8wbM8|teI0t1C93#VLhl#5e98%xG{+&#tzP;|lYB0Gq~`wZ!jBYc_uBS^ocrln_j}GL?qfR;Te~e!D^jfnQ2|-YhkG}8 z%68@yD=ZqdIdjMucl;RWmobt035I)afAVw*&VEM#)z#|EQd53++qG!za|x%^(I0f?@mPZ zYQEhRSvs1C&As_gJB1p)lxULlw9VV6wHEIq{dT_i@_uvKYKtJMO*E<9w7Z&b!q)Vc zb$)U&I?~xC*6rcx#lyYxNyxc8b45^T#-t%AIuH~WAgk*qQVg>qjwC=obxFH8a~3Pt zR^SGpfedQ+rgp2}Q#({i-JcyUSaHeu&4vQDOwl-t#Ih>m%5qIFY(g~@jt$HpmCT0$ z)ed({ztQ*j6@p%muETq@Jv~h6wkObymcT#y8h5uWz?8V|#f`tvo?cPKMQSlj-#ixW z^*8r!U1TxykJ#TF5k4g)S-K#EzmM(KwZgWe%;Ak!RebJ<R7cLT{~@}v;$X` z*Umq8Cx7b2Qig(BzRa}DjK6ur+D3s7zN=_D`-A=yLPA!3x+vYxM5BPT+N2w@Q)nC? z>i4J>ZFzsi<^6hhR0MgVzIc6puY&<-v70OiG9R726XRBu|8WqQhv0-AV6>#MAhV#R z!aM)BZM^KJ??W==t}Xx{#Qb+=z>6RbI1V%*)IlBmwBIkopy^&yhI>7c8?+#XnC}yX9@QZayhDB zyjkWUrngTbYamOIa3L!>1$#R2Vt=Qw6vJ8 z2>JCG3Avk*Q92!7xY2R*mIEgOM=reYv zj1|chV#ZE;ciT6o4$#JgRR`bK@O=A!`lf0k?pDwsnry5NP>l8W{{8f}p!EKLs~eVi z3p{vXp<*!E`qb9kKHFLaM&*ayTKo|TTDn7DxR6;+OGsdn*j&8*UWlB}5WArQcT<%kDQ135Q?c&&`!zg9GfJdS%Yr$KY2cjRCp# zK9F5m#!yEku@G@D<;S%S&Cq})X&rgFgQYO;XO30SAuOF)fv7nYwShCSj5Y26nzQ~J zJjSF>O`W4z#^nq@mrb!8hh6p$dJLY(eON~`TandFBTR95RI**u6F`KLv7eCfCq+US z-1I~(BS~9p=8fw*F{#{8TTH#f+8t<@n~4ymqhc8;ct^x9T1kYC39n0Gos$@==R8ek z{?Nx9b{cgHO|c&<6hpK?llK>2F>0SnV|bJ?#iLT+mvjNCwZ@yM|8IK?iC-(Mn3bYt zCUD2bgmrtC%zu#15V$#)Ic|$P8_U8bxVZrZrva4kt>9;Tl3ec$*T!8OPn1!PX2Z|XuxrTx!TG#%><;8GB$yY8ZF_lJ!33J_)$7UxZ zt~p%i?_(>xI3OGXMewz*L;jUzaA}Yi9T$Lrk`6BtD7cV)izL-Jd9j@Udb62CL#9<{ zUj5j4uc2F-ys!x>ABf|qCvq=A5n~lHybn`qp7b9kdfT%zqjikp{F`+vnEIp)X9A1Srv!8&ZR6~EGfPB@{_AoyPrsT*da=gR z6IpR5DE{-KSWVn4(i-$0GTnw!UV`ge+8ijC<)PjUSX#QuU`htD6PQ-OknW0kPY^fwkmGbq=jlJL@r%+ zN5-5QK=_n-&udIK9U4)t)#zz4X@uFolYD3*wvgTHRluxsS2cC~mH})$8J1Z?$7vDi z*;S;y0DF=Kf*1C-OweuzAp*xP;^RccJE;B0S{fJvW9ZNnhk-r;He?W-L|BUD@%}O% zqRF_Y8}HEvtST)<{B*qM*!#{J8(`hQr~1brTZKrA&T$KGq1HLOz?XMKBo$Nv@#0|# z2?sMp>2Gfm|I?q$6Q&oz;NJFY^zL_%aA+6N+}oNDR+z;T_X=MqP&$U3N*s0(GUSb$ zN4W*BPj=KhnqDm-iYOjAOW~=p;PTE2#%JJ|@E-y64qH7mO{5aau^>XfsueY<(pHxw_CZ`^qFz1?=5+xd{$p5)+4A>thXa-u>k!Jc z{9I8D81-dlL9;{2Gf{bk$?_Dh0@cVc)p2XvK*SX9uEpCHm`c1qXCPzj-VX;G=|bzD zC1a^e7Z#UQT_k{}6L~V^neo84Ur6hU@GWx>l_ou)?_oujvYdSebr~p8W{=1}(!7hx z$o!^kqIS_Gauidh{9T;!pl0N(3!)ENysuuShi?Xxcv83KGAG?FzBskm(8>3Pp=Lx9 z+3-@+B!n+@=uqyXGaaRHOOL%EU{fL8$$G1buPg6Y%m_hIMe@^ViL9z4wK1jVgp`)sbS7~K|X&mPSr{D zeCEb~2t|Dbv+7ek#-nn3Bg@ zQ{?&`IvL!`YX5_~a5!tl*&gZ2>EaAU0oqRhV-o7Md=r z%PTq@&Ww9f+)C%E~iEOsCJWfmqy%(uZL% zW!2@~?WRNLH=YD)h9qQ7IX=kaMpaiD}lo8c#_6XNCDwR^Gw= z3QntqS6$o`X!J#U~ z-WCh5u)l?|Hts4Yj}csFmR%vGav@e$O#G# zwuM**^q1OL%SU>6>@@jF{}z4BZuM8y8&Fc<-9T*;aa-{Pc_s7Iqv-FHdxs(zek`cU z-6MK`nmwd&$F#W~`u>!TG0Up}sRSESf+^mv$FeMD1KDX+@Z%ufI!U)0>15?FlQD&0 z0s$Rrf8cfX6e#0WsK}|!DMBC1;H4enV_%*#!NgR@J8YgGrvX&%RAh~$HLMBMo(;SnuQ-t-T-8p4B*&+BF)YmzL2Y$U z8^hd`wl3ib+gojQ@hstRN4N+RQ0KyW3&4^txNw*?Iz8Yq7V-;1mrMi%8K;yW1f`9q zes$ornJ4Kdp4qq{sp4zuO}mHp$*Jj$%JyOaEy#V#ZClkuoE7gaxI0BIY01xCsE}xn zg@?<1a6gO%v0?>-=<0xY;l`(V}e)s%f0@lwFAxK0{MvOojGi@7m9%9^)AksIca?;!F;L!FutLV(_CH%OBUgj8;8=52-XJgrVTmJIX z3Hbk7K%lG=llFp28Lz;#W*p7Iym(oOnO`f^uqJdBtXL;RlL0bpk>`)nXk%-jQ<;5& zBOog&3f-@G!H|yyiR^*!Rfyn3T+mpJxkg7O1%Y#U-)~kT3iI+puk>}aK9&IOV>`xI z3#qT48!FfELG>)^>yn`!{R%M}mDqJHUqp1qsUer=^;TdP zNPkA%9&&)Em6WWX39bncrbl)sEW7e(kWQa*k*h5!qMw~rURf*5y6mUE73R=V`6kf; zzdrJwi*qQ#-m;c8hU6F?_dtx^ZhycHkjlKfZt|5EeEMr!@^T4qfso2fFcLf=r*WIB z=s*jptCKBvums}?dOC3EKN~L))*QgrmXHy_{|#W-Xew0KjpP?W>**ID0OvH9+cKL* z(DDAXVscq9wYT5dh*IVlwzF7i^KPscM9L&n=4$(D*TsN#ev{+~>Llv~j^nT#J@i z5^v2~ZJQ4zln9APgdYnHjZt#1Vy3MqUUb>^E7?mwjrJ#ec0maa9@^6&H!Zds;L-}z zu4e1vigEckZs9WJ?anbKOFr3P+~(~uN-uZ=rNd3_HCOB()98FFDL8xRua(*QbC}3g zLuwR-YCvy1B5%2>kXdn~9l$29#QiszCAxGk`nh*$=dqF6KaXmyT z7^@yC_|o2kXkS%NcflX0eA*Kfd@(7=#A#3Bnd?1I{`H3g?O+K#Z$i)lk@&<|vRsOA z7HJFossX+q)Eh_V6m91r?NP26(E&=zm3B+%+%S?~(LR_aO1*rA8EgDfKDk0Ky+zm< zJ4??wjXft&qF&4*RnlE*Ruv@lv%xZ$0)=-BOIho8SW1FrE}MbT-;pV_N-@00DS!sR~!t&o|`q+t+!5gfo^T}H=nM)I;{Wdrs z@OPX*=30i!%-gWd>Xm2NZ`-3p(V-_F%mAwhQpS}Sd2a^$b$|*%Y-0%Zfy>uO4lxmr zYf`!9I0}iRWPCXiP#O_>O2{u3ypdv6PZupeB}>6Y7ZT}$&I3p}(i(9aRis+5y>L?L zJA#v0>cnf9<*X$Cf31pMZaiD6%9%6>tNdrI-EqbuHCjWz%LUPoENSqhgafP^0nxD( zUjefPbet|FyHgS}MZvs-TPp#Fb&@|tV4a4CBj+Lfg^2zRXP=#+1>hoa?`hKq4(!}f zzWu5eLwQ27(zsC_ly$Hzlqnx>Jrc3UxTE^b8iQ@b0M49J=~Gy z!?ctX0-a?5`j?W^%8i$A<_k-KvzbXNq(N(i*>iaSq27(-7BwOz#L;BHXDn=`VN9Vk z=lImZincS9D4wj-PQn9Y9(GIYH$J(7s1U2) zg^^Jlq<8nK4F8+s5SjbzXDdd=gwQ6{c92EViLHgy2g+Lm6CKR;VJN(Qggv5r5E;{5 z1FANcjF9Oe>C01fJ3~q$>@PN-7H@|>$O9{nM`M|51M+f_FdA8qDwl^P*=N!l2e{b9 zpgYKx*XMafJ)gM!Su$H0LfSk+}leUh>B$MNt(Sf{c7HsUb?&g+- zU~X_YZAZrfBGp%{?+{ul47wcSfG4@7I%-`7Ol;9fmqc%?zm$b7=qDr9I{~RO>`7J< zVE#veurgjLrGmEn9Kqn`Bmr;=#CQqEmvr;R6*gYLN&kUT0t|Qm9{MJhYm#-@b0-i7 zIHo9gaC=u}yOIBXQxgBOr9m0W@P#b(9NU{;q-<6khRRh)nITOlm&`MQeDOQpJ&ijY zYf3rUXFMkhQR*cgLu{lI5!2hTC>{c{M7ss4qImk*5v39I%Wpf|BQ~(!CFsQb{{_q=WB+ zfoiCI>DCd5>RTGGv#kdKHFukUwEjc`^*(omABsBcP(8_2LKKWVMN_LpK_4~h^H!Xtd03A%i+u5!r?d+?f4Qk6xGZW=h~19mX#=V; z?Q=prJ?8`OzAs7^Ilu~(os<$Nj_op0l@8%>5v`+g*K~B<2DnJ9V4v6Nmcws=y!vb% z`hHNIttYe(>jg_E^|_zsuD4L#eu!u#?F}mwW{%I>@;)z*6q@DVqoKb zXsgT&R_=V2TYZ2DT!TnC9glk6dkl*ZNk(ZDZ%55}Q$2Sitp^il@08FLO)UkxHpqE- zS1-1K7-VA>2$Ch%8Pq`ltMC4|fYiF>V&H-RwsH)cXtwg%nQ+;GfIjF)CCBlk$ z9z{Y0xdbK>?r>RK;C*+j(_SqjKCk#R+Hl*$WNONnsM8&Y-_b@3(z-$0`#FTcwC&l@ zDLH}N3VMD`FjtqxA{+qt4#!Fj8YDg*EH)o8f`aQmg;Hk<#d^ZqfDmE@cp76PiOEU| zxlI>G0DSewG%$r=QzkCb)oqX@rpV<5Z5?9TnLa>vwMNtk608I{ zciqGwRqJQ)S$WHIs!mL?|^diyKB)P025CG zw&6XRO?5Zhhh8cM`x+Lmuc813a59?;WqGp=qcYRkySeFx>37BoV1y^6)c<3FS_-HB zr`mWUpil)w&OJ~Wex0odtwK2i#xoMOyr!fdWU5pAR~nZC^zRjZ3z-I%Z6!%FiRYI} z$CH43|MQw^tIKILnByiQgq&8)nv-p2Z)I0jnr)G&0eFA5Bo<(O@DH%sJuQkEm=pz7 zK}dH@`u%oy4Hv^&Z~L+JMiqx-CPlqQI7W2|QZW=qDJODq6DP(E-15!P@bKFIINm2_ zgv#qteXzA5W0KCrvnlx5Vv437JkMsq%D^Cgx2LF;Z;>dJ!O3|iVe8awCzZvD$0R0O z*Hi9WA! z^^5hH9VJ=yh5-N}J^!oc62K2~>$08y$tctw-MFF-c#IBt@_G{fdM&M~#a~G6Zo+h; zrLc2M`k9)+$=jtE60ay{Tm0zK32wxsmd6TC&fgNqZIng!>@Rx&YlyNVKeuMxpica( zE6Z$-*A&TOIoK^I=9%>YsN`wtA(zZ7he7K30ZL)$nRU;L&EpDgLCxxqd22TGQkZ1g zmJ9@fp1q5E3||JtB>`2tgUG0nH~IgC_3A-B4Jg_wBTlAdkoD6-PS|H zFG#AbY1~OBi%Rm<_foxjt$)Ot*cyJH$Vkm2wtKxU&UZH0Guh~iU@fyE19aGyvJB)u zRNiP7TnVrk*`v|#u-cyjfALQ#U%xDuUm^cqXS*Pn1`JB}q#2`*w?&)+-UFFjO|xnY z;y{(Fe<4vpf~34tESh0A)|b8p&<9BpY+29hn>}lz;C>&;FjN<28Z0X|!IfBM35lJX z)5r#=@S&<@i)=$0I!AE48oVmaYxv)CT}&lU~V%=UL~7BS2G=Q3WX$=HaPBHhR~1Tp3h<{&M%uT*%} zM2Nfs(eSO2()yIy0mpuURbZ3)GB4^RgBSUR7Z`A9ykJlWhTxKKw}8r+Zrkq2!`Uvx z>nwm9%DE#b>JdC|_IHOX#H;0rC$yqk>qUQ_Gl%Sg7~Vq>-1Q_th4$|Szmv2W)YMX) z!qtv$R@sG8@Tg~s4z3Uf9WqXuY1(Y^12!Lz?M{%BZc<0q%T5;DtyxMq(PwffKUPE| zHPVPKBU0z8DS;M%17{XNoPv1J#!56o>%`arT-?Y!j(SH=X1)2j_pntOce!>B;E$}K z5{i2M6CnaBf_XHcPrL#P}p!XeKNapNFgDl7Yi{^<04r8BAFbZE^ntL2H1A_c8z@Qz>& zj}VBvtwMmfWq=s>qoZdU#ppqRf-r=J)ZT4+#?Oci<3t&TvAOyC31ccZN!439)%GjT zy27`Jk;HX|J7BR79Z+FSFGD@Z_c{|77Js_v>uqX zwt)nqq8XKSSZUBHNZUjkwqu9D{Tsw0dd`1Z=AHJI+3|dJ{rN)A^hEcNtzv|xUNE2b z5D1bMBr+$Eup{Dx_NQ5s5atD1@8&~rA*vW#9#^NXKs^>5@@1ggQjZOgdF=ey?VR1l z-tIGho3kPo>NYArk8P$5Dx5(|xgVuE&jDMjmwtYu*=PNY2%&dS&V6$M5u&yo^^ z;`YmG_>~AyfFmR`i(E9$BqOGF<_qGz#~&G5W98cfy+)!WBmK8cUGp=g8$+T?{9tDwhi`BO_&}iL-Hx$__F-!2P}-s) zaTItYyi+j?MZM!BNU#w3oUBj4!kdnvg$fbZnLpI?P(j=VN1;YXhYr-bT8un%swzn? zZC(I@sPOkv*2roX1v@Y=WgqxWu!CwO*6*KWtRo8^y@LY08pLq7H^Zg4NYrj5n@2%! zvuif2)+gYzrJgse+lZ1_gcs=&N{tX6oZOCR0)FlTUAPNH;3PAKA1}3P zslOU*iSQv`*Y(uaj~rLn9g#m3-$zqUa|yqu-nAbwVhz$-*>+>jb8eSC!s8Cu8HZm4 zc91FHM|w0DU`GPBsE$cJ4+gqfC9X~1RD$1|EA8zVF#1z6e%c8i0mFc-Rnnno5dE6* z#zf3#Tx$70^9dKL z1Ss($Q-EeeH~QQi%1gh^^zWF&`;Ox9m{KlSJc?y%YMD_k1PAurK-*g%DD^eiNBZstcz0;(yf=a z4){^dS{9r>e35Brj0uUOdYXT2l_=%v`_hpwdH)-gHsC4MR;9n`sZ}D;&20^KQjtMj zE|%A6E=U>^4U%~&YTYE*`u&$4zXppfFaICP-FXlX3Z%Y@KA4;@ZZTWBX<%ro;+yuH zrh;1t)Y!=SWY{277tb|TamP*)lO2fjxIwc0=kN<|0@$Nh&U<5GLfD1fu-p&H#?)&B zK|#riDp-T6NhrR-(h4wT&wwl4ciof|MYQ_vNeMR-L{hxS-kjHltm6fsMx!f44jZiw7A$<~-cHA^i~Jg#>;6T+HZj2A{rz3nWDkGdqFRQqG2a} zk4KyQ$Dq6gc0niQ_yXHMC7&}pNw)W3y2?q`!*|0h$)$CcxiSt4lC%aVB@j}{Xd*N2 zbptZyjM^lHXD*aEl*3<~LL&<=4g3oDbi*+Wn(cK{C~80YxRK#Qt~lKW=Z)FywZdr` z0A3JI*cHnPat92>EqblzRz>&6Dhr3}RXweoiLCkxo`cM8pg40jPpxIN%^2^HOrRhD)CZ2uXlisodx-){tL7b{R^t3CJ%1( zgYHnkWTwa|qhpM1G8^0t+9R3gr=DUEP^s=?kVbtANwOpe4vqn>rpC_`fy7}&dtC}T{*-i+ zbUk(3WFdP2_3!@(pTy1;gN^1n1L3?HOvDQ*dHjat@>|5ITJ8nTkF0;ABc+&LZ4Km6 z3n!=fzZX(0yRM_x7_YsT6<;~es8nGkGev_QQ#sj|{f{m&@N#no%1DMX6gG1r598iq z01;h^yweHz+aocm8-Y6glmj{>s1zX#kxKLF{KxdKNc*7cQ!onxaXvC4Y;~oYaCM<6 zJD548rC{|u{dJJsb9jG3o$7f4+x5`3#>?l6<)VNnv@Mg2^{xW5N+OUyce&!ojqd_R zKZli>lY!TSyO;+IQ@rkxK)H$LDE2O8EiqW^+L?gh{@~2;V?PD&etsh(q<5$7yqJ6&+<&lLedA!8n!ecDDEvHl6*RKF% zq(sRB%^o)!6!-xBaTG-Gmpr>_F^cnHXL)%no-{;6`6qY>8XrUI*J3CzxRxgX2kE3R zo`EHddjGw{?DQh7LVov^92dECXow9oxTpHx3bq=a>RjHIM!K2iP2$$ypONwk)4T~e z<b}JX_0A-=Cv_B%S9Y zhM!j&>8y(CbdnmHpRAlu8f@5$+=c%fzPDC)t0YPWyJB+ch0VoCuRJvLTm_LD&#D$3 zM*@G5AGecEWsWHrq%y6uAfDoKk&4XJ%))sr#thOXc2|XqQ`xkK2a3Gf4i#mzf6F8_@rvqvfmL8(fv}i=IUWcR+s0_aj z5DayABfn|)^mw?!HE9=Jgf3$DT~A&V9CL&f4zOAM4U=vI%c)~caKIeM46Pkk&R%C3 zG)}+w>1RsUgtpH#pNR5c@;~B#7*MDsCw@Z=-i?zt@Mm+iurs-;( zTI!X^)y-0WBMDg4rSc~^i69{hRj{$v79G8Pyd0nMuBG8nenNeeXmslo)bDc?onxyK z%W*xd78rRzN?$nZuUnHy=^U0${zPq>(ehc_ai*mW=DHo)p+cPSl5(wJtBolM12A|P z-h@X+BU%`I92Myx#AC8^b7hHnEIhHJ)vOAf)x*}j-r4(xum+7H0Z@J^)vCNBh?e3E zi02*7EPNSoTenKi1?~u;4iA4d_W5=z>w3jrS}>mMB1fBXn!56mZd)oTzH;6syDUgH zHFjDa9TQT#j^b4hz*y16Th|?D(5$vDfzqVwYKZ30DJ@A9QFh?)hSC~_DPy4+hLS_% ze4f&rZ$0f^-`tbcDEyNSo^lTEza27oUiliti+R63$Foxhi|LvM_hB>GOz835qVXPwD`ls! z6U6?mBHJ?_IikWQS|v2fGIGo7h!y?R!~|x{X)tvqj{B7r3~UvT`e}cyfmhOD>^$3Y zy>`(E$YRkY4EP#Uf&{RPzyCp5uhnLpy9In-NUTe%nS**cKZ4KDsLB7|Qru4o8QG#0asiaw_2>t!DRO;dh? zzWW!xiwetDx_tu&0h~9#FX^~-^N8d1Cck*&5$hdhq}NV;z#61IEqh4}8F`(k5`=pr zG66riZvC507384)D13^Xl$Sp6SOR?`Wy=*cejrSdDg-a>o9)r8sR(DH*Y#MU6DDtW<)1VC)-p!3eSxj>C{`g{s(asKlmyTYKb0#XE%pF#YNX@VRk5+1 z6h}?QWs<`vdsp|D5ka=yQmpA5lh}D z&EyQHkUJE0WtVI|Uc%W}nXsHI3l&iq4KV5?v8clk#aFH%TRgeGwGkCXT2fOTt8Zi` z=;lV!2g+l2;GC5T^RccyD%0){A!n;(@&1C42t3T^(>8(lu$?!S_%7=VldSzG|NHVe zE=5=yIt75d37CU3){x8>yM(l9g`jO8+kKOx!H|qWl1t)~Z|SE%0Jf6Nlkz{057XdU zj0(OlefX|}F>uDj)%q6=-90##!+bc;`ic|)y9OD1fVW{Che*Rh@Ld{m>u`9eWQv5> z=zA(}4_x5h8uj|g;Phey_WaT+2oQw)RYpa)7O24U1@Y<1JmGh=z)p$Ie$+n(Q*vcA zWs?Pm@#wmhFmi7zEK!1E+0)V*PPWF+5aB)m%nJolfz|Ik9Te(kG1{wD^t8NrgB6Ko zzS|C4pYdZ4Bk=dawMC0E0_?jKfx!U|!LOBo5>+a&?7js#e2k?FfdefCnz(X*;M(f? z=Wr#4OlGsH_DTTxB^fvoWuEW>0UE6x&d!%3qJ--KN^^i_e?|VJ1$E6aLO^^3 z6bQ}!hr$cL(LaS+k9sVP3gN@S^BT*=p>@avM(D8uMy?n()PxczMbsU*7+Ld6KXD@? ziZUXPX?bkf?n#QF{*9cL`M0!l;F~#y6%f_fZjg77=GyFfZl}%loM&em!EiNUo)4CW zNbwimj!sq{^ZXD3A1>MZ8ly@Hek^RVlaJF zHy5TG{=D9#G;R8Labq#Su=E4ZSHTu=GaBS9JMb8e%GQT_c%m5VJ^iXT-`*R8qSDlw zO&#M}UTrfBagfS?Y#h44{+ut1y=vY9m@8E!l3`M$#z2)4V0BjxELGe&x%Xk1rMD5k zDMiQkOd{7x0_Ba`Xayv$CY|R5fIeY4&p}WBc6*t>1)v1`vb2U`(oo@G{uW)g?vWxR zu&}Qc*nJfq|bH3Q^UYJd5Z9>eJGxEP{}H_jUJ#+{nhvxXQ{MbQEG7hmBo#0wIbTB{wGx zULO$xnf=9&hP*_pPzq39BqB8DZQzalW-9IdpVmN>Y1n@^KydbO98ZG#X^)+ zL4ZI1_Vxk!`8e4bL*LCsHTD(@lJ=%ze`o3OLI`^$#L`8z7Ry9^=Imq%JWR^_yPGc} z!Cu@WSby!GB@q#l7Fle+sr%{qulb{(6rF=t7;YPev+Y`Vv%So!7A!ejjIJeN z6*$g!+7^kYz}t4D7w0|v+~ix9HIDxuEcLIH(!ZuR+zPzT6=d8V@&oEU;T#&+MS?pN zr(@X7VvZS>jC>c^s!v&P<9`MMkVzkEq)W{jqD^{F0x-v8Wq$eXiwfmjL$^)s+Vp4n zpZK6BwS|0R(}f9iUk&5c3q_~>4TqiO;hQNYzo;|zct%{~NT3f7kDI7%_5l`M^Baj$ zXsgL9I%;3}?VmIp9AcU;AerdL0okfL<`%JO0 zsWR=}*gxB)LO7GHQFh>n_n|Noo%=)L`kpk3iHoH2eHpRFqLU(CM_Y1rq5tX7T%y{) z7SDkLK^pDKay8ZH{}^J!&(6P6&AY@C`>HRZ(}=U&51U?zabj~br%fnE<1V8NCgxBw z+b0Xw*lJSgA+U@-8)C_1`lMOONy^$0YC3sVruzl{y%3p*zRhK7hldiH&q1%^RaVtp zKHe)t(Ro{Pt-~h}$otpP7`t|0^My?R67PXIu=nA&%vo?}ynyAa`!@$T+UNLvWRsCX zO?iB})o-8GE=LmEA7X9c>lWh7vlG1|?4!rkY!fT2wVQQ;-Rzu4kRJDhh~=|BA{|LbW; zAl$W55QT|LHHY&#b8FBII@FiDz4+hy*w2Y z#)4}SqkQ3299w+RiFdX!?l1bYUmJJ|7LVwiQ7p)s^?ao-!z?!S39}y*h9`Ke~|;3$q({d?=uPgf1XMVU5&2Oy!0MN zhFAhf(q zl;BM@N)D1&0{l8SbLMk2qAxW!t}zfsQ?T+PWbj<0A2`~fhX_oNXOsK*Ico+?-iA=i z{It^IXYW0&Z+6gn%*wT0Mct@1sn-iMLh`Z4%U05x*f20jFJ_^yvVX1RzqW_CL%vnr z6T#~!)rXmjVzf6*2mc~vz_A&NWf1;#gE2NhNrr3yB#ho?3C8(^pU6&a>$nk&Oe0{W zSxH8>8hj3&{_qu=|GW(K`fOq9Br^H2;Bz2#mC+L9K`l-0*U&^>A$Hvghvf@SM7lqH zdh#ry`GKR@*%sC;VJNISeAp}MCzeKrP!D#U)n(yvTqC!$LOS&HOuJT(8b|f3#|e3M zMV>-3hM|dSaH!Q(?6GaXZNl>*)kKlsqzO(pCJbr%*Uw>x5p3R&0zV!^d%kX+r7s{t zu=xyzwD;a5GbrDe@cvY;IkS3Y8Pl8Rb_}M!#1L7)e7}J0Mh+w~s-B~?hSAQhj(Jy9Ge*$>Nkcz4aj1yWasLN+?7jTJx zpROfIx1VpTTEi%-XvvDunRwd*rm|NN3MWd6CsAvf#i+@gMjcXxSrZfVW8lUbn9h1o zgz@njy#8{oT3r^#V!!Ic9tmaUf0JutkUh+7fJnBc!weM8EcPj2U7C}xO6p~CT4ktd z*6^O|J3>j)!z*)Ik~KWSq|h|TNDcRdhb_xkW-ZE9lCesV_k?$~r(Tg{81N}~jaxwZ zE!KQ`+d2c^o@mD2K1fgTUmf))9jYENKGaE0-WmaF@$XAyYQaR6gPZ)Bm!HQsZhG03 zvqX(U?q%KEj|7spGp2%;L#K@Irs=jtth9WbP_5r3<^bkXefi6Tj*d)gSvh=zvRwP& z46p94M$7`CxAI5^vCxq~HMNGVeUKd$arX21KH>vS9bMrJKkd|HBB z-Tn6iIROAgQ?%L=`vHLoqMnk*Sxcbx&ug~_@;>n;2h|Bjw^(oswhG>yW`kN&O;rt; zOq51|j^3UPRar(mIy?I}#9F&r^djg`<rtU`;wa0SQ&HrYw}gMAEe*lQ)qA&E#wR0cz$KSxaLNDdu_3rm4pTW~Z`p4-z1ojqse&9gr+CQ!!2|Jl;nK5?OI3{F`7Sa?=1$hHEFv+y z6m|dQHXtWE-(ouRW3BUx#GtB2j{bS2&Hk0D(ZZ(8HJ*7kc0Mc2Wg_6?M!i}Yo-nMVr7RcXouan-gktN%~|EvOO_o0pBC zJYNDgUH#bLp^Q4f$WIN4v{5n0t{Kwbak^jBtGmQ{&^H*usnL)Zu>r2J_JA?57@~0Jo17j za(mcaNPk>k5s zzFEu&KhJb17^X{6S!T?j)rmbz4*{Qe<9isgH>RXc{5s?yvMH+P{x$HPJQbQGbfrPG z1Ccp4E<^J$5S7)`JVPTjVzS(f%LEuQKEcDQe2be-Q@H#W%)G&~8sEV38+B=6Q*$5k zjJ6b0v;7}5-)l7utjOZND(U^_3am4o zscwJcAa$zz|IzGPXkNAv5^9}e=6{dUYwv;4Hy=K)ir@S+U}k4~?QvSN8t!52qS)<+ z6GswXl2w>Y#4TR};7-o7gBLg0S^BHS%@!rUBN0&&fBV;a_kap(>ljj1uj;&Sz52xn z^NqHursYUeRb8$UUGlM>Q!lz9R~7!1W+O+_8U|x%WubkoPTqz0I&p}MLN80Tu|{Xn z-0AMtoiLd~axFSey^3OkfuN_EJ>k0x3kgyr9`Uj!hZqxl>4VCVLUSy0Le2Zt7K$^C zZ3828I?g^5UAAxB5e(tcfQXT)%FcT6$!GJUiM5LP#vKHHCf=Y9Dc7(WL$UXNTJ94p z%>y05#VY&GJT-sBsNf@_N+6K_lkELpvcYp zKF&qS9)Tr)FOD=U)f-*8>{lUet$NtP`@4vC@Lqg=UO1EwbG;IhpE4dgeIqZ2v=WTqn_4IP|_k%EI4LQ>Yo&ly-+WL1AAX%6xwMn7mt z(kbQBDNU@K@}<0c28S#LPHW-T%2%PRy|lCOP`y7{DELE3DHBe(L@CEbD%_Iy^6lnw zuht}e+T^R(l$NxE(CpXA@ZJV3*0R3T>{bQp`JuGCbQg}alhb*LBDEGsD0mvbbB0Bd zIOo5@MXod)G9x_N-;I7wE;Qf6zG34v#%#hIXDy+D>(zt3(5vZSoncaYB+axEQe%1a zI5=M%BY^x^|NE?Io@8+h-_;>??^j_q$nX(@GEuVOjeM&@g2%SdPIVf@|G~O2V?RGX z7$relOgd=4wDaDZ{#;EPTTC&IsH1&K#QO2Lwfk}k`MdR3pDn)HjxITuOc_l}%Sqx5 z{4W;I!YWA^v?q;^q}Z+sNA(+-MDq!X;Bs)l%Nr}Pp;>2v_BlVMs@peK#v7}gp&*sw z?|S1&`9#2>6f;b}G|6i5tf@P;QO?XV5%j6(`#QT?tB#?t$9v$6TPX6c03o;9dl=|GKumX!Xm_1VHtQ!kD5HvVsbM$L)br@R2)heoek}>2n zIVhNa zR6U$~bUL#IIgj|yxN= zG1;uTryjf?*-P6DXm)N>IwLwT#%koO*c{O)Bm@zGL5O<7{eeha+RkGFNk2p)nJDe% zt^dM}W4KUkan^)Nmt_9=!=DovTT!=n?-r1$c(x&+l)U<31}E8=Q4Dd#)!uL9-`&+g zpnf)Ohl%8v7B$@_jkb~44Mik>SNm0j(S0o^ZSL;jtdDbtK>gg}Ft%^9eAhp?0mi;O zb?sxZ8l))e2F-GoR*_fFJc@cGu)9bO#V}r1ceS1dUj)WI znuTNidT5(bvA%H}1rQ3 z38l3k@EPsp*SAI><#xf2To5m2J%8@Ifw}%nF&XxUbC7TnL7|?Ad_no6n~|=aqQq;* zE#47lcS)KZ--E5=LY^mAQ-zhz32gA`jjxs}?xV(~qL~F6@u-OQ%CG(j&66`k zTXpw;?LfnOSuRi*k6sl;ZPT9r%Nk;voAA;+fWJGZx`iDzvE0r|Uez(cF_;X*W=JRLSf*c_sBslgXfR+;HSRR+*JEGLDm#bXpsn`qL2nk`cR@)jpnP_6qQk|g8 z;)NH|b;Fe0*e@E$=-&7KoOVPn&ZUDZ0*5K?Gd#R6w^X1&J!=Rr&D!OSRGEqrF( z9a$y}t08k5T|;XdV{}8c$$COST2^LC2yLOwr z!aWg`5tDhDW?ueCYpP(K%jB_hZMWdo%$b@>t!3K&9ish=6lGr1&L+hrUrr^be*)O;|f%L2k)MIpt?W3?_yJVr@^djf^f#wZ~p>u%l6Xb56D; zL-%JRLh^-#vSXfvqVlV)c1K!te;}#xKhC6xHqRBCW$%V}oHu*Ey5~ozW8z3DdVcf{ z%ce7GO@uaVh%aHP%k^BE7@DR9S<7ZsR?*1l(QwE5OHdsV1J=BVhE03AZ!oF zq97T_FMbb8DWM>Ro_I)aCl3PcGO2$Ea2w?k3G3n$io@dx;OoWegq@$67F!?qFpb%6 zX}%((HSU*%_xa4awC9rKe~Q~ffkgZHx-frQ%c_6iH@3o<63nGVw?^xcK%Is4-z3py zZ3%W)_=^L5)USCtc!Hfn*%5wW`!e6^3xa?44c zN|jJTBrl?gYi~G;)oTz8JgZVD>}BB$KGSAHlU!(i7`Cu<=rZOyHf*Z-KxfnJzoIqs z0`pR?u~GA3O+l`SFrFyw?^&X!8L8kTiE9^u*YsMXO|;ILUW`%mJzki>flR+4qLoKy z#iq?Q3IrrI$WN!^?(hrzWGNYypPL{c7eOr@F6Ha|ocPv}fbYXg0oDR*uTkY`El8~t zB7LZuXa^2`B+zF$MhKpG*!n0I^8sJS;69fG#IrsxGD(N+SLeI@&Mg9o*Hq<1kHT;Y zk8*IKI$o5ke(DADPa-=L%?HQFoC*T-!Inf&N2}?r*UT4;Vg<0_>MZu0JCUPG+e<%f zRk^6j7}K&u(^H^cIZ!U}m;S^Jdx|83i!Fu4= zbB=s(70t0iJ$Dwx2Acl=bjAbig}+mmYtG&~ut0yC*-PE`Z0r8yRW_#hnJ$&Ns0O#- zlh}U;O3ic_W;9?D;r$`X#2jUCN?o++N3#2Bq)VxJz_z7zC7##WS3DGO8HPY{be>22 zJiYuQ^|m$K`@3~ff*SQ#?r-u)wl%n{!2N+nUlA4JlT1uI>M}~fnMzA42O8%4Wb`fD zEFN(i0#F|PqcLU&>9_xg-A8#}*EgE!=B=@nEw}I6BicqF69M#dFsq@agF8|9Pg7R( zh1wh`CAfQ*uBc zMKn5(FtyJ0uZn_G|Y7f+&>eNlQyy@ zDWXWcD`5)*v>}q2gfy^IsHExvzWKofrUpYZX6 z?8V48VupVe$wB$Ph6@S6c3fHZpqUQK$aG-ZBnKY%@`6~Tbw8h3CYK@^NmH#1Y&e#! zR^q?Dh~>5Cm?^)Kqs}Nk6Xs(-q+k;pVN|IT0!0Owrbc$l3LX(1+Nwg)eckr9ZWdHT z1(KYJnY8^+S-?baGm3Swr&%&|c?u^bjd>|(c!^g+-He0mRs0|I3=LR+M3LIOSbK7? z9@U-<`)1$g>Yx9$RGXctL967CBIf1vP9?GqfmCBm z4|75s6LrJPVZ^zKW7C_@0U!ks2Pbo*dW>KcH0ASE-$qYe8Utmqvin)eRBKk zkq-ULpP@;G1u=p2Z^h}h79@o{LJVZ2UT9S98+}sZ4R^-J73U8upI=G9*~Zt;-}i5o zj@gJNkH;&_RvWAgeveEmHTy0mC4EUJI|KEMa|PqO_LkLeBOxg4q>6P%2EhIH_s%_w zziEY5xIgHmrw+aliaBK*ZMNxs{v3fx)&@r}@KMd>$Aeu^@@gC~@ne^SF~-;Xx{xt} zdYS)zLTr056kr-}o#G_hJnE1Gwqzk^4Nlf-m_mXKdWhBJwm1@_S?9oGwF0aP3NAVo z0I7ag#(tQyUMtS^8w-d091)WUw}D@{{rLh06aiNVh+aFT(c1Ger@RQ2|xXRliG-dNt1YPK%Q$W(DkY=^- zMmOB$K}Hx(bDtpWi>J*j-){Y=*l+wRNv|oT575@VP zXMc2?BZ&myN%Ct>=iR1%qO;@r?M>;sR~jdKeR{G8;Q&4e*KeVKTJcc+(F-Kf8oaox zqc^oa__sKw|o0zMz9c6Gi_tm8DI4E6+R zRG_~8ThcCuNJ@}4LVpi!T6bSL1D~)Om2;y>9WkLFF#{00-~uozo+Qn5Xdm8an6dfs zHi^e`zT;`{<(qEb!lZ(o05V&eGpKQrVm>VrrbdLDb9z3SE>x+cKDC?}0X%=ea4w1% z=sRC6%UyXz3rC(D&mhL zm-w;HtRT9fgos#NT9);0WXUbNDHI@;LykRK*S|sAodHpogQ0UQ6|Pn>s5*fjFv2*& zo)7jrmbS<~45%E2J!@fInr-v2abdRq`Ir-P{aEj$+E)lPRGc%B?UR{Ny?!8l;FLDu zwBL^V<{c4h+(SBA@P(}e>~uhn>`@Uh$uF9f`rH?vFLrhPjCj&pnyPdlj%fN74`_=m z*1~Mz+C@<;Hro3lY7%?%m*jZ1U)?m}6YJV+tnDD%}&>XBzqM%*7mcAwU2@KX~A3Zu5@beNlOX6aNlyg#$9zBfjTt_)jfZ;>_OR*b)-4o&+u>a66 z#K@3Jyyh|*zl~lnZ5LDk2Zk~HVG?okVer1aZ1i+M9bNW}rSh_N^;?XjA%1r+{$40aCWdo{CoZ3`aYVq1p@cHLpo|bIUyRNbeJ&MlU7Mtb z`-zFPK}CDlMmYhL!5_*DId^&qA&trQldV{d$J)K7em-`vEJO$tVc(+%4<=_c=ia4Z z7^_Y~2KhvdIjKE4P9%Tp_0pafP8n)4ftu}tsB4k*B+STXsbRvq>Cczi!kzj!bKOgC5w5$a5ULk#npl+H}_9;b2DJlqBT?g8e{kt&G z`5h6V;i33(0_f!)imu2w(JyI`6ZR=hJL{hX#oGRum-Skd?$0l zRt>)QUY2O8FY4PXzWjTzEnE_$nma-E{ zhaiDj=7Zs8EBi%ve%1ZoCnZ42Kgyy`baD0t@<- z0CB&NhGUS$mFWF{T7+q|h5M)K1_%i>knK>DZ!qVKZvXxGI^O4MK>i@YGuiP2wJ#2t z{_%`#G|-(1Li~wpxRf?iz;W5vhKmX3VgJO=hWWr&M4VB`iVcqP#$$Y^wfuDdrkV5} zQ5LlO_KmQ4;Qh9V{X)zvZ;=b`3ahziKc_+ps+N)c*M_PcJr#Bi;@6B{*&wWu2?1UUWsJdpQU*ml5qC21)fHn)05{re@*ogmI0{_0UvD8u zw1wN5qh>}%ia4j687`D@c~_}dw@8)JTLywM>i%@d>h2XpUu7?|+?juA)c>TEcjN8^ zE#?1sv)g2Y0^+l}P1o=h%s~UUwosmCq2HQFbzch6xrdb)zL5$OgI|&o-9%we3iWP2 z@`p)E=WV9H@&-PHIdHituXOg6g#d5O^QCMe--M){BOxqS7ZA1UC4WnC$-N^Uc%}PbkyL*4J){ zgoOtL-StQX^xX=dfm>40%QT){r(V?kYjQXU?h@DNQ(E1<&KMqUZ8)V8J1#96a6`Ru zw@aMAzS9yadTfA&}@7dM$f&xD>_1tMt|J|ojz-3DT;5zv8afxfp^6`~&REliKbyrlOBPjD=R|$Or)7LaQa0y3=wh*L7{I8+ zQe9bO(gQnj*!CRq;HJjPdhHK^qU4EH99icgH8K#?75}`({4WQBS_S9uJ3o^x{h)1h zE!}y&CqGe3@J2Ww{h5+VLY8zGcT!eXcE49GJ$}Jzxv1TetaA#5bTUK+SWhH2vWAeB zjWI8@2huf@lOLbE4UK_KhPnbwO1U))U=ufhB~p%vOVyPhat`>t{65k7mgSkJQB0@c zYn~sD3jVP_Os${7r${#+?Uub&I?-d4EC9$|GeM4fq&0Q;C?MCEZ#HlKh9AP6L!imY zd(%0-8s5Bmp%RWFmb8rlnFmrB=-0|SSoO382XIIr9&@bwbxF%uS3+-*VbqaQFFJ!jzH#3~81nhH5WU9!rGY38(|rvF z)NyuOA5n-*#fOM6piTZ87XQ#a%@~8yEXOJ)Zg1-}N= z>7Vg#F-q{tEuJJ9Fx@(KB$a-6upyVDg9b78uN_05Guy8z&lot5QF zWE`t}e&vHR^ZrYDOtYh&f^JrGvyCO|>NG0xgQ|=S;R6d+4mf{cE!v#rFg`RyVEv_< zee-NU83K^^Qd}#EnkJd`&BOYE?ki-Ej}yDV18VK)wmh=u&~tQe;(h5$W*cjZjsR?4S2)~{q?ItuqEuwWjo>mMKwCR zQCjkA(F?u&0<67TQUJhRDgWVNCkUyGT7;vbp7=)3PL|4%B8i#2Ryu$zV-XPwZ=?Mo+OJ6(^So@@A zFY{L%9VK#VXdDWf{vmL|C4G;LoO5CVglV}^KR=9ji+u>gQvK?LyhlV&OyfuZ?c}n_ zt=9-osvL15n0 z7E#koi!xPT)w=ZD;?{fR0T#IBU4fK?3a&WtKH9lF7^l5}{v8MV9O)2@!;cyWCQd%Z*|51g!X^qoUeYM-m ztCc%x@5MI9t+WOf^umi#w$+JVH$+#3FLf}MnV-R4LZuw5yfi!EHf=dZ1I~gWCJC(3 zf3TV(P9AR#)WInu|r4pny<}HD==k)n{A2@f%myQU*7irwI1;#76Xr z{^Q6MuOc8xy)yX{+Id%3dm~>)c%(IZMlu;zoe{|vd8Rv^JsAmp@efTPE0mX2Tp)Gq zO$r%RnpY=|$`;BuKXx|=?csx15@3sCtPGDSc;eqv}Uggu? zxWWP>ft^EZdYFb(o%`rxd|W?N1Esm;`HzdHw^V;fy?c{^DBd>JJsy+`hb1Xs`rJ;8 z$5d(wJ^PeU6lZ^0kP;sPJf7Jezo!ZRHI>oS?fn*g3m6v!Q~!LZ8rR3E6ClZh14(d8 zkrNgjk@%d$Y`?`Z#mBQ!LCNy_-7Ca@5VHd`dJt%WtTt|J4}T(^us8R2Vu0U2lrUZF zZtjY}1ZD4wdMa?YWh9MTU7-JTpPeF}d50t=UFWKchkPyP-#VJh{7A7Xf8$#x9NZyiOGIx1Ll zyb9z3aMDcg_i>j zTz&k<^a-)^h`ZF<^xeB1qOU_G!S%l(M65tA3@YrROrfsdTo(j`q z^Wl4Ytz!*9m*%Er5AFE{y)eTyJ1EwJ!)2#{SiyEeW$jvg)kj$cBvQDHOQ+&baR)6f zze?io@5436(PwAP+fVGWTQ|Msfa=@vA3Q-NpH&RzrB&wKKh!~oS>07=9(J7DLSZ

2fh4)ev) zrTaglQNKJzSQh7C#T8)!r#5qjymm4V<^DmEXU3PGuvr4;Z}Pv_hAGZRkA57I0E#rV6Wv}og# zSc}J6SNw6Osw6MVwRZYn7?*OA-#EqF4WJN4 zXfDywL7SNIdOxKe7d@Bka0@1EtOec6)FxGAoivBLWPp8VA-Mis!JDl(ctQJZ7b|{<>LhStAVx8jgkS5tq@7=xqtuYjkj1c^e2M~q z6{Tix(VHtDuEA1V4h?zmpe>x!mvZQXp5^jAw>m9Aq?Yj~a_};Zbi}vdV~14Grs*W5 zHtjRkXih%+&p1c|a$PcqNiQw1i3fk{|A90uDJh?}KuQT6FDc45TBpE41m!a%Km8^% z{lmLS55<0VkfrWh4_bxWOf5}z5UlVkhl7nS5;>Y6%C!(k+#BOAMI*UZN4!b2hI!=M ztM?IFV;UfysSq!96-RxS&fbFECrYi|CF^+?WR3&*W?10c7r_D`lT1{^A(hId_Es4X z3<)NQ9{dId(@kHU>lvl+3ig@)^EJI9M^n25v6JZYdsCJg9=eE0RABw?1rx8m;7480_w~zwW==NO zf=C~%5jZh+O6m5c&v^i?;>P`=Vc*$!mzbIi2sQs1+BdGacV}?^tuqmZnwJDfd~)6g zb>$wP7+cVX%|5%NVtyD+S5}L~vQ>~?in&Mz;Suv;t$P^j+NMV=E{t8Od_EpdT6l@2 zDf>Jb=Gj@*;CzA<)k0OCtBLfD0Rz_Q#Ft9GR6&2B>B?N^<8?C>4Y(d}(0!gW<&Tf- zQ~etdQGs_hnCZw#Vfq2$#Jf&MJsi9)ut9b0iy|W*od@yOG2cOG)&1 zd>@|B5)eYwJ8Q%D4L>smm=QQx`56vUrq8Tw2a!QWk$f!1?f7;-z#b1o7IYXQ!0yOk z8m&+&BjbJ=N=Z?tqUMUN*!G^Dg!>2cUSBbe1i;QRju{?7>B$Oj-V)@dm1J5=o+9jf zc@ndJ=Qj59JrlGY6wy)ZDCgu(rTItvTxX?YqC`~tr116c$&a355d}(cfJ@Ij23n9N5@D??l-9%C=DQ zBe~ATg9L^BEW_2d)~uMCun@)6Gf-NLqjV%NReK*)x-tP~ioUF|nX#~U?lv%iXBJ;VqeRpBlRd-$&8@~yN`PnUq6 z)^&s9Xa)$B>}?daA0x|*HBr}X%op4?m6hCQZQ)E{pf*F$R1|7wNN+ojmF2XYxvldBHE2 zJUN@q|E1U=mOoI<%*f&1kmA@tCG$m;U%P0KSeh8dRY={prC(7$PxcV!-E1js|w|$YT5OQIIk)#Yf zV&zbi(3c9Vk@Nu3{kGSbe^OWoV5DHgYVpqsPi4$8(~?d8>At z2=qjH6oohfI7W=b-b^XiEVGgqHHEJ)m>oA962$yFk-!?V5OG4*IFyBSTwc{a(sT@2co0i6hW=eElc6hOr0a(WzP~6gM`>Nhij=v>t{$@w>uV1C_xdnwdFx*LtJE6VZh-@oj+fpB&9dW zbiB1*` z+<8CE=`Cif{s~DGzp5M-#M^kQ*97~U__T}&1;q{+JRI{H;octUa6mbgUS149fZO~J z<5d&L18@G*IBxRKQZNmrirpwPwbO)NBTfT#^gymPjym_9*&VWXd-VQ3~i%L%OuFED6uNCiG)4NYpQu03djbxaLKG`)jmBeXho}B zzCs2G64WOD+KoI==JwiV^93h@J(y1X_A6|#u^(7zh{${*t6XvBY7a z*ymq&$)60wKHLs{xr=P)hbvS<2ac?38WVjO|75c)THC&fm(=(Fo`YXq&?QS*CNJj1 z#{|OZ)o7UxQ(qKHV>Bpzty1R)Nle{|WroOgZx$5xS+D`+L=tQ6XM^EzoY+dXDrwdj zLH|6l#yuj71_#y&QrFX!Z0o zZcQ(fnme=8^4v9;H9DZwgp@`79QpG1xN4At4SYeK8ueX{ZLt*DNyz3a?<#U$`6C#M zuf6TrfzoVjj00txfkVGA|LKXsHS+-jm>0$ff8Dou zR3i?II1CP@8w*H2{N$LtSAS)AK){$C4mu=wz9>=)Ut-onnTQ3aRME<|V}8hW#l6@H zllj-i?FZ)lH*k>k!-5mp==rcqr%M+@E}O=qf~b!i7&4a}t|P!_fkV4ja;PuN#1xAg z;Zl8{OB})nM5yt%2JZOdhFM|&{SNE3JCuStw@UE&%GBKg0v-gHd2CAM^T+TnuOUnR z;FA+uJ2RD%!Zt+dn7?sJNS9czIMxpe)77(MIiz_Rlc1; zzC${5rYS9qVLB4%WHchNAHp2(qY`D_#E7VX0^paAUJu|4Vx7-=t4nOlWgLoFZ>m7_ z*Ao?0V2h0b@V9~4xSV{ZG!-0gUn+x6zq^y^%gu5RFN&_yJq#g8a1iSgkikhz_NeNPJzOQxq=NrERu-jp zVvP?2GT+s+BWT`f(rM%@cjs1`NPRs|nJ_`nbJ?vASLsjBmqQt^9sV#O7R6G@?ch5Y z4@~O*v*l!Fz0 z9XSm06t9*i9e5*!f_O@Q^T)A>11xbVl4HDSNu|}VXN8F7Y%hYF3x#s%&%&WiQWtk( zwO~|FkxdEzoeiydGgquWscKyBMzC>vKKQQXPz%WKSX1q}et^wLf zJa{BaldsIN80e=b^J4g(WYZBv1ry;?|(^r$CgW3*yy5s zll4(xU_MBzZtN#ML4KPYMT{51A=FtEe9SP6>lC++0jdNQc!<6x&S%Sc??Q046jSvn zCO^K&zbU&dB>6>zQbNKQ4So+`{;TUL-35!KDCTf=hPrk}v9BqAF-BUkqXg%b z?yZ^rzcSmPy8MiPA8hNzgf4Qz!%Pe?APV;|r}%-eJ7`vsWlLi};_ol+S_&!CNO#x+ z#H)6ZFsOw!8JSc-dC(o(9=}t*nUPjK!)uJ!TIoA3k?Nn=-Rb^@X7e(ls2nwxz{D@j0h4Gx!02Ie85t3ar6HZI@pi z;dm`?fA$gZHO+j)P?HzZ<@J3*-maO<(v^U$N$GOaJu@Cs~=fGFg+%y60Z9Xpw-U zQzfFRW3WKcR-t23L}a^0SFXQs6o4Zr=gQ#Lle$bK%tCbsUOAKRg+Rb2e8O)%qYR5v znE)5JJDixn{bouT)t?zJ$F`69XPtj?`NlajA$%InRk45(PukCGSL%sTxF6Y2LE9I& zHV8#`EwfRZ!{LTR=)dwo#Kq!nN9KGbhYWO8QBR~HTmbvRGQ`S+vQZ+IXr?P0z)vwh zaSGs+=k=QsEpek+4s~)onyMD;RcnnBA~R$Q1>U~6;rM@0N@xJ-LG2cn7^}ZB zRw2X!;%o~u5J1aUlxEgRI$HyY*!l|GX+UJ+5A`(9Ct>cGzkEU|P_L40Td%vU66i7Y z$7s$1)|;1O;>wrlzKzOI92hveJM-UZ{;cjj8u`(eG?q+`4ajt397>QmoVa=QXy$H+ z`gEw44Hkw|U_8V=hr7{G(E~Kx6qom~2ZOCJ3*q{73!-_X_1Ai;Ka3{{YC^*HS|b4G zNH>)LF`wpv5gR@<*D!FvPKa1x)%4PEX!NcCjzbop^SI`y;D9MLtjYZWHG{W&Bw$SO zlsLdVMR)Gq?79mH@Dx>Vk0!V&by0_fQfbvwSQct(CO;51v~-NMjfQua0~oHh|5&-i zesXl>n1M)J8dgrbZ^dBObvtT?Ho`F3eQo5Q8lj8F8>SWjT> z)f7e7T$QsrOr6Wv10KeW%5f$hpnBH*oyIwT&Q&lcBs6FyZY))nv+PTgC^I*UQx0Lm z2jVz*J}&!QGgYk%Xn1nkh~2tMNQtulD(J;GCAj%LnhT88+Se-PluIAs;D(kJe6Fd@ zuj9<5KJ!jqENd8O?*?W?Vo>7(5FaJ)NW_D8!M~(Oz+&+5(ZY%+yDavJ3 zUfhNp6Pa=Hl#h3%m#?~u4~Ld9GkCFvkVHl1zz%+L))~m7YnAX z6GDfu(g_zux(}w5+5kqLYqho{XKO;@wTT&Ph3a)AbcjB0!eq;xS(DVQ@p& zj0JXCbX-J(S2Wnoex5*l116UXj}!QYVpG_FBibl@)U>Y?r_nSe4LedC*+-umYW23w zXTkx@POy-T<`wk+&2uV#Yts9grYnEL;*G$BZQAXNxzG#;48VO~DbzapbgLE7BqV3J zueQ$3vF4&GgFjNe^#GHF1E^3=movEBV-!}xeQ?>G_$UY;hx%05=7Slwd9?=9P6Pbf zxtddvl5?KwGpVO);2?drj$+596GZ>$(S2;tn}rB?tl|rD9&*pdjG9u<1+Ei)&pY&0 zk{i9Aw6JG;h8&Or4FfpdMf+K26r_-B%~rvb|V?9SU3PwloGrk`=HF}ZXRJ&?tN?~k5Vf3i`i27buN z212KtE)tm16%m#o$52m@5D}|gNffA6Sc7CiW9T*(26!0Q_J+1lvN~)T86X#D$&o#w zX>E~d^H_e>Vw(+NEe3XjZ0CNH9Wkyj%k6F2G}FQjidx(+zZU$_i4S~TL1hLQEU!?c z%z2nSKB@&yECi+FJdcgA?5k_=zme5-u~Y{EMRZ%d2MC*K?SiG+N3yH7<`2_B(Wb?- zCfN3(H`R@l0F``-r-g)iWAZ!_T{uU>McB7QUwLA`s&SZmk~*z#RX`qB-i>Fh1Fisn z+p$fV+{a%8^d<8oTC`D*zI7p&l%YWLKMfVx_?>)c>IF{ipL~y}4gPtt02a33A-r`4 z#qS9~po<$z>wbULGPE*JN^kEx!ZYf;B$jG!EX%!%Sh)nQa8zaT6)0R0E4bLhl6A4;L-YCM55Em^sr#f01Nu z=h0b(Ve>W4mZ)U~zgaJ;ce6CooR*hTbTk+vK zwY1S#%YlGzpKhUa7ic6wpu{j*DTU0e*esU7ltt8o+iX86x+{7> zOcEA1n8vnv(gde6Frud)R2`@Qz_)N`^TFV7>%8XC^5 zV1Sqjq;zmdb5vzO(GAC@zqcIi)#%wEDi=n&x#p_W4>}Ga0C)}vFcXWic?HDxXl)ox zSc?MmpwH(Szw|Pq_tq)rO95o0Thxu!iR26CbWwWRSFIg;>8_6Zjf%zHkUawwIxGPD zgk-#EQbHJ^2+Zy}&!_*@L;Z6=WU}~JfmTCik^%}~_Fnh+Jk~LRVNd@>bdFI%erF|1 zSOep-cXnKJOB#g)2(3w6$I#ZYi;tG8!rEAe`g^_py@)x%rE`RL&g)&H1n3Y{9^kcm zzOB?yj2N^MANOczey3hS{&daw9)gGSgBXw@6cTYbiYb>LbC(ywe^}DuQI`H#pja~0 zrjcl_99<67&d}hhwqmF;DRFftuqoE9cTMO)$jcPKlR6_))!=(3 zE;j9KvCl3M)`Lq#P%n|#{UNR z?7j*GkbD)G5?ngVt%Rj$;UdN~gko9@Np^G11tB8orys=V24&|eqMo<4$%$3> z6>d?+7StTKbrfK804_lfGLRDfrsC?fJA?I@OQLZfrtMpo!V(QI))j9}4oG~HQ4X`& zpA&G8e~guE4O~BrnVIa*VD_rn$nT=O{t8Ukx_~^FdZs@g1pe+Y?($p9|J*+h{gsf< zd7}wiZWRgmw?DJjR^tvQ^jcJ%M_S#SFl$c`pE?W{cX#?+DFQBqdTH+b@_d za6XA_tkwO2Qx2?!1dyw*SF?PkBRzc^oLC?|(mob2(co4%*J&Ocea;7*X=F=mn678I~g)eZDOaE1G~Vpv#qolK`k7?iCu=CgHKnV%fq~LK5(sQ4HeR{&8tu@E4b)5W zgAyq3VQOE*w7M5dqb_78eg|^96FnH#3>_F<^>Rf5wy9FBB0FZaMt&Sc|d4IMd9}P}IGjf7_&? z+(nTATu(CP#f6gtJQtNmniI>)h$~m#FIY~wHNQxfZa6OdXV-8s1{9o70h(D@_t`^{ zZ_1Pm=7C_lpe))YHyahP{v@2}5JPsVTwsn4=y=29X4p&qe8E@9HCNrAk3u zkm?Nn!wRI0!{K+XUyZW~4693V6G3-ohme`o|BY0sp@JQQ7W# znoe_N$yCqfDu6}K9wnvFYd<2rMBffv^j=%m0~Tw>l7HN;jdfCK8Z;JHDxbNo=efHA zCGKVKO)A9*5`b#nlqJfc)1_g$zndq<<98zaf=6U@56qDSuenm&nUsJK80}}KE??Oo zKf3Q~z`1h1_-XDoLyR2WZH)~7Q%(w7jUg8%u3{IBD}xbT}9YaG>7^=XR) z@G8=%X~HA~?*YSJr6j2@K>T0U(>OY zPK-^HSrGa?0wE%5)Z!Y_4g|xAX*&|0P{WP*`3Af3#^Z;(oXT|(@=#`-(^^J1t(bp7 zuqFx(9pwVveA%6rGfcGhWI|y=sGDCLy8gZSiOdJtUp@hRF zwt2`K;(fHW68%FiDT==VEhDPQYSsS29|Olv&#YUI%Vc70Xpb;kU1i5CU89wlqNuK& zKE9&9`aax|YE~Sis766GG#g$O>gw$-ffE8t2xMT16S;J%J@wf^{N`Fi3*!83^ouK> zj7y}+F~^WvR4A)ji@&7I&iaU+MjD=$U+Iv_cHNiG-^np#M9P}(y))E}@G`i{jTSH- zNon}*LjJXFDk~}<_Ar)``{oNF7bIZtsl=~JFkx{;Of9-~5C+p~%2)Ef@?rCeY3#O+ zx}FLYZYGI)}Y9;I*kTRu(AK^s)~W;%fiGp4Uv-S=Ssv;eF; zX6s!2g1uX8g@(SPB()cK@cFa6`ZE%~(r{w4d5bnB8Z7qcG+p4cxE zVZqwF#%EswK+vU^)dlh^siMrG$M-uSnbHAH5c~-f1d12wnEq1>B1wZ0Wfs?hlvhwX zCQM_~?XsVU*#}W9cMR@UjCoLi-_qf=&E01ABR>ysgsDjD@(6f9-eAunml(`Ty-y{{ z=o!g7=G*;CW{rDpJ@5DVzUj7_)o9iM$X2Bvwh`@12c_KB#g6@Zk5@}lm>92 z_|<;i`%39-*a70v1HZjrt5}Ld2N_8!GG4UVxao)g8e(~<3eM5FxA`EPs)&cz^;k^t z*IO*MCnqkL?M~R>_CllP_hgPvSy#B2>S+!B>@^|-OkdrH0^TIXzh}tPc^tbf7~IM` zLhA5WzqqBxE4CXE$bCZoa-6suj?VPgA#~9$jO+et+M%<$a>WkMjrE0Tz$Jf!_LPs5 zRzXWkZ&4X&^PXke-B_vIwwEMi%=Pqk2r)p0ilBAj5thnaROwpxe!{3K95sxGA(Nj_ zK{$Bq?qYIV`Kez1CWhg}(1VnoFn3IIX4m%ijKg%wae7gDv=jtTd&*`ZFp?;!oLCdn zSSPF^>|EwX>b^}DYA18|%Ik}+I~;^l_JqQSD9w<{o15Nh|F=_U4ti>N1!nd?UkL(( zm`3nlS6be6!zyZ+I-sLpGvu-k9X3(@^t9h)9a0UcwY?&CW+%6Y;H%j*j(Xy{b za~oz4g;8e&GxR5~ed0ZYzeTe-RoPlk+d=TT1@@jo{8zjK4+%(&uhZ*Vy&yb6mK!l9 zy|$|0c+Fi>6H;7>p(oMWG{_jm$Z&)wq@`sR!^3P%3tPd*=>47Z$6s#rlb^om%UM`p{g zNhYq@S=$*h#g0J&x|(6sl>6-G!_zoHtcq;DW`0u*DLW611GpjgW2~l3ecm`Yd!N;9 zn*uH=14>#r@-!z@>k3?faaH%mP3jRO5TwacqD}MgIXlZmHYMr{g>C9xX-ip*J-g4c z1#!6x?3xMf6+0;(hZ=dzz_)Yz&&r4>NXKA9?8x$|NVzZuR#3$jXdkMOClQXKjx2Jd zD49Ozt)H*O&w>$%9CcuXfb}|hm8G1yLwrhuQL4-R#EoP`9e~ECp{?I zc5XmYc!P{m2&*1yIAfDDadqKoQb&C!A+OC{DoEs#aSO{gP7>CFM3siq)BN1L7WF2STCut(--i8g@xhmygwIW;k(s@J5TNbq+DPS|?%(LCc>mZ?9iZ6wiZWgOv9OFhH zB#JhH%HqYY6Vur7tqYle@R*;`(?Wc~t1c;;_tQE?mE0GqR zpU82OEdhyqqvMolo>MXdh<`fF3{S{zEei;4@IS}1@G36AfKpPjU=s#;Z)$nmy|3-m zQwkJEqfT=6 zEATa@aXixkC+YLGeB?2zMbwYq9^xvvrSeB0+b0Oj-V<5l6-!SM=MOmP_xW4t?v_`O zHOiAVB}wFkQ#5?0I({}CEl0_vg*HMS{OK0&gb0|SrS~%51DY3x+H)vfOaw%I89hrM zBf^O)%;xSg1@OY?pNA8zj^w>~q<^C{gc<7V27pSos&~V241`}Wx5DDTZnR3Clt-;} zt3MIio#GBhG?gmF@4$~uuDSrfwpjA5mNNq4kChsEkC#z>Z?8}yjZF>8Tj3y8WtvG4 z(V*Ic7D|gsrwqxqT5;sRc?Da+>D<~~J_}X(=SXGSlJOgsJ1VeDR3bvj$osM-IjCZcE%8_2m}GILPEzSOg01W&Q5H0%5P zdOcc75yBd6v0+vsA_z3?PN%S;<&~;9RrNrBK&iM(EOrWjf$dGDn~StZYQ0$Jj^^0N zM}X_JBaoiK1s$T;wi32M`Cf<(M2x8wM`^aUZs|}EmqtE&KMiHffn$D9>-NQ@XBe+Y z^8IyxUx^$R{*{#?9uL_ai{jQ{u#Q_hiy~od+PxiHqy6)O7i2euRvbocdSR-Eew*;8 z&3)Rc)X?s%EOmN6A`!gc)aSjT4SRNGYqZ>X|9iczLxb@``O@lZ-pSIx4FJiu)ooAWMcm-WdF6ecp z%Y*peW0*77tl(1TVI&i<=sB6a7N*#>osPVEmPNen8j^rU@@C8OuO0Fx8YG!q>42zWYoe4Cp z30YZXt~QOuj!|rm^>z0Vgn`&;`0iqDaKhQwFEC=%ho!?{&vTFeq^cp$q+)^+BdN(03YRW6mt6-A;3iWF7m+ zd?cKVbKD35obO0$ zzi)!O9cvdaO8k&LAfj8*b)2%jLo8-qWP^2Plb*9cF0{s?_>t!$U$S&V$VYUAHUA%z zdCUehxqolGD?p~ty~S%Bzz00}7ok)C42$|?cqRt^I%IRQ5AQ6Nn7~quE0o2OL|XL| zY`QURa(&U*D1h9%T82QJQ3=MO z>(Jo>Q%{`M<@Xp5&*&VxNGO2c>zmUiJ_<(Jg)AeqXB1ufUuwcw!)Ov)D1!x?xThO`gmt&4 z4SSKdb07$OAt;|DH%l-T7F#kU`M^3jxo;`4Y%=tmLC|OF^O4jBwlF$is{Jc*{fPvo z!)5D0-pG1`^yE+I3~P6}m;k3RTcksG&xZ~hHY9eF5>{gv)ND}IjVV}X zv@|=KmE`5*e)BZY?d5Q744QfKlbzguRK@!}t`9A?k%T4{{Oh>Q(EG8?5!g|^D`QHF zmR+y6)YA8&Q*y9D9l>Ok1)o8l=+Ht5=v55KBt4~Gp)<={nuB08p zUqM2&&DCEmOn4)Fl&fIp%{+qGO7em~@E+l-aI!DH+hDP`6d_E^6S;!%j!6@G85jN$ z>A#w7jA0LPx{ESxbcYzU6*U=C4MZh%mUx9Zjbxkpk(`|~1ugACoE34f@Y*sGV*!a* z^j2t_3&TC;cL_4$NBsi)mRgJ>eX?Q0hJ3ily0iVAJ9BFR9%hL?AUf#Ka19oRhExY>3W%Fl%v z954YT$Sg{GHpCu;6YjdQDt_ZcDYsOZw|-WrhsKX!tWa59 z=gO<>#7q4e_2-b}Wrx$VPc6JdY)#wvds$0UC#0Jmb`waHc!8^ZrF1IT{&UB*c$>a*U%;L@Ztf07b6erR z4ovW$-u*&neP{Q=u27VM`)=C)wG*j|04vL=T4^|Hq(FUq(os0xi`m+GBK5xTG`D|A zZNOyBhM5XA=Lk(cTmZV?vkTbwDw;>x8g5UUwo>~o2D{09!-vfvPx{m(BjHQbr7@^t z0@|E&##(Sap~cJ5f=9`anuLM1&RA!Nb(I&|B^HXDwYas=j3LysZOAPRi{SfIm()QH z3;bUp{@2%w|0e$<@E?Ky*91OA`6GUSmtEmM@yJ|;4P$V)aIC;_-R5471kqa&X|Of*yxF~GF4~qf#wMY R?g<7!K}SJ^!}=HKe*hIHmS6w? diff --git a/crates/jolt-verifier/fuzz/fixtures/zk-muldiv-bundle.bin b/crates/jolt-verifier/fuzz/fixtures/zk-muldiv-bundle.bin index c8b8e2d1562171aa6cc192676bf4d90b18c8b33f..799d0ed9558b0e8e962e0aa70ad238b892bcf43e 100644 GIT binary patch literal 184029 zcmagH4Tzo9miKw;occJaI`xs5DsyrxNsR{k#G9L&aS9bDcnc@^1}Auf1YeP0S4*(d zcChPp5(!@M7Pd%`poJ|?@aAe!Mz1)*4vsh?Vh3C7-~>B3K}3QbLXaS0XB=^SJ*(@^ z|NmcWKWA6fsd=mWN`7mtz1RN!diL|2QnNIK|1YJ#9>c$;OQnuVvowi+R;&};QIP=u zEcIB`4a!a0!JtNia;c*{f8nP;>#qay`0Fynoz$-VbEfXG)gD_%vowJqBesU-9i@(r z=FTz%JvQnF-ObXN4DjFSj_y)NWB!Zpm$)0Yjc(p(&Ng6PHT-uP(bY=LG5GDc)~=_Z zx1+D43;NQvwuRi)QFHFH8^ooKt^ug~?M7FZO3fdy{iN`LzzuMLs2&XLpAbG2IIvataNyvW@R7iwA>pHeD?uoL$APT^ zc!J6<6u_%V~*?9 zZX1Re7}bW-E@_WD_LnAvuR9KuwhB);4wlA*Cmn~>F&g%^qwt_*YrMza(}cK^uW{_El&b=%5{?V+C(Qdn=Xx;N0lg#4e=( z7a3qBbH`YYSz-i$|88dnfI+2HddUUd9V)HKd!701ax3c?+{lox8cK=v#%C7XS z?7r*U;-Z)JDZ4f5>f7Rc_OB8paaS4EookYZ$ab$DFqI6_qI z#$=IA2e4j4H8b8Up*5iSV^oDbMv!KMg1U`Sz%dYnF<~Qdr4zJ`q#crWbJ7y)wl!(T zq#aLMV%=^|+O5)VOIl*xCX#kS+U-e8tlN&H-6ieLq$SpESJF;OyE|!#b-O2Nr=;DJ zw8XkiChfGedy|$}w|z-FBklgACDv^!X=kN9khH|Q9ZK4h(ms~7#JZsxyqr%-`()A* z>vlM4&q{kFX^C~4N!kn2KA*J2x*bj0E7BfIT4LR1leSsnXwk6aN$-NXyUOHIm~e}a3JVG9cDk_GCV zi*tpA1a3b-PelOuNOU!a{<&T`nwU+~V89LV~(oDJ*8);)lXQg1Y@w zSe$eVD=Z|a8~UTShvq4_=%j!>&jod>78YmSqE=W)P`9DN;(}YOE-WOd+nU1Sid&2p z77|o!EG+tbgs9j?S(G|fCIJSD7-C8>gD|T2>$S~Nb40nCBTB`#Qou217Fe_Kq{mE- z_INWfjW>1M7T7Z+?L^?{m~eaGx~;+;f$JxPSkWq~SaawR*zL{cOQ$LY6+Ckl$l~Y(h?)CS-9wAxn@? z$hig5@h9^rS`+dIk*1iCPlZQK$X)g!k@@lU)W^h>pI7XY2%FYZiBo>Wt^B-VpGNEm zfLQ)maLSMLt^B;~26=vR3*_guh@zFB&mv8+o;nvEwVuLqn8^IFb64$4BJi2hZJ{|?Hh70SUZp|`%d~Ii{BHO#f{3~kD+aJ_=-RAruoI|Y2N`zpJ(`IM!*br zFxF$1xJ?8o(r(x11)u;b03?As0tv!G1>jMl0GI@f6!Vehz9nf?k1SO@MJwB@%T#M% zS)4g|Ysz;5HGc zxMbfdu9rQ4iVI0#ape~9`C3GY;;MLYt&TMJElHz_Ya~*%vb}l@)he#VhY%{RwGnv? zaO;VwxQ^R3p>6cAxSlO|)BNJ~ytgjdw~FhyUB?JmTs@5S*@D|dpyHB!tGH%8fQk!A zU~%OZD4#z?lqjwqFRtq&&3#MKsN&ijDO%ZHy@hHO*Ww&1^j4}_aB0UfE_<#oun^G- zf}27wLRM&#r}#J(bFH%PlZX^GfZB<-)I-I=sR>?@M?H`4A-S|aupN&8!A_arS5 z`--IfOKJBeEfM>Qr2RW-_a`k8`--Ify|f3CmWX{t(mpHgV@XTIz9MN~miEb{C1PKZ zwErmWk)$PJUy-!`B<=G_OT@k+Y5!H)V@XTIz9MP=P1@s0OT?ZcY5!f?6G=?aC~zjKRk3kwObpC~MT?-oB477}1TQCK|d z7FJkDfc->g^or)oZqZ4B_7f6dKT%lxqg&Jp3kk5FC@lWTEmjv65@0`3Sp2J7j20FW z;5?zQ_&2xMSXfAaGljz9-`!$!VIcv|6$*<#yTy26Awk7%4vW6|HhYqaZIgYeV`Y2w z1l1aX+Jx@4?NW2Zi5<-j3OFXsqAk{JXVRYrV$>jVJbGEUJFw?j;XQ$)zZdQaT=#dv z$-wo0Dcl>l;kUwlf&IS`?hhRJwQwqMaD(tb;LsqjVTXvU{+ET1IrfyE6;3;jmVPgM z(s5ns?}UdP*O&fMc*Jo->9@ie$Nti9gwHz;lzuHd>Nr^1AUx(cq|v!zvqbJ_=G*L9 zDt27fthcu6*Qr*$wNdxl38_(U{|8)m*~zeOyW<(Rx2eXK2KF+4H%0C{p7%l>JDv}O z#ia8gF-_EOIasf34e8s+rxYK$wahv6$%0v2AdAwrZh4-}HOxz{{m521L@_5-J z$k&^>1$@31E?Vo&?<392tT%s%6t!J%cG-_qvpl#Qs@l&)mPhmNaU_f#*?h#FHY|zT z>^D>*(zi-v&dObgG25^tZWDn@MEX{VyyOw6L}J5|Tfpb5;Q}S14au9B)HbY#`DP$TOZ~;*yxzE zF(SLyYTxZ8-n81+-{QQmHl_fpJV4@2t2}_10eVVEFsi4K0t|V8#G8gZfS3VBBf#bq zV88<;-ZbC=#0;=50&GnIY91i*rkV#3Gr;-?FrEVRdVs{6dOd)c0X9T{n^SH)+I&>sP|r2yR?An~Sd40(5$S#G5)jfS3UWBf$0)pzHw>Zz_8LF#`-m zfE_77JjqL(4lcwDfS!Pg>#>~(&}wG87`*i$cDJzgAoiY6N3*(@*sErRc6-bcqgkm7 ziRlbILQerD=*B4pEVL`jE!2fP3Itf~?drbdVimi_F-wewC>P?~g#l#_MHjh+TzC|4QF9j$B^SN! zA~8CYT!?cQ5^SIgbV0hvE#$(ZfD1f>WG)^~E~@S#F}k2!h;tVb^wR}8EnVama^X?H z1%^txcqF;#b{C1!Y2`wkyO3ajF3`>CBDatWj{+|6;FT^OO)fg!MPhVwxe(_rBp9R% z3=DLUTgZh+0T-R_;_>97>@E^xV2}%O?m~hgy1-CE7rBL8cocAfBOB)8iR1#a4qH^> zbfhWHT}ZH!F5($~ZXp*Q1zc$G8L_A6B2AEUc9_U%Dh98_Y48%$W4eZLWKj|mrzDE= zBubzGD3X|4D2X0LD~U6C5-au`k>lkE{?lvE6LpW{Y8G0>jwXF`0`-7x)iDYapWaxVAI_9PrUTax=;*aVjfuURDz1WtCf~tUQWV zS$!30in6*89;2)-5|=Bhid~|bGkv?F?6z)#>*{ zEMfXF{dJ%$e-t{wapraqlA_(hdWGo~{fv_%hyLDGnv*);VQqa{g=xbpd z`H*41j;;K6RwH6bhLXlu@_Xk|Jecr>;3GCf11!PZV1x5I82G~PT3bzn^&J}!0)Gu# zLtg2GqmWS|(>Er6W5mp#n9(JF8)=aF6Ei`{UxNmjzs+R&V}@{0L}dQ9%HKFK^C!;p zcQXw#f8soU+h~yan;_F4GgP4u=lMHKgUp{e&)*RmWd3Hz^v4X$oz@({LRuJ^LLy~f6Ne$!HLY@jQpJ-X8y!^{!Y>$^C!;p_cjeOfA5m%j~S}l z`$Xn%R{l;AGk@Yde;?5x^C!;pcbW#7zcXa|V}@{mPGtU0%HKI+=1-jG?+Y4a{=|9y z&eI_CcY#cQ%uwAf5t+YJ@^_h-`4i{)`<4coKXIPFD>TUb{XnKaW(ddbMCR|T{24Lx zC(iR%>VZM#Pn_qklLnc;Dw+P6p}N(G%-;q18zN@@#CiT!(;)LF&hxj12ARK6GW{__ zIIJf!e^=yhBQf(Q&hyuxLFP}K=WjC&GJjji^v4XsYMx6vT; zD9&>@L4(ZWb}~IOOBLHegvTEDSh1ZHV1CAZCrq@k*rfm^-gk1rZVI#BoF@OSngF)ILZUgQtaAS(cI zUgQtcAS-}J$SeTV zA8CrE;0xg~mV!r#%Pj?m?M0|jY>oNzOIil*l^j#lt$QXfDekyu0{tu*MVbJC;X zaCKL;*NCk>#~VZzUferL+~yP(8U2GvpBLtv5q-LMlDJI-oxFDXih`3`5b2{QmMW47$$*Jh2&x`&HBVap@D?f?bM4+OVJ}-I+@}kczRP-KYtLV>0 znwKg1&mu+36#Y4>mn-^;eNOfATc9tbMzVYhbe@Qo+qUex>_Vtx3v`K?ZGkS6Q5UfV z`j(h&fxaW7Vq**ReT2q!5d^~c`eW$V4FZ2>KNGX@Rh&;S^EAlDS8+bUl&dhv#@B8# z$5%S2TQ8C6Vcvgd1H{aqI3Lef(IE3D&d2i+8f5;~lIf2Q>b9N;f9v?T^>=m+G4m(R z^LHH$GJoPcf7jC>^S6aee{@i{8;H!`Z{+VrV&+er=kFF8Wd6i?{%)l~=I=H#{n0_) zZYMH-zm>l`h?zfep1(V3kognm`MZk-nZLWq^hXDEyO+rP{iXcfN6h?*^ZeaUgUp{e z&))+y$oxG>rawBU+e1X=@9*UAVPfV_oagTm8f5;&dHx=yLFVsqGX2p(-JT#af4`T% zr-+$9ah|`YX^{C7=lOev2ARL-$n-}Cb$fxx{5>mwFA_6<;yiyZ(IE3D&hs}%gUsJ+ zWcs6ny1hYU{$7^9H;I`)ah|`oXps36=lOew2ARM2$n-}Cb^CzG{QaZ+eMrpwiSzt@ zOoPmyIM3fFG|2pYN~S+LsM}{m=I@{6?{i}2Pn_rPOB!VU#CiU{qCw{GBANc^pl)9i znZJLPzi)_{KXIPF?`V+u6X*H+o(7q}AIbDb2X*_I$o&1A{LK?Hf8soU~`CCQI{E74YjnE+TC(iS?mIj%>^#Oeo6--y}zKXIEiBvw9uaQl1_`Y0pF7NLpTM4&~e^!XxGf_xF0Tfpb5=25m5 zp^rzJmsx~PM~aqNgg!y_a*NPmdlG7`|1T_QmK}IN#=s~(J#g=_!)}cC;Kxw!BX%Uz z9nHOL2t78l$N+B(D}2ZN>r3Bq>anA4uD2vd>==#t^r?wglJv03)pB08<5ctM(<&%& zZ2ua06}muEFI{2M3IQHx`5D5S6kvh95vy1}2Y8DN2Y(^1+dC0p!&bzI%?=S~!duN271@_GfKM$;(6n+`le@ggO;J{ho#lXP} z!mk5|t_Z&gjDwcCeHVhO^eq9T`}+{AZf<2xu$T|QaC5>1KZjtXxyuFfA-K9Z>4I`E ziUwu9ra9$;?hw?Q(=O-@!P@4G3kE{)i{`8gR)t`+dC~T}_(s4MxKd{$vB)(3t&+%%Vy*6yW;~E`}Hf+kVu9M4#9dKN$ zgGJnSb^L`+{p$7@5o0Gi7n;#@V5b-FlYt#$(jE@1Y!w~}tWK!!J`=ct`Nfs_z*Unn zem?N3DdEw;)ziXbfx|Px*}#!m;qkz$PYPcTTysizBCvi|crtM91>xI)zqlfNH?UW` zV2puGL%$CK^*&U^P6gJe?XeGm_(%7ADF#}$srVbQk7=x-?<2-m zw@)a*)uw(B3g}E=Z3tMlPl;G+xa+c=b?!&)$k}ILIs>8Ieon0-FLgptw=XF`Qt??9(2(V&4lj^4*X>Iw zFSSc~S!#qptj#YLAV7KE6b`)UMaTU7}u-EY_b~0eiaW%UjaKKR=6gcEKqU1Jg zmE+ay+|aIeT*Iyp9C572z_7+~t%i+?treC!s@_7&HcA0nO~+Lw1TWiq=RTh^yKIb% zl_1Y)QHC2`-P^I6=KXdZxeqO~iT5vg)_gq$XbV0>9xFJVHA~Oc&59D+bJeymzzW9D z$6+}!VBU`1tIkZ=&#{}C#u*T<=QJa7OA=eu0PbtiHnyiIr0yu0t z+@LWDtAln2m31_lF%$!GcqjQPjMD5GX!>`NF@{B3-yNu)(6GCSRg?yI8F+u$ag{bX zcz@Y(t@c>}m2ykN9bwPcZ|al##!Kwu%836v%2yYN$^Qb`=|mD5E~t5LusW zfc-W~WPLu1TvTkm5M2aHRQ^~pX609HV=~?d?VMdl%vx*Wlsj>ryX#Yc$X();J23;K zKD~tj7UXWLBzPXfNfOmP9#KZ_ZX_~yW6<{7Ekx$-kg~HaX(ynq+CbdlP>wIK4L^JyY*P7$#T-$R}7bCs;lq0kYlv0@Ah zw5>lyln9^~D_^nulgodh%Rd&pY5wN6E@j_x`LYM7(dECm%iIDkUyCT=@?Y4xU$F<0 z%YSy4i8sw}YwJ?_+@%ElbotNjGPjURj}k8bnJ#hQ7A}`rsyswB>Ws#igr|s_!+SW< z4%-0;SbhA@L3@O1bk$lksY7D40rkyS?9tGtCY3lfDKYco-Mz~mX8^YE33%(bCx~o7 zzlS>Y-zfv|2*(HQGVZdUN=!l#K>p}8;lr~qQb$oY)NU94_qoQscGJm=i+ zdBN2-GN#pzEAsY2VD*CVXyA&o!WRQqoe~}kyy~RzrNGs*!r4IXVv&!zz>#U;@xZI6 zgs%mznH0VrSl=alBajPX40k62@$E}gD0XmfQqbDLog_k`9y)Aq0YME6oe2DPQljRO ztapg5{J$F*`F}4k^8bEdE|bwwy1`klN$D{wuXJ~SdG2h7mh1<*aGdBj;p)~?YyH7YM}kf zadqtFE;tUyUhbmfNQu>kowMWBY3J;?rZgt)Wyd-Xmtg#j<67j1wf3zLefJcwY~K;l zL46l^+^&!@<21&&pnA68O=Ilxe{g1x^tZT1?FR%vOf{|_x8i@D_7kHRLX_;}T!OfZ z*jQF=p3L`jn)|z8aL~&A41nE{b{|MJ8e<2x8{L$1i@67)iuDqq>ze@f+5qt?tYeyb z=ci(;LeGm=7@AhQ9&UDXds((M6s(HD2Rtf!NHo9A*?KbOuC#$o?6dQX>zQ?5j8*KK z2++?C@GIL$gsyLXdP!p`-DHiV=0I7t&BXP{o|4;dTND|}Yy;H8b^{QxHkxaY_>Na> zoNCs~X4cCe3*NNZ>qYuj;;MEt189G)-F4ZvQNZjoyC}{HGU6WaBUQ}z62N2-dNhsO zo$=isGH&uk0G$^M+Z{m28|W%f?xYd}#|q|d+;$1!jB&x)ZZao=c31ev?QW`9;MzRn zM&aB`Mr59ps_k*Em3G5f)$St>A|tzCjkn^2t%^&WDo)I@!Nh?8E9?OV;Qsf20Cw4f zLbz+rQ(v=(TtC1EL8UGBaG}3I{Y~~r5_nZU>gI!pUuE%FQez2@S?O^g{?V8}zNA^8 z;HGKJg6l+JOkv6R=u%^RZI;ITkdiJJzG6?4*(w^|DiUwPy(jioF>~(oXU(2rfc3!U z6w{79cKB;Qp~+*hI+-yrtD+c>yvZ%W(hk0;4le@vXJRm{wx^c4Nu5g_{GJ4EOP+xN%!lG-cr z17aUql@ix)rxY2UOtL@XWgj9^t+AqN9}BS%+M!ZA9ooV9i%Y9*+CHILDOvo1A~f=j zPCFxgYVJ6*CHEjLF@kHvvTNr_v{pkiM}fI;LPBiDJN zdS}~_>q1g{NnIjh+2dt__iq##(#DdSwr_~&Y3r6elI5sAYTrQ*ubeQ-jBwPxcL|Rm z)B#8BN0$uJhFQe6ma#I4O$Dl$QGkVLmv>s6*$zN}LgqzMOe&p31Q^t$qFCU*Y*ooo zwyR+VJ2Z4X_^U0l8i>?$%I<}S7yksNmXmKo}14H-u#-bIIP6bwaUr?l&- z?dcdry8@5f7vy@ZKrLeo^RDg z!x<+RA70yFH#)CO@!cXuhn%N-6u-Xi!hf-0V$PsGo1|_f^DW-yUY2OpZlhow1U~^W zWe_o1q=)-E#7M6n(Uxte8z9H@fy)RUzNQCZ6}v0!yWRev-Aw_?qi2X2tk}I_pcBF_ z+e5_Vfm-tvyF%3_rAPMvUd4SsaTF!Orit`D;ObHDNcbug8I4E-H$EC3sJqyB87Htd zhRASnEKm^3lzZ-;|8KZ^LE+N?+i6G1{W!VSS_t!)^RO3or@ch(gI@iv)8@!E zu=-V}y++0m;)iZ!d&BLEz2OPxc*s_Zl=ADAtQaE??Kc_@I4F#BrT( zGdQz&!oQIjcE2$QT0RJ(Jid!qHAqa`6(aJ#+RbsXD9a~KwSJ%;6~M2n0)Glz!+p)D z84!uX=fcv=HctaS+-cLXu{OZ9DICal)bSV#f1TDzUIFHw9NVBOxffb)S@8lBaSe)K z0$4G8iwf50S1k0hts)|63JhND?Cl)e{}D2JJ#&Nw+8S5)mi_`bY-@q|M`H^A!K@!VKU}db zp;eWP+g2jlgqO*vjf0WKRjoq4krr6iu4-S%H&cz7dSJXblXV!u1EIxD;4%<+9qe6*V#^$`jX*QMNb}O_=EN+8KbGc zvt75xrH4J#X!B15jxuSO$%u$;piR|d*g72Q#&G9_(Qhx1k+ssVk$6m0t}YgU$HXYQb_+n*zm)7XQI&0uoGk#4 zI~NPU*TpEhWfp*MP+u$nU$GP9Y<5YUW*2d5cB$D(j{qCa|I2&M+Yv*ovEB)cX8`XK zQCV7JmF+zudaW03+1_`KK?HZf$*sO|Dlq!Shk?;IJ_?M!@o`}EjnjeAH$DlBzHufn z`o^b$(KpTpM&I}>F#5*1z~~#F2S(rcf{2w*^o=ixsQNf@Jr4vm=C3S$yjHQVQdCRY zCd1eTsnPMS2roLOYbuu<(>0Z^9n&?H%Z}-q$~TVbn##A1>6*%Sj_I1p6~}Z<<$K3; zP2~s2bWP<)N57`hu%8@%!LvjR6+a6x7o}S(Mge+bTK>#C_hWEJ06fnek{)X{=dyF3 zFBpy+ZlHMs9`p0f#OZuf%m$1`h!{q#iU5e2+tmpOFazTPNY-UX4bQ7+F${}qXi>FQ zv_O~=dLc5gS_q4~p`A9Y1P~r-^tn?yE}$p=Aq$7Xf{Rle?tk`u#*lK0;iZzH?PfeV9s+bwY^%#V&*=7b<1H1slmmMN}EMvw4S8z}* z+l|C*hP&Chc&vPjb39hYM$&o27uaRH)p<2WR>aq16JY#91u-*!-- z$4p}s)NLmPSl7fjaVIfL&MxO-+_=lR7&ms4ThA))4y;~48t~DFz<5@1Z{Vs^((Vbo z>ZI_#z<5?M85qwh?hlM-6?+5YS;Yf^@vLHBU_7gMFi_7bup15hh4+ky0*gl%QxvoY zl81>%p(a^e`62Q{W!q4Gm{N%&5X1)PFR`k1rF$(Z%hS$N`2s-qd#v-Q9sBE+N{ z0S4Gye`QY+p`?i@Y`4i?HCaq%#U)I0d}xHo28r&6DHtx+>R61!ZFJP%aYd@1nY#1!KUqm zf+4z?LlKGr@W&>M%^&pu9ZMdxlMzj9L)f2S*08rIuVNhgH-zl7cZhtrcplhq?ts^p~BB z;prRaVtD%2xfq_l10!M;%ZPnXEi0{wA9G=PesuF<^YW9plr}FvyBbfbPBD2ny9|A7 zU*?HyXxeRzT6v|st;U4H_z|EJ63l4WbGG?GfKKbC8aFe2i{5FyY708xF93z*u3ButBCO0Hwi7Ck_pq65ufWMxArb$uI?@U55rA2o||zs{`(yw&zwgUo~EJ@9qVHWM-GM8`z#QOf9HTV;l}9zAT~4t?0hp{LjF z_)pz#q&2eFkAV^yxP_Rtg>BBo+;FRNu`!(>w>GA?xw@#^?c$?*l4{MJs!d2FssB?5BDy`aPFg7zL)t*-69!GGDpz zlZZpaRx5i<*3ruFNk1ZzrY4G<^~o#oFHpt}dG5336(R{r0A-d-W8wVkd>s8tV2I5pnght&H0{M4Sty zLFGL#GL@Z)yibee&qO}(2#Pb256Rh?$j7d~s8GRo$P;x~T56#H_kMb1tg; z9Jy89pSwDphqg@`ra40%P@dAuv{N7XxGUb}2AcZ(j$->g{r1 ztlqu}yn0HGz734k+joJndb<)BtGDk1WA*k!V6l4pkph%ZYy*EH!b@xee+GgYZC-ES zbdn;QpVf9EpTDuNn3o!n?_v~I!VMJcebVbhWyclTaN%7B$5kAlVBGC^RS63PVAYX( zD^5$j!cs?d5?Hnxk$bb)iw!vAoSo+Q85rk2-@A?4Dlim%nCGs6MX72dwBX?{hwi$q zCGv{a1P~h_58vzKAC4TILUuf4p?~@w#%pu-UbF8B1*v9UUz*QEe2aom#RnYB-BU*b~0lRy+VVm!bk0G*Vgn6+m2Ct$9X_mMati0f_d{bI5Gofu=AuPSjumCBGkX@gyH`}G=yvC#N|T*JzM1%M3y zL`Dg$@Z+mu5pR^^$OccK_4m`Fc;}_Zmrc34MLNn?xjlEKzU#@-0eyGq8J}OP$@EBP zReD@bP<&lhBdhLkhR7At5CsE~a1`V!8KhDCpski3^I2r16Fr7c?njb5GP3y6#2Sw` zmXmX~R`I4Td8}aXl7Db!mqg(pVYrBx0>oP(iPL)pVg^8N6yTajk$3uImN|X zYDB>WkGt5yDDmbAVvvi($%Qy~Aps6{3m3VCTzC{M7dOzw)h!o^lM8X~LV{jwep4=T z3%T$pS}ty+3p^N1xk#K`h;tVb3}7RaT;vvV;ZYx0PBoOk(QQ6)Rw*3r>yF0=(KvnF{P%Ell z+ePfdymA;(9kkskqDHyGecii4-8ZaN^X3#SDPi zNhSLf1E|?7zJ#dSJxnzVN{0(`_O!UwkQ1kdEY2IU1bv7iHRRj^Nq9A)ObvO?o}mkj zFzF+GiI@96iuAcl32-YCx%5FMw~$MZlD(0IfTLu(MDy`t$4jK-mC$hx#!IBG9@J*& z8GDh)Hq6B)Lcc`jIhz*Lb2ckR2BHoUr#cWb!9MO{?ZW`7gEr@Q_}yNr(fIq?HGUiq zP~C?r(l%qxPKaAolsHw9I4>^=aB@*pQEs8~@+eXj;f#SU&^`uy^mr>0*xN3FICG%7 z_*7uo-X&+RR=yXp>C>Nhnk&Ss0xC{?6(Q8xHTBpjAY8NJu$KRbN>0G@+hW+0f=cel zPE*Y-78mO{jR=e@5baV)-&v~7ND4I7S&Qp0`*)_Cc|5ufK$;IAXFa@b>+fsp&K zigEN?sv)THnPZP#adm%M)c-&=TG~Jx*D(Ld&9MZG9a~n`IB#HJ4YCs)EO4ZN?~CAo zzb}63uG6trdKOyzmXwgKdV1-QUa=b0=o7W(m8xPJ^5A-@3z4r*vHhKLvIdBJVFGBE zv{4$P$JUy-dQRtK6mY_5K1o5tHhOde@zZ(@$6D#P(r$L_i_c7Kb?hzu8rmKk2hz8f zVvpVITon2?n$y`Km}BZCqMWebU^!K6I|b_Bvr9{&$98yh9qqC`*e8zvut)qRLue)gGf7$&Du} zRePKQJ`49pGI$_puZndwreQpiI#v}`$q9{HG&JM)T7;a2_LlUBf^yn&TTqvi`#X}4lU^h z*`;041{-(1*A$BCW-(fL8XEM93tJ~k9@{nQxuo+`pa~*|AP8WA{hAobWJ3}AuwIAKLub1yaFEzhw}126c7g0 zhdjQxI$5(RXAG*}a!RV%0SZ`>&1oM*4^fa6?xSLO@ImykB7(2=2DLxUPUk4lFx_@``a%(65L#w-Ixjs2Mpf`Z`-+VH z`Qq8+qU5k+N5brMiHw9Tw!17j?6@F=-8W>Ucd^}flEY3t5wi^$^);Y z3j6l6)6a|St!3YKb}HefD34IQ9B|YtW_pkhg~&V7wbs4B{wAx2eY<{%)>12?Yu8#Z z`%qt8HygKA9)0w?PFwBlUv@xzYa+g-zn;v2sMFRadsXYGje@;3`Wueeh0ucg{xmyn z^dRAK+O89$yS1$moSrVQ$4!}taN*mCcmdGu;x;;FCo(SBcuT_Ul*hx_NnGLs6aUL+ zC*0?`1$tzqm;tuY9)g&TZY2(2o!R^)doHG{&<}Cgz=nso+$yx+ZkL+<{MR1*jtIUI zPVsKbokR`bzu;_#`!WzPIrA6(WAUy4-geU*&3c*1@1BS}Cciy_n*8wQAW@Uw7#rWT z?UjIyvRx}0wSCYdEm;4iF=xL^u>MVB&Xh|=TVu`v#Trc?1$Kyx1?50m5kE!&R*pSs z%$cSDOW0*r#7|PKzP$J}m_y^Wc365i)GLq&?FhNe7%?L`?6@Mv%K3RR(y@3fIZF8; z)=6B_W6XJx%nU48C*iD2ax{)u5zmr0u%#{Dt$I3-OOH`OOT1}&os4v%WiHwXxcv$0 zVV%a1H^oQ?T5`J;@mq`R-_GpYjXCcwu)oRP3;SipoDYiV+O?KW`;htptcaDpar<~d z^qqFvxmY%yiTIWqb3RS>G3J~Fqdu|~@i|)LE8;IaNKs;6idkaqY6K4w7uX-P3lZVM zn(nkqZr81vz>4@Xx!9|0uy0a4+63YOW5iQzmKTgUn4PG{4;1>C#Ny0ngMRygdZ>Bt z9al4cB=V_g^E?L${AQ!;;~keCn+LO_rn9f|)d+wV+ua;z+pJr62;ytQxYt4fg7BM0 z9gkRzh%Uxch$Y^QL>)Q&tq;bxggzE|+la_?iCmKluigdT?30`M-EWDCH%U6L&T?^Ud=1>hcX zz5tx00CiF<0QXX``~q;FB1AV_W&yZg`e+9jJRc&rSpYsPIqYHqc!1ny0eDDq*u?_y zQF5EX{c*`*7Yo2?GKzD#1>lp?r*ux+Q-yu|!T9M#_D5RwZ3p9-MfT5S_U#7a7Z%vx zWJklkU0cM|eXNMC{a`#xeYOCc^XQ8O;Bn_-0r+~vx7=X-MzW8=_ypKnV_E>7q(!~} zeA|N*3&3~8Y~bw&@~Q*Ku*06!#W3&4+3JZxDgs?*ZbFByLe24nnA zG4#kv;|TtPk9pD>|LTJbi$ z=kcQF1sSCNShtH2pr((!^BD*QalQcj+U;=+%#Xk$eU~Y~zhYGRhL}bbJQE3RpC|W< zhc0$w-;0sFNX-vq%xeB^4!p@tURT0Wjoz?LH44CdMFZP_dEx-hlr?7eTX~JteWkNd z*R7Mt1r5R??cKz6AdhX>dLf{ux!LnlQ*aaxq$um5KqbD%R=agP&>6QiR2T1D;3YCK z635IS_|cJ_}00^>^-%M& z5F-0j2=)>3Ga|0^crD{;iWut1*cYz%l|Kf7FGF99*XJo{jn`kfeQQ*>Kml5Xx*;Br zUnE1IWnhn80wP^Q>3QpA=i({lx6XVvgJ+0WoYdla><1^V@S*$3Nl%4(%$)EexD(Qr z>hiPBz#JX%!WASexBmHRbMZ+7)K#kWICPTj4G*y?!1JSl=5`khQGnl*8T79Y;w4}T z(8l}xtA}{ciUMq~YxC9rw~dQYs0*omOg}4|_|0VYij5S+$8^yyu5%oW z=e-TbzS0;LS^)5ap1S0)TDCYYDYrBM#fdiAm`vV836xCiL{Z0!X zaID2Ok$sK>+8sCSLB~N|V#iCwMEWf$=7$0`c+_nwa9~W@hXV(<%FzKL{Z0rUajeB_ zC5IdbN|Vw)>Nu#Ms=)8T5b4+33clG9f||FLx=n|mKed%7JcgD2j34d&DHq_h@GL41 zf~O0?1s6P12(Gx`xk7+z$eKwC!H^4HEChO>*07ff!B)4JD+CiRc&!lVcMBT!Mj_B> z(6BcPfxfbccY6!Lw8!yIA((N&dxc=u1s@cGlP>tM5S((s$A#dm3qC0X7hLdZA-Lj# z&k8|_dwhJdwh#=t;LAcV=7O&Z!B!VsECjkbfK_-Q*yR@A6oN??d{+pjT=2aMFmz0_ zA2#d<7oh9TxZp<@@P>p7esTehnooM&nhVezrajWqTD4CIW?ax&2xeVSEd(bi7_k}! zt@&mEh~(hD&KT6V5l(gX!w0L$SX9=q=0)MH5n>+jRa?W>x&YZa<%u43L95A*6@qB8 z8w)`+*+wBKd7W)81Vb*^S_sBmFkT3@y5QzQFyVr2g?s6iT`*Y)F1TQCA-Lj#eTAUpmAJnU47p&c5RAFt zKq1)bfox!`ain0CRDLNMcknL;q@g69jtNeV{nCtZbFF4@XkR0uEw)|3Pum-^MpIp8;rFH@ zM+6+(hwUVg9TBg$VL|$qD`O*%FMW$6B{h48NF^UB;DdCb)g*!s6A+hA*eL~GE@4&s zNUQb}H4v70g6ksE?+_~Xr(8Dl0H~ics z*}37DF3HXfzf!E}oB|g)$(Y@0=^@S~3i5Nq%M>hsZuqSt#A}3Zg}eg`-3(S5iUMA z-0pV8x#8{P?A&liibuyq)3!6>!RJf;Z_&BoozNpI4Kzgb;$5_6&LG2xu{*Gj+e}fW6Cy3d>m$)A%J7^@xE#42M0brSfucxU-Ei1h^D0xQl zp?I3lGW@tbM*-X+Px$M!7u+DyU$&!UB-e+IioGa%mL}4Ni>sk7HUGr;>NZOOGBn_8 zqMFT7z+=be|4xgBy(S9^xU$2b{yGJzh;Ubx$O7igq+UDW=K3Ni@_SNRxb|7{t)%ri z^c^BUiSN8ivWf44OR|aY zl45O5d|#8%*ouko8w&D??>h>XpZLC4gq%>?-(L7p`ZS?nLL;}C_)K!x#l$yHM#2_P zeC1KfVHXo$C%MhUSCt%gG4b`1|9>XF0qIjZr){XPZ$I&^USvPgvTr-_tzBe4n%TFT z_{J94-(=T>eY<{uW5Vl-=-Raw9R5?EO?;a@`eNeS;#^F8H$;5PO?>0YJ|?~!!QL9v z#CHoVP=Uq7cdG{}CcX(Vn%*)K-}VLe2krKVaPh=3$uQ6h3=_%wv+o#|t zf+37aShhbX^VBf{uF9?q& zydpf7a9TK5zDCfp@_JK?18-Go!Z_Z>MV@sQ&K$G$kBJ(Y~d zWc*RWtw8K_h*+MW{uTI>6c}n0_8DTTs)l`#3+^fevo5&15S(Q;&R^w0%Zn zrft6Q^OCsg_Bqu|i8sCx`y%Z1I1|4BCp{9A^yhOuzFby>FEL5@J@s6V-%}?-QNvyn zTdhk(u7~bH(hu5YB0Gb+LXUj|rX7^%Ip4_`*gQc=*}j)~Yq9V{3Jxt?{}`yGBEA9M3ZE1akJt=LO*b3X3w5O!)UZ|}m?X0xD3$?YRy&&yCuEmWR zA{5%0kJzeQTesCItd9dDwq~JzZK2n&fDd2hdOVILF8}uJHBuv=LrB4>Z3HqYc*6YW zKbQECmj(?`qPU`=4?ZOJ4?fJeo-gmCN)e#THZuSKKX?Sj7h<ivJSgAGX_oh`G_+#zLL5?a4uW{2;M^{9wlQxq}_y zpymz^+D;01j)TdJz3N)KQxe<^(L?+`yGuceEZ$9IE9_JX?g>mqm^fuooTp%qqT^YF zig1NZrub)-#l1jg@h3(9K#D$o6g;v2n)8f_89lOq;P@Rm1_1P>3_hgjDS$#5oRTDE zaMTWf;jAyUi#|J~ND$#>#ED;Ek0^S%!kM#aV%BOBr!0%}EI%3Hi!2|O0P*iagu`|O z$Sl9EEI*T?k6$TI?7vbzW8yr^&oKb9+@G@i0tMW+S*bLEa$&6=l`Lht&yFb&lCWJ_ zoF$@R>lc~l>^L#YV&arVah}E3BYb4B&rV2y`1dLPlM$gh2Hs=_BD46M@ua$9#onO- zM158Kr)uxY9=Y;0*08-ewtm(6e1T&!H3Dg7{d43NA3Xg z0Ds&OL-*;35W_>MH0Fi&i5o>%7`0Eq3LPT|eo!Zc;&d=)=K@o2NSw+|oR`}d41jVk zn#OqvkYwJvnzIWj!sy_MQwJC45nhT2iw=I7f(0G?8%l~_vg@;N6$CCf!ezy-5K{-o z55obGx2&puqya=xRX@odE?|bnY;NB;tpb^s64ey_H*xB};ynH34Tu~CQl!6|0#84@ zvME<7$pgZW z7`l%3U(L9U)~vhcb}lF9>~;!}!PI#Zr_L*Gl`3ATmOm8Y7`*h_P9jfinpH0N@oXa^ z>}5ARXm?4E7Mk_t-IVdrUHj5eyBiGStXe^za z8Fh^SUAC7204tlZR@f&2l;0}N`-yPJOM>|N$3sB;g9VD0X&-hPLI&!TRP2#3uVLwk z2PTIC^+=*(j}lR$ea*d$uVRl=fXj2e?LO6mPjf`@q4{@w5uNYq_t{fW(=GnW_OxtK z*_{4x#C0SwZ}K52&qQ49euS^%uWUwfv9aND=-&u&M$4vzyuRQ(gbxs*AkjKPFbI?D zF%gtXHzte0j$fjj3X5OjdCTS!)AYA)u^9o-;!Airh%P(89luhO|7#cg3NF;*$DKEI z{E7x>K@TPa#(+A(w?-HPldQ^Y*z@Ev(2L*&B7*8gJ>>By7(o#LNB=Jfkt5|vDW)Dd zQl6Az2^y^wCuSZyOQpZ|D1O;Wu?#kK{E`Mru>`+V3`lX|^Ow>78g|T+%$)}N#7jgh z3W}Eulrt&uufMXnA`7Y}A`a<`Y7*n;q>E|_gZ`qL!lJ*ZCJFLtk|3+5#6>kpkX4g7 zuck04s!5zx(`%mRR86lFSxq{>`zw2+$fK%>h#V_RRg(l+H6<>pNrJ4J z#CbJ^L8SNvB>^5=)%2z(*{kWl*hwP#Ei#2q=>+514SEMm{z`h(ClZJ}{f(P%QY+|X zD^TzTx(1qwdXog3Ff5_3s5gZLN;P_u1iwOO*%FzSU<(37Z%W+p>u8%2{2DHzH;I4Q z@oO5WZH573K--K=D9Jz^=e+HC_G-dcY=AKB(>TfDh*t53o7psGC9;S*{)@feDj^&z z273u1$A2X~41M%?!Of#YRLKe-C8A1};QCg66Bo@=f?u`rEB<9RdW1pbxA6HZK6FE( zabMgs%%PcC_>hR9B~`K*eKS=u*|VTZmO86sabC$`(5mFHXjQTVc_mAbRdV8@k|oG0 zS)5mL7!;K(MyaPff4nfyr(1bewTV5?sy1>~ZBpmeCP7|p5@gkuxTrP>vT76O)fNUt zwTT<3S5yrus$pk53*JuglhDLsIKit|Vq6bLqsM0JGa|oZsNFdZ**=E=nq^i+U(y`W zbu@oK$Hbifm78ZPl8ZFK5~A(LS*mu4YOYY4|C#BXv&#~oUBzx8aoR12^EJx1;h@+$ zUZDWB(q9}0d@l*|r5pY$>_-J*F0Z1~QTrJJZyp^hL-_W$h39)VzCve(Ll$^Myx z5dLWCe@ONy)hg|Op?uE9BtWubZ;&|c4a9k}H->{E*$oO<+S%UVddXS|-=aY9*!+9^ z2jzVO1Pc>>qfD6a#SidR-ZxXNgeyaHwoL*gJoe6s)AC!)g!if+RBVC)5Le$A{?lu> zd4zr1t~_J6M|8!`xpb}F;U>{)hV4!;!Zzl&E&7lEgjl}Qno(m8!!G(RVzz-vjN!49 z8yGRuhw)Pz7zuhYMZf}mvAnRk4 z2B@a7iEoL=Qb`>~Ea0aDpEB$8&Ec5K8n8lsJAYjSO4gzV+CnoVTN(#y+9xI^(gT_7!ZXzYVsG1{S+k%Xfu32};$I2D;VPl5ykS&`)yN`gm` z+Vq?qOD@Wu%fy(jluL2$LIULy6C7JbZXp*Q1zeyGSdg>HMW?$+jHyK~#JLLzyxro-6IJG`;?m`013(@*=3%T$p;6kmh zYM;^to5psP!daq5zGxcfC_pLjlRW;lUPPlmgu-0=`JyByPDvE!Nt7T@Vs4=%dK4*% zbM|F&5gjCP>LB9Wg#>CE(Lr(xx$r39B09)dbb(BkxR&2&7l>#JcwWui&e^3!Nl2WM zAkLE@L7s%%LP_u_QWCKCPA+1|PMn5paqdC_jh8WG=N59|QNV?UY9pA+6^^gfjf*&2!N0KFaSjQ2>G1Vh^Vi|kPo4W zHw|^5uXnpXFFP6FI&=ptG=xeJ7AiZB0%eCM@q8>XSLX2Iu#A;4=KEg9eqAKMCs-q@8cGf6zAq3N#q*YD3r0rOdZmxHiM8*n z8>r`_Xt)5#Es(W8MHHx&G3FHejd0P=oF2FPlgEa8OpKC}M{({^0u9CxOjcDMsa6eJw>&=J_`Y8%H?Ys-b&vX%44-<%@VUIWtq_>nE zSC%HFeblj6ZzMH6I&;ectob? zqn`?Ah)i+wC?5z_?0E{<>ze1gBsdxY`X>-&kG%-QKbF~Wy+mV;fM>p6GC+>noCnTE zz}FanX+;5IKzg0X5inM0iPH*A+^W%+Jb*?(w0PENZh?qjjVRf(ffxZ#cpB8x>vl36 z#u)Nepx)pp+uKAW&PTMez2odJq@Xa~1tVVE3B9l+wD! zXm%DULzDP|25RQdbxLqvAuw>W()QU`3PD>KUksfRI%1cIh+V~9v9F05SfjxH%u4Y; z^zX|lurFAS+qYrgSmQlB@uoE$NJ_WsTkT=i1!xK#uuywYh_HaKKSh*C&>A2n+4CCCdnw@~gq zidF&Nm|R2wCr$+{&Rs~L4P6v)ZXp*QMJnJqyCu08^*T(vY1HdboV$=fbvWvEm|Mt& zM*$b3EU1dzN*AcGny=$0fULvqs>9o;2meqN7*=*9^LBN) z(RLQWmkvs(vRzbXRhBqanK;j^1bLO^7Rszg(Wmy0UPE#$(Z zXjR!g$wgFI;#6hg+=T>c6;Wlmg%CQoa~Be*Rjl_`kz2@x zM*$b>foK(zbir0p#eYWaejxsl%~cOX8u~DrqvrP!^QmipM9}Y3*F%bcEd`N396C*1 zIC>>=t{OvBBlZXp?MX8k4q|1Tb{}PX)VX+n>M=0F#lmr#TDH*U>zv=QM052rD~H20 z*Npws(w$L{9f`n*3A@gjWIP1K0*=UJFL@bFCGrB*_*efJ{!_D~L~fx@Bk;H#lNK9F z?eMy6mW+-z#Kj>_=!m_z&@l?cN3mab9xaVaeZoTzX|I8u$eYgbes0-LI>+6kIeUwY zZ4Xv^+I}WZ+fOkY3{K?X0JkFuSd_>yHq2!Y4w;mtscdB1C(GTZWzEqtA*SG zE?bFxwZnb^^EZc`f{Em)V0e&UoBXSMAp2gQ?r^)!b z@Zgefy-9sW!HdE_OT^EZc-{2dIWo8PM_}D+U%0woSFp==o`?pA@~03Yr|{AUkvP@2IInLB_`opLcW$Bj_9$BQeJ@=gbt^d}blDyv%b6vIPy0)Y za{Vo|IDa7WtA^}4rC00$axo(Qv0%>-?)g*C^xiyA`-O*6nsW)acj%;yPls=;RqP8pQGmBCpz7(f&$gSiDV_@{^>Ww35f z(M7Al9wufD_6WJvU}uO$gYC8F$!xHDkl=AUNwpNS9eK`&N4?v z<*Jwd?*C)&y~Coq-Y?!WGt5u~L`I6nf?_WS3{6F21AB=Iwpeh)7HkN1BQg$%iX{`k z7>(GCT~RS=?AT(Ay+)%ViZwP6fem-Vs{PIOCuPNU2vEEuV3qEkpTfq})-v;f z-}tMw7FzN5(`0Ck-;OM23``2YGiD#~sp7A=Y>0hd)-Fc~&MB7A6yK8z;Cyo)^(=lM zL;S6XvR+tS{D?8vhf8Yt-|=4~j_v=9xF5<2aBP2%xPMn*lj}aN;-3-s^y41rWamsT zelEj*opr|YESBxDU-2th@UKDj?&B^x%0V@$xZq>>*C=4D``0KaW&!&j3*e7t*24Ne z{yhjxDpoT5*9~4L<9}}Ob~60e4c@UV#_w$@FHew5u`?1lka{IH|L0>6T)`D(ImQY0 zj&F$n6_=f##bxb(PXYMWg1cM*=cnvrkwt&Ue|;>%_J2-5dRYPASpN92$iFLa0ycbH z1$IF`KVj@vmYaan$-#>E2xR!zaI`7*U@OK$8d~w|s%0n#+{a0~j*S1F(^eG!75{ZW zjQ>608ps9y8E}ob{6FjS{%3uh!~cr^8gPvNIo_4UO#FMm{ksB(wZ5zZ^9J@GXJ}rr zpWFoI30>J79w0+`yz=}x6gQJ0BIPjZU5bMd!qhAIvg}<2QotmP$D!JN`mG=^PvS$GPDp{1TBV^K;J+XNd7U#6etx+gO)l3cf;K~2psmn0Xgjn6+6nDaWvF(m_Q36hGNFCY zPtbno0CW)g89D?VhK@i-p<~c-=meCdI;lE^e@{baptGu9ROj&Tuh4nuH=L_WI9E4R zH&wR~--doi?hoX0RF71T5$8frkb92Y8`WFYJH&ZVKJ*^>LgeMo^A+K})FL&cQK6;C ziqxu5f!|mwYaG#59&&;zu+^E=v&NM*RnS%yss>eOs|Q(wtVw#3waD6J9kMQ2kE~BN zARCg6$i}1>*@W~aeMn!@K>CsXWB?gR29Zt4W@K|Rm~26|BtIuxk*&!#WLvTw8A67V z?a2;gN3s*yne0M#CA*Q`$sXhvWKXge*_#X_!^u8mU$P(BpBzAbNe(0jk%P%0WCS^s zG?K%}NOCwif*eVXB1e;7kx}Frax6KH98XRlqsfV63>iyKA}5nm$f@KsaymJKoJoF7 z&LZQ;*%(jpbS82RX+|~yN@O&bOd{uTOeS+oT2S#Vl){!&GL7xa*q)BIRnTg-tRdI3 zeFNLKqHPlXa#>8)Q7s!j`C9dTPd5xLt1_RPoSsJGw3<=0(uGk$?8|+YcBJS%M_vwx6YzsNI)g5 zC?yq*yteQgZ;R9#dHrcM@(L}7*dB6#9HH{8aw02`&ZM5Khzb`vSJI7i*T}J7nXJN0 zRk9jco%tH1Co{Fk+GHK(>yZtZX-GCA8#CX8^kK%AG?0GG2arL`G$osn&6#gOe$GrQ zvNhR;`F3O|GwsO^WJl&ZlUPWEBGA31=TFUf)AAm)dVLzyv> z!^lYHN06hK8BKmgMlnB@9M8-IGMb#od@MPcnJMH{avJk9$gi21MaGe{nKzMUW)jFm zaxR%f&LiiO3&>=0A-RZaSVCHu`IbzhUt4bVpD zM`#l(HiXxJGq10iRxW+8RTwq54o4jB=?a&k^9L57k~~G8CeM&($zRBGJV=|X~LOvy*kmX5SWYy;Usc2GIU9&&&jq4KP9A}f&2 z$m;1Tk}il{Avee!ssvSrK7*=2RiSE7b;tv%0o8;&p;}OFuB8rKUAlT!awcs^-w4^p zbY5f=(wp=leNkbc^CSHc2S9<0g2<+1GqO3_g6UeowdA&1!?j_qE!mC?Aw$vD9_j#f zggPpl=vi;J#&L8o3Pd_iR}Xw}S2mxRrG2aI2uz&>GgSXMO{@5!oN1O^h~^Tdd?g zbQiggJjDEA)E%Ka3U>@T4xQjSPceTQ@fqkWqhH8#h<}C7L%%^6po`EY=rVK#x(Z!` zu0uDVo6s%jHuO7m2f7RW0o{Y{Ll2;A=pmE?J%S!XxzH2nDfA3_4!wY0LVrT9px4kF z=q>aP%7gNu_fP@!0V;%wpkhey82PSM5xy0M-cf6DHPcyjZU%x3Yv>IZ#(X&02XSAzeq?`g0Qn`_2GR{82a`j{2y!TC zMBOmDNVws2Bj83tqZo}Qzapc^G2~cOjH4S5Hvx)fG?9!!97{I|ZZh2zaw<6u+39pM z;AYZ&4L1vlgJwhVkclmG;LK10l*r6nxFl#EG@qFTaLLd@Xc04u;g&$(Ko(}cg-fAJ zCDX{I$bJVcWAr`Ta=I08KR_#?be@4V%&$efj&41<0r5uYM`#l>o8h)VTcK^xc4l{w zJIP(hX3*^>_mF#$&4l(b`ib069v}~*?Pur^bQn4U9fgju^*G!KC<{6Xoq|q7XP~pt zFRVHT_bYUs(Qo7h@*;T&ZI_`d&{gOfbRD_@-GpvIx1rymJJ4O|59l6rA9?^~Ll2=G z=n?doYtDsx0zGB)jC_vx1>H-yKcQF9Yi8cSy@lREdCcU)y{9XH`#@I+R|FOF43#p6 zchrmUg{~qsq=Bp;Eu@32AsfgRvV+P&_K*YQ2$hGNpbC&Pq=za(E|4qa2Dw9(pvur^ zP!*^uR1K;Qc|bLwnvf?{3#tv(f$Bo_bbPMR$@#Mp;>L7da82mE;e6I!v(xHJiiRdK6GO(5lgP>B6mlv#4b{`>X6ST9@rX>&9LNkMK#6RfOC}+n2hE2TK*`K5 zgj)nHX0(L-hP061qAi6k6)p{03VjDHgT9BBvvmde1Gy5}bh=e=tD!Z}T4)`#9@+qH zgnnezCUP_4Eznj*+u*j-?I3rOyO7O*b~D;T?jVvMt#T)ge$Q)Sj6R zWJj_S*_rHuimr6s$nInhWWS*6N%lhAn=XtDN8AVM3-yEgLj!n}gUASS7&*dPKFyCI zCz4aiSy(2HYnu%h51AOvfipu1P$D#!*(7ov;`ww7$YjI|=@yZT$tB2sLuY~e7D|Cq zp)~H%GI9mtAE1@on|0)7#9O%JR=90++u?R_i43^i%Hu*bw zhrCPvLEahbk)e}qzAG!=xV}w($#{iO;?AkOX8Pr7U6e8 z;g}l0HKc1qHYUB0Z9?Y_=R@a98W8)@`I7-;AhJPFQ%23;n$rc7Ey$MS=V)t1*P3jD zxGh~fxDY55YR^muvLoV7P-jM6;JVUvBfBH+LH7k*PpB88-f&@b;bb4geW8Ag`oj%? zzGO6z97GN#hmaBEP|}F%VRVt?aB>7W5^baCM#FtY7X>$lZYuE}{E|w26C*>b~C^`*yhPkukFU&=p2k;jTf~8Qp-p3EhHj zL%%b7hrCPvLEb~#eYyu^Hu;duLE9s`$8foHPvD-?J%f8r_X6%E-Jfu;=w8FUp?eGW zjxLYPNBkZtVDtg55GrC+ObWy$bfs|oCR35h7Eeo%##YWTR&ZKK$H>@NPL_s{~gW`ixN(xTLw%sWP(P?Y zGywV%8VC(y2QotmP$D!JN`mG=^PvS$GPDp{1TBV^ zK;J+X=vycSN`=y(rOCnhv<_MiZGbjHKk^7Rk(E4qCah4TqxO| z>_B!zMJK2;)P^U!%d`%fs3V^1UH#(3fxq> zY2&Xq|M)F5;6S)~{+yZT7 zw2j=3cn7o-+684myP-YMUMLgV2mJ)?=Mo3VgNT2oJ47BPk05)L?ik#0=meuI@+5hR zJWZY<&yv58=g42l^W<;j1@a6g=uhYs^cs2ty@lR!sXQ{Dd`}jTAIL(oh%6=r zSwfbQ_%=JPVf;)xs4j=u5VC@_kPfnjY#>`!*uj;fvnL%8J3{3lC#VAC4C$eYkPGAr zxk2twC8#p=8B_(T3RUBps>6BE)qtxBc|x_Asa;OKH&&0nKG^_m4Vm>~+=TQ-)`wX? z#{P%{=mN7mRx%?nT#| z3?su?(T~1AIRJHE(hYY1TK-pcpl>U&;mxua0}@c!7Zj+ zBLDh#Q5xcW~Li!(LudHAzph7Fio@b?EBa%Te8cz9F)W z=o*t=WD{h)>3mr0NAHhp09_y%L^egX8C`SMwxs_Y*;aI|$u?wLWZTh&u(ku@j*L5z zoyji9c7?jhUo=?M8!n9baIz2LzHAu;H<-C0WCS^sJu(JuV;PTw8&5aEURN}k+nt8o zbmnGoP4V<5`Xq7@nL>V#>gB9hLH@w(T5=QGHbYz3vX$J%mfhrjv>jmfAl%Q)9VgEq zKFgM07+)l>BYOk73EhHjL%*}?4%}Vn4@URM`{V;;v$^yW#!q>SFX&&Af1=_Q^qSEd z@-5vX-nE6TMn{^92|5- zdi+}v|5j$}XJi$!Dp?Kf)gce422>OBgla*xp*pOpOV%UnlMTp*sAxpjnDio>AnWZQ z$4vm^K*T{%Q>Yo#oY`Qq1>%;_=TIxCHPnVJZOL|sL+C=u_J}*sb%g5#b%wey(-p_r zi>^1f-XARkpf8ylNDd+glS9xJK{u53BgwJIj)TUtWda#ZP9$T{7E3pY^)twLaxU7E zpm}Vc54V6WnOw-4Z^>n3I=LQo8(6Us?nk;!aGUA2z-@)LLEE7n&`!4OA~VR{?GR2+tmKt~ItL~^Ns)@*x74_j7FyD}DL^dY9$R?yW>U`*Y;&I#%XE*%rMKMA-o;uD+2@$Q& zW(?h^X z2~WRRD^Kq%t?&%Ks__iU(IAtj@$|l`MkYt`49ZiG(W*SXT~s1IZbcho{;_rQsVvbhv6~_HENi# zL5+>9u|bVAT3ggGV~ZMQ>`-GTYwS=XjkX+Wm??)EX6#X8FKg^kBaPMpHOx4mh8aiH zILaDF)JUT(j~ZsmqsCEK%vvYQTpK5$*XdqmPYZu3yH0By7tX^`Oz1U%A)+!JGOGlJ zh}v}6tQOx+T{`n%gd7{PQ_!zsisHHNG`dsVPhpoW<@sA1+cYF^2j z*Qk-k{0cS9yh6<@IkaA3XubMmXblbLRZwKgFyrg^hqT2QTIhtsT7jV@1ZJNSO{Td- zm@>7cntf)R6m*H_!6}8pbH{1nx%-AdCKtV00JGx;Iy|=onSv6}gEpmdqea+gk=$re zc64~5kRvQ3KCIP0W3247-FFf9-Ls$W`kyhDg;Oohw0Q0QuQ8TW>bVjFK#q*R#@K$0 zv9f`LF=kQcml_wUb)syZJ*E+MIyukA#|zEzb&BbD3NE7am`BgY!u%Ggn0^aWgz036 zqB-RcbE>wYIqd>-TF$eW)yw8tPSl>-NM((ch*dnTvQ%p{;;PD1lcQRr7I`X9^;Kn! zO5`Y>sytCfIp$=9LpHXI`_7nCbc=)AAOlz=)rlSk>n5%j)B_ES$5K3U!IBu)N0} zT2ccQy|qxRTo!2#X>b(kIGc?4H?4%}kV!ENzN?6gl`j>;xKb5PT&@Z=Dq;BJu98vx zr6Ob+r&1-0Ri6~^W3l>^;)7+y>Q9O>`(VwQPl|WvYUG+VpA_$7vDGKV2g{1BJ}KUj ztHqkNpA_%T#mGHm(tc9BkHxxAiVv0*>pm&ok!y`LTYpl#JJ(vS+4_^>eJr;5r1&6; zEhdc(E&v;WE5HU9K!M1f68`jP8{D$rv@#mQ)wt1@or#QF`yf3#%uDS4ki?PqLxbTzW9c9HI{7<3?zW%<;efJ1g zAxDbs*}td3kN4B8!6W5!lqTjhBM)yCs)usiqLdxz`?wTlWSP4=ot} zPKF_W{k^fG)>*7y_WH1KevDRRC(S9+=T%h1Q?tuaO-LQwD??lr zQ)mEswSA~kQ`ZBct&ny&4 zcKWKaIrh0?%qE3OuWeD+TPRG?DG7eK|YbStq)sYQnK3R;Z46eKXU9!LPDhtAu?N zyUYOzkH&|_i1jhLsgFj5juz`j>%Mw0z0C}YAFG6F=szm7M zvMSMLMp+e}6RJ)~c)mJUtbcg+Ubo_&1tR=i|5t;a56u$HXhv#PfjY%q z7$%)oypoLNgsy?bB}i>NCA4abR#6+@3Ve;JyU}c0Sr~LpRc8}SW}#EeI?Fn3v9M&h zC|)b^z;Lo;!fI1kq)HfPYuz(YCvO3cXA`{=#O#h0Hd^Mm;W;5Ou=PyWj3n`{)%rw- zlg2sXy4p0yTFJgFtV%5J-jz2#5f2s1ZmaT^6QZJW=-XtgGlzv`PF>}7reTrDYNZJe zQ5mDeZ_W;D^}4AzrxWoIIH$f!WXy?arGFozh}j{=WKZm)FeP#yHwf!u%PBYIPzr8R zlS*cXx*Qi-eaxnuMTP|NR`E^yAx)DYtQE7hzK*U~=tEtVU8y*n$0e4#eoCNDs8oU0 zrOMF}c=B|0vZ&ve$6eS>vAF5*++vrn=u_2dvFjUss*M`AQNyCWO4al?7Ll=VY%Bd_ z0}eT_zoNf34-Z0;}oW80uPFPO9EB!8RMZCybXgQHr`rT}?A}%Z0(k{PL zREl2_7lN#KU;3R1*+n8FKU8%sH6u@is0@=rRT+h%y=qs=-V{8}S*y1#%dY&s2v@=E zj$Vs2;ixfA{moI;S!CEfYHe|GSBnozw4q+^#t^YrS#l$r;1HxZHPGs>oJ%|w{AUZW+jm^wKf*7g~ez3+kUz@M*NV_VPgF--KYms z+e{Oyr>Unu_^M5mSRJJvQyViWW>HJ*@$w6`!s`c%YoKEC7mi8|NByb1Qt{pFs-~OC z?2Y@bUa2|xA|p0jsS$6OB+AZ>i$=(EBS)FY{_3|^_Ly|V@-cE(9}N+q!^$=*+Dt3k ztY{NewplqXhpanXX@V%5dC$HQWi#)sd!lUS9sNp-eXgkXCj}%4-+5m1O_8`?1nNAL zF$**8L%fiJgu|BxzG&6X&Jc%PmJhetH?oSvECe>a4Vr_ zqQLK{#_jmXXTs>NbzdHZChq9}`@HdBjBSM6)lg%3JB&WZGrunLFSio5|+o1hI=lK;hxhb zv(Sd*+@IafpcTojTaTVuIb#|Iq#>`J$`~WUG@88*YTQOKA87{3fi&joz>P_v&60)D z?V4KeYON9afvy^dbkkmutSTE^B0g0Pu8U7FRhsj59hdtpnYQ|u*`XGn3Lynl;PJ@l&aMp2HXG|4k!`e7i`2Te{L(OID#<9!ketnE6o9@?- z7G=}@>KQ^kQ=T?CutTykr%uql6E$DedEP0v+e6Xwp5optDPW%1mXxWjpcw6OotpOA zsyEHS9Yh{|9kclEs5V5KZgj*w&Xk#?x?~oe5>}5_$2=G&+KgH~NuUC3rk(RxW3Wzb zB`g)KHD?xQ%n|Q27W`~;RvenHXe@a-vxIihrIb*&))vt-&2$1MJPYp{X+o?OO?%;n zHzb$gRkb((vss$w%4^r`7iS8@kGgds#@swb>`ebL^km|?5Mg}dqSdEhu$d$Ex>h=i zl^9moaf!ver@b&FUQrBMjHr;=8QLs$@*;84?WpBa8n%V)oODw@xQe~sddBTm)|3~g zN;V}LO*Xh&{q|Xko6<8yXhQHlfh)RhSmE9j&$xApsNY_%9aiYFNNh?qhqN)PLO-5@ zdq;(w0_9XB~OVD<}DuhVGpRRfwmp)3!AtOhOkcDy&u$~Y%eL_|vY|C3C>*QP9BjgJS zm?O&~j~Ww&&dCy=SDNu&gej`_#ue7VLi8zdOI~Em71x8k<{F3Wtt@=!)@W~>b;@1L zbT=wCmGymuyOP;AEG*C<42Dd7`SKYfM6RM=*f-3ASI`E%>Fq21bx~Kz$bO7_wQy9o z{K1lDqZWsjTHG}1mKLGE-d4$YoQ*xao~R65Wa)z+!jS)1tHr=Y`u6Wjk#SQp-k(xc z#cgz=o66Q?m@M2>nbsHO{(LSqK;XH5au}C3IEBY%)e+&AVjNbeNA#dZDXaVPlQZ>``KG$*K^U6&G=Z%yiGLC~O{CY!s{P4`T1jte<69 zVNNLPDq*xKZ)53GT@iu3!oo5Q27?H!hLasxiW6tuE6id-Mz1M(B@aMk{F#T7jWcL) ze6Lv2G-~lfnjWXSnMGKxc2^9K4`Y%EOH^(qV{B+u@*hkxHX%SJ;5+8aLv#H{Ye>PHctS`UQ={!Za885t6xfEk_;R zmVXuNbU!x_cdPg~i}r#>tVmv{&2U5~XfhW%wm6j$EBYwwa_o)x;NXyBzm0hImACZ^ z8aYpiCCU0Uf2>P{dSoQzCXXW=7Y!1dnekF6L;I>#Mw-aL>fe`o{UEZ3 zA9^lxcnCbCWW-~hSGCW6xvLm2#59iCPx}<(r1Y})O3a?4eJYIECzV|Z4#zN%0+bc= z3<2T-2KGYjrWDaEVN=5Lp{sPF%7YrZ?B#n)FeKd7XK+yB0^U7$X^m&mWq);xJO(%X z#lo@~5`Tk)?=8z$`63N)^OD9(QCoB!Zea4%>h+2BoP{NEb!Cgz*bq~0+kJYQ^MQB` zvM|v7ew7?y|HSFVxuF+^iyNbVAKT@1k37-$!K8#7DO+eB$iHF{&l1K-Z>)ZN$`sWLl+MhOGhssYya9QPq=@m zBF;r$m?W-D!{>bE@zkVs^bCT6rSaA}$&3>+PBMeHBec#k7iCM!t-C8gCtTROc)+*imV`b=Xl| zMVY~lO5?4=j_O=x20JQ^w+=h1bC((Hs5IU>?5M7?%wR{Q@zzyA20Io66ATj{*C4@I zguD5w5Mwc3H)%zFshrGJFNM!WuY^@0*|{RCq(-PkiE;+n^dlo>8( zZF!G#le0DkKzNv(wS}CvIq6|G#%s}*sX|WMa@NKxyOwEk*5*VlXKl>kT9ur&@roY* zV75cXMUk^MZa`Nt*X3cZ!?Z1DZCt|oYjW1cqrOfpXKj&zi~jyMmC|v)z_ctcYByZ0 zDY&rZgZ*=ZHSR=FlV_iq=`to+*yhZQ82KJ=UdfB~LaV5;!W^2Bifc6y$8OMOD%nvY z=S>EhP`oL1c1ZT4^>4(K=xpQlH!&}`N=#8?Q8*U1+n{ZPo z>n8MASvMK-MOimx$~OecZf@AIvYQ)LSax$0=%yu=Fg4;vUp6)JVaZ}P-xiL#vZ+zz z=EcY9wRl2{kE?+>QjcP1JZ!^a{Ag_;ogCphjBuD>7;ijdA!CIMOfZZ$_7E90GV&97 zt=j3neGWz)J|4pB8L`l8{~|ul{ysKgp94LC>2e=eN}j;uoi_3uwuO1u*)1E-WB8_l z!7))@af*G8(+g?1UU})M<+f#p+m;!*ZJo?;|71q)pN-7eVEZ;QBagvOX6%r$lNmc? z>}AFt8F{k>L~PT>;Q068^7Jd4RAg@`?oT|u7#_JRWkE!|S=5V+kE<7pt=Ag^GeMeB zFjHaV%}(QQcEaKse{BV1RS^qxI+ISOPH+7>) zi_xpk&$F(k%NUAxA!L;;K6t`XvPu|lXsz~a)aXQQ#S)uuy&vyGJ_u7X<(iG1b&B5X zkC)qj7hln;m&jt=LMP>0U(=x&t89&@FTFWLk#&OGK8sP)s`(ZSCn8 z61hk9Hao-s4>Z}C=9xse$OtJ=d)>2JC=A03)V}xhsUlyK5poSVG0$umehoQsfHj#| zVVqsUfe{62(emDbQ&-h3(Ufx)rStHXMF-s)ve#1FcR zTvt{00HMp5-7poOu-Iq4(dcU9SrjK}Kbi&F2kPE&@mNHdZN=XVGAisv>iC^=n51S05+{Y)-Dj59YUioW; zMbj+(aBCY&n0SoW%17nL)2kHQ4#~gjhvUN6hxJh*a}=Lk?^GO)3QLaGW`fC6C3a%r zRZ68_gg#PhBP}*@UvcSBBV9OjsE}TvL*O0^fO+ON32FCuRi?iQ%tFQ-;%T)94`%pu zNfU~}mWFH6%?*1vH)46D#hmapZb|JE_(s@Xdc zTF{_)*S$>-#opX)&soD6K|4VwYhv`eM_!_$)5l3>NNQk~++Fn89!2i1DEkO!uUV9R zsIz9Lu!(Srs2DjnLM({<_(6}+qBT++G%GK!7*q%mKtQ#^G$ z6>X^4n*RN@J@WH{JPjTU3qHFhB9)}4mPnnwkQHlm=vCX$Rq6Uk`5N&V?)dzq`1@;F zN~LF(9D(N{R>`wty-INi6%Of^{Cv%s*?6(0E5ND3S29>}5ogC5rxsPBLa5xos89B= zwF*<*t^}_Hc8kRv!UK}Gl0-hrj!;ZW>k3Chg>fjxuP(in&=*Wn432p5Xq=g)I+nO8 zL3kyaI#}a57+*_pRhe~KYw@D!Sc;*%uC=gCUR0_th?Q?qmMBKOjTPQWzN>g8IvH_O zIFEO8Ygps$*}El&QuLF=EPU{CQo(x#j})Jcn-UDxB1aN>ib|P(L)r=343BW2UX~O#j{m=lz#u7R_mmB7zjdh!OH#ENfLwqv3`# z-p`bqn2b#r+_KSVUADr1bzSyz@#tlROw9%?-t0t$w)*#&n!;`y5{-(+9miF+O5y2b zt+MsRMqQMUw=**prMRFfzSL+_O@6ac!b+l8=Ir6b5p^?ilzC(kg ziH?YgoY-WVD61VlPQ;EK77;UQ+*r|MVzjZzSHodqMn*?Q4D%Av6P3s*5o5-SC@eB2 zHfop{HL1yn*vN@7WyMjWh6*nfd3$^N2yb6+gSVfzzwi$54)hN4ZYq4deSCa;eGJ0K z&&S^`TOHw1BHK(f71Z(03Q+H8(;|V z3-A{K0Re#lK>*E}@j#-Y9FmpgXp}=>)Ff;> z8;9W`W@9(1K%&pMu`wOTjE@qLV2V`b9Eh_S=| z-P9&xmJIbvAbks>1c)5XJLh6l;qKYJK4 ztowLg5uYp`GFHTn`E>D+vBq)3MvWcuf3_7Zj5xqyI5rX8Hg;mnxG}vjPKHIci)%AB)T|yTr_T5s^W?@(9y<-D2yYIA);sG#Mr2qX3cPwPR3BFS6>YA zz(9)_>mi1OL`M(tm=sYQ6&v~28HvH!z&F+XUW z#Ffq}Ru-4eVt{{(m2?J-VT+X=f8$75SwTar2rE$+PYG7yixs4cZ6ur|Wv?# z;(uj__%ZnJpa0K$z$b8>!_L}0tMr{dZ|v#V70btY&ng{avhrEHeZcL)>iG>T>^$}2 z=WB)ce*R#bW#d$0?i0M+uYJoE+pKnH*7_x3hwCWqXE&Z5o?m^)tIy)%(snJ$Shsrf z(AH}n8*BJ&`O#r!rSEoJ_MJ7zx8RgXTv2{OEw27Ppd?2 zv){G2^)&5@&duFto-+4sHe<=>5hur9>$Eks>mmClbFGt-R^55K^xH4{9VqfYblmhy z)y`vzHFH#z8}De|$2MZ;NJmr4)#H~foqy)ucTdMS9USniVl7?NPmb2hnpbmi>VM+Y zZog*D&YzDsHucW!Qs2P7({kOKUEexn@sR#^GUFS4QE)o5(?TZmg|gZx?q?wPe7seRp&FU#MMa@}?Ij z*LKMZPwsKkWqR>Cd)1XpuhpLq>HPN9d*@cEkK9|`>3`sxK99^*+s5`zUf||gbNinI z+K9o^)-)QlzEZKrta-oJPsl#Fx6Y-jb00o=FGB2G7oM^Iy7Rv*{1IpeYw8~7|%yRyVwJgfDR zLr;5c^!4t!tXIieRe0#-^Fs@KzPaB!V|?{XlddOr%ih1CXm_?@VceTz5to%=8?ra= zA60@6f}Y-=R?=dG_IbUU>tfe6I^|!{>cV1|#@WUX4XRG4Vj24RwQ)CV_X;amu%_Lv zk%_J<;re@zxV4qW+Ud&MzU!$w@a+%5z3&e0eyD%U%WvK`xUKfC)1|;}lh>DjwtEo% z`bk93nXb#5U%uNY_f-72af9bvT5~4ct4BRsr_WCWju>BX(c7?R#5b>-c&DtpS-aDO z!0#5U{&mv6o0pGO?6Ypsl$nhdl|ETtFV^pyHxnQ3xU*nQtFCbo+Y2ww|M8qtjoeNx z`W`6x%DF-3s4>3PMmYwr&1+UMBS7!7$GU#@!CKu<{@kS z``|b3=|9^>>aSTUH(J}JFs{~$?$fJ2X!G=@v+iKcn&o~!XLoV)pPi}|Rk^gRS=94M zhu?k}QZi*v+@K{7TT)q_0R8{HaFJ|ZgpmE`=A<*RliE#_NC_fFAM8OR6lgh{DZd9F{_dt5#8#h zZGTpEYQK)&IaLo2F89u4dogPNs6y*+?)Dy_iS7H_iFzfsr!Dpl%IO)sEUtTl+53NS zD3|NJcyHIS8=L13e>idXneA%^tz7fKHTLnnJ>H(zgWKIdyk=OtHaX8a^n2XC-swqw zx}VD`oqGRh{fz@VoT}});z8cTOozJ2=18yJNbpP28k+IKSc3K-SKH{d! ztGB70;$l~wUw&xXt~-riOnW;$DCN>AU8Sz`C(YTGS98#7k9sHk=BW;!_G%q;)H=IQ zL|WgIhX=h)e|@{x<}Y7fo-aB~eX36CQ)HOc)iSu^=J~x&cHds1`H~UW_IG<*)#{5@ zOZWHJefat0wl!b(7&@n6zuIB1hHXgbT{AcP`13iHH<^5^ylC!w=kuWhuD4&%_IQIU zRkuHD5!qhbcu$MQ<*u4*)_bs7cL+bKKL6K%E4{jGdwO*7A9XwR4XCqg=;(>Jhgenht8v*r zYf<;^H|xZu_M3Rw)l#=pRAIGC_kUlr!$Gs7Zkvwjzm|V8W=5UEkAfqEn|$!N+V*wt zHcw|9K3mDBL6d!Z4jdf$(0O`4@5)yF=lBf!aA;+P)6)meUQnyyFIjP?PMT_+yXv;C z(I!=o{aZduANyd^vLW@q-BZV=)rYkcs>g|wnXc8Vzk5{uV0^nKV}`V~tbG{MZ(jL@ z3ok{j8uh+cx2S-APSdaT{7|oxXwI8vmWXkk&cMhAM{L#_r z(!et_5?id_`ShayXN85{BlRtE@@D+`u-YljNT&&rXn%P3mn+A=^c`F$Ji6HXNTWrCzZ_aN&^4m>wBwWfj&Gcn+GuY0q%9F$2M+I1P~>iZ`(3M@ zRohkHnsI*gC`a2{Ra*qBpRW9Vb>pSGrX(e;ZGZAWqe^ww@2z4PcXvu@t1VyuRD7!Z z-E%iA$!{Z5`e)y|Z0vsNd#7WOCBBw}lOFB6>VIUjs62e+mCPngId&T7qF*Wn^k&;1VwwJSNEJdVtR|l*HvNtr&QWt zX+HjFx2}zTKX;<%tx2P`ZWfOQt`$q?+eOaZwEanz)6cyM9G6|{p6S`W|Efx+$Gv~M z*ShV@h7;FaA9mZ}%aOY(eLehfkM#%cjO@~{%9(xDZ>(&ztncP*b->VRTegqswmG4E z8>f4nn!Mf8TVKAh+obhlny>k#`FQ8bKibAPUer%$cBMl4`V-IJ+1}17*lsK~=-=DU z@e4_*IIdat(ZZ88T5p);dm5$H-zTTr3hnJ_U9@?$7P3Vn%r%e~b zD(WqTuil*PAG+S;dbF@o$>WsrkB*159}u!z3A^^yyxOZ~Z7tmT_R6JI<@+p{*Qxfy z8N>X}B&_Pb^U`L`&4Iltk7#kfAmQzfKYpC_?$0)NgFQ`2o!^{lwApIL@CQFG898cF z>!78(Ji2D3*X{dbW7nHY>%1;mb??cb@V4(;4Owz8WMItZuFRl%$NgeXr&B*^qMkRn}ci zz{6(|HD=Gu8osZ5$uGI}Ds8GYz1BE~BTcIeKD{gQqN$O)?=1U>CwJPs8?kiTjSDg5 zv#zIUSL~S*b+N^BbA{RU&o1g7Hvg2<+Huz=jB)MuLp7_1H*yhBxZQIGjwr$%s zCw3-wcDCx?@OhGkcLf9XIR5psd z+Wi<|CefDJVKfe%`b4RFsFE$bCbuyDHG+EJm^(k6^-q99R*-M1e;sdZ;Fo2YHRht) z!RsG`^ufb_O11`bnfIdHQ6XQ@%Zd-{_kE0psIZ#jAsrO<4z_D4=bZ-d(0vmfI5XXk zA~AS!{-!-KxZNxP==&;ERmrS@n;DuWjdCK%Qp~sKtJC-9hBWfCp-1{)oIA^`xT)t) z{(=6{nD2uBB~rgp+_N;A?TK??&dw6ZqJw)0GU^+-68E@c9mYX!4)=txVJ68#xhUh8 zE0dIT()2lH(9zlPcyluU48uJj73m=h^6$|!BmwmcqGJE;Vi!`dtLNfrJIE0 zzUy`JeDB&`%)>Gpf~GSYB?V~W-D*Gj!JT^hAZEMr4H^QXK z_&hA0P6Ds7v6=-$H>Rua8jrsX)q=u7gNftB%dPF?o0P9J+!l_`Ewuy3=4>f*!<>S- zi;_gio(JCn+TF%=T_B@wZYmE#O{EzwIV;(6l)!}2^7ZH{jdx4@ZbwIP_O^)mOGABF@AvHi^0YynvpF}}D`$K$2e4|)U|l9& zt+@QpPSHAe)hI>YsoFkHKmNmO6Zn%v!PsZ0i+i2TF~3!}oTqS}hyIdW)Sq&A4W+GrS2yI48}(TBBXSPYEvi&8|X}F=}+* zW>Al(?r+CzVNhWPwZ9b*2gsvvb48@Ee#6mjkh^Nf)?vnpS24&qK9f;5%j9$mFM6=j z55ek}1m;*28o1}~*F{L8=c_~9GQ)Z?zixWo6MI9U!w?21YoJaffXRK!59SM%Uv_3U z)4Jf%9k3zvb85Sgh}uK|O&!1O)y>IeqUNVUvFaXx>{&DO_umkLLX^gVx&Ptc^1n;E zOWuUd46)^gn^)E@$^llsJgo5ANY`B=@hX8AQ-P|fuX73+I9wBlr;o{EZ;R}V_7 zoU#@n(Xk{lYJ@Z+YXFeso6TY5(}C>K=8+vHSLf4Q4lv#l1|UBCH`QXzqef8O(c*v!MEdF z#uUl;DX*p(wTLoHX-DdhEaP}6c#Tf{9->WLz6IQJB+n3#1SDqbR}*FmM951WN~c9d zI0XL@yT@jIkXkPU9efhiE;To;dB^UKx2KfvUaJLvE{(kq!h9EpsPw_G(-Ia>s61cuYlp`yI9ZBo;_ z8f2(U^8;m!;YJ8*W&V5V@3$|@X;MfN9#?(8$tDlE6lY?~c5$S-1xQsAF>thu5&>;} zR70MYKL{=zNx~d>cgf+E8(S){rj*Y$uKUED z`-0T|W&lKCBDj@qKgH|8eaF@A-22!}o9LvL`DU~c8wpj&S|pdPW5#gm(RgvpKs`ho z*%)u>-!O|%%6MmYzY^r@-rL(wu1*n69ucwlWwpER=bh zA4~}CLXYRmKy+nR@hDL=pt#Elc*Bh#A-slEpzt%u}UC`I`cWWqzioVN`!`sjhFZo(?o+0iNIhm zrnzzGiJ)EA9)IT;$lW34^kzD>d>$g)OA z$+68cj0{A+>N=T-fsZWZozh;({+P&*q|iT8AN%mO$Tg2YPcFab-dVoRgSH~ z&&Vw2E9b{r_wE&L12ea7>YBUh082JT%HyvWfkwDhU)^D%G=tGfB#UY@AI*i|U=W*s zX46=Z)QwI)G_W41rHP4PZLDT35i){;G9&NEy9gvwP5@-IYPDvP&#`gGJ>R?*fh@gK zI6`X61jp+%W7rN?Dim&nqx!F#x2$a$g5QWRiRy zEd@gjPvCSj%&Mz(fd5GOIfzE#8m}-=MC(NbgEO)>V`df?H4&*)Tf9)0YtJw4HUf-^ z$-(_kM161#1nwdlpm8+zLqSXLgW%-lIP*8EaFUD>8h$~Z%&ppUhFc=fm{b)UI(_Jj zEjWDII@Qi%ZmBNPGH3JCoNmtQx+{$Sz+K<};m+b)9%hthA9{V>+6Yn$IUwDEKwy-W z$d{?R5(TGd9uiFjHNMt`CNf1Rv=8coC&TZWp^o*~M-C3gjZ^*`M}AXb&~oxQk>jmX z_=6*WSix<{H@eHgm8@V{XNRG=&w;On7u}EXzGZT)ik~ry5;XeAnQHbTAHHi1v6aJx zY>y3h;s+)#_8Cq|A`Hzk-A?lOfKVQRy5GE=VSkNxU!|hGF{SwLwnT+51_TCJboF?1 ze%=BXeBd%eM?&nbZff?4jcRn9%cdc?Y9O};OtE_tB(S81VDb5i^~EP<<|`Aq)4X2o zx>CjR1Y6t-&;;qY6{<;LHkT)nv}u|!yr$z}f;xN=_xGh{Jhh4(5RYSXp_AQn2;qVt z+QfDjNCcp9vKNH$V0h#;Bj2Jo1m=B%5LF}+roR54HQuoFbg@RNVltTOmbuHndYeY+ z7@aJi9qhbPh1Q_KUX`>TOE{3HI5ABmm@$CXhkt0`(ZMu3(m=Bum)@din(hvot1r+J z7A>ORt3czAn_~sbqoi9F|2V?SRWkS~NaPqRjU9iVygh)sWaD$Dts)3?gzg*IXB;1P z2w=edP{?$MUJoF{zWhMvAw3PIWYRywwWv>(I|V}ai=7MNRBD|Bg$ zAGEzJr)9p6WQ=H!pZSBXgVCsKQL}2FY;-7B#|Q0;oNmnpweF9?sfc6rC>}$_`UzJV zlfLgPqw%~_CHEzG7ThE0@YD(|&yv$w3KjieM{Ga595da1z49&Y zxB2FY9hm646*5;Nu6{fb-Il?Ob(U9Z{e>7HLmi1^mL@ ztXUsF(J%dHRxY7l4I=Sa0|>jN2zKKbrXhyq0g^$_wc!}c`UB?S3G@_1v$lYi1^x(G zfd;=ITgHDaN-mKL0oTC(eVs{B{kEA2o+od54q7!5j=FZEC0K-xyp;OxlB^6tzRn zEh1;@X=FfFwr;jRC=;=oT=S<1wION1R4%se3!E>&p?^dJWDrS31u#Ue)jGwHXnwod z;ex#%%hwSA=H)4E%d0DHECMVmVE1Y*<)D+rJcEIF-{HMK-HEbiO;m7lLe1@Vvh|)@ z6*EObwi-qh5{e z<=^)s871*P5skVB@o7@&Yre$eIbd#EEN;Jrvb8{7V^1j>??hu-LAr3;;(UvPCl=*Z zEKW8;8n6w)b9#LU{#c2<-zCQL#n+?gQi%xH(}`E(lzChWyZF3KSZ5T&)zlITvB9gd z6-y}!7+KgE134r3ROZYg6~m*uL0pltG6-BMbU&F~T=M#-Tbo~HBY%lG6nVN*XvIPVnb91l!7Vt`T_z8${W@(mrS+8yVNPSyB3PyamP076@YgMP+VG#WM*lV2GnuDKm*Kbv{(G{>T7;Tjl8Qgan;-mMj0o8? zNSowBI}}>a&M$kI6P@q|gp<>Pv6Gmh{iU2vEX09%u%g8Y^GU6NE4$wV{tlXifWcdaLEW}F^B0p&Z+$M3ns{US(w zzGnQgAf_B0G+}5v%F}3^RO#uWP7V^&8EuG4g zx5XG_EOyNo%<&9nKNQqxv!W7vQv5GsL(eI$^HhxJAr?U7n+1Q0hC$S%Xb7Anr<)QP zF^BF8%g}WFzNduezuH5h8Irgw@cH2DQq)sEG zv4IKOy1GX;SFt494yuW7T=`{LfJ5Q9Lr*@ByBK&g+5jX@0P;$GW5L+(sVz;o!tV9D z3f;_VitlzvxMP~z|7D~}Qh-D#64LpjZLsPL_R4B>sIW)GZA_n%iQk-MS%Mnj@1Jzw ziA;b7IN!$ETIRZ>vgJN-?HG_Ghgdb(opZ!G9DX2dR`-jJUz4`otdi;I38dTo{toIr zk0v~;QTNH+=KM7TD*>rFe9wlB<>#m5zfb&{$YJxj)cGB?*iS6L-`YP>2fKG?98o_& z2uDS7jWsm(ua62E0b^zjd$lO9=f=|n%4a3E)y8asJaNWzM9#@(BTo@oYw}QSUqQ!N z+^|K2{>xZ!GH0`)Oa+ShZe?3-iCa#Ojzhbt3z&WUk-(x5utVRU^or=c2qJ{xSoRnT zLdY{=uLI(m) z8g7{>^x

UbRjv_(opx{krHnA0?$>ydirbXw%y8(T46o*H@1?Go+dojIQ{?UBu7x zOlQAv;3G4JCYbrL5~@^xAXn0eKi+gN!i#J!vzOh&w~mp%xtrGx+j}XLRL`DmLpcQu zk2JSbpjL2em^gzbDANO_ogS$V80;)@ywiwhJ(_D9^U-CTu#>wsDa>;K!7gQ84Z!!J z`BE+h83y zSwKD&(r~T`a9?335QggFVrKZ0GOFbHee|&tktw|sySkHyUwR`^f znxzJuvJ(WH387V`NPyAPyszE8MD_hOaUu%1k zO)IryqQSkFAC|&r_n;jb0JulBV?8udPkc-@UxA+4J{iW>~|K_K98Q` zX@je{H66VB>M-YR9V;Bm(S z6=s(C33q?7_O}Pd4xXQ@Lr_naKa(!zUDhkv@u#ip=F#O1VfXd1wA(&>97ivcGum{{ zo$obGfogVZ+82w|y<@0lRBlS(Cx~-zK2qP-z^BK=AtCQHjY*5WLg)QGfrsvH=wS}_ zAuhhz7Y{O=f#S>s;gU&E*Y`RsTYQXE&Y5Ji){EhJavH$Wc1Ikd$+!sYv<|ZYBufXc z>eq<(^Uz5-HZdV4MGts}kOI>p4O&Vvwsu`Rq#-aCK3wb07xBet94$aqzt1e-0``3N znaDtr?QMGLEWhkRoUI#O7FsOKGl4{gOvk&G#RuJD8snL@YF%UfTF9BoDLU}VHDyoG0`Q(cnyzLkPR1Ju}h ztcc#30v0^-?*)Ot^s5r2RBThLmv~=*tdrW(EKZ;tlJ#YtF&wCOGhu(dpTKBW`0v=- zYfywlLdhTBFI|Nn7n5Q!|4)Gn%c`Z~^D=^3U zpRZ6s`*+Wb*|b7%SRn4k1LxG`HMCc1vR~qEb@=P>OlWQP)V?$y3|k?G6Cl+v*mfFo zYZCEpRws#f_HhXjr4)f3O)f91CamA${rDZ>^&`>)U9F=k@#fMM(n$f~AUmA8G1O<~ ziR?K+G4Ktk!kO7Y(@5B)C5+}5+tw4IXzyLdc^?*JC@^MU+EhiwoC)$0t0An>!;|PZ zK2vOIu=oWHp;e}X&APOX-h_Awsj96e5_%$~d<-G&P9~b35z%q_wN47Yd=`qn9wdFG z+T1p&%w(loiP{2{rWBCsOZV9*c@1+b*m8b5vP1!=H-8fwq=gq|u(`sUb#G+1g`pGkexM_Len2u9GtB=^ooB8#Q z&wp+lw6RGG7HS)(BEV|ne7ht;DUO}ANr<-ys%-dm&@jhYt*x_?3ko&4+fRbCQZT5L zvxX;!n*(zA?AMDL*<$(lJsSuNMgZSikI!N-Do|}h#!hUoAa=C2PNVZDTcMPN-3t)xM6X6B%U>+Q*4&JEixC#$ z5jPN0RyiudLA*6Jn&*jsWN!AlM$PaEKoCLNo$IKkZ+sQCNFM__$s6u(oLF#F5pJiR z#b*R^^L$C9kQ>}G-D$t|Xdn<-Nb;cArK<)Tf)Ro(xmM)7BiW&^quo4+rc`9_wV(KQ zxiEr=$O!F~sVNxeRX#VQKjLZF+s}e4&<8p}T&mNf)eKfQ)V@%>vR9I`LHGfsT-139W!o~!m=GiYB;T%>HP7N}F*8ObZ<~slQ_lG6 zja`~&1@i-48gX(Ux3NwA*5DP?L7jki+b1cU^`C$)7k1WWoLp6nF|KG9iBx4X0X~PF zoQc32j$^;7dNJw*&Ap>zkU0OQc;&HJ>cH0L>vT-jo@|E0Z^cZ|y$=W*1&O>9D7ot) zhhmY&xH(Q|$74RMHL*lzKnXnLfBVg5nvkPscNib!Lie9M{QWDQpKm1tri8`IBPRR8#gNT!W!5{BPF~=kGyW4qeR@h_LZPFTe$G+cszv7@-6$ zvSCb*8q41sGqP0dFsxSkUc923SxNQ|CnlQc?l?}MKVglUNb7a!!856{z{C%GV6R0; zc!52ypUoDXL%~Pel?}sI?)OWePv6y&=74Gyn7Zm@I+K4K=%Rzqo&67n&{?d>=g(B3 zv07)nWLS+K-ew6{<%|*s$$?^-BCB}>ZYmGSO*Zq+yG{j4n9Zl&2_C}q|vzG6%f z*g`hM9AHKHLPAfb*IIu>D~2YsIncZOoCw!v=!MO&XrZuybH6$(l)kJee#L*Fvr#IMo~D+ zN<yUA4xKk1Zysx!Fp`30}}f$1Ae z{5a4yC&PB=v61oWt?%jc`PwneJ{HBwgoeb{;npBVv?o~l=qA^wV*+UbkyX(W5EguU zV>iQ@PkLibubnK5n$Q>8xI{z(6O=kOpcCg4$#9rnRf5dU7`5UM&K3C$k#>?D4roak zW$A+U(EnsJ8N%ULS0u8aos)UCLDc(3>c65S;0dp1XKj$BIi@A$8;~ z9jDrZ7;&sha>U`-L=grhY53fklq9F?$*N4aY;#%1dkK^wG#nv~U=L>)<&2@+e2c>N zT@orj7_{>5#UJjntRM>mYKLTX)WLhZ^~DUN`20RG@85uv0H;c{=&l;zutoe$zd)J2 z6Kyt_;?%PqQ&qsIuiAoJ{pr|eL|pN<+m_iz-Q}YsShqu(|DId6qNj;C8f@1K`G7ug z&A(Zs#GNEhM;K3@1VT!`tdi3=8UVsakw7tQCIj4Md%OzOI{oTR3~Zo|7aV;-0^_*G zB$m-pc=>cMGV%=i?)GSI>Nn~N0zn~R)o(Fiw-({PUW-o|+h0K0!45OMVysmtCOAh# z)7->iPSLW}-KIWJ-sX+ClHGhUg_bHLwT?dtO>VVMt4;coO_gkh>&?7|8L8N_hpjs1 zMPPy7l7{bg;%pO-E=LN9Q<#@GM!z)6&cXQaWPO;#@gFRG0sWK8+6837MX}Pzf&Xvu5Xu{}B(oAh5>l`%5&IfFTkNQq^qw4ev{)e$ z;_jJR1d&H9t5^QIBuH%ySA9{}H%-1?AhUR+pi>1`*=BkS6gpS!pQb|*_Hjj=A%VQc zH$&0*s;F=`C-`cmlts&uXob2^bafpi@(A3=sd?h8ptYe&JJmywsP?slLZ@In@F-cv zV7DM;Z&m8m+`-ub5_*I6g{c7JTol{_2fu1|-2d_+{_*&KJpLb#|HtG1@%Vo{{vVJ3 z$K(I;_e5p@oq>pBqBrwd7FMqdd{psqi-3q)y)i_gfmO7#O|E+S<)25kS~_yLM8a z<<&`Q?;Wo`l7WZS6SM}a>xCIJjHUvAw1xZAe|e(NLkqJ)j_f2NAydKZd@h~*D|0<)sUSE7q4-qCgYhR(AavlAzAqzgyOquF$#%sX( z8?@KWZX1HIy)Bp`;zxq*U$H7mO1q1UFPw;~Oq#_e76T}hFuxOL^!+Wr54%hl3tQ24OrUSuQ<%pEDElet zDn-HS?XB~yn1SYl4Q=m@U_9JqK}W+RaN#EhWS{R)M+Qr}vbZ5tba%UP(coX=H~1ws zAtIz5tnRkif0Z-9Bi|ukrA)7-&X4`hhv04EDH-d^=8LUMi+y&j-u|xr}aO*AYoFqWli%p0kWO_2w$^tSqavCV)@cg}KiB2&@c?)jR`zw98 z^!{9@{VExld^df#AL^@ny~2pX5`CklMVxw0SoK`~Nx&ZT6l4uFZCseKKmdkTTk;gr z*?)lv)05M~7(&Z3crKbS=BSr`I6TO;lH4jlx9oR$lN0JK(^t|+lUdUs$ zV_~+;D&gcGQ6a-8h94aoZ_8ecn_A1|tSGq_ewnC5l|~@IN1N5hB3$^APg2^_Xa(QU z`ab-3=x1F`EHdXnt$<;P@HVE5GX&3jy{aCUVJNZKxF{4QF46hyw&fD|i)S=Nr2JnD zwK&@sLBl>TH&h~YWg(FzA@2LDnb%I_nqv`#82OPlK=poHaAHN`!fG;HZ?5C|t!+ds zy?1`pZ;a^;Z()>-8osM|G>VU$xTVJtg0VM0mr>TYZNvY7+euF8Ik(4dKH$7i}wEv z7GMD2e|nVwniRs=f&_iQCc%4TS{$J1_FfrW}z6N#&Zr&=NqMc&l76ex!bgY6xIn_w{V&T zMIZr~augEwP+&^@w(+RDhI~p#aj9ifV{;dlGF6hslf}t^7d-}{AyMZf_wU}YI)X)5 zd#hH}Pwr0lB`n%%Snp>dz{21SjK$dCJm4Fiq3<>f>h62bK+NC;xKC(nxDFFF4ggxC z_nrbp;ut>{F6Qs1C}ltt?RsJZtuLQiOtUQ)l?RYBJ3)wCMR{>?#P958?{zs=soC;Y zm1x(--k9V?{lEt}{XLJxRE>P3$21NJDAd93L%uoXpfU05GyU;X02LG)Af^uu|9pus zj=N0OW0#KN9?yLa@_ywXBALq|b?Q7u2e84Tf?+e8slX(q#RnD{oK{NFt)4gGzit^p z!feVq%mqXfO(nW;FKybYoJC_6izP+fTQvM^Q&Z9(Pb)OBg`x)R3&}26r%-#YA|n88 z3>e99f~^(UiAk?=rH-S9f&U^0i0G>vhk1pe-_fF39ney7^j3Fs0;9XJQ6tL{IF>5M z0Y($9c|XqJ>P<&D_;%F{$+Eq+A9_;?w^_rIS>hQ`#a1?K#>lU$Q1py76*A?@#pK z)S6m_yp|<>$`LsTF?=09`73K%tW52BW-?IV)mnh@6C{e4*~1py z`Y&PLB9@){w1KK-1c%w1hH$7;M%FSw&^GFAN5$F+lQAf%(r#g8nS)=)j;i0#Co8AO z!TBoyP+%IEo#Q=;LhNp1X&GV&5*TGn1%LkvJkxf9e~d?+1xUN1xVOMGdHf!H#Wf9z zeooCwNM;<&_=vlHaId3LK?lf_s9z$SJYZ+%UBhCsT+Kr9v<9NlO!e@y`b!s0{E7qY ze_UUA@L(a=_rYx&{|UPCw15Y^zqFta4C8yGK(}T9;AD15q+P9uoNCHHaV5Z`p-P~; zU!xYzyF7@uP0+V;Xf;2y^@}; z>6Hl|s}>L73>ChgGSLA?%Vq_cmAyJd3B$m#mgi>FOJYAMW<$~dukp3bE9yE>?`}u6 z$)#2;hQ?Yqz{d{EPUm>bl>QEb_tyH`6TC~MJNukEv$6g|4ZCq0#_&! zI1Hr^^KBxp6n&Unu42tG898_euVnfBjp*>Sutk;{WF9Iq4jIGIIM?{nAa#mM))(qM zKc)Qmw%!)grot2hkv%F%Yn%KGyajxFU?-#7t5ViLXRUJ&dPCEa=e>FrvD;{}KH_xm zx|!jAWR$!8@Q%9ep_?f~^Et7ZIs+I$J53KhVKkpeZckxJ6A;?VG>d4lgtqeYepG54vCQYUK7M685A6DL@l^)Xf za5~V$GmGm9=Ynw0bgD*>CZB>qI+M8fQk`b9OT=u|QunBGF0+rRp2Z>r$iE|$J%l9{ zA*vmEtG(5}|4BQmik`OEb@w|2TwHT3VitKa-*DVjp3_7M075%ubq(bhpg)V#Wx z_ki0OzQ9YV_FyU)GF!4uTd>g|#fCGS!cd7PEK;#!BgX%>7MCj(FP~?-7rd=Sn{Ohb z!98D}s^B32{$?;J-x5BK+&a(+{#PZTIeRv4_*%$B9_DE>t2pg$M}|0K>Ds=>N8!Tu zbLVimPSt6p5UCX0E^f_K2@#ZR5rhb+``i0rggk6tJ`)Fq6`fHi6}vPiS7xW!E{U|U zc~3(QT1mFA0^e4gJw3kyck4$fjNacYLIGwO18j-DO9^S@lbkbE(U1G=4&vmX3#sv> zMf!15pEEUGBOsoqoP>eO0QwfP}69Upo7R4d+m z^Z+hlA~TI!1tC>6=p?bKMGL$(_zF!6YViYyFfiiZ2yUVU{D${+Y8GrwXzbGVl+oI9 za6_Htl>WL0PUYhxAcF1kGMcTO+T-+ce=4n{05D?hTF2BljG4n)<%V7KaICoA>Av$( zI}h-lVmmkV7_)oxK3bjuE?uPlrVUDan5!pKlU2iI8Z_>*CA#l+;-{Hosiup`O_+I9 z>Py`mP$_jd^I`DPTU0OEXl0Yq+*e*jQ?y~xlq6=+R>D=2AX7=7H00)uoR^)zZ{~r0rgmUa4T0A-8Zf zmxf+H2>B}e#D?xApp1icuDgye@6#aQqc)gW5bw_#8OV#8b8xxKbz?(}UoiDzG9p?Z zqylZpLoFLWiK?n#5zz*sVEt%?bih(3_LNgjHr*J}%pP>bAFaTjz;oM9-J54CU$h)U zjF;ri4^YWA>%l;CQ-bw|1+GXRpjzl+%8}blT7#6Z@&cW7G0*t;H{;aKxPZ@-<>5gY z@cu@CTKsOgT6;se%XqMYob@LDqiRdYWM7&WMQv9iX-WV~->b%^0qC6f+~fUr0gU@~ zH=;hA0kQNRd?T=FQG<%{x0g&sAWUb99cSw1`1MqgFnhU4vCenAI;cI}v1bRQ?>msN zSuLyM?IC~nS};rX8!c>pX_9L>=wO1Cxm_T58EqkzS9@!@p-!0XeA9!*zjQt50&cDA(q6hZRMgdiD?Qr~X3KqX89UCw@JUK-`XfEEh(eoa6j`3Gi0oPmB=0pSGik|xBTnp!!iwm;5EeY7&@>jSe zBpg`nu9Us)Z-dSvqsgU>1?^3x3L6qXJ!8SJypag}jxp63RO?8DB&-_8yp7xUkO253 z9rd=cJ4Yhk40~p6eTB(xF{?P5XFd_5|Bb+g9$C@fofAc2!lDk}daoiCL%%&G=9cTJ z4l|a%v=J%SdG=Cw5U1evD2{-?J?if8d(VTuvpjG}0F~;g)QWUFu%85BVBpiA<#y;9 zsNHJ(^zH}JqWVin2r+Qhpfiy*mVpgt0D=@;$YyC+J=D%nfn{=qDud_s~;#LzFwZxzN6H-I2V8P(*kJ@5d+y)0Egs&ICmJ%|q- zT3nyHD5a8;Z%B7^uifZ24Nf}nJ>tfOr{BmE6IohnR-MGqrU6Cjf?sqxd!&c*cBIiiMv_uj0RJLoje7|H88-eDtsKyGH)TY_1wBSw{&c@o$0hv z$%LAlE?tv;`|b1C2C3{i2?{)dtJ35mY1mkj=jMOkzCvY(5~LV5EvRd^F0@3==imRQ znhh(J9Rmy+cxOo%a~x?QTPqH(r-$nnBrKWRjeG*WpuSqb;*hYFSRI!Uc!>OO1ng4P z;}qkhQGmhEz4xRXu@g^*Se~dZwpJ0gub$tM;3vll%30`MCJR;=-y|nd1y0}1+QAn# zfIHQh>|SbhfKjPowP{hX%QNT%mq;1j9cSHg9v`adxY2_P7aMOVU35rgea7z!dj`4h zxjg9Rn$Q|%84V_AxGGkf{iQ1>s*|QSuQQtk&-oltZj=zerv{=5eU+XuT%coV=O<=E zimbF3;wI>TFCtXqrqhYSRk&fW=P3~F0owhG&hJD#s;Cc+Rv&c=KQ~J!@v5J+NoDqB z$;v3+;@1Lu$qsvJNSVwQ8Pa7JA)xJ923pJ0Fm6b8obkr!Sx!uLr5Wn{AP(<&t-#1L zFZH{kCYR@S2x51od{sDi2(dWfYT`C-ATzmuwCtZ)MOi)ug?5FwaJd3Q^lB(597Lx9 zFTU0vgnv|q%3}bKs$nJ?HJ*+%cUSBU3lwg*<(SI|)-|8HFff16D(+*g`?9&(4P4tp z>;dd7KL?A*?KzK*&N7+i82(1!DPuP=C@m~JYJaeH93cfe8}XzMY4*1kxnYSqphuC~ z2Wn=-0*pL84-E+38b#;D;pd7N$9rt4W#~c)_U8^g7?j7){n7f@Vi^@L67M|n{BUHh zg4`IX`gKCJSIBKNYWlV~pIva1Q|_s!vLW)VY}^IDde(195gv;_ytd8QVfU~5b#=nc zzS}S2^VXeUB9Hk*!s^c*_MHN`CRTP-n3{eWVx9Kq9o}Bx5Q$1M|CBv@_l2X>C{XD``zes{VuG)b8n!~W1|1?*C5E)Q6 zlwL#%8%?O&r@{gI-1!*HuRBs9O-h<#(a6kp^c=s8ac_H{ zgB#g-RmBkdu?$W+F83+~xPRDu*eRpeIPpsAYbT%Owf*-A***6PJmZw%SLwp9ADoUmmQ)QDL+bbZza;Y zJdIY)Vz}5Q6;3H39M*dp@wqgWTVhPOJ~DEaC){dgM}VWV;vTtt5_dc;v4%L#QJy97 z6yg+xSKdeM5W`b+@?U~VG^n12wb+^;Sz8Hr=ZvFZ{96UziPM!|Z6nrDu{@Y=H0g z)NNn#Uv+^XWy4qDc6Hiu@XyC}U#*@dBWrXLEqnH|#Wr|5j0Jjpz7b31d0DOI?aQEi z$Dm7UfHtXww)7YJMA5L`H9c?d9}NxGPs27FqRNn1VN`jrLFLhJmz}G-Ognkc^C%^+ zO4D9WaHV@ERt9xSd*$nWgf=nCBHle+u9d4KDuLS)d|wVq6qQ zk-2_YeK;S^aD6S+$M&Q4n-Zt|0}=g=*;Cn=@8wevs}=lLR|2hHgcJ(yR4T98d9;Kw z9SYTqQkNNlcO8{+YQs{xNznHMW{LD%S8qQ$?X8ZhHOk)zCNd?d00&ko80U#ooH$&D zHb0=gQWi9)K{YxKTuRtTxz{X^Rn6KH1nS}ZNvh^8IyS%#v@^-ku->tcQ&Sn~piBGn z4-`|ZtWAcCJrZ1*X~Sx#bVW)H@XO#K3&KUv260`m#XcUA%tB%-YRE`d&bpj$aNugl zHR&KPHN$?OaGR~VDPj;`4>+Yb33BLF1VwICCHLmk_JJ_LBnX!fyZgy199y>+Xo;jg zn$7+~W3|EccQgZ8!c=Llpl5)k4~a8_%4G_dXFIPcBN8yoQ)a?jf5%r=tvlNz?ao*Q zrh(LTbtR7N1LXSOgIr~|`l>oI2?$+Ldg-YF+-x0zuaVr7SBOcS#?wukM zcV87(czhl^6dL2jzWHab5+3_FkA#7cL`O%0G}RbWk#FYDNX~nbCkg+#eb^eQtP<0R z6Y=T%&$R%11WW6AA^D}y#x^6mFhV_g1v*ZN_YG*uy;wc1Tm|YCd!I1ODlWp-IIoxu zOZaW%S8pA`Jt)(!$jY0qolu}o0z7%n785(q#5x-{edV~)U+8{hy2Gff-pUy+Pqg56#4bme8dPNm7jo zRR~bi=PiP?Dp^jzNL=qeVyr^RH%$(HClebwlx2W0v40Aom{nqn_lfEF#wceqO2}tkC-bNY*L` zSR@f`MM3blmj@ZL&mg~tf%a!Fg21#{p$UDta7d{tDh53t(mFa?3lUMCxrp8ic)X7# z#{P__4dy?^dg+^(sKoSlD;k@m_nBUH8PdKGndh7Be>~y?-bt{CU4=W4?I5#plJCMt zae3v)g;_k~4|it;Kj82szKuds;ui@GK442H>F-xkgO&88R(?4p_&r|K<(<9YjZ^sT zu270a%^~1E1a}&Wp0X_l9w#{^%7NqY;`R8W_@j-Bumiy?9+FHiA(2iyeiXV8#}bXT zY1<6z!@{QQKRT#bx|>Aqu48aFCn5p&H)@#4k)!5B1#Zk`Q#)em;<3*rTG@m3l>O&N z=_h;LxQ@-J$T6etqA6Ra7^MTnA7z4gY%yybD;9MQGFTLhsy-GMKjo$g~ve5W=;7}!&oYK-~KjgsHomajCF*ZaTtC?4S0{dLkZVEF*G5$4Y} z-)3Z_?G;qm4x_7~nt#hR+gfin=q94@VG2hYY4zfP7ye+iTWRx$4x4+V(D#E%MGRO? zT<|xgppd`Wc8D2I*hGVG9x)(>@hCjNQbtyO$n-N_bA&YRLB3!h#6%VoSM9GOlp}!eE`VWe(IXT+i1T1{@>qy`{vA?GxxqbGw;CHhihg3 zRv_n}O8B}Nf&u?xc-9+=ZDofKR%S2+iBTVXGNp-!`>cL(!$SU(p9G(xrq zkXJBoElV>kDS8g5)1P`tHK*FSsm=JV-m}}$936rA^+gFBi=n&LL%aJzpJm60FOS=g zDAodILef|&OjX2esiZ0woH~EYk`5v-AUBy!Vk*STA)xfrnG}I8J=rD0iu+^H z6IOLyboV-x4Yl@@ID`#RZyhEgSnn{Fk#Fx5Cgf#w*$Xy(3s2p&4x7j&R{1kdjG6e7 zsq;Ru>0vto{X41-e>-3l_23|xjwHSwve8Fy=x_L?^9-tB7uHR0S6_34oa*Uqk|IFS zLSc-=AqZv^1`rCNNBVP*&4|QIJz1<#*YUOKd{h-sInWi&8*ty{Yx8(fDoN zi>_VoJen9x!6<}bd)&61W&hTZYY2oC@jqK1<`h#)U@2QRPHpG@rWpU_|0o!(rwO(h zWZ+8HBj;P}o9{BYyD=kKN^qv5HYa^|ZL6g)^qq4xg zisWj}ULWOmQ{XjJ3Ot8YI4wjb&iiFTQx3k$&-z+Xbo3H8Yeu-bQHw5fd2T7a=m<6v zMkioGIDB(H^aO`7(K!*_Bs{FJ2U1vNhQq&|antVa+>qaj^25m_{*|O;pHa&!^UtwB zOF@JbZT^G|e^Gm;h}nW!qw*0xBpHU58{i#|-dljpvP1sE5#)yAI$LEr!x5XB?{PC4}SR}yA_rmJ%g20D!pZVE2XoQ!f9=Z{~I(4Sv z4lNtPk1aO|U!dK$I`W^3q}cDMx@n^Rc0*3wvlb&4ndJ!F-@ySfhHUxc(M^xY0qK9% zeJxKk$;LuylGaX2+p%10DUFQ z&`oIX>(|)drRwdqMnjr?2(WF_IwQFIFIfr}kvLi#SAorcwLPkS00s8nw49wdcfBLN z?2DSnWUd&Hz(RlXCMKbUlTD{{ChJ$T*+(YT-j!w)XgK1Oc|YJdL0}Qd5c=E0vG{et zSJHo!%bJCRzc2<*WE-*6iBg{|-%*`&&w8-i(%Jbr&)th~DlNMYnb)DAuu~ zAB(wiK!L-pj_i3gz*?V&o;ah~eP9Ax?TO;wGjx7_@**@Ztf?$R2Ob@)?DDg)ImDf| zX7mWNvf8m`Ceo{b`vZx+s}CS)Qg*x%Jf6B6wzdM|Y9dYFu=uwd%qnt z$9xsD6iH&9k)OJSPyccXe=cDM@&4p{+d5j%Lp%me*HrB*HfO(=1Q)h%=$EiN5;pxubVkbnOYDR`ocV6J_L*JGeG z8Ujy?f2!@Vjij=H23%ejJTMs@EXX3IfTB1P7Y~BCHxrrp;=_lhe4jUiNSq(Q63(r_ zG##7~vaXd+O<1CD=S(G5u!n8HA*&6MQ0Rwk z!*2Z12+M+`0tdet3Ct(kv~UnN^*1`WSjq`SQO}f2%_S;(Yk?cprK3Yepki9ZiMUF| zUEIk{4$sOxGTVn);W|2p#`et4Y&65C+?Oay`?s=necy&Z9`)kWr7=bD1?yh$wZEaFR7(JxaIMEB`oj_Sspg)Z%RL<CK!G7}U8X!^v77E2JS5ci8`4vo zoGa+!k|~7E(I8zkDkDM6xQ!ao$jh_v_~wbl{WmE!)R@y#-YJ&Aa*Z0~vFe|_T+}nx-+n*h zw_MMLPAK|<^2a0yo|4jgBW=Dq$|Vpg+LFK3rGCDAwp*?_&yMBf6b(L#Sj#93Jj9RI z2Js1j;_u4Nv*h;B7hL>rii66JQiz%!8@w(-@uz!yGhB$~U zYjyqYDM)YSCr>gSstwfS)5WWFg?7RT`kkWF(^wa0T({2Grs@|X+G9t$o~Oh6>_nby z>3?Uhw+wP~oQg-kSn2f|Sbq%1*?%uZ0bYtlZ|WK;%%5wMG5%@sT}jz@#SDRr9zNh^ zG%PnI)@7`Y!^Cqw-+@vEQ5G|&kx2ltVlek3e3Z=nBPcv*Dh-#~Oy-hYRWLccN$+%- zQ?$F;6Zq7-yk4M5;Imhd(c*~rlnN;zsq9o|0CkT})l*h$NZd~DkU!1G>Nz9W~GPK>$@VAl6tMH&}f z>7#Z#+j? zCM{fq916TdVbH3Hb1QnMZ8+hlvoHrPVzR(9CDo+oZW>1AbzOq@b0C3batmOnA#r%C zp=Y-s&%a5G#v38mRd7cYsSht6&4o}$o){;!-w@d1zUzpEem|1!8*~(yFYrXv56-wln;poQp)@Vm0myY?ow5K za47N5eWpk+hl%!u5`-lzCDymB-HMxL<<-!?^__j|-Nybx3RrAgk=U(u|kYao*G`HDV z#>lMwBGxy62wF?mf}*-zR4ViOEM%|BQF^p~jY^aEz$l z;UEtf1hupU+F!OP3FyU>r_!L~yNGKu(>@LRr=9*rO%b%lW5+hyQVIuP*qjsLN6EA7 zzzAKfLQivfIMsiOh|GH2`0><>+lLdXV?XzPpUo*zp4g<$gmYo=O6|W-H_*4OIZ#yR zeM+_!WSCBg`-9W0-kPfnfy;7B{(`AGfchg74GqcKG=4-{opgJP+8bzhQt3IWx1 zxWaluMuK0T^*|cccU*IpgA&vA{eH5RvHgRgah7&I&k(hBe4)Ta7-5ZIR+=cwrhARp z&kxZPIK@JqYBCw84ce-tujgy82u2zA+jm{~xm7$nuj?J9va~*5xCl8QsEJE3BA`b3 zzu8(PIXv+VJ}sZOJ;gk^Q)MD?xc+~OrLOsPcfv4CFdvQMK$xgqd2qX(9o63YjGhzC zYg>N})0BIqD{?w^)Sc$zBb^(X&dKfpFH$OM$Y4o#=}Sl?>^Eq2KI6Di_~dCnL&g41 zEwnN$VScJ@^}xL!=Ce0bggvJLAM8c=%+u~i-}Y1mb^X2*KYv!U!t~L9grPc?v%p~x zlx{8vDj-pDs_QPPA>2yhrqN*gD%+y?a<;uPQLf%0I@|6z&$0d)ox+N0>Vt5Bf1Gd| z_=hJCqpV!kf?E`GCy>u9O`A+=1p#&T8x~?n{s>UT)_n#+&{gn$1)*C3BhsAp{@b^} z;E-e@;*H$;rt8@vA&GfccmoE}i0KCH8M_Eh&w(3$Tp){#b?6@yoCdpH6Be-lp00VS z1GkCfCke|w3u{MOA#$EBD`J*4%nYM2%qAzng46dRO>9%r;~!)m@+Dp#$#2tt4GimE zYy;59*?;nFn&h{5^pgssr2TC~(X(CF3*Ge`>GdrySYQN0VB0lj z_tVpkJy0N2+snpZ7rGiZ*KZUCJ%%TXVaUD$nPsa;B-sd(Afeju9g4HvtjB&63m$;A z$mfXd-!$Tb{@ft2^^G0Qn)g-JtMbZwqnJQ2DoaOmJengBW9Z}+f43R+(h@b~0h3v- zX-6c-;%!)J|U|6uzxnX!>vXpBeEZdZ88mTLhuEI zl*KM7(q7@O<2@+R37t?%_4x@dEY)xe+hnW{gw^|hUQhb%YN^q3aQs{KUF@ZJY}R$K*YH%d({7c^jtqF@G*+0 zB|l6xs66+j65+;kwIk%R{a*`?DQEJuvz!PSp@{}+26?t|lvNmFn(S9S*8dpO)i~26 zI#Y8CJm2(b0XITIekn*hqR{j%iU!U%+^F$_XYAaU0|<>&3^)Uk8Ftb7|}h?S*Jn| z)j7P!s7Ouw#W)-O(VZ_FFPUN*ZqE`Fs)>$Ts%9XK@pGnbWvbv@WAb51zzltt>r)qL zxiSWRS(q_1T}lguI|8j_QkuD|8Ki|&A}J(91c`SLzkk61tR!qA4SMM;TNy0TG-|>w z?T+oUcje)H+9EuxKthsIG6LU`G0T$BqMadD7uWxu3Gm(Ybep@YFr=N#BZQE$S9-7b z)2suqkPbC)x*&KdT(=C^?#1$gus00j2BWYxhy;T5#ADr-mn0Ye@FvXO-Igm{-idb) zOT>$a-HzZtQ*Gnom%E5*oa8`Yf{Ml2c-ok{we3knY(3*4tylinf|EP)uPKuhmH)iB zZi@X;r7j{8Tk@+p(gIrZZjmbPNOKaL+lDL6-mmv<&!Aw?x8197H%e8OzW4^YJ|jL3EwBbNgB z0FoWU@MDxb{)2DHi(ZeJT-APEptsiuLAnjc^Qf|KGIw_5xnD=EQ`VHnLbA(?1ny!K zr}OQ(>Nt$w0@o^}W^u3ETqE6Qd-=+XgF8or6pw?n(7Tl-i4P&h@DZ0SJMSCT*&gyH z`nZrO3DHCk45joJ+N#=_xQ~V#FTH>!EaxA{!nW}fDcGm3|7d>?0CYFV4y{CFj(+PI z{6-W1dmr#Bcxqe~qeQDBAal$|LA3p|n3a%1yfh`QCS#2kPX+bnt2TvMTQ`L*%?svp zA-!RDuqUyFl!CikoJDt1N{!2)E6+nZ0)Syu#?c0^<9!!c5pm71`uCYJYErQFOXFVF#;Vie$Ay z%_VCz5*&@bX3mTzG(4}FU0iJLoiB%=A@^Q@Tq?N!{^DF^Cra`eYM)LqMo2%Z>K6S4 zFR8AbwiM4!TKSD=?yj|Ip(2BFx%J(337=7G+_?C*@nAe^;>SZBTxV&NapI`|F&+5S zl%9&VSh>!pp|KseX!P5)76EnzL6EVCO^V9a z<9Zk@?MI_(?CMK=BjSqD6$C_7z2n63tVW~_NS7hIE?uy8BPAjQL|t2d5-&gl$VzY}I+uo$d^^f^>2aX)Kj zE@6gz?R_g~qp8nTRujDWSj{5Y3Gb2q*YTZxk>B*dLH?ItZ&l8Rj3)irgr0-3ssI+C z9*;al?ax29)<9adH8zh>oB|)|D)M6(G_;x>EB`|RwboNOldsS8M=dkw6)O zhb44AFW5h)rR_#g0~{es)Z*ZrAdL^t+e&TdOD+|>t#%2pcyaO93uNx-%#8_02OXTM zxSjS*c~La1Qs3cAFh{Ywy^qFZMW!8L4ZQzIZ7N$^KG>EeniE?#k=YO?mfg`_dV-Z|= z?GKAX!psW`B-GoZ2N{b+5qC?Gue@%`F&s13lQ|NlKdhjt8Iv8zi~B)LJ49vcFfNBN zD|wj;#REC%%Z5UlNYaLn2QeV;X|lOuSipK2ivW^me4y&cOJ=Tm^xsBK<flGwRMIHs9rakU8z2dWONskv-iis@t3?F1rmM-TMDnPl#Oo%CoDT6nk7&RU zEJ*YIC^1N$)9*}?rNg^SJd0;BxN?DLGl|)|lX_Qzi(a6KF(`jqCBk?OpC+#_lv(Yh z$MW@v=NB9Pyf0dTf*;Z%h1tevw0+I(*`zipZcMNL*@2lfOj7q%PJwpu=k?^pxE}ktI%kSp|Vv4yR`eVnu;?DU0;hY9AqbBZe%oKz1C2d86Xq?G5h1Or}f? znJOlb7J6eVf6!NTeYcu+a=txld23;BJ2gV!o( z%{pN%R?SDxhRfL7bH+(-R7lQ2^}OlYXi}VM*P5*We;!mNs^o?eT*mG(qy}}Z za=VE0@2Fg+>xxvfDUwJT?{p7pU z-YJ*~DedHsruK;<1=(SvG<%%f-^!JOQa0v^6f5r5Rgsu(R}`+vdMXaf7gndGtHVC| zu%ToZ(7r=hPz~?G14uzh(Ts0Z>b`NM{x2S9)yoDLBR>=v!;FI{gx70HPlfU9e^^i7 zZM< z;;G>D$j(IK7X+ckE{9*~@Ne^fy~!}q|9-v0tg^9T>(o*aqQKKTS>AVeMh9KGxsPD` zOs!|p5te!9`!Tlzh#p$SWij}<>Bz1FAyMqCsro3LKIW$D!V|t~or%lhfg$+vqm_LC z=YlDJ@wjYBDE9>?jp2id9gELwdvZQOCV|r4iY4bo22w7$(NK(Uuavi`3X{&7ye*4P z-FX6yNf{%(Kc4*hy^-Z^Sfj*CQzL~nRaTG^2%CBtbpGQXu*HArGxCJt?TpgLb?0wrSR`R6qi1^7J7U6XUTtwW9yrE}Y9*lc|4Jlb_3b7Gyhvu6FTtkP!>s%6DS5l8{=yW#O$O zU~50-V4IeRjbcw@%TDq8=n)ZtsN%|)l{)IkelLsz~z27j@YmfR4-<% zSqz50cWT!6x&w;eT;0_DNF$?+Do@+Li?P)httet_ZolRxi@brpp$c6{AUwa3(r@4r zsyqgj3ABXR^S}>kcazG+S#EHJ3yF@<&!XivF^%#H-b0=xf&=aQG1=$gD(T>m?6 zy4;b`gZ2H1swNLgX~<{RD_ZK@@*%GOVNpz0!SAzj{Bar;XdqhmZuH9m_;b@D4q{5~ z0*?1fIMQI!EG6@7jgvRozeTrhSsc^*-$HqJtN7oYs;a)YeHcr~yH38&oGc)-xcb_r z!cZFqx-<~q()A6QW9Vaz`KEap%PcFuprW@UH0%B5)=c8Qo0Olqy_ z#+f!{pM)E{rX~+b@dev8>9D0VBUQw8l7^&fxu`*wfQ>T+&B;y1)0G%MP2}nXjf9>V zKG7Ju&CxHwoxc2+^CYFa!>0Z0^hUYdbW$ayMGdvBYTdgJ@PdKXF$5^Y02>k%`fGCt-Y2qaRhy><=N zC3QY8@-Y=N#NC&eS)){{1lu%jhN{(gKYSvs5zSGp?3N%7Z5LVD zcuD9p`)q{oQR8j;{8IY-lEw@#jVWe3?$eElxpP2zKcK6ym5a(CW$??HM6H@M44w`n z(E*~vpucercV(pCZz=_*dB=dFPPG~{y1 zLR#DSMxoI-xnDvi8ZQa86MgM3u4C1&`>0?kP3D`+x@@!`-bV{_0B`l)HWOP;K2WkfzF)v2ZsQ zjT?;%1Y;nalM#wV;)_`Fq3HJJ+Ho%^j(EM{Bu`XE1MaK4C(9ggaT+jrMF-15( z|I;s~ul0nsw|Ihn4TT(&Yq-h<@uj-46q$T@-7U-VIay6~oShVTC}Tp9e+(5lr@bdO z)5ntM)v$8R(Y~FAGsXeN6P1-iJy7Cct(yW2K@*}tdX%jnzZRXhaD06zl_H{_3xW${ z0I6Zs$-@CQ#q@5S&u6mX#i^T4-25u$E5``5y zWqW0H0>#h4160`b+Ekt>c27oCi8TSmL9kh*RI9Kt;k4eB zc3%spPY$wx5bef{77?V)V-1`9HbKk~3N;Vwyjs2wk6~n5qFiO-cV~{gyX(1^(Qba{ zKEt)~WF_zWyuYggcR&b&lP8LD?0nE^$CP>7So2s_SZ1#~-|;J)HbNF7P($RiRy?b_ z`nnt%$vkUyTH4T$0gPrb5ZSo&G*Y|8CoHBatn5CgVQ{Vot~fxmoj&}#Yy)9cPWJ*$ z=g;mCpx<(u-6f0iS4IYkqvDOc19uaW=Ut=j< zWQ%DtcZq+9`2DFD3E{I7cL>`ocJ%v~;Ni1;B>^JdG&w6WwMMC9dXA@E;8%=XcLkpf=x=>@I+NJHnZakdUAcNyVm_H*?8LJr%#luPPN+J>7Uv;Li8Ie(}Mw zqa2|SLW1H%k~6aw7~%&TYkjqw6(Ul6C&aCk{8|159uWxt{!IXh0K($6tL}o*&wL*J zEsYCq6JWPII#b`#2}~$MB8t&9zy^Yp5J}`a=_Iaf72=quM(lq@4$Y)IwUNUo8CyV4 zmCYpsK}-3Y`N%DXPM0Bm^y%Us+1?~R`yAG)P~ijU*+UIaL_kn8dIXOp70ej<9Q>uC z3O3gXj6gAyx)Q!--8S>r4LMjKh^s?%BmKmvAFf2Z>O8HHa$qO^t~9t$+83%m*>f)w z0SHo2YtpK`$#B8D|) z(RRo(-M}ZA)d@K#fu+3627;JDJ^nqnhU&?q$rpJlPwr=F1S9;5x9y9mll5}z*|k6r zqNyvyS2DTt50&U%giDogvqCkdx8DvNG3tbb z+A*yxYK?w=CR;X}tpp$dL`PM9OXZ#)t&##*^lGorx1CkfD zIWNKPEX>jlwAVJ7_zsP$&ILA_l5pY0B(r||uQ74L4M32*xm1o2K0*h!G*P45EAp)(v(;RS z_tywBZQFLL+bS?LI6Wwv)|cjo+OovLGB2Hh@Xq&E#f~Sz;`_?DOFoWZcqP^>&bk{S zxwa6BZtup9QU&xm=kV?R*25ocueQGu&;vmx+7Ley{W@R?VoZ5erV_;oNMO|pXn>$s5l5U7mh-Q? z)1fq(w8eoa)vWlnrG+(oCpAlbKPf_iAir(C#4l}4ceewz6^*>RZZHh#$BeDzgw*JI z>OCdh;HRX|VAkpaK<%v(LQ1_1#QuKR`z7ONEHJnn*wpWhku!taBlh#0Nr% z1{$W|XkyQD!k6>ShN>iteXpD_04NVTh9jkQ#=#^VnqD(3t4tTW&xiZerm?SWmBbU{c-(c&XIGgkLicjj8-wJJETtywnt~bgqv9j0Ce;*>0<0G>7=K5eWbZ(OX>orp^|Q3cWbUr|%VaIAgZ1TW;xx4ozq_P#OjS zK^ZTziCf)iv0ZC9n($NTS2>Wj9C=WB8jBQ5V}G78!S241CPul#yCn-%t$jV*+Au>-9s+gsc}=)Hol%S{(ui$|-c?E1p*QhPNWf{lerE=`cQR zsKqT_EQ3U3$R~0QUc+U|=ZuQ}%5lGvf_NRWiO|l)f6U5_9S1+E&velW6HGGcc`DO4 z`e|;Mroc!+-w3DR^_QzoGm7uwiJn#-rph=#P@#Gs#K-!}q`IGX3g>L^5_OQSmX7eX z|6bGQXH0Q(A`lWZv=98^oT&rVISw$c{Kjf~`&G!I)Ka#6-9oY?qlP3E5*}2W^8N+` zON{lS@hA^L(Mck6!%=|p$)v%)Hi+kPt~VSA>KMIBoP^POPU87oj(#jKR1ntTlp(nw z);l6lY(hh127-*Km=%}gdpNxl|HVeuTG*vLwB*Xs{tHBX;jhum+^htG$iJ-J@M!B; z8WUgrTf^VKTff?$u4Fkkg@0qO>>B;f0tC&&ZeF1-tX+RBWVTe!Q0zIKGO9u&`hQ{o zGM4EbUBFiDskyFH5L&D?~!RWqKj#Ov@g6?uLSAPXaTg7cXdoBU*fs;*>D=m z;IG(Mw`ciet@hsBQwIdyhCNK5=JeIariiy*qK5YB7`fJ3pK#~bUo!i0-Yhc$K{7o+ zV>?`V=KKrIAe1|oq&ctYd!_rpWoHh~>=~K18u0grEH~6o?9ja|VF__wm2EYdm<7E3 zpt_E|q>yCD8xS}m1UqH^NXHV{+~7*0tPkGE$cu~~d|i!uieVBw!1wha!XCjY8<(-oyD?Y^Uf%#Ec)@d}fddbqF{l^AKiW~y453Lh6g(40}^Oj0d zzhCA!%arnrPB9J8Y)ytUsHTmK=0Qe-dTg4XXRrB>x~u-^dcBAL&NlIopqYz~7C>#3 zE#v1z0f5TXC1F)BhxiI<1}sqQu#0Z%d4v>xzt2Ia+-xp7h{OUwMMv@#LJeO%a8%zl zd?F}XpeoH~zVF@rUPZ?7KG^cC1T!9>kUKM`dx1P4)1nx|x~?NF_dTkBZ!q9ssI2 z8UF^oZ;a60I5>yEE-@#dp?G;IDKVYczMN~Kt(Oh}d5kbpv3L}$DChx?mlnDp@Kcv4 zyYk%Ps5vT7Dml%V0H8wlz9H*(A@@V~5`UU3H?Rm7vRkfsFG0YJKt5;(0zu5DOv z2^~o>!^%(`OnyFB3lhU+&B&10>Hq*}wU!N&rGT~%_c_Xkqiu-xxakkLq^mSs zvxEispUU4zllQqcnx04oM!%@CcZC0&!Z=9sKgUXBUp8Y;$OV8lh4A0+$T5)#KY_gl zk|;V=``x4pKw0Mx zZUa=$!fTcnu{E05xXqCOpdSwiQO-v*$$3t%qlG&DvRx>mowAY$SD<)#Yz?(9r2r6r z%^VspH9~M3UDXD;o{M$44xcx;P|(;|lY?;3vH)xkAIc=kCn1FQwgeJ|0wUVCj{^4U z2?8xu*2b@t zPAhopW9Ap8-pGG(embkj4#uqA0z?J}z!e)30BE|6^3}0#Ym-IrTKuK6WO8Mr%nV#@ z|C~j!$RS(DMh5`>&MZfij%Zl@DEgz0(N=rYghA20VDpoA?vG&R+|y4+04R$D^L`L6 zZiOM5ab}21OS*W-NxyGJ^v-zsG!rjQ4g3qtf)Z0mm!x$ZFB}K+rKAx&>nLCy#&lY` zJ6jpf9dir-bm`xo8|ErgZ4)>id##_1Ifo!hp(EKqZ2Uz>(#-=N%u+AYeH@;F95*kw z0lzMABn|knzUKabME>9;VlOSxIs&tU=oVjF|HE|R_>cz47tRa2d6Tw3Z75+tS}QDN zb5ka20EhrkiCGl3Q)4WVO6MhXB0 z0FmTU-G9(q68P|}T{C$%1d>M71-K(ol}Q?oPd|h6>67P#Y53`$lI1}a$Y);+Q!ct* z=G3)+v}|I+QSRS{!JMr1uo%}LNhw_E1&fOSk`OLEKy}+x4ZhJG7?q%1HvnhcB38Yg zgp-4TJKCQePUt@2bSBs#xe~5qkJeXE58A zgQ#aR0F)|?w<;d3o0Lw0kBOsQ5`7!RLN4PkT>WSFotAHCi3R{-iS0{vwiziS-TgSf zbz3#jp7=~5-nzat_dN08o2T;dgo-&t8`DXOg$L4XV*havASiHTQ(}ysC<60N7$} zdHN(i7&$M+nFS56##ws3PL#^Tzm|cA5H*YLSNk{s5bQhpSsO}&Qi-*?H;_+hJMZ}W zHVfNJ0a9TT)lk*XOaSQSte|Vlusfku14lh+62bF;;;NQ#0G)_12_Qbm-wCz{VY5EE za)@Oew&LG{aHn7VVoWLYlX5-AVkcMX)i#IVHDby(hl4$pQJ3TC9lG`5%18NET$xwG z;d)gs&WsTVz`HsR9A7*Gk6&kLkjOa(T4l89aqIy=`ETXh*7FmB5Lw_1W#6U_;yDpX zE@rSJXGB6jKBM#=%al;bj@-LhHm7=)0RUQ$L^DnsWMFId{(^tq4Km`^p$ug8!$pJP zyLtMZzmyLEolbDQDPoh+Mpf!js8nbse{$Mpv3>Dg>8U|jC*8LMXBUB=HUOvH6x)i9 zli|W^s~cv)IGlyizL{KI9CmC)Um^e~C;gQJgUWrchz!)TO5PW772m1TL}~$_&mul@ z0dA`ZR(07g^SNruAqLyq4P1oq($KYv!Mm@;IPS+OOvX527+|dg9kl(5EcJk1d*TS0 zD311APC{w|-=iIcWU-^EGN%B5KAZ@Y^TUSeOz)%b`(P_)IA)#$FH>*tW1W?_ZZo36 z%s+qm`WRw+rqQS8zXA=+rBls);oNhpRqFrF0e@B;1&+$U3`+>UdTpzDrynn79YIPs z8e5}Xi&CdX!x*6KV7GDrh%}pmfXw7hsb6Y+*kdi@(Jb>=*KB^-Wk_YM0ezkY98vXf zcc{Q=&(bnDHK3pr)Gd{kIcsL2x%d+7H{CWd37AnyUh-3 z{CN52s}&24Xk8Ql^s7T*Ou6B=NUDiQ3`4){0gl^4wbLxk^eJ-!w#GqL763GG!*yLf zC6YA%e45R><;u-2(~an5ay9@egjWqCxB&a9v7C84Yx|CG_`OZ1sp}B!lw;VsC%6w6 zZJr|jmWDwbn5F(+%>c*4N72)@r6sI;N40Tsol{T&GiyT&VMD{@U~HkJKdb2q`=s(7 zv#^PewO|SUcu%Fdx9}_R!cx7u91;LPZ;w@$@qiK-r6(f~X%5=mli%S8+~`lolSi-1 z1Uk@QKb45X{J0hBv+*rC@kI+W+<{)uvRr^jlUh+MMyDR>1LuX`p<{tDtkqWsmk>xN zE$iQh^2E=X0{%$uT}RZo=cj`8e)%XI;{NL77nf6z#vyGLl?=m~7u~E)d6;{jdyA+0)aQH@lf)!a4 z034n=sWJN7AGM(SGJAbt{fi8%G`am`7!||dhjJlU=ft`pI4=1wuD)Yy_-f1lCDKe} zD*(v-nja_Ph*8K027nAO_@sR8hx>;6r?H|WMWbw48Xw@N-7q6S-4DV_lr;blg7m$T z&{U+gOt8?4W`GzuZu-kl-^g)^D+|$!fs;N z9+gCY9y$joS+M6N{A6>F4zn~)S)2S-4}O=h$)_3+WGO8-HsHS0-~8=%YGvS%i0zPm359^r0)ee-xWDcT1tf0!92FzRr=9Ityg2cXY=zr zigCzsEqi+LkU())Srk?3cmXT`qz_9W?!U6FRg8Tk&s;&L^T+AsBfnhEz(EnQK#W!Z zoEd0X)z6<>&G2FdP=@mGyKD8Ydr{)I zPq)VqBYE9RpAwXwl`W@(qd`{Y=YB-oE~-c5%~CU+&hd7U)b{)#K((ZQUf|cQP#HL* zcekczBU1r)l5#dUR|Qe+}%jr$Y6^Qo;xqY70a5XypH580(+rSfLY#{Mr1FIRQ+1yv@^SV&@Gqh zWj_yU0P%Zg1PcIU=?3HptEy4lhs8az4?`65d~HXijrik^*|wST$QT07*GFsYpnjDb zmi-5EK#jk|8#&lF(yIlBCo`d%_|$c(6^uwOO#Yw(Aae&R&ytIJhN{oIu#MYy=SeTM z)-6vi4Rz0U>+VYEh5{hYODufJDaWQ87MV)N2hKPn^UiMU$eb zpyP1~x~oFp2QHzWsY<9e}`YW3Z*OJ=e9lZ-%Rj3EOFqK&{$ipyu*z(FuXtVs;=Tb(Hf#!z@6GFW6)&&3arDWXFf2rwH8ASN1(v+*Sl`+#h7 zfMVjiJL?j#D{Lj~7bSY$^kxJTr3xS~_!B{jgl-uPcp&#hOby0Z!Y>~ouN0NtJLolb z-&}zTATQ4`&PWiD7yHaD*z{OcX|_YXCJK7x5SgQFwwF#kAPOK#brH|g3hBafo#6zWre?a5Mc{-0 z6AB=yK5eG%oPSIsD83Edo(HDuCVUHt_mY=oh^8Bu9>@v`Afk@MA5sRKzcow$&{iIN zNPvK9K&7q3^;sJX%p&aO5efq!RWtnsu=~$NE0nN?@eW$gMSIWBX{s%SmQum^;Mn$r zAO&v8Q8uoPR8rvhddmhsjY2$ZLkw@E?y+0lpr(H@Uo}RV-dM}Zp_Qx!J9oC z(;Q8uiN}eF-=@$5`y2rbAmQq5)7{i07{S1i&oP0OA^-pBz%;t9Jb*&Z>4l@8hXNoh zy)3mA1)Qv;AHRf`wx>BGDKJH!9oz##UVZBd6HAf;AgrOSxx<*{W-x1XEr6o!b)=PO zaL~=(cp~sRaoU=|0RkXT?;KTF43}IgD(}eyFURdKtXM*o8PvY6-U@U}?`|prAfH=z z-Ca9OTQZ&dZDhrAfH;d%3RTR-AmS~dkg;ogB?2IC;#e*qb?WAsGHr!Y|Evez2uX+= zz5g=%aYlXa+qIzrATP3*S1|5$-NaEPpyRYK!u>cj=IKW}lTY%MlWx_y76Kq#uW9g- z$^&5>I25kVUApg(_Bt767M%1u!jN?VLpT5eApUvh-d4NO)(=F}6QVQc&%)r=z_{B` z2ryh(;@zs9paUQ%XdRk*34+dU!I>yCN^~K<1`CfMs9k`-=>FW!jzgORAlZbd*Cwca z`KueoGe$ZMw3I*$`uT&|!2F^#hJzuD4Fe!sP_ZcG$#_^G>6|*&bR-grtm~^I$2+WQ z)O^W+AQce<0U%*vlUwUEh+&pVa*0;yai{o@s6*-1r1tsm&E6w0yN=cE>lppABM zOI;5IAWRSll?C^*3fFSo=)2Vz_nAcw+E5}^fpF#9v6_ThvH-IZG+?53-w*cJoxWqTRx zBOv;QnY-c)-R8R0;biAM^M$U6Crd~NkQ}EOL#IEMVy*!MAcc6}3ew#SvN%)1Y-E~Uv^1;& zAfF+7@t6&}g$XjkdfK{ITv#t|U_~aJq3$jz4V%SGf&w7;6UC@KHyhHtTVxsmCCpOg zpx#t+IF7#NhNTmHr;Z>30wBeqiY<;EW!_>c0^rr>#iuo8dC8c|2kcW_>Q^-_r>r1M zl+*{%1&ZqRqeFlhri-YQ>Z7O2-FIk$cL)-VJg=$%0000000000008^4Q|g1BHujOz( zq4Ys25^1AJ-qK^$OWFD|@ZMLvg2p|ANV{NI?jYf0QUU~32sspcD@ar^;G~iM&6!+( z4&T%PoJ!7577p8PF(z$xAJ2UU@O4RrTa;Pwd1;jU&}JAQCp3F86_eJmh7M>?7|zc` zSm19RCdOIVF#lBjs9sh)VR8fV$x0LyR!vZ^5uJ@kk@J(E9|+Nnw98?uE3Cu%W4ydOe(TVum8v#t{v#?w(Jl0@Rg-l+O$slWA|9LI;dsv;ej@sJ#WM*;FU7AW38 z7_$ciX3y#jaOomUFBrarO=fU4M5jCCyIolug*B(D{n!4ZDU_IBNnQh>25-V_zhrD4 zDZQ%+$?6<<{eIfZ!gFT=pr@i6UbfAGYcZkthi#v16!RYV|FN1FHiZB*&y& z1)&Bbu{2!`)lo&y?b<05Xa_MRIVw+p?m|q?Dx@vzn`9WRo9Lv~M-4uM#Tm(kuAbPk z``m&evRE591Kkwp2U3Zg^fYtpZCcugGv|6rVlCD0K|(ZNJ-8lREq4rUUoBI@2|zr2 zgajD2$ItsC%7a3j?}h{!6o+L?8f+fyrM}I9hYE(HPSbV$Df8#wrC!RouQ9W#ck){6 zDu|tMG@>EGv19HhcI{FwhKAfT0&?`zqy1 zx1*elLUKZvn?p8dsRsZ60K#R1-(KfbH@50sDyVOKjead>bz-a4qTp9x_#K`I7M%#@ zEJwGtr-3D8X+pPLORAU}oATACbkn5z8+t&iEbTpzMeivi%E;Ih(_6CTa=j7%iC7t9 zR^G*7VcGc>86rzjQv|lMi%3qcpP8HhSfp+2VEHySxXKP^vuzmv79F|%@_+sXGS0aE z!#X@TG;|Uz$+^4N`eGbV%6mkL85>tzPFj~w6;Q%Ia^;o`nsvTjf7?TETYn)BDz&?h z836X#*Z*vdb)Xe3urqI&dl&({nEx{o4bxOkR!3Z(EIkE>`STR~L7ZGRyF{gslUgnu z`_ry`*$K9KVzI*=2Rb%=6#szl=b-?-&s%%SqKSS^lONFA!he)lOm;m;48uV313G~d zQ36tN8$66%#EKm?oI2;;E%zptB!;cPCy%Y6XL2_=c~l=I-&MDh0_D9D%} z4Y#g70*Qt}8sW{Km+~f2L0IjbcSS{{fyhd{AK__h>|^D8x-V)M56I4UXvDeEx@c`( zsC|?dwG1VHkXVznthN07yzu}923A276x=BsIj91@Fl@V<4BPG+=6YyYv>#SF&X8^gY0j1SDHLbX7M7@-S0roUdza<}K;+vgD z;1=l~7p$9ad@!zyM(Jq5GF|%*eh=shwhw#j=L5V1(XYkL9c!@({&U(SUOhI~OQz6d?d(Ez!9yZTJgDg)+x-z48}c zE8s~AD%HH7_|K!HB`#K(BjM55Z`W+mWVYxBu{4oVaPl_6FCZ`$#=aGUzn$0{SJfXiClVI9g69P zqv(e0#ZMIA9WATKhZg->YpvvL4LrLj3XgnhD-!ko79`TmA}XR)(O-|yImB%0S%$$T zl;zxw?EY7}fu`klz_o-Dys1BZ3BV(Rygsd#a_- z7*f!9rHdaV(S#sm4B;G7gtpt%UB&rNF21n&AXaP_8;UMV;wBq0#J`-oZpt-Y(zYi% zRu5_A0$5%DQ|DX(9p^k}&je}wl?1>ZAm#vy;mjrv-fr6MY?An{`{VG@BK~+&7n)i*^X(Yvd3&*s{9l7^LYQx9tHFa|XQUIk z_TUY-SS=uxB6_?-e~EZsCz}FUQ!w7lZDBGs9uV~?^zaJWGOizvLz*6Roachm2JB## zN@di>u(ijdPJ}Pyv6if3+E__HqF4fv(DWGKD{Sh&v_2WwHF+9BIqXv5HkIEcKP-*c zlgDiLea*A#2^Ce4#?v~XjRFCs=*8qwDzo&B6dCH)r(Cv6bgM@p1|PnoE=BNL`am9n zU0Gi)gLvlEv479ujA(m|3yigxDHah7g+8e>M8{NQqsS4_rS!F6!`_F}?O@!Nyb5HC zCV+Ffr*PgBvCLJwKgIIqk zZ=wv=2HYCh5&lnJgE`!AlSqx_B0fK6n9gpJX>$qQ63V9|rO~x2-TF!U6e4Z02 z4lX@KgixL-vLjW?t~nV&C!Mm&Ps;BC5+90xa8?#AF%yZ@V^!eOCu5M=#N*N`A$A2J z7`491GUFigha!WItly^5;|zrdfzaKi{MoxhBb$%p-CmnefZ@7dp4+cvS9S0^yLPL6><>*Y&es|T>}D!mBy={+nyWK%7M^BD&gV-Co-d zimK++VGuaSdCta?7b2(=FF_S{XuY+p$Sn95;8e?GVM{lxFNzie1&=vz72)w3S%(neqZu5sy%$AM3qKL#yF zLf%-nA>GLUJ`_tbhi#y?4^LQL2F0ySX!a&q;3NmVg4Kz8Dx0uVZ1lbgLI{Fb#CcCJ zV;b>8L|x_wXwKLbed;h72o=sU(th2483b%=FLtLb)U2meG_{Fjh+$U1@siGNBrJ!< z_TwgX1ovNRTJ*d3vIn;}L@HDHbzBN~?aHi;6aqkeohr6mB^AyGQ0FgH{KT)+s8@Yj z7Nqs^ax2t+BivS5F)YIYOt6fwXS{0WNnGfX+JM5J^%3OoM0+@=37`lW`%my=FV{Vo z$2nkt`2&^Gv5OkzD0Ckzz~E}R7LvwwE|iqxT;D-vlRNSlVHk+Kl>5z)19mQMRa0c( z5)8*&#j`6ktzw8qW2t3Sn5Mq=)Oi^KzU~*feygf7Dhvp^?Ie{g#M0Prgu}HNiUDN- zY8lzmzB>Y!1_v^234qEosD@-u9Mg%o=TIiLDp%>N&2RLcOOY=bi8q^+9iTI6|8`E$ zl=Xr~qH|U-qTvq=A}-sj==V=8!;YS&A;vnXx%o{$$}1~rbU-*HP1UKgj_4K!^V}>kd{-HP#pHhMoH1kk>D5P5=Hv295E_Jr6AV-BPXwDgQ46XeYIR&sQg({W4}%MtQ?* zN2pI7fa7%(5U2{*OriRv7hCjRakEj`!MwCK@)ix(c0e%Wm1vY39IZy5hvIaZ7F81$ zL9jc|2Z(?Pm>(YTu?K5|3IhUc5A=hoTp{8F;8W2rmzm8>rQ3lc^#Vk7MTV7eqzaqkfN) zoReRDOLE^$HAG2L4qrHw=!n+o_5W-^Z)VkW_tBfuerqv}PEv}5o>A;VA%qFaJuFvP z0Z}HLEuY-lYm-@LX@u*po;))mBCNKTA8j8h)yjw3+Gu?CD}4iR?y*g!i!^($rlB~| zGK*vYrd<-Q#?lt*vuaC52;?Pe6a77Y>$Lg|^~OArOyl&c2$)Q6Zu!V&szNQQ8@7@p zzLT}`RMpbfzB~owKV>Bw0W~19?9zOa&)r@qV@jf|PzZj}mHVfMCbiNH6r(Wi7&?IY z?4p~kw0BEWBv}>jg;V{x@XR&MH2e=gUut*56i5K6dh0zmeXBLMzn`c`zX*k)o$+e> z)v))^v`gLy8v6o0LXTkZd1!uLQpa>|w*i5IBzO8Uk9P%=O%f3zAENm2Dp+rd))50v z0!Vm7mV<<^P5!MM*S`)0^1-5V2)qu;3Cj;Uv|UFbF$$=WxeA?sXbYLeElfqKNB_4f z48DS&;v*^=KI(?>dNnSCxO^SUvklDLi6B3gh0QMAD>-~r~p zXn|Ur6HZG|OHx;k9T6r}#rEi`18Rj+((F(K@hZrw=^uuZD6J-39W6Xi8u#zq>!OJc zmkLF`>h)_ZT5TdSAW+U`>1MW4{)ahLAD#}Gxxz7`v?kUof3!6*c(EhMEVauT1&jgF z3*N>a8`ZBsK9z@**5O>b(&pD`!1LE>{`(LAKdI}2XkfedEPUoO$IuV70bmp zOLGv=4arGaeOdfA+r*>z$So{TbOgcmAe;+FEqOs*B{y_(<<&J@rwxa)^W@X53HZlR-1U}+D#Q5@lrFpH1?4-OZ|j<}NlsCq z_;HWWfux6&ye9w284(3~C>^)eDJ^r^;HsB(6dmx+FU}jMwnvZsNyTS23J-$H4^&v~ z7pf8w*1Yp){|3P!TmkVtWUJbloaaT$dtpxOY3fe=EVWEjS%0rZ5Y)!K2X)PTExO1k zR0otge$fuYg%%ax4UCsqLxy>jEc~D%EM`x?wuez1M#u!ztCW46gp%dM4d}2ZSSW?bYQjJw8pg(M0mnn;PoP0U3UJ{0eOb2 z4?2BSa9(?Ire>A6JuPSml4Fno<@cTj9DE8`8!W0P@QBD`UKP1rQAUIoA>KA!jz#@+ zq+f{7Qb}c@Cr>QWOAs~U2xe6DFib2(uq>!OEio4_0cAcmr@bF89SX3;=tKCYx1>;x z4ODQ@9Do?_yW*hi6c8JWIGunp8t%Q^>5~XrKs&}nLwPHrK)oPHE&WWVPL@SQzJrd4 z4ii;!_}Rgw0~lw_h4kK${~7K`@RvVSF#<}w^q+Lf3-@HILY3gu;r-8(RE&fvezYR+ z`mam69ez{>FirSW6v!Dx!NZyD=T3u5SdF1T?R#;wsYX5WnHAouz?v0-B~U%wLqWS2 zERTIYx%8-y1tIOaY7&z?N`Y(InVX*%Ex`jswN{jysOth>_N8RLVy z25NLqehmynLj_3)xIpB;T=filt zdNX8KF%}Ry8Hw?-x*~zGf6qw*^jIk>D)XXK;5tE|r!-8Bc>zqc~1zA+7 z8TjjWTh{?grnc4Rh0f~P6!X|P7VjVbHYrrV8;@eyEp3)1Ag;R#Xxl8mKz;ueb5NlR z<{nT51X&0Z-dYThfYaoWr$MM2&~Xlb zz5?xMT5Zp2Lo;HvCh>I*K?VadDH1bDXva~8VT3vJK0qph`^p2cDlu1gFK(}cprv%B zhc;)jbeA%VI^B4#?Z{!~3w!{?uFEv)0y2sS8l<@Ab+uDGcI@iwRyKB0f$tV!?2y&~3IIv)b9zIw#hcC6xOu3>Cf(tEqwZ4zuPa zMmp@tFm2eQz1I!QqzAv>8{?Ha@F#X1I;u%eDp|>VZ1U_C7aoQ>1o4w{sJv8_H*SaP z-g;eAZ@`_~4}cC>V8k|kZW3gtisWu66J$ePrF<&9Jt};Bz3rj40Yg%z20gR;*GTL# z|0~~%P*LRaY#DlJ1v(S!Qs4F*BaBu|!=Z}`9znO(zczNQmxpE!B_aV_ZA4osFF%Kp zDzcZb96yxCLuNL9dSUBoxGcMQxU=i3^vVY=?9BVj0{Ch-4~{1rT`2NXf=FKcV+Srv zR~rxfze1VXR(rt<62}5-`!K&31c(tnuRYKMd`;Y<)4eUJ6W~(dMs!Ir25r8U`UyfA zqq5XcZ^#vCV549we&EuHVW8dzlfPzK8iCqy8-FcmFuVPNDJ5Mb)?KW&R(K69sBSM= zk*%k|2GGpA3SCJFZal%IKx7&Snv{r}WPa=NS1|{`uF={L0T0Oz{=87m#Z|H=FhC`} zwLHdgEpn!3G6L!xcaYPe9~XZ*xyys)EJ@PEwfO+J*;kean0pY<%;FXa*{{?pas)f zAKdpNe2{tX5K&REdYU;jg)a3_7waru^ZF4{oyNPy+`ESSMSft2599Ug*W(%gion)I z$y*ngkWaP_CprHIdcCYgzExrDEEFT~mn_bNfWJfIdzE_1o)L<|BZJ)f>y`U-|{qF;kR z2?5BIwGIw^2Y#r;GWy&SbT<+TbDP5-&_&w?6?_T}Sy5UF zza9DTxlE=#oi;WD!?>s{uSzP&22+sZ2e@TY@I%K7)rVzER*~2&{impc(volGPjD?| zHTQ5NCZY#5adS@6n9+8_p{v9A}Cah1WH z+7GCUJn!!Qj@(?CWMyATM=vHjE+6B?^3X(5S?8oVTfo3(WjFU*vlyDCJ2nWZ2$~1o zD}7avkcgHGbzfTL(@^>Hd+o7ev|6MdAFJk23M5NZ0-VyTK6!VWfke_88NtztqjYWk z@moE4>Tl1{;H%Nm9!1+e0;h#k!O3aX0YxcY4<)ny@s2Irhr4m-VZ~B`AE+hmM&OKI zs)Lf)1eU>1&LX8zDv3*80XH1ij>wm14xnsiWB$%5#qP5~H95%;37-7cvHndxsa#(= z{7FQmBMrAlkNxSQYgxS8pHR#m8|Un`ey3qNgHiq&jO{m11Z~mUx#;IYIK%MY4a#cC z=R;iYPe0`&gn0E3n$Dl`8jU}MJ-07ZtuC^=#J!$r+vgrXHiSd@Kt;)g|C2S;4u+0Z zbiSMwq{yn4dEQ8H1f6!(JK8gTIoydy9@~4f34PP0m8B?R2~}jdJcb`U;+6cz96R0S z$tUA8?BA_U092%fIl`3ZTrELtN8F38qyG|Iti6M8oJqzM8dA2E2aU_UMl3Bcq8T#+ z+*lP$GX>+-8e_wpHv?p^jRx)g2ElpE^=Mo8@fM`2SKqjVXzNP&f&|MS*kU+OxkgZi zBoCJaI{0NVIUSV3Jir0=yO^j=hn2j8@u}_n_Ht9y8kHM*!DW2PKb?DCbQKYJmZ@|dev{%R?BZwBZOk=-5f29 zo>AB|cLZANB8@2U3?~@bVi^>ne04c*5KznR0CjngZ>Z8;vq&)3BOOHg`bhNF_r~pN zR*e}A3m&^6GUxZFD_SdU1lOzbqaeX!j}h=bsANZIBrv*-zJ*EhNW%E7%pzefc=thogT8aAONAUe#+|yi5%L zSPi{$5I78H`cD<;&{GHbz72pg#xrlX9(NV&48EQvGvV z9{NZ<{&?C96BkSv-nVggcFqx^pv?KurkO*P>?~iW56XL$w1azd4&W0joXvr{4f#xt ziL=00FRnHGhk%9JAo5I`u0gjfcisO=G7EVWNN{JoEZqP9>wMSVYu;p37tM8lB6=p! zb$|?!Cb20Wj`>q%?x9_<=I^P6r?BXc0)&k(g{NG|Wq*b03Yu|0yN6;(0PkV$yEQ#l zJ9kwB5;<2Ol})$n5qeSl-BtEJ-QCN}KH^6w99bE#i z;a*de6sx+q7yd}k!^z^_lO@RmN`;_dM4+Y6A8Tvhzj%RW126wgR{Pq=mJp|odaUH}z3vsye5i}KXGsf<<2o5kN0_^@?seo~{xYfjc zK{Sv6H^$+NJq6T%Yoigi@#kcM0-U~q@5z>hB1SnlpAR&&18rZ{PJ?_g zA>X8Dnr_v=;2&&mGCY#mY7NkP1lo-VVKuVkCyvJYA*udeaq`|FURt{JyDyPNk$-FD z8E0+fTp5dsa~{$*E7xWqQ9w>awIHd77&KLDJ@Zh)Fosq27<=|6qLN~KEJu-zat{`O zp7#l9wXvsPX8VY>sGh>~t4M*!4Nd!)2!)tpGccm{=hhetA5#M6O5nFxNL2VGHrG0n zm2S^e84oh=)g7PyTaBfs60XO%N!&5{an19F2+s>yFHm0}EiTXNCKVii#k4A*>FzeK z?FrOL+9F@1l6c?-9-=}=2VheoLiF1$wIh9GA_1)ZV?6L`vBNhcm1j7Am)5@m3k$0R zmz>alK-hJN(H+0QK6Q+OH9GWfjp1avX`8m$tqnbgSWevo^?tO4gmpBgw;h*b=0?rG)2JAd!dc++8vAYCJR#=V#7i`*Ge7bJgyHeNtm8e?pDB|*Qgj-|MJrjB4T5&yDkn7Y=c|3}((jDn{XheBmh0*md~ zUY3JIM{xfAf1BJ#t$04R&u-@U9Cx_H=N)LH8LXe>WdTHg4W)V4jTj57yFO7=aXa(X zY~oZkY={v70!fA_VaI+I+Spk?;1PJ7vAR*Y0~xS%5wGp%z%mdB5pA|B!>QPnRuphZ zGGO!-5@(vB&HTm>v3i0sjX==dBDu!=LN0L*Vse7;eWZisGm1^H{ z+yiUIn9Ku3$+H3o7LPiF+I;f_#^w4M%i@K@4B7zHUAF9RMfEym3f^Lp3Q9N~Bb}=- z1GjUM-6beFa@FC7;Pb>6?u#mkO0Z4X7Y%9d-we9wF<#w;G2eCLcbK3h~nyZFqhcjhKv~0R5m#3bI#TXS|adYWiEriGwYiU-XB+&d@PeAd^ z8O@j+CKr^@&z!8|ANciiJ+)2rWL7Fu5~JI!b^aQlJGce)+LX!sEP_RX2`S*oy?_FG zg&Q7r90x*FDVCI84;K3dsE(t3$E^Ojjj=IxqSuaQ4ol9HFkwF z>~GAQ^$O{k6OSSs4+>2RX*2J?!a14rY3+#SvR z1FdYY3^(KQj!CLXBYf{h@lbn`LuX~Zq0IC;C^)i)DV@bTG8f%HU%EPjPPZYFmm16? z+$nl6@Xg5GQ2<7G|svlhh6$F8Gn9(4Y9yT4cNt$Uk|YwYz!cEKETYc z(8KdNJix!@F+ctVxbfHP3q-<0dN+%$$D<2ZS7s<8H0E;m2{{Fuz;&jF#`Eqw5t%8~ zMlrY3%aH)06-73%iT3}seVuAK>k zEszsR1!hs}CORfG0(AlsU!k_J;OS~S?AvCOz%fvo2e!KTLyqGXxJ9I6pP090YbNgNSQ^(^PbcSGn8M@~)d$<@-UD6$;JYt?=q6L962A!~l~ z!dhr>lj!kzC~=D6A#yJ2ge`0NPi!Bx7>vl@_9i5bUrr3VDh|e8Wbq=1sf`%WC~SYp zd}IiQ6l25bSjfv=ua=0Z^SCn5hNJdpIbYT{pbl!Y4dv$JE`a3H?W$s_>8*}y__mJz zpV)$qop7`0b`RVaT~B;~E@T#LR}c?Cp6s}}gYzC>m4y`Cm%ALk{e_KkS>c@p3hB0^ zL}2@k?c|_mKiScpL)oAe%Z2diZjh#OPfL+f35N>QB3KqLF<=66q;+lhq!iTl{0_uE zBPg1+>(Y=47Oc@L#Lu9W=A1qnAhh!Zfz=f{3 z3j^U<7OSKZVp4MQ0{$TkB*=0^Ft^^@(PCRWiMut6VwWJhPgIXH8P}}=S$rZ7yLBBk z6kcwQlb$Xoo_C%v4->Y)vk#e`)JQjkE))Wh?ynz99muC9lYG4JSAZro?Mo_JEFox& znf^!OhNY3ntpRvy23*Dr18N%hJo0CXwJ!}-=y`%`hE)@_MN({x$QlO{4*B9A6^%Hy zr{lmi&*C~o!K%wxNnCh)`cXIM4vWr$G9LRz>W zsEg@CGo>G9Cz|7jV(FrI==2{bYMx?684jTY$w2q8G{#%QT1`cS7~jFWlD6R!yM^!0 z6ZPLIzMRZ^xA1soAxsaoo@&6lBc6l#!3x?HZ#hYCv%mBg4sG>LmWK2k1AfY{K4$Z< z6(#$aD-)(&K6fujj+e5$0*~b~W{>v19p`n0PB=*o4Ak3{C3lr(yN6o^n&V#<&>yKVi25NuUw~iw$)h zL_KKi9{h{&P>_qAI8iQI?fhDPL-%QVMVC_DsF0Qh#lhDg4TY*U>IA^)np zI_Vfkju>YoL$T;=2$~b=W{-Ms&KfdE3)_^T{vlqKk0g#jKh>Xgmqp zTxa^O!m4ci1ERbC(!X)6V?#n~du$I(9%h4%4g$M(x&mlfLhIUIRUYfP zA`o*VFO$e8Vu@SR7nwWDCmb2_VO=9k%HhBb@3o|X3O3j9V7CZNEF?FnC`3j5`-p`3_4 z)J((!Ro216BLpe@_>wc=UT=>B5Io?TDoNtOcO_$uzo}Fpw618BOdxpgA>+aX!`!(! zVYlO%3iIW;6k`)?6X$1AVfF7aV@Hh9?QzI`l>7K0#)Z`w2pXJ$POcBdGtX23AnSfU zsMTrdQ+l(4TiaQ=&9#BN7}l?USj_f3VA{yxe$iq`u~>3Jq`}gNXokifg>5^^4<20+ z_{y5a85mV(rxG8F9F?!ms8!TzL>pe&%qeT$2D5i&4}0)Okh#ckT!i|Kj`4nFFGx{GP{`aZ4YH~FNDG1X^hR|Ob zTZ;JcCp)SR`}|vlI-bbf`u7?&Rq02gL9nA;FMD69J9oVjBcP!ekcI^0^_morOUhEv z?Sk%hjWPLLnTKIkPd;M-2)S5FWWJvwnA9@#qi;!R?sHO|a-5m33v zQ{4GD$kVF{X{OYTT$kK9KoPP#`tHqHv7s5NC}<;fz|X6dLI6O~Ulj*srguob0qq4TN^ih%}(G z1mkbtI17M!ha|y^LtJfO&*@npC#+OVoRW}ntlV3+s`xHysTB)Y;%eh@{L`_5ZZR&`kei zlg{nt5Q5~nB78Fc@-%?N=wvYBBYzf_g*7kYUi0(lz|^Lv1UpzR4T9QD64(osaJQ*F zXO_I8#AQhFKUor5FwmM4CJa(WJ=&-n1XxYL>ddrxzJPI3O^ z<@^4u-@)1Q4;RKEAGWAaq(Q6P=IslnM2*GHkjzV5i@}pq%Tr6SDvlYh_>YzONh1*S z8b8-QL7at$BYk;bS@8=VOEA^1f*3H2MRX&KY3GDvIh&xtP zEzoi+PlkM(cwI;9rfU}s?e$@9|7=ZcI6qgRk)E>Otuhpc0GuzCpbIS$9ZnZRqX3kupF^pYPm{W70-f%jW&g0v1D*byo*#<=&ixg0@Dq4}T z`4~|(+Rs-i^1m?`DCALaXB*~iY~~!~=~J1&2}m+bX0ec7N@RHjJ&$l)g!uMGh^eYp z(F)2mo}HN;2Vs-5Hz~GgW@!CoDh^9X4k(%x01(rq8s3PWJ6U|I97uus0-CN71b=${ zno#R&nBDc*-?5AxjKWpGeU#5VSnVA`E z2IEavd(S?qanRu!r9ZRON=hiRMn0e(7J4xhk=wko6GXy^gsPv+ad?VEspgI9lrGJe z#VCmCtP%kUhn!D27aOQY2QpB1IBZrnD#VrK0+_^pX)<47#r^E>Fq^l$7?1obDm(um z>*7`qZLsR-5q-X-D5ZbwvAv#d2D=KzEU*Tr*K9z$Q5#Is@k>T9jq7X>@80MaMrS#0CXE1a61x^cG2?GwmY5HghLfs|a_~9I)S$bpc z0ZQbGdE`A!;FJ3AB;wuwR%A1|1Q`U1-gO`r!Z)9&k1`yfFzfHs_8o!84STCL;=|i- zDcg?W=ND1swD1ev3R(hk8k$s}NPzPNfyna^9`-m{{gzJv9=?N#x3NQIcro{h4A!rj zQ{vpM5nnHMKU?rC{Lh_O{|WvpJ2&EpOo)JhsRe#V3HZ8Dqv0?~gYNQnYG1>K5FPc_ z4KtZNq7TI}sFk}((93x*BCyd8e*zA}$=q3RcyOMJe0HVVzz>bLU05rpNNCBRn5)84w{68FE0kV!heG;`iP z88|p%U(Ew@1Sc1HtXygIGD52yH4QwdwLMoJA(4dViXV+!p7%96xoeK;c6Dz;`e}h6^}m5CvQTLCixnC^tUhB4$vYmlGGGsu<(Aa3c6P>u63Gr7f=@l$(+2{ zZFjG9S?;>wKPKCle(zjRb?fg1=EBMg0oM>Y?0qFrFjk~qRS$%v@}0Gxf(fl?xRRmT zbvA)r5CmB){f-gh_%4*4w+I< zZQ>N;oG`^iWW+DWdN=}lBpV`Z^7nvr7;Ag9YxDvcJw3KMsxpY(o_i0*B5`_)AvzDc z%B(oAGAi6oxP9M4rgItW&1o8;U;tV`rN2%6R5@NG2r6vH+y76|mvQn26GZ=M5!!$Y zkV|~XY0-O}7EGf(;m}>_xhfli2QuLfZu0E7iogG>j;<8x zZi%IUSP6}LR{OTSNL;Ow$GBL;PA}wuM#Wu&rsK_=Fl9k`{1e3+XsQE>udj@H@9)bg z;|zInlrbN`uY60s2=xf!)>Xj`2Q>&-`wfpV^VrFD-1>(hk+`h3OnG=RD4a4brQ zs1lR5d7q!VS6=f$$3Y|rYPRGYPltKuM1%K)I}^@1a|`8tSN!Wb-^%Zc0f})E-9^8& z1sr!|$6QbR8W=E_s-T9bg!51x*p0op@?7p$`H*T^&Gi_rQLJLoP8NnPtWjrPZQngA z66w06-6$uwWdQM*x!+A$KGoZh42D1v&E$SkgkiUe{--Hu%fFdM%R#tr&gHm`scBo{ z{&0-aAWwk*Ic|PK7_i|i5Sc*!SmF%A^_s8EunTgLa72q z$n65cWc*VM4qScGJf1)UVqktW*a?b{VBFJ+{T!oshN7@fUyv`Vhw`f~RtewDLiWA7 z4YAwsgPHOg=T?ka1w^H}S1{Z`#`5p^4;KxHH|+$AcBn0hA*f0*xt}msxkt$QN`Mdv zZ0M9b+!e5}?rfGGDvsKbxamw>FXHP!wMwnM&C#^F)Nk{Ej4(6KQyZ7B6)orju$yH(2Jr&HxbZ2KPtAf9cr6l2>-V(|J;xeLoU zOHkg?5OPPoP3Fl-(bgDIt?se!a8fhTb|sHhz#pYouL-j-pd3LA)BcT)z#cGD2*FLt zF1(tik<_ZxG7pbcyR#@X>0qp`3DHfgqwLlKg=@_P3v-nrl`(uRM;5UXU+`aZ)vIT` z@a06vt7^|_kJ)j-UpN?|ZVli+XbkT}c@|6c)Hip8M6#%eh1!CuYu#A?XK3SN4r}Vt z2Op}DarK0`prFmkS0I+((!!bt=IIi=UT~WARUY0GJq%(`O|m#xMeec){0@3H?sY$g zkI2E8H^i@^^i!i#9}U4QxP_mdnxoq=+yT5e#7HJ_(eIjuaUJImfNwN+3n^RC3k*;p zTxP7cu)|rsXAsO&1<>o;NjHIq@ZQVx=plK9^3C6kac@v0=a_C$=OSp@>nf&y_bzAw zE((AXNEbdiy}TzN$TiK>#mt$IZ-CO@Sw#_sIf{ z32m*!K|eSQKDw^qbLEU>!i7i3#O13aA*{sQhz;3=VVxvy9zRGdgePMtV9#>D5*qG( zQKIh+#U#*-x_-L)bV@Xh$)G0!i33MXAD~txfaX^-?VmCbbRvYZfiJqJR*Xl|^M;Ri zD#31fHfyHL%f45el1|SEVHWv}TUf?9Ary|U4R^#aU>BvxseS-h&cYX zTEbtwIXh(|u8uhlR>?nyG1V8{v?BMz+Q~jkob?(a6E`W5kN|mJZeG6C4B7cJXszSR=|hBXv+ZOJP(8uVx6uGVa=$ z)Y0-d78#fae<6+sG7<59PF+O=EzRUnXX7hY&aDq;XGEK#a&K=0p#t?5TLV!fp$*f7 zU=3T~tp3} ze-IreVX4g!&~JbYYX8%YTn6sDlXT@-k|`1^Q_L?H1_5Ra&yY{>s`um*zpMkkm2OOdj9eF_EemzUT6$`&<3tBCtzN6lTM=IUhLLuxFjCJn?l2~pHdjb zLIM&D5gU{|nQ7Qc$Eu8pw~LnWOdqCyEgk{_`E~0+D+jmML3IWT9v^er1hn2-Vy8DZ z$qs*!7J&lsvxd1HVwcOsNzHj{`7b}-F@9&udggUCUk3jjmB$=n;tHDsrLPUYMEJ!$ zK_C-uy~WaXIkv@BcrX1gHjuPlLO42*{|Q(I8tbYLa&6X9FWan8f9cO3iz8ndDFm2g z%>It;qp1+Awv8!WgAFl#?i(G0OjpFfBZ@$=o_$d;CfCDby0Vu}b}Gdn4TI=C*41)6l> zCaVtrIMByE9%EKkhF3y06c1i++9L7C34*Rhc7g*iT$hb?>dM$%d7doLUU#E9i5UZimc zAVK>g`sAd%xpsD{>L>@*H%i^(24Pmc3{jQ~$& zUJVd4A8{#qeC(tpSPC*^Or=@151_`K>&y+4C(ZSH&H@iUW;Z+20Ai3rEI7(8$oV?3 zbwcr^01tZhU@X{BQ4SNTY-mtLRb12v3E-Jhd=-0;h@2Fps>-GzPbYj~zYTv0@@D1m z^?e&aSC=saiDtMOfZ=!6K+TQ6jCE1oW&=6K3@7Q0TMEq%$x_Uzg|y|0Ow;sA2QeJ# zw0pw)$^iBRYl&qO-m393w&BJ>Re(q}IN(yt5mqni*f)#fD=TZFnSQdm3Q4DuZ-OwH z#_o$$!@feDWow+Usq{Ot?app!Tx;_1fOxrYCG~wHEmm1qT^S z0B;qM~Lx0a`s1{{hEiZhDSKp$n;%$c7}3nb$2#L+fss4i>z9|hPLg)6Vk9~bkQ4r@pX zHb!S*lk%^G>njWjfFQBQ-TJ-ygC$a+9xYc(>C=u!kF}wJQpCtyy8&Gz{A8h8rY%Wn zRtQ;{&1aY!U3iP34fdfa$poTV&$9+33(Szg;3W8gOa^+BuOF;QCE(3{v3Sh8Ce{oy%zy7n64W-@0Zdn!Y1HS{&X15 zy&lT71_@Gp;i_$N0Hid|2lo2`hUv!u^vu=d={d7wBnD>ey(1Eyl=4rlkW50!5oM&8 z{`DXe{?h2|RE0BdkIAcS=>qxd>c*9hgLwFnNG75co@%?)cW=B|Z;0~bw2nKQjv75O z4>J;uJhNWm?{)&HO*T!Jw~qG4f>SNIU!D%ieGuCDgtZ6|^bjMuX34t=sqH6s;&_8*-JljbG#J6?9JidJ@Sna&=lF0E+a3=qLdq$eXViKDd(eqJQm z2ziYkTrzmMgOe1BNOj@Vo+O+kl%l;Cv*^22GuHzQEd!+$lPz+@%F>TOVVar2r)^h@ zjRq}lkFu?qMaVJKN86ffK(n@y>4x1pRt(SL4m*?J<&rPkQgMH;znv911*RHywl|YwAN9_ZO{qqJB?jzE9PI9-6f6@(I;gs<>ubrKOE z5`>#=A3LDai_!P_6hRrGXFA;M&@Ype5*H1``3+OO*fjl}eDtS5+f2#b92G$4kzrc4 z7TV`BKn_@4ebrj}2|YHfFd%Vp6A;JA)|i=T_0#L_%4tmw85LbnI%!6A_}YvCDdzHN zsI2oXAwqlqkirY#otg{8T>*^dY<6V~)CO(J};J95Espz2pZR11S#1s=Qts==p`vXolW$|;n}LR6*pDQ zV=vABG*9~eR|;&xxR#{m{dC8&J?Je}mc_C2Oi&l>9=8?V@4N6x@N3M9gz)p769}^2VDh?uIEHQF-b?3A)<0PAr#Z|)n zcg(Mq+)5fXxndHFBWq$U*r9+k7nMYLI_)J@pu>_Q-oW}7i?O%2fjq)x!M zVx*~@lbv|y5Uf?oVs_OEFp19kD8xLIEhh(;itt*ji7{7eU!>3r#oQZw&sT#u<`hNwjPQevpsN}CzA2v{dc&*qbVU= z0tNqLW*G?im3^9+g?dmXyRXoXbjK@;YL6eSG%#M7I|eqwO6FP6fU?Q_(tfj)D^S@v zmjTqmm?(~{gDtBTJ%<|7b)QTmT?J1sgVRpwqPwD&S-}bnPwAys@E0agflL_oq8IM+ z{PHsbcOLMs5O%rBKQC2R+05IYPaPA(S*o<^f=}^;g`INAu`ia_3{M0~)lcCWslDB( z!6`Nd&97%|hF3h+lV>XlA39%lBd(={orEpY0@btV8!*U<56?p7)!U1_g9LW#3?eKn zWb<|0R~~GAP%b(fm7-mYB+UXOkNO&2>v(hf?dQ-Ok{jNtB_9eL<$35K(kLh!Ij21( z0k%(wKHC?0hOD-l5l4+^t;=`k`t1zLk0^V+&4?Im<%c6+uOp8|Y0{2tV39Yl=In2AT4-eC%q{y5iss`|F*6^PL zOuOAJS1sW!9y z_??486Wg>@s;W8SqF_A)C(41B+QsDCg8TkM_z$lHz0KnBa! z=ROib-oE2;$|n{#oLUkAJY4&$R6+%x&wa zX&P(joh*%n5Em!QlPwu`B!w45)1wG=Tg>m7Zk;ri)LUJ0-W!sE7i8|;ZvhgoZVFJs znEwW>G`Cy%+Zm*&>A52i)yM(_4F=o(@l7bRzBluMn(E1O7C!WsMi^&w&>tgeD&@&e z*I!BVo69K`8qV24frv<3M2P0u|8qF_h$_x5(5C;6R}L@14ml~z zSm&2(Pr++G#T7zJP6*1&k78vP@~kWsaICD(jsN@B(vMzvNx5m=cG}g>wNUm(zybda zujc2AWL;2)KOIRuGod{<)yG5l{$DY zsy{ArLh|y3XgSele~Swd7HG%i3I_<^%MLqemvN{Nr}KPL%5b4Gncqww?6N=y$c&~& zgz0qwE#?U;boOi@*Mew1h4))<*3acn)28$+3fu8nx~|#4%U`-Q(m$+gv8|oXvHGSu z1rmKq*udN_V4@+++klobXO zQH?n>#6}CLN_v|YnJby(?lBdP7ft=Px$Kbu3ng*|>cQr9c_8Q;Q-_r>rwqIyjWZ&lIncaNnD0sq4;JXGQe)19O` zU;Jr+necN1sY6RS2J_G%1K`d>N}4|e{Tgs-ou^#Lzc{|aq|z0NhK~fMp_Yp6^wf<0 zA_sT|*)2RBWUhiLFwhm%GjH9UfP$baxIZ#d87)8D#!_1@m5w?yBuF{dOR9`6==>@s zPa$vPEE*gWQa$duowoZg?W=+(s&^>gupdgW^X+0Cb}T+Q;2ls)XJ9MD;8ar`yQtWw zp9;?N`)RY@@YUO?e2SlX&LkTd@0tc0a#V8~MW(l!hgRPJ*fYO~8a;JF=+M&B#UjumKX1vw|IfwM{lLhn z?PW_m(%Y$d5*2yE1MGkVdJ8-+rxq%G5-KstHHy5>Q;%8EINiw}ASIQ;uHIoL2FdCw z-b&q`Jj<_i(vz`LJmyvAw`yTM>-Wk0-UxO^7WxDgKjQa7-wT%Ol=BNEKR14|8kF6O zX*X8e;kv*zrwjfKO;t}ua<0x*B~LPk=D7SkrJZQnp#m)y?F_rdkyd&e#%ARu3}c&HtjTj#uWzp)9ZL}A$rT&_a9 z53YRzgYGY+-Qg)BY9Y4EQJ;f%q6jevXyLg3Ni@0WaelZG>rORLx*@pu-!RkuxvNhh z$M}r7ty)su;3J8%5dMl7FjZjHqga00(k})Z|Mj?!(0jZ=`l*BFEF>A_ohC^D4-A>1 z2d7KWd9&N}$qAC3Ag~8Nr)?W8jG*JoDD1B3sY{WsuPJ;&W2)uhcmD3yo3Pav;14i+PlMvBI#K8co-rXN^$>T%O8 z{f1P#W}A%W$prK8KZK{N3@0Cn1~QF;hF-x=D^#~B@&CiO<46m6IDHppR=Lg-(66lz@P&0s|5aexy_OY9E}`+(lt!- z6Dl0fz|K2G-6d3nPCEm+QBbXg3c~v@15vv|ax-($5}ekc9f|GD&ywPdrFq z)uj&zp8&l>im(DhYd41k;l_&6Vl@`S_RNK*CML2Y0a5Xkf@YD*_;eqIC_(QomMhs)w-^Vg6ob^#ZlE@rOKX zuTDWCDa`yM?cF|lt*pvgj(J-Sne#GjNO?NWp$=rF)tXOi6&pbXL^z-2XsHvQ?IMgX z00AW+cqBwH)6QJs0)QK<%NgIw2bgZGcA*1)zwe<}5hN^;92M@|E< zGDw;KhurcATUCFCZ|ms48z3f-;2@@=U7nTC=K`erkF~6}8?HdvW~G+dS3FC6;gKMJ zEXku{tu3#J9x*e2ip&(Xi5+bd4v>!W;>!F9Qe#6VQ`Xs6lD>kRlpdM_BwN4 zK(Iw-@15s%#d``OAO&DqVOFcbtH*rolGhSZf#4a0!Mn(V74)L%StXy$iy(xL$_Ot- zJi3O|GI;eqfvvpO%5bs-T#F=NN5%Y_A}k=>jBuc4FD)qL8#Ibg2H~^##5%7HLV{A1 zOWObn!5Io5P3q`#D_6V|D2j!>&7`o(tXp0w{DnB9yG%TuYo}%-AZ-2^R*S=R3!+3r zXz92HUVuR+rR%NWOw&I?hw7EiB_Px;9XJKgba4vEra|7d&wP+*_CbO%l2ZIDq4>yj z^rs+%QOJa7dcI9Pd*Rq?K$41|B3xgAi1d&sg1@M-RY#g2ovN~GV&UR;h*9nHvNVpP zu9kqewV)VGwr;Qp>1u}zAW_~-Sa}tjZ6~vQ0$BjvH68Khf!?@FGUF?3YtXIfsUQ?s z+0Ze&wb8op%F15^!-sn3OE(^~`)Vj4ZUAyTs|+Bc(J2hT&J9&5R|2yvm*OAUegO+& zM%jA7qMXzuC#0$%bH)59ssh^ThYZ3v)?w!KK1>xu*;@mCjAcu(*y`sFAURd0g<-zd z+-Uiu&5;B^ls)O|nL$&Ha73GbU@7QG03cHyDywMzV6yVd7c_ie@J~!IPWZM!quauO z!8Fud(iR}xsQ!trC~7@mWly?fp=-0P9eC5-VP1XPVd^0211Jn2BVetmnIU$DE}dOEl!S{QmC}V$E*?o( zC|jZ{>W_mSL2hr)`*;cZ34&vKe3GpiARTwGo^=6;aH#}WPKE0blZIfTDz84-tCHLm zoH(-Ss36+vu$MRqG$^xYRRc_M3Fgg=7@Q7MhAS5@9ip=bhIxDg5soex17WU?Yufg0hXVRjcZRVK+b9dGQOAkgc95-{BFG6f{xW2~Vxp0xj5#+nTZ}e{cE)uOQ~!*I1M|Jq_AVWgNXFw1Hv* z8Wfuj@j_0m-5?Z7R6j|qLO+w`^|Q) zs2Nl^78$NU6oMeJGhM)y6Lxr5VtKWw)lf0oEW4;6K0_2{o|BdN0#A`36=C-4_11A5 zO)h$-BY;su90Edmf;zSawkD3wk(O)?AXG995?Upyoj2Lu9mI^0W%~~&wp>A1y%Rzj zk&_fB3m{9|z1K>|kac~3GzDnYQf^G)=E-BmLeAR7>O#Sl#V+9ApTKEZiIoBtuIfz>5HwEo;Ucd4h-mpvdh@s=QjAM;NhVxX0U zVLDsg`tedLn-!UPsjMnK%kndh?4+R}|B9(sHPP{o+@lH1WtP152%6^6!j%9yw-M5c zc%JdYl{s(}Ksf$j6%+Q%zJ2*228<>1kCQa4KgjcJ6(EL1lwLvK30) zmhs#zMAInO_o3J@s!J??sHY&(j}0v8#1Z>g?F$fA#dEd~rA znOmPU&B$O~lDv>&pdEk=PI*Gr$Jc6X2C>I&JO2u(AXLCi-Q%+BG97aF0jxK{^(+?n>hLD1G zyFTe~BMSyR@F`%JjIzSpDU&g@f-u0GD^sQ*sU58=HtXd6OHwWlA_t1j=vxQ7AUVQO zlh7l>IuEdhAP5A{N7-1OXLv)W!b2t1t(paF+1_J@!Sao-dmWHa6(Gim!>JNu^1=*t zgsJz(9>F&fpMuR{c$&r^2Y7V?-ytA&3EJtri1Gb4NZZC^_^H-fkA8#$K=-yKWAEYq zbxn;R1-v$24<2OST@&G+Zb-puj9*2;v%aq5QHxMB9zAr1AgQzfAE1qCa)gSE#&a5Y z#${mO*0>^+>|m0RMH+O_CLpwp;i1f*q88Iaeil6Esv_~698EW)+em=-d}1P3Tmv9h za#kJJ31I<#wFGT__IY!TfY5K44`fnD1=>{0u||&|wcEzNLwT{pdJEh%dwZdFlB`va zhpGAj8C1e2nkR3aApDLh*q}3%uiP+NY73#1pEL2d{%E7`wiZ3Mv=>ux9Uxjj?z$7P zFQj0_fYOuS;5GB85eUsv8dX{QqKL}JD~TY9AQg>aE&E^-M*cK9ce2IN5IY@vGfIwT zU4hng2?U=Y4Yk{2Y}8bmX(44tfC zCx9TiB8=fzCS#&B&qwgC4*)UCV`zm(yYk)3`_6zI>Zu(dx60qVtzbVi(0+EC$w{~Y z!TrF^HG`L&KiGS~L=Z@ZAe0y*g(_$)<0H6BOA6%7JA<`XY+*b9p*OO{=Si%x5+J2g zqfc^`+x4Y)YSTQEBqTdx7@}V2C7Y7hIu?`!iWMNpz}!33YTJiEigaiux80f8z5qu$ zI-yCvr|KJ54{@F#DIDCNa9<-5c3l&n2hbj49?uOU8u6A;JFvb-Vfh4&AjxX?wN5D3 z-imzp_~TeaMFNShpdtkSVgAD9Ex5rb8z7d_?!zdgn!#I2YXnV80HoURT2IQJ<7~t( zmvBg>vmYSrR8pTQ=Z}E!|(TB8|>n)39=aAkwhO=3K6AaB}S6aRCex^~`wz5e3^S6To{b4%!k; z2q0x??@lVTk2?An&iqn@0UvDDIPaN$Y#!y}0F8t2W2GQKv;3=(x@dVTQ__%y3&sv0 ze9^2unqUUH%w?J5fEOzuovSj5p5B)onJgAmNe| zC|bn;;v?2Ev$tZZagbzfi<{g`x8ZW6&0gTUhajR&O=)#E{8}$4Ba|omG9NF(d!$w_ zB;L%&E4$zTT^=Aq3`2z}}XmLR)w3u`29Zb2b&x~k|H^b#Ep zkhcR*kDs52Nn`>;L*c^s z*ONi_)4%fwh9EZznCC&V{wE{9rUg-Lm^bhjb}4cSuWD|W9(d$W@~R+rvWM;L;!L1=(l3#Yn?gGrCRH#&Q+)mulo!R5Ip$ z3EI;vAloae$BjtgDJd-62wNQY|K#n!&WbgwYO95N|9q7}C?K7*42;F<^s2xD-g;NS z`-RnDuz1B4DUoVzc4xOXE=|C|BjrW#@xLDo8IN z*Ds!Xg$!4$RlBM{wu)`6z|)8x=SQ-vRK+CzYkAUEHb=C?o@pVRhy`Vy)JTPcWa zH;z_@D;HZgq-X!0DIohvCOx?C@XiL2?B@s=ThV^$;0!YNjtb;ygIjBb@{1rqp|7Ir zMt~crgfeTuXCjC$;MHm~;V1{~*l`Csw`e;3qB;K^@MxuXz=;8Vx)1K~V?P?wchGf*hzU1MxAm;cs=qf&ekd~^AT~Bt_VY1Z+>{Zl4=TGW zO4PpCcohr8LM?x@T=cPk8X(m0LFbAUb+!3$)Z7=wg!IJKdVPu&L#`BT%!bF1xsV`g zkToo*5te(qz@=ggje`_pD_@&H?tU!S0p%b%G~)2jq7%7D$T3~5rIC!ETp>;%~Bj*3z?Z9@-v(M{009&z+Jn)wrBj? z_E*Wpxjzel6Ed^VYocGHAQOOzwIlit^tvc6{zo-F!G9gm^ZOb~JmKW(EXXrzm>^6h ztYy!=RDl)-%fnoanlS>U_9>96ATQDx<08}{ zzO_Xe_i3l2(~^XcgN_WJLDM5KasT_h9v}$PpAjIN?J(9xAhH5ITGj3%a+mnk4kHU| zixzI4?k6B6;IXkH!CL5qmXMo4$R`74LEcaYHAVamAB@O+w&)`u5*jg!O0UM7-ubcK zgwodawGLEZt_gb7J2tt;7x5pXAkhigL(1@DtA>Ck&Q>OUH>7Z#scLm~))mxu!Sazk z4j@~M2Jy+xRkd{Bk!z04IU|o~35Qj$9k}r>tezef8Xh37HFM+JJ;E*5fc-lhY?-&K zzlD^)mqOYKeg<-8`0gDb2pPrw;B@RO|N1A@*nY9o%b6GNs)ar{43eS)Nj_{1AVbT{ z1-t>_;o9aKpAV#8e~6Kye;@~>CTc#UCwWE5sUTF%S>7PA^G0p|X6@cFHXV*X=wydx zqGQeU!xe4LLJA-vPkj5Ry0(i%=zGL>0(E~!1%KQ5{>FC>ZvDdxBaw|DAgwz9o1as{ zs&rvC>8wi@8UM8Q@ew8TFCoS0nc=6bAjVpyQ*Z*RbJgO5Mfp#}!kf*hSUq24hT?0~ zzFiaitsui-vy@KzVU#1+n{j)Msx70Hgm%v&4TWFZngK`_!zdsFa7j54(5v5L5-@3J z+VHQ1oR|@Rap%dzBFS0s2>S{kiX%Fmk?di5wF{nbEIebUy66>CIU@1P)X57fz%Wgr zAj=&rHP%LtLlxs>)_MuJ>@LTKltDhwd>0bKqerLr4j>2FC?gb0l@o9S*cOF?I0%X0 zO`O~wuDmuVJplDiK>#3wK`idlB{yW=rFqG!-YQ~3sT_j4J5dU02a^u3>T>}gl2E#q zymZSZZn9;7m*|k}AVo1e3A5c3aOEaDF5u^jARK2C=}y!^!9;s_-az<8=v5Bd0{#)? zY6h=E@|Rdq8z6<(8NS~jZBS8%APH`di{*CwL#n_1nz94+9e;}; zM2>LxH1v{3{_&>pCJ()beA4cQ#5|*EhmpT!9eVnlAP`w-X|K&kGO_<&zY}%kfgP~f zI{-uE{ESlYv**s92q4g#YZgheBI&FHSQA3hw=w0%DrYP13UQEYRxPs(Y->>?P>vwv zH|TYryxH4H_XU*pQr&N2T(NnaD8CE!&!1})-W{PJl24*>PNWrJ=o>q~s01GXY2*Tj zNAc8+Q%<6IZND%YATsiF2ZYys#t*z?Dd{%S)ER_{(HpH&-epOQX?L{AfgoE4DO&o0 zfnR;ouawVN^Yj$j?GH^p#a*Uw(>J&QkOLqaLLyAYy=@bMm-Y98A5b29`;4eOpHeow zZYhY+($*RvGE2O&fyTvJZfzNMrpN!S*L2d(iPI}N6=@w4L0`QlAQpa_x$r|eMk)yp zn}uw$6mH!>ot1*pcH)o&YUNBX3Lpi^);U|_@f?&^j1mkG%ZL}&D3J!j5C7ow1|!<6 z?F=BXu`@Xm_t9G3rH=w@+;f6!(SRA6QI8V$A4!d<3<;+oo9A*1b2SV*@zMK5X)@to zCIli_x{9Nr7W0-pRMakpAPR~K3vn9Q79|^RXpef@1m!W!!CtlOl$zs`zp?w~mLMD8 zoQxO7m^@sgyxFHNA82a`l4afIch2s^RF%*bl9eDuRcSBqzX5~(_`2xh%VXQ8pDp+D zchz^SO*yv$D%?iy&FQde`f{=oB9id_B8!wQ;w^C9~tiR-mPC zWDA;NMv)*u8S%EiX4i@77Unh-j%e3T?`rQ7as?SnN?^Mcyk!$0SXdfl>H!MLAu2Ty zd{Uj(B{+lN&wx0<^6sWNxv@5!AcJ}pckPy=i_K$-js@0a1}v$ zbXU92ULJV!$jCr(jg6roiFR+K{#}5xI}3roS47S5Q*svXdSr%b{pcyh7479cM}(k~qK`7BKh<_M74J~PZF-e7ZF zNQtprOzqxvIxisO=lV9Z%@h15y#oJm%f6ftOE)WZ$IcX-BH~R+dKV!eu=&6$qs=y5 z%dz~8aefvr4U^I>w_=971$yopQ%qKkATcpXsgTErmPfIskvXIjbVJqX16Kfj7GbQ7 z!u-<}FBJ2`?g0c;8T+)r858tQ)%j3APow+bRkm+%ae( z6&0h?#pBN8|1pi-d`>rBL<)`Bf(%v?{qS6&Ab=)ctqkAdK!a75+K+A&v2SA!AW*iyU+{(gi|N;Teim=MHYj#xfdLM(U3b9rVG<`?Cky;fct$2wg&^0tLHXa6>lAt06NkJ4 z`UoGikS_+#lW)`Ay|IK@UlJhd;sdA+|tcRh9JQAs~~%_GTM6jiS}I)YhPs#&3R*pkT!1m^(sVglUP^(25|$5M6*D zzmJ@2JsU@o$qm9>f>+FIrdl&3j9gUk6FUGP9d3=fiP?a)H7!iUcVE$%9j~Y1&AiuKeA1K!9u=1`NX@oV)XI)Df|6pOq#mOJ9@f)WRBp{q>51@PG2TJv~ z`?cjRsgo=F?|Gnkp~1-$4hY_VE0-V)hI~wD2+Be5#Z@c0CyR$@P2TvzSfa-H1=rRD z6R##9$6AN@M;yrB?kX=R3wDCjAPET;_i(*m2Q9Xb-LjLXASe!yGNqkYT^I3NB=bH_ z8$d!G>s}zIjSQ8p5OSCXh#+JBIU_XLFGIy7y-x!>Q#43niqmJ-mz}O1`IVUmv#uZ^ zigwNO6?F7>h_=ig=v+IdI~pGXdNHE8j2UicRiB+8zP9RLPhuNk6AT*Z_A?M5BR#TL zf_g;JR8m6HK3wnsAeP^=`dsWsbQyx|py}QP!4Z=6pu=nWp8VJ5v3Lx9>FG2}F zCKU71Tmry_^)^;n$mt6-+WFDtm}5;BOfVqfP@PX>5I*0HK`5a3pIyU~ItG1mc353r zhMw{-(p|71gh6+(J<)Y@WtIvNugEn6zLjeCfm3fw|E;~-dwArIAR(aQ;ScP?O0bk5 z&Ybwtge@PCK^6O=Q~#AUCN?H2h#&(DvaFX{NEad6nq*^iD#bMF1=PXedZsBL>XKW*>B~=msz{e&c3j=8rxcq(a`jPPIeW7S?! zFA3{uM$m>5W2q$|Q;SL*lP^yHzgg2@M2PWzerX4l>0R-YCG+>s)39_MAZFmo6$ij{ zO-fC>_-i{5M;=MGaP-M$b~}rN_eOZeh9DGz&X%z`;%$3l2y>4{qh$r7xclSOVzEh4 zzvsM7bpjx{fU=@#&a?nFgs#Q-*y(<%K=_v8NgA;Hw8_J(kaw0KL)l3vHzQT*5^@>n z6gfe1K)}1SJ47eUeJ_0tEmHrIAgqe2;Yk@-rgFj^N9ZrW)h^3QJE^Ok08y)9y+XxP z9U!#fc}u3)O^d@m-s6AJFf6=mP5Gt-H!lS@j4q&L0E-~hL*r4)#56d&C`ja=x{ad( zcK)kJIg>bwa1+wjz3<}G7EbnAm@pm zii$ZTuRkTcWA&|x+xfdFy))mFuu>lzIyyD8fFM8G5vUnRHBuPCI5hj4VJGXF8J5n; z5I~mTZN``#kenbBU-zebAF}B1i!`?_n)-I=w9hp5MKu<<7!E~YX(tjO2Hx6rGFSO; zk-vj_;0hqI!B~>L!A45$aE_o@slM%nAXL53#0Y7p6=@k2k^B80cJWk=gn#VB@tqK6 z|LWpuq9Bx_VeYnMh-qQWdBpu-NfIPLldJI$p(MX-MfSZXrywBQ&r8-?%|a}#&Q;uS zm+0K3yg4hsr`WFPPci>3R9*_bJT4p52iMRYR~;sC)V zAX#jJxE5%trsGrup{wy3q({F}e?nZHTl1D(qUPoY5g-F2gC8#|pZ$Sx)C(SI1CmsB zWFptJ`lL2=E?o}V2qhr7Er-@_CZ(?>X&1`Ey&_OGY+2~o(I)zEjYf~E_fBk$d z=+$%>1$D*B*6}qc;>DvS*8hc8jxG2?kvN!?AZZPTDT1X-2EHCgHm~Ja91Wn)YCQ0; z?OHvZ7YEe`oFFHlSWDB7iq~V-9QF84Mk_G1Pfp{Nha9_@mDAmumBDM2UN!QI4J0_bc$fC#V>v^md49MU>9 zpygZ3At3Pu-nkkz6oqkPa_*4YvV9>gI7)f40v-hLodiYBUYHAjsp?kTpQs&G!xYnIBfKT4HGh%409N5an*rf0 zAkMV$*M}{JDX6n9YqQ;!%-EBpUk3Rj=rK@8h4n(qq#&PvdT)RdEM@e4-_AON!Jux$ z2GQz%hQj~hAf+$Rb*3Qs!RzWYfmozkvg5qy~yi*=O}@-WJdxs(yFAWGfO&e7xXtsZk6oF!ujui$gfj%2!k zzbmNnJsjUfDImTV;O5f9Y5Q)vI`irXHqn!@8kL5w*Yo|WjD+RQdL$r{0a~~l;I_cf z+k2s|^StXtW1gulLtXjbbT!UC3~3=CzR?xXB<);BvTp}An4o;`;Tt6yYptAPp(RcM zL-2D7AS;=O3W{c;qUbVxJYh*B?`1o?=<>kG3MS;ZeC__ zmqM#hEh?^Cd~SQWrL~H!M2|=*vp$vXuBVSnFB^dum9@gyEEI~C)X zzo47v<@}7f!3cpM%;ssGMhpU|<{GUaoV^~M>qj~Y8V#lFS@qa7DQo1F>}j zqOmpTW`cXSZpK<)g}ZGW1z{|8BvG&cboAnzuoG>t~lmpkG0UD}`;oan1A zgyyn^N|RzS0#!tZ9v}>UQe{Z8S)*6~p5z<*u=Oq5Bz!+*{SP@m^-kQ5|U-%EycC^TZt&6hrh$DVB7a&tEhtor3KMCej zKqfX7!w2Q0TZ@BvA2*ec?OkP4olTJCUL1nEKe)RDxVQ#~V8Pvk6FdQeL$HgxOVHpD zT!Om=cXtae%P-jdyjAafovN;xGgVzReY(#%Pi~s!^anEM@`DChw3U#lkl8Six4mSb zKk`;D4rPPhaelReDI^7;Ih97T1Q{kGvLE}%#NWr-eC;V-cV{Wtj8jV90ISggAz*=E z^X6Z_nXApjd~N(cvsyt~c!axANQ+xhB`$q1fhKQ%xC>=_N(ql>R!e=8Jjb=@Q#;sz z`+17RBIF3<6rlK)+9Y)sMinGWtdd_$cXy%AHXs9JDe6~vpj@V-P6Z$?R8}|jrJ~@{ z{aeyS$WlWz{0bp(I~B9!VW~~H;N5p#q!S2nfHZ#5{L1oaQ#+jG43R5X*e-bHeefi^Ig5(2Ieu-%7KD|IEZoqIc0c zf0xwRdIoKqq{2p`RwZ{P_1l#JQ0+EP;ht!1;|n|N{e*Y{GBdiEt1srdDca3rowl2} z!052sB6xtcqLc^P5Y_!>I;m+GKn!>(7&_Oh-2rt^pds)9;91BbJlfAAH*-JqdyLWO)&N>x>w# zYgT=FzR%78Ogg*vbx1+T&yRon+~lZ$UG=9QsBvfu(_!cf&(?O(HDBrv(6^*he&JY% z5yk)mc$VTPZ*ja$)#Tqb74Q-4Dq0&DPS?Ii<<|pYNmbYf14x;xBya9N+swPadsTbu z^Ce7ht>bc{`X%Dn+wEr8m;t^ECd_T{aU`2@mIS#I$jZA-O^o23A5mpajf*NzIwm0h z!gaUD@`7NqX=(1mXQ_i1yK$HO(+D1@G!6&HLJ61v9bgY5Hpg8gxvN2OTz$5 z>m6yfzyJv;VH*MAqrX>$cU=04k)l6OJxd(JGA}#$iU=3hio^hQyN6DaHnSG$bgTHh zw-`7SiwQNx#ptpl`hQzI&K%MKBg4mAmFb0}AIAiz@5O|Evvf6Pv=^-~$gtva?2@EI zf!KjkR{9ME4Z%pnX;Ql_?bxu}mI9DGc3j++ftFKp0N_d9g(NgCFJA2!Egsv9j@BY4|fT=?9hnGU;li-TbU1sF^U7Q>iA?} z!=95t(}o0k_4CQ9Rjga;Fx5k$zTl8o-y-D4%D2RJYw->@kyHR1X_ zPQK=wuPi&lDRsnJmZJ6%elOHsC%R))ddH`h)xhkP@ zZdjnpnO3H4JL_I#H)h;R!etSTH-*l7pOTtWc!_xzQ6m{}uCm~&nJPrB+fz?CM%YTy6H)9I~Lr%$?aU*nh(C0hqeP z*i+Nm7@9z`9fOoA8=c4J*X&<3BR%Wv?B5s!SpdPn;l(c`I^VZRH)IIMCQV`k+&8cVXN+2m)A?L|JD!-h2IBbzyw?^Ghed6s~)eVdW$V&-<>({v2 z?R0P|>uT>jGGHeTK%aIZY~B_6Hnow zBH2$;h7QI~$dzrC`xLCASK4fY()CHKE|>yX>#>rUa%?U8^x zi=?`2sS0t>PWd+SDVB~49Wit(vCU=?eb%3V|lvf;$z{8|3xXKMSGZ8vI~GiFnOfav9>BQ4!B zFm40Q0H*kGozCu;k}h1^UO9DLU1Bfj8~^x{(T-ul`!g*P)pBfMlKFa#sL4UtAu_%l ztjJPi%>cZ~*t)N)Md;c+!269|PjFYLKZfrm+`rUNqA*|X)uaI7u0?vs5!CX`@*Jaa z-3b}Y8e@$)b>Se-x(V3bO z0Qm@P!Ly>`nle!aA1+=w`mg8~7-DouQ0n_8`#Ah%QXrB8-ofe%V}kNwM6zEzv)493 zxr7z6Oy~Ig?9i+z$1k8SC1L{77Vu(x8+V#1{8Q@Y@bw3I-L?^DM89WEc4RC-gV;zC z&&l}SWI65k65TMHmiYqgA1);eeXZ;~J}l%YU{|B;x?Iol@?>QKLV>1P#Ai=6>2I@l zz9g_5GoCzK3>1Gn4`Ca>bZdM$z{yZAMz{Y~!`PK#*7-PBv<<8Ag$Qt1xoe$#F4j2Z zz%E1}Z-Y}TtqHRQ1w}Ve`TX={2#y4v$xr^hW+xDP)sKbh-cF$#bxg0X{>BmZIb#o9 z|9cz)q!;#a);O58$|!$C=+UssN@QJqG@;zkiEMo^h+!EF1yshl4bO%0x&ya#Uus8@ zJfsHaqvMxzNU~Ui6eH;tsS`5n94uf} zcs13vAte+mgX$jEVNV0qJGw~x#=^-DSLSxB|%yP%zEzZt55XLdD5pyUu8~W0t zY|v3+6QD@pk%0p=5j0}J_?r0f(h>nXIv;I7pC)#*JU*Ms^E(Wa_;hfS?`v)zKzvuu z)j#I*?G8uf{@;W2znxYO&3IVZ+$rPVL#TJK|*`xv;9bfi{?RlFJ)q_d>yQt z7ic>W$dkOpaL{ylr#)^EkzdUc66kkj6;s6?x$^_T(>0*J5ZL!3>@NssuId!X=#7_{`JM*%)qnqik26$r7Mdf-%32S*A#U8cP8B zQ>PYcVu8&Vv;K>_-X3dVZ1K40Z_>YOe)0(^ZIICcb~x|;g^i}K`~p#`OSm#N*{Kn; z$TEw_cDuEBGK=m4Kr;Dv!bg6^Yq9k~|4YK-V~NhOsCTjfzm22=LY8lw*a5^?6PMz| z33Jk-@JCTu5uwxhnz{fw zL2u`oqD!1<$? zt8zpE77;hY=Ya|dmRcCj+XK&MTl< za<~@qE?;`vpaD94GYlr5h)#Fm^NS0x#mV&Lc1Y={aXyF)hY5K4LM(^NhT#C&67n^ha>$Q31TB#V4be4KsTakIZdJun&3OEsxnzoRkLwE-&@i@BA zy(vkk*13a06fB#GZak-DNPr{bcYg|IW^Z~n2<8?dnfS0pKpGB?ivFgR>FGZ?KV)EY z=u!6`aZIeM}~On`l{#YHvyGLOlR zD^6K!;4%(K1v`d5U=oeM!9>f{*_se{Ly(cwTj_F9?YnP419D-2R2p;F)kdYkcCcH; zWesy9;Y=OmTvN1Yyw}ZRC65;g=#l0u*<~@(KH|MDQ~+Z+KTVHprj@7ItpENsw>+atph(eV zrD!JOT*zifzQX>y5O=_yHL|lW-Li7W8zM`_xPC`v z(6?D}ey4h(ySm)uev*i?*-Qg|&8^GnJJPo6ugNW=UM7Jm9>}}g9wJ^VUT~&C4I9J& zEAOW+N0A|i55zKmp-Yo@*fkwk5A4j7Q`$AFU0;hc0sA~H77mu;sX>#aC@KUB;`UkD zmVR#Y(?Vg2+~+=RX5d$k17=>ImGk3e+9k@*B$S9DGT&wg*R3`K`mtUd+Y*4IL#%M$ z(RJ+K>U^@t&yP@#7WHxA1sFqLQmSt4Cu%$ZZde0B6QyyGLV0-2w&k4iT0*|{l<}_B zwaNGVJpM5ifUqGn=}{_7kK!GGz0@WG(9P4yppDRmet0^5q<3!=CN~tz9wxKT@TQ=+ z38`wp7O78@q1$TA&bv*}X`c-r3{dcaJwa2D=m-#6qPRf* zXaGFcT};@y&?MG4HR-5&aAsD~Tq1R5jcd$SEs>tVcnB)&n-svJC8sdet#E@xi=#W+5hjDm{^jevx#v`{*p8cgLnRvHpkWjT zBk|#pD5?pQAF0cjy9eQ2f~ajs>PDz1t=e!RxAL1KbVqY1{bg9mJ~O$6-vW~4Q=)uu zUC%tsU5ng{`PV}@yiqB6`d>FItRT~va`Jy$ceZX=VAb`APVYt|qkWX%Ir9h4gpnWM z)5?FNv*Ao2G{)hmQq(agWky`d-UQ>Y2^~c2He?UI_>p;Xaznsfr?B zL=K+#Sjd!*(C#dEx2lXE6l}P}Nn~i5&zB0)uaoNkTU;X>YT%h9>`XSux-*iZpAal45>5nZ-e} z7z?X%-O;7tDx6yV&|Q|L=KqYwBxBG;WTyyL58fmMy~k{}^@4k(eE!qjS5*J&YZ|+H zyi6fp-mlcD^F~P)*c_MnIj7UpZ@Z|Z)ekCKpRh*?^bn_icy{OO5qV1SVuG;Cx(O~DhqO&ZEU0n^`40Apx)ODzXKJyVFQhSJGBo|g0JRwk7O^ojHN-gB7%SD$_ zR3PY)O33@cl!ZphX@d^j3E)lLvdEEtLJUkx!2J1WaBK@c_ksBPM#dvS84oyK@7%#Eu>)Ws&Z=x z51+23+M?$%=X-B#my$>Dg~2zvZsk<~4yScc>mDOifqsg<{qtj>KnMbtPzzg-#0@{3 z=ThMY#WjHt+}&rKic#D$BOI?ybs}mTI4s@S?`r5`8Yf7^z>Fyg23xEd9C*+|%KUmWLgrhd>6poG3uo|4zQ zcV8iBX)e}v-IkNlr=&A0ab|Nxyf{@#o?;dgoKvHNgQJ=hoC#){P=veigtmGxt!Vo! zsKMLEnjX@`#r2x#uPqy8qdD}o)?dI~mPwq2hmLR=)U(ZC2$t8oZW}mt-w9Sxe_Zl z*VX6s&&YWy7)><(G}k8ktz&UU!%;Vd{rf?`{`1AtF}e({qn7KuBwO$*`Tmz`@@N|J zt};ZqhKm8y+%ImkDwi_f%k9el@^1;tqDy@EIKROJ_WWj?0z>H)&qKY(xlo%>H0ewx zp9ZP1uj>i@Ib(l}@U1$$)4SBA*{f~#ZiH@>18um9_!+Y2^Yvyul&&Th!%r&(4?B|eX{tZE?EX)d^M3_s;Lr_9qcRh zO^h}RgacpNN-HcDE*2fSsM27g?bT|WHOd8}ymPenn_AK;HfLCNvMuy#Sm{_R`usDM z`m_B%q@M&0PDDRc39h)e2`D(gUmV}MBj!t?eCz?XG~dH7puZTZ1=GuoalRLA6(2h> z7RS)P*%VZ8$Py$&%waT1+FHs|{t@o-ylTgwI5^7^fKP0QM;D~8y56_!e4KZ;#E0Fg zQZ*foCBIaY5ed&if;C>qUERjb;37>HpJ50Y5<@}>{um8UZE*aRnnRKeLIMt7p%0_f zyrD{J)AU9#ZUvoGt#6Vd?)9K3)*{*E*%R8EU$qXTaxELcvHxVc0q2+8%tvkDd}4?E z)@1;r&!d26A~A!HI7P%^KK<1RJoM33gkR=bsLEBBY!rouB;{aLT2{G3An3*>mP{Ee zwDaDsx!ud>B*jvF9bLH&B~SbQIs$-x@Nch%AJ z>u@6a!6hvvq%Ccx*&sGEO39)mm2Hw{OSslztF5mMdgPa)|Ifq^NaVq*;}&V_lz6jye^(!vupd|$ZR3zyf{KLo^6 zFJ=yqe{Cv%7SEhxMU#WL7<5KHeLOO4HZ$I0vw;?#Lz|Wc6NImv5wUY&{PX8uY3BHj zK#_>Hh{w+p%9vZwKH?keZ|{z5$Nh%E%Cks+-=F^2c2}*s;G4e<27S#hbT7ANOreFv zxj!Yxq7DUFtYTffp#Q<+BO**L(_t5KICRYdKeOq%Ynry;g^kfWYkLTTmI7~ORCPkyWo+egGA52J9R$Rpj(94{9aj0$s(dO*6=FVTY;|dg#UAdi zAF8u{K9KKDMy>I?$3y$gEu096MktgW^=0_=+3oWnZ#aRWkS6mbf~xV4EWNK=$|b7# zm+>(_z*eLKej18I0W*ZdT)n~=n9@~52L0pF7P4eN*t2ggLt@)Vaz9mk@LwSKo9<7r&QvibMUlUace`Kuz{a7#=yjJi zQY;ETXJ%Qji+u5^kanr>7}nF9>QiI^)tWrMI<{NG5Po8CE0Axg^ybgJ`?d?H47wnw}+ zD0H9JgeJXC>Z;3>i(qMo3xNo&j^`76j3@hTRN3$}`z!;ofGq{ zfium+msFe-D|D}yCb?%qBI3+Fw-@*pEmpkv{hBkj@KaK+BlWeHRCMyHk{U9)gqe+r z?ch)dM;@uo$-we-96;@i@ix)^6H#U1C9U@$5$;o^P3{JWra zS^j+)eg?Z9O7`E%zQ~6I2Xi0p+bvkn)hb-yFB$E}X*;5I?sgP}9J0IgbI?S!xrYkC zSJS78LUTMumIh+<@3*%_FDcXe9jvwc#o^xQDyk-eo#rFPjMsw_f`mus!G2i6FomGA zMX?iS1{|X56*kT-nG(!SbOI#(btvS6%L1iO;K&6-p!oh(4IP2{tkH&>n)(ih6X8K6 zo^WENNodjb%at#lF?6SdNr2Qn_Kzhdaia`u!a7ZGvk*SSNxfb6UA0)x@7`Yhu`BE( zD?0tX8~&N-%a2(>uKSgf)fsAO;A+3(o1&>aIb1f%o118R1vK=@DjxX?d~o)^3QUY} zxywoZ@;;@AtQ6WMaS7VJwbb7x`YX?LsY6(%2Jw4Ke;F;BqLq+UGE#6JUh>QB11~+| zs?iY*U?ei?@>Q-w)n<71vG%E+O9jYxYz#Q13DcT4k{qwD6O3}WtTOn;>%UVXaItY$ z;iwSIct{S6^kdxn8^Cm?fONS7?lAo9Zx>{8BbbdcwbNk|C-%KNR+W75Rd^S5jPSbi zfTWhe)}V^cWg@A(do1|l;Nof}@@fYAT7LKr0d%i(w96;W;7d3Spf%#Xc z(oHu%k3&@y2S%NnoQGFN>NUWtW!&}MEU6HCL@{4bda5P7hgRoJhk*yVzG!O7yBawTL%~WBj3rraUkyAoO=I417@KX z`D-{^bV*T>tYn@oLIzclnP4bw8301U9=(@?Z{U+>^~1qbKo?+Pnu8z@I_k&s8OWyw z7l;A8iLf{;Ad`nYVOXm#<)oTzF7cn$${}*7k>~1Ypnn6b2<!RPO!{#sX)+(5N?>)-Pl_`36WwmzJ z{@2%52xo1T3;42ts;cTVkI}a- zD64P?Z1pavk|(fPgghWe^j<(0$pL#s9X#YR$k)&tfcp(;)fIE%Y$C!7>2Cz z&*FULVg&*JSBU?$dhy@pe+c}C!2fFm#?!l!UGeRcD$Q@tk zZ;aKUfq?%jhy1_3{(p!64}t#>_+Jq?U^YPFhK2j6COvgfoxAXr+DB{mD@D@>&LH@Q X=8ZPEM;P!U41kP=j0lJM7U+Kf71L$> literal 169551 zcmeFaeVpAzb;p12-OcW1pAwSnk_}5(lZZDVgor6njJRS%M8t@Qh>=D_L_~~{q=*q$ z#E29j#fTANOqcK=BBn?wQi>^3Op#)WDW#NRiijyijEIzS$MyIAd}ikEH`$xt@Adlq zorN=*&pBt#oOz!4KHXBSG?D*H`L8t)8!DB`O|{Y>(WcN0E;os>Wde-W&=wUcwbD{6 zbV{L8DpzV7(JhS&Sc{C29e<2}W%%i@HB5==%eB$~yxuTX>g7_oT-%N*GU$&AElSZF z1|)7Nm8uyeEFMG1CoF}ygz?rnybBsgJ*;pzk@?lQbQ!ToA@ty;J;F(%grBID}Bm{OY` z8P_C6Pi-(Vu1$>I+TzIAkQn>dmPW>KVoa?qi;No+qpvm;8Mh?HwAz};xGgabsBMgl z+Y_U|wmCBHOpF6-TO#A`#F$>&78&;@#zD0mk#S#Qj2m=WA4srevEhRWwk|b%IKj$9 z!$%UFRGTPcP2o{7n(1%!E_DxM8Xp!42_sa0(BODn`m?MLry6z$w=){`R}D``*z5sb z4Lc(&mj*0-F2bhLd_x*fY1>MJ^yO-JA;R$`3IcpF!bu+V)$nqJlS|8-mRUn-r<8^a z@kOwww8pSG!rszG!?p~`G#{7Y#a30otNPF#fI|}oV3)+3lf~X%LTU<2 z1o6Ke?Q&B%Bf*XcmnNu*vD_NY1QKZh(Us1YP*dH=rGFSRFZP9VC2lX3yOg#soR?td zL|`SHFIXyf#EdIpS;Sqmjk8(~9?fc{q@Gnv&B*)0MPgvw*80M#1YL^0aIs)#sXSpm zCVB%I4V5R?QS*P9^w8P+DPw+ zaH%R+M# zjHd92v!D+vhrX~~kR`i!zNL>P>Hcx;Y6?#z#?-i~^oJcVNI6X#r7ceLv{a_S8U*%) zol&8>6s;BESqb~-Gy_xvC463ZG83Fe23`LJVP>$@*I!J~BcU2z5^SS3euHu~yb|H0 z($5V?BAizGDX=M2DpIB{M<$NxPYm!DiK#l(3su`D*sh9Mr>boVonqi=AFwVJyPok1A=l) zb6O?L5-gRc-tt}iIaeL`_*XSZa_1$JI z?(0LwvzuezHCBx>6JmZiu;+{kDltLEvnw%yu@caKoZ!Tqpd}{Acy>!nV5|g;I47V^ zVh(LFLB_M&Vgh3&=yrk?;S?pnKNcXhUU_CX)to%_uL!3JW50_5!sLd|ig3DknCRA^ zN$HlD$IRe?Ff%L_W&w$n*A&haR=7#GeKWKg#^1G~bxf*`kDQ#jAC6#KxqaDG;9 zL%A(1&&uoE4i^ZjXQyh-I9IE2u^s5YF#$7}8ZP5J6pTl!bwyaE1iRJJ#o}~PIQcCtL7sUa&AmH$*%>wq+%3j5tjVy&icuJ&H-l9HBM*%^vN2QLV(roP%s7|NxL6^#=8=h7J$OZQ+-kV=_7x&fE&aY2>t zLKo+WEFE-lc4R3_I#a<@f|?!%NJ3LTZOn@3%D6r}ljPNj8f)LI6 ztP&I#SYa)&-DIx?R+ysZ1vbHMD!a@AD_B@yBa92|rZ8fN-cQTp%B8F7c=pKrJr;{H z(WNYZ6tgU9ILl~~ zEPtddn?ifaaxYtzZi#6#DYFPq6!aS2s)e>EOo5^1Q?MfRO3YC0OkHZKF@3;e^ZGC? z$#a*=ICm*yl_w7Oabda=sDBTVTUVGNs1Ecwvf~OAP??Whu}AH|>mvyfR%8iAOkd>0yl*Rn!`Gon21RYa&19k7U^Kw7B&cXlDc-@ zI22ZdVJF~pECkOiGgv_#W%S@%lC#?iFV3VukQtGUK>9uZeOMJ#NOD!hI=0mj=M0;eJ76 z9V0_yI!o!uur-S{QC7l3g3~FU-R%kw+Zc6r5aOQj2oS5)+Ekn`Umvzhtah0j7vGF$ z&yDS3JnCFqcuWa=K5vf2e?kluU&W=mb_ip;J6=#_y*C4u3CQUh&qUl2C%C4tGbQl# zf}Zd!P#!W==vL23$iy*TrCSho8IqZ7k=cvFS_nqcHt~;Yv-nqD5MGjae0hRth{cl@`7-%lxYxm8nz^Jgw-pmu~%d~yBd3iu}U7-&(1JU38n*U%j7#} z?37<^5&7fJ0x7Uac506{E*vFD;?|K}WBj3=7D_ysE~Apu?1RGN%dHWQ3yX~DW3tv1 zju#{wohxa^69ikyZ2`CvPO@}#JT4Y4jK_>~vl^>#)Sk_sk`koxc&Z?>3600&=~)~b z@eIKZdX=5)3QKLQ-0Jbz6wVUFYtI#J;cP=TLdUz-&Pmbb+BO~*IsE>y5a9C+PIsh`xHDx^74VuD5DZvEF&djw+ z(4({A%r%t7v8FB+WZM(#qARQxo`7$fxrV~!f{dmE$8;IZ>iywL$gx&d&o%*2gXvF(vdygA4AV-uv)nA{Mu}5K^ki4)+Jt^GHIH;Ya8f^eju&3(-?o_CE7}OE-FxBDRhSCWBN|t25Sm0B>k4CzaqRO2KCW8Q3Y%Y zuOtOuAsiQiV5{u=4tQHAjk5!tr7yU;D}w!$UtJUbTB5i=4y3-&CQK*t#N8L#6YS8= zsV{UU*g0U>ouF@a92q7G($BjZENKjbDM>tj%c2{U;2lHK7+Ja#INrCad-k=+qapC{PnaFlQtSFXJmVjYXPCsuZII7YYw zxyM~|I99k5>>2VFOsqx@}lo6-fHcJfCe8WcZ4B^6-Amh9xFdkhC+QXSj;4J}nOSDR# zoigYJF-4st$c`hHbwyy)&i0-;!xJXE1_mZ~JHj&Yz5RuyKY8gtwNX=8p3HVKb1j*2wS4C=mZVMMV6;RvEN>~+P50@yxJ>g<7k?H^emu@XBl{@i@YQ02I z+t;ZmuL!FJxm*_=*UAzdzuan^e$ylvijyGqab>dVNn$9h5v2T6qB{GcLOHprwN`Q( zV1F_Nu1j#L&NcmEJrL*mMpw2CQqawv1_PVD!A6OD%YEF&;;%Vu5*`oMnVe(L&BE5qVY9UvSE}?%xLpv}oEUsZ#Ic`q{J&F}QLhrQLAxu8+e@zj_Jq5E zM5@aO`ocXDl2g}wlq+FN)UBJoFXBlaLS%J+#OcycZ+JkM`OjHZ!qzCR-(z^txa9jc zH0484+~MbBc~=z2YGx5MOhxYtFAD0q z%4S#lO9{4ZG<-S1@oNlUNpOPRc;+Ot7*A*c;f*4AIc}s>(z`1fKiHg-L>}@g237Rk>U>6hkwK z7Ja(TRN;O`vUe3L!ZcxK(=Klc`oeU}(I+*1enx`*a*dTt5Nq8Hnx1K^n#6lsIOj;N zse3OA=Uk^}Q{;uSIn0YVEgenaaAB|WV^2_&ZGps0cd;_M!V$t0t#la9vrt8GeFM1A zn5t{E0Yv|ptnY=Y5{?xvYycNUT;Bj5Z%ozgWdnGE;LG1Zgbqu`1zoK}Kz?+)7vyahgQ>!WqJ&V`FK8X>6RC zU>X}|C78y>*$JkxaZZA1Y@C~58XM;&n8wEW38t~JEWtE3mM56T#svwcv9U72G&U|2 zWap#ln~`&oAhC4Cbrld)9oepCBbyBqAkI6ucAFc->cv>n&1I(WOOH3zjZNDjM0f?k{}Lyk>!ye z!6`5nQhzL|g1s=(0jS^FaNHilVY)D@UcMHd@ocxznkZNAAwvwZ=%xhS>aK@|S%S#M z9@x-6GE}n|ZM>N)*qN?(vD=$xWB8_HJ9pXyr>2h25odvLp=)QHySDLY*KQ9-MFa6^ ztQBFQAOkF3@=*aaz&gU9__~=eNVW^YBEe~7tU6&^a{O+|n&BzgP&m=aFqhU)QYis{ z>cSlUBnSAiO7gGZW_ zPfs`lNTlk=w&}x5C8m!029WoKvl2|B`J4m~Aa~}t^I~Fc0=B$SGg2;qrOTq!cX$Tj zG=~e6ypMfF+HqYdtc!C?5zh>(1nZj)?rjO{+0EY|-V`noj8m|0-Dk`cOr^F&xtfp8 z$7tUe8G8N*4LVF^Hw|39DVZd}fGWBYE>#wV`CxU#2iRfcmqlEko-U8LK0RF#aeaEa z5{zM2OK-SZQZ-twKla~iqI&)Cvd*}a4=>k7F?XuA$UUxICV4u(Y!FmO^J$|$41>{| z!h$0EB-kX4DX<#sVcGTFC^1iF#v^)jxJ7t8I2~VZi*nyhq%+(ucmT~ch;<&2v35GV zG=;ka$+crCQtpx&<|AWoxL0`e?6M__+e?R#q$k`5BvP%N7fX7-#q@nzmU@36YInz8 z+ZDD7>q7Dp@>&rd5@gm%1G9cY-)1%XdKzK7pU`{4cI3)+5kX&gRN53T9ZVk=EcAsZ zBCf9uPexonnC=iBJ(xZf#r3v*+PL1f&qOh8Ta6{&ndOuSXPy;oqc+v|tKoUU4vzZ+ zz@G2|P>%a01M25RCuVo!QOz?jPED04HCI0^rlmk!LJWe;WBbQy8FM9~)P|ga=KVrn zXihK<`Zl0ltoJe=iDFpeb>m*vDe*MMy|!A+0uzM`S0bhe>xG+mC1R@JXfNxxcIsu7 zFkKMW+(jw*K*amU5!xGO2#vrMy=@}kInyYt+nN(`eYDSwxIWtFMO+{4 z^CPa0_QSy#rakra{SlICv~LGi!qHK=-X9hk*ZadUQQYAtuKL2D;Amf56s5^i-bxZy z@6epjWyC11cf}Khb64yNCq;3)?}9dk#fGUj^o5fJvDL1=vLKu)$aSGSshkd`P=#wE zOQf;)Ya(Yv1NCbnX9^dtiJTqflS^ljA8#QDjyCuC)~+}AGQmP~FORt1+!qLsHuuUX z&R0Y(G)#5OI|+iLySG&dw(X#Nypxb%+Pw`Wn09ZMB$#$@mnN8YZ>tkbySK{{OuM(s z6HL3eD-uk*w<{A&ySFt7rrq1s38vlK+63#nw`;_phSD)`ogl?Y$G~fWplXBH8?>Bc zV~{=n7U@%UJ&ZDDJ~9qE+zpkeA{J>elB zR;y&qmC%PJ)b{x(vg!+u2;!I@CF3;Yq{vfFk3~F*9!=`L@VKx#tXiNiJdt3VZ1;sH z6C6*WfjbhMG+_8tf|Dm2KAoVev?)B3U}Y)N-mp_}^bGKm zSPfGmY)h9wdLztFcTJ6OQtUKgT7>!OuKoz8q)Q;vBg{{C4Mdoq?wS!{e!6Q`gz@RF zrf{$!^|1x7So;L24(>>RH-$OE+FT>l^II9`gPXB7*WAi>CCsw{EY#R#>9yU%VPJ~a z2nMWhM6x)gc81R0o#ALPbOq7Rgj0{lBojJI(jsJiY)E7b;<8#PJ~zdj5qe!EO&Upm&k@<2Wk%1%OJpShydo z3qjbuM7R~~vtK2w7H$E1TR0 zQ$hB8XyUGDH*F_}!`-%#>Fhm=;k1lvnXmfi)bQe(G(t67QUnO z@|Y=*>(oz3tRuuvXgMD9%-Sr~OmR;M66;`(hVs*bJoQ!@K$#aLf$*#Atov-z?NU;n z-7(A)R8x39iEXMq>=Nu?UAYWXE5eI{%y0RXLe^RS>klu($6QCAb6-hTIyL7ug%QCv z%@QY$DI9~o(vFy3+}>~!;gcAWdysqjt%No)c!(y>P6vff8^BNPi7+^^V6f3FGAZiE zJtmVzuP_e@##x#-Cykjc_n0K6W&U0!iT-G3O0>fT*Q8Is@x#X%(<^AM>!Mu!CXe|U zIYAo28RsEvtOTr1uGxc?z};rghY;PmRf$zmzPK@(hQ!8q?B=zDQY;&Xi}q5mB6KBWl8sm z)y_+#!uui98q7xiYzI#(kSOm~9MOEBFDK0m>9CwN(c=}z$S z1k;`13ldCsf>$QkJLrrqOfcOEz9>Q832q9j60B@Nxi?%aNEul3G#3wL>B!PCa~%hc zODslz4cff)5g~^qCtjTryM(RbG9dgotul{ZAu)_j-E(XWYofR-Z|c`dOi$}>kTvS- zqB>i^9nrHwU30xbi9N}3^|!=T&5gDO>syAKBJ9*VmAG=Vp?dYum|`NnRbs|OXN?;T zvbH%U_e)*CJF>M;AZ-nI0Vx*?KqJ@gkuoE;v$jd6k*2Uk3@sS7OU0;$`=hz;(w`Y_ zjj*%yPQ!;H>`0%P*cM@X=`f_NVLMQH$69O+k40Rs^e3e5)#>Ijx9jm`hs4wyPs6ID zP2p)VJl;2st(n%aGny|qDr#?dPKh-jY71gfcZuQSY^s^!T`hca>_~A=7$!g6*?ncvsLFP88N=sCJYt22{f0sKEJ8M)_)%F*&N2wTDv#b%d=g zkUmFjF~)PNsDZg`WH)n=REl(NJFsp^BhIqDA*N|Q%TrPh7Ou8amAF5&c|mdG>QCY^duudf{MZ7~VsF z)2M!fL;K8d^B(%Q6!haUztBOcx7#GAnLHkNm~XQ&~4AOLMqO@@@?3 zS_S?8ZtJVUg`2}Y5x2zC!cf?f?2T{KtmxmD^*vns!vkOpjn|#qINl%37UFv=mGH0_ zbr*)hHeLx!lTLHZkK_WIUbLC6Qk=qVI#~dX|d)G3OkB+IQTqm%=M={ zHTcyVs=+<6GwhUHTg`ZN>N!ECAQ)(H_%o&hYn*q6UACrqVOA{ni%IUs{8(NDnf4|& zYBz3dChZn#kHI#Q6AN~QN+*eV*0WR_knx_-0)uR;wJMVe&a_DZ>+OxKH-}D(*|@7H zn4c(2!ZfK)67>71JcuiKZ<05BS&<{3^(l3(IchBaQ9*R7Y0+MKq_Z>hN6e(kW5v3F zIv|E>vbHKtqO-&(RPMpX52bp9KkM^if zUNcsG9s$Gk$?MN*&7-11ybZ(K5rXi^($#&8aoxSatUVVoXB@%3J9k_XH+HTooDi+y z-0{)5lVHfXs`Fkfv7C(k?&PT5Q98hRpPHnp*PSM~cUMkN;=Q?YMl`N|Cs*3SnNC3V zwQ4hrp>THHLgUrxT;w>*2Y2%7bbjO%R;T5WqpQqmby{hwqxF5Euy@F5by_6`t5a8A zorc6<+uPlEb-L6BHODkwoi4MS*}@IHB3v%ab%WjK7+w}PA3Y5uRdn?2UPKdPo|&9+6k4Z81s8awt4v%y8Sw>h$Pt`YXa?$zXhfN3%5( z2dmQ)Q7=6u&*~)1gFmq+u{ss)Xmv6!=|)ccE3QsFXY>qmY}Z$SozjQlZD(hAR#5L_ z*Jf(uvRoy(A75<>y9D>P3+)OoO6*ek~H?ds_V36YNl4ZJ}Gxi{Dg~sG3P;sA?MZqW;i}9Ba%ldCr*@IqXXE zj(B?H@V;c8b7t78IzO3EVFwE{WV`c@c#arU+4wx?%oBsHvEw6Oba(`5gy*$O`p{&8Qi@`G>0prUV7K160Wvh z?nwuQwNW06PSMsGyJgiSseBDM{n4_t#^OyN{#2a>Ios3?k|Xv50&QWVpubPT zH@kGdaZ{8}MuWfBa5EU&Q}Q*rTP4>+p7CqlePMHA>=(a*%!>rJz(j(<^2%_hAT?RV zy>jWGh$nJ69UeJU!rfM2YvuVnV5QsWhtLF>5e2#8UNyCty&XYV9-?t0_Dw1!8H7 zw?ojE96k~!jn@Jq?*ZpN#u#&=Yn6?b`zR))rof z+HBqJ;!t=|407+>%WV8|G*H+9hR7-G088D@q_6{QhC{2=cib()#T{U~7&LQz2gnyT zXb9@P@oYTF1~sM{?*Mx(rzO)4aH?>F9bmut=%pRtbm0a&z!~PFmv(@&gz88)5KeJ33?QB@h-v6i?FjG3<*-e*oj-iC19n^6Y*-vHKWv? zQzfy&I03$-7gDdVLLQ!cML#9z^rz^{)v!j4biDz1b=2pw@HRQw6V}2YQhkn~DO@8l zvF_;JwSv@>CuL4g>x~ho+&2jGbP2W!X#TdTcCa8HJ`??v1B(+8IkUN9df=k+#R*kjV8`8 z64z(46=92UDh$c*7pDJp)K;mkc@aD&;4UJN(mj+E>ZN;F43&=OmnhvfLB5U8MR#yl zcqEG3eMO#+NDHz{wX_-@737X&y>ySkQ0dMhSP&kMiTQeH%=}4VdP0}iDhj{D3KU+; z!OHNIAh$vC3T)iT3Y>4cKO+S|!dV4~kDb0^ebo;Bb%v0{rG7Bq9GHN%i?c;-*%>NgXg1O1;c95H92kqs(-UG) zdC^`av`3sOn|IQLb=P$n=K4Z+f^AC;Cnh+4vEifyCk+}-NpSLf!`=j^3>Z#LuxBE$ zDNIYSG6d`m{en1FEddvV>4Nkj_urpLH0}&;+NPu z!y+-XtNIl3YB=6<^@`0j8|F_GL*;cdw}q30{jIkj#zAy)R7k&m(iu(>Ry%8Q<-U9r z$6iG*Iz8gltlXH7xc-XF84;(`I(O#5RDAvW`DaOvL*Zg2cF+#PA9!I_+ny%k4UK4SB zrCBR==8v|=(B~spf?9Y+mi^zDdgQ*l#G1TV62V1Vn*a4T%h)-{bp~@Wd`8Diu?<0xh=%92{%%BtI()C6LvyDr~yTW2n zI1fMyFwHoXmfwT|juv1*LKom16@VWJh^f=(xZA_Q!m>5j{>-r$W2&q6FgHp&)mnHv zUyzQ{aGo9t3#?7y_i`dX%EmFEw(ki?1Bq0RBH*q@6sBDuPq7;(PddY(po9n6lSN7D zLupeuPH^vzo#4cKbBqbw)-a$_^ORLG?*3B=Cr4?j@ZNBWFfCBUlX6=)HHk~LHnsdv zI86+C?B33xOOT^jID;;YoWdFOtjH;xLC>+(yvc0}=L*xYI`b95^TjBhL6?iM_cQ29 z8)OpL%Ng_{%k$ZePxT8^$9tX`hs;M$a~1pJON4Q3PrcRVqnFO0mkBpGgI;02*IQTT zmBLhKgF1sL2r}1a0cBR&DYPMw?|w*gWj3!?d=SDSJrp$?hki^V{gn?1n-rG=l^s?@V=O& zeg?hYSRK6a8FcGz`YXbN$>5%6(1)X5{S3NIxNru2B-`=2HxwRCcKAkL{M+LU`WSMG zQl%p@iXWG@N(PU)>&XPu!RV=|%eyB7h!=!sB(6WqxgzW|E~SqiHHBw|wMLH2-Qzkl z$@#Gwi!tCunKegPJKB5*d{GRrveT*~=tt9%wfek-U?*Q_LXB*r(oe& zW!%NFicUi5S;eFP*vqkMip1J}r(@Mr+oO7FS1J91&@TqrQ6~PH!$4F>Gj1i!5XRj& zbu@)p)>m!fUuQTtiA%McWUnvG5rYE7tDb1g6+>s(+V`bV4fCxbhBpzt;czi>74aal zpemS2o^|kusP50+QQo61CF{6KF3i%nh7Jm9$I{>y0L#O%N!)mqYzxQPIPPPOv(@o} z*)g5~OVU_&J{fPETI#R`oo#XNm*F<&W@bI!gp@u6c)boZFO|vTP93rt1o;Ph*4blE)-+$3*Ram z)PmCZ;_Hy*c|l=86K=5Ztu`OMwD4UfjAMH)d{>x{URwCB6mGEaU2Q&knnUO)YlZ(` z7QS_sXFs_iQrB<1@NL*bf8(fr!-a3t9{M*H^cyXFx9p~WWVkiyHyQ_AQQTZN*QmEN zhdU%MEPQuH^Yw-Au88Xk-#y9R-WI-lvwm9mwt!=A%nRTB(x3tBx8JwMB=v>wL1Vh! zUKYNGchg@Hwk3mmE_~agUVY(vRJgG4Jyx_sRXt&>8HJvqzdaVdCy`T>wD9eaHZWa$ zeLBH(wRNW;C5pYaH9Q;B*3ZDtOYS+MKedZy%=EV+yx`TC!MxNhz)=UuR+v5*?vUc$fZ$aKHD7mIyeyVMEXl0+a7==21BQbM`Z*4M z3MD~*aDYe8608iO+#8M)%q`7jG{N}Y4oOegU3y}c#&$kwcj@9Rl^ea`}D-HUqhRZUffq+*;*j^eSGd|L5NF@#;d*zZbY~5VccG4__0=gz%w#jpUCfyaFVZu^o4r`H89jt zePK(2ZG(pQB{+V*;r$7wuQxo9pugV0<+ubZOHu9(4+@TslZON~PS#lZ@b1!WSxPgI z_L1GC+p|<|^oB=^(n@$tkmE)i`fcIyi1WRgC!CmC9U^gCcrr^>!rrh$Fnie=o&v(J zUs`=8;`*}ktkiwr*)sOxC-?a!X4UB&nexJzLB}_ECB}TmNhMu{dnp><%iAljNLk&W z#*@ZUABpO9-zt;sYu&dNaP+NV=Is*Owy}u)UF*yyMdN$%tyjwOZDhyT)wM57 zlh_@3mrQbJCF%QG6K~E~jx(`a^PBHQd0&`OPhX1ZXBFk#Xc5G4C*z7^QB_d8o6~T8 zMVKq7rQd_7HOvD`4$-f(77&c`YQy%g+u8HL=c;cSbkqlrM?qXEhlF6;mC zkN7hj&XWQ)%562jqnz<u>RCd&1`DNRa(abcMf0Qij#FdsF%zzl?HBi^z}2HTks z`5BXo_OPFEwr^ate{r(k9qo?~mt^}-W4|Y?2C8Vag{suya9PeEy|0^bd|!7>lovC& zB4yASGvJA5F?3aim0qKYtAXZlcU?CNDB?9vQZM4Qg6f6M_F#R2xe7DRMKmsYu+ipp zWx-WAK5WYNHFY&)$PDZ+ z#$Zp_22_!6c99>+=F<=BW*mQ5cTF%Z7Wq*npvYah$d8MmQy6dU3{o#@)hEo$h3*JD zoCp^dxrk2-(y`myT*RG%g(7C0i)dUd;&Ul|Dq=_2Wd`=ovHcg5K@W`n@Dh;1@&(SN zu5w12x&{RiD0aj|Nh1Mqv)M%)|s9)Xc3OUw7+AWRWjPv+4F8Y6*5>O#^ z|4$Gj`cJOv$|s6b@c$$ysr!Gjp#0ZXmro=CclZA^DUAAmy7kFok^Mg->Q}F@|4S{z z|1=mg&V$jo=>J(tQ1t&CG30+?FrF)3p#<^i8dj_VU-}OBAw7*p~#p{*sM?67|UlAxIMigGCEiS(O}`?pd$-OgM4mCCUw6K zh{BK^Acfa;9ykLd+sl@1wY1fCwV>0=aJXCy3Rq2pH{(2bjYn&h!;tf%5(mhoJ**Mb z^_NR!?j?P3;lY7G+?EEy-`q?UEXS+HyOHC zy;sOM4{c-lOk0y+T)0^Y0Q<#hxg*?a2Eym;^JYP^(_Lk5o8Jy3lD63W;m(M854hBa z28FykCD5Ln1L8di`W6E}^ejl7c8siV^g{W467#@9d!w&S@U8V^Y~skBV-D4&bHam& z^L##B=1zvJ5UC>LKuv$T*ZN zJOUO(JiC0T6zEasW(8TGjrdh+S&++aT%Onvt^i{dJT6Gm_=6rF3{QYbN&+tIUt>s# zTqb)gIVEzLsKt*(jq0e!RsgGv&85;uqQW7g9$R5{`4B1CV>1r11w5|jc}VJy)vzPF zOy|KfejHnnO+vg?VWtB9C`jpp;hB07+)RR838^=eF~5jfZ>FTsRd1%G(N%9IGm6b* zMxmK9t~Zkzg=R7?Hd9ilHIF_-WoXb%Jetgy%{0YW@n}jK)M^?{W*kb_o0kf0#yk?F(Ufud zu+%rrIE*aPXfi&ee3%s6Hd>@tuGLodfN$7bpeuK-bv*XlJLNh|&Fv*uD( zBdUtZpA4m*dJXY|3JJ#=qQoDx9K|?$Toct(jkuAWKGldD*^D`(<;}R>EzLM|w7kZL z6lRa4kjh)n^HAMV!|7^hmd_PW{VGC>AX7_jWMjr=Ze-zD1UIt9g+?|mHgZxJZRDge z+Q?=U8`+FPBWGN1WHSnlY+P*Qq)=~UV`@E@xqbICcaE0X&1M|S>}C@#G@Hf6W;3JM zY-SXiE#rE#nNesq<6^TVg?h6YS7}$8#?3Y{79sZ2N|+>ApH7;>6yx+ZQ&;E})Tg+7 zTIVX-G#C_VFT14aQpa4mcB?Yz4>O{AVTW?CRM=89e2>2^R3+AqrS@L=I~?YkLBC3; zhm7;-!MM0*nV&MKA0-!vL96h%o_*srM{_8bUN_{YhmUp=m2$E&?GMMmpp*r-kF|>2 z-t#^sdTn8m#CF>cGYp60&A{z+XvjDp8jOo>pO`YJyS-S9=(bv@JTshZ&Zyg`I*HtV zdvyDB7`wZDhE?SDD`WOVxV=CuLA~`#dq^cHyjW zzImgLFLxq2{)OoHN*KF4evwt=_@1}tUEixDw&R{yhr^H=IG(oS8RzY|u^eyrIA{u& zDgm}S1_;{2>S(aT$CoR^<;h(ABwd;ru8bp){H|Cm30pfRJJ2^I|&Aif$S3rPdRHzbqZ&d_$1aIJGB1vzRrz8*|u zFGF>sv^`X}GFP!Z+~nj`NObr{!GgmXXNQf84x3RtffY6Ea5ORM@GZ`9)Ztsfdv|!V zwCyk-k=2g)4l%kpA9^lZ7VZ*`D-g4B!aPKb$DWNP$9!BwKNi*JAoZT%pgPtzgEjOc zk-=UM1$N*IB4!sN1={S~tRM?C*(Z~QlH|15MkJ*lD#)T)c3+bvt#<|Lj zi!PYaU8u66hFypza-SX!J8~A4Sjvo9u3SpvVisn&lq_)S6-5na5lxT&LI%m-w zv&fjG#aS2^voOP1uox+eqK31GCdh(sYATDJIg6H zK^85_f>(T%1x;02Pgj{0o)@I)bPeBa`9fl_gC2^FDZc(kbxWupZQM``Q z1+J8eAPZK#Qd-1_9enJs)X{G3l50*#9%r0AHZFQ>hASm`T-30~(M0xmICSSMQt!(+ z_derd7G`)|NWHJ9;VhyFvT*Nf3zL+Ey2c{c!W2Qzd^Ej=`BX8e1;6vZL!Co>{gH~b zcG?~;W}IC#F1lz&(Z!;MU5qBOi+mY4XORX-#(97k7qc+KT_X*UqK31GCdeWUkQvH? zLYB0bpA}{a(igb6rqT|F>K-m+oLw+3x?o1pg`$RCh$gZN?7edqY0AzxPua%BEX?qH znWpTbhO>w!$ih=LFO#^G3;^vqdcxsAB30e(r_WKqMl6HQP%+wYit8|RC zHF{X%Jc${FJcmE_fru4hnZ!Eh`7we@SZ?E7CQ7Ywfvto6JZxWBX*v2TYhSp~Vlt2L zB0)~!6XqlB4XYA##qbGVLE6rcPxuNl3sy!3_SgoHm{0gxjQ%#~bg3YfkTPDKV3)e! zrf^w;)dAJ{RdqajKwBX0PD`#jrzV`>@|>U=6J#8J2XRd>RsyoLJ69-yHti}JpYswV z!UZ!h9|;B%(G_;O;94tlL4E+pCxN4|;WKR2u-?ipn998&!Y)5bz~fZOR427YL5CBh zplr{ss$&YucxZ`uv^Q^z43BlHMoYdeBn^soQ!+uT45*}>Fj5v>D(R+hW6rS}bIh2U za*oEu9L?}FP2DQTqK0#fCdjd>9Qm3HSrAD(>RXi|ov3@O>vFT8XVhKfN9Eojh8CK; zfYor9pxR*&6Fm79VRw2c@16+vD=oG3-U!>%*KD^$=o^Zpy)R4GSo!`4yGk1kABeES zziHDNwgTbX>DKU2MCzTmxXr4J*oO_b3(DgfuWL&Fm>3#$wfmVfVLXu%bPZy%H9QF< zvX?XAQ&QF(ICAOlci(eit3Nyw6BlO0XO%#{(i}`s&k1TqOnb77^PbFjv_&_>1fCJ; z@oLec28M4)CN;8w%!s?94<6~f#hEfpbI3~x`i%_U!xzN4IKNfGD-p*ROsI?i#%@dF zPdS(NC$%2h9CTU{i1U<2O*HzefVTmtb=EQM}vMJ0@`qim%gl9Z^Y8>Ilqy1rHOh8vC zqv8Hg)S&urN+xkgA710S&Ed*IEj$(fhrme=C~m$cuq+<7B$G?hGZh; zNEIEOO6jjn^n`^#JgIIc_-Z)D?ohXXD5YP1r1rRxdTipiU+ii=PEc(!=AerBtKo#C z-T4Q$9^Tx_3cocdKE_M4$ZS?vEXZK*@OO_W{V8H-`|tW*U&p!hmKRHJMzQoo4VONe z%%x`!lCzi=H$558o)(+bxR`|*-gQokO(`XDfTW|t#JjPmy*#;^kiilD|ngsqkHbLW`QLNyihD#q!j8^bPIg3=m8RrT%E@okdk8r7iiyF=%n#dJA94^jT z^v5>Lcy@nmL*rr=X1EReV;dGVoJBN27X7Nsrf`X}pjJEM&izuL+HjHEaJ7WGM65O( z3YQCN5#wRHIMd38{%8uOl`FD(qqdwC*3^@aos<|8Yb7o;S;o1^jEjXequ69c4Hq_= z7;Un3Ig8X}8RsT5E@okduf(M$D{454XkxU<*5@ozlVzNn%($3^8SWLS$%-1zBAUoe zHXJtQET+d^k@4*5u~!%uvoOQGVtVWqMGa>WO_0TOAiZLfvQV#RBj^t|0*MsXs#}r| z9n9vm{H=n;rE7CCke067Z9qK*<98;Rmo6^03Tmwyz*KLzTafdDa;o5!5kg8>Sb8 zM=j-$sGL|i9v5b?Ow?6hzR@b!&SMyYeD(CHh`Y5UAbuvMp6K%er-_{rr*~$D!?VIz z%R97;^A63p*vMw+jc7EyA{RB>$kBuEf3EQHEzoV$%E9EM+oA*+p;$tB{(|dj*imQ75UVMFt_kx>G-xs#NDNt z)J0EN1f&+KBRk^|s$b)S*&2?EQk`+Qc5{M~YQRye%mgP1YUq!7L6fw6*h6AsY5bim zsPVUz#Qa>6rK98Tbm7tQcZQ(GU%#?$4`)W)Us?dHgtKGn`uIC1;(DRajW~Tqj;Hs9 zxpcsI^d+5)X+vDRF3Q!0+{YpVo~u-Xy^XHnuw3H8_|7=@3FBg)Fk`>M_%3R=Pec== zePU(G!i~=B0;vSuI!$ziiv$@Kdi9(xyh@PYLG?_^_`X;(hk))gk>Tp!*bXt5+8}i{m!EQQ;rwKm(VKJu&O%vn7Q-aJI>ba$v z;TgekXmhhyKXCD^FjC)z7#E()+Rc{k%F@%wYFv0BOWQ1cDN9!&?F%mpQYK~0V~ei{ z@;uyrx-?1)jR^OXmHb)|Dt$nW87&I@GDVB97PWQ2p3n}&O!aAk;m~R2(e99O?heMI z-C;OPRDy9%;M=en=k_)(wznC&&7Rx4sNwdGCPv$Pin74F{WK+v3%!D>XVqL=m}V*U z`c9<06D`O`{b2BSeHaj~&xqfw<5-|I5z9Y54^9HUWu*k;Mh#R)4N$;uhKzFojYkXk zt*FpS4d((DHOS+}WFi;v@-SCfFeC3ri74PaK^0Jq&o6lhg7l$43b;V9UcgP^DB*em zud3r*K+EebhJmA%U_TWR^ISJwXq;Q{syfaEw0yLH8>2!uCUOCb8WixRWFi-k7x9$E zXoo#ku+U+T6CUlbCkWO%Yq&kfOaFWxio6NVb|_n2s(M#C5yU6o!&i z{elJO5(QbFzG*OGW#xJ;0F-J_%{T;a4xH5zcpgMWi&wz)Ds?pK|!h` zZDXGe+Y}y_I{hTB;aAmhY@am|*QWrU^?5`IXrFki@v1t`w;C-UZGeqY!8d2pt;V7T z4RBL3feYF{(Ra5i3t}zmtmDF?g1I~LQn;m5&)1Pw!V`k(aB0%sAzYu+z8Nyk1u`yn zxTlq1w8K5)^rQBk9ku5OES$bkhXs`+~er;4kd8@~^%@r(Y1{bFn3UA)wR=@rC+QH#7m#s}cJ6^`x@C3q1wu zfqJ3+A$@_S57K8#4uJIOivuBj?BF110D2WP1DXlVf?f?B47~=@H>zesbD%?@xzM4| zJm@fJKJ;4XaOic=0_abmBcLPs;Ox=-TPnStP`{-02Iv^*jpf1eoA~!w=*`d~=q=E3 z&|9J7p|?RNK>BR-iO@Tslc0B&7nk3~zb8ZQhE9Rr1Dy)#bKIvv?}JW<-d|o){y_PR z@}HHLf<6eHS^iM@tn!D;XA}PjbWZuB<#Wp)E1y^Xc=`PDC(6sH?>C@pq3fXacaSw;k#*>U7wpch~srxxzk&2bn*B-m4s&L2M>83wpI}R?VLco&z0XG}qyw z;Cawt(0u5%(BaVQpasyMKu17FLPtS=3LOo-9$E;!0XhbHBQyxT2|5;fGqebL3v?Xx zR_J)>ZO{qO+o2PocR(jW?}QdZ?}AQ--VL1sy$3oKdM|Vu^gifx=>5=6>GcCEzbOb}6whLaU9wWLuXz{ud6faQGF6S30~3?KRL}LRXvf zRbp!$`1<`zPo@qn|i@$l*UbeAwYn(b(qLzYu!_`kB#ohyMzG)Ukgf_LyV; z?(lJk{{i<2$NrPplaBqI*beBwpr@c;Ku=rpOJdJJzk+s}^WVgth5iS6&YWKpdmj1? zw9A~|5_$WrzO<_Z6sS6o~!7u@Pc_gjgYK<%;HuX04UAao`rm zS{=55$3yKvb2 zXaIT@Gy|Gx=`3Qeh7N{a1M!{X8s9dq&4CVq=347eV)LNGjOIIht;53|z7E*}=ue;{ zpd+E9pg)C#9exe&HBR{r<7*vW z2X{U6O=tu3EodY3SC$Styx!p^xHmvILN`G-L*IsOfxZLX3Vj#44f-Cm8TxDJcIf-i z9njxEcS3&)-DRskaCkTP@9f*X#C~Yr7Ki@;zR$5A5xd_yKQ`X#@Shw$=hRwjKIZV>9X{^xKhS={vHz^J)P4ba8u}&l4D>5# zr=|bx@LBNxK+i$HhMqU~H^g>9zcqTn;qM&2=88b2w|d{QCS1T{nBpcbeVYJ;$T*`Gp3L$8MxLT`YMf!+uWLT`eOh29J;g5Clh2fYjg z=!4Li(1)P2pbuN?Y=<8Kp96gqIv4sFbRP6^=zQoC&@$+g&~oTg&;`&6XeIRL(1p;a zp^Ko;K&zn7LKj1ygNB^b=N(=G{sMF<^hIbj^d;yr=*!UM&|g4TKwp8bgsy7RDt5Kg zf7RhyhhKAe4H{o}Y@NezIK0;3bq?2~@l9xh(YG9Kbof^ehaFz;aFfFu(7qA63A)*w zZ#%rj;ddO~>hQa0+~(N#9By{_*Klul?E4Py0RN3+cRKuA@LkXkpu3^JgYI!Df9UW& zhyUnsYm@fz4?EoM@NtJbNb_H|_7t&SKu;U}lGroQub`dKf1CTP!~X$4=h&|uJ`etl zW4j#w*5M0qf9KeX#C{LG1pP1cvOQwhup#P(}e ziYdf;%|5gUMB1C__J=d|15jzk1ICQ=_pCGo(u}>0P z4t>h#0*5Ocu5|e44li{0X@?g%{EWj@4nOPgVuzo@){tYLCw7TrUm$j=V_zh;+OaPY zyUejK6T958zaVynV_zY5rDIn)Tm$|~=xU>{5?kxo*BoBs@au5bIra@=*E)8c!}Z{A zI<~>#w;XPS`&ZDg(e=bOId+4?8y(){@MdJ+cI+01-vQt1*msHD27M3OY|dXhydC^~ z=nkX5A$F%@f9vor@DCijo7mq$_Za;>v3ni+p~EfUe}L{Y`Vq1Fp?@@bz~PS_Zgu!i z4j***6Ne9>{m+g)?C_@!w>kV5WRE!ZGh*8v`&VL*I`(hG9&_y9i9PPve-L}ZvHv9Y zq+>rPw!^Xia`+VZ7tqs2za;hy^edyC4*whctYiN}>^aANP3(E-H%7aN{T6xw`kgs1 z68pVlFFE{Qhc7$)KV+{sR&y8}{=wmh!#_IowZs}9W@5goIBas*>~NgJ7Kg14+Z>J` z$9~7L4q}~-brI`!Y=Xmy4)=pQ$+5}Ara0C^tk<#q9Zm)JLDP&5Al45ZXf)m7LEr($ zUPWw%V>2Dj0>9d^gNePyu`03Ij?Hm+h{L%K4|O;Xjl;(AnUvaVi5+g<>l`jH_Xx+2 zba<4*KXrJt!`G8$A@l~LV~D*G8Z>$nv16e(LyMrdn0uVVw>muD;oFd%;Mm(8p6Ku$ z4o^b%PRAA#dzWJ;6MMH~rx1IOW2X{(uVbeXd!J*c6MMg7ONf2Iu`?Y08F(r5L8CK? zeF!?s=)(@r27kn{bBKM^v2%%i3_8!~29sZredmR2fvU?r- zA+arv{R6T4pdUf^L;q;*0}g-ea4Xz@a_m8eKLI}k{WJ8iIX`u{4g4?ABhb&F?dJZg z!$%$do5RN({=37+9sY;ICmjB#!zUg7+~E#~|K;#0hre+6w8LLIe8%Cg$aN?5-_Wzr z|Csxn!(Tgm9`0|TUC?i#7ogukFIxJ0hc7w&UxzO{{6B}UIIN)^pg%w(&>zk9U6dN% zY^qgSGy^sfYj$j$!xo3FaND5qP&?FNZYQxW$GRO(08fPWgC;?fp(&R1IP7(}zr(4> z`W&0)@BoMX4i7{&-LZp+4LJ5HVly0@No;+{{(!5V@DD@%CSEsb~N;QqlLuY03BoWMu&qA-vswq=*>op z9KHp79Q0P`c<61=3DDc26QOrNCt35I#1=#EYSE1RZu3rY_#TI+I(#o0r$O(7PB-WM z#FjYr0b*xBe+Dfz=Yzz~bnHXK&T{O-#Lk930-XbW)ZBB4eGEF!=;OrBhdyDn%;6^; zE_e7TWEVKL!r@AXf9~)?WS@5IB4VF$Y!$K3I(9L!&p9?k?DLLYLhK8UT}teWj;$v4 zCC4sv_+{|r&|er`LF_Bgl}1-NTm$|~$F3&!Rmav6`xmB>1 z!wukXK^vjJf`*~%p-qwKlG2#1JIA5teo5G;QwLo&BLL5|Nh}?X3Pw-k3IWNSqEb)l%a%5p;Z`T-?yTy zV{C_wgLZ^Z929T%xa10R#3Ob*g6c?L)``ox5M-e7;c1Cd(7&H=}u7J zjIk{kZpF|U!);hRSB$%1xC6%CiCOnx`d+BJV{9LW9vFIJF}yL(#Lx%E^Tn7SWd0Zn zfGiM;83I`-W($KX9Agm}MnXLbi?bio4`3LJSq@=59>z$3l89+ZkR@X*1u_=KQXykw zDKaoU6Y5z|4rAI8$g(k(16eM{jzV?}OK}3z^Prv&r2x}TLRN^eBFKs{c8ZMNl$?cn zIi{b(uma2D0<>Pl^eV_MLAea&3TC+q*)@z^$Kuvt{3eFAFsu$^^%&lQ`fVt8Fs%W@ zyBOZX@IDNC0HqO16B+(c_WTRT+M&E8!@sCI{~odrSj>-D=m69Qp$uW6zag6-!yky8 zhwoX;#Z47lV)WuK_hUsI> zfE%6FMi@7SRvN}kFf_%`3|h@GW`V`E#JCl-T4QV-hU+o3fmS-kY_Yf-F>Vj7n=s~p zp(BP)(7G98Td=s>puQc`T`+XT&<$F5K-tNSj^sYbJTSW_hF(x-U?KjH1z@&741+KX z#(Lxc42#9|ILHoS><~9;J_Re64Q*+dEgj1#8{;_`KY?KphGiI5!r14r7#A?Sh*_^; zSPR4Ipwwd_w=leog*?Ep1%|a^*2j=N!EEgqzJ>ZbETj|DKV#Sft-VnCp!7o-fHH{1 z8iH&X$`4E%!EhAApU^snrJls}DXfjN82^jm9E>p!WdYLwhKo>Nf&$;;na4rFLm@!n zfZ&j2Cd>yB%nz0kmlv!r#$>r#X{9E zRL4*QLroa21!WbK)ljsd=s?khq6bAEi)DZz6+=S|jW9HZF=!Yw!O#>#GiWvELFbJ% zrmutgdMGwf=um7is~v_LpuQ1`J(NvQ9H2O2Ax;=>hWZwaZN<f1239Woavu29@C z%MRF1cZ}`BN@v0lA1J<<%@0F=3gkeD#3&!F{Vi*gpaZnCoA%`%G$1nlIL>QKY zv1BZMI)>R8a$wjAD0x_TK4b+LJBeW-7N-=$3Jfn{cmu|(#$wb!b`xW@kkw(V9FvepjPq32PA$tks6_gGv{56Je zp#BzP?=bAdunSt>W9$QlA2Ixd;b$231@C}Nl<4w(eTBr%l2P#RiSLXp8VSq$ZP z(V8eis}fcd4ahX1XhB&8Wi=FSC^}Gdq3B_$^f5HRkcy!p3^T%*F=RB1nLuU=#SGKT zF|@#N4TfuBm?c*JI;`vsP~V7!*h97nV-8sOW{hvaV!6UFH%#9F*-nh@;w8-Qg_=7S z!y7UtX7|C+7ehY`{V@!{Fc8KI!dNgb`dk+Z^)QS@VAe%;{OM;S&)jt(7HfB%5YIp?d*;q-rnDr=z$1n>A<0ml8gYoh)R)FD2 z3=5&P2+OyGmo#4vwR4!g0}=&EXd7=IeLd9K z2R?SYFL=%ROoD)M1Xq`-lLCOg0m#sSU>gqy;L@Btb> z;z8l(#{=R8N}dB!!v+_T49}xXSg6fkWfPUZ$`;_`pdNOT!m4M2RAxvgr2%#^ER;=*>)>r%Z_=;0If*i9lCF z0E;e;uxyQCuiDunN<_zO@Q~z1u3>f|;Au98*A<~m0To2?JI)po8$`c_&>{^}werHq zPjf&fFJ&qf27}vWXm%_*5QhOZ0ksI=a2dmDRI-69tOk9!vIvyaqlpQvu+B=vjX9aT zfHGx+&_S{-B&i6`Q$h=X;g8W^P!rUTpt-{@E5v?MrnvBcr{y@QJ)hMH(h#(NsOhkO zxEYeZ|J^^U!OdA^x#n4AdGK}?>!wx{o`dTSfwPD3@jRX>=>SI;E+f(h!hmhmax7pQ zupA4lJG2}Nq$J6Pr;VN+0+oGj-A)V6v%qz7*SPzr*AVdO3+PS~s?G!iKO&AsLL>n- z<_V&c$yfnMS{yMGJmWDS;yFYF&-epwbK^EM*gVpJN;1W@rLow6gs@4R3gQCbw1^=( zrM)LX>tgs>mJ1UH7|BG*8W;~y$cR8&x=tEM-Y9&51OHGVs7a?;$BWlwf=R2&bpBRG zD(J$qQprf~8^E>5nVb}441+#|bCXMu(+otB`zNxwo<0DaRCVNcJvA4!SP@+5I7Se7 zDZ+n_LW+fB8kx3Kld6dWHK|cnl$j_5B-0t$%CL@rm5$Z%JRmP{9!nti^FZ&(n8jpU zu}7fAjm_%MrKW*Dh(W>W0zw)fBWyB7jkEwLw&F;2K5Wk5BIm0iLL3jvIrwbfFzd#b4K`LSd2cbfDE9<7vrc?C*VwotH2SA`S5_v<<5T1hF&82o$3Xa@ev$wXScDP(o*t46`M$B z_rrXs>;P+P|9B}-6RQf7tH9*(Mm+zS9L{(TTW?V5P4e%FT^9$=#^De41g;ALXM^y; zs?d`{FUpC2B$z`4I;T0}G=yaY1Q105%HydeP?#*s`jCzF#&>a@{QhZB6YYv9rch(R z^4N$G06I44ECaoPFUR?y(*>u3(W(x309)_nV!^t&V(lY6u>whoAwu8D&ak~(FB zV?+TL0-=r{54Tb1j|lGQL<)Yl_d=$vSvFuubmA%EWCEb<6({hQvFboJZh3Nnlzen@ zbqqsS$udfvRlWuCaGqsmXf^s~lWjPkYVmN=5)rhz0G+wi*b*E-XD%a76$h4!^kRdr zu)yednHPW;tTHz*^aMdbYith#KR7aLACuD|HC=I;l|HUwBGY)%C>t!rYz z^0a2e0;B(Gju(45Z`gL!-B(6|Wp`g00G8eT*+T#yj}99;vFR=KvEigipfs*FYCq)E z2b{YRNwZAjEO0fmo+ykk_~1Ha)$!n~QsEAQwqA`53Y&;@Vi`jK?s2U8Ox$ZWuunT1 zhL7s;2J8IK`r`xW*p#57Hqhg}Yy)&yptUfm4=8mb+-XF3Zdq<{SvpwWQ7Zeu@{Zy< z36^)1Bq5-a!O|ci93n_sD2lvD-wqbc+YJ-#$ngm0c!eNgi3@nik@6UY{6&ef>wzp&g%kL7A&V# z0{JTr>P{#p-9*X-!Q;iMbOwtX?p7~X=1CyVd4NC{Lx4E!I`6r>fv772s0&105kOra=Kc1Dr}drfPT~dy=m3zQODPbCgv>P$ z3TBp;IBeotc-*}?r)<#-$AZYUKuJq8hbQ543(AJg3qS(?9dt^XdN806RfCjG`WE0R zw|PNX@8%*r_nuosM|C-8B7F)_(ufu?3jhk>ALNEl3;qC|GU$u}XhgIIFdwlMl(ZHF zSe70EjRzkqJbeFozChTf;c(AYnpK;$A9orB&O@$!;V&5QbRon^nOdru0WJv6hEYJa z0KjcgB0HDS1G+4(rZPh6BtdoR89N4eED1PSlS_;oUP!v65!wzH7eJ#?sr8bAf`HmL zhj6%dxBv=)Mx|uTjsuRH3bOYIr2rnf)CxGF1UyjVa74NBYA0ck4GiMAfmG~+3kOh* z3*VFrIL$LloGy4wjn6GSLY?tOKxR@6{HW)G#{*8PsL^XD*pJ9Pl#SDiFWZVMO*ozg&z(h0=y41^@ZtOAUnI;0v4I#`GNSC9xvTKED` zwC(k;TRcMts2L`Z1SCmD7Eu9Bj?}xlxX@?-c9VplU`I9_N>>*SiADvK^qFx^mns6j zWTQu%wfTTkK*Hb8=SaW<18iOw9SiDWBVV#%hZAuyUKczl!jBfX!*aUBkocTq*?>Cz z4#`ZO$_DUTH5?~RTnJR>Q99}H1O#^w68>+taXzSFx8T1YgKa-!*E?7+aK;83%HDk5 z0l?uwxO!*n#sH|LWT2e|I|}-KE(Qs3b8}oI5tj)Wd@sT5s42E_`JHsbQ{X}I)wc~t?+B#WQ8fhqxp5Um1+tOP%t8#Pu`i6K}G@_B^O zKgb6NG+qIQ=L{cQadUh|XW?-7`qcHo@e>2+_(?s)*#OO|?@dra!1DM}sbG2hC~07M z{3z*QdHm4P!Nw0x$mQ`P#2B1x7HJ0Sc%|>qoj{gqwk9 zHm;xBV`v)iU!W2jttNv3(UvM+iH`g95|!A6^m>5)@fuR2RdhDc%7@Fyw-N!9;f%gk zWc(-4N>yU_gsqDLXQS}3J^t$gz}WyrxXaZL!F4zix6o~CX6fq5-tV_YK@G9ns%GjI z0(1&+Hod;}3xEYjr?+a~ERl%M0*1`aFl&F_ncBfn|B)I*tpTS3YJUlEVt@y`7 zDr8B(KN~Y{`I=Mv|nE?dpI`w@{zx zkmM+uk02-Qi6)w}X4GiVID9xd>w)*S#{F||!-~gt2Wol+dO|}Zr@|{E6{Q&QO)*sYLW6XmJ#O zsN2E(4Z2P-e*=zXFZ&xXmA&k506JmO`HH$7%-;ax{F*fAZ;k`0GR}WZHVHV{^0Gk= z>_MO3R5Cn11?^9M8ZQQdvw8Y6JpE>1C!{1%iLb0cPzc+$CLhiyN;*2->JiWz)IU*! z1_ftV5imz{b1 zbO&74|KD=UQe|+I5w8E|qVDhhAB#FA3C{2&?vx}&Iy{|Hh=>S0GtyxL|GA-3>$C4R z$h?{gm!383;3P7f68{{VJ$5PUso=Q!fB>6&w8vweH#qB!_a~yKT)yuqNqqe%8BR%Z zfXecjgxK;G<_x`rhy>gV;GHAEJvJPWCYR5`z^TtT6_%9=s!|2m%GbHzLc7U@WDHT* za65)&^C#2)IX)$A1N?O5yIev#M9{sUeEpn|@=d@cq;e8wSt=GI|!q zPQt6P`at0O3F{-m#XaD( z^$$c+EPPlaiXoKgDKd~F)p)rgj5a_-c(7Q2G6Q41hX=db3j~rX!ifgcPINN^RfjS#E|Eb?2pgB*jAq0f$ikvmB>J+AQH&zgj%u;Ch9E*q8w>w+f|X?0*J z@fe+fv~U9#cuhw~n&8nordBe7SmOncd}#H>i2t3c_akuutu8?8D@WRz3m8w)%Kmpg zTp+KEMO1|if(k2#FCVh`=!y%??KH6=+!?kkIZuFinQNK?2Ek=uDtxz+Xj> zvSp)gus@YT9BQI)gX>_o0{j^S7RX`&*BbgP9_V!Q=1_egG3ch`PZMhBpcAjtoyDg5 zKw{9{upFnJh$Qi*fd=1M{Mzn@$KW0M(f)lP7#yToiyqB+K0$?KwgTWmb4uki?MT91ghRFq5#?djvlEX2? zlJ6r;V9CS9dy$rL_?&`{79$bVA}hsOa5aAL{A2n+j1Hfh&LGR32T%A`PI;*1#{aN5 z))3wBprKQYz?)tG&%LmtIBeA@VBARX#UYutST`xdf7}KrF8kqQ*mne!!+(OW4F54L zD2HI$Lh%7)c=j7apV69-a^wucvjJqkp!g8EDK5YbSB^Bn=&(@!CQd(*8-%lzaW{~1 z9ITksGYS)0%5i59WjxGTY=dGM{|4bQAiRNAyOfy42J6!PaZOeVw3ekrHXSH))gtJ( z8h~I+M9@fO^B~{G*=Wh}WsmlytZlcZR1;9`!uI1SdB> z->5apn*j>omd)YD!95o~TN!j4_kk_kW={;cb=p7y5iay}I}&uBY;_L1g$UM-n@!rz zYAt~3?yA1Jp{t`<9CZ7Kal%P(BTs-kwVJW0&_7N_;WDiSt|m6@?ppZl0PBl>bpW?5 z_|?H5__XDVFdlPz3V8xiW`^exroDUDSVPimac2txq((UXBmpd+auOUJG8_wjTmCZ6G?*qlO@>F7Spdgs>7RT$V2mc1 zA^8j<%kYMimITVID6=sL+|7yb zKC>Trm=3Dal#}2dECJZ0{v|4jWDRF{+R~kTMkKs{rkrFG>Lq}X&~Y*+oh$^XCbM{s z1UDYkz!z?0dKJl_H>7J(HVa(B~4?a%4E>el)sm z7631V>f43m2mk?`vfdclfh|Zq_Wk9%iVDxO}3f zGhiP|lCdn|B2tDg9r7r{Ld6jJpZNL(3kv)W)d2+?6gHq>g~ApHpb>AT(1=jB0Bfg> z>&+CxJVA&*BarE>;0dA>8gXXu|I2Z3@ETUvC6XBtsT&TWJwtrGJwtVY4#P9TH&oXb z_($n7{FsbD5E>m7sT;?P0HL9g+NM+^V_@V%rBV%O3}9-cZ=%aEq5%Uh6G$Rp5lk#@ zD1dQ&LZd^xfoGI|XozlP1Yqa}`h@64`GE+gr?*Z-Bm$TRJcGl6n2|s?I6BDNKSme$ zMl&O$mLmuGd%;Km(bLn@*E7%qR6RpIBRyk1K+`kPGu7AA2m1O3`c!>GePE<-tWVQ7 z(FdjmdItIi1_pp?U}#`uU~B+r1||lkR6Q!try9UY8&ZK0)tE}7noxnMp`M|>p@AWw z8X6iJ85$b`nxToIsga%$&^IzLq8b?*0V5-0Bbt$k5im8@GuAgYFa}g(Lt`UjV`D%w zHZeA(>Cu2b&45Ow8Pb3e&6q}`nb3f#iJpnRiGc}R&W0vNCdMX!W@2JuYN}@n^i5%P zObtzekts}VYGMjZJ)@$S!C_HAAu3b>c7i|fW-55aD#S5CM5t#Z9G@rvdr-m0(?19> zz0DL9Jwq74FEnCbSX6`#@Q>UV5*-wzp}DX{8c7O;OBenY5)=>^72z4S&nE(S1~d10 zdV5CzGlgXni1^0@A{6{1(Ql*wNt*=I!509Lg+*aFo470Px-lFgx1!;7O%Aufyf*J}tP;iF;mS+GgyAd`+0lEkH!%I+r zTWCnsMmS3VGng3?bpam;lf+Q)|(VH+I;g0?X+BZy;e zV}?60Lx69TpG!z!NGRAJV#9=;>JP9qE+I^CAdJa?8PP$A_x}u9=jjbxJtO=>qHLG| zO@Sr=OlV#g8X5$aqk0Abv}8~3^?txJ;y;tSMERJYw*Ri7r}ySCbV2-Qa(W1e4*t*N z^bkg=1_?&F~Bgg5JObI5Q)ogQCpLKy=7{I8`(>frkQ|XPzMnz=IwU;h_-Yxeyf1 z{I3y-f};W75khf6TmlZ877BME@C#Fq2^6^HAV{I0j)EZstkC)Qit~uj0+O_pxPTm8O2icSxqy^m3Z_H4 zfL#B-p>a9ddqtQL%mlx%!vINHK%jYn8wDX0&{oZlZ-+0hV*gui;y=p2AOGt;FcE<} zc}F1VLDK7^1Bz@LKD+Y~mb$B!j{H?#x}oZsC!6NO@BhPk3-g1UEzrj`&Ac!VoaZ~o z{NNGq?*2pHTvKgjdg2F z0key9L8~+EwKUGnX1;Cz@m7{#Z|ZI^4G{szEUxJoJbA2i{k5@zfi^B z3I)A=+br{}8ke^($$T{6N6m*bnO*LVL}!K%7uQa~$Lf1mKEEOz{@_}=_NB%TnI9hB zZDHLwd*s(#pV!y1l&9yEPA8dFIt+A1_0*Lw*?Cc}88Y>bpJ~+S`&sDhpT0^^A^(lV z)8sYhrZ-ddrd9Nc+g~y)XV;MfpKE{fPwy_XQgOSTx*=X{)4Gq5cQ$CQTeCs(v@+tA zIB@l(lJtT4@p5HO#e*1wjwGuCveDHd3Vyu8xRnii_h|b$I5~?vU42X@bIVDZ=J(me z&u7MYhr`CVo!)W5@^hHOE$(|@1JSxoBjV;>6>T2L`HR2(wKb#b!o?mOI+{PK^ZVfC zMv~3(O)CJ9x$-mjaoU~Thu)Od7jIJx_}TYa6)b4-oLhODXI1WTzm)thx`B)8Ym$t9 z;3wrB&X0~ZwS3Dxo%6(nc>^d zMUvMx@fqljX6Uy5s4$vND@oaUef2ZF^sDol8;ZIQE4j7cZ@0@g%I9l~>h(Nxsu^g& zrR7WWWWKzTAXoohcl*h4>hUvHw|u-6298O%yr>^i*PE>>Rk7FOE7jO}sG8&Eu82`?VB8-&HbC``F)Vj(;}wn1I;G;?39Dyh)9 zxY-P35398*_toy4w)`T}qps60%2KsG*BZRWKjxKm;d%R?r#yY`UOZmy{eC;*W!JsB z{?Z2}<2^}XKOJa_M~shDCKU}SKJqX)w2iN4JlSoSY;^zl(ZQ@|><8PvetYbeaC2WH z{q6oYj8naT+`n`@w&v5g4ZnpC`+P9Y{gV8=WJ%ztoakH(pX*P?r`^XcF@K3n#Bq<2 ze^>~N$n5zo-fHh~-SEoY`zF!(f1;g^aR+&;^i(EkHXmLJe(#$b`!`GK*0p4s81=Z5 zWzyXm;?l*na(in>4+f8}t(|C7N;*a;ekT^AyzfiCev~km=;J+l>t&v3t?DvL)P3|J zWlB*}baUzafmN^W9^uU@a%Md33XzeXIZFLzJSToGI%$80cAIB6!D~{oG4thb$&k%^ z%2ez4?Q0@<-Q=#H{pLSQbH7^2xuTb|a4~LW;^BE=wQGt}xB>avhon7LE6q(BW2%@v->GyVo*Ryc8!Xw^!e>Gx9w@?knZQETm#XC*CtNoO?6WKRGPFq8E}5*9 za`v$KUDFCjf%1jR$rLjo3C$?Z9iM#osSz@ab+v5y=cd6e*KW)Z8s+e%SX5`p0>?4eYl3V zKj1~$JHl*U$D_12Cg?+*=R>yhC9yiCKfC+(ey`xq`4uaY zTv2jLSS5}>|FN%HTi`AM?||C!)UiLahMKRlad>jbA_D+oVnSk$L3l0o{NehhmA-&B=Bz8V7%T=$PJ-t`c$j$;v9R*A*@g zx?O*i*t&jl_LopPaYKv{b%;mdkWrqRz(KOP$v%cl_}1>7GfX)Ujde{;7d z)Lvh(``eNT-g5gXYyB$TB<(1ts_bymz+%ogG&8DcFmV3qvDVoAmT`?8Pu`D@WPEX* zm6H}c5IwO)wSz-xZyf!0{>N<3%GfWs?|pw>>`ZzVgSbhB^>h}j$)UWu<~;grM{uXi z8MX4rnenT{4_j6B-YMDgd7Lslxns}UUHY#_=C*WD>T&pZMWt%ItVDz4u=e9If{k*% z@P&&DJM_!nEL@Gtcys4NpofyP{0G4~8Fj%|QS$ddhOy|AUB|dmkCnVw645np{h;C} zd!i)faC(u$8Zq_1iS^-A;uq_*qX+NI&c!&KxG(%1iHM1n#E%R$FUGI7`(Cr56dDle9nAhX$p&VIW+uMvZN_r8JZI; zq!k}|U0!4_zA4MFy-xGngYU0iZuwg?)b?zi-54(^^yHIp)T>$BO%(-yZe}SOO!aA1 zg(#a94j5cy1zh_0K)S|rb=0AOno|c0`@(Z0X3b9y7H_9a=5;Wi?_T#@d*_PK-8Fab zeT&m;W&}jU+?+n^*&lA*d2g$Tv&EBN>x2UYp5u1CYYB~X?1=awMq@9tJ|E1fk@{ax$t5)Z=w+dEj$JreVGdGueZq&a)W?@EYZHvbA7v1Pc z+G&aL<`t>iPK!%j3gqrmY3Uwi*?rhsu_07*>#?J}MIySVjP`zxS5xpvZ+dWln477c z!}oS^PXw<*PfOZ2soRFxe-CUszw)oIUw^61QD;#R72W`DWm$1-#u-PR3S7yKk<>(k2HeTfSR8% zCw=YkQm0}!UO40_SmaBsF)gTHCD?fm5x&Cw?Bx1}N9(FLO;F^>GrXUqbVO13HI0-9 zlUxP%!fjR)k0b>ZtmWSHn1!rM8!_mrka7%`*n65!P`1U{Ppd_VpZkM)SIUxd`WL5O z(ZMY%Yi`e*&&^9F20gnm#8H1E-~7%j+sE4J{f?ZT(iTgP(m~6OQnj~cZH94Ut>gS6 zB|VJ00eZ8uqK7P$^DnQ$m3}TvPSgr;SEurGeSN5Xv?ch1wdCU0TkAWi-fR5hKKy)Y z!W}85b0JiIuAJ+jj@o{AsRr|)aop%^vy0e)@X*MsvF(X#4IHy1vxailY7Tl|wwy_9 z&3*TCL(_cl!R7?fH#=5UCJx(6k361r*s*$B9y=(ny@GwcnM&B}7{jf1{qWHTxJ^0z zZSJHIYf0_ziw8_ViNeQzDWL_oQNOYGhYU9*1UBjIU3=BG)gVXq>z{aG7Jh-B7&ipk zH1${Sj>-4DJe5b2xV@L8uBxvoceSfg!7g3pFz+NhpDIUvq&9@6X^;1u?n|`67gz}|8 zadT{Z%B`Qn3p+RM?dV< zfNJ4W=aSb1$+ zZZ?JypmoWkHvW27|M}~~tG|@TbX+9Pa!J;n)p&baO<>_ef5XW&YAaKo8h@l*lZc&7 zAd0JL@Tou5z4IgC#agk5Z6_SPY>pLOX?(+7W`A+mRyT6tg+`o!zVp;jb+ql_vcr|b z7db*Q7e$k*t|#wXogZPZ%6Rr_ob~+`d#`}AS`LG!YazfR`ox>FAY%N{EYSC%R12%UuVk0_2s_kGnY564@LgHhxlK= za`-<>D+YO(mYNvEN4_A(9Nz|1uym`uVlQjSFq{=jJyyRA# z?wK_m=fw%xeJb-C1tU+H=SuhO@3PBhN8*+rUS8ff z)t6D7{VtvFg`C4HegS#^Hw|8skLUNzo-$u`(P-=XVtl&Qx25WXFCt4WFP2Y;X_#rI zPE2xrewflP?BDWSZE6Rf?Z9vmYyJD6AjhPX+;^LcvNt&2KNCU_TVeE8<8t}c{*3%l zJ@$?6j3c;}541(RUi4Z%e0!p3<6nW@M;!8|y}0Biu7;f`bvvvhTfcgjJ>BkxXVs<2 zt?BPX{;ZN0U>S3}TwrI4I z>poaYKUq6{mlG|LkrYc#l#f_J)jOvix=$`-$Me+7@q%FCK%wJbi*2;?dFroHJ_vj3 zP(4#7N>8b@KT9B;-aUVRG0^(PJzvx9P2t@EH;cqBd5cbsFS0d!h&N6fUf7ZKHfWRY zDf|j;oibuOcrYjNZ7=s+RQ^`RS4+m}kgg(aGGE~Ble+hxPaFui;YD{;%qykx+=&nI z3j8Kh^ZTQp`1oypz5bQd#gw*vInL&a3Lll~?Us_SJX_5uv3K#@?6@;Bx$|LLZBO9o zJJR1H$eI`IZ~ovO{B`i})%zmVS1+2W7dUBOy-*=4@#ZRH8b;tg@9`KO`}KLO5+i z;N6(Yskz07m`^{5P6?SSq$j`JE1e~;;`fM zqqF(V*4nUVKSjA0R8}t}ob0FwagO$@>h%z)gDBVwR-W2L|j9+s;ayMN!E8`1()1K_pPEID*6yU#(*qttr9>zYqwdczH zZkMK=Hb;Kg@OZ1vuF#iVOLqKSt+}T~(e&w;gJ;DOdbuYr?)!XYs7$Uht(*;H4fJMO z&!tzX9s%WnLBaK0cX@>p?zkM1l;v@`tk@+8;50;*^0;EZCU+V^6nGn>wo7= zeblgR5Ir@jQs_6#cgU&_#|cw1^t8{Ar0&bOJ0}!)6i=+1?TviaG9CIjAiPh$NdLgjGF|V&KD)uDaOb0qm|+w1w!%&iUS`)Qwv?2MS>mc{&yqymc}QoGFadm&$EG#tk) z?-*tUtER6tH|aOg`VrK6yluyW2ghPp)tw!FlqgrGH*=jkZ=j9u-owS_Z>^6fcAv`n z8UOrAt&YXVQ-g230we7vH+_A4c&b5NE!fGlr=;$D>jhE&mB)n_~R8F`aSj^ zCT19Rf+f#orM|u5%fIl!bk1k`i|2f(doh0SsODAq z27{qpH92W&&+G#$_UsqeE3-rQRw9z zs~0!d-q^b7v*U|KjVklFgVH6NdxcJYAGtI9df@XX+wTv)gk3v48gq2=*WeDBdr4oV z*jVSjs-i+?@vtQGEZ zk8+^2IvkS6nU)%aE6r~_ux{mkzbmr}@tZEb6dio+a6|BI{zBM*`O@mQ{Z68VsamS^ zf)nWq+aG-M<#@jR!_{F>R9t^s<#V9K*Cq}!s(9R|Wd5@MJwtvm-l0Ed9(K~Cg4G=6 zhYk83E)@XcHfA9IC{x_;V7h8&bfU+81^kdU-?rG&X!#-uB7#s40(Cg4|nKFe73!)~kPibup#&zf3hEmMO67e#|JF3Rqg zo|Yin?+;iEU7_|z{z-g9NZ77JVwvlc-%4A2fBlD9YN4xgGJG!J>e_J2?XQKJUmDdd z>?)dwJ}rHE$24D`<9O{;F~1YE_OvB}xW>bw&K(j)f&O3oVIEe~frt4xGH$T8O0daJQ&oa*1$YJ^vobaMy3dfHj|fijCS0U!D7{a7<)8$bHj~)7z?7MN@X?R}VXWIcR-W zcwYD2IhQkzZuwjI=r@lWKS({Yj$dTZJiG6Z9Ir_dUi^;aWb3r3ak1YgmST5qO}(C0 zV`PTj{V9{d%n#DuKfVHiL!$|&9@idITSr>^QuC^p6Vs>oYxx#l&4QUC!e`MbV(8rY zyU+FanqNHbzA7;$Pn)r=NZ!m7& z(vYrl>84tj%a~Eqy6-)QEM6A3S2i8iXw)%(*i*AvRaLVdlZ8cYN13Y;hIZSHcG1)VO9Jj(1^utgwD_G;W||b%Cn{OSiI`IHt54`L z?zbVGi28fJ{$s~>TQ0icw_!E3P}smfXI&fugJfr46gd?#CJ}Ry_Xf z!%Tj5vL4!%3C!hx;Ou#!9d6pC~#UH+6Blh*;cfPuY%ZcUR#ZUrR@s9r%=O8-TNVS2xp_@Ql24D=$p;$UXb@nKB2o z4MwikuaEsaXW;nxP;A1dX$P^!6@}rC6#I!smC_t*%(B0)Km4bF;LswgJQFlAcn!aC zVD*)!nlhT!oONV*6BV(J6iTvCbJ6<%&#L3ayBl6r;7#0+@8WBn`cm_R3;+IUYrXAN z*U_?4AbVJT)6}P1weI}=13x5En!Oaf_FA2mqCIwf(c<;2>%gv0PyPsY(pFFGDE+K} zH&+r-b{76L1oLVsqM!ek%Q4$ZbCK&}dy&+6+a{ zc^%<=?WX}pCHp0-QL~6mTklP~wDp&rXieO7Y3#(VjpCP56yEVpUl&eIKQVajmZC~= zK&73o4&j^ouNfJp{CN}Zp}x|a$_f&zxOKX=99js~WM{tWKRnO3BarF2g*RM-8Fwp7@`h^|a4lwa>9H|Y^ypOEz}7C*HIxp?}; zZrQCn6&FwDHhW&4KjK>PNvlpsDY4Yd$oyd4F5f&8@{Z1Jsoc9R-4ft$RiAsF$B;9{ zCpB7!ub9~7R3SBU;YgKhFu!cngG3*T$Soi4zPc&cGRd|br%$ZbR4b5}AMmUe%e$Ij zAD=d|`0M&B#Sd$EHkhlqI9M+7onLdDDH~wsPN}8 z?=!z!VKurOV|CWMSABDum-$D$R&SZ;6c}i{wSgXOfkzatU)$YZnsGzxvW}#lhJlW} z(D1F|C0&YwvFa+VOXuz_)diC_$>CG_*Ztx9a%iH>EaLa8q9tO;`w{g9`!CYZKD{~Z z9O7%gEsy%UcFPXu%gI-~4)2neekVC5=tP z_6L3|`RNi6*-sB%(3}({J>9$yY0j(i9?#4ll{ai-2JPGUsJLv0!MP%(VPcR0IrJ`X zS32pUH#c?rl76Ls-$d{U!H19U?(03)epRXWwmD5#wN!ZVwO2u_**)sb^64)(a!tM* z-hpfNe5RqSDIg)Ou4CGDBC4#qHa?uLe3PWhXGAv{RozZfSP0;L)Ai?i5TjGlQ1HeN z+!eL&g0f^X>7mu^_xooJ^5gze20u9rR%{fy2PAc(>W6M@5ojU$PVCrSviFYgF z_%2(1IM!31-e~!AJ9nG+d*4!^K^hWv%@)Ui49W@YQ!YcG=D2nURbf2nHhafnk~yWX!O?(Oek-DFqGZfgVM zhxvu74L*~-DmdRu7eTo7z?F%gJod*M+^dt;sp^qkgtsYerv4x>xjwy8J6cFi_759A zpBPbgiZ@dLRIxIXI(LO=93=&WOkN}SZJ()(2+pRBIWPI6AJCaCW_ zb5cM^;qq)%_7Ssh&DFP^we)v8ZMXEDAq4L}&bK{Vz-UdzRk1L;Qu}B^OZ$xvRK=)o zBg}KUUlsHISn59dL^@rrx-Dh*`AQDssAKBQbAibwdygtU&re=#dd{m|z*n&$Dvsay zN6ens<7XCM*oQUUAUEziT8S&TfwJBA3P-- zJhzPZ&_;%}6L+d7dVd@CZxqKb65B13hPQ0d$TqbR%O{2j4_&KPQ$5OUcgmKxwB$K& zMDEu!DQW~el_j&$l9TqDp(Q%rV*#~2<vnc-_XIUd)ZZ9Fokl;mW!lz)5ky2k=xERAIR z=zH@&mJ8K6rSOHd#wwiV^|Jnw?3yja+k4dGy5&RTeVlc?Yk%<9g`KYfKL@)<{50+T zNST&BiY-cGeOrVLZy5Jass;4Zg++Hw5Og^UTgnGlA-}02nS3-J z#TP3(ee|VXQl$*poVk5-EP9Q~vxJ}9Eqcbni_L?Szg&otahw?=ns2z3m1uM{jTybL zYUcHg%?&4X&KS_YzBmbgNAhNzc63v~A~|wr$(CZL1QMwr$(Cv(mP0RNCx%d-QkQM}5@KZv zn$>NjAzgLJo;0L!D|_S?;*mA}tuxiHPk|$&R%{@Mxg4ys*EBj#7I%F0nB;i+1z~f4 zt}e!ufED)BiHzPmffKg`6lr#k$^`%E zA;%uPIaQCN(XT(PmpYjki4BLs2=NDMN=xF`s&tmE=5(OV7Ezji+^xf3A^;7MaUI#s zTq&oKSj&u&U*)5@EH0^NB%t+nRr>Rs{=g(LPynF zU%-U@A`~1YdI{^EbATg#3!nQQLBCUN#D2BXYtqhJXEQSIIii&I6|k;7d`v`#>nRml+JW*K~Z5*ENbM?rqdQFK8_`4`1Ba= zwe+5%6_XGmZgawjJ25bV;oWox!6?L`y+Q40d#OFI3PxMc4Ho$*PIsrpyoRvm`5A<9 zu)cVMOla_|lumJSFa}GQ{NCaNC)~rpx6N-U4yazg$h~%%8LMm49bA$mF=yHF*xnU)px1mtv z%-DxE!b{KC5e|wU*Xm-aX%EM94OHf8oKK#}IbZtD~y`7aeYK*G9 zGU(<>$IGc?q>v$9kE;>onB~!5=+=51cYkk&UGPSrgz=Hbb60;2RU9B;TNvA%Jxjol zzI%7yU)-9*<{LPX?J>2;eG&}PK5(Jd!9>F**#xZlJ0e%a{l)7sZSA(p&@I4b7hC93 z@{gv#5CTV(yhS5%@VhSARf{t1${W1D(>mhWacSQkh2X_0<{Dg{ss77KVizm3enTXI zhc<=MH<8nx28sM5;$Jel-Bv!&QI#XEnnFj zrLe_7alssDXb_&QlQ3F-uTv3RCf|}iX~td49&6h@F2LBCxA+7BEBY-*zD;;&v{}1&+%ZrZ!R89kB7Z5S zAar7E>ZO{7{TFRA>a4XF#8bP_Gbq$3Hyoi2ZD}X`c8}{r&4ztG`#h5Z4j(s<*-b$f z|N7C`&19?1P5>}S?38>sJ4-;vVX=y@Ow-X$lWWYZCq2-SIbTT?WqA<87w0t-``JYv zbz^p&nJAHI-=8>XH>fFAs5~>l8C(GBwtdsbr_h`^z~Eu2^(!HkgpN#?1oJl)I6bU_ z?3MxUQ`Z7q(VOD&h{Pz>>$9qjC&*CB-f1Tjj#G3le(5SmMlz=)OPf?BrcCc=BDVKj zC0t7t_xe%(I|!v&Hc&1(2=nnDt%Aov#G+*p(tH-gqpYeybHrIbf2^ysAx(K;u$O*N z%4^KTf=y~G`D!4klCJme(^pp6|7 zt3VIqQxFp5Q$^SFzT3Pa=PNnz@vq<_)#DAdt%y>&C|?zXyCy9d1*l6N=$-TEb7M;K zaDvcWa!UA2R^0kUtA9j)xG1BCs*A zvD2f%pyr%Yhss&9Kds$OmV*6#e}yVyu4nX|x8(G|^zj8|&b2Xo+rwrh5((*y%&bS7%?EMtqIYG_Qf)J(t~xZX#xk(5Od{mpwN9M zvNTP9ieoKl!-@A{2CBHCD|$JNN=*t3?wf+e z;izb#EYl6#dG(oDr<1U+`+Kd)2*qnUK~(ZOPypLy6u2T7SRlDxLxe% zmtmdDXr!3{dNG>R^MBDeGT7d~!Fr6j$^Kd?V?Q^lpz|Fi(tS%#)0p_I8ROzdF}n&W zS+fw%<3qKRz2hDK!ql$Sv=?e90P%aL!x9Vn&rD#0bve$eE$Vjv@)?fkhPc?42-@ z=XgIt-OQ%^JHikX3&$BYHtK$Lf#58=HV$SUz592!M4mgm2$OaD@pL&?bx zKd-F|ibVPdnYzfm7Nh}G-NVf5&611^jQ;JXb`&tp>DrN%s9rV=%y#i%~5%C~r!A7sALQ0D` z*~QN3Le>l(ba*%Ws}MyRMxY8aU@0dJO^wLwpxVOk0|T_u{EPH21(SUd7g+ugE8^3m zHA{)@U*K2s){o&Nzl9~=ybOC4!6Tx~h;*7;E)HIj_5qPC z8&)+|Pp!1P=ZW@b{zhP~%&J^fG_@2YTeOuN?8FogDtHWE-IE`&bhzi_K1c9z(Q`JL znwI*b;Q#xL_5xYn_dM!Y6*5_}!YO_nX%~LJ$Hd>J;q5@F1utrik{SR1%tQR=t03UE zcPsb4=;A|-=7P!3)A!!7UqPP?B#Dr=tAU0#1RrHPQJ3ULwzs{XzIuS8{+C}xO3TSL zt0Sty5pvaEXga?Sz>t}{G)DUB4rXI^#+qkZM8R0_3?}}8bY0=Ky^jEva#=>aIZy^i zWi*>Q$Ge`YmmqkajsgDI=KzbwZR*nP18Lo>x|Ef9;tl~K2T$0(_Z3q-w=U+#_Lv?d zGm@b{-XtB){o_F(E{&UNq^3+xN(?@4fg8B}&t_ZpGd7tycf^5o=Ie*BRmU$(lo#;S zE|xve6%krAIpR492U%2AaE!u;<3AoR0jgvWkBGq*nvDw-PV6}md4$Y(SR7+J{OOTY z3zI;9Wy)B}7L>nHhZo@}##|_dtj*t7ox7X7edGVk{g|lhY06c+LF}0Z|0%1Obw&dL zCUiU2Hzt3R*m&*|5vD8{3Eay}v*S}##~f@r_ap{-?AS|`Q>iR~j^K7hFg)m+b8AT2 z`=cu*L_aTPKoJWpXZ|=z1>Q3u`(rsW{nZ$apCIH#_X4kZ0DPNx76F`T6PEMpyF^Pg zN2Hf~nBod6dWC4&cn)@S*IXPX>{Ud)WqwKTGhh6wo~6HJ=_;V{b}f^_{Zgd7LYQty(%B$h>ab7z3V&Yz^ZkBIPi+27BTMH zOSDLGtLWJVPX+lztj|f{>)2VmKQl)%ibz3MZVBd)&~dvclayE;caMo0x}Wttqb=2r zdoQw3Zodtz4iYK`Ej4y~@@*`_K8NjR&i%+dCQW0;p&VF>N+1lNzo$?V-9PT9fR>$h zUTgRzJ#|Bp-OV)xeIn+poEMkW7LmQYs3qgI$x_wqQNi?G3R3zkmDQSh?!c2wP z>^xgL=-}=uL{R6l#$C-s_Bz+?@jIGgN_BYH$hi$W_m-fPR1hhE!EFp?B4B$A@p#q4kgl4p! z5FqOvKrE^q1eu!Vy6|($cAszuJ~gf($`t`p<#!d%!OpLF#A$)fY-&STv=H1;$FgES=lg?C8+J38dZIZ+_ug3BIftzULIS^{Ee{3id_nWvfN0-=S|0b~;A3)j9TZ%RK> zo>IU&lT*=-#FD|EA;{)zqAMR5O90&ZV7`^X7S&Um+ovL=+FhPq2XOcGpFtfx{v~2WfFSV!%#LQ0P%mikj8_aS-jiV-_KN~7eOQ6Z=ajf|F2L0= zd5~5RC%!bmd1r(tG{LRSx#}Q_^wr%xg}v%C3kQJkFG)x_t0X}~Cmgm8`A(+vgtu=h zq^d0`g2&!_xEdUQ&4uy?%X-h?d=S}`}A~(4TWHUx%#1C zQpD&_6BvgdEdQ>QW4NfLv#QIQIBMcbSV-1GK0(T{0+@mdhXz z?~;(Z9J!QX2EgGMp4s8;8WFF^#X>Z^(u%fd-KTKU6|bQqz^ny~F$4e`gsli#&$qvb zWyjFFhvi_;11H+3FxgDS=oB`d^OFzwZ9%HV*6S1;e0sh{#4IS&490~e8ntRO4h2?! zKdpoY_K9fqT`{-iIY%1mIZa3pKNdDQTJ|7vBgY=w zL*F<9eW+vXvQn(?)X*UFP@rIlZ~8IG5WM4<*vqOaQKucJ@~?6^h#V*KD^we$w6DS6 zw576U&V>+Ar}u3alP|tNiy)$V1#y?)D(1B3`B4SG=GFB9{GzkcQp>%O!1$`5r-55@ zZCHORdQ@mWU6R^69^_m&)cFo!3AI4T^H2E#Dz4+1&rp;TqMe-5ASEo8-ZAdqa?0H? zP*A}}^UQ<5ei-;5nKfRjFufM8{1A_X#6!92u37l<<>~QUVOI?M7t0k;jS%6!SMb+V zlq$ieI`DqGcb%@N#g$`823y_{R3dtf!0?vfm&U<8qz6x(g#1V0OQlg4KkTG-u7bil z(mw>@JiJI3Zb4=d`#FIjmf(@TgL}av^il=I^%O~s`Yf>6D=vYo?M}l@^dGk9pY4(z z?jyczJiy6iJGC;?wZ%XKnP5aYpvVdn!giTUMPAiJJbmM}#Mxw6fa5>dB-4^6BXFm#IS zWB8iov!I*KftH$?&h=(I$F~G>&QQYwbF{y_$chV{yq9&3gQOVDLPu%9WHVZ9pEa;l zFYurZ~8EK|D-xwTd+wj^bCK5tX2Y6;?zDX3m(fX)J(j5*PTSHLhq z29frp%Tf0^v7>|YWcN-y;K~(xTw6;D_{RX;K7*&Z^2zYAp-up#Vcy`qbk2TV0@3JC z3ucnRj5P4wpPC0EV%p}uuDlZQVQ2=vviAJr&)Nt?e~tPvH3}f)t}L2Kq{!Zh!n)Ln zu)q)BmRtQ+3$nHn2uw$kA_r9bZ@XkX6}}9^^X(n8^}DWzqzpjpv73YY_>pIZ@hQdM z$X_=|yH-DY162Ib&P2!7wQ>u|*oyhzV?1$yy+Fc?gamD)Y31^PVQpQ-u<_i-wT4i`4 zY)0v2CXxL~FDn|RC}~Pq2_nYIb__#!r$<)FRl~O~t`>#sI?#6bd30@0b^ysg1T)#R zR_Qtka9jp{lm^-#F<;175uw<>S#!$sY2T}H>G@*PrNgh~Hk{VgqpL8MCv%|&C2Fv4 zf+?U7F;tUa5T&TO+3wVNEVYSM+=!m?DgxPTL{?r!uFxpg?3M!t@vsLOxLTHjZo(_? z?waFNzR$5|4#1wO-$UpCmELIUm@);uNXl;{0BM49Blo?*=+S z-Mu#^{|R+B2k);po3HrV(00^x6?y6-20O>s=6W}f&3+60&~5=Qh>BuA@Mg85SP@D5#^pl90qChi9tdWqyL8h4deH(VN-VhVuacmaq{d`(I19|&??Pt1Fb@a$8Af@ zmWpM}ykYvX1y&JRslObh{(>vPLms6f&XiSrP;Bp3&Q3$gCOH+WqmK*GF5 zj%Jh{3R5zPhnVt6E53YX_^^RGm4v>&K z51&DBB827_{WZjLODH6eu7vGJg`c+v0*k{&I4LiBbBfM2?^5vBqOQi`aDdetak+M!g$2&Vvv4$` zF$zO2uWhoRl@vMQ^$)VSIs>az_%!rY{Oo{wJsa)B>nbt}!g5R;^zhRbU6D0I=II(j zt3c`tU=2?Ys-7&ecp1_n`Za(bw_-v?Zi-MR-LwH+Vgbg+%61K133&l4EFIQ+P5;yx zzDN-_GUBz#<1c`^>@xJ`0eed%7EBgYq6mb#q)myukhW#=UVl6mZ7%-IA(ZVUrz_%` zva8=}%>T_a!L7r~6o_23yCqB` zOiPj_1Os_L72$;ct9L<|3#5l)45%MY3idN@hqY4PgaQ~O8Ly$Tq^X-;s%_%-*`YvW z^Wt_I3O*%uH>+`U=EmJGYJK^cZ4wF07uh482y5NOxl(4N1h4E-K#Y8hb15n9|Tt_4KgW*>4YsL1CwRpEH*rwY?g za3-cdBQia`z7cYQ{IwH@b*fOlC`X&Od83h0DOBZVWtbcgu>ti!<5FOb66zXf=ovNB z=w3rg3@Y5#3NW}o1DTi{w|$g86R1}w>dq((YrXw=pc||P6`h37juL8m#l#MY9bhi6=_a6bn{_$ zNgxrcOfL}N_p)IGRB>5%Z=_4)1hEE8u2U&_W&*sl7h6nQ=R2T-RH80BkaTnN1bfFv zqN683@dR8Ve=*$y(y%yx= zO;`*p~s^TWkf8a8Z=Wb*_QH9s+!IBX+wxOfGs z!wLrYRrR@?w38p1=JBQliNz6IqoW{iDA=jOF8%Pl4o^YGLoy#hR4w70j7HwWJGR%>QHw-pnvu;V&!&~31 zqR&wksTR*IDBwrkc;^|(h1Oq883Xyt$u0JGugT}PP47WNtX|LV^d*?367WbV2~lzF z0h7mA$gDzYr*HfZ* z%P)77ftsz!KOpG>wAHroBi~@k@+(rD?U*A)vtxb0u39_kP53AzbXX=-51H1rM;0E~(eqE!>+L z$!R~?bU)`io38vg!_I9Um12u3WKmRBV4BGQXa~X$-H2t>!nnXe7Y-5J_~`53HWHL; z5j?%rv@)gGQb@j%#2A20ozWWYe-ZKusdS=iFe5o!IVF2UuT~)~c1jXu21H5M(6eJP zCmFi2-SYdyv-9=W{FIt6Izi<6!q^MjxLE%X^oJDp&3XN)VgqqyXKyBvQFdBr1Ul)< zydn0sA5WKu5|Qp%*kK0q^`kGI>OI-Nd-#o-qdv^;DiT7o4~HxW!_N54A=SLZ4DYsG z+726WqkFu=)Ecp@@$a?9&va5iiZ38!Bd2>;47OzfA9&D6`qIZ)@T`SJEofJ2;Um=j-2>KEFQH?;4W7+2QC@D7q&?U7E`@8 zC`GMkFwp2A1jGh|bczwagcyVwN8ue#?czC!F1nKb_{(w7neqw3>a(R5Lkg6!xug35 z_~k5gC2{NQHrd!55bNcZqQn-Ljx~e`ljmU`6oFYaJRnafUOtg|6*1?b6TAja?naR* z9R(vqNpFE>{P#tjl-EK?sDs4_^mlxo7Xr7@poK1ZKqB}XqDHbJhV%eZmM@&v*;_0C zCkKotOcxbD$R5LXBm15RTHH;bZ;KNIdfR*qrEXzd(Ogd=?-s@;nbCQzqp{+O>>mQ) zG+IYsoloRqHdAP(m^Q=s*p5sm(a{g(rB&kom@G;p;OzRG0*(pjw2Qjt26KJhVT0js z@X+^Dpf>%(>|umBXo;6(vvKnrb`7R~_cgAjAOW$VcJf6q`o>!wFf^QU>C9!XXVbPV zZ(uYA`j4TVFn{UY?S4`WSTwRTl?_sj;o0oS;BC0l3J1h;lTG*)QT7xFDjDPsAvnDH z%NO9Zx~siyBdnj*r(MCK1!x}AOs?xTA^!Yp4%LKw_W{bx8o|`a?^hya;v&+u#SiVb zP)?cqW|Mw{=b&p3_7C}We<+wk8r~_;zm(C1n_1gBu~7%nrW3)Jj-oc_v_NP_aneMS z302=-Q|iQqF)nN?=V_o&BR2iO8B(`RrY-v9wLlWRlYP921Z}C48dfgz*$jqc5J^%U zKnyQ+xiqPvjk_IN_Qq~^HuBMpU3+j0wEykwFY863k27hMy+rV(@9761TUXE2ei$cY ztfD#gYH@+d;C~PEiZCyDSOKVi2wISUy%6#!&5`tx0w4ON75}^wtwU^ESLJpd$K1;a z(*5ah!}`$iP9J?M93+A#O3mo2y1PO$O=|SI@B$~SqF=5VC%}X?*BT0J5s)z_~uN=o3YW3-a0**=BRXj7$QR?k$FF@ zHVrh*fvSprU|N?X}GvAsh0N3qt5|Qn~#-l~^0ytkX&O5I`F>N2@iC0t+ z4w2_%y_&y?an4FtC6vY#y?lfKns!ny8%>0*9CB!iVinwr`cVwkDE|<=?if$@HbgG+ z+nM~Hf%5n}-e= zuZgh*;=xkFb^D_=7;ssuPm#NI3iWdz)!!?m^23Z9wu}%;p6kaA1E4G;z9m9)&{wTe zWU&ei?6tM>N+MhYM#0dO9CAaZHOan}u}|z+BOd6t_x4wn&_v)H62kQq0RiAdb}RbJ zBhxVHd#0j9^MQY@Y|sg*Vpn+OZ2K^8HwDf<7Fa$Dj1Xm zp>MHRDV#xWv2JEQ|K71(oU&+e`HY5Zrq6&j;}urF7SxsEclChFeX{&>wtt9cN~UjM zu~I^V%Ivh*+`A|`N<9AMQCCFqT|Suc6MK1uUTtUOd444g)f*Zo|A2K)ansfMQ{e{N zQGt>-f4Y0-zOOq;nDJ#mnDT78#<51L<6NI`$yx|F;W~=?iq5rFXvc!GiMCAHl$*de zA~eHL5Cpr~P`QKqhv4aXZ>^PA!|9`Z$)Sys#0}~Nm6U!);41tf%x1jEt1dXti9R*4&gU)22psh zpI8_yLpcr!&$2x6hQ^{)b68egQzeq_qY|0R^Qf>hv^1SPQL>UZ?w*_HL3Zllv*Z5DRzK|$>ZvCgv7zeaD z7=lzwJNs53?FrwTnrPY1;W%hc6l4fe!9;%bj(Km``2Ri4Ld><1&m0%CPEs%KFO5bO z?{!{)?D~M<^E2k=x|e}~N3RvwvFo?Hm%z_>C^0%e(<259Hfn7!}@9rdNcGTrpyOXS;m5~r0vJv?a+k=N( zrsvz!CwOs4ggOokiR~6y(tNZ6XUQiZGR1oVAGq&XjSMb0IkEc0NN)4y%kx3!g|y<+ z^{pB_i}Z|~Un*X9ki7rxo)4lP+w#G$+04?;BvuTnao1<|~#x6oou<(Xa@NSnR;nm*|Vr7cvQ@Sz5CKFYOG!c!4mY z6w0`!EjXl`vE)60AwqRwR2i8a#-OpvFjQ9gI8tEx;F&26-58V<-h@AOPG13=sSIcNg06k3}2}3&*dj{j|+S0R;2sTt~>irBL`r$!K78VVWyipU1@#P{|n$wDFi9({|yRCJ^iJ z1?m|Bl1b_O?)*ZUGPCNa40tJd+~mOE716X_3x5% zTj5kz7V37xuG?y}YVR5co2)olJZlDimHOyLpH6mZAw$$7acV7t*JRZ%*^nO6CWHZ- z-JqtSIa#Y=C_sH(eF~V!@q&NsCTQWUPxUL`?+fl~rmY9+0z41Jh78dk6KcHwTz)4Vs}aWdW)w>9BC5)IVZq6q%uTtI z7~mMxk zk4u{LOdlO-{%M4j{m7{sOeD;MpqG>vH4(n5``>n*axN46+Va|sv*5HqP_C&;GU1j* zER!;6KcZ1@x-h**2I8C-aei%QVodcnUGzj8vT4h;wII<{6I?U9Pq(?)RgaTwJ-rl3js-&{iQt<=jKh4pQa9*0xaBE=F{Xoy;G~2TS zHMHm-DIi=P${(o4BSRhDdSXU2amkz=+ zx?G9kzqc{1i8P>;KNp?F#IgxU{~>@0*X6;?f&a6`1|x0*bJ^cG_8kDbTePGr!df3! zE=}BiUU=4T&C^J!m3Hx*VzUXhg7G4JtuHk)F#k|J4+6AwXR_2uM>4%gs4*B$#NW;% z9!2-BTnPPzhvkXYO-JVZqG49EEjPXyxbVIy_-!34JAl*`E>cA?U6+{M5=`Fv+J@UR zM?o{&CeQ=HJ5F#6b@BclXe_ZlX4Lr8yZ3bO&&3Jz&aK7)Q*2FWk!V1#0VHe1AKC zdmWGr0DRQtx@i$p@EK^Pu`>D#9>xqc6PHFl4yX)W^9$1=4N;W4M^p?dUh!NE>tPyU zELpBRC!%+mZX>eAneH_7HK?&JKN(?SQB%$RwIhxg7EFgNcnvxLOXxq?rnHvynFDBQ ztyaIbTU98+ywK>YoOkvxM>+(Xtb)!K8ry^^21pghO;rU9nhE8C@Dlz*V70zXKZQ(J zk8d>p$u#xyqw5Y(4u59NIBN!9(aSo85dZAKQGPo>18BcY zy3NWW*e3L39y2vKNi=(Nw?ISDpBy`SUJp4Yx%~-U;Z=@3K`w%?>_(DQ1VPRwGZA)p zm!er4UbeKw8jJQdq&u$&O{5z5%4l&HpFcUGTg}y+3>3 zDOel(GW+vDdQN|xe1)dPzi+4qWJAv6*(KuW%~8|-({+=IE+bM0`&rqY5LvOe6KjA4 zFqLzv5}9}QqZ0Bzt*N{)MOaUknZ$chT<<_y5T{TM53 z_Pe!Qu(ND8;ikYw-d{g5voppsB$r_7jv!gJys5~DiO|^x&o|+soC+?JDDq^`& zm7WuZW0-*7eqq|Ad9m>l$hZ*|jQloKNejxjj0H}Xh$q2g@&*!w`y{` z+KKtg*`09dcp77jOr0y+a$D9+zpCUnv=RYPn3Qp;>FtUz&@a``C_NzbBst~xn=SU5 zi@q7EfVg&2H+njjB>tMREpMbU5@Uj7INVlZI79UPYK!FK`o3e$u)EWJSZtUA?nfL$ zkQVG@ymE!T1~u>CkzmaUR;6|dN|3mw?9fP6TJge0Oc ztxmS6)5;;MnwS*P7v`!#gKGb^kRG5MgUw%%%L%A$_yRWgoc~yGTTy>|T%s$LL53k0 zE3I5&0QhnV3Smlsi|YTf(y9=TpYdq zIq)mZ4{>b>Ns=<>ibucOcJ65>fiDWH$E(QHnk9E<@3rk0Y& zsWhf_yc#6xptm3nOel;mvIgna8gnaSs`4#AShc|kZaxd2QqaLHHpAX5RL@kM(=?Ew9 zKn2*oCER}qr0Q)!zB9oO6Z1})%i6Dv4n&9#9MAHjJq3CT4r5I4^$7^t-xydL%XU$2 zYxlm~_MGjk9ao^bS~`$98S-f1422C$h>{^)a#zA#Mzh>lf^LymB8c&Jpi9LiO=ypR zF;7JO3Oj$v&^2#bOqhxhB?_szv3MXXaS|a}VhY~FU1V=Qua)llsib+isT%8*dK%f+ zdQ2mPRIe>e-V!*0^5BH7fS5%f(V(Kka4ugndXQA%G(X$Nw=e8o6o7#sm!!BMQ=8E$shtF?>3m)S~Oo)Xu1mlc0m!c8R_nJ9 zk;uN#gt=6a_L%TWB2S^{fODb}1;TOf^9F5xH>f$qdR?O98XW>FXr-?o!p~RHM_wB2 z>mXPY6G>fn;S_W#6e$3sLu2mZa6y;-A{?q?Y8^rTMn*0Men&AePG+P~1m2~m#?6&sg%`X}f{VRF%y`X7Q@YsUQK^h~xe;p2c@-Cb7)D~G3! z;s~;74Ep=`p9Na6KVHc6Zj#Yk!kA4^Q3rY##C8OuJ1LJYrXTLFZG-+|jkixR@`v@Wkp^G$Ess!OU-4*U)a zGjWpaFN#3~e0*peWN)ng2NmPYp(U%RbjsUum_T-yaFE|2-%BAnh-k#8>#2 z)mrKnY*CrtK~V_)Y-MiP%5{Ef%cJIplt*xeA$AD?KxpHpJH3chGL>J!lt%CAcYX() z`4pYA<$@I0+xGSCWbnVBrb);MX-(3>{xxwK!N8T!nNi-L~6J3RBRCd+#ER2TC4bPL)C3&QPjm+!7MMSzwT{?*u* z8k|^~?Jnt3o8(RmS80SLP-sP&Dd=@qM}bfq+H87;2VJ%zv;>k;ZSZ(OF-AzGB5i}Dy^e^81hy)n`XI?KK z7r_&B6o$k+Wr(CTYVosck`e+4(Z8?YU?uF+PlRocLa9Mhs*pnXW$Hu|r#1RxGo0_# zb;too_CZs4Z7@hhb2jv)EkCxIJY0_6HA%XgE(zxjcT^QgzYc+H>d;@!1bng;OrMc@ zH)sQ9BQgA(dX7RgO%NSl>r>qt#bF{-?=6nbh=0v6^HyQ(x(D_sr%~%{X1JgJB#@y~ zIs1{+k8*kp$O83`<+<9zK>>}$V2JW+tIH4(B92~Bz>AU?U8nkI;9IT7t-6TN9A)^;tz@7fdw-&&6}L-k0g8R@T{O)!(U`6S@yd zh%L&1r1fW@rC>7_hCw{@Ruf^d7BxfVONmy^He+cyMcUJ;= zE)zULJzGUCad@AyrTfbOMrIp?V=_OTr~?Z0MN16A<=dc(g68e^U1tV!^@wf*I)M$xa*8>xAy zP1*9PG6?tkAXT_VgN?k-)Tz5CXegatRKEWN z7T_z#rJ8Ff9%A**m*i4jy)ewS@_tc%{gv{Ty&!6eq-7k*T*(y-_rpKqQYh$bOfPo$ z1)1yF2ky!cl}jUf(}UO!+K0|g5l)0aZ}7~o(vNiM0ARMbb$vRb!1(=?eg`>SouJtp8=GI2oc&s5}%3|c1Pu$(ClydA6L>c)V^7b zXYR%9@b^X@XNn}zO?I$<2tr>nB?v9KKMKK35ElmWkn*uej>~cm_(*6AjXXE|;MGlC z0=3lCLHu^*SA(EO$m6f`vbWMWz|Adnr#hfZ=!JPG-JW^k6HOx5Z1tQL(!Ots9l{eA z?+n(>C@J&mv0(%0qm^~ZQ5Wyhtzo?2jSYf$BH--3q*3@@2?b`u@$D#ibfVM{j-t1c zWPm@=T?-rGIPojhF(arKbbsj-Q;N7XfhdeOX1iewfR)>7>f3d;Sl1VZUZw5UGVck} z&@%=TIq((~k}wk&UQ-LUV=g^XIsWCK2m#sRhYOj;0+l#>b?2SG&VQig-p-PAd2`*= zv}WfhDs#FI7?fMrg;o_>+GW+MnV!jOhwMRBO2)2h)5nNaZt|rlyoPRfgr%G63{vVXkoirEZzB+%djQqpida;eSJ=S*cIJ@nE$A0gT4l z6vwQvpuBMHF_Z9-2(v9hD|D(rqRP_Rjel48`%?s9(gj;EHGa6`6;-<3V^k8tey>Io z7S1dOfLI(@0D8ktgJ9~xUVv@r&2MY)4cTj4REVL?ElLRS>(sOl%=b8v z6DXibRs3QEYe4^OU<#}&F`L2K}?ACD|@n6l7bq}5=J1&acy&9~8w)Du+`6KJ~c7p!T})Nutx zI9_t-1=-MaI2-m_)I|f=B}MfMKT88`3jXNfdql9$01tdF{=qM0H{+~O=4hzI_@#)0 zIP?;Cp7oOYzfNg@uq6Wab+Q*$DvHb&@`H4Ouc)iN@F+{wfI?GX-6%Y#0F`w~wjl;# zO^oWU6D&VwHRl7nCw@}HYiCx6vp<>gXNdx?eMIXR#A+cE2uXZZW@DE#--mhV%`YWQ zC|#=W&Cc;f5}o4+P;+Sdgscjs-g%Y||Iv+==i(AG!3`{75_j_1sxq;(ak|1bujl8p zV_VSH?Ih5YBoZO8lmS>Rcr&s|eCHclyZKp(R7S5%<^4SSO4o~@EKP=a`dA<}Z;e@R z4GR4C-x+t&V;I#WvE4Mj9gd0a$gaj%Z9^EXdQ@WXI8g9$nad&~>IcQ67t;H_@WqM( zo|}?xDh{;vQDkK|sX{d!+Z8g!C0n_-ig)eQ^&V!RT2)kaHG5dHk1-}wSW>6=C`)w^ zd4|}0{Dbw2WmZU}w(Ve$7{s9bW6I4xUG~vi7^H#bG;={&4#EDCE%7sm0G)i>!Y0U% z4!-xD!euK4`vKgk+{|tf>6p?7L}+wO(txlANp5^(f=#pgYw) zDIUt0#_p{$rCkLB>tMr9(L_Gs@4I=);&5l@$XT*F@U*oaw+ZT8L<)3`2ov%|;p;kF zy!>A@T~mA=Ul&d8jcsFMv$4%Kb{eN~V>h;K+iC2^Y-~49qee|*efR(HJ>8f4n{#Gk zt+n@@*;DOfL}~7W(37NndvX@nd8YVH@*7zSQhzg6ES2bOH>^A1P=j6Qz~Ikun*%6R zGj^`dj%I>~?9+VO4xECR3|ul8%KYD@S9nkY-BV(F3fUKc(F#LLx;1ZX4CQqJQTY#+ znf?%Ex(sETF86N*4%E7O5A`6+kE=0+?(|T&Ek;R(M5>fooDZmm*u#SuSgGy`cADpJ zlVSu=VWbcjh!#l|4K|=AUGwkaDkg0qMG$uV7DesRw2zab{9yTr(vCJ;&^%v@t+iA8 ztHp>l7r4Xmp(TGY$uEH8=GgpA^+z&0tqfF;@)F<{`F@e-?78iu%0y1_jCjlJm>n>} z_AL*FJUSN`QS53u8fPcF#`e)}VUH3Witfvi?AN?ws%1(Pm_a5l;Zf0y>{G`*-#o7J z@~0le)JkiAW8{%XM?Rs}{y!t?o zr+55lTdk%rLo^S&r(<~{m@K`0$9q(Oc3=X{02`(%fmr$`S8Wkh(5i%~bjy!7vN7qv z{vjlj2ufxGI@NK4bxzDYm*F@~V1%uU-Q4*ZdPFuKs2&K1M#o_r?EL&ZOZ;mHG!|pe zt~0e)>3(~us&1kB^O5zLLELHWm>!VL=AScbb~LBgE*hdLpElT%`SyKx&zLd>YliBa z)4NuRZG4JWc`_9$X8}`!=YxZ5OZWou+E33qXow4t>1RoivXCE&#mMrN>?k}vO2%S# z3#S5j{>21LBuryEycPL(*zO6}IJhOa@vAVNerDiClG_|r zb0bfqw)RMrGqxRID6*~Kp0nrpBiw>=3eK}+@9H|sv8ZqIWFG7?xi{UaQ){k1B6J(j z^Wz}1+<#A~5yqo4keH5ZPLc;|`eIr%%wVUm?}Ws0>hZ6^ zKEaHj9?`pwSD=6HVZRIZH8EN{E)mk?h`^4cO`95Ovnfam5lH5{K@>OP!I&gv>ROby z(=I@WKNi^C;OH#$t(n!dhFemVb`lMcX8ek&Si1|~FZj7orIse^_gvbRHIVdKh-m#X zaDk8v-*Ol8h2l?@?|a2xuqXNmA=u4QbFHL+OY`}I^Iw?cwcb1=_9l^PxUf~~g}-sp zyH|g8F|H}je1dQol}d0UgsH_y;}-|klLcyeT1sS?bbEW#v?WV`IsGpi1>#?Rh5sf0 zuR0dYHGyR>sOiau|Bw}J$BJ8r?)Y~!FmpJUs^G*n;|nVzQ7!dXX-u_wLE(83^h`9~ zTC0dl)yS9uh>m_!Ppv#j$9h1ZOSR|B<{qDHS*BWxx#s7hU?AVd{_SiYGSlrskz$ z;21Mki4IMo>1D=Tl5u{fxr?ZOVAGYmLP{F0^a@qYHmSq-G@gHDay)<)>= zdH1{$?$7|%FO`H(OuJxY?Y~zWS9-hTFMBW+nz5G(x1+iSj*rA77tQTFnF%&cVI;&# z;S+Z*XhLj)o!|RX5PY6rD5vjW9DbAM43K3Ka6A%nDhYlvFyOJPxO5CwcF^oCYnJs1xYwC>PYatHW+ z*hwYr(TekJH$)CZD(zQP>z60gHL}sCoK|0cm+{W6an(#+b*C_OhZu=sbm8884IWqu zpH@ZF`C0U8k`f*~!qu)+uouy9u9xmMJ$l$^>8muSJ?u+A*^#ajF>zTO1~r3P-0wlc z!j^n0I)2Ierf~fgW&9TstB9Ixgip zPjncudmYW4B$+g*DNfQ9XfR}6OIIWr(oo2YhsvqV_1Ip#h>p^9V5W$u==!j!aq!#fMH&n zE6&^+s&R*D^PS*NpLXdHg5f95`cW_wNiI=#Coq1?eZ7A4-#)$R=5{eTvqD}n4|2(u zKJLNk&^91Z*c7D2f)Ze45DT%9WDBx775lNEJAxHs&~DC2;I)x1;CPz^C{U_}1J;YdRF-B7QG5OYQ1t>*2#@@Xp0x@=??Wc$QzK zuv18ML=N+WAIHx!3v5WE5VB#-s}z!hC_n{y!V_C_Z~ySotj(l}h|!j?k5nWgeJad- zv~N`#3iA?_qpF2}p>?hyAAQ~Y&jn_|)r3)tPLJS2joxz)8p$xKZA5ci!Xf>c76iS= z7$jJ@y&-o1XfjV1!!;DoOp@PL47H z=04>23&AcaV3XzENk^r}97NZWK4BRVlkW>PS9;{llkd2Tz!A)VjR+m-G2ZbrJ&?D@ z${vnS5x>cJXW=eO30>CE3}ak#z|Yrb7iboXDMO_^Jr9!16$hn~rPSYLCmZAMzQG=~ zQ~q$&5EyFiFHMj#8ds!UPh+mnaH#mHPg9005eoJ$jLCIJC#V{tCOLYHbgo7*`xt|` z$-5y=@RSp$A4^hCF$R~npAqFscCJ(4td#`YHb=fRqC_?67gtDg_X>izz`{8Q#4;{~5KTRdMSaQ0+M5DqAX5E#r5DPFZA+<{h3QZ0@uyvbAEza6=j;oHuEQQZ|E0Y`<5Rc553 z|Hq;xoc8JsJ0GovZa=o5<2J>iU}m!_OiK95`erKi$(=lc+t}(L~I~kU&h6l+v^&2fk-K2U8CMtCXL?VzO%@V-*Y?{ap5CD8+hf z0UVm{girVTYKIw)?Kj*rvY)cm*fVfg^8%Ut+cYT&88pI_&`;JBx6#Aj_H?m%`m_ES zz*=15$ae|;$vrBJVZMbc>&#=NdfHj}AK8J6`O(r>Z`}$~QTVc_S}x zwQ;b|`8U3DWNMTf#`a%vW>2I2X=6-y-lW=R=dXm5zNOBHaqsKVTTXyhXFYLig8%cUiyJZOescy>DzVMq}>$vVa5P z+i}LFO?R+hK-@Pg_!^{K)p6EfdpSy3Jfb-b=|FY1=q!9T&e}?M#MVYr3Nsh}*VzFd z9gh&qp-{mgLby&GOKMrBZhQv)giACS)#=Rb zu@QEp{c4;}4q%U(33+QO3p-!x$jo^$k_1_#y+N4No|y*!pm>G*aO8(?$m>|CZxd8_ zIteZa#2;Iauluqk-7dw0laaTRvGG0|BlW!%?k|c^BB>qFlR;eYlGOLLv(OeFSs@)4 zL@Xgb%%x$0AsZ&~LmupE?{14g84WjqwT`YEC-_D+nZ43I_JfgI8(>yoRe{gK7ovsV z2$jwbbxV5{8)*22rQMuQ{l6&iL zx2J}+}~(3bLW$HSPU{47rvhjQdpZRehp*) zH19wZL_A);KNTFSWig4^%3C=Mb*6mu8WPo|9FWEGS&A%tb7Ac8mbS0rtYaH%32S~9 z*@zi!|AWC5sh2ey>+Z5^M8lkU-KrS!(Rc}K9)>EaBF_{}=9F*JqBIhoJ>Bj;!$(fp z-?^3^4O$uhNurEvW7SEgh=D6_H{?5;_X_eB-?WTin}4G71&#vjDKNx zvPV&6fC3W^wBa`ORv=q#`P{n z4W33&H1wT5sIl=_1o~!w}8;s z5mO|eQU_0_>P=xxXz2=y;wYOWDPP(G-v73-WwVzfP zCOrV0DaX~OG8$#>CV2r(CMxXwcyJ_|`M9oy;0+B84IF)ILEoqN5@5wxwG*^sd_)k2Q4zyuT`|@PZ6nhW_!-6uyVk=vh+HfPq`Xl~RW5D-IrYgq1@L^uYsr_LFXo z)@1^nraN4Hp8zmGVm5;nE5KQdZ6W%&P&?UN%92u_ks9AtO8#PuTsedS27=4O*Gh`I zP0GXsk|cZY|4F`Yr)HSPZmxP!`WHOsP=f)Ee_Y~fweS6Vni^`qDNHhJq9^|8IcK&m zVZOQ-aMdz^fjo*9u9nGYEGLAuoONROj>mw<2KW6SwofsLF*S2Cd0;?I4f=){g~8P% z`Xzkjz)tBATBg07j^wp4-pzT|L9-4F;Lo;x3lQqY{7Y?a&a_vXFmRm4ZDg0w{4uJ6xk)oq~$%<1M!r8J}hOa&`Y=HvS6(J`V>4s@z2J*4-(Y zV~!X_96ErQm(6N2>ST}(k_3q{ApvlqR|hrFs@n>SHmN$%)gAuX%9Z}_VS$YJV@vf! z|7su{G*HDkFPy&%Tl0N%#!yoPXK0=PDsOARqo{-#(OuBGrve%uK=d~>?3ur-KpXVg z_FGsUdi#)EwR9faXnT?Qp2D-43uq0-mBWY8$=x8TFi-VwwKFrZ|8(7kK7-#JOLZCSlg z4YM|6&&WaJ^bF@9c@!`Eoe>NmaRDGrJ)+c#R3ENowz>K0Z}*>-c1Fv`+4*V4&kjhy zKx|*G9^q-k8Fej9{waNDEh#}|V1W3m zLO@$6Mh%g!ypoBm{7SLO)!fYbL|D!4-(S$?(&=D;3oFuKO0%RL#%^2@VXXeOl~;JxB1jAj!MMgqunqhNY5J=@u;f7@RxN)^7~eS0YSo_LKtIoU(B;5 zdb+32CpbC1st_ve|AA&)_*52aAr_;Wq|%k-hh~Hmz4kg(j6H-3M#a;9ZH-h$TP3M| zZGZs-(9btgpW3b1J{3uG{LGH_f2Gtn4&E)NP@aWPDDMv}1_S(=%jMSkjWdo?MjiF> zdhqfLxB3T0r>fZ`s|=Toy7ge-Q#)?{#;B4s3jB2@%{EXmLvlr65i)OF%dUzc>0YgQ078W0-XXgWayW6o%&8S!Qj*TIM9_Qy2fgQ0r8Buq_?uH(6IMU3|F0Gev)iYD;MCj5q)*te5}YDN~#(X%P@AB z-J>V{qV%brxSZHqg*{JZL^MiCU@{V^oVo$mJdmh+I65jx@`A$CX8<`kr%{Ov$J zdb*6-q~XDyG`z^K>HT(Ttrb1FK9>rO2~=&7{En;G0EDcr#Ij zBVmtNF@b@Q33v5s6K{#_C`I{imi4<42%l`o+hWb1yMvpJNN;ai|FMaf)@pA-@!nQe!yL7=q{9mi!>`;kL;7#AA*Dr(^=u&w|ut1 zPCZ#|T=f%Yx@N1;TUzaOGg&_a5+PX%cAYiXs>61JW+M zD@u_+n<`N|$`k4GGx0%4RX~YJh-5BSVZGyABDpsQ%hHBi>Tnr9(3ga+)?~ss2n@9G zrZ=UVvye@mb`!sL%6(>i5lMpeN}Z^k>8ENd=#K*fD-EHg49E)~_N9plD6c6|m`auM z-*XlgH%sKXV4U$G{19k6eAFT%k8MfNaiAqA#%#sEIN=sg_Y$e(l-ZvD3duWqSniRJ zFIaiOBD7VA!lTBv+D&lmnM8yj1|Dlcj^AJ~pju0%xL3YvEk;hD!0+{?$mr*^8$Wr% zUE-sO&LXTdB)dx&42GQXZT;Q){Ud7v8ogeME4~!#*pgGl75!M*d4a4Vw8Tcm>k#!* zk;y-4V2g*_VqL8<7 zzYc+KZf|$gr=QEfd2JucRP= zdqm{Ltp?{N>d{u^BzNT&C1W>+``<^LNcSb#v{Z%fAV8}6oyJ9uhxY|vZ1k%k=2zk+ z=H-oYiy!DtbNst|1Lz>YP#p?=yFfwBzge;A_-)Z?rF*V8ScB8M%5E%fb8;O;XybUvj3SNfty?N%!1i^v?;_5^4g745=5X|Hudx zLXHV7tb6F-JT)spz$WdXIlf*g)qT!h4N5Vb9m-D!AEY$vsiB=AE1VIH0uZqG3Dpa& z8dO1*Cg5Ys)FN{sdK1__811z-y8cDDnsvEZT!R}33PRAW z$>M(gsh78btm3LK(zIvQvQij49b;;=AU*!4X(I1LdX^L`E~fFLBm)STwu@Htg0cWf=qJeQ zPf2W|1R&tTXrACJ$8|6frF{k8sSbHB#SEdx>pv)!`!2Ohs%gkR?3hp-!mDcCeGO=h z3z%}k81F3AR=-;4DfJVw5B}`L1p#O~H_UzKB@5@qYq-1C@@y~floY=soz6=5bDyf; z^6^2yFJ-8O#gTVf1hjCa*lcDhy0x?ey|Sdxji~kSF*0AHK!CUPxP=+oIa2`I0bL!t zbzfXLnL9BAwYm8yy4I~kSPD?*`1FA5nQ7N$y?0` z1EZJRzbjue)$PseW-XmJOOb;&PpP?l1T>c$0`fpWlLFQ5(u!!adX4aBnyo2kE{P(j zm$%sdaDMp)e56%O5b*Ou2TjQ1x%u z8PDVNZNY<}R0H=-7G0$V>G#l?yGkkzLUCv%MTQzM!&O&S?Xdb6h&_hKFa5~skt%LvyWElCSByzszoaAv(?;)1rk$c0=&6Nl){?H%IY}3c{5TMBRkf%Q9%G( zjQze>MpM-f!Ai#KYvv$@_pd5+(IPBnM+sA#xu>BZ0Pbs$*)U7IheWpR0oitBkJ|oJ zoGQcI?_C!rW%@xURuF(X@biyB+3F`ES)v!&l3{~ii0-&?8<_g>Q=wWhYVj-}fJent z3!8TtXOu#BpevG-2z9b26cOVQyOiJ+WpDW>q-%Hh z2ZdwtEmq4w012K?ajYbw)k-B%e6V4x6`fO2Z_%k@ETQRq@kl5w9 zzqPT{9-GU(9Ps;n%vk`+iWWyoESIz)w1Cf=ruV(nJUvcuD zu=TPb806xT8XA8wvoh=}KccZKNkE{;#HTk~q!Y$e*xl#56aWGkv4a`UAi{}{Ra|Rg3*|3z*0#F6pT=~_cSLWI2X;A*Jz4A&do z5b@aKNXh9W5d_G?<^t)oUmLh5I}MCyUFRFA5tfqrq-?~)B_&%JPi6%S%UAI z`j`@ELS?Sjks! zbMJKS!tGUDnE+G3^Q+bj1D}TjVle?HR+si(P7Iw`b>w5i*JD#3NwK{8Stq`^i1S2& zGRRI(LHViWNUV)dGWW9izVl0Ju&`7r%|(?N`9bW5F?tXN8kH^mQ5!jMqbCBh0my@^ z)46-kM41D2#po5C?2ykP2y+R&A}wl*{StOM>oe>ajMq(s(iAMnnkgt9j4$?~6AlDi zRrE?V;av5U79Hjm%fztC1q*rPRdPUFj`NttO)G~K*EJtzVNX(oi0(?sPUKv~Ts z2Nu6{#Uyg2T=D$J*1uDQFyF!RH~rRqE$8#Ukh~2YhTh)bQqQ{!A@!o+cqa0|y!X8* zI$2Xrh>Y90JAqt7=%QMQtJnD3(3M`Wc#}5GrCxo5v$ro*uHezapxqfHKF;>YP)R79 ze$B-|6TSSi3hs6vZ(?~URqkqZISDyF{7shwICn{%Pf&>aM!u}2HsDW zbX=S9ZcvW>d~Dqk+$iHeAOg|2zfZTDh&w)JAn;)u1635LG`52{XdWx>96WM?*7XYz z-!cnp`Tbp#^duzwh^XfBwucL|r*@nr6l>EjPV7)`17WcQ&by|LYH@6P5k0HOt8TmX z1@d{+sqhlmx>;XKb|^@!Ck#xQg_q3B+Bb|5-^bM0%G7rLiMXvLr z!uMuRB~2$?Q^3BO4_^H|_v=ca1boJl)s6yDY_E+48y-`Zl%lH(`j2Caro)u5qV1Gv zC*$Exm|kD%An|eZPJpS!`8@ey=5j$u?a!W@DdjTa8KD~V($^V#D2 zobs9v(GD}6LG5{?2z7=(q1Vvq(b33GZ@!M2-K1FX<}^NnyCJoQay}1e)MzZw89|6o zkC5%jH2l5W(}v)jnud{a-2MjQxu!xxz>MH*6F%^;tv3@pkBHH0@tLE+cgKPr2Tu zRjnXa!_ife>~V66I~fncQK+2kP5tNbKFBr~hgp-g%*6%`@Bo z`AoouqRIB)gT&V;2z$U|-7{Iaygv98Z_C=kp%UH@P>_7efb=j~t&k)%2(V-^MED!Wh2nG6;iysaxC^_lBhIxmU4x2%V_0U@4pA3_U+#0W z|4ui2-r@>aC(g-`9u41QIXZ9ANPiAr(0z|b0?1TRps1Xz16E+<`X#H*EdSZWA6Fwy z@k@G_HT|`EtUvziy0In(EUg{wD^ z{(l z&eM)yRod5g*sCJ7yYFEKwiRf-_KvWS0Pc84aIRZOQ)jF=27qREGJ_af=>Ly~hhEq&eVjZ2~aSf2)s0sS#Kt;M9by`>fjfZiL@f7^a=I3y+A zgWEOPNcy+R5#8!3$@#83i=Lq!3TZojf+66+pRXST*#whjbX(<~*8J5O%6r6qcR zXcF!^TdlBiPV<`^+NdtdDrgj-OzwSC%~q~deKUVQ(T(N2B-SkBFMSfz`+~KC8$s7>mgV)V93b8mQ~`01Ib%o*4xEo?woS|yXQHx*C|9! zS`b0uUTi%=(rImZC8IvhLk{4;20m(%d@BTs0f!YP%Rva|JWYj!POSWIJ2yF&1&4-)e}N~&kIDG>5VXt?$atJM zwxi_GN4~_;5Hz~Y^6Y1DuKg&cm_KYvF#*YjZGCma-xr4&sg8cN&t;kjNupP?+m;c* z-;AAfvf8I`AzgUvwiSmXYFeH`ArfHSkfV8fn78nYXL&|kXBkPeEH)SzPdwF@hM(Fz zs~`BK6A{~;^aC$AQJB;q-s)HNZ>b3_=zn!PylL2v-WB=1WzuS`yJXh7V=Di{wv{jHPl^~ z9x3m^HDZpZ!d>+n_SR4-Hy!OkSyKxhEYR9SyO>E9;212kE9z7KEAV|-8XPSx~P!WGPn9J*$byoywx|lnEq4nX83^1)_dov+ee8*{yG6 zxR@Zbj%8^mTw|T;bw)MclpUZmK~{-V`U)*#_g#F6`Z%d=4mr&c>DBrx_;KtDMgLN5Lkd$OYpcTEU0u5XBtI! zCdaH~HQJAnBW#Ck_VvW1Q6vTy;LA9nFbL%#dS64Ew5@KFUP@|oqdo|-8RMf1`Zz*Y z2U$gP@i1dsP@SCVg!M*c4vp_m8-@}I7uNW6@^g2LYmv}vps|`9oij}4F2-K_js z)zoN*Nmf!)xrFqte)2i4)Vm&z(c^W6dg|^OA{~ucq`F(CwADG;Do$U^2;|64q^gTv-IEX~6RA<4xEQ-@t;I%firA${2 zA%ns!W#sp5DtUEo^Ih>5`A4cpafb@tiZ||CR|wW3GUVPRnstzq+KP1b2jaX zNP~Zw|Kj`-0a>JI8*SEz`C3Xe9X0i9CbV;5urD+gH8f@cncfEv4#8LDq~}e&aQb*Y zUTSR$9>H~q2YvV+a;K(I^MCbLvI!UsU$l?VJ{2L2^G+t<}tl z(+ESTn_4aZ64&y}&~9>>+p&S5&6RQbJDoRV9O_a9j~&ry&%_6DoA*X^vBYdtKJcIm zYC)7nI77bU)~Uyw%l4pInykF+QACAimxZ)ZD{=YL*TZ^xA;vk;r+(fhQ5dSLgN{#w zAWPG0m!5&Y6FJjLBbB>m*Q{yr0VcrXU3QUv>p2`<$R7S2HRO?JqyW4xKgEEE8)swwoP zvKPgD)A2N7mwx6^X`o_nfq`i}ZjOf8Z78+o`DWOYSQ4r-54qaM4~}M8uE?6Fo(Asj zz%Lh?-i@)}V0n||Q?z6zb9R(FF{t=v!`YSTU@Xy;s{{5$5@|)E=tJB|cuzkql9F#n z1loWIPjN=_9AtNicnjulBrenMPumt7Qd*>(xm2Y$qD-e`|}g? z^t{Q+p`xeXUG5r1^)X?b@gi;%JvV3@4U?+3$fjT0WV*mp55)-%uPkiTA~vV&EtviuRt~=q zraJt4=FfqUfmVK~OBP?4Uw3`fr3Xmo#j-ZAi$Uu=OZp&`z{%-*{D$S_9hQ(p%A(<{ zRKK02Q9dN0(mlrXe~|I_p{xwZF|z12Y;d4*!*fkG`mdrn$Crl>@}J`Q4d41)Q+sG% zkl6obin55kN>uH=*m1zkGax(vdq|*dxCKZfSXhE^J9lnvQm_NL6I)*I<&)qjEn~m& zpLVKmhDyvp_gICT+sSf%e}YMolRAt@H6+}Ba7A3P!U}X7%2-4Q647zGBdjnXl|?$Z z=}$Zr+fIv5S#u>M%n~o4HlLI*BDioq9?k4@rOcf3y?0(kIwzsVc4ChT;z`yWroyMNQ-`Gd?grv6M~=?W@)%;vO@0B z+ru5M_4bARJxP0i$x^;ZYsec*fE?#^6HSYaU~G8$;}34Qhs0^oAH-Bedo|X`*$D!NCANy!WB2uw*9c|7> zi3jgEN!UVOFbS;7)gqyG^oyoXjQQ6sRlbT*=#C~ITRLGhQpX#!-t1Gmz0(Lob(n(&Z&zitZw1KkeZ=NJFp5dmzk=P`o| z>L@`@2T3th0dBcORnf7*&l5~-L$pm7mc55kjlT@iZExB1uVq`93XkFX9$n9FM@By9 zMMp`>qQ7HugG;4*@Ke8O$@XjD`u}!3b7|gYtMp|-WV5axh7VRBdF$H=8bunnd41rZ zZh&T*F)3EUrw2<(^ADroM|%4OVZ`V`74iSZP3$~G$zBK?uVPJOLs2{aJXby4%JOEj zUb0ZZRAC{;>qLr5=~X`Q(J^OGy3yl7cZEawv+(5>wx$6Eq*wbAbduYI5$!FRKvMp` zp&ix|9@nB2)OU2U5K7SPSH(Nu5sHt+1i$U?iZMOmd2L50&{xWg6ic?+*dKL1&8l(+dj3Y0Ip(%fRybv${SZ=K_Kn|CvM0?Z1=&79xZzZYwxjY7 z7G(~~TivG{q{~)cj*zjLF=x-)U?OJS86cW3Zl2qIv3GP#kt&7{b37K0yMDSQ;C(Ds z2w3mA4i8~6i^?c*JAB@lbH-{}9LT$V5WP7?;TnHVBRWn|-Fa%|W0gE;B@F3Z9mMAZ zytMdzCR(n3lVLy!f|1yBGt5OOH=#8$;(0m42F$fnG&<^oo?7Y+{E1S+(axXnocgfR zH~%`!iT+GpziR7nTdgGKwT5G1kCj94VhZ2C510A<7>@9S)I^y+uQ*!$VaPv15cybl z^y9}iLhN@wPjx;U7M_m-Lnpy^f0ja1G}(WQgx}cK{xus%ra|(;vH|ncZX5g_)UoHX z=7bWp44yA|OpWVhsC=_oGR7GBx0pLVmlOJZnOA%L;r)Y8EBbwu6y-c3EDq7bU>*#c zgI)rs{*JTGFBR?w*nXzxZsVFUQrjiy&T$PqDJ{gUyVK;*+2%c-0$pYz%2c)Y>Xdug zr1B}MKfToXBB&@wM@~t6eWJvA=t*ftu1_)Rp!ht=M+bs$4w(+$jgTZx z=moW7W|n{13lpXl5>?7TF8dQ>|#<;mn6M;vJEA^(F42PXNyKb&0PYpz2m^LSxEH*BZ*MquBjPJ7kel7=Cz3m^0aP93N8`l<7=mfhS9Iu|3>?h=oUu=6?|7N<*r0DZ@; z@=7d-Q%!ro&1)w3g%^o6$JXDoGsAnHa7VU`>VW!^Kil7?o|8OXOj*K9VyfVfOIZe- zJmaOwzKDuuA^BNOc|&U7-`Gq+0Zl(nH}#W^adR39(e9iF2#Dp;dOPIWrq5H{lkI+T zf+<<>+bS*K6SDp4$9(yTw0=7HJ6CP#yq&tP*&+uvQ6dL@bSpiN4!=R!842GL&Ia>4 zo-fthHs-zodf(C)jU3vQpnH-Qc*`Wr>VJ?AH*Axvyc$&Y_m?T|m`o~PaS0l{Kr6yk z%!apA(lCpxP`6hpJmp|JF?`WBaZf%AEY%oX9*uyq0xriG z?vv8|GDA8Z(L4rh^skKwii|326q4Q4&f42=H%taatjK?Q>?|1=u$xBL-ErZ*&AXnR z748I6YC`5<^Iv^NARejQ5JS&F-QOZF_{z)f?`cfdW75xpQhiFIV@94Vh&g(11|RV= zmXBq|G>rS>camKK>%L9@WL1uwvYbDEJ~J%8gL}g}w17B61mm!_{1>W8>{yX2-u4c8 z`>X+)M7lv_-UC6yn{M;T*D9ROG)oi;L6p^l-cC9jM@{I7&xEb6_uoT8 zXUfE|v@8&ivR+nng!IX%+OUsJxv$%>TCFK458hare>opyyHW=U2#EN77r~ZJA)}IZ zn{`FJ-2jgd@7>Rni=K%c4H8E=a^|TH=K6a7VMb-k1#lKv*qdYAJyxoK zVQ6?ZI6U-a$zAQ&Z~jp8HvX#3sf9>jc(PR!wHh~JJ>Ox4v2AKk*0`1yx)x-i z>Iuvk8pdP2YijJFFXAxBEq_$mR=%DcewY2{wh7I%OX478?_bYTo)aFvG2XT&BH`;Q$2En z(U0?3?E3r{p8+d@pVnqO4VP<~c4TDI)sTefk}X)9mjJx;aQq-G`eE^q>xlOmh-vm= zvFv8~@qsu2p?8>2>e(kINsY63Rbnd>MckoRGUlDp2Wi-BFM(FdNn9kbUMoLGVC|Fv zb1AdlO{bq@VG!<>d$kze${2}F@kgYs;9n0C2^v{1(TjLPY7>ehq2{RYHyMT&A3k7Z zNWWg>`T%LFW8V#QW?~}rjVSeHvKEdyb~d{q%ACy{=9*V1MQ?)YK5ac^<(VG6`N91m zUMVDss`#%&v^pld^35vT8_U?Cgn9>p_sJDrstnqLJp81ySfyrkctTjcvBq89+g_+TvRA4 zwB||GT*GCIuXxO+)&@J~{1M&ih(bJ9b3ug6qsJzMN@QrK9hs=P@}8@6Tgf54$V(eg z8hx4FI#l_+wZqhwzzaK6i?sF z43z2s9_QA<=8bA6Cz>Qttd<>}HA(i48rnD9_f zM)#ib{}G}Oi|o?13r(KiK<$p{X=+&34iEjUjyjG<&}N=T=+K`Tyg-$&)tvS(VoDAt zBn+RWwE{Almy?5X%&OMBZy*33hQsnQ8-CQ6X&J>&5O&?p!ee3?wCMVMu==wkebpqf zCx7YP*$-@T=TmJv+iQ~Xw0~@wNZ_Y#J|hCy=O8Xd5qGVJlKpuCE%T7iLw~qJC(v;a z(CF5Z7(7w$+GMfFqct@zZtLhgT%WCuBp-jA<>4=x@w=opgV?&b9FlR!C~k_ZC0wS$ ze;Ca}^{vuU3w6KwL@515$zr3j(V@Afl_z@@huJ}nsBv#koA(?`|3Q`zx zea;W=jpN@t9mFYmjaio%8R%~iQp$_$B3v!EbQ(cXs8ulU#*;6|g}5k5Rqp>BHb`q} zL*Gi66;`!(<190O-HRfwB~^a+wS%0RfOwE$ysi1tT2y71bwrDbj9YwH|H~1hlUT24 zIy1FxxGZ8A4-C%0-UzMVhDxb9liZxbL_7%#G^Rw|XMb5uwCF*Ornk9#M!b@MMd)H$ zt-u^3jjSIH3H;t4)GvdPndaI5I3H^c znG^jSlF>^09k0>| z8txp5FlWWfPiF*_DEv+C>c(|1=3mJPT8tb>MH!eQ*0U(B7Z$_HhzVsbtHl#cwX0yB zW6T;25xKBDE3hhFo>?qLdfcy*-|;q8k`jIG(5P#%-bDptTu@pua<{NeDw8LM8*qjo z{4$W0dH+y@5H^BC#zXmVOHMsb{WLq?hEotq^#e&hI3Z?S-yr^Xo7 zsB#7RzF)xGl7rW9@V<=o%WK&il?DPKs@*$eQ>O{KDs+U!x|?k(#z~pWX0$28abpEB zq&feQ>JHS{Y5ydCSg4!|@T{aiUd7m@;ly-gC}>Kyh0a%YO!ht;s|+R&@XTGx2cU3Jjt-KVoS&a;R$ORfSVXoPpVLRY%^i*$7Gt?!WQVtcY zAA1nQ`}mH+U%f1)J49zZ1|cOYj!%>)LgoFSbwX)b-BTy%*ws!g8-qjV7wOaN9uF0! z?tsp3G2;u11ax4Mqk#upmL$A&v>tGV4MtF2wZ~d>B*x_CueeYZigB>|E~qQT)lpg4 zMIc}Wxs~BY{s+~evIpJ%yS*Kb-vjx%;i@8@jp11_m*2s>JoY9_-)i~UMK})@dOvOR9mFR&F3972YbH% z{%~fCSlfx%F{qqCQDSqs&6Nd?dT}5j9Xim=T9t;t*s2oIgWacHkeOG?!jgy6GNKO> zpa;gQ5jYl2xZSKy9t;zJ1qk4WYY(1mwZlMyzDgjO^mMOOk=k{4$(5YsO4uw9y9q@` zTy5TG|5O*Z48{?F+n%T}%u9miG0=w$gj}s6i0JC@++ITJFIzsrv=tsYJA;Z)WxzC<1jEzyC)e$oPo>)7mnKiudM3?JU#U01{s zceNW1!em*#>wVouHW5)fZ{N9V-wre!#3kj21A|@_v(OV^bmNJRHEcNFA5N(b!V9iI zg;J%{YG6D+n@QY)g_#IeniCLEdZvdZIA8-aq~o}iifHw3MErNMuSbC)c2prVsgq32 zN0bv}{WkIhw<|aXE9Ea!a6bf3{c$SPbXfwjut(e4P0Zq{~oOH8`t9QSThyu}g4Fl6lp|b85;| zrnQn z!0GK0>LG~Tb+Zub;|_GlE-LN}dh6cmnGgGMNQq%y60ROzKJh(_2VEi5G#RIH!zFD} ze&-OSLwX9y2-B64+nhXwN~hfdO@qE zMI~2Be``I7W>4Jp8a$LDr}zd#yb$x=ojYu5Qd0*)p_8TH%2R)dW5$62nqdS_JV&6&@U>yik^ z^E&*@{w1%YXcG*MgkS;i$YHsB{F>KOT0bXg!SQ2PH=JD0Q+aZOwkQhx79stM6|%{r z>F$eYbW+kqTC7L#^nz5;@4KPHQ=1Bb@@VgF?jF>^4~28h^%P2Z+J?jFOe86`{~Wab zq0|Yjxo3Ktvcq#z;rjRq#>fe1(8*)4^sZVBl3B{g6T=Ta>1{f@V9$1g(;5I0kHr$K z`pn*n=x@ed(&qo_62$_hrDLOl>e%BkhqFUIGEci6CctZF8gg6H$Pr)B-OVp1e1oPJ zW)ZmeOe|!L1^yFT&!K*!*8^dA5*=Db%FG$PuR0%XlHW~(aM?-5sJbM>t%G>81-~f} zHTWx))^-_nqPVQ1c|$~wI#Qz3*~~}@E6D`@7{Dj6+9T&lYDfg|N_C`|>xF)zch`Ik z+xvOZVa0R+m?tQ_3nACO3fdzWOc(Lj19JU!;UoV{B))LVEJOZ+S#M^#T$kQP7>L|)m80G;1wpcS+=Vid~YIPLiw&(nf{~l*o+xU zbHgfyLY`p#IO8HpLNzucAy}~QYo=evlwjYn|VOS)Z}VMuKSiX83n)7 zm#80vL(1AS-(N5jm3a^!@E$So7^_8W_VvHK`PU37`r9gLC~T?B1BFVRt~sSmL7sAF ztB{;4n$DbREsjd;Kf)`+sfei&*;@b6tDD*1jncJWDB_17iuY)oqG>`yWp@y3dFO^? z>fRJo5SHa7;GA!s^!(r&PGgPW!p9D5$;MfGLjEr%qoL}En*@978Ola2Ccpf-IGhL7csYB=%LG&o_V1*!Qbc^wqD%vo%l5;d24h{7V z)@l{OSX;=aL2(6S`Z+lLJYQo7i(TJBlLVoj?04+}R=aT2-uWayA4?ra(GC~kQJdu# zp;=hX5x*nb-&~dK_9oZ6aL|ZR^~-~00adJxzmY!d_D-c#i*pyc8sC&nus{Z@{pt{%?Bw?L}vO$i+SC5L*i(9kCMje=ZIu;?}*9 z)qCR3w7XXr`S);ms{}xr$~;HvweT$gD?teoot}~_pYB`&1PbGlgig=k(V4*BU!Fdo zl9BOiX(%0O73hCfIJ0wYi*SacgFzcbU6asLZ5lcqI%osVDA+D=J!~OO{HIV@b~&4{ zZtF+445iV3cozGvFVVJ6(QX_cQp$j3jZ46NMQJP1t8L0uSH6PkrD0S8kjG~#Z-gni z8c=xw(dEAeKGDg=JY6CrtIFB^uTkxKHa0XSp_vRzh<>Fd{2uA;N_1t!JAdyEOzuVE z$js!qge(3%Y}qB1;5oa-28hb+fXw?~FK(VlY(3H(VxkPPdNgW>?~@dcg%^~o#ZVz* z`GYNx`^TWK_Gg64zSVK28cV#>?@J&n>zS$hZb<9}aJ!=^8(e9A|2+d^@uazYk7&FH~G?OL85ET`m+QsN9`U28Hz!HO7d2l*$U8JCg+gS`4 z5lOIx4W=*AWzzEBRvZU9W5Ogtnv!++NZ?2t2N85IOPQ16A@n9>Kpf#11i2ZaH`|+4 zRi09^j*xX=pTFLY%jYjO9aj?!Z+}GAVzE9V+WDwKwfnDc5Lr@&@z$rmz71mbIkX~D zWlWzj2n!`~PW;rwBUg9FuQw5LMX77=ZjB)^7J4pD@w;A-5H4jYwO`AXCKK(slJ&v& z1I9pWz)|vFI{G665T7nJl=g7&?*O(zYwlr5b7bU^=5UdSymF}BMgb-v-4bb~YL+5T zl)AsCFr>P^I_uq%8FDB@qkW{r@7^7$(W1SH*=Wpwrxr(50rn;GIi#jpIw9{^kNLW@ zA_5h_5iFm5SJ)NkR#AlIife`X)4T2`(uC)~|B6rZ^rAEXH`WMtV57G%O9G^k&_tAo( zZ4dET$%`Ow5w+?DU!!mN1=k7IWEi*nrkk!0?~Y{12=Vm#=dkq+tX8 zoo0njAYMj5o)&%WnjOM#pCGEMLX`@w&>a2nHpK!s#dZ;#g0)oerpnu`nW>et*_`y7 z;`wV;rL2vn&xS2OPP@&BY{(uzVTv%R1@>pVudaYR~Ay4)h3V zVV+8sWRAn<9hlYevgP~t!VeN%CX)z`%{cO$K9u-jXCYUstDW$gTnJT(b}Am>FwDR{ zqf-D&^EpP~-net~e->mjfeLFS;B?rz&5%IuocLy?<&OwNhk(=AhB4}+5RA42BkhZh zQrY!K!BINU{D_ZUN>3tI&6Y`}CTc&rnz>3f=wz9*LvCOnO#SH6R%fOM9WpJo>tDC> zApGYp#GaNb<28&!R~=y4vkg;+^Zgw6e zv^)4g`D=T%3ZAk$N8WXqJ}Mw10-NThN$=9{l*~uJeKMaA=Vfh*wa3R`N9^P<5jshQcwJbxPbWS8jj^otMtAe% zF;|P4N8W4e^kv%4ZOEMBo@uLNiZl(~d>@||1dK3d{n;GP#`}?K!x_5ph5s(xf#8RW zIwn&Rr&^J-;!KV>YrHM{lG``H)rMm-brMMemV~h5GA&UceWPa5d(l(SXMiiC2!Y8& zn}d*q`10rXKaj+@DCRV1&nItad+Jv$EjK8s0LQ0Lvy#U~HN2KQ_z5<8cnUJ66=(ss>dbaMJ=5usZY%Dccb?yv+}sb&RiPs1XO-pRA>538t!Q zgD96bHC<>LMj7={z#!5^Dp?ksjo2Z=K<8X#=GrF>cqXP_YpR}wfSa=tAUfGhf6n9R zwjBf$ImWL8D2dD{wHGD4D)~&_{ek$>96!liJgitWL%0Z&I8w6_otry*_qNl>f6n7h8?`q}iEIe!*dX$lD>DNai5WrIuarN8L}4a~zmDPy zz-!t-B^4{l;4Hv9{i8}UJ~xR5dpRxFE~Fx76kR=`7n6r!~hAb z5=RWH8XuNVkAVRz^QAb7Iy-4#EAh0BS3+(WEG!ToJAcftb84~_F+|UkTivNG)5w(} zjKl)^-fSTj&~6A?yE`V_>I=-oH(Co8)C?ARzhBU@s1UW6PYj9h-1ius4j%h$kVGa3 zeUTDnmnV{eUk7aUHLMf(mVOay6x$TeBQ67-?!UAl>_al|?Ls8M;5%7lNfq>>ZKeN|s*K@y3g0S-V zieumBb1Nn98Cmmo`PhT0$rt{vq}~}j`SoDbEJ_|)NmvN8N9JzDDi%9;Xx#JTMICRS ziIX4daTPEEr_xG4{%Yl45Zu`j3l8rq3F!dN4Aej-gsBc0T7Q3hyVVsGB*k3GF3-i? zD!Y>n39T6}2{yc4?P?}0m~wm*r%(}@XV2|J*&x7RoVaxbKyhyY38boOMwl6N6FPP3 zg&F~7|GK3HF;5C%rkSrV!u9w~js(w-RVNB$LSf^WC+&YxvAx9eURAx>4E+^yr(MjN zT%1%P%xMLz%{!j|7PPY`q0JfsbhNFly|>`tLS*IgW(iL!@S+{idFK-Q5OK@lK}hQM zQMBLZjpiIb8SCEnZTKbF+JP#ggdF(#l_1~7M_oC7o+f2jhL))@B(oyY3W8JX%-1NG zL{NGD6aTkaBSs}^Yn+jE(oF4b9PdZ!9D<(*X-^=~SyWbpp&_{0Q3KZ=ZIYdJC3Q-& zkC$|9X>vnN2tXdj;^pnP*2w}{$Zap4r$UXxv)C}Ws!2yuGPZdK%GMf@i8m1JXBJ?_ znp*ZZ09?kgI$#cZ!al%2{#);{5=gKI|B{|9Xb>>P`m>llCK(-_nyv+z*|sWT^~iU= zbAT$V0iC(01<1Fa-;0HmE3MX*A6w2_y`pBG_BhcEz5 zRZRdbDTaF%%%B;G0$(;3{yt%_9vI049#IXP;rV8+GWLv!Xgsc!0Br^ZP&sn2?mWwU z*--$uIBZii4{QgcM>|yW!0)QJXoLbo62uyce6rmOLXLW zbz&9^37pY5o^^*<$o6K-J?v$Bw?p@w?KwSLE|_2kZ%iCQWuV#x$J&Pva10^44)>h- z<;#>6Hl$)=J6z2CHuMc6mj`oe)P{d{{R~Hr{>S{;GDF@5)>;ZsPfCc8mah;n{%>t} z1Oi||k?*zMM1d`Oa+KyBW`F10ZDyZN;*lOdT__qUnaButn-3N=ho0q9$pj3|=Y{1Z zscU{wjh`g!*Rd4FQyKhbO%+_%GTRUvQ!Jv6y7&z1pzo)BUHw;&} zrH4^sNUxvo|CmA1z4GDqt2Ge>*2cGBV zS*v>dy{`g(;GGti#)4&zGNLqDLIqI|sYGYoWUL{`%ctICy9089Iugy8@h`06oh-qF zE>AhBg#rGEM&KHb4B#)2eF&5Lg`}XtbMJ_A@H4SDb}W5QJ7irCo*^wzqvXL3cIxmY z*U4*FxmLFkE*acJ1Gp7h9{fGpc@`~PopfrqaWPk%6$#@w$|_qa<#Q4v;fJCu2Rj@2 zTf7)(E|@lfRu-x3^SDb>n$9LtdOLub>?STJHz&RO%%lMLTIKqV@2;gv+W!=dpjuosg{d&qv(WYk?Nsc_1OW%t{KDzY zxu5{WdNRD`axl9A!Oe3tHY+S@E!zn?@dO(WnfWc3v6f;3CCYRHTcShWp$nnl4*x&* z;si$^4_OOnt|liRa`rJFtRJj$x6A5fEfpJ}pd+&MdC8OB9exL7w6_6Y^) z26!F$KX*<9g3{TML$WE=q5&d7>3{OT?8zR-K>0@&h+n0TVz>9e(|Hc$%3^O5*Mlf+ z226G+Bg~cF0@nG1$?Kbb&egGruc$aHJhi38{|FeNB4MgHd=0Pdt$&L{fFpSjXZwgK zDDNdaR4X1*@wN)HH!aLkg5`jR=Op=TQps&_Goqa-6oc#tc0Bzx{O=0b72@tR1<6;p zh8bL)%u!~ONW%$hWr#_&niomzaajku@_@poz?D5&mILN*ig&6q^%F?^N-Rld*3DOpTGnph?m^ig7?Gh{qiVx zhKT_J@HqzrUcmCd-2*2d=3{jwuUd(WM7wNrDp2rsPYEPLQ%&_OJ^D(nP#q99Rhc*D zRkX9YKs|gS)xy?ewifkHskkC8yHSaq^NK779cF6~&)750EDTkbZh2nvTV4wLtM`e7 zBdd98Bdt(HGY)~Wcb4S8BwS3fNVr_(4EGXe4Mikv?9Rv`#s30D2)z|XN+;2@n*@=fje$bvB0OnkHiikvogd-BKXGuq+{+RE zQ_EPTq``B4>SoGwX&b*`{+Xs~F)E`kcpEPD>Dmiu*(1#hleMBtiva-k*Rx86@N^h18##G$74Z zPQ2^QL{wIFpldh`Z(tg;2FhS__$G*4Z+QsxPg`fF5quQqiF_+(M&uQff;T0aa}Rc& zf0E@{9RnFALwh9Em2>Pq=d*uECR$w@d4d6>2tx~#lR>fZ>j&Pq76?kIEm>RM_uR-z zIRSF?+-eVX5bLh~w%J57^jE{V?!#W$6psFq`F4iKPB{f@+4BSgCyCH4o5S{;c;+i@ zBZ$_|SG*fU+do--pBPS9K>978nKOpwV+OqXDd$bW`j~-A(PJa$pNV|T9m#DDvaS!; zB8SLhqRtRfv~;^3OGKW|c@a#W7W#7jXDokhOTH4jH!r=arqC&ec6hrkRcQ=q0eE;E zwzsMr@w9bKksMK$QUXnW18W> zSFXKf?`lrD;_{)|e6&6^?m+l}$Dslh74nd^W6_&Qr$v)9F{Y6?X^X(Jgv^}Kx_QBh zAyEQ?`e;Nx{G26T`~O}Bl#B8JFEaOcQcNfA{q&BZB6uBzvifeco==v$?4Yqc?S)g6 zouryW^uBr-E6~asBiJoqcu$^CSaRL$)RHaAK61b%^b#M(XWxU~%2SomiOCjzJlO9| zggo65SDP|XMn$=t<2uYwYypU_#d-G=-qi&=C<4u3P9B(puN72Ch6-b8wfG!g7D>-^ z3>61V{8|Mnxas%QcG}WG{R!j?U9EI$W?vyq2?&ROM_xRiLLM({#5r56jta`X?B}Xp zjkk7I^OxN78<#84Syu7-*bxgH1On<4TYnVSySxXYqjlLL=1T2EBM?#XNS1+?})1(;} zohO0~Zwz^9T!3Dw^(Z^;?l5k{oiax>q&b=c^yWAs<-t5gFt8c}hgqBd+Qdp2^ z#KxKGV^$1F3N8xdBX^S~8DV@8>i}DW1y>Jcz6Y|(aoes-aR!U`M+jz5j>80S`y*z# z*j3x}(9XR24~Jy{CfPTOBmzYLhMT=$ifJf}e+0U*UIPj`vHT4K?~o88Nv&YNe%KEs&8AieID<0z{dU3V8Iw;cSAD#d7%LT0i6ai$TUvnk_yx~*zR$f zbW@!N(Q&E01)qjUweNpCn`04DcvBob$-Ft=#YF_N3XHqv41yy#MK4C>q&1cO7x@QZ zbgx<5B7H^2A>leFgcSIx3oIqS|6i)cB{l{#k*X=09UO0r6`S?Mk$u$7BBWUZEg;iG z1Tp*$4#~%~pL;E&DfwS67(@Szp!{F{eO&MOO;C*Q*lH-BVw@#ATH_=!Jij^PPn5bK z?x<2*9M?!wx%;#fjXeZCvK%3QFY*{*62wG{OrAT6uFy7Y>dfC)MJ&GdfTiPr>_ADQ z90ma_9fnPP#Yb>>%iqY5f4*4hz&K+RKhI%R5SR^i$2|hYF-q*$!w(uWQC+-Zk0unu zc}1lE8EzC;+zj*pg?9xt89+!mcAzx-7H_K8%I6zqs|{+CJzUC#$V93u8fG> zAKN#h05@Ims$UR`>{NKs;7KOE2ZJqyZ&v#>)7f!IE6_W6Te6d8aHe>UhPBA*gzp;H z1o@O{pk^iyem3ONqjr7oDp4KYV;#Teiqn5A+n)^NYqP?wfxqG9y0@RL63DS-cmt%? zg7-od_8D8lJ4hFU92=S3)|Aj7Lvv1qkn(&Br*J{56Z5JME7l)dX3zk&8IbFb_q1V! zZ&_(TvLo9}c}BHB3gt7Lxv;M^GQ$;Ii$=LCPJj$tL{gjH*iyP4Vp8g>i93bJQ`7Ye z`Gp|4ZR}KnyRe`gV4RIOF0FYbK!__AM*iF>j0rNg#yc4RC2`)#S_H*BdYELIm}0&v9tcg>#HpX^K4>n z5Z0eOBaOJ+v$Ovs$=AR+#Y2vH8sOn3qmP}90cE(=g)`BdFJmMpr&F3qQ2?W=a#rXS zYh0VVQfdjm#;h?T#6FHMVr)PvuAQK*_u3_hGKYdAFuI>o%(bzr0Nsh< zD$XrJetnJjs5%8DDd77XCIBQ+JU^Z+%d3AkhzMB5yy$MiZCl*-V0aQz7R0-$L4yiL zk3)L=7ROLa*Ri`GwGlnX=3FJ!-eJ*`)sML>rl&3bo`|D8yx#R~78(sDh03tw-G0tm z1pvfYwOmg?^0)x~WsX#ks8MG%Bw8VSzycmvXDO96xYg+OneXwtoB1IxQA6$EBJ6=M zKgCbw?$bw$#!mepk-z%7U(UegL#`l+CUea(%t@fOZK1gmLN#nt4k;s`jON>p;UDqv zaWn%-6f&_nc|)p#0@~<-C?tdVXcp5|ouaq*6TletLG>-N<3QZ87ih-V^HP)jL((Q# z(k)%_-8D}A-H}P5SBuB1#sURdwUws~AhJz_0 zA5=TE>l-zM&O|x2Ha^Ur?rr*^O~IMsjdm@&!@Yc1>34_{wQxiKmvvP^qu;pUg2505 z&5Yf6ewipr(Alm=Q%B`)J;@QKJ1OvmdNXd<5sk&pt-^VJK;jm4j=KU&!9=vpa>c;* z!2~K?8WQ&hl6RrkZ3VHwu^Sn8niD+0hJJ%wxts;pjA88pxq)3G3s%y3Ghp>9WZ5CX z&7)g|nOkhZL0!p}_gAdpOkY1GLOo7tqUV%2`|u@>6uUwT0R^!!$yQ%{7povwIGHXa ztC<b20;n*Bgp4S*c~L$kXGa?U=aot8B;Z++hBbP%mJPlE8sHumAyXVQUKmWM1HV8!dXObz z&F^UZrDOqAmwjry*$ysvN3{@)$5f)7mGdJNcmvvOL)N*7ijkW&(i#@b^Y|Oog)8z` zI2v8{r2n!!^uHDvGb`zqq0Hb>r*eT+H`0jLQJ6@gv@c2k%9Ib>K7JJtZlocHA+^@1F=aZ}U&=FN;O*S%)$+@J^AXp0Y& z8Il;1@3{&IYgReF4hwX_4?p1Eyg`sJKUp@;iXdjFo!<&}{S;Ne_)Fc0Nk(aL{;Fh9 zPW5QdV-FJiKT^&g-J%|0_d!2(O9Q9$xd++3=|bpccsyse>uZqYT_kv`mW*_kteC_4F+n$p`Ba8{)$bHJ~KXx%}mMeg8XOX}x`&xK@ zDblfPES?@e(_ALSmMV0;nTT*OvaZddY$;Nh~C_okx(7 z9MW5esY&cF+N8G}amCeEkN*UVmjxZ>CJuLwg`mCb8KDl>Tf&h6ha8e+IS8c)=CKLm z5L6aVw6h;}q6K}}3()aS*3Rju5IuLu3c47XojjF`hoKywIYs4f{-_R>0e`r6xoAWv zXl+&}VfxHC?(*3Sr}zu_j_dvkXeR*gIO4MoV`wVXCq9SgmIwhhWynSN%)}!4Yk41P zuX8s_6O4VITD;B6XUF`#m~9iJmGu7iYuGQd97u7f&&2!AM>)(rQ;?Nfv9Xi|@Cq3S zKT1vx)HMJQ#iDX+$h6nC=k7kxsfc8vD?mmVW$gF5gw|04`kMf#aV@7#xNBjiD(+*} z94*;5G{=ESnLa17d?Za%lJpg9I3joB8|R8sE#CkE-~g8@37GOwt7jtiS6>?2vlAqB zFSlC^u}#e#fmrqNll}1mCvJ!=CtdT}Olp0eU-qoWI!ARZ+5*vh7L}M?Ap%pF+!bhn zyLPGKi(f|nRrwx!$EAbSLGpVT*zA3d|9)HM^DbT;os}dVQ?><4(jdMqXvc#M9DnZxa;~(Lvb-J2`|(Qt z8Cp`+OMxZ~%nU$Y+vMpShT|*HlIZ64$fSu!&V(G~3?E0wfdpT`3zvdic z?u$%!y4W)@O_dU*n{1i>V=;;%+bUT3pX54b(q?&Ea8=4Tf11D%}OW6)WibR;qCNYIKnHfvm2R0O7y9v4j%Bdtq%rT)N#Jcp2Le+qa zYdSY~>lRo7UJJWpCK+>BS6BwuB9jRxI)pBn@azYgm6e?_4u^k1wb_aTGN?Gd@|YtU zGATLNlrmGNCkg5w#fu$du5*m+uPcsoi^L=~oOBDzy^b2kib`&6@j;8vcgeeS4Mz9f$()K(u z1n?0U>_!u9c2};1IMa3^rA`D^kG%u2UB$sOH&>Tz!0732~8;;0t6X zW}O-hksN-_$z%3lj?r4&6FTxs%?+6}fGe+hf|DDTFN2*iRc|EcWM#`ue@hh4oHFbJ za_BHrTd~c-dp|X$_52cr=7$SHP?a+AswD3Xc?0{e{f4W)bU0A@ z`Z**XUgD>`*kEhs^$5`v5UD;E)nm&v^xz0460&%xA`KQyZLFAH>18d-_2nB43^@M> zXajA7b>$4DEpil6$w;?N3^4d84=7Vg@Dm0ATBK^Iw_~pPM=Bw4B&}A z^O`<)F;}N~zN(-jF^hVe_5w_y7s1l_DO?RK0p3gh zIvenih`c`rtt1hHAllS$(Bhs-KkfLpiuk6URtUoMp~ZbJ5ja$wt+EN;u4!!d?B6GZ zS5t;t!A_EE<97PpJ5NKpdtJ4;o1T3k2(bGB^$_429{{2uaoV0iGX0ytStU8Gci}xQjs2caA{D)Ios(H9BGE@+bWh_%B^269BFH}4%24ZwvGt~ObEW*XH#BuNm) z1op4XrU;>d{N2rJ;j`i`+1<=|E2@aV>n^25A0G!jQ@>XaXZ4L63I#3+B|r-|x&4ck zK7t6D-?~gXyZ|iF^Oj;zB~bUha*o>9bCJ;T^1Y;@EsdC$)}?XJBq9bWCNJxasqd?| zh7zqZI=En~wFu>GhytdAn{YSpLZ}%;1I(ZtX6U(M)1ttH2}7iL#`9Ad8CGo55^u-q zabh6ZypFWhx3i~s~kK0D?o>%Dp z63D7Dk?$`!KS-f4;JgdMr(i8DRUz7TuP4?M121O!^$|O6w)ms>1W#>qe zl^N*@2VR)QycZ*rAgUy%JT^ky0MEuXU-HgG%Yx~{_&v7mi|d~YiFz1KFfcZ*!lcE` zZ2WFjGv5YRfj=ghIZb_u;k@OZJ>MfK&JEw!m6a(kx^kNja~6*Um$HsjWW`T=*w!%y zO@t9*E2~*Y=C>Ga!?8j%-xcA@5esec$5S@`bBnvTx$_o_cbwvtzn1XEj!_+T$T~xq zmKS<_6Yk22jO>sg+nEieig)cN-IO}g{4^sO-IEoyck#RqR?lAIJ@>SXbI%*CX=|xz zt_rONxhq-yIS8v|-WNl};g|1RNL2A_l13u{!M#E39$KE{gfVSfvH3k_^B!?Fe2ap7 z2d3H;0q89VibV>gh1gZAEGi!Dhwd+=w<({S6>r&l@uxw*-rXgR#{Bi7_=^5aHyxX~ z!Isq7;_`*64V=`R-~{tPSPTy9o0xI<7w{kRhV?yWGra~ShpbPt+zoRRm?5@s$DJ(& z`9Dr5fHUi1oNq=6q3{@$j4rCyXH5z~*(n5$tj7jHW*R(xKncD|WDVWeKWuUnXdw`G z0Yd~WA#3Va9LNKuxHAHn-T#LONPEa)>@q-BPgP!%C9e2zBva)^@EjQ%y=LaMbKXEr zNm>1|w?YZcV;Sg7CGlI}iGiK6L--*pIR(a{TJp{u`t~|Se+0WATK*=7cN92=^iRu# zqUIzzCG-b9OUVmk$a)$lGukR#^XJ6cT1x*boU~1VZ%_?a;C4@YX2)cRkMxx&Qd;)~ z#&$@^>D|C&T_8E{h3XZOJ1IOT-AI0rogl}-C|WAE1sp}t@iFEJr?7C!Vtfq1#$*JX znB=9)@|~-HvqAm`CC4rPdnwP;LA#uoZzKV{D#>=V^A;fyBL*EOL`8&=w6AukhkS3h zjp@w7Rrf3=hpEj5e1kq9;PJ`nTf zO|)PGp}RP37Zn}p^p>4gS2u=2KF)KesR~N&i<~6Vb;iEkn$fDkyW5#e4x#UAbXBoD z0`Pr;hI+eWJ&O#?r1qiCU@ky_6HE@lQ61(1Y&$C-` z2Y`+M2LJ#72LJ#70lR@FQl3=^oW&sxwG~pKG`8Gl=LHjgt9VP&D`(k`7#?Ak+)9R? zQa2^W*PpH1H0>IcONkV9i%}RkpT*NP69Lhk7qI}VWhx3`?m4)0h)q-wDM#Z&p4C(1 z1rkB^8-W4oHw#HjIMyUDblw$c-p8igh}oCWoA$0{msBeSm3I_WOy;4%dEV5`A7_(L zEPx|@oCD4si2X>`OFB}Q(Ax`NJV>4v+UM%`wnmVv6&<6qZhJ;?>^EkiWcLP8mVX$3 zxY;Zz&h^Z$TlpR%*&V1t=e6}hBmcEF6Fz4@z{w!-c^MZ3&|I{oP*MDb(+ul~F>MJx zXjTgF8*@nHFm(;aKl}Q-4UPUzMd`!QNHzCg%0|Hl&!&_Df9&859ik=y$6zVKt__?I znk}rO)8OLQ_o2Wuz9vcQ`$@w`ir>xTn^X+pCQe&pc z^zNU#-6{Koj@NEl;Wn!q3YO<$24? z!IL)99*|=q0W5|B$*@{-$V8gM-_$I;*>jARh!(zD(Ntu9 zihe3H4hVa4wKMmV&Ap874)MNeXQ4tC9#<$JoekW=Z=u0`C)wxSVQXTpX$_@oS~LpH zPHiPMJTWMD#5!AB4Bkph5Z^DfIuq9(D)u60L$Hp`M<&=*=mSrRZm~{^VxQZ^D?4G9 zN0=-hTxv}-K^VM=amrGr;)ZS{M8qQA^ne5709W?BYtxl9!nbaDeb!3@9PE|Sr|#SLhaISytTtw9BZge zI((U|849k!cB}+s2_MyZrTfSXY(!^^ez&lE(TwbD6t7-;1mk1VFHxd(`zJE?--XtR z4*T?s&dD7D+Xv{TNwtWa0gi*zae$@)=n-7dA;A4|Ta_Ei=+)5dHYlg7wy(h%Ez<-^ z$3zp@K!GNNgOO%-lgWquaaT_xYWOyUF>(bX3UFE-#B3OmQBD&xYEsgV`b3^X7P%Fl zd$}%Rk4b3r4$5G}Nkq}J(dd~{5lsp{hizBYC9@OIs^=h^r7DtK43zw{60Uxdj`PEp zI(JgkKjYLCDFa;&r-O;-Gg|D|CoMiIDvMU*q*^b7oc8v~dTXWd^xJG%7Q6U{ie5b8 zA9CNDg?L`2%qi4%svcO1-9{DhnBI{yzVnlJ);5(92;d|?>2-MtCA@o<5lsNl|QsRbzvpW6bT6GObveR8GcqL$C5F_c`)-FLQ@!~ zF40RV&Ndfs>i%uL5^3==3LL0aBL$2$jLCoHp=2%LkLwQ1Sm=GJuB?SF{avKvAJ}|4 zy{zq~!$UVa)7o(YlM}=9`nyD#g@|7ze)s zn%?qM!L6cvpV88<)MUWf1eqGoMi zm1*-$ka#i!pD^i2qra$F@6lVrA(BG9;uwvOZecC5QjN=rA_b$Kmz_P@pH+7wrL7qs(NILKeu!M;-j&Wl?URxwHoKL^4Er&H~lai_mXP99w$ zWgTc>G1i~4>UmPEpFy3cLMJd&6N^-r%$5Ad1cNtw+-$CJMAI=A^t%PNoto&rZUo|! z`g4$ownV9cm~m2B@Da;s&T|H2Pag1fQecCIe5Fn9U+v+4O)Tunx`a*Az0D-Q_+VEW ze}!Nxsfu@Za4pg^O~a9>%4q%mfz=cn54H)r2ztiYMxd2rV;-4eI{n)!9&0n^b$_-z zFV2#edQAqCwyT)3xM_!;Rt=6Oa}c#b@FJ1_Tl^(m3fnb~|9{+lX~vJW@zXA+xXIKQ z3&^g$+ol(enFI9W8Uqt&-S#LbW{=-y!w!#@P>73Af3Bj*P7>_5rRd!2zU!e7v1hTu z{bLU1mUq0Pz!Z=Lw{hu=`){!jh-4>(o^e&Lc~XDrbKQR=rRiw9cFxZz6~Scq({G2N zz-+T(S}6G&V=TOuGWI-u5UIr7{i+eEyZ6_}lC>K}ASL=S68lE9&Res1hc_oXdteV; z`}Lq2YR_5b z)Wni*_*)+86y~BL?$1x(G+ps(KvaTspXkBYo~++8EjWuXMk^8HypwDp*33w0P`kyc zxd0-Zo)OJK6TPo>hXk*T&`}&Ve?4;hxz3;5>-T%s8wPlrlzmdco>GwCO*>}GGpbd9 ztxCLM6wLqc1dhG}ua9gp#Zt8F!4#IKA%C*f&rw=%$wGCX! zb~fj#3=;W{3j)V&>@G;C${}qMwSL_uB8O$Brf6KU^$7G1s~HjW9;zIAI2*y)(z&J; zCuRw#_+S+0$u+R~o+k8UPd&ZWP@aFsgAP4!<^P1kfdNoDz5b8W8sXN>tUid~xX80A^-e84mk=tpKDiWL0nDR7 z=c2YtQ;j(hV>)wT?=r??4sVJRY5yL3b8cT+3D~sQYf2#>Br{^}>FY>1DBCCh!|@?z zG~Yr- z{B=4DC?b2@`@sp5O|s(d8v1A?t}pm)BBCiw*&U)}kqDPM6$l`uX7p^;-H^^*d1v8= znM`&FpUMhVy>NKiN5>=lP6rlm^Rn?$F)_qb)O>{m_R6Q8-qHT<_1h!1&J_{i#ka3rZDg&H0?K9-)!b0o7CUAEH& zW?x6NczrP9_3H^OkbG{}uKEpi_T*MZQu>wW5Avw6@)1PZKQqolP6t0q1m=Io1;HoO zrg>xpxhdrQ%@M{SFZnX#7v-r%`pKKemJ_= zW&awzEvL`cknpE-;{rE@C6fQ8^>+iB#v!4Gs04?yl9@ZT4+fh# zG4MxoRho}ZD{{6$G1CO9};@qn9u%a8n8-9$hN(}zNbm7Hy@HOX@$uXze)KMbM>U1mqSkWHF3O1GXcCPO11!}8Q!}B z7VVd-cJ~15?hnE4LO4!oLOWjt?L$Ga111B}tb|JYpS>b1QU-I>I^wqT1JhEL(aWjy z3BJTVz#p`7%0#;w6KY=Chcc5}l8q*1w7>Ip_0{ATp4Ifs&#ukxGR?C>+ zApbGN_TtgZOw)3eK$6`IB>_IRcA1^^lz+;Bg6$O71F9H(Qfz6u&xp3=F9!bPl{|2- z^s&d$%x7}NOtELZ_rzWz3F%$z;^@u>WwJ^*OBow9_8^vPmmU56P^CVCu0z1K61t#s z&GjZr@e$L=SFtMr1pRx1u>U4)Az-ISuj(i@=FA9xCOU;)Flxc3GQ6Cd0iYX|!ewcZ zIkber)U!UxW%a;ck2&R`Tk#548Vm_u<9V_XN$yViWxAIvCyDk61c&KN=@a z11Qk@!Y#}pxBEXe3DP04FRo`Hr_ChR}3)~h2&DTvqRnu zyezF=1v^=dr6;zJ!epSR)Cp?EJz0-X%HXAP3H97@EF1qM)X?!VD}RH&ls6K1==?cm zW&Isy(`tvafYD>y3Tc(!4PnEBbreP$NS+x5LP_z*_469*FL>}R4J>~476rB<^riUr zdhLbR8mDkm1Ik_2R^cbRbGgt@(8vGa5}235S#a6QLLH8J*aM#mF@d=OysJc?Y;M%T z!y%cGxUzZ3Jb$UZ1)Tn$)4K|{erkY&uiJumTUe%}u@B#CpJq8V8j932@{$D=*d)an zRE`5sw!9ap=JBF~wVMq-2i1K;sqVf*`;y0_vAUPcfA$9&WcX&k9+ROzUc5~3e>viO z4t>DYip~AjW780NNl&(i2=I@vsdc@IKlZ9s3Dqm|tuU5i>!779Ni|rSJO{O1(gC8m z`=~chCp2-$RQNYfurKfwIzq%IB`01JRvG{azlWV zsOmnyPw~0nIyNLoig)R%hk%O5isf}eH_|g=BCCNgoqi{*atjvzz7ACdu*Bcd7&uP+ zii0bDYeh^$>IpXg=({i9D?@CM`w6d+2>vB)CPdmGCBo_SY)KJgEF0MRzyX=Eph)px*)Ls{^@j@%$%MRQAM*ygjI9(A5PO%de$#+oKLkDH zRMfE{jtS!z3kW$o$0th> z6A~4PP9@4QPABKOTYgoMz|vTWD}+DHbk7jBOU!PAw-qjtl4JHgK+%PyT+09=0&FwY zxA70pLo6r_%^&LOgrx_e&UNv5x*rNg?3W!nqJR$cZS&J&Cyib>Cj^NB6x@StV$<<^ zN&a*m!7tmKMpR%jkDbV*>0h<~rLF(SB=VKzz6;|HOj)=pE6z-9nRXs{=*sJ8#Al3G za`D3GhKsZepNdLb@CA1)Ld9}@)=o%(t8zE%O(bB-m1dc`{rNq`@>GI}v|R#oGD7{3 ze*=#Y91GhnYFaTI?S9FA)H5H=x=yXIgsG73aDIss@2P-@1}-F>(D{LZkHN$4+g^(w zH+cNMS$rTxer;df2|K1(O92C8S5HPz%XRZ?Ngf!|tkA9L)ppfiszY}3b~BF#nBJ09P}H{^GSg%NO`=kH%O~+E^;exr08HRx%2WR@ zZdDldW8Pa*K1stTX>F|!o=G?iwfuj~;O-AUsK^dZzDV#v4-==!%MLBI zrjI}He1b53GPGk`vzmQ%5VI`@L*~*Gl>{>4?2YGiHzy5l9qlrc>75DPWg@(JXYAh! zflLSC5sl2V)CF_SywDrYMd^Dvu4N9v{nD5hbbHkwbkIQH`|ZDsv&@XHA??PcW9B;A zb^On6(Mj`{oHx)$UsymIgrd_g8IcPDx{#GC1WZre%hUxoSjF6ePD_>g=V3OW_@S|} zI~zTrFz36#YQlMF>VKW)*Z9mEQx|Ua*5PN-;0O6jVlw-cxiwkQodt|!WYKqM6I#`V zg~a;*>aR-OivSv9(a?yve&MOy3Kj&rtaN>RArd``Or`0yt>-t` zo%iY-3ttgaYEzW&`H<-d%z#$CrY95gZ5=knife?mANj@KRgCUU@s2vryu>LQWz|VnQZLCzi3|Tc<4ys_OS;F1r0CT8zZNR1ux*?gSz5WV z!lcNhr!*sKgq@Ipn-1ZRTtA9&yo!TLOH~7Mr@&iD+Hb7l$sP`^-V=&2(94s{8lnc$ z>1qA^Xk4D^b(0Ue&2W5@h3^6bkhrk10A%u>4(E=}M6a+YlruWPmCo8D8!iEivvJwz zQJ!cG5xDKJh7UI$`WF2|Y*)K0bvO&VG%`21^YnA|gAgJ^NGRY>|!G5&yoFN)~4BE9qaN>!7MYH^C?on4axn~}dsP@C0f^zzteCZz{ zR6zu-@Zrt0Jbw#SOnrgvWMeC)CS8TWwE=7JitWF*dO)Bf2mO{rsNeN_?7^OZ_RX(6 zo{#nEEacj!m5rC=o&qRQhIrqO_O%pumF7i@NEpO1{gdo z=oC5knJqE~W-ZfnBrP|XGeuCrv3Db^{wD%>?JrUb&E3zK4*eCw6R<-XO`|Fq2V}@p z(DUj{$_?tl_*H#}xW94Y=Ent^*O6np;0@oO9?ZmF%jCUmY!G58K}F6zZ9BZj$PQ#0 zvj81J$6T0<{ZUQhk^7z3>Uyv)DUf?(u3_xges}L~8UKA*Et$~0;zj4AWDfpaNhHqah<2e(E)J9XrWt5~toiigiDw|K0pgx>?CIhjH|o^ zm+~$8=M72c3cO`Vv38IK+I~kZ%_`G?hv)CF4{527j_u64J7=Frt*CtKX)G?AJepL? z6Xx;IK|P{l^AJ~$cDRG1Mj`#)nlekFG<(ziC%NAO5QgxW383#Zh;kF*WHC~bgKr({ z?_GjWi#6PMgFH-81+*fQO*WXUYnVmWdU7ByQcZonkzr~cBdv&?Pa!y0U*G$+t{M%t z_M5Gpy$ZDb4D<0ir?>8shm#iRk67uQk>mg59^@4Otg-e(LbhlaA1GrdT_YN5dS=WI zWH5EPF+^4N7e%>@Kn|rU1MR;LecA8lB^gXx+>GZH}gag}(n>`Sv zfsabG*CFHY%|7Xf=Xa46y!)Wi>KtVn5Cu|C5i6J)*(s*BeAq?)mVZv^A!_Jq)i<}V zc#jkglY<4vFX_qTTYnV{r(=u-qEvEja7T=jw`Ptx-doW>%&DV;x)g%+Uj9!~1i+Yv zswsd37MA$v+hn&z<|yJXGljWIV8=GL#Xi)8!gPog`&FcIz9g8H6j8s%?7AQ=m^lNK z0&3Z?vH8k*q3q;q+TO;sJ*E7yNL|+-36h^@n>Zi;;s6`8NeZ@aG9Bp@6vJY=aC2ks zXaR!yN)(VkX0cB!nu9^n<+c>sYUivY#)csE9`e)e41IE$v0F|J(xuATSt%`$a5WHN zo7vUDM8s+{?pO-!da9fWYt`lE=-;e>g)CtjvaM1cUQ05u!))2Bu^M_qPbK@ z%bW;hqn&=j05e02;aNzi`08ovsGBw{J{~5_ADS0WFdENf617v}#DExMrlK%Q$Aa&C zm7JeX6`prQ^@{5W4ORKK1y}QDZF0a_*XrB7WZ-eQS?MZ@BE2WV9l3Ai@Dt>P0WP@&dL)DQM`|45T=KuFSmGl zuGN@Kw>kbXKw*$w;#yQFK)3XNp;0ktBmZ5f+vY3FVo7ImoI%}p^rcB^^tgzV@nDBm`3E%(s~)Buh+sgtk2;+pms^Agm##p_Hw$vPjh zB&tggni~3drb^%0b|eWO=gH{ZJ@yuYft%#>ciB!VCzNw<1SMMe>>Qn$t6aA`y&||X zpQT1~H1Hi31a9$JvuiH1;2S^%9(oLCuXMl*6_MsERerKei~u6beBcZ*;uBGx@2XTh z$LnvM{>Wa|qN4R;HtohKxk6y&9t~5pdgDiYj)|a|7~-rkeKX~jZdtCA0b|Q7cM%GP z>6w+W%9;cn$`lNs{v&N8Y#cC8USRSn{r7juo3#-WBm~?OKR>)PD(1;)v7=|}m7>p1 z{QWpc206pytJRMH56WF?*-?pR4kLzd*uiX+}N#(Algn;Yvp+x7d z^fcALJ;@(YKu|DS~dN{65Ct2C!15F1?SYfSP_~K9r z=G5Y-EYO}%z?p9@(=z=D0$%Z-e`xhrUl3zg4{&oyGno&h*Ly7Aq-DF0~SL6JP@0K1wDIPJc9Xq0R0HVW;X6 zhU+a4VCXuoB~R#fhfU#@gdz|6Fd(vgabjrL?DhIxEq@ip2-XFrjWzf?but&kDk6X8 z$#lG`{6_}E>BF$Vuk{9z6&Q^A1Id0tC|<_U zn?BRw@L&@rqZh^D%u1K_=msL^c5mxW)O*|3)ULyF&12!kKM{=9W*U&;J8fz!idt^E zWUM?d3ud_5lS9vAq_%`HjgWyir}a(qH8bHDsN~b=-)LQ6NxY4gfsLtw_k@_31FH;V zTNJEtLx-(}g{q8_I1bN@F>dPHLYegyE%WQ9aVZn|X5+1mrpbgF2UJ^ax>5^e@~ zEFa(d;iiCUY{}P6XKYuD!RD%*QF>(s+zg8ND89FsQYc$5PDcWu#r^6c?u!~l`O_Ps zt)?X8j%zP?d=M2`5mGn#_hDNhX!B|Hg-)cvn-Vs2>^2gftRug!cJyj7mSoN*Y-ahD z4!FO4wC`@681?wp4AFEOM9{8YB+JC^L!X?c0rkl-v-)3{XWD(3eM`SV;JcC;vt$si zug7-{1XzGcVsFxjN)HEcaZx&xil@xC)O`tyeQeXtan&?tt5cmxU#WmLGCB#zJ0dhBkY$rTSu>`Y*d3+VZMrMSz9XX&Ws2UQ zrv0`4l!1t-2ykyX)*QMOa_knTNImM7jtgaNZbTzDe0n2qq{{j+gayzb=yA$1VPAjL zV7XrghUG8&)ewYu?OoVz$RyM_j#L5SY)Fan9Scpxz%RQb%*go9)#ZX2>{WrgEsBqd z{kA1wgxq#~M+mJ3U7Ri~qSn~Y@dr66VPTk)j3`au@4o`1;9wVxsz!Z3CcL!KX$ztu zOj#;&C(NN#_jUWKG|J7B1aS2g_A6p)e^72b6)P=)@c&3M>4Tt>ni;{%{=o44Ckjw5 z9Gi#GhuIvREyh*6hzqtS+45c8hm=gK{jcG7@Ms+Hg>Coz<;_8r4PE8`L1#?A>xYa+ zcJI@)9+%#Uj$ttkNPL`_J$1J%`b~)bPn28roH*D}Z8I1>k<7>A3yRf>0SuK%Hm@#I z^hN?kDkr-Uts|RZHRQ<_d{3I!iU| z;d3-cG7WmYVf@!>6b!EK*p;fa;o4MbVkvrtm$h4WPfFb9lzmnga|a5CENDP#p@&da z&3f%_)_p6BwdI0OH2hbV`5(7v81QB#ml80*Yo&NEBqP|$_rcg@9Xq!3AnU<>1J=T= z%3&=rOA{jwOkw@&VwU2!jkO3UtjeC_3_vB-7L?g$k{hph|3LYr8kF-_4>@n>jbf(f zwQ?7$elS1!U{3PF0#&gu@WZ77qXabl-4JO0?+aajl1y2K<=535i>Ip)=JNJ0hkbVc zDi(>sOnn)XkgpapzDU52YyHcE>7z*#u*5|GPdGZMoFZNe`p@|cU99*e46g>o3();g z0=hY=)5t2jiG<+^$e`d!fSJF9hK$;e!NO+z%h%3_6kTO6Tg5taNGh`Wu*5VEYJiBp z#y!d&uCh`(SC%Zbc`TXq&@>vZK}MAl2u+N@NC{5a1KytprdH$ri^e^#yV`H~EkJ}a zA^gkKs{hP+q`nsXC{?)l^xqEDZGHU`?df)Il6V6HW$e+{MuJyf!HVT%&?G5XK3%R_ z`JR8bbkNVYy8MpH_zOl->FqJV6xuQsA3&ajPuY+`L}I(I?{^VL>XgNK{rxTwiu*xz zJzLd6h6N;YpG~|omoGYS^|rhi@_pM!=hli?e z`HT-Gf?DOaebNG&UQ~bdN*9NK4UD9}rv86uI_!@P^2fWisySAv;pM~~Sx0lW>a4ZvY+-@zh?n95 z`(I+N=rLYwe5H{J_JnW2gjWeaLrP+J7q9@>-0jpF3vACj{nh|u_}MACaiicr40pRX zfz6l*JNvaL5bmpgK*Z5HGP?_3Z*x74Gy!cSuBA1k=I6s38!N7X4{|lqQD3@_NxHsn z&IQD*`Uu~9s^*?lxaP~O+h=${#)2=z>h89S)JP<_g9XD>hC`bb*`GuU0+vOxw8@aA z%jiJqXS2>5qYmiz*$sSs2YhDMKhv*%^HwZ4k4WlG1OKYtrn?qkTDoq9 zo_>t|;#K{j5T6W`&hWIO8L(<#u=hP<0ZZ(It-ZPiFXh=e&1hJLIS)&nbRbGKG8}M8nB(O> zbEWYVM(JKc9q2G#pm!W!g7D~k$iLGH5+MeeK_6jtaNEz$WHH>iFdM%@wOvW5Z_cN$ z_dVt|qv<39?oz&7mp#l*9X7oMJF3_<*BPy@nEB8$EQ;|0ZX5V|@YjyoSIa98OGJ;a z|5A^xtQE*lW(yhmwWPTJSHyDk1#s>Ut2+o$zkb!a9u~ZM-qLuM(+$p?u)?wmS&P|e z#sTm)Q+Z<>h=YByYlVs*y#-G;6uw159fb^;=(nMxUxxwX{ z*QADOnjMGU{vi1Q5ZDScv=9pN`4N?=9ga&R0Q!WBLN+Q@LY9Ku6j^Kp?O%!+PsNM|65Y`YyuZMXmNfqJaI)B{vmQ9FX% zA{y0;aYV_oiTC%CgEi}3E;rQ57A5iK;y)}~!hRn=83%uAsqf2ebFkCx`!_Q`8~jV$ zuPfc}Yv^J*^M@t}!A<9_ylYX3ASrR@K{^Lyq;K!pQVzisy**e+@majCa9<8^nwg8` z_Ok`FO!A|HRAb#ShCqHBa~a!~7B=ncEv51dHpiRLZv6a+m#vSG;0OY{^E=G*fqRd# zlA#5KGP~tNPO%*$589*J8FM}P+;f-kc`Sr&nAJZNB2_vFkqUPf|XD-DG z6)P}U>-zJ3rfnFpDd*lU&@&XdH+%P3Qjlslw(hDa`co{>)D%kJfG=f>mrrT#8~=s7 zzUI&S2Kybo5J|0P>Ue{U2K0`+j(s+nvp9gHf0NK%6{WOj+50+B6_-L$W_1rkhyn&x z@g$*)2+4ZFe6xiJW^RKe*5v69g7gI4jngzc|Gkoa;xT#4+)tw0mCW2m?ViU=i#V4( zN6Sx8@^{6OU~zvL}0`IP!dCXdB0g4T}m1vY!V>Pq0M+AK2o`v5_=o zqgy;71W}YmRKZhil4Io8=s)xldp1n%l7S`XiSJE$dWDn6k7px8O5vw5ZoP9uJ1PuH z_}g7*cx<4D3oG-1`(Su!ZFM29RL?BC>(+dW2@03TRis#8j{*tQDH6()*8kdI6JA@i z5=Av9OjH!3d$s*Au>rqlL%m)ITsc4Mj;2jL{0d}SVR)x>>V??sI!P_U3;PnPE?ZWg z379|eU%e2Q+dXhS&+5%qGJUadcuv?dI+x6g&p)&>(OG01^CZzV*GMu6dRh+If&KD|}Z2zQ*hB}DAa=>3maVR~dhwKFCA zlcI9RPi5DGp0%E$qaH%7Ee%`B57DK#qemDY;Ec_@zyy^{FVB_4O#T%^X@M!E5W^~t zz%w5yUw9O#0nTdTx$IaNj9Y!_q?FWEZ4cBYQ~2aQHBX3QmJc$h7=X+clLOW43^#ai z9^Lm{R2yGCTf|ysAM)fEw#@!&7%aF^o1;)M)SWcv;>F04SZYx{@5cN6MnFGDt8WKi zpkD@(?ou+gf`wb?kk`lmLochzUF!*kzU3T3e^s0n!O_A6+r->n8W~bzm}DUA0Gp(C z>oh zrn?s5M4Y}7?tV{fQ3wBKLzv+|$M?PTPrm*a6b`(Z++M3;pXd9lT@9B#^nS5KPCu#S zo6Ps=z9w8QWt0OPb2Tdg`HqF4@0wBfzw_L5OSfz>wcCtoD9%5{2aVH#{5k0#oNDOm zjeSKpAL()A=|380HflHgqn|-dznZmB+D~h?DDUYJXVWAzEW47 z_x;j?RKTG|9zXq?)r(g~=pJsu_*&C&8R5?UIQ5r;KLhP>*M#8W-vJ6?xi$W_L>&$j z;LQ1&(wN*cSRt~3;IQlTr6mRg5UUTIy%qP--bjDW%7j5D+<3R_e%XGlRzJNM3%V-? z4MHM#ojOb?hm$~g!yF}0sAJ)_07qtUNW!cVABVSRYpQ1Br+x%Z^CIb#;n`#|^73n<~ z^MPO)5o5`LzDgl%fX|#wIW3gWPL*xgUvX387WJ@j0?gdiFTQwK?Si`izx zGDMvYQ-SsQ)-AY2pS5%}+*tRsCKm9BTo3v+$Zi|3>OEz*;2-wK@kYr!&_e_*gC(zz z6e$HP5bjW$40Fi1L_w)P{WZA3zUc_IPt|d!JEZ0reUU18m1%M*jeK?ZO0yvrCk&K*1BA1;pVSo6l|HTdP<(5p;5CCNa;qoK`)kiHPmlkChXDKG<6SzN;A63_?r1XDZ%)+te!wbT>Wo*W;g(STtG?bG4fO{`3|L zrvL6rz;D+~1$wTBbUM|+r)XZ}P6%JCMk*e~O7&Lf0(t6S1jN~2gtfJBQTcgi z^p59FugX^8GlIv#)4cmF8Bw-TWK@%r;1Rm zCM{(CPG(*v(2%#pjC5IDYo@zZ{clHIKJmTE4Intn{p9w=;9C8a?TnSKnuE-O)U(Vr z-B$-v=Q6k5o=+3{e$;)KcmGRv{KYK%V+vGlY~_W=;C@6Icwr|fEA+WF;56@xuU;3m zYh|TbSXbI9^R&C$FUKcf0G9gq|3Oni1=_Z4o_gfmj!|nSSE$j5E8YCbxV!Bmt^|S+ zlDFx#bn*%wzZ%V|`crG$B{)nIlA1aWZC`T#JkWyjnBmd{ssclWrMUus)|h83uD-e^ zx^Wal4jiwlaOn!*2i-R!9h`8Cbw`?hAkcM|y^b@8L2~;yEW(03P*4_tN-x((ro~O; zr5ARts{B}rLFV_+Hsvmpn4w3?`Wk#3@H$R9owWUvX*0&FW=qV)$0JILggDX~vcxk3 zY9}TM2J9a~K`o+Jii-~P!W&u4Pvd(-Vuy@i(EP1ZU+~?Ir3YP`tS30gQL7vNNAO%+ z5jWo}gE(P&CU*?O>33}z=pev{+plgfRPv_3CngcboSOw+psXL{6O~kd$6)IwJL1Cu2e}Yv@UgynzOImzSJK-y`M|-UlyJ zGAbuWCfMAIe>R;P`R{wE%S0X?VCUNG6wGZiN^toEcwqAvJbci%EPbL;jf#VCP)$SN zL6sjBKJj%LZ=^2~y-(;^59eH=#UVF=o|Kl{GdB-GJZN!!FJKyZxPIL_c+*oXnJFXw z%ca7iDPLAWr=pRPn+6gahl}e~j_JR@ON|pFz_zjJmXNsIe}48IWlB&#Ap3Xa%rA!6 z$~L(gZ%Hq=ByM>BgqALtS3MIr6mhfha?zR%Bp7~Ipm~2F@WHl%IS!0$Kwv(8VSpwe zx25hde~ztA1J>)t_8LXg3Vb>Wbx;riERV?vHc-4fK^gawd~ACpu)u{-51sWQUGmY@ zDyYik6rN(XZnFFMNixgY43=F=5D7G9Y*c+Zrwy5JlaqG3|FQqD*e4Jsm8@Y)2#!v`5Wq=T(0CFtEtkP zUUpwl8Y(_#mEB^3+_VlhABBn=iJ>?Qy@apV?AUxwyk#+_RsU6;*}|Eof-7Z0gersT zOT)>=s~d`ipt6!hr)4@2jWv?$2mWJKVV- zdtd!>ifa+n1zH-KY*3@iCSVxB&d+4EkSx1GTV8^Ruz?8XLo9Q@CeQJ*9O0NPE)2sO zNI-F>NEXW+0HZUlpmJV`e>$MaeYRzWjf%RHCy>;7MthPhHkA?X8!4+w@?im8I>eRK z^u{Zy-xaAL>HM$zCl+z=yDaRysY><&w=N`i{Dz#=gb?6U!tlx8^-gIq@5(m-n1esL zta#3N(D&@hgnalvl*$D-Mc}C9WoWdA+-@8(!M1+Y;NLF2zuRU%9sLw?J{25KhfFG= z?{u~wPkHm{R{@TQo4;;!rj*^iIhMuJwdtA4Ja%`7NSEVRg zpiOz`L$PwunlG#*_Zgzx2qc_;4JHBzRF>Sbt=AqALxTPl?Tbz#v4ArW=ff;McSg9V zp@S6xnBT?}a!(08N+=$gkz1J$(jkSr%;{Jb6s+JcNsY0-0`B2IWVRV1csOQ<3v*9f zvL#~#ZAMn7pZ4|Jy@dRfsDZ+vkv*?g%Xx7Dt=cLYeb}N;47Z5BJ1R?++KF|e06vIj zmF`AL?&O3kMTw+;*RzegA(T%aCCp8&XIT1vRSF5DTX6X3=o%eD0^3F1NXsiGmbOuC z-??V~Am$>GB)O-8dYls|$GhB%;?eTNR5LD&4cC+YDIAxB@~K|Ugi-(iIyPRo)#~rF zZ`^Taxp%aqFZFSr@_A!gRnC(oHFRruAX4Vh(o4Bu|C{|n(RiUD+=%J?0}O`MbP|it zQQ!7!J(!7uSwx{ybgq2jWwL$0TZIA`!ojmS5a40F4bjS_v=rX}4Ky#+~&Z?E1 zlF^NvQgFlcC$YT=QvI#}mmW_XHJELd@jDQy0j7XBE(=BuwMSD z?q_9du|C&w>q^U5MQTe4R{EaYuE!um zmy3jNJX+ZS4{^hHa>+KE1jN*K4$Web=8B&FSvYLgK!Ld^3l@(WZ8eyZ^!n#`e6Xw- zLc{Go4b|K0Ms?*B7FIC?bKEKwC-Ep2&TuzCR|AMX-}4!EwCg6Be=927;I8kaTWSub z6nKjbo34&R%>5Top!yn6ZXjp1L)`1-QK~3n$yn(6j<|b(KPfk5ls6OtBxL_n$Tj@= zDb&+b7gkAS023dno-hK$eA`K4apoSa00fyA{=yvDwN{2~PdsN0Z0PHt5aivZP_t&Xy?Cgr`&iC>4&+D zqHT@({`u}*u6ret-0}S#hc?bUX7I?YSf^)oyh}e^(2Xt}daWb@fw^3Z!Mob0U^R=+ zP6i@yKZm~3EOeb<6K4c>>sIVypp1a7{e9YQuW2kuF%WQ8Vq=E8OjeTA1kgM zF`38`I|~WI-zmY*RQbT@M|n+)sr;W!%04tloo|ciw@m4QL!p;3XE>N(zQBah2Ys8& z)1N$SXCS)ob^?uPMwMQR61BUZ=yfU$7{?rjaP%wG@9yMC3znWw+aB_$5DUpZs^k$0 zJIAgu0j^K7aO9&I_hgVyq63s-i|^QnqSfs5F)Kpi(-ZYLgg_6&^#Nnf$WZdjqlZzT zG&RckMLWhCvX!(u?USj%Mgxe9+b2}l#a4V#sHZs$pdst)hD3#hzJ@=81@UiJ&ypEw>u-qA z{{tLgX(D-XqWB;{?VBZ z56WFnB!Otdi4{vm_y4%CNEaFP4f*Q<$tw;hR=>FcNSku>)K371knGo!$P-gFZDdur`Zz}+(vxf z3aKlZeZbvsT^$>gs0=v9WPn&kRp+Lq-V+e};}OHM*i-*I+ETCj&EI2-oW02#VhQbI zya-=9#eecMVz*BEHU=mfcx7?AdIxjp!xCOUM)(+^HOjKbh)j@qii&XUT_*gc(30Se zp-QohH8eM2IHWYF4QyAOmB{17VtagLu=O#1m(P10>>piwc4wR0*ksWl4QO&fpToPw z*vK>Sh!POsTFZxUM-jk|Hp(u2@`)2gfi_|Fk3pzhWoR~mDN}l?5#HmR!$QFB$?JEO zW?HFNhdeJ3e2d=5q}?ZaZmggWzX&j8Ds?KqDW=;D``1uh51XlRf*OsGnu!+lSQQ1k z2QgVo*i>ca`~4CAAj}2P3I!T(v&~%XovFL?4C220&!TIO^yX9HqbaIhM-l>3JU=mn z4)lO8*S1(+*bWyVyYxAkXD_5+P;*~IDUDF54Ht4|9$jlT#$F5KPXd>qVuiaz9^V?p zxs**b>YQOM^DYMH_nlK;6C88hJz`_6EnLX z)jVxhULAj6m6WUBepA=CC@ZoQTTZEw_+pOPY%!Vq?bvLR)$L(*j`8={VU>;ReTM7h z<|KKegGQepRc78T)r}OWV2R}>Rhcbx7{iB;bz3ZoEuP9MfS)MP#f`~EBr?;xwpJb@ z7fB>WEmY!Nii-5D5WKX!Vm4F?^Yq(ZcHANB{x6jH^Zu{a0`!cOn%jYboFwn|C`4#c zw={FhWmNl$XdVPQ8_IUYrcqxTHj$EoD-}b5QddOjmFv?=!;H6xq)*uqJ{qrH!zN~v zEZ+im!Z0)!JxN%s*+L(iU)Jdr@qeX-zC>8760 zwH7ZarLP(FxN_a3pmE*24;k~JWRQpck{yN#q(cgocWKAV{jZ(#{AR=9;y4jAW~dM} zw1@~XYS;LQy?$!dUa?2jC^1@Fs8Q62sv5Cs)vgu|st8JJ)1qpty(!hFf5G#-e$MIZ zd(QXV@8`um_k7Q}H+V5qKrUzZzGFa=2lyiHHY(xI*)~sc)R6InM2U74-|xcu(us`2 z5>r@k4Lu`Zi^7eGe|J;*3S=l^1y%+rIS1h|6?`Pn6|VTbFbB|f{A%*!`>=ovbx`A% zd!4U_wbzZS-bb&(|=Sc%QuTwrcb&D{Pi z`Ax&JJ^m5=$9ey|eyd-E)3z9!j3x|?U9U|^M{9z^(>4J_O;M%utae8?i*W|&O*se?o1K~ zK#elkKQXs;^opGmOV33wNf0n1tVbH4X0pZ6GKUcZeyyc>f)GE zh`Ln{Mxs=CnSyCgXT}Rg1qhg0Qfj8Rd^p=)ExsFv<`P??ZE@Itb*3O|r^1LR^c3Y*hu>631??!a<;*?i)y-~0?3 zAGEEqzoSpr8w-049+=I284MprzDi0tZCy2NXe-FtR zdOUmU7{Ez!lm;2F^RP{$X;b_XeoTct&dY)eB7&3eT#M_wdPkkzg-<;VUFM6NT5?43 zr?R5}fw*r={=(b4yN@GMl6?HzmslL%*^aSrCvETKr4LUsEU4bRhA|#gE=qgogV>bj zK-BCoPNnFb27{-rmA(-rYYtuk}SQy;d?HXJx$jEgpAj|%v8leZfJ^OTRoyy%A$WM!-nXS zPw?`@oT#bK60Yfq_Inx2{`z+!%Wsq;bpC5<1qH{j|8f|)YMV@Z`2%RZsJ_k4W055q z>j)|X#vbNuMY(;Ckdq&wGL9kVb^T;jQBxPgm}~SsaxPYAk66Vb`FioC?+w1{JvG7< zTKr@?t(^vg*3tz_`->6BeAsj{U4X-~W;k#C+d?D8SBE!TvkX6Z;HrYQKIx|fVoA3O zH`vwNh~Sg2%d`6Ulx61Hr)*D$md}{Bg=K`Ho(MhD<$|$N5WU_gG2Aq4WEReu?Y@^~ zf!kWD9Ckp!n|x;yK`W#eU!S}k5OUtkb7KI!e&l|3E7I$fmX$Gk=JI4 zGeHaC(c2ViWKz2IXe-&2oyZ)r2Eo}L8#gKQiDT;`Xl+?#fEGfund8Xl?jky>67E^; zK9FA_$Ht)NP9=hmQT!$IlkK`60fXDw3k}a4tH|nbHvWBRuvYlMBQBoUg#g zj}yn~Te99J0S%?Nhn-vg+TNzGUR5$=8I1pe3Y=#c=m`{pl(> zz7DYz+BKW5g=p`OrK5L?8?8=4`6i($@Pwl*Jq4Uu9YU*j3!N=|2*+-xV4V(VdOC5L zXCk-CEH=Cn4mm?p@OI+V7HiEOvZs&$$BQjRwciw#vve(-(B#NJ8>T|83-lq6S&Y-B zVd9gJl`ZXmIDLKdZJDn(7?rg-7Q1`QtB+V}bP7{uHj6lvp0+nm6L}b5*M%NLp19hj zMopE<5Q>)Tr<}5BI}@(dqbQ)o=g;L&DWNLs(qemu^h~c-R}JwtSbDNR;23JLh6lj67kQ7)%@#*hwOE?%ZqICY^Aj}e53{YltAT! z&MH|rU*Pd9jUZ>jCU4bsA-Kzd@{5=wVQJ+#o0~9R3l<1$p~uE0fE^?#a;Z)|t)37X z&LXSfkodEEFLP>hGAL+kLmYS4faj+F#9{KPtg5Hb^wD@8NU6BCzU}m@n3*@vmn5(G zZ~XEYae@RGC1Lr|eTDtzDs`dta}FsZAfBe+@TWnRH;AK~#1rJWKNEIelJ^}aaQsGB z%b{-a1u2MEPg=RsMl3`CRmYGdsXY>K0^A>4ezP0u8HEyCkP%`{QULc4A$g~Z^e8#8 z07l7UxLoBKQ4oPN_u|m^Mbh1V&@%UE9Z0qJTp4h~yMgxnF8!E+V*p!y?amG)rL24I zf|Is=kTrE83>78qK==%0RAfwBkM-DyW4`I^God-c(wR#|q(Kf3j9w7;=h7JYB$A~3 zMT#=4h%Z>d`>n3{z&MtN@HC2lm1pG>n+@BqY&?D-1|du}q?6x~G1RRB*-tnrVdYem zi8jKtY0wDF?3`xCVH8!ux5fY@zoAHb$c9@XTp&mUZ=N{`J(sL$M07={5()Rt)f{6W zOx*XMDno`@7w(4|>E$*6gKm%(d5ZW-4%`3}AL`bHmARWSf+JGbFj1bYK-Qyk6|r}YhF z!0j^rnlL$@r7){GnT*Y#)t#YK3e9}l&G|ylh?RuQQ~k#?%R4xu*#K)Drc;`6_h}|q zKn(M|vc5oFgZ6FK#ucQ&pQrTHXkQ&`3rUwE=l2jgb5L3Tn%3LN^uTebAw=ODxGm)vD!O3Nhy zCYwgG{k<(^258L#r+%szeUy=QJYZ6i2U=8zKt1A+^ft~YU0#^r>%Kw-z<}F5+ff!{ zd9e(Sm)7p^SPM-TSSnGUReDmaj@sMhrK3#MkA=Tu;Q6Mh2`-Dy2P23(ZBcK{pmXb` zwc!OkbfeJ)Ef%=qvi?vi00 zkJY;r%egd=9^r1}!p5iZYI+XmNxGc9Oh4~>@&To+n%fK;qhjtB6`;76#-jU6m2zET zb!KW2GuJkTya6)RJ!W%y599>@o>@s&*}pDsagdnw(B#p5YD%u7{9Q`7exSbp0j=0F zct+QzAqj>{8_h3fUoT?*wGMu&WKQE2UZGWX!N>KmY0k*)7spcON)tGm6eszMF8fS* z1<0Tk-g@B`$sRaIxh+3a0}+!w9cWA5oVVXcDn)Yw-y;c5I6l6iCZ?Zhlh4?@YE(`F z?@@H?U~N(9Z2qTR4}gLjT?T1E8)EA)W<3HviaP{2@l-!QJM?D^{F(m)GrklE^nt0# z>{OMZ+gjaQQW&7WC1v{s?q$dz<|rAJx0*ePobbHlrxjNk6`_{ZwYY`P zK_8L*cGz)phoZT#JS?OqyJ_w^Iq(0H_^;{3-{M~ae+m3w6SxTP$x^SPrE4V3@=J#V z{tSqX4{}T91;J*@pBS%J2nx2&g;0voDQ3>Rk hcvM8JW`bE2tk2YSt&#tN40u7tOUFP*4P^c!^dHEV>1_Z2 diff --git a/crates/jolt-verifier/src/lib.rs b/crates/jolt-verifier/src/lib.rs index 4ad91b2f0b..06fff59a53 100644 --- a/crates/jolt-verifier/src/lib.rs +++ b/crates/jolt-verifier/src/lib.rs @@ -58,6 +58,7 @@ pub use config::{validate_proof_config, JoltProtocolConfig, ZkConfig, JOLT_VERIF pub use error::VerifierError; pub use preprocessing::{ CommittedProgramPreprocessing, JoltVerifierPreprocessing, ProgramPreprocessing, + VerifierPreprocessingWire, }; pub use proof::{ClearProofClaims, JoltProof, JoltProofClaims}; #[cfg(feature = "akita")] diff --git a/crates/jolt-verifier/src/preprocessing.rs b/crates/jolt-verifier/src/preprocessing.rs index 4ea425956b..bc195c1151 100644 --- a/crates/jolt-verifier/src/preprocessing.rs +++ b/crates/jolt-verifier/src/preprocessing.rs @@ -234,19 +234,24 @@ where /// Wire form of [`JoltVerifierPreprocessing`]: everything except the derived /// digest. +/// +/// Decoding a [`JoltVerifierPreprocessing`] recomputes its digest from the +/// program. A verifier whose trust root fixes the digest together with the +/// program, such as a recursion guest whose image embeds both, may decode this +/// form instead and assemble the preprocessing from its fields and that digest. #[derive(Serialize, Deserialize)] #[serde(bound( serialize = "VC::Setup: Serialize", deserialize = "VC::Setup: DeserializeOwned" ))] -struct VerifierPreprocessingWire +pub struct VerifierPreprocessingWire where PCS: CommitmentScheme, VC: VectorCommitment, { - program: ProgramPreprocessing, - pcs_setup: PCS::VerifierSetup, - vc_setup: Option, + pub program: ProgramPreprocessing, + pub pcs_setup: PCS::VerifierSetup, + pub vc_setup: Option, } impl TryFrom> for JoltVerifierPreprocessing diff --git a/crates/jolt-verifier/src/stages/stage1/outer_remainder.rs b/crates/jolt-verifier/src/stages/stage1/outer_remainder.rs index 8af2f87936..4ddb745a2e 100644 --- a/crates/jolt-verifier/src/stages/stage1/outer_remainder.rs +++ b/crates/jolt-verifier/src/stages/stage1/outer_remainder.rs @@ -1,23 +1,13 @@ //! The stage 1 `SpartanOuter` remainder sumcheck instance. //! -//! A self-contained relation object driven by the verifier after checking the -//! Spartan outer remainder sumcheck. It owns the remainder opening-point derivation -//! and resolves the expanded quadratic R1CS form's `SpartanOuterPublic` coefficients -//! from [`JoltSpartanOuterRemainder::public_coefficients`] — the same source the -//! BlindFold constraint uses — so the output-claim algebra lives here once and stays -//! in lockstep with that constraint, which evaluates the same expanded -//! `spartan::outer_remainder` formula. -//! -//! The expanded `output_expression` (`Σ q[l,r]·o[l]·o[r] + Σ ℓ[i]·o[i] + c`) is the -//! distributed form of the factored quadratic -//! `tau_kernel · (Σ az[i]·o[i] + az_c) · (Σ bz[i]·o[i] + bz_c)` that -//! [`JoltSpartanOuterRemainder::expected_output_claim`] computes; the two are -//! value-equivalent (see `output_matches_factored_form`). -//! -//! The companion Spartan outer *uni-skip* first round is a univariate skip rather -//! than a batched-Boolean [`ConcreteSumcheck`] verification, so it stays hand-coded -//! in the stage-1 verifier; this relation consumes that uni-skip's reduced opening -//! as its input claim. +//! The clear output check uses the factored R1CS evaluator. The symbolic +//! quadratic expression remains available to BlindFold; both obtain their +//! public coefficients from `JoltSpartanOuterRemainder`, and the two agree as +//! polynomials on shapes with affine terms, the only ones the check accepts +//! (pinned by `factored_output_matches_symbolic_relation_on_rv64_shape` and +//! `composed_factored_output_matches_symbolic_relation`). Its opening order is +//! the claims' canonical order, which `append_order_matches_r1cs_input_order` +//! pins to the R1CS input order the factored evaluator reads. #[cfg(feature = "field-inline")] use jolt_claims::protocols::composed::ComposedClaims; @@ -44,7 +34,7 @@ pub use jolt_claims::protocols::jolt::relations::spartan::{ OuterRemainderInputClaims, OuterRemainderOutputClaims, }; use jolt_claims::protocols::jolt::{JoltDerivedId, JoltRelationId, SpartanOuterPublic}; -use jolt_claims::{NoChallenges, SymbolicSumcheck}; +use jolt_claims::{NoChallenges, OutputClaims, SymbolicSumcheck}; use jolt_field::JoltField; use crate::stages::relations::ConcreteSumcheck; @@ -139,6 +129,9 @@ impl OuterRemainderCoefficients { pub struct OuterRemainder { symbolic: SelectedSymbolic, variable_count: usize, + /// The factored check adds the R1CS constants unconditionally, so it + /// matches the symbolic form only on shapes that carry the affine terms. + affine_terms: bool, /// The stage-1 `tau` draw and the uni-skip reduction challenge — two of the /// three inputs to the `SpartanOuterPublic` coefficient table. Both exist /// before this relation is constructed (the uni-skip step completes first). @@ -164,6 +157,7 @@ impl OuterRemainder { jolt_claims::protocols::composed::r1cs::spartan_outer_opening_columns().len(); debug_assert!(variable_count >= dimensions.variables().len()); Self { + affine_terms: dimensions.include_affine_terms(), symbolic: SelectedSymbolic::new(dimensions), variable_count, tau, @@ -177,6 +171,21 @@ impl OuterRemainder { self.uniskip_challenge } + fn formula(&self) -> Result, VerifierError> { + let bound_point = self.bound_point.get().ok_or_else(|| { + public_input_failed( + "Spartan outer remainder point not bound (derive_opening_points must run \ + before the output expression is evaluated)", + ) + })?; + JoltSpartanOuterRemainder::new(JoltSpartanOuterRemainderChallenges { + tau: &self.tau, + uniskip: self.uniskip_challenge, + remainder: bound_point, + }) + .map_err(public_input_failed) + } + /// The expanded `SpartanOuterPublic` coefficient table, built on first use from /// `tau`, the uni-skip reduction challenge, and the captured bound point. /// Sourced from [`JoltSpartanOuterRemainder::public_coefficients`] — the same @@ -184,18 +193,7 @@ impl OuterRemainder { /// drift from that constraint. fn coefficients(&self) -> Result<&OuterRemainderCoefficients, VerifierError> { if self.coefficients.get().is_none() { - let bound_point = self.bound_point.get().ok_or_else(|| { - public_input_failed( - "Spartan outer remainder point not bound (derive_opening_points must run \ - before the output expression is evaluated)", - ) - })?; - let formula = JoltSpartanOuterRemainder::new(JoltSpartanOuterRemainderChallenges { - tau: &self.tau, - uniskip: self.uniskip_challenge, - remainder: bound_point, - }) - .map_err(public_input_failed)?; + let formula = self.formula()?; let coefficients = OuterRemainderCoefficients::from_public_coefficients( self.variable_count, formula.public_coefficients(), @@ -312,6 +310,23 @@ impl ConcreteSumcheck for OuterRemainder { Ok(output) } + fn expected_output( + &self, + _input_points: &SelectedInputs>, + output_values: &SelectedOutputs, + _output_points: &SelectedOutputs>, + _challenges: &NoChallenges, + ) -> Result { + if !self.affine_terms { + return Err(public_input_failed( + "the factored Spartan outer check requires the affine-term shape", + )); + } + self.formula()? + .expected_output_claim(&output_values.opening_values()) + .map_err(public_input_failed) + } + fn derive_output_term( &self, id: &JoltDerivedId, @@ -340,7 +355,6 @@ impl ConcreteSumcheck for OuterRemainder { )] mod tests { use super::*; - use crate::stages::relations::OutputClaims; use jolt_claims::protocols::jolt::geometry::spartan::SPARTAN_OUTER_R1CS_INPUTS; use jolt_claims::protocols::jolt::JoltOpeningId; use jolt_field::{Fr, Ring}; @@ -418,7 +432,7 @@ mod tests { /// value/flag openings followed by the five field value/product openings. #[cfg(feature = "field-inline")] #[test] - fn composed_expected_output_matches_factored_form() { + fn composed_factored_output_matches_symbolic_relation() { let log_t = 3usize; let tau_len = log_t + 2; let remainder_len = 1 + log_t; @@ -437,14 +451,6 @@ mod tests { .map(|i| Fr::from_u64(1_000 + i as u64)) .collect::>(); - let factored = JoltSpartanOuterRemainder::new(JoltSpartanOuterRemainderChallenges { - tau: &tau, - uniskip: uniskip_challenge, - remainder: &remainder_challenges, - }) - .unwrap(); - let factored_output = factored.expected_output_claim(&openings).unwrap(); - let relation = OuterRemainder::::new(dimensions, tau, uniskip_challenge); assert_eq!(relation.variable_count, variable_count); @@ -476,18 +482,33 @@ mod tests { &NoChallenges::default(), ) .unwrap(); - - assert_eq!(composed_output, factored_output); + let symbolic_output = relation + .symbolic() + .output_expression::() + .try_evaluate( + |id| { + output_values + .resolve_output(id) + .ok_or(VerifierError::MissingOpeningClaim { id: *id }) + }, + |id| Err(VerifierError::MissingStageClaimChallenge { id: (*id).into() }), + |id| { + relation.derive_output_term( + id, + &input_points, + &output_points, + &NoChallenges::default(), + ) + }, + ) + .unwrap(); + assert_eq!(composed_output, symbolic_output); } - /// The relation's expanded `expected_output` evaluates bit-identically to the - /// factored `JoltSpartanOuterRemainder::expected_output_claim` on the production - /// 35-variable rv64 shape. This is the equivalence the clear stage-1 path now - /// relies on (it switched from the factored matrix form to the expanded relation - /// form); muldiv non-ZK is the end-to-end gate, this pins it at unit level. + /// The RV64 factored check must agree with the live symbolic relation. #[cfg(not(feature = "field-inline"))] #[test] - fn expected_output_matches_factored_form_on_rv64_shape() { + fn factored_output_matches_symbolic_relation_on_rv64_shape() { let log_t = 3usize; let dimensions = SpartanOuterDimensions::rv64(log_t); let variable_count = dimensions.variables().len(); @@ -503,16 +524,9 @@ mod tests { .collect::>(); let uniskip_challenge = Fr::from_u64(17); - let factored = JoltSpartanOuterRemainder::new(JoltSpartanOuterRemainderChallenges { - tau: &tau, - uniskip: uniskip_challenge, - remainder: &remainder_challenges, - }) - .unwrap(); let openings = (0..variable_count) .map(|i| Fr::from_u64(1_000 + i as u64)) .collect::>(); - let factored_output = factored.expected_output_claim(&openings).unwrap(); let relation = OuterRemainder::new(dimensions, tau, uniskip_challenge); let input_points = SelectedInputs::>::default(); @@ -524,7 +538,7 @@ mod tests { let point = vec![Fr::from_u64(7); 1 + log_t]; let output_values = output_values_from(&openings); let output_points = output_points_at(&point); - let expanded_output = relation + let actual_output = relation .expected_output( &input_points, &output_values, @@ -532,7 +546,26 @@ mod tests { &NoChallenges::default(), ) .unwrap(); - - assert_eq!(expanded_output, factored_output); + let symbolic_output = relation + .symbolic() + .output_expression::() + .try_evaluate( + |id| { + output_values + .resolve_output(id) + .ok_or(VerifierError::MissingOpeningClaim { id: (*id).into() }) + }, + |id| Err(VerifierError::MissingStageClaimChallenge { id: (*id).into() }), + |id| { + relation.derive_output_term( + id, + &input_points, + &output_points, + &NoChallenges::default(), + ) + }, + ) + .unwrap(); + assert_eq!(actual_output, symbolic_output); } } diff --git a/crates/jolt-verifier/src/stages/stage6a/bytecode_read_raf.rs b/crates/jolt-verifier/src/stages/stage6a/bytecode_read_raf.rs index 85a3f5e7e5..79fcb27584 100644 --- a/crates/jolt-verifier/src/stages/stage6a/bytecode_read_raf.rs +++ b/crates/jolt-verifier/src/stages/stage6a/bytecode_read_raf.rs @@ -21,15 +21,17 @@ use std::collections::BTreeSet; #[cfg(not(feature = "akita"))] use jolt_claims::protocols::jolt::relations; +use jolt_claims::protocols::jolt::relations::bytecode::BytecodeReadRafAddressPhaseChallenges; pub use jolt_claims::protocols::jolt::relations::bytecode::{ BytecodeReadRafAddressPhaseInputClaims, BytecodeReadRafAddressPhaseOutputClaims, }; use jolt_claims::protocols::jolt::{ geometry::{ - bytecode::BytecodeReadRafDimensions, claim_reductions::bytecode as bytecode_reduction, + bytecode::{self, BytecodeReadRafDimensions}, + claim_reductions::bytecode as bytecode_reduction, dimensions::REGISTER_ADDRESS_BITS, }, - JoltRelationId, + BytecodeReadRafPublic, JoltChallengeId, JoltDerivedId, JoltRelationId, }; use jolt_claims::SymbolicSumcheck; use jolt_field::JoltField; @@ -371,6 +373,32 @@ impl ConcreteSumcheck for BytecodeReadRafAddressPhase { openings } + /// The batching-challenge powers the address fold references as derived + /// leaves (`challenge_pow_expr`), from the drawn challenges. + #[expect( + clippy::wildcard_enum_match_arm, + reason = "fail-closed: any other derived id is not an input derived of this relation" + )] + fn derive_input_term( + &self, + id: &JoltDerivedId, + challenges: &BytecodeReadRafAddressPhaseChallenges, + ) -> Result { + use jolt_claims::SumcheckChallenges as _; + match id { + JoltDerivedId::BytecodeReadRaf(BytecodeReadRafPublic::ChallengePow { + challenge, + exponent, + }) => challenges + .resolve_challenge(&(*challenge).into()) + .map(|value| bytecode::challenge_pow(value, *exponent)) + .ok_or(VerifierError::MissingStageClaimChallenge { + id: JoltChallengeId::from(*challenge).into(), + }), + _ => Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }), + } + } + #[cfg_attr( not(feature = "field-inline"), expect( @@ -502,12 +530,7 @@ mod field_inline_tests { .resolve_challenge(id) .ok_or(VerifierError::MissingStageClaimChallenge { id: (*id).into() }) }, - |_| { - Err(VerifierError::StageClaimPublicInputFailed { - stage: JoltRelationId::BytecodeReadRaf, - reason: "no input deriveds".to_string(), - }) - }, + |id| relation.derive_input_term(id, &challenges), ) .unwrap(); diff --git a/crates/jolt-verifier/src/stages/stage6b/booleanity.rs b/crates/jolt-verifier/src/stages/stage6b/booleanity.rs index 2fc073d7bc..82f0dc4e42 100644 --- a/crates/jolt-verifier/src/stages/stage6b/booleanity.rs +++ b/crates/jolt-verifier/src/stages/stage6b/booleanity.rs @@ -4,9 +4,11 @@ //! boolean. It runs in two phases: the stage-6a address phase binds the //! `log_k_chunk` address variables and stages the `BooleanityAddrClaim` //! intermediate; this stage-6b cycle phase binds the `log_t` cycle variables and -//! opens the committed per-family `Ra` claims. The cycle phase's single public, +//! opens the committed per-family `Ra` claims. The cycle phase's eq public, //! `EqAddressCycle`, ties the full two-phase sumcheck point to the reference //! address/cycle drawn from the stage-5 instruction opening. + +use jolt_claims::protocols::jolt::geometry::claim_reductions::hamming_weight::gamma_pow; use jolt_claims::protocols::jolt::relations; pub use jolt_claims::protocols::jolt::relations::booleanity::{ BooleanityCyclePhaseChallenges, BooleanityInputClaims, BooleanityOutputClaims, @@ -101,8 +103,11 @@ impl ConcreteSumcheck for Booleanity { id: &JoltDerivedId, _input_points: &SumcheckInputPoints, output_points: &SumcheckOutputPoints, - _challenges: &BooleanityCyclePhaseChallenges, + challenges: &BooleanityCyclePhaseChallenges, ) -> Result { + if let JoltDerivedId::Booleanity(BooleanityPublic::GammaPow { exponent }) = id { + return Ok(gamma_pow(challenges.gamma, *exponent)); + } let JoltDerivedId::Booleanity(BooleanityPublic::EqAddressCycle) = id else { return Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }); }; diff --git a/crates/jolt-verifier/src/stages/stage6b/bytecode_read_raf.rs b/crates/jolt-verifier/src/stages/stage6b/bytecode_read_raf.rs index 78da6bf30f..5e8076fbbb 100644 --- a/crates/jolt-verifier/src/stages/stage6b/bytecode_read_raf.rs +++ b/crates/jolt-verifier/src/stages/stage6b/bytecode_read_raf.rs @@ -16,6 +16,7 @@ pub use jolt_claims::protocols::jolt::relations::bytecode::{ BytecodeReadRafCyclePhaseChallenges, BytecodeReadRafCyclePhaseCommittedChallenges, BytecodeReadRafInputClaims, BytecodeReadRafOutputClaims, }; +use jolt_claims::protocols::jolt::JoltOpeningId; use jolt_claims::protocols::jolt::{ geometry::{ bytecode::{ @@ -25,7 +26,8 @@ use jolt_claims::protocols::jolt::{ claim_reductions::bytecode::{bytecode_val_stage_opening, NUM_BYTECODE_VAL_STAGES}, dimensions::committed_address_chunks, }, - BytecodeReadRafChallenge, JoltChallengeId, JoltDerivedId, JoltRelationId, + BytecodeReadRafChallenge, BytecodeReadRafPublic, JoltChallengeId, JoltDerivedId, + JoltRelationId, }; use jolt_claims::{SumcheckChallenges, SymbolicSumcheck}; use jolt_field::JoltField; @@ -223,22 +225,18 @@ fn fold_stage_values( #[cfg(feature = "field-inline")] let field_registers = { use jolt_claims::protocols::field_inline::geometry::bytecode::{ - read_raf_stage_values, FieldInlineBytecodeReadRafStageValueInputs, + read_raf_folded_stage_values, FieldInlineBytecodeReadRafStageValueInputs, }; - let rows = read_raf_stage_values(FieldInlineBytecodeReadRafStageValueInputs { - bytecode: bytecode_rows, - field_register_read_write_point: &field_inline.read_write_address, - field_register_val_evaluation_point: &field_inline.val_evaluation_address, - stage4_gammas: &field_inline.gammas.stage4, - stage5_gammas: &field_inline.gammas.stage5, - }); - let mut values = [F::zero(); 5]; - for (row, eq_address) in rows.into_iter().zip(address_eq_evals) { - for (value, row_value) in values.iter_mut().zip(row) { - *value += row_value * eq_address; - } - } - values + read_raf_folded_stage_values( + FieldInlineBytecodeReadRafStageValueInputs { + bytecode: bytecode_rows, + field_register_read_write_point: &field_inline.read_write_address, + field_register_val_evaluation_point: &field_inline.val_evaluation_address, + stage4_gammas: &field_inline.gammas.stage4, + stage5_gammas: &field_inline.gammas.stage5, + }, + &address_eq_evals, + ) }; Ok(FoldedStageValues { ordinary: stage_values, @@ -247,6 +245,24 @@ fn fold_stage_values( }) } +/// Produced `BytecodeRa` opening values keyed by id, for the expression +/// resolvers: sorted once so each factor resolves by binary search instead of +/// a scan over every opening. +fn bytecode_ra_table(ids: &[JoltOpeningId], values: &[F]) -> Vec<(JoltOpeningId, F)> { + let mut table: Vec<(JoltOpeningId, F)> = + ids.iter().copied().zip(values.iter().copied()).collect(); + table.sort_unstable_by_key(|(id, _)| *id); + table +} + +fn bytecode_ra_value(table: &[(JoltOpeningId, F)], id: &JoltOpeningId) -> Option { + table + .binary_search_by_key(id, |(key, _)| *key) + .ok() + .and_then(|index| table.get(index)) + .map(|(_, value)| *value) +} + fn public_input_failed(reason: impl ToString) -> VerifierError { VerifierError::StageClaimPublicInputFailed { stage: JoltRelationId::BytecodeReadRaf, @@ -287,20 +303,21 @@ fn expected_output_from_publics( }); } let relation = relations::bytecode::ReadRaf::new(dimensions); + let table = bytecode_ra_table(&output_openings.bytecode_ra, bytecode_ra); relation.output_expression::().try_evaluate( |id| { - for (opening, value) in output_openings.bytecode_ra.iter().zip(bytecode_ra) { - if *id == *opening { - return Ok(*value); - } - } - Err(VerifierError::MissingOpeningClaim { id: (*id).into() }) + bytecode_ra_value(&table, id) + .ok_or(VerifierError::MissingOpeningClaim { id: (*id).into() }) }, |id| match id { JoltChallengeId::BytecodeReadRaf(BytecodeReadRafChallenge::Gamma) => Ok(gamma), _ => Err(VerifierError::MissingStageClaimChallenge { id: (*id).into() }), }, |id| match id { + JoltDerivedId::BytecodeReadRaf(BytecodeReadRafPublic::ChallengePow { + challenge: BytecodeReadRafChallenge::Gamma, + exponent, + }) => Ok(bytecode::challenge_pow(gamma, *exponent)), JoltDerivedId::BytecodeReadRaf(public_id) => public_values .value(*public_id) .ok_or(VerifierError::MissingStageClaimDerived { id: (*id).into() }), @@ -436,21 +453,14 @@ impl ConcreteSumcheck for BytecodeReadRaf { output_values.bytecode_ra.len() ))); } + let table = bytecode_ra_table(&output_openings.bytecode_ra, &output_values.bytecode_ra); self.symbolic().output_expression::().try_evaluate( |id| { if *id == bytecode::fused_inc_read_raf_opening() { return Ok(output_values.fused_inc); } - for (opening_id, value) in output_openings - .bytecode_ra - .iter() - .zip(&output_values.bytecode_ra) - { - if *id == *opening_id { - return Ok(*value); - } - } - Err(VerifierError::MissingOpeningClaim { id: (*id).into() }) + bytecode_ra_value(&table, id) + .ok_or(VerifierError::MissingOpeningClaim { id: (*id).into() }) }, |id| match id { JoltChallengeId::BytecodeReadRaf(BytecodeReadRafChallenge::Gamma) => { @@ -462,6 +472,10 @@ impl ConcreteSumcheck for BytecodeReadRaf { JoltDerivedId::BytecodeReadRaf( jolt_claims::protocols::jolt::BytecodeReadRafPublic::StageValue(stage), ) if *stage >= base_stages => fused_stage_value(*stage), + JoltDerivedId::BytecodeReadRaf(BytecodeReadRafPublic::ChallengePow { + challenge: BytecodeReadRafChallenge::Gamma, + exponent, + }) => Ok(bytecode::challenge_pow(challenges.gamma, *exponent)), JoltDerivedId::BytecodeReadRaf(public_id) => public_values .value(*public_id) .ok_or(VerifierError::MissingStageClaimDerived { id: (*id).into() }), @@ -784,6 +798,7 @@ impl ConcreteSumcheck for BytecodeReadRafCommitted { }, ); let output_openings = bytecode::read_raf_output_openings(self.dimensions); + let table = bytecode_ra_table(&output_openings.bytecode_ra, &output_values.bytecode_ra); self.symbolic().output_expression::().try_evaluate( |id| { #[cfg(feature = "akita")] @@ -795,16 +810,8 @@ impl ConcreteSumcheck for BytecodeReadRafCommitted { return Ok(*value); } } - for (index, opening_id) in output_openings.bytecode_ra.iter().enumerate() { - if *id == *opening_id { - return output_values - .bytecode_ra - .get(index) - .copied() - .ok_or(VerifierError::MissingOpeningClaim { id: (*id).into() }); - } - } - Err(VerifierError::MissingOpeningClaim { id: (*id).into() }) + bytecode_ra_value(&table, id) + .ok_or(VerifierError::MissingOpeningClaim { id: (*id).into() }) }, |id| { challenges @@ -812,6 +819,15 @@ impl ConcreteSumcheck for BytecodeReadRafCommitted { .ok_or(VerifierError::MissingStageClaimChallenge { id: (*id).into() }) }, |id| match id { + JoltDerivedId::BytecodeReadRaf(BytecodeReadRafPublic::ChallengePow { + challenge, + exponent, + }) => challenges + .resolve_challenge(&(*challenge).into()) + .map(|value| bytecode::challenge_pow(value, *exponent)) + .ok_or(VerifierError::MissingStageClaimChallenge { + id: JoltChallengeId::from(*challenge).into(), + }), JoltDerivedId::BytecodeReadRaf(public_id) => public_values .value(*public_id) .ok_or(VerifierError::MissingStageClaimDerived { id: (*id).into() }), diff --git a/crates/jolt-verifier/src/stages/stage7/hamming_weight_claim_reduction.rs b/crates/jolt-verifier/src/stages/stage7/hamming_weight_claim_reduction.rs index 66ccf8705e..e255418896 100644 --- a/crates/jolt-verifier/src/stages/stage7/hamming_weight_claim_reduction.rs +++ b/crates/jolt-verifier/src/stages/stage7/hamming_weight_claim_reduction.rs @@ -22,6 +22,7 @@ //! `HammingWeightClaimReduction*` names and reaches the live relation through the //! aliases re-exported from it, so no consumer needs a `cfg` of its own. +use jolt_claims::protocols::jolt::geometry::claim_reductions::hamming_weight::gamma_pow; pub use jolt_claims::protocols::jolt::relations::claim_reductions::hamming_weight::HammingWeightClaimReductionChallenges; use jolt_claims::protocols::jolt::{ geometry::ra::JoltRaPolynomialLayout, HammingWeightClaimReductionPublic, JoltDerivedId, @@ -260,7 +261,7 @@ impl ConcreteSumcheck for HammingWeightClaimReduction { id: &JoltDerivedId, _input_points: &HammingWeightClaimReductionInputClaims>, output_points: &HammingWeightClaimReductionOutputClaims>, - _challenges: &HammingWeightClaimReductionChallenges, + challenges: &HammingWeightClaimReductionChallenges, ) -> Result { let JoltDerivedId::HammingWeightClaimReduction(public_id) = id else { return Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }); @@ -289,9 +290,12 @@ impl ConcreteSumcheck for HammingWeightClaimReduction { })?; Ok(eq_at_digit_zero(point)) } - HammingWeightClaimReductionPublic::BalancedIncValueAtAddress => { + HammingWeightClaimReductionPublic::ReservedBalancedIncValueAtAddress => { Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }) } + HammingWeightClaimReductionPublic::GammaPow(exponent) => { + Ok(gamma_pow(challenges.gamma, *exponent)) + } } } @@ -302,7 +306,7 @@ impl ConcreteSumcheck for HammingWeightClaimReduction { fn derive_input_term( &self, id: &JoltDerivedId, - _challenges: &HammingWeightClaimReductionChallenges, + challenges: &HammingWeightClaimReductionChallenges, ) -> Result { let JoltDerivedId::HammingWeightClaimReduction(public_id) = id else { return Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }); @@ -319,11 +323,14 @@ impl ConcreteSumcheck for HammingWeightClaimReduction { })?; Ok(eq_at_digit_zero(point)) } + HammingWeightClaimReductionPublic::GammaPow(exponent) => { + Ok(gamma_pow(challenges.gamma, *exponent)) + } // Output publics — resolved in `derive_output_term`, never in the // input expression. HammingWeightClaimReductionPublic::EqBooleanity | HammingWeightClaimReductionPublic::EqVirtualization(_) - | HammingWeightClaimReductionPublic::BalancedIncValueAtAddress => { + | HammingWeightClaimReductionPublic::ReservedBalancedIncValueAtAddress => { Err(VerifierError::MissingStageClaimDerived { id: (*id).into() }) } } diff --git a/crates/jolt-verifier/src/stages/zk/blindfold/mod.rs b/crates/jolt-verifier/src/stages/zk/blindfold/mod.rs index 75dbfbd9ab..327685a68f 100644 --- a/crates/jolt-verifier/src/stages/zk/blindfold/mod.rs +++ b/crates/jolt-verifier/src/stages/zk/blindfold/mod.rs @@ -66,6 +66,7 @@ use jolt_claims::protocols::composed::r1cs::{ use jolt_claims::protocols::field_inline::{FieldInlineChallengeId, FieldInlineDerivedId}; #[cfg(not(feature = "field-inline"))] use jolt_claims::protocols::jolt::geometry::bytecode::BytecodeReadRafCommittedEvaluationInputs; +use jolt_claims::protocols::jolt::geometry::bytecode::READ_RAF_CYCLE_STAGES; use jolt_claims::protocols::jolt::relations; #[cfg(feature = "fuzzing")] use jolt_claims::protocols::jolt::JoltExpr; @@ -922,6 +923,27 @@ where spartan_shift_raf, )?; values.public(JoltDerivedId::from(BytecodeReadRafPublic::Entry), entry)?; + // The batching-challenge powers the read-RAF expressions fold under + // (`bytecode::challenge_pow_expr` leaves), one public per power. + { + use jolt_claims::SumcheckChallenges as _; + for (challenge, bound) in bytecode::challenge_power_bounds(READ_RAF_CYCLE_STAGES) { + let value = bytecode_challenges + .resolve_challenge(&challenge.into()) + .ok_or(VerifierError::MissingStageClaimChallenge { + id: JoltChallengeId::from(challenge).into(), + })?; + for exponent in 2..bound { + values.public( + JoltDerivedId::from(BytecodeReadRafPublic::ChallengePow { + challenge, + exponent, + }), + bytecode::challenge_pow(value, exponent), + )?; + } + } + } let booleanity_address_point = input .stage6a diff --git a/crates/jolt-verifier/src/stages/zk/blindfold/stage6a.rs b/crates/jolt-verifier/src/stages/zk/blindfold/stage6a.rs index 2d18a868c2..b1da1bd196 100644 --- a/crates/jolt-verifier/src/stages/zk/blindfold/stage6a.rs +++ b/crates/jolt-verifier/src/stages/zk/blindfold/stage6a.rs @@ -72,6 +72,24 @@ where instruction_ra_claims.rounds(), inc_claims.rounds(), )?; + for term in booleanity_claims.output_expression::().terms { + for factor in term.factors { + if let Source::Derived( + id @ JoltDerivedId::Booleanity(BooleanityPublic::GammaPow { exponent }), + ) = factor + { + if !values.has_public(id.into()) { + values.public( + id, + jolt_claims::protocols::jolt::geometry::claim_reductions::hamming_weight::gamma_pow( + input.stage6a.challenges.booleanity.gamma, + exponent, + ), + )?; + } + } + } + } if let Some(layout) = trusted_layout { add_advice_cycle_publics(input, values, layout, JoltAdviceKind::Trusted)?; } @@ -245,8 +263,10 @@ mod field_inline_tests { VerifierPublicId::Challenge(id) => { challenges.resolve_challenge(id).unwrap_or_else(|| fr(0)) } - VerifierPublicId::Jolt(_) - | VerifierPublicId::SpartanOuter(_) + VerifierPublicId::Jolt(id) => relation + .derive_input_term(id, &challenges) + .unwrap_or_else(|_| fr(0)), + VerifierPublicId::SpartanOuter(_) | VerifierPublicId::FieldInline(_) | VerifierPublicId::FieldInlineChallenge(_) => fr(0), }, diff --git a/crates/jolt-verifier/src/stages/zk/blindfold/stage6b.rs b/crates/jolt-verifier/src/stages/zk/blindfold/stage6b.rs index f0d7e1670a..6796f9a9e0 100644 --- a/crates/jolt-verifier/src/stages/zk/blindfold/stage6b.rs +++ b/crates/jolt-verifier/src/stages/zk/blindfold/stage6b.rs @@ -566,6 +566,15 @@ mod field_inline_tests { fr(0) } } + VerifierPublicId::Jolt(JoltDerivedId::BytecodeReadRaf( + BytecodeReadRafPublic::ChallengePow { + challenge, + exponent, + }, + )) => { + assert_eq!(*challenge, BytecodeReadRafChallenge::Gamma); + bytecode::challenge_pow(challenges.gamma, *exponent) + } VerifierPublicId::Jolt(JoltDerivedId::BytecodeReadRaf(public)) => { publics.value(*public).unwrap_or_else(|| fr(0)) } diff --git a/crates/jolt-verifier/src/stages/zk/blindfold/stage7.rs b/crates/jolt-verifier/src/stages/zk/blindfold/stage7.rs index a6552c6592..628f96cb7a 100644 --- a/crates/jolt-verifier/src/stages/zk/blindfold/stage7.rs +++ b/crates/jolt-verifier/src/stages/zk/blindfold/stage7.rs @@ -46,12 +46,19 @@ where }) }); + let gamma = input.stage7.challenges.hamming_weight_claim_reduction.gamma; values.public( VerifierPublicId::Challenge(JoltChallengeId::from( HammingWeightClaimReductionChallenge::Gamma, )), - input.stage7.challenges.hamming_weight_claim_reduction.gamma, + gamma, )?; + for exponent in 2..hamming_weight::gamma_power_bound(hamming_dimensions) { + values.public( + JoltDerivedId::from(HammingWeightClaimReductionPublic::GammaPow(exponent)), + hamming_weight::gamma_pow(gamma, exponent), + )?; + } let hamming_point = input .stage7 .batch_consistency diff --git a/crates/jolt-verifier/tests/field_inline_boundary.rs b/crates/jolt-verifier/tests/field_inline_boundary.rs index 126f211172..970fe2e901 100644 --- a/crates/jolt-verifier/tests/field_inline_boundary.rs +++ b/crates/jolt-verifier/tests/field_inline_boundary.rs @@ -25,7 +25,7 @@ fn rust_sources(dir: &Path) -> Vec { } #[test] -fn composed_relations_use_symbolic_claim_evaluation() { +fn composed_relations_keep_shared_claim_evaluators() { use syn::{ImplItem, Item}; let src = Path::new(env!("CARGO_MANIFEST_DIR")).join("src/stages"); for file in [ @@ -47,9 +47,15 @@ fn composed_relations_use_symbolic_claim_evaluation() { } for method in item.items { if let ImplItem::Fn(method) = method { + // The outer check uses the canonical factored R1CS evaluator; + // its value is checked against the live symbolic relation in + // outer_remainder's RV64 and composed tests. + let factored_outer = file == "stage1/outer_remainder.rs" + && method.sig.ident == "expected_output"; assert!( - method.sig.ident != "input_claim" - && method.sig.ident != "expected_output", + factored_outer + || (method.sig.ident != "input_claim" + && method.sig.ident != "expected_output"), "{file} bypasses its symbolic claim contract with {}", method.sig.ident ); diff --git a/crates/jolt-verifier/tests/guest_runtime.rs b/crates/jolt-verifier/tests/guest_runtime.rs index 05961ab0b5..8c136cabf2 100644 --- a/crates/jolt-verifier/tests/guest_runtime.rs +++ b/crates/jolt-verifier/tests/guest_runtime.rs @@ -26,6 +26,22 @@ fn large_alloc_munmap_trace() { ); } +// Under guest-size-class-alloc, musl's mmap-backed memory (C malloc, pthread +// stacks) and Rust allocations draw from one arena. +#[test] +fn size_class_heap_serves_musl_mappings() { + let mut program = Program::new("large-alloc-guest"); + program.set_std(true); + program.set_func("shared_heap_roundtrip"); + program.add_guest_feature("size-class-alloc"); + program.set_heap_size(16_777_216); + program.set_stack_size(1_048_576); + let (_, io_device) = program.execute_with_output(&[], &[], &[]); + assert!( + !io_device.panic, + "shared-heap guest panicked: musl could not map memory beside the Rust heap" + ); +} #[test] fn memory_copy_abi_no_std() { check_memory_copy_abi(false); diff --git a/examples/large-alloc/guest/Cargo.toml b/examples/large-alloc/guest/Cargo.toml index 16fd5ce8bb..e4b613dfe8 100644 --- a/examples/large-alloc/guest/Cargo.toml +++ b/examples/large-alloc/guest/Cargo.toml @@ -6,6 +6,9 @@ edition = "2021" [features] guest = [] field-inline = ["jolt/field-inline"] +# `shared_heap_roundtrip`: Rust allocations on the size-class arena, with a +# spawned thread so musl maps a pthread stack. +size-class-alloc = ["jolt/guest-size-class-alloc", "jolt/thread"] [dependencies] jolt = { package = "jolt-sdk", path = "../../../jolt-sdk", features = [ diff --git a/examples/large-alloc/guest/src/lib.rs b/examples/large-alloc/guest/src/lib.rs index 904f8d6cc3..ecfde52d5f 100644 --- a/examples/large-alloc/guest/src/lib.rs +++ b/examples/large-alloc/guest/src/lib.rs @@ -1,4 +1,5 @@ use libc::{MAP_ANONYMOUS, MAP_FAILED, MAP_PRIVATE, PROT_READ, PROT_WRITE}; +use std::thread::Builder; /// std-guest exercise of ZeroOS's mmap/munmap region accounting. /// @@ -80,3 +81,38 @@ fn large_alloc_roundtrip() -> u64 { acc = acc.wrapping_add(tail.iter().map(|&byte| u64::from(byte)).sum::()); acc } + +/// std-guest exercise of one heap shared by Rust and musl under +/// `guest-size-class-alloc` (built with this crate's `size-class-alloc`). +/// +/// A 4 MiB Rust allocation lives on the size-class arena while musl maps a +/// 3 MiB `malloc` and a 3 MiB pthread stack through ZeroOS's kernel heap. +/// Each mapping exceeds an eighth of the 16 MiB heap, so a kernel heap +/// confined to a fixed slice of it fails here. +#[jolt::provable( + heap_size = 16777216, + stack_size = 1048576, + max_trace_length = 16777216 +)] +fn shared_heap_roundtrip() -> u64 { + const LEN: usize = 3 << 20; + // black_box keeps LLVM from eliding the allocations as unused. + let rust_side = core::hint::black_box(vec![3u8; 4 << 20]); + + let c_side = core::hint::black_box(unsafe { libc::malloc(LEN) }).cast::(); + assert!(!c_side.is_null(), "musl malloc failed beside the Rust heap"); + unsafe { + c_side.write(5); + c_side.add(LEN - 1).write(9); + } + let mut acc = u64::from(unsafe { c_side.read() + c_side.add(LEN - 1).read() }); + unsafe { libc::free(c_side.cast()) }; + + let worker = Builder::new() + .stack_size(LEN) + .spawn(|| 11u64) + .expect("pthread stack mapping failed beside the Rust heap"); + acc += worker.join().expect("worker thread panicked"); + + acc + u64::from(rust_side[0]) + u64::from(rust_side[rust_side.len() - 1]) +} diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index bfbaff3afa..5a8fdc996b 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -7,8 +7,34 @@ edition = "2021" name = "recursion" path = "src/main.rs" +[features] +ntt-inline = ["akita", "dep:jolt-inlines-ntt"] +# Non-default: default workspace builds must not unify field-inline into the +# verifier stack. The recursion flow needs it. +field-inline = ["jolt-sdk/field-inline"] +akita = [ + "jolt-sdk/akita", + "dep:jolt-akita", + "dep:jolt-program", + "dep:jolt-witness", + "dep:tracer", +] + [dependencies] -jolt-sdk = { workspace = true, features = ["host"] } +jolt-field.workspace = true +jolt-poly.workspace = true +jolt-sumcheck.workspace = true +jolt-akita = { path = "../../crates/jolt-akita", optional = true } +jolt-program = { path = "../../crates/jolt-program", optional = true } +jolt-witness = { path = "../../crates/jolt-witness", optional = true } +tracer = { path = "../../tracer", optional = true } +jolt-riscv = { path = "../../crates/jolt-riscv" } +jolt-inlines-ntt = { workspace = true, features = ["host"], optional = true } +# Registers the Blake2b inline with the tracer for the guest transcripts. +jolt-inlines-blake2 = { workspace = true, features = ["host"] } +# Registers the Keccak inline the Akita SHAKE samplers use. +jolt-inlines-keccak256 = { workspace = true, features = ["host"] } +jolt-sdk = { workspace = true, features = ["host", "transcript-blake2b"] } tracing-subscriber.workspace = true tracing.workspace = true postcard.workspace = true diff --git a/examples/recursion/README.md b/examples/recursion/README.md index 7885cca438..9f0d5b4234 100644 --- a/examples/recursion/README.md +++ b/examples/recursion/README.md @@ -1,11 +1,95 @@ +# Recursion verifier guest + +Generate an inner Fibonacci proof, then execute its verifier as a RISC-V guest: -## Generate proof binary ```bash -cargo run -p recursion generate --example fibonacci +export RAYON_NUM_THREADS=1 RUST_MIN_STACK=268435456 CARGO_BUILD_JOBS=1 +cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ + generate --example fibonacci --proofs 1 --workdir /tmp/jolt-recursion +cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ + trace --example fibonacci --workdir /tmp/jolt-recursion ``` -## Verify proof binary -Use `--embed` to embed the proof bytes directly into the recursion-guest program binary, otherwise the proof bytes are passed as input to the recursion-guest program at runtime. -```bash -cargo run -p recursion verify --example fibonacci --embed +`trace` executes the verifier and reports its output; it does not prove that +execution. It stores no trace rows and requires a non-panicking guest with +`Recursion output (trace-only): 1`. Use `--disk` only when the trace +artifact is needed. +The `"verification"` cycle count excludes preprocessing and proof decoding; +`trace length` includes the complete guest execution. This Akita path supports +trace execution only; its outer `verify` operation is not implemented. + +For the Dory verifier, build with `--features field-inline`; its `verify` +command also proves and verifies the outer execution. + +Add `--embed` to `trace` (or Dory `verify`) to bake the verifier setup into the +guest image; proofs remain runtime inputs. In input mode the host +bakes a BLAKE2b-512 digest of the complete setup section into the guest image. +The guest authenticates the setup record and every detached key, catalog, and +terminal-cache body before decoding or trusting them; a missing pin or mismatch +returns `0`. Consumers must pin the intended guest image, including this digest +(see [`specs/recursion-guest.md`](../../specs/recursion-guest.md)). The spec's row +counts are for embedded mode. + +### Acceptance and rejection + +The recursive statement is: under the setup bound by this guest image, the +postcard-decoded record slice contains a nonempty batch of valid inner +proof/device pairs. The count must be at least one and no bytes may follow the +last padded record within that slice. The entry point also requires every byte +from the end of the postcard envelope to the end of the input capacity to be +zero. The runtime exposes a zero-padded region, not the submitted input length, +so an explicit zero suffix is indistinguishable from unused capacity and is +allowed. A nonzero transport suffix, malformed envelope, or malformed record +returns `0`; acceptance returns `1`. The output is +still one `u32` and does not commit separately to the count or inner devices. +A consumer checking a particular computation must bind the runtime input and +inspect the intended count and devices; checking the verdict alone establishes +only that some nonempty batch verifies under the image's setup. + +`trace` requires the guest's verdict to match `--expect` (default `accept`); a +guest panic is neither verdict. `tamper-opening` requires the Akita build and +flips one bit inside the first PCS opening proof body, preserving its envelope +and length prefixes. The stream still decodes and the guest must reject it: + +```sh +recursion generate --example fibonacci --workdir proofs +recursion trace --embed --example fibonacci --workdir proofs +recursion tamper-opening --example fibonacci --workdir proofs --output tampered +recursion trace --embed --expect reject --example fibonacci --workdir tampered ``` + +`check-input-framing --embed --example fibonacci --workdir proofs` builds one +verifier image, checks the honest input, then requires verdict `0` without a +panic for a ten-byte `0xff` length prefix and a length exceeding the input +region. It also rejects a nonzero suffix immediately after the envelope or at +the last capacity byte, and accepts explicit zero padding. Recursion opts into `#[jolt::provable(input_error = 0)]`; decoding errors +and nonzero public-input padding skip the verifier body and serialize that +return value. Other guests retain +the default decoding behavior. + +These commands test guest verification, not an Akita outer recursive proof. + +`tamper --target sumcheck|claim|output|panic|empty` writes a fixture with one +Stage1 round coefficient changed, one Stage1 opening claim changed, one device +output byte flipped, the panic bit flipped, or a zero-proof batch. Run each +through `trace --embed --expect reject`. Generate with `--proofs 2` and trace +normally to test batch acceptance; `tamper --target claim --proof-index 1` +then changes only the second proof, and the batch must return `0`. +The Dory lane also checks framing and rejects a changed claim. Input-mode +traces authenticate the setup +against the digest baked into the newly built guest. + +The builder logs record byte lengths and allocation charges, then pins finite +record limits and sizes the heap in the guest image. This admits larger honest +records without letting runtime lengths raise the limits; see the spec's +[record-limit arithmetic](../../specs/recursion-guest.md#record-limits). + +With `--features field-inline`, `check-field-kernels` runs a separate compiled +guest under the same tracer. Native software folds supply the expected results +for deterministic full-width values and zero, one, and minus one. It covers +row counts 1 through 10 and vector lengths 0 through 11, including every +five-row block tail and four-element tail, product arities 0 through 4, nested +signed-sum iterators, and zero/nonzero inverses. The Akita build requires the +Fp128 row kernels to dispatch; the Dory build checks the BN254 arithmetic +wrappers. CI runs both. The `kernel-tests` guest feature is used only for this +entry point. diff --git a/examples/recursion/guest/.gitignore b/examples/recursion/guest/.gitignore index 6b651e1b35..a79596d1ea 100644 --- a/examples/recursion/guest/.gitignore +++ b/examples/recursion/guest/.gitignore @@ -1,2 +1,4 @@ src/embedded_bytes.rs +src/embedded_bytecode.rs +src/embedded.bin src/provable_macro.rs diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index da810830c3..b1fd73afbd 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -4,17 +4,51 @@ version = "0.1.0" edition = "2021" [features] +ntt-inline = ["akita", "jolt-akita/ntt-inline"] guest = [] +kernel-tests = ["field-inline"] field-inline = ["jolt_sdk/field-inline"] +# The field the field-inline unit computes in: BN254 `Fr` under Dory, the +# Fp128 protocol prime under Akita. The host selects the one its tracer uses. +field-inline-bn254 = ["field-inline", "jolt-field/field-inline-guest-bn254"] +field-inline-fp128 = ["field-inline", "jolt-field/field-inline-guest-fp128"] +akita = [ + "jolt_sdk/akita", + "dep:jolt-akita", + "dep:jolt-crypto", + "dep:jolt-transcript", +] +fast-alloc = ["jolt_sdk/guest-size-class-alloc"] +hash-inlines = [ + "jolt_sdk/blake2-inline", + "jolt-transcript?/blake2-inline", + "jolt-akita?/blake2-inline", + "jolt-akita?/keccak-inline", +] + +[package.metadata.cargo-machete] +# The jolt-transcript edge selects BLAKE2b and its guest inline implementation. +# Generated embedded_bytecode.rs imports jolt-riscv when the host prepares an +# embedded guest. +ignored = ["jolt-riscv", "jolt-transcript"] [dependencies] +jolt-inlines-blake2.workspace = true +jolt-riscv = { path = "../../../crates/jolt-riscv" } jolt_sdk = { package = "jolt-sdk", path = "../../../jolt-sdk", features = [ "guest-verifier", + "transcript-blake2b", "thread", "random", ] } bincode.workspace = true serde.workspace = true +jolt-field = { path = "../../../crates/jolt-field" } +jolt-akita = { path = "../../../crates/jolt-akita", optional = true, default-features = false } +jolt-crypto = { path = "../../../crates/jolt-crypto", optional = true, default-features = false } +jolt-transcript = { path = "../../../crates/jolt-transcript", default-features = false, features = [ + "transcript-blake2b", +], optional = true } [lib] test = false diff --git a/examples/recursion/guest/build.rs b/examples/recursion/guest/build.rs index 8d46f43a43..f0b3cdde37 100644 --- a/examples/recursion/guest/build.rs +++ b/examples/recursion/guest/build.rs @@ -2,10 +2,18 @@ use std::fs; use std::path::Path; fn main() { + let embedded_bytecode_path = Path::new("src/embedded_bytecode.rs"); + if !embedded_bytecode_path.exists() { + fs::write(embedded_bytecode_path, + "use jolt_riscv::JoltInstructionRow;\npub static EMBEDDED_BYTECODE: &[JoltInstructionRow] = &[];\n").unwrap(); + } + println!("cargo:rerun-if-changed=src/embedded_bytecode.rs"); + let embedded_bytes_path = Path::new("src/embedded_bytes.rs"); if !embedded_bytes_path.exists() { - let fallback_content = r#"pub static EMBEDDED_BYTES: &[u8] = &[];"#; + let fallback_content = r#"pub static EMBEDDED_BYTES: &[u8] = &[]; +pub static SETUP_DIGEST: Option<[u8; 64]> = None;"#; fs::write(embedded_bytes_path, fallback_content).unwrap(); println!("cargo:warning=Created fallback embedded_bytes.rs with empty bytes"); } else { @@ -15,9 +23,14 @@ fn main() { let provable_macro_path = Path::new("src/provable_macro.rs"); if !provable_macro_path.exists() { - let fallback_content = r#"macro_rules! provable_with_config { + let fallback_content = r#"const RECORD_LIMITS: bounded::RecordLimits = bounded::RecordLimits { + bytes: 16 * 1024 * 1024, + allocation: 16 * 1024 * 1024, +}; +macro_rules! provable_with_config { ($item: item) => { #[jolt::provable( + input_error = 0, max_input_size = 4096, max_output_size = 4096, heap_size = 33554432, diff --git a/examples/recursion/guest/src/bounded.rs b/examples/recursion/guest/src/bounded.rs new file mode 100644 index 0000000000..f79fe8c83e --- /dev/null +++ b/examples/recursion/guest/src/bounded.rs @@ -0,0 +1,323 @@ +use bincode::error::DecodeError; +use core::{ + fmt::{Formatter, Result as FmtResult}, + marker::PhantomData, + mem::size_of, +}; +use serde::de::{ + DeserializeOwned, DeserializeSeed, Deserializer, EnumAccess, Error, MapAccess, SeqAccess, + VariantAccess, Visitor, +}; + +#[derive(Clone, Copy, Debug)] +pub(crate) struct RecordLimits { + pub(crate) bytes: usize, + pub(crate) allocation: usize, +} + +impl Default for RecordLimits { + fn default() -> Self { + Self { + bytes: 16 * 1024 * 1024, + allocation: 16 * 1024 * 1024, + } + } +} + +// Bincode's serde decoder forwards untrusted collection size hints without +// charging their allocation. The adapter charges before growth and hides hints. +pub(crate) fn decode( + bytes: &[u8], + budget: &mut usize, +) -> Result<(T, usize), DecodeError> { + bincode::serde::seed_decode_from_slice( + Bounded { + inner: PhantomData::, + budget, + }, + bytes, + bincode::config::standard(), + ) +} + +struct Bounded<'a, T> { + inner: T, + budget: &'a mut usize, +} + +fn charge(budget: &mut usize, bytes: usize) -> Result<(), E> { + *budget = budget + .checked_sub(bytes) + .ok_or_else(|| E::custom("record allocation limit"))?; + Ok(()) +} + +fn collection(budget: &mut usize, count: usize) -> Result<(), E> { + // A Vec with no size hint may grow geometrically and has a minimum capacity. + let bytes = count + .max(4) + .checked_mul(size_of::().max(1)) + .and_then(|bytes| bytes.checked_mul(2)) + .ok_or_else(|| E::custom("record allocation overflow"))?; + charge(budget, bytes) +} + +impl<'de, S: DeserializeSeed<'de>> DeserializeSeed<'de> for Bounded<'_, S> { + type Value = S::Value; + + fn deserialize>(self, inner: D) -> Result { + self.inner.deserialize(Bounded { + inner, + budget: self.budget, + }) + } +} + +macro_rules! deserialize { + ($($method:ident($($arg:ident: $ty:ty),*));* $(;)?) => {$( + fn $method>(self, $($arg: $ty,)* visitor: V) -> Result { + self.inner.$method($($arg,)* Bounded { inner: visitor, budget: self.budget }) + } + )*}; +} + +impl<'de, D: Deserializer<'de>> Deserializer<'de> for Bounded<'_, D> { + type Error = D::Error; + deserialize! { + deserialize_any(); deserialize_bool(); + deserialize_i8(); deserialize_i16(); deserialize_i32(); deserialize_i64(); deserialize_i128(); + deserialize_u8(); deserialize_u16(); deserialize_u32(); deserialize_u64(); deserialize_u128(); + deserialize_f32(); deserialize_f64(); deserialize_char(); + deserialize_str(); deserialize_bytes(); deserialize_option(); + deserialize_unit(); deserialize_unit_struct(name: &'static str); + deserialize_newtype_struct(name: &'static str); deserialize_seq(); + deserialize_tuple(len: usize); deserialize_tuple_struct(name: &'static str, len: usize); + deserialize_map(); deserialize_struct(name: &'static str, fields: &'static [&'static str]); + deserialize_enum(name: &'static str, variants: &'static [&'static str]); + deserialize_identifier(); deserialize_ignored_any(); + } + + fn deserialize_byte_buf>(self, visitor: V) -> Result { + self.deserialize_bytes(visitor) + } + + fn deserialize_string>(self, visitor: V) -> Result { + self.deserialize_str(visitor) + } + + fn is_human_readable(&self) -> bool { + self.inner.is_human_readable() + } +} + +macro_rules! visit { + ($($method:ident($($arg:ident: $ty:ty),*));* $(;)?) => {$( + fn $method(self, $($arg: $ty),*) -> Result { + self.inner.$method($($arg),*) + } + )*}; +} + +impl<'de, V: Visitor<'de>> Visitor<'de> for Bounded<'_, V> { + type Value = V::Value; + + fn expecting(&self, formatter: &mut Formatter<'_>) -> FmtResult { + self.inner.expecting(formatter) + } + + visit! { + visit_bool(v: bool); visit_i8(v: i8); visit_i16(v: i16); visit_i32(v: i32); + visit_i64(v: i64); visit_i128(v: i128); visit_u8(v: u8); visit_u16(v: u16); + visit_u32(v: u32); visit_u64(v: u64); visit_u128(v: u128); + visit_f32(v: f32); visit_f64(v: f64); visit_char(v: char); visit_unit(); visit_none(); + } + + fn visit_str(self, value: &str) -> Result { + charge::(self.budget, value.len())?; + self.inner.visit_str(value) + } + + fn visit_borrowed_str(self, value: &'de str) -> Result { + charge::(self.budget, value.len())?; + self.inner.visit_borrowed_str(value) + } + + fn visit_bytes(self, value: &[u8]) -> Result { + charge::(self.budget, value.len())?; + self.inner.visit_bytes(value) + } + + fn visit_borrowed_bytes(self, value: &'de [u8]) -> Result { + charge::(self.budget, value.len())?; + self.inner.visit_borrowed_bytes(value) + } + + fn visit_some>(self, inner: D) -> Result { + self.inner.visit_some(Bounded { + inner, + budget: self.budget, + }) + } + + fn visit_newtype_struct>(self, inner: D) -> Result { + self.inner.visit_newtype_struct(Bounded { + inner, + budget: self.budget, + }) + } + + fn visit_seq>(self, inner: S) -> Result { + let count = inner + .size_hint() + .ok_or_else(|| S::Error::custom("missing sequence length"))?; + self.inner.visit_seq(Sequence { + inner, + budget: self.budget, + count: Some(count), + }) + } + + fn visit_map>(self, inner: M) -> Result { + let count = inner + .size_hint() + .ok_or_else(|| M::Error::custom("missing map length"))?; + // Include per-entry bookkeeping, in addition to key/value storage below. + collection::(self.budget, count)?; + self.inner.visit_map(Bounded { + inner, + budget: self.budget, + }) + } + + fn visit_enum>(self, inner: E) -> Result { + self.inner.visit_enum(Bounded { + inner, + budget: self.budget, + }) + } +} + +struct Sequence<'a, S> { + inner: S, + budget: &'a mut usize, + count: Option, +} + +impl<'de, S: SeqAccess<'de>> SeqAccess<'de> for Sequence<'_, S> { + type Error = S::Error; + + fn next_element_seed>( + &mut self, + seed: T, + ) -> Result, Self::Error> { + if let Some(count) = self.count.take() { + collection::(self.budget, count)?; + } + self.inner.next_element_seed(Bounded { + inner: seed, + budget: self.budget, + }) + } + + fn size_hint(&self) -> Option { + Some(0) + } +} + +impl<'de, M: MapAccess<'de>> MapAccess<'de> for Bounded<'_, M> { + type Error = M::Error; + + fn next_key_seed>( + &mut self, + seed: K, + ) -> Result, Self::Error> { + charge::(self.budget, size_of::())?; + self.inner.next_key_seed(Bounded { + inner: seed, + budget: self.budget, + }) + } + + fn next_value_seed>( + &mut self, + seed: V, + ) -> Result { + charge::(self.budget, size_of::())?; + self.inner.next_value_seed(Bounded { + inner: seed, + budget: self.budget, + }) + } + + fn size_hint(&self) -> Option { + Some(0) + } +} + +impl<'a, 'de, E: EnumAccess<'de>> EnumAccess<'de> for Bounded<'a, E> { + type Error = E::Error; + type Variant = Bounded<'a, E::Variant>; + + fn variant_seed>( + self, + seed: V, + ) -> Result<(V::Value, Self::Variant), Self::Error> { + let (value, inner) = self.inner.variant_seed(Bounded { + inner: seed, + budget: &mut *self.budget, + })?; + Ok(( + value, + Bounded { + inner, + budget: self.budget, + }, + )) + } +} + +impl<'de, V: VariantAccess<'de>> VariantAccess<'de> for Bounded<'_, V> { + type Error = V::Error; + + fn unit_variant(self) -> Result<(), Self::Error> { + self.inner.unit_variant() + } + + fn newtype_variant_seed>( + self, + seed: T, + ) -> Result { + self.inner.newtype_variant_seed(Bounded { + inner: seed, + budget: self.budget, + }) + } + + fn tuple_variant>( + self, + len: usize, + visitor: T, + ) -> Result { + self.inner.tuple_variant( + len, + Bounded { + inner: visitor, + budget: self.budget, + }, + ) + } + + fn struct_variant>( + self, + fields: &'static [&'static str], + visitor: T, + ) -> Result { + self.inner.struct_variant( + fields, + Bounded { + inner: visitor, + budget: self.budget, + }, + ) + } +} diff --git a/examples/recursion/guest/src/kernel_tests.rs b/examples/recursion/guest/src/kernel_tests.rs new file mode 100644 index 0000000000..59627077eb --- /dev/null +++ b/examples/recursion/guest/src/kernel_tests.rs @@ -0,0 +1,64 @@ +#[cfg(not(feature = "akita"))] +use jolt::VerifierField as F; +#[cfg(feature = "akita")] +use jolt_akita::AkitaField as F; +use jolt_field::Field; +#[cfg(feature = "akita")] +use jolt_field::{PseudoMersenne, Ring}; +use jolt_sdk as jolt; + +#[path = "../../src/kernel_cases.rs"] +mod kernel_cases; +use kernel_cases::KernelCase; + +fn check_products(case: &KernelCase) { + let terms: Vec<[F; K]> = case + .products + .iter() + .map(|term| core::array::from_fn(|i| term[i])) + .collect(); + assert_eq!(F::sum_of_products(&terms), case.product_sums[K]); +} + +provable_with_config! { +fn check_field_kernels(bytes: &[u8]) -> u32 { + let (cases, consumed): (Vec>, _) = + bincode::serde::decode_from_slice(bytes, bincode::config::standard()).unwrap(); + assert_eq!(consumed, bytes.len()); + assert!(!cases.is_empty()); + for case in cases { + for (row, expected) in case.rows.iter().zip(&case.dots) { + assert_eq!(F::dot_product(row, &case.shared), *expected); + } + #[cfg(feature = "akita")] + { + let rows: Vec<&[F]> = case.rows.iter().map(Vec::as_slice).collect(); + let mut dots = vec![F::from_u64(0); rows.len()]; + // These must dispatch to the riscv64 kernels, never silently fall back. + assert!(F::inline_dot_rows(&rows, &case.shared, &mut dots)); + assert_eq!(dots, case.dots); + assert_eq!(F::inline_weighted_dot(&rows, &case.weights, &case.shared), Some(case.weighted)); + } + let signed = F::signed_sum(case.shared.iter().enumerate().map(|(i, value)| { + // While signed_sum lends its accumulator, nested folds must use + // software without changing the outer register-resident sum. + assert_eq!(F::dot_product(&case.weights, &case.dots), case.weighted); + assert_eq!(F::sum_of_products(&case.products), case.product_sums[4]); + let nested = F::signed_sum(case.shared.iter().enumerate().map(|(j, term)| (term, j % 2 == 0))); + assert_eq!(nested, case.signed); + (value, i % 2 == 0) + })); + assert_eq!(signed, case.signed); + check_products::<0>(&case); + check_products::<1>(&case); + check_products::<2>(&case); + check_products::<3>(&case); + check_products::<4>(&case); + for ((value, square), inverse) in case.shared.iter().zip(&case.squares).zip(&case.inverses) { + assert_eq!(*value * *value, *square); + assert_eq!(value.inverse(), *inverse); + } + } + 1 +} +} diff --git a/examples/recursion/guest/src/lib.rs b/examples/recursion/guest/src/lib.rs index 1c2b865eb4..2a070563db 100644 --- a/examples/recursion/guest/src/lib.rs +++ b/examples/recursion/guest/src/lib.rs @@ -1,71 +1,185 @@ use jolt_sdk::{self as jolt}; extern crate alloc; +use alloc::sync::Arc; +use alloc::vec::Vec; +use embedded_bytecode::EMBEDDED_BYTECODE; +use embedded_bytes::{EMBEDDED_BYTES, SETUP_DIGEST}; +use jolt::jolt_verifier::preprocessing::ProgramPreprocessing; +use jolt::jolt_verifier::VerifierPreprocessingWire; +#[cfg(feature = "akita")] +use jolt::jolt_verifier::{JoltProof, JoltVerifierPreprocessing as GenericVerifierPreprocessing}; +#[cfg(feature = "akita")] +use jolt_akita::TrustedBytes; +#[cfg(feature = "akita")] +use jolt_crypto::NoVectorCommitment; -use jolt::{JoltDevice, JoltVerifierPreprocessing, RV64IMACProof}; -use serde::de::DeserializeOwned; +use jolt::JoltDevice; +#[cfg(not(feature = "akita"))] +use jolt::{JoltVerifierPreprocessing, RV64IMACProof}; +#[cfg(feature = "akita")] +use jolt_akita::{AkitaField, AkitaScheme}; +#[cfg(feature = "akita")] +type AkitaVc = NoVectorCommitment; +#[cfg(feature = "akita")] +type RV64IMACProof = JoltProof; +#[cfg(feature = "akita")] +type JoltVerifierPreprocessing = GenericVerifierPreprocessing; +#[cfg(feature = "akita")] +type PreprocessingWire = VerifierPreprocessingWire; +#[cfg(not(feature = "akita"))] +type PreprocessingWire = VerifierPreprocessingWire; use jolt::{end_cycle_tracking, start_cycle_tracking}; +mod embedded_bytecode { + include!("./embedded_bytecode.rs"); +} + mod embedded_bytes { include!("./embedded_bytes.rs"); } include!("./provable_macro.rs"); -fn read_record(buffer: &[u8], offset: &mut usize) -> T { - assert!( - buffer.len().saturating_sub(*offset) >= 8, - "missing record length prefix" - ); - let mut len_bytes = [0u8; 8]; - len_bytes.copy_from_slice(&buffer[*offset..*offset + 8]); - *offset += 8; - - let len = usize::try_from(u64::from_le_bytes(len_bytes)).unwrap(); - assert!( - buffer.len().saturating_sub(*offset) >= len, - "truncated serialized record" - ); - let end = *offset + len; - let (value, consumed) = - bincode::serde::decode_from_slice(&buffer[*offset..end], bincode::config::standard()) - .unwrap(); - assert_eq!(consumed, len, "record decoder left trailing bytes"); - *offset = end; - value +mod bounded; +mod records; +use records::{RecordError, Records}; + +impl Records<'_> { + /// The baked setup's preprocessing with its compiled bytecode rows. + /// + /// The record carries the program without its rows, followed by the + /// preprocessing digest the host computed over the complete program. The + /// image fixes both, so the guest assembles the preprocessing from them + /// instead of re-encoding and hashing the program. + #[inline(never)] + fn preprocessing(&mut self) -> Result { + let PreprocessingWire { + mut program, + pcs_setup, + vc_setup, + } = self.record()?; + let preprocessing_digest: [u8; 32] = self.record()?; + if !EMBEDDED_BYTECODE.is_empty() { + let ProgramPreprocessing::Full(program) = &mut program else { + panic!("compiled bytecode requires full program preprocessing"); + }; + let program = Arc::make_mut(program); + assert!( + program.bytecode.bytecode.is_empty(), + "compiled bytecode placeholder is not empty" + ); + assert_eq!( + program.bytecode.code_size, + EMBEDDED_BYTECODE.len(), + "compiled bytecode shape mismatch" + ); + program.bytecode.bytecode = EMBEDDED_BYTECODE.to_vec(); + } + Ok(JoltVerifierPreprocessing { + program, + preprocessing_digest, + pcs_setup, + vc_setup, + }) + } +} + +/// Extend a slice of the guest's input region or its own image to `'static`. +/// +/// # Safety +/// +/// `bytes` must lie in the input region or the image, which are mapped for +/// the whole run and never written or freed. +#[cfg(feature = "akita")] +unsafe fn assume_static(bytes: &[u8]) -> &'static [u8] { + // SAFETY: the caller's contract; the pointer and length are unchanged. + unsafe { core::slice::from_raw_parts(bytes.as_ptr(), bytes.len()) } } provable_with_config! { fn verify(bytes: &[u8]) -> u32 { - let use_embedded = !embedded_bytes::EMBEDDED_BYTES.is_empty(); - let data_bytes = if use_embedded { - embedded_bytes::EMBEDDED_BYTES + verify_records(bytes).unwrap_or(0) +} +} + +fn setup_result(result: Result) -> Result { + if EMBEDDED_BYTES.is_empty() { + result } else { - bytes - }; + Ok(result.expect("corrupt embedded setup")) + } +} - let mut offset = 0; +fn verify_records(bytes: &[u8]) -> Result { + let mut input = Records::new(bytes, RECORD_LIMITS)?; + if EMBEDDED_BYTES.is_empty() { + input.authenticate_setup(SETUP_DIGEST.as_ref())?; + } + // The verifier setup comes from this image when the host baked it in + // (then the input carries only the proofs), else from the input. + let mut embedded = (!EMBEDDED_BYTES.is_empty()) + .then(|| Records::new(EMBEDDED_BYTES, RECORD_LIMITS).expect("corrupt embedded framing")); + let setup = embedded.as_mut().unwrap_or(&mut input); start_cycle_tracking("deserialize preprocessing"); - let verifier_preprocessing: JoltVerifierPreprocessing = read_record(data_bytes, &mut offset); + #[cfg_attr(not(feature = "akita"), expect(unused_mut))] + let mut verifier_preprocessing = if EMBEDDED_BYTES.is_empty() { + setup.record()? + } else { + setup + .preprocessing() + .expect("corrupt embedded preprocessing") + }; + + // Setup payloads the host detached from the record (Akita's expanded + // verifier keys), attached back as views of where they lie. + let payload_count: u32 = setup_result(setup.record())?; + setup_result(setup.check_count(payload_count, 1))?; + let payloads: Vec<&[u8]> = setup_result( + (0..payload_count) + .map(|_| setup.raw()) + .collect::>(), + )?; + #[cfg(feature = "akita")] + { + let payloads: Vec = payloads + .iter() + // SAFETY: every payload slice lies in the image or input region, + // and is bound by the image: embedded bytes directly, or the + // complete input setup authenticated against SETUP_DIGEST above. + .map(|payload| unsafe { TrustedBytes::new(assume_static(payload)) }) + .collect(); + setup_result( + verifier_preprocessing + .pcs_setup + .attach_prepared_payloads(&payloads) + .map_err(|_| RecordError), + )?; + } + #[cfg(not(feature = "akita"))] + if !payloads.is_empty() { + return setup_result(Err(RecordError)); + } end_cycle_tracking("deserialize preprocessing"); start_cycle_tracking("deserialize count of proofs"); - let n: u32 = read_record(data_bytes, &mut offset); + let n = input.proof_count()?; end_cycle_tracking("deserialize count of proofs"); let mut all_valid = true; for _ in 0..n { start_cycle_tracking("deserialize proof"); - let proof: RV64IMACProof = read_record(data_bytes, &mut offset); + let proof: RV64IMACProof = input.record()?; end_cycle_tracking("deserialize proof"); start_cycle_tracking("deserialize device"); - let device: JoltDevice = read_record(data_bytes, &mut offset); + let device: JoltDevice = input.record()?; end_cycle_tracking("deserialize device"); start_cycle_tracking("verification"); + #[cfg(not(feature = "akita"))] let is_valid = jolt::jolt_verifier::verify::< jolt::VerifierField, jolt::VerifierPCS, @@ -73,10 +187,21 @@ fn verify(bytes: &[u8]) -> u32 { jolt::VerifierTranscript<'_>, >(&verifier_preprocessing, &device, &proof, None) .is_ok(); + #[cfg(feature = "akita")] + let is_valid = jolt::jolt_verifier::verify::< + AkitaField, + AkitaScheme, + AkitaVc, + jolt::VerifierTranscript<'_>, + >(&verifier_preprocessing, &device, &proof, None) + .is_ok(); end_cycle_tracking("verification"); all_valid = all_valid && is_valid; } - all_valid as u32 -} + input.finish()?; + Ok(all_valid as u32) } + +#[cfg(feature = "kernel-tests")] +mod kernel_tests; diff --git a/examples/recursion/guest/src/records.rs b/examples/recursion/guest/src/records.rs new file mode 100644 index 0000000000..4136022718 --- /dev/null +++ b/examples/recursion/guest/src/records.rs @@ -0,0 +1,294 @@ +use crate::bounded; +use crate::bounded::RecordLimits; +use jolt_inlines_blake2::Blake2b; +use serde::de::DeserializeOwned; + +#[derive(Debug, Clone, Copy)] +pub(crate) struct RecordError; + +/// Length-prefixed records, padded with zeroes to eight bytes relative to base. +pub(crate) struct Records<'a> { + buffer: &'a [u8], + offset: usize, + base: usize, + limits: RecordLimits, +} + +impl<'a> Records<'a> { + pub(crate) fn new(buffer: &'a [u8], limits: RecordLimits) -> Result { + let mut records = Self { + buffer, + offset: 0, + base: 0, + limits, + }; + let pad = records.len_prefix()?; + if pad >= 8 { + return Err(RecordError); + } + let end = records.offset.checked_add(pad).ok_or(RecordError)?; + let padding = buffer.get(records.offset..end).ok_or(RecordError)?; + if padding.iter().any(|byte| *byte != 0) + || (buffer.as_ptr() as usize) + .checked_add(end) + .ok_or(RecordError)? + % 8 + != 0 + { + return Err(RecordError); + } + records.offset = end; + records.base = end; + Ok(records) + } + + fn len_prefix(&mut self) -> Result { + let end = self.offset.checked_add(8).ok_or(RecordError)?; + let bytes = self.buffer.get(self.offset..end).ok_or(RecordError)?; + let mut length = [0; 8]; + length.copy_from_slice(bytes); + self.offset = end; + usize::try_from(u64::from_le_bytes(length)).map_err(|_| RecordError) + } + + pub(crate) fn raw(&mut self) -> Result<&'a [u8], RecordError> { + let len = self.len_prefix()?; + let end = self.offset.checked_add(len).ok_or(RecordError)?; + let bytes = self.buffer.get(self.offset..end).ok_or(RecordError)?; + let padded = end + .checked_sub(self.base) + .and_then(|len| len.checked_next_multiple_of(8)) + .and_then(|len| self.base.checked_add(len)) + .ok_or(RecordError)?; + let padding = self.buffer.get(end..padded).ok_or(RecordError)?; + if padding.iter().any(|byte| *byte != 0) { + return Err(RecordError); + } + self.offset = padded; + Ok(bytes) + } + + pub(crate) fn record(&mut self) -> Result { + let bytes = self.raw()?; + if bytes.len() > self.limits.bytes { + return Err(RecordError); + } + let mut budget = self.limits.allocation; + let (value, consumed) = bounded::decode(bytes, &mut budget).map_err(|_| RecordError)?; + if consumed != bytes.len() { + return Err(RecordError); + } + Ok(value) + } + + pub(crate) fn proof_count(&mut self) -> Result { + let count: u32 = self.record()?; + if count == 0 { + return Err(RecordError); + } + self.check_count(count, 2)?; + Ok(count) + } + + pub(crate) fn finish(&self) -> Result<(), RecordError> { + if self.offset != self.buffer.len() { + return Err(RecordError); + } + Ok(()) + } + + /// Authenticate the complete input setup, including framed detached bodies, + /// before any setup decoder or trusted view sees it. The pin is image data. + pub(crate) fn authenticate_setup( + &self, + expected: Option<&[u8; 64]>, + ) -> Result<(), RecordError> { + let expected = expected.ok_or(RecordError)?; + let mut setup = Self { + buffer: self.buffer, + offset: self.offset, + base: self.base, + limits: self.limits, + }; + setup.raw()?; + let count: u32 = setup.record()?; + setup.check_count(count, 1)?; + for _ in 0..count { + setup.raw()?; + } + let section = self + .buffer + .get(self.offset..setup.offset) + .ok_or(RecordError)?; + if &Blake2b::digest(section) != expected { + return Err(RecordError); + } + Ok(()) + } + + pub(crate) fn check_count( + &self, + count: u32, + records_per_item: usize, + ) -> Result<(), RecordError> { + let minimum = usize::try_from(count) + .ok() + .and_then(|count| count.checked_mul(records_per_item)) + .and_then(|count| count.checked_mul(8)) + .ok_or(RecordError)?; + if minimum > self.buffer.len().saturating_sub(self.offset) { + return Err(RecordError); + } + Ok(()) + } +} + +#[cfg(test)] +mod tests { + use super::*; + #[cfg(feature = "akita")] + use jolt_akita::AkitaField as TestField; + use jolt_sdk::JoltDevice; + #[cfg(not(feature = "akita"))] + use jolt_sdk::VerifierField as TestField; + + fn parse_records(bytes: &[u8]) -> Result, RecordError> { + Records::new(bytes, RecordLimits::default()) + } + + fn frame(body: &[u8]) -> Vec { + let mut bytes = vec![0; 23 + body.len().next_multiple_of(8)]; + let pad = (8 - (bytes.as_ptr() as usize + 8) % 8) % 8; + bytes[..8].copy_from_slice(&(pad as u64).to_le_bytes()); + let base = 8 + pad; + bytes[base..base + 8].copy_from_slice(&(body.len() as u64).to_le_bytes()); + bytes[base + 8..base + 8 + body.len()].copy_from_slice(body); + bytes.truncate(base + 8 + body.len().next_multiple_of(8)); + bytes + } + + fn verdict(bytes: &[u8]) -> u32 { + parse_records(bytes) + .and_then(|mut records| records.record::()) + .map(|_| 1) + .unwrap_or(0) + } + + #[test] + fn malformed_framing_rejects_without_panicking() { + let valid = frame(&[42u8]); + assert_eq!(verdict::(&valid), 1); + for end in 0..valid.len() { + assert_eq!(verdict::(&valid[..end]), 0, "truncation at {end}"); + } + let base = parse_records(&valid).unwrap().base; + let mut oversized = valid.clone(); + oversized[base..base + 8].copy_from_slice(&u64::MAX.to_le_bytes()); + assert_eq!(verdict::(&oversized), 0); + oversized[..8].copy_from_slice(&u64::MAX.to_le_bytes()); + assert_eq!(verdict::(&oversized), 0); + let mut padding = valid.clone(); + *padding.last_mut().unwrap() = 1; + assert_eq!(verdict::(&padding), 0); + assert_eq!(verdict::(&frame(&[42, 43])), 0); + assert!(parse_records(&valid) + .unwrap() + .check_count(u32::MAX, 2) + .is_err()); + } + + #[test] + fn nested_collection_lengths_are_bounded_before_allocation() { + let mut body = vec![253]; + body.extend_from_slice(&u64::MAX.to_le_bytes()); + assert_eq!(verdict::>>(&frame(&body)), 0); + assert_eq!(verdict::>(&frame(&body)), 0); + // A compact wire length must not reserve a large vector of large items. + let body = + bincode::serde::encode_to_vec(100_000usize, bincode::config::standard()).unwrap(); + assert_eq!(verdict::>(&frame(&body)), 0); + let count = 400_000usize; + let mut body = bincode::serde::encode_to_vec(count, bincode::config::standard()).unwrap(); + body.resize(body.len() + count, 0); // Valid empty vectors, excessive aggregate storage. + assert_eq!(verdict::>>(&frame(&body)), 0); + let nested = vec![vec![1u8, 2, 3], vec![], vec![4]]; + let body = bincode::serde::encode_to_vec(&nested, bincode::config::standard()).unwrap(); + let decoded: Vec> = parse_records(&frame(&body)).unwrap().record().unwrap(); + assert_eq!(decoded, nested); + } + + #[test] + fn noncanonical_field_and_malformed_devices_reject() { + let size = if cfg!(feature = "akita") { 16 } else { 32 }; + assert_eq!(verdict::(&frame(&vec![0; size])), 1); + assert_eq!(verdict::(&frame(&vec![255; size])), 0); + // Four empty byte vectors followed by an invalid boolean. + assert_eq!(verdict::(&frame(&[0, 0, 0, 0, 2])), 0); + // A vector length that cannot fit in the body, including the u64 tag. + let mut huge_vector = vec![253]; + huge_vector.extend_from_slice(&u64::MAX.to_le_bytes()); + assert_eq!(verdict::(&frame(&huge_vector)), 0); + let device = + bincode::serde::encode_to_vec(JoltDevice::default(), bincode::config::standard()) + .unwrap(); + assert_eq!(verdict::(&frame(&device)), 1); + for end in 0..device.len() { + assert_eq!(verdict::(&frame(&device[..end])), 0); + } + } + #[test] + fn setup_pin_rejects_substitution_of_each_detached_body() { + let mut bytes = frame(&[7; 8]); + let base = parse_records(&bytes).unwrap().base; + let mut section = bytes[base..].to_vec(); + let mut append = |body: &[u8]| { + section.extend_from_slice(&(body.len() as u64).to_le_bytes()); + section.extend_from_slice(body); + section.resize(section.len().next_multiple_of(8), 0); + }; + append(&[3]); + for value in [11, 22, 33] { + append(&[value; 8]); + } + let expected = Blake2b::digest(§ion); + // Reserve before computing the alignment of the final input buffer. + bytes = vec![0; section.len() + 15]; + let pad = (8 - (bytes.as_ptr() as usize + 8) % 8) % 8; + let base = 8 + pad; + bytes[..8].copy_from_slice(&(pad as u64).to_le_bytes()); + bytes[base..base + section.len()].copy_from_slice(§ion); + bytes.truncate(base + section.len()); + let records = parse_records(&bytes).unwrap(); + assert!(records.authenticate_setup(Some(&expected)).is_ok()); + assert!(records.authenticate_setup(None).is_err()); + // Setup record, key matrix, catalog view, and terminal cache respectively. + for offset in [8, 40, 56, 72] { + bytes[base + offset] ^= 1; + assert!(parse_records(&bytes) + .unwrap() + .authenticate_setup(Some(&expected)) + .is_err()); + bytes[base + offset] ^= 1; + } + } + + #[test] + fn batch_requires_a_proof_and_exact_end_of_input() { + let empty = frame(&[0]); + assert!(parse_records(&empty).unwrap().proof_count().is_err()); + let mut batch = frame(&[1]); + // A count followed by two minimal records exercises the framing contract. + batch.extend_from_slice(&[0; 16]); + let mut records = parse_records(&batch).unwrap(); + assert_eq!(records.proof_count().unwrap(), 1); + records.raw().unwrap(); + records.raw().unwrap(); + assert!(records.finish().is_ok()); + batch.push(0); + let mut records = parse_records(&batch).unwrap(); + records.proof_count().unwrap(); + records.raw().unwrap(); + records.raw().unwrap(); + assert!(records.finish().is_err()); + } +} diff --git a/examples/recursion/src/kernel_cases.rs b/examples/recursion/src/kernel_cases.rs new file mode 100644 index 0000000000..50eb48672b --- /dev/null +++ b/examples/recursion/src/kernel_cases.rs @@ -0,0 +1,16 @@ +use serde::{Deserialize, Serialize}; + +/// Inputs and native software results transported to the compiled kernel checks. +#[derive(Serialize, Deserialize)] +pub(crate) struct KernelCase { + pub rows: Vec>, + pub shared: Vec, + pub weights: Vec, + pub products: Vec<[F; 4]>, + pub dots: Vec, + pub weighted: F, + pub signed: F, + pub product_sums: [F; 5], + pub squares: Vec, + pub inverses: Vec>, +} diff --git a/examples/recursion/src/kernel_tests.rs b/examples/recursion/src/kernel_tests.rs new file mode 100644 index 0000000000..a10525fde9 --- /dev/null +++ b/examples/recursion/src/kernel_tests.rs @@ -0,0 +1,105 @@ +use super::kernel_cases::KernelCase; +use super::{GuestField as F, GuestProgram, RecordLimits}; +use jolt_field::{CanonicalEncoding, Field, Ring}; + +fn next_field(seed: &mut u64, index: usize) -> F { + match index % 8 { + 0 => F::from_u64(0), + 1 => F::from_u64(1), + 2 => -F::from_u64(1), + _ => { + let mut bytes = [0; 32]; + for chunk in bytes.chunks_exact_mut(8) { + *seed ^= *seed << 13; + *seed ^= *seed >> 7; + *seed ^= *seed << 17; + chunk.copy_from_slice(&seed.to_le_bytes()); + } + F::from_bytes_le_reduced(&bytes) + } + } +} + +fn product_sum(terms: &[[F; 4]]) -> F { + let factors: Vec<[F; K]> = terms + .iter() + .map(|term| core::array::from_fn(|i| term[i])) + .collect(); + F::sum_of_products(&factors) +} + +pub(super) fn run() { + let mut cases = Vec::new(); + for mut seed in [0x1234_5678_9abc_def0, 0xfedc_ba98_7654_3210] { + // Every one-to-five-row block tail, with and without a preceding block; + // every zero-to-three-element tail, including empty and multi-block dots. + for row_count in 1..=10 { + for width in 0..12 { + let rows: Vec> = (0..row_count) + .map(|row| { + (0..width) + .map(|column| next_field(&mut seed, row + column)) + .collect() + }) + .collect(); + let shared: Vec = (0..width).map(|i| next_field(&mut seed, i)).collect(); + let weights: Vec = (0..row_count).map(|i| next_field(&mut seed, i)).collect(); + let products: Vec<[F; 4]> = (0..width) + .map(|i| core::array::from_fn(|j| next_field(&mut seed, i + j))) + .collect(); + let dots: Vec = rows + .iter() + .map(|row| F::dot_product(row, &shared)) + .collect(); + let weighted = F::dot_product(&weights, &dots); + let signed = F::signed_sum( + shared + .iter() + .enumerate() + .map(|(i, value)| (value, i % 2 == 0)), + ); + let product_sums = [ + product_sum::<0>(&products), + product_sum::<1>(&products), + product_sum::<2>(&products), + product_sum::<3>(&products), + product_sum::<4>(&products), + ]; + let squares = shared.iter().map(|value| *value * *value).collect(); + let inverses = shared.iter().map(Field::inverse).collect(); + cases.push(KernelCase { + rows, + shared, + weights, + products, + dots, + weighted, + signed, + product_sums, + squares, + inverses, + }); + } + } + } + let encoded = bincode::serde::encode_to_vec(&cases, bincode::config::standard()).unwrap(); + let input = postcard::to_stdvec(&encoded.as_slice()).unwrap(); + let config = GuestProgram::Fibonacci.get_memory_config(true, input.len()); + let output_dir = super::get_guest_src_dir(); + super::generate_provable_macro( + GuestProgram::Fibonacci, + true, + &config, + &output_dir, + RecordLimits::default(), + ); + super::clear_embedded_bytes(&output_dir, &[]); + let mut program = super::configured_recursion_program(config); + program.set_func("check_field_kernels"); + program.add_guest_feature("kernel-tests"); + program.build("/tmp/jolt-guest-targets"); + let (rows, device) = program.execute_with_output(&input, &[], &[]); + assert!(!device.panic, "field kernel differential guest panicked"); + assert_eq!(super::decode_verifier_output(&device.outputs), 1); + tracing::info!("{} field kernel cases passed in {rows} rows", cases.len()); +} diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index 67336b6815..f31431549a 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -1,44 +1,144 @@ -use clap::{Parser, Subcommand}; +#[path = "../guest/src/bounded.rs"] +mod bounded; +use bounded::RecordLimits; + +use clap::{Parser, Subcommand, ValueEnum}; +#[cfg(feature = "akita")] +use jolt_akita::{AkitaChunkProfile, AkitaField, AkitaScheme, TrustedBytes}; +use jolt_field::Ring; +use jolt_inlines_blake2::Blake2b; +use jolt_inlines_keccak256 as _; +#[cfg(feature = "ntt-inline")] +use jolt_inlines_ntt as _; +use jolt_poly::{CompressedPoly, UnivariatePoly}; +use jolt_riscv::JoltInstructionRow; +#[cfg(feature = "akita")] +use jolt_sdk::host::JoltProgramSource; use jolt_sdk::host::Program; -use jolt_sdk::ProgramPreprocessingMode; +#[cfg(feature = "akita")] +use jolt_sdk::jolt_prover::akita::preprocessing::AkitaVc; +use jolt_sdk::jolt_verifier::preprocessing::ProgramPreprocessing as VerifierProgramPreprocessing; +use jolt_sdk::jolt_verifier::proof::JoltProofClaims; +#[cfg(feature = "akita")] +use jolt_sdk::jolt_verifier::{JoltProof, JoltVerifierPreprocessing}; +#[cfg(feature = "akita")] +use jolt_sdk::ProofTranscript; use jolt_sdk::{ - JoltDevice, JoltProverPreprocessing, JoltVerifierPreprocessing, MemoryConfig, RV64IMACProof, - VerifierTranscript, + JoltDevice, MemoryConfig, MemoryLayout, ProgramPreprocessingMode, VerifierTranscript, }; +#[cfg(not(feature = "akita"))] +use jolt_sdk::{JoltProverPreprocessing, JoltVerifierPreprocessing, RV64IMACProof, VerifierField}; +use jolt_sumcheck::{ClearProof, SumcheckProof}; use serde::{de::DeserializeOwned, Serialize}; use std::cmp::PartialEq; use std::path::{Path, PathBuf}; +use std::sync::Arc; use std::time::Instant; -use tracing::{error, info}; +use tracing::info; + +/// The proof and verifier preprocessing the guest consumes, per commitment +/// build: Dory on the homomorphic build, Akita on `--features akita`. +#[cfg(not(feature = "akita"))] +type GuestProof = RV64IMACProof; +#[cfg(not(feature = "akita"))] +type GuestVerifierPreprocessing = JoltVerifierPreprocessing; +#[cfg(feature = "akita")] +type GuestProof = JoltProof; +#[cfg(feature = "akita")] +type GuestVerifierPreprocessing = JoltVerifierPreprocessing; + +#[cfg(feature = "akita")] +type GuestField = AkitaField; +#[cfg(not(feature = "akita"))] +type GuestField = VerifierField; + +/// Guest records are `[u64 length][body][zero padding to 8 bytes]`, so every +/// body starts 8-byte aligned relative to the stream: raw payloads (the +/// Akita setup keys) are then used where they lie, and the Akita +/// public matrix is viewed in place without copying. +const RECORD_ALIGN: usize = 8; fn push_record(buffer: &mut Vec, value: &T) { let bytes = bincode::serde::encode_to_vec(value, bincode::config::standard()).unwrap(); + push_raw(buffer, &bytes); +} + +/// Raw bytes behind a length prefix: the guest consumes them in place instead +/// of decoding a `Vec` byte by byte. +fn push_raw(buffer: &mut Vec, bytes: &[u8]) { let len = u64::try_from(bytes.len()).unwrap(); buffer.extend_from_slice(&len.to_le_bytes()); - buffer.extend_from_slice(&bytes); + buffer.extend_from_slice(bytes); + buffer.resize(buffer.len().next_multiple_of(RECORD_ALIGN), 0); } -fn read_record(buffer: &[u8], offset: &mut usize) -> Result { +/// The stream's leading record: `pad` zero bytes chosen so that, at the +/// address the guest sees the stream, every following body is 8-byte +/// aligned. Only this record is not padded to 8 bytes itself. +fn push_alignment_pad(buffer: &mut Vec, pad: usize) { + let len = u64::try_from(pad).unwrap(); + buffer.extend_from_slice(&len.to_le_bytes()); + buffer.resize(buffer.len() + pad, 0); +} + +fn read_raw<'a>(buffer: &'a [u8], offset: &mut usize) -> Result<&'a [u8], String> { if buffer.len().saturating_sub(*offset) < 8 { return Err("missing record length prefix".to_string()); } let mut len_bytes = [0u8; 8]; len_bytes.copy_from_slice(&buffer[*offset..*offset + 8]); *offset += 8; - let len = usize::try_from(u64::from_le_bytes(len_bytes)).unwrap(); if buffer.len().saturating_sub(*offset) < len { - return Err("truncated serialized record".to_string()); + return Err("truncated raw record".to_string()); } let end = *offset + len; - let (value, consumed) = - bincode::serde::decode_from_slice(&buffer[*offset..end], bincode::config::standard()) - .map_err(|error| error.to_string())?; - assert_eq!(consumed, len, "record decoder left trailing bytes"); - *offset = end; + let bytes = &buffer[*offset..end]; + *offset = end.next_multiple_of(RECORD_ALIGN).min(buffer.len()); + Ok(bytes) +} + +fn read_record(buffer: &[u8], offset: &mut usize) -> Result { + let bytes = read_raw(buffer, offset)?; + let (value, consumed) = bincode::serde::decode_from_slice(bytes, bincode::config::standard()) + .map_err(|error| error.to_string())?; + assert_eq!(consumed, bytes.len(), "record decoder left trailing bytes"); Ok(value) } +impl RecordLimits { + // Image construction already trusts these files. Runtime input never sets limits. + fn read_record( + &mut self, + buffer: &[u8], + offset: &mut usize, + ) -> Result { + let bytes = read_raw(buffer, offset)?; + let mut remaining = usize::MAX; + let (value, consumed) = + bounded::decode(bytes, &mut remaining).map_err(|error| error.to_string())?; + assert_eq!(consumed, bytes.len(), "record decoder left trailing bytes"); + let charged = usize::MAX - remaining; + // Reserve headroom for other honest proofs with the same image's setup. + let allocation = charged + .checked_mul(2) + .and_then(usize::checked_next_power_of_two) + .ok_or("record allocation budget overflow")?; + self.allocation = self.allocation.max(allocation); + self.bytes = self.bytes.max( + bytes + .len() + .checked_next_power_of_two() + .ok_or("record byte limit overflow")?, + ); + info!( + "Record: {} encoded bytes, {charged} charged bytes", + bytes.len() + ); + Ok(value) + } +} + fn get_guest_src_dir() -> PathBuf { let manifest_dir = Path::new(env!("CARGO_MANIFEST_DIR")); let guest_src_dir = manifest_dir.join("guest").join("src"); @@ -55,6 +155,43 @@ struct Cli { #[derive(Subcommand)] enum Commands { + /// Write a typed negative fixture from an existing proof stream. + Tamper { + #[arg(long)] + example: String, + #[arg(long)] + workdir: PathBuf, + #[arg(long)] + output: PathBuf, + #[arg(long, value_enum)] + target: TamperTarget, + /// Zero-based proof index to modify; other proofs remain valid. + #[arg(long, default_value_t = 0)] + proof_index: u32, + }, + /// Check malformed transport inputs against one compiled verifier image. + CheckInputFraming { + #[arg(long)] + example: String, + #[arg(long)] + workdir: PathBuf, + #[arg(long)] + embed: bool, + }, + /// Compare compiled field kernels with native software results under the tracer. + #[cfg(feature = "field-inline")] + CheckFieldKernels, + + /// Write a parseable proof stream with one bit of its first Akita opening proof flipped. + #[cfg(feature = "akita")] + TamperOpening { + #[arg(long)] + example: String, + #[arg(long)] + workdir: PathBuf, + #[arg(long)] + output: PathBuf, + }, /// Generate proofs for guest programs Generate { /// Example to run (fibonacci or muldiv) @@ -66,6 +203,9 @@ enum Commands { /// Use committed program mode for the inner guest proof #[arg(long)] committed_bytecode: bool, + /// Number of inner proofs the recursion guest verifies in one run + #[arg(long, value_name = "COUNT", default_value_t = 1)] + proofs: usize, }, /// Verify proofs and optionally embed them Verify { @@ -90,9 +230,12 @@ enum Commands { /// Embed proof data to specified directory #[arg(long, value_name = "DIRECTORY", num_args = 0..=1)] embed: Option>, - /// Trace to disk instead of memory (redues memory usage) + /// Store trace rows on disk instead of executing without row storage #[arg(short = 'd', long = "disk", default_value_t = false)] trace_to_file: bool, + /// Required guest verdict; a panic is neither verdict + #[arg(long, value_enum, default_value = "accept")] + expect: ExpectedVerification, }, } @@ -102,11 +245,12 @@ enum GuestProgram { Muldiv, } -#[derive(Clone, Copy, PartialEq, Eq)] +#[derive(Clone, PartialEq, Eq)] enum RunConfig { Prove, - Trace, - TraceToFile, + Trace(ExpectedVerification), + TraceToFile(ExpectedVerification), + CheckInputFraming, } impl GuestProgram { @@ -132,65 +276,39 @@ impl GuestProgram { } } - fn inputs(&self) -> Vec> { - match self { - GuestProgram::Fibonacci => { - vec![postcard::to_stdvec(&2u32).unwrap()] - } - GuestProgram::Muldiv => { - vec![postcard::to_stdvec(&(10u32, 5u32, 2u32)).unwrap()] - } - } + /// `count` distinct inputs: one inner proof each, all verified by one run + /// of the recursion guest (setup decode is paid once per run). + fn inputs(&self, count: usize) -> Vec> { + (0..count as u32) + .map(|index| match self { + GuestProgram::Fibonacci => postcard::to_stdvec(&(2u32 + index)).unwrap(), + GuestProgram::Muldiv => { + postcard::to_stdvec(&(10u32 + index, 5u32, 2u32 + index)).unwrap() + } + }) + .collect() } - fn get_memory_config(&self, use_embed: bool) -> MemoryConfig { - match self { - GuestProgram::Fibonacci => { - if use_embed { - MemoryConfig { - max_input_size: 4096, - max_output_size: 4096, - max_untrusted_advice_size: 0, - max_trusted_advice_size: 0, - heap_size: 134217728, - stack_size: 33554432, - program_size: None, - } - } else { - MemoryConfig { - max_input_size: 2000000, - max_output_size: 4096, - max_untrusted_advice_size: 0, - max_trusted_advice_size: 0, - heap_size: 33554432, - stack_size: 33554432, - program_size: None, - } - } - } - GuestProgram::Muldiv => { - if use_embed { - MemoryConfig { - max_input_size: 1024, - max_output_size: 4096, - max_untrusted_advice_size: 0, - max_trusted_advice_size: 0, - heap_size: 134217728, - stack_size: 33554432, - program_size: None, - } - } else { - MemoryConfig { - max_input_size: 2000000, - max_output_size: 4096, - max_untrusted_advice_size: 0, - max_trusted_advice_size: 0, - heap_size: 33554432, - stack_size: 33554432, - program_size: None, - } - } - } + fn get_memory_config(&self, use_embed: bool, input_section_len: usize) -> MemoryConfig { + // Eight bytes for the pad prefix, at most seven pad bytes, ten for + // postcard's length, and one byte for the strict input-size bound. + let max_input_size = input_section_len + .checked_add(26) + .and_then(usize::checked_next_power_of_two) + .and_then(|size| u64::try_from(size).ok()) + .expect("recursion input size overflow"); + MemoryConfig { + max_input_size, + max_output_size: 4096, + max_untrusted_advice_size: 0, + max_trusted_advice_size: 0, + heap_size: if *self == GuestProgram::Muldiv && !use_embed { + 33554432 + } else { + 134217728 + }, + stack_size: 33554432, + program_size: None, } } @@ -214,14 +332,24 @@ impl GuestProgram { } } -fn generate_provable_macro(guest: GuestProgram, use_embed: bool, output_dir: &Path) { - let memory_config = guest.get_memory_config(use_embed); +fn generate_provable_macro( + guest: GuestProgram, + use_embed: bool, + memory_config: &MemoryConfig, + output_dir: &Path, + limits: RecordLimits, +) { let max_trace_length = guest.get_max_trace_length(use_embed); let macro_content = format!( - r#"macro_rules! provable_with_config {{ + r#"const RECORD_LIMITS: bounded::RecordLimits = bounded::RecordLimits {{ + bytes: {record_bytes}, + allocation: {record_allocation}, +}}; +macro_rules! provable_with_config {{ ($item: item) => {{ #[jolt::provable( + input_error = 0, max_input_size = {}, max_output_size = {}, max_untrusted_advice_size = {}, @@ -239,7 +367,9 @@ fn generate_provable_macro(guest: GuestProgram, use_embed: bool, output_dir: &Pa memory_config.max_trusted_advice_size, memory_config.heap_size, memory_config.stack_size, - max_trace_length + max_trace_length, + record_bytes = limits.bytes, + record_allocation = limits.allocation, ); let provable_macro_path = output_dir.join("provable_macro.rs"); @@ -258,12 +388,23 @@ fn generate_provable_macro(guest: GuestProgram, use_embed: bool, output_dir: &Pa ); } -fn check_data_integrity(all_groups_data: &[u8]) -> (u32, u32) { +/// Where the proof section starts in a saved stream: the setup section (the +/// verifier preprocessing and its detached payloads) precedes it, so an +/// embedded build can bake the setup into the guest image and feed only the +/// proofs as input. +struct StreamLayout { + setup_len: usize, + proof_count: u32, + limits: RecordLimits, +} + +fn check_data_integrity(all_groups_data: &[u8]) -> StreamLayout { info!("Checking data integrity..."); let mut offset = 0; - let verifier_preprocessing: JoltVerifierPreprocessing = - read_record(all_groups_data, &mut offset).unwrap(); + let mut limits = RecordLimits::default(); + let verifier_preprocessing: GuestVerifierPreprocessing = + limits.read_record(all_groups_data, &mut offset).unwrap(); let verifier_bytes = bincode::serde::encode_to_vec(&verifier_preprocessing, bincode::config::standard()) .unwrap(); @@ -271,33 +412,41 @@ fn check_data_integrity(all_groups_data: &[u8]) -> (u32, u32) { "✓ Verifier preprocessing deserialized successfully ({} bytes)", verifier_bytes.len() ); + let payload_count: u32 = limits.read_record(all_groups_data, &mut offset).unwrap(); + for i in 0..payload_count { + let payload = read_raw(all_groups_data, &mut offset).expect("decode setup payload"); + info!("Setup payload {i}: {} bytes", payload.len()); + } + let setup_len = offset; - let n: u32 = read_record(all_groups_data, &mut offset).unwrap(); + let n: u32 = limits.read_record(all_groups_data, &mut offset).unwrap(); info!("✓ Number of proofs deserialized: {n}"); for i in 0..n { - match read_record::(all_groups_data, &mut offset) { - Ok(_) => info!("✓ Proof {i} deserialized"), - Err(e) => error!("✗ Failed to deserialize proof {i}: {e:?}"), - } - match read_record::(all_groups_data, &mut offset) { - Ok(_) => info!("✓ Device {i} deserialized"), - Err(e) => error!("✗ Failed to deserialize device {i}: {e:?}"), - } + let _: GuestProof = limits + .read_record(all_groups_data, &mut offset) + .expect("decode proof"); + let _: JoltDevice = limits + .read_record(all_groups_data, &mut offset) + .expect("decode device"); + info!("Decoded proof and device {i}"); } - let remaining_data: Vec = all_groups_data[offset..].to_vec(); - info!("✓ Remaining data size: {} bytes", remaining_data.len()); - + let remaining = all_groups_data.len() - offset; + info!("✓ Remaining data size: {remaining} bytes"); assert_eq!( - remaining_data.len(), - 0, + remaining, 0, "Not all data was consumed during deserialization" ); - (n, remaining_data.len() as u32) + StreamLayout { + setup_len, + proof_count: n, + limits, + } } +#[cfg(not(feature = "akita"))] fn preprocess_guest_prover( guest_prog: &mut Program, memory_config: MemoryConfig, @@ -307,11 +456,182 @@ fn preprocess_guest_prover( jolt_sdk::preprocess_program(guest_prog, memory_config, max_trace_length, mode).unwrap() } +/// The packed (Akita) inner proofs use the modular prover over fp128 and the +/// packed verifier preprocessing from +/// the host's own verification of each proof. +#[cfg(feature = "akita")] +fn collect_guest_proofs( + guest: GuestProgram, + target_dir: &str, + _use_embed: bool, + mode: ProgramPreprocessingMode, + proofs: usize, +) -> Vec { + use jolt_akita::AkitaScheduleArtifacts; + use jolt_program::execution::{ExecutionBackend, TraceInputs}; + use jolt_program::preprocess::JoltProgramPreprocessing; + use jolt_sdk::jolt_prover::akita; + use jolt_sdk::jolt_prover::akita::preprocessing; + use jolt_sdk::jolt_prover::{JoltBackend, ProverConfig}; + use jolt_witness::{JoltVmWitnessConfig, JoltVmWitnessInputs, TraceBackend}; + use tracer::execution_backend::TracerBackend; + + let max_trace_length = guest.get_max_trace_length(false); + let mut memory_config = MemoryConfig { + heap_size: 32768u64, + ..Default::default() + }; + let mut program = Program::new(guest.name()); + #[cfg(feature = "field-inline")] + program.enable_field_inline(); + program.set_func(guest.func()); + program.set_std(false); + program.set_memory_config(memory_config); + program.build(target_dir); + let jolt_program = Arc::new(program.build_jolt_program().expect("build inner program")); + let inputs = guest.inputs(proofs); + let (_, _, _, io_device) = program.trace(&inputs[0], &[], &[]); + memory_config.program_size = Some(io_device.memory_layout.program_size); + let program_data = Arc::new( + JoltProgramPreprocessing::new( + jolt_program.expanded_bytecode.clone(), + jolt_program.memory_init.clone(), + io_device.memory_layout.clone(), + jolt_program.entry_address, + max_trace_length, + program.instruction_profile(), + ) + .expect("inner program preprocessing"), + ); + let schedule_artifacts = + AkitaScheduleArtifacts::shared_from_default_directory(AkitaChunkProfile::new(8, 2)); + let mut all_groups_data = Vec::new(); + let n = inputs.len() as u32; + let mut verifier_preprocessing = None; + let mut records = Vec::new(); + for input_bytes in inputs { + let trace = TracerBackend::new() + .trace( + &jolt_program, + TraceInputs::new(input_bytes, Vec::new(), Vec::new(), memory_config), + ) + .expect("trace inner program"); + let config = ProverConfig::derive_from_dimensions::( + trace.dimensions, + &program_data.memory_layout, + program_data.ram.min_bytecode_address, + program_data.ram.bytecode_words.len(), + max_trace_length, + ) + .expect("inner proof configuration"); + let prover_preprocessing = match mode { + ProgramPreprocessingMode::Committed => preprocessing::preprocess_committed( + &schedule_artifacts, + program_data.as_ref().clone(), + &config, + ), + ProgramPreprocessingMode::Full => preprocessing::preprocess_full( + &schedule_artifacts, + program_data.as_ref().clone(), + &config, + ), + } + .expect("packed preprocessing"); + let public_io = trace.device.clone(); + let witness = TraceBackend::new( + JoltVmWitnessConfig::new( + config.trace_length.ilog2() as usize, + config.ram_K, + config.one_hot_config, + ), + JoltVmWitnessInputs::new(&jolt_program, &program_data, trace), + ); + #[cfg(feature = "field-inline")] + let witness = witness.with_field_inline().expect("field witness"); + let now = Instant::now(); + let proof = akita::prove::( + JoltBackend::optimized().with_witness(&witness), + &prover_preprocessing, + &config, + None, + &public_io, + ) + .expect("packed proof"); + info!(" Packed prove time: {:.3}s", now.elapsed().as_secs_f64()); + let preprocessing = prover_preprocessing.verifier; + records.push((proof, public_io)); + verifier_preprocessing = Some(preprocessing); + } + // The guest's setup is a trusted constant: carry the expanded backend key, + // a catalog view, and the terminal matrix NTT for the row the proofs + // selected instead of re-deriving them in the guest. + let mut verifier_preprocessing = verifier_preprocessing.unwrap(); + let row_digest = records[0].0.joint_opening_proof.schedule_row_digest(); + assert!( + records + .iter() + .all(|(proof, _)| proof.joint_opening_proof.schedule_row_digest() == row_digest), + "a prepared guest verifier serves one schedule row" + ); + verifier_preprocessing + .pcs_setup + .prepare_verifier(row_digest) + .expect("prepare the Akita guest verifier"); + // Verify every proof against exactly what the guest will hold: the + // transported record, with its multi-megabyte payloads detached out of + // line and attached back in place, as the guest reads them. + let (mut verifier_preprocessing, _): (GuestVerifierPreprocessing, _) = + bincode::serde::decode_from_slice( + &bincode::serde::encode_to_vec(&verifier_preprocessing, bincode::config::standard()) + .unwrap(), + bincode::config::standard(), + ) + .unwrap(); + let payloads = verifier_preprocessing + .pcs_setup + .detach_prepared_payloads() + .expect("detach prepared Akita payloads"); + let mut attached = verifier_preprocessing.clone(); + let bodies: Vec = payloads + .iter() + // SAFETY: the bodies were detached from this host's own prepared setup. + .map(|payload| unsafe { TrustedBytes::new(Box::leak(payload.clone().into_boxed_slice())) }) + .collect(); + attached + .pcs_setup + .attach_prepared_payloads(&bodies) + .expect("attach prepared Akita payloads"); + for (proof, public_io) in &records { + jolt_sdk::jolt_verifier::verify::< + AkitaField, + AkitaScheme, + AkitaVc, + VerifierTranscript<'_>, + >(&attached, public_io, proof, None) + .expect("verify proof against prepared guest setup"); + info!(" Verification result: true"); + } + push_record(&mut all_groups_data, &verifier_preprocessing); + push_record(&mut all_groups_data, &(payloads.len() as u32)); + for payload in &payloads { + push_raw(&mut all_groups_data, payload); + } + push_record(&mut all_groups_data, &n); + for (proof, public_io) in records { + push_record(&mut all_groups_data, &proof); + push_record(&mut all_groups_data, &public_io); + } + info!("Total data size: {} bytes", all_groups_data.len()); + all_groups_data +} + +#[cfg(not(feature = "akita"))] fn collect_guest_proofs( guest: GuestProgram, target_dir: &str, use_embed: bool, mode: ProgramPreprocessingMode, + proofs: usize, ) -> Vec { info!("Starting collect_guest_proofs for {}", guest.name()); let max_trace_length = guest.get_max_trace_length(use_embed); @@ -323,7 +643,9 @@ fn collect_guest_proofs( }; info!("Creating program..."); - let mut program = jolt_sdk::host::Program::new(guest.name()); + let mut program = Program::new(guest.name()); + #[cfg(feature = "field-inline")] + program.enable_field_inline(); program.set_func(guest.func()); program.set_std(false); program.set_memory_config(memory_config); @@ -337,13 +659,15 @@ fn collect_guest_proofs( let guest_verifier_preprocessing = jolt_sdk::verifier_preprocessing_from_prover(&guest_prover_preprocessing); - let inputs = guest.inputs(); + let inputs = guest.inputs(proofs); info!("Got inputs: {inputs:?}"); let mut all_groups_data = Vec::new(); let mut total_prove_time = 0.0; push_record(&mut all_groups_data, &guest_verifier_preprocessing); + // No out-of-line setup payloads: the Dory setup travels inside the record. + push_record(&mut all_groups_data, &0u32); let n = inputs.len() as u32; push_record(&mut all_groups_data, &n); @@ -397,45 +721,136 @@ fn collect_guest_proofs( all_groups_data } -fn generate_embedded_bytes(guest: GuestProgram, all_groups_data: &[u8], output_dir: &Path) { +/// Bake the setup section of the stream into the guest image: `embedded.bin` +/// next to the guest sources, included 8-byte aligned by the generated +/// `embedded_bytes.rs`. The guest then takes its verifier setup from its own +/// image and only the proofs from its input. +fn generate_embedded_bytes(guest: GuestProgram, setup_section: &[u8], output_dir: &Path) { + let mut offset = 0; + let mut preprocessing: GuestVerifierPreprocessing = + read_record(setup_section, &mut offset).unwrap(); + let bytecode = match &mut preprocessing.program { + VerifierProgramPreprocessing::Full(program) => { + std::mem::take(&mut Arc::make_mut(program).bytecode.bytecode) + } + VerifierProgramPreprocessing::Committed(_) => Vec::new(), + }; + // The image fixes the program, so it fixes the digest too: bake it in + // rather than have the guest re-encode and hash the program. + let digest = preprocessing.preprocessing_digest; + let mut compiled_setup = Vec::new(); + push_record(&mut compiled_setup, &preprocessing); + push_record(&mut compiled_setup, &digest); + compiled_setup.extend_from_slice(&setup_section[offset..]); + let setup_section = compiled_setup.as_slice(); + info!( - "Generating embedded bytes for {} guest program...", - guest.name() + "Generating embedded setup for {} guest program ({} bytes)...", + guest.name(), + setup_section.len() ); + let mut image = Vec::with_capacity(setup_section.len() + RECORD_ALIGN); + // The static is 8-byte aligned, so no leading pad is needed. + push_alignment_pad(&mut image, 0); + image.extend_from_slice(setup_section); - let (n, remaining_data_size) = check_data_integrity(all_groups_data); - - if remaining_data_size > 0 { - info!("Warning: Remaining data is not empty ({remaining_data_size} bytes). This might indicate proofs are included."); - info!("For embedded mode, only verifier preprocessing should be included."); - } + std::fs::create_dir_all(output_dir).unwrap(); + let bin_path = output_dir.join("embedded.bin"); + std::fs::write(&bin_path, &image).unwrap(); + let source = format!( + "// Generated by the recursion host: the verifier setup baked into this image.\n\ + #[repr(C, align(8))]\n\ + struct Aligned(T);\n\ + static ALIGNED: Aligned<[u8; {len}]> = Aligned(*include_bytes!(\"embedded.bin\"));\n\ + pub static EMBEDDED_BYTES: &[u8] = &ALIGNED.0;\n\ + pub const SETUP_DIGEST: Option<[u8; 64]> = None;\n", + len = image.len() + ); + std::fs::write( + output_dir.join("embedded_bytecode.rs"), + render_embedded_bytecode(&bytecode), + ) + .unwrap(); + let source_path = output_dir.join("embedded_bytes.rs"); + std::fs::write(&source_path, source).unwrap(); + info!("Embedded setup written to {}", bin_path.display()); +} - let mut output = String::new(); - output.push_str(&format!( - "// Generated embedded bytes for {} recursion guest\n", - guest.name() - )); - output.push_str("pub static EMBEDDED_BYTES: &[u8] = &[\n"); +/// Render owned program rows as typed constants for the already-embedded setup. +fn render_embedded_bytecode(rows: &[JoltInstructionRow]) -> String { + use std::fmt::Write; - for (i, byte) in all_groups_data.iter().enumerate() { - if i > 0 && i % 16 == 0 { - output.push('\n'); - } - output.push_str(&format!("0x{byte:02x}, ")); + if rows.is_empty() { + return "use jolt_riscv::JoltInstructionRow;\npub static EMBEDDED_BYTECODE: &[JoltInstructionRow] = &[];\n".to_owned(); } + let mut source = String::from("use jolt_riscv::{JoltInstructionKind as Kind, JoltInstructionRow, JoltInstructionTag, NormalizedOperands};\npub static EMBEDDED_BYTECODE: &[JoltInstructionRow] = &[\n"); + for row in rows { + writeln!(source, + "JoltInstructionRow {{ instruction_kind: Kind::from_tag(JoltInstructionTag({})).unwrap(), address: {}, operands: NormalizedOperands {{ rs1: {:?}, rs2: {:?}, rd: {:?}, imm: {} }}, virtual_sequence_remaining: {:?}, is_first_in_sequence: {}, is_compressed: {} }},", + row.instruction_kind.tag().0, row.address, row.operands.rs1, row.operands.rs2, + row.operands.rd, row.operands.imm, row.virtual_sequence_remaining, + row.is_first_in_sequence, row.is_compressed, + ).unwrap(); + } + source.push_str("];\n"); + source +} - output.push_str("\n];\n"); - output.push_str(&format!( - "// Total embedded bytes: {}\n", - all_groups_data.len() - )); - output.push_str(&format!("// Number of proofs: {n}\n")); - +/// Undo [`generate_embedded_bytes`]: an input-mode build must not carry a +/// stale baked setup. +fn clear_embedded_bytes(output_dir: &Path, setup_section: &[u8]) { std::fs::create_dir_all(output_dir).unwrap(); + std::fs::write( + output_dir.join("embedded_bytecode.rs"), + render_embedded_bytecode(&[]), + ) + .unwrap(); + std::fs::write( + output_dir.join("embedded_bytes.rs"), + format!( + "pub static EMBEDDED_BYTES: &[u8] = &[];\npub const SETUP_DIGEST: Option<[u8; 64]> = Some({:?});\n", + Blake2b::digest(setup_section), + ), + ) + .unwrap(); + let _ = std::fs::remove_file(output_dir.join("embedded.bin")); +} - let filename = output_dir.join("embedded_bytes.rs"); - std::fs::write(&filename, output).unwrap(); - info!("Embedded bytes written to {}", filename.display()); +/// Frame `section` as the guest's input: `postcard` prefixes the byte slice +/// with a varint length, so a leading pad record lands every body 8-byte +/// aligned at the address the guest reads it from. +fn frame_guest_input(section: &[u8], memory_config: &MemoryConfig) -> Vec { + fn varint_len(value: usize) -> usize { + postcard::to_stdvec(&value).unwrap().len() + } + // The I/O region does not depend on the program size, which the layout + // insists on knowing (as the SDK's own macro does, pass a placeholder). + let layout = MemoryLayout::new(&MemoryConfig { + program_size: Some(0), + ..*memory_config + }); + let input_start = usize::try_from(layout.input_start).unwrap(); + let mut pad = 0; + // The varint width depends on the total length, which depends on the pad; + // iterate to the fixpoint (the width changes only at 2^(7k) boundaries). + for _ in 0..4 { + let total = 8 + pad + section.len(); + let body_start = input_start + varint_len(total) + 8; + let next = body_start.next_multiple_of(RECORD_ALIGN) - body_start; + if next == pad { + break; + } + pad = next; + } + let mut stream = Vec::with_capacity(8 + pad + section.len()); + push_alignment_pad(&mut stream, pad); + stream.extend_from_slice(section); + assert_eq!( + (input_start + varint_len(stream.len()) + 8 + pad) % RECORD_ALIGN, + 0, + "guest input bodies must be 8-byte aligned" + ); + postcard::to_stdvec(&stream.as_slice()).unwrap() } fn save_proof_data(guest: GuestProgram, all_groups_data: &[u8], workdir: &Path) { @@ -477,86 +892,270 @@ fn load_proof_data(guest: GuestProgram, workdir: &Path) -> Vec { proof_data } -fn generate_proofs(guest: GuestProgram, workdir: &Path, mode: ProgramPreprocessingMode) { - info!("Generating proofs for {} guest program...", guest.name()); +fn generate_proofs( + guest: GuestProgram, + workdir: &Path, + mode: ProgramPreprocessingMode, + proofs: usize, +) { + info!( + "Generating {proofs} proof(s) for {} guest program...", + guest.name() + ); let target_dir = "/tmp/jolt-guest-targets"; - let all_groups_data = collect_guest_proofs(guest, target_dir, false, mode); + let all_groups_data = collect_guest_proofs(guest, target_dir, false, mode, proofs); save_proof_data(guest, &all_groups_data, workdir); info!("Proof generation completed for {}", guest.name()); } +fn decode_verifier_output(bytes: &[u8]) -> u32 { + let (output, remaining) = + postcard::take_from_bytes::(bytes).expect("decode verifier output"); + let canonical = postcard::to_stdvec(&output).expect("encode verifier output"); + assert!( + bytes.starts_with(&canonical) && bytes.len() - remaining.len() == canonical.len(), + "noncanonical verifier output" + ); + // The tracer lowers narrow stores to aligned 8-byte read-modify-writes. + let padded_len = canonical + .len() + .checked_next_multiple_of(8) + .expect("verifier output length overflow"); + assert!( + (bytes.len() == canonical.len() || bytes.len() == padded_len) + && remaining.iter().all(|byte| *byte == 0), + "invalid verifier output padding" + ); + output +} + +fn configured_recursion_program(memory_config: MemoryConfig) -> Program { + let mut program = Program::new("recursion-guest"); + program.set_func("verify"); + program.set_std(true); + // The verifier guest computes its field arithmetic through the + // field-inline instructions, so it decodes under the field-inline profile, and + // routes the one field the tracer's field-inline unit computes in. + #[cfg(feature = "field-inline")] + { + program.enable_field_inline(); + program.add_guest_feature(if cfg!(feature = "akita") { + "field-inline-fp128" + } else { + "field-inline-bn254" + }); + } + #[cfg(feature = "akita")] + program.add_guest_feature("akita"); + #[cfg(feature = "ntt-inline")] + program.add_guest_feature("ntt-inline"); + program.add_guest_feature("fast-alloc"); + program.add_guest_feature("hash-inlines"); + program.set_memory_config(memory_config); + program +} + +#[derive(Clone, Copy, PartialEq, Eq, ValueEnum)] +enum ExpectedVerification { + Accept, + Reject, +} + +#[derive(Clone, Copy, PartialEq, Eq, ValueEnum)] +enum TamperTarget { + Sumcheck, + Claim, + Output, + Panic, + Empty, + #[cfg(feature = "akita")] + Opening, +} + +fn tamper_proof( + guest: GuestProgram, + workdir: &Path, + output: &Path, + target: TamperTarget, + proof_index: u32, +) { + let bytes = load_proof_data(guest, workdir); + let mut offset = 0; + let _: GuestVerifierPreprocessing = read_record(&bytes, &mut offset).unwrap(); + let payloads: u32 = read_record(&bytes, &mut offset).unwrap(); + for _ in 0..payloads { + let _ = read_raw(&bytes, &mut offset).unwrap(); + } + let count_offset = offset; + let count: u32 = read_record(&bytes, &mut offset).unwrap(); + assert!(count > 0, "tamper fixture requires a proof"); + assert!(proof_index < count, "tamper proof index is out of range"); + let output_count = if target == TamperTarget::Empty { + 0 + } else { + count + }; + let mut tampered = bytes[..count_offset].to_vec(); + push_record(&mut tampered, &output_count); + for index in 0..count { + let mut proof: GuestProof = read_record(&bytes, &mut offset).unwrap(); + let mut device: JoltDevice = read_record(&bytes, &mut offset).unwrap(); + if target == TamperTarget::Empty { + continue; + } + if index == proof_index { + match target { + TamperTarget::Sumcheck => match &mut proof.stages.stage1_sumcheck_proof { + SumcheckProof::Clear(ClearProof::Full(sumcheck)) => { + let round = sumcheck.round_polynomials.first_mut().expect("first round"); + let mut coefficients = round.coefficients().to_vec(); + *coefficients.first_mut().expect("round coefficient") += + GuestField::from_u64(1); + *round = UnivariatePoly::new(coefficients); + } + SumcheckProof::Clear(ClearProof::Compressed(sumcheck)) => { + let round = sumcheck.round_polynomials.first_mut().expect("first round"); + let mut coefficients = round.coeffs_except_linear_term().to_vec(); + *coefficients.first_mut().expect("round coefficient") += + GuestField::from_u64(1); + *round = CompressedPoly::new(coefficients); + } + SumcheckProof::Committed(_) => panic!("tamper requires a clear proof"), + }, + TamperTarget::Claim => { + let JoltProofClaims::Clear(claims) = &mut proof.claims else { + panic!("tamper requires clear claims"); + }; + claims.stage1.outer.outer_remainder.left_instruction_input += + GuestField::from_u64(1); + } + TamperTarget::Output => { + *device.outputs.first_mut().expect("device output byte") ^= 1; + } + TamperTarget::Panic => device.panic = !device.panic, + TamperTarget::Empty => unreachable!(), + #[cfg(feature = "akita")] + TamperTarget::Opening => { + // AkitaBatchProof encodes a fixed selection followed by a byte body. + // Decode the envelope so the mutation cannot hit a length prefix. + let config = bincode::config::standard(); + let encoded = + bincode::serde::encode_to_vec(&proof.joint_opening_proof, config).unwrap(); + let ((selection, mut body), consumed): (([u8; 32], Vec), _) = + bincode::serde::decode_from_slice(&encoded, config).unwrap(); + assert_eq!(consumed, encoded.len()); + let middle = body.len() / 2; + *body.get_mut(middle).expect("opening proof body") ^= 1; + let encoded = bincode::serde::encode_to_vec((selection, body), config).unwrap(); + proof.joint_opening_proof = bincode::serde::decode_from_slice(&encoded, config) + .unwrap() + .0; + } + } + } + push_record(&mut tampered, &proof); + push_record(&mut tampered, &device); + } + assert_eq!(offset, bytes.len(), "trailing proof stream bytes"); + // A successful typed decode is distinct from the guest's verification result. + assert_eq!(check_data_integrity(&tampered).proof_count, output_count); + std::fs::create_dir(output).expect("fresh tampered proof directory"); + save_proof_data(guest, &tampered, output); +} + fn run_recursion_proof( guest: GuestProgram, run_config: RunConfig, input_bytes: Vec, memory_config: MemoryConfig, - mut max_trace_length: usize, + max_trace_length: usize, ) { let target_dir = "/tmp/jolt-guest-targets"; - let mut program = jolt_sdk::host::Program::new("recursion-guest"); - program.set_func("verify"); - program.set_std(true); - program.set_memory_config(memory_config); + let mut program = configured_recursion_program(memory_config); program.build(target_dir); - if run_config == RunConfig::Trace || run_config == RunConfig::TraceToFile { - // shorten the max_trace_length for tracing only. Speeds up setup time for tracing purposes. - max_trace_length = 0; - } - let recursion_prover_preprocessing = preprocess_guest_prover( - &mut program, - memory_config, - max_trace_length, - ProgramPreprocessingMode::Full, - ); - let recursion_verifier_preprocessing = - jolt_sdk::verifier_preprocessing_from_prover(&recursion_prover_preprocessing); - match run_config { + RunConfig::CheckInputFraming => { + // Build once: malformed inputs must not change the image or its capacity. + let oversized = postcard::to_stdvec(&memory_config.max_input_size).unwrap(); + let mut suffix = input_bytes.clone(); + suffix.push(1); + let mut zero_padding = input_bytes.clone(); + zero_padding.resize(memory_config.max_input_size as usize, 0); + let mut last_byte = zero_padding.clone(); + *last_byte.last_mut().unwrap() = 1; + for (name, input, expected) in [ + ("honest", input_bytes, 1), + ("overflowing length", vec![0xff; 10], 0), + ("oversize length", oversized, 0), + ("nonzero suffix", suffix, 0), + ("zero transport padding", zero_padding, 1), + ("nonzero final capacity byte", last_byte, 0), + ] { + let (rows, device) = program.execute_with_output(&input, &[], &[]); + assert!(!device.panic, "{name}: recursion verifier guest panicked"); + assert_eq!(decode_verifier_output(&device.outputs), expected, "{name}"); + info!(" {name}: verdict {expected}, trace length {rows}"); + } + } + RunConfig::Trace(expected) | RunConfig::TraceToFile(expected) => { + let io_device = if matches!(run_config, RunConfig::Trace(_)) { + let (rows, device) = program.execute_with_output(&input_bytes, &[], &[]); + info!(" trace length: {rows}"); + device + } else { + let trace_path = PathBuf::from(format!("/tmp/{}-recursion.trace", guest.name())); + program.trace_to_file(&input_bytes, &[], &[], &trace_path).1 + }; + assert!(!io_device.panic, "Recursion verifier guest panicked"); + let rv = decode_verifier_output(&io_device.outputs); + info!(" Recursion output (trace-only): {rv}"); + let expected = match expected { + ExpectedVerification::Accept => 1, + ExpectedVerification::Reject => 0, + }; + assert_eq!(rv, expected, "unexpected recursion verifier verdict"); + } RunConfig::Prove => { - let (proof, io_device): (RV64IMACProof, _) = jolt_sdk::prove_program( - &program, - &recursion_prover_preprocessing, - &input_bytes, - &[], - &[], - None, - None, - None, - ) - .expect("prover should produce verifier-native proof"); - let is_valid = + #[cfg(feature = "akita")] + { + let _ = max_trace_length; + panic!("packed recursion supports trace-only runs"); + } + #[cfg(not(feature = "akita"))] + { + let preprocessing = preprocess_guest_prover( + &mut program, + memory_config, + max_trace_length, + ProgramPreprocessingMode::Full, + ); + let verifier = jolt_sdk::verifier_preprocessing_from_prover(&preprocessing); + let (proof, io_device): (RV64IMACProof, _) = jolt_sdk::prove_program( + &program, + &preprocessing, + &input_bytes, + &[], + &[], + None, + None, + None, + ) + .expect("outer recursion proof"); jolt_sdk::jolt_verifier::verify::< jolt_sdk::VerifierField, jolt_sdk::VerifierPCS, jolt_sdk::VerifierVC, VerifierTranscript<'_>, - >(&recursion_verifier_preprocessing, &io_device, &proof, None) - .is_ok(); - let rv = postcard::from_bytes::(&io_device.outputs).unwrap(); - info!(" Recursion verification result: {rv}"); - info!(" Recursion verification result: {is_valid}"); - } - RunConfig::Trace => { - info!(" Trace-only mode: Skipping proof generation and verification."); - let (_, _, _, io_device) = program.trace(&input_bytes, &[], &[]); - let rv = postcard::from_bytes::(&io_device.outputs).unwrap_or(0); - info!(" Recursion output (trace-only): {rv}"); - } - RunConfig::TraceToFile => { - info!(" Trace-only mode: Skipping proof generation and verification. Tracing to file: /tmp/{}.trace", guest.name()); - let (_, io_device) = program.trace_to_file( - &input_bytes, - &[], - &[], - &format!("/tmp/{}.trace", guest.name()).into(), - ); - let rv = postcard::from_bytes::(&io_device.outputs).unwrap_or(0); - info!(" Recursion output (trace-only): {rv}"); + >(&verifier, &io_device, &proof, None) + .expect("verify outer recursion proof"); + let rv = decode_verifier_output(&io_device.outputs); + info!(" Recursion verification result: {rv}"); + } } } } @@ -571,59 +1170,50 @@ fn verify_proofs( info!("Verifying proofs for {} guest program...", guest.name()); info!("Using embed mode: {use_embed}"); - generate_provable_macro(guest, use_embed, output_dir); - let all_groups_data = load_proof_data(guest, workdir); + let layout = check_data_integrity(&all_groups_data); - check_data_integrity(&all_groups_data); - - if use_embed { - info!("Running {} recursion with embedded bytes...", guest.name()); - - generate_embedded_bytes(guest, &all_groups_data, output_dir); - - let memory_config = guest.get_memory_config(use_embed); - - let input_bytes = vec![]; - info!("Using empty input bytes (embedded mode)"); - - run_recursion_proof( - guest, - run_config, - input_bytes, - memory_config, - guest.get_max_trace_length(use_embed), + let input_section = if use_embed { + info!( + "Running {} recursion with the setup baked into the guest image...", + guest.name() ); + let (setup_section, proof_section) = all_groups_data.split_at(layout.setup_len); + generate_embedded_bytes(guest, setup_section, output_dir); + proof_section } else { info!("Running {} recursion with input data...", guest.name()); + clear_embedded_bytes(output_dir, &all_groups_data[..layout.setup_len]); + all_groups_data.as_slice() + }; + let mut memory_config = guest.get_memory_config(use_embed, input_section.len()); + // Setup, proof, and device coexist; retain space for geometric growth and verification. + let decode_heap = layout + .limits + .allocation + .checked_mul(8) + .and_then(|bytes| u64::try_from(bytes).ok()) + .expect("recursion decode heap size overflow"); + memory_config.heap_size = memory_config.heap_size.max(decode_heap); + generate_provable_macro(guest, use_embed, &memory_config, output_dir, layout.limits); + let input_bytes = frame_guest_input(input_section, &memory_config); + info!( + "Serialized input size: {} bytes ({} proofs)", + input_bytes.len(), + layout.proof_count + ); + assert!( + input_bytes.len() < memory_config.max_input_size as usize, + "Input size is too large" + ); - info!("Testing basic serialization/deserialization..."); - let test_input_bytes = postcard::to_stdvec(&all_groups_data).unwrap(); - let test_deserialized: Vec = postcard::from_bytes(&test_input_bytes).unwrap(); - assert_eq!(all_groups_data, test_deserialized); - info!("Basic serialization/deserialization test passed!"); - - check_data_integrity(&all_groups_data); - - let mut input_bytes = vec![]; - input_bytes.append(&mut postcard::to_stdvec(&all_groups_data.as_slice()).unwrap()); - - info!("Serialized input size: {} bytes", input_bytes.len()); - let memory_config = guest.get_memory_config(use_embed); - - assert!( - input_bytes.len() < memory_config.max_input_size as usize, - "Input size is too large" - ); - - run_recursion_proof( - guest, - run_config, - input_bytes, - memory_config, - guest.get_max_trace_length(use_embed), - ); - } + run_recursion_proof( + guest, + run_config, + input_bytes, + memory_config, + guest.get_max_trace_length(use_embed), + ); } fn main() { @@ -632,10 +1222,46 @@ fn main() { let cli = Cli::parse(); match &cli.command { + Some(Commands::CheckInputFraming { + example, + workdir, + embed, + }) => { + let guest = GuestProgram::from_str(example).expect("supported guest example"); + verify_proofs( + guest, + *embed, + workdir, + &get_guest_src_dir(), + RunConfig::CheckInputFraming, + ); + } + Some(Commands::Tamper { + example, + workdir, + output, + target, + proof_index, + }) => { + let guest = GuestProgram::from_str(example).expect("supported guest example"); + tamper_proof(guest, workdir, output, *target, *proof_index); + } + #[cfg(feature = "field-inline")] + Some(Commands::CheckFieldKernels) => kernel_tests::run(), + #[cfg(feature = "akita")] + Some(Commands::TamperOpening { + example, + workdir, + output, + }) => { + let guest = GuestProgram::from_str(example).expect("supported guest example"); + tamper_proof(guest, workdir, output, TamperTarget::Opening, 0); + } Some(Commands::Generate { example, workdir, committed_bytecode, + proofs, }) => { let guest = match GuestProgram::from_str(example) { Some(guest) => guest, @@ -652,6 +1278,7 @@ fn main() { } else { ProgramPreprocessingMode::Full }, + *proofs, ); } Some(Commands::Verify { @@ -684,6 +1311,7 @@ fn main() { workdir, embed, trace_to_file, + expect, }) => { let guest = match GuestProgram::from_str(example) { Some(guest) => guest, @@ -698,9 +1326,9 @@ fn main() { .cloned() .unwrap_or_else(get_guest_src_dir); let run_config = if *trace_to_file { - RunConfig::TraceToFile + RunConfig::TraceToFile(*expect) } else { - RunConfig::Trace + RunConfig::Trace(*expect) }; verify_proofs(guest, embed.is_some(), workdir, &output_dir, run_config); } @@ -720,3 +1348,103 @@ fn main() { } } } + +#[cfg(test)] +mod tests { + use super::decode_verifier_output; + + #[test] + fn verifier_output_accepts_canonical_compact_and_word_padded_values() { + for (value, encoded) in [ + (0, vec![0]), + (1, vec![1]), + (128, vec![0x80, 1]), + (u32::MAX, vec![0xff, 0xff, 0xff, 0xff, 0x0f]), + ] { + assert_eq!(decode_verifier_output(&encoded), value); + let mut padded = encoded; + padded.resize(8, 0); + assert_eq!(decode_verifier_output(&padded), value); + } + } + + #[test] + fn verifier_output_rejects_malformed_encoding_and_padding() { + for bytes in [ + vec![], + vec![0x80], + vec![0x81, 0], + vec![1, 0], + vec![1, 1, 0, 0, 0, 0, 0, 0], + vec![0; 16], + ] { + assert!(std::panic::catch_unwind(|| decode_verifier_output(&bytes)).is_err()); + } + } +} + +#[cfg(test)] +#[path = "../guest/src/records.rs"] +mod guest_records; + +#[cfg(test)] +mod input_size_tests { + use super::*; + + #[test] + fn framed_proof_sections_fit_every_example() { + for guest in [GuestProgram::Fibonacci, GuestProgram::Muldiv] { + for embed in [false, true] { + for len in [0, 1, 127, 128, 1120, 16383, 16384, 32768] { + let config = guest.get_memory_config(embed, len); + let input = frame_guest_input(&vec![0; len], &config); + assert!(input.len() < config.max_input_size as usize); + } + } + } + } +} + +#[cfg(feature = "field-inline")] +mod kernel_cases; +#[cfg(feature = "field-inline")] +mod kernel_tests; + +#[cfg(test)] +mod record_limit_tests { + use super::guest_records::Records; + use super::*; + + #[test] + fn honest_field_record_exceeding_default_budget_uses_image_limits() { + let fields = vec![GuestField::from_u64(7); (1 << 18) + 1]; + let mut record = Vec::new(); + push_record(&mut record, &fields); + let mut limits = RecordLimits::default(); + let mut offset = 0; + let decoded: Vec = limits.read_record(&record, &mut offset).unwrap(); + assert_eq!(decoded, fields); + assert_eq!(offset, record.len()); + assert!(limits.allocation > RecordLimits::default().allocation); + + let mut framed = vec![0; record.len() + 15]; + let pad = (8 - (framed.as_ptr() as usize + 8) % 8) % 8; + let base = 8 + pad; + framed[..8].copy_from_slice(&(pad as u64).to_le_bytes()); + framed[base..base + record.len()].copy_from_slice(&record); + framed.truncate(base + record.len()); + assert!(Records::new(&framed, RecordLimits::default()) + .unwrap() + .record::>() + .is_err()); + let mut records = Records::new(&framed, limits).unwrap(); + assert_eq!(records.record::>().unwrap(), fields); + records.finish().unwrap(); + + // Runtime lengths cannot increase the limits baked into the image. + let mut huge_length = vec![253]; + huge_length.extend_from_slice(&u64::MAX.to_le_bytes()); + let mut budget = limits.allocation; + assert!(bounded::decode::>(&huge_length, &mut budget).is_err()); + } +} diff --git a/jolt-eval/fuzz/Cargo.lock b/jolt-eval/fuzz/Cargo.lock index 97f1049799..b2265d4b75 100644 --- a/jolt-eval/fuzz/Cargo.lock +++ b/jolt-eval/fuzz/Cargo.lock @@ -1154,7 +1154,6 @@ dependencies = [ "jolt-riscv", "jolt-transcript", "jolt-utils", - "rayon", "serde", "sha3", "thiserror 2.0.18", diff --git a/jolt-inlines/blake2/src/sdk.rs b/jolt-inlines/blake2/src/sdk.rs index 14f5e87521..e3fde718aa 100644 --- a/jolt-inlines/blake2/src/sdk.rs +++ b/jolt-inlines/blake2/src/sdk.rs @@ -1,33 +1,158 @@ //! High-level Blake2b hashing API for host and guest modes. +//! +//! Message bytes are packed into little-endian words as they arrive instead +//! of being staged through byte buffers. On a guest, variable-length byte +//! copies and fills lower to libc `memcpy`/`memset` calls that move data in +//! sub-word accesses, each a multi-row sequence; the word paths below load +//! and store whole aligned words. use crate::{ BLOCK_INPUT_SIZE_IN_BYTES, IV, MSG_BLOCK_LEN, PERSONA_SIZE_IN_BYTES, SALT_SIZE_IN_BYTES, STATE_VECTOR_LEN, }; const OUTPUT_SIZE: usize = 64; +const WORD_BYTES: usize = 8; const INITIAL_STATE: [u64; STATE_VECTOR_LEN] = { let mut h = IV; h[0] ^= 0x01010000 ^ (OUTPUT_SIZE as u64); h }; -#[derive(Clone)] +/// One compression input: 16 message words, the byte counter, and the final +/// flag, laid out as the 18 consecutive words the inline reads. +#[repr(C)] +struct CompressionBlock { + /// Little-endian message words. Every byte at or past the buffered + /// length is zero, so absorbing ORs bytes into place and finalizing + /// needs no padding pass. + words: [u64; MSG_BLOCK_LEN], + counter: u64, + final_flag: u64, +} + +impl CompressionBlock { + #[inline(always)] + fn new() -> Self { + Self { + words: [0; MSG_BLOCK_LEN], + counter: 0, + final_flag: 0, + } + } + + #[inline(always)] + fn compress(&mut self, state: &mut [u64; STATE_VECTOR_LEN], is_final: bool) { + self.final_flag = u64::from(is_final); + // SAFETY: repr(C) lays out the 16 message words, the counter, and the + // flag as exactly the 18 aligned words the inline reads. + unsafe { + blake2b_compress(state.as_mut_ptr(), core::ptr::from_ref(self).cast::()); + } + } +} + +const _: () = assert!(core::mem::size_of::() == (MSG_BLOCK_LEN + 2) * 8); + +/// Reads one little-endian message word from an 8-byte chunk. +/// +/// The volatile reads keep LLVM from recognizing the callers' word loops as +/// copies and lowering them back into `memcpy` calls. +#[inline(always)] +fn load_word(chunk: &[u8], aligned: bool) -> u64 { + debug_assert_eq!(chunk.len(), WORD_BYTES); + let p = chunk.as_ptr(); + if aligned { + // SAFETY: the caller checked that `chunk` starts on an 8-byte + // boundary, and it holds 8 readable bytes. + u64::from_le(unsafe { p.cast::().read_volatile() }) + } else { + let mut word = 0; + for i in 0..WORD_BYTES { + // SAFETY: `i < 8 == chunk.len()`. + word |= u64::from(unsafe { p.add(i).read_volatile() }) << (8 * i); + } + word + } +} + +/// ORs `src` into `words` starting at byte `pos`. Bytes `pos..pos + src.len()` +/// must be zero and lie within the block. +#[inline(always)] +fn or_into_words(words: &mut [u64; MSG_BLOCK_LEN], mut pos: usize, mut src: &[u8]) { + while !pos.is_multiple_of(WORD_BYTES) { + let Some((&byte, rest)) = src.split_first() else { + return; + }; + words[pos / WORD_BYTES] |= u64::from(byte) << (8 * (pos % WORD_BYTES)); + pos += 1; + src = rest; + } + let aligned = (src.as_ptr() as usize).is_multiple_of(WORD_BYTES); + let mut chunks = src.chunks_exact(WORD_BYTES); + for chunk in &mut chunks { + words[pos / WORD_BYTES] = load_word(chunk, aligned); + pos += WORD_BYTES; + } + for (i, &byte) in chunks.remainder().iter().enumerate() { + words[pos / WORD_BYTES] |= u64::from(byte) << (8 * i); + } +} + +/// Fills all 16 words from a full 128-byte block. +#[inline(always)] +fn load_block(words: &mut [u64; MSG_BLOCK_LEN], block: &[u8]) { + debug_assert_eq!(block.len(), BLOCK_INPUT_SIZE_IN_BYTES); + let aligned = (block.as_ptr() as usize).is_multiple_of(WORD_BYTES); + for (word, chunk) in words.iter_mut().zip(block.chunks_exact(WORD_BYTES)) { + *word = load_word(chunk, aligned); + } +} + +/// Zeroes `words`. Volatile stores keep LLVM from emitting a `memset` call. +#[inline(always)] +fn clear_words(words: &mut [u64]) { + for word in words { + // SAFETY: `word` is a valid, aligned `&mut u64`. + unsafe { core::ptr::from_mut(word).write_volatile(0) }; + } +} + pub struct Blake2b { h: [u64; STATE_VECTOR_LEN], - buffer: [u8; BLOCK_INPUT_SIZE_IN_BYTES], + buffer: CompressionBlock, buffer_len: usize, - counter: u64, - /// Digest length folded into the IV; the finalize paths must emit exactly this many bytes. output_len: usize, } +/// Copies only the buffered words; the rest of a block is zero by invariant. +/// A derived clone copies the whole 216-byte hasher, which a guest lowers to a +/// sub-word `memcpy` call, and sponges clone prepared hashers per phase. +impl Clone for Blake2b { + #[inline(always)] + fn clone(&self) -> Self { + let mut buffer = CompressionBlock::new(); + buffer.counter = self.buffer.counter; + let live = self.buffer_len.div_ceil(WORD_BYTES); + for (word, source) in buffer.words.iter_mut().zip(&self.buffer.words[..live]) { + // SAFETY: `source` is a valid, aligned `&u64`; the volatile read + // keeps this loop from lowering to a `memcpy` call. + *word = unsafe { core::ptr::from_ref(source).read_volatile() }; + } + Self { + h: self.h, + buffer, + buffer_len: self.buffer_len, + output_len: self.output_len, + } + } +} + impl Blake2b { #[inline(always)] pub fn new() -> Self { Self { h: INITIAL_STATE, - buffer: [0; BLOCK_INPUT_SIZE_IN_BYTES], + buffer: CompressionBlock::new(), buffer_len: 0, - counter: 0, output_len: OUTPUT_SIZE, } } @@ -48,13 +173,35 @@ impl Blake2b { h[0] ^= 0x01010000 ^ (output_len as u64); Self { h, - buffer: [0; BLOCK_INPUT_SIZE_IN_BYTES], + buffer: CompressionBlock::new(), buffer_len: 0, - counter: 0, output_len, } } + /// Finalize into `out`, which holds the digest length this hasher was + /// created with (the leading bytes of the state). + #[inline(always)] + pub fn finalize_into(mut self, out: &mut [u8]) { + assert_eq!( + out.len(), + self.output_len, + "Blake2b::finalize_into buffer must match the digest length" + ); + self.compress_final(); + let len = out.len(); + if len.is_multiple_of(WORD_BYTES) && (out.as_mut_ptr() as usize).is_multiple_of(WORD_BYTES) + { + for (chunk, word) in out.chunks_exact_mut(WORD_BYTES).zip(&self.h) { + // SAFETY: `out` starts on an 8-byte boundary and its length is + // a multiple of 8, so every chunk is an aligned 8-byte word. + unsafe { chunk.as_mut_ptr().cast::().write(word.to_le()) }; + } + } else { + out.copy_from_slice(&to_bytes(self.h)[..len]); + } + } + /// Creates a new hasher with the given salt and personalization, /// matching the `blake2` crate's `new_with_params` semantics. /// @@ -66,82 +213,56 @@ impl Blake2b { pub fn new_with_params(salt: &[u8], persona: &[u8]) -> Self { Self { h: initial_state_with_params(salt, persona), - buffer: [0; BLOCK_INPUT_SIZE_IN_BYTES], + buffer: CompressionBlock::new(), buffer_len: 0, - counter: 0, output_len: OUTPUT_SIZE, } } #[inline(always)] - pub fn update(&mut self, input: &[u8]) { - let input_len = input.len(); - if input_len == 0 { + pub fn update(&mut self, mut input: &[u8]) { + if input.is_empty() { return; } - let mut offset = 0; - + // Fill a partial buffer first. The block is compressed only once more + // input follows, so the final block always reaches `finalize`. if self.buffer_len != 0 { - let needed = BLOCK_INPUT_SIZE_IN_BYTES - self.buffer_len; - let to_copy = needed.min(input_len); - - unsafe { - core::ptr::copy_nonoverlapping( - input.as_ptr(), - self.buffer.as_mut_ptr().add(self.buffer_len), - to_copy, - ); - } - - self.buffer_len += to_copy; - offset = to_copy; - - // Only process if we have a complete block AND there's more data - // (to ensure we don't process what might be the final block) - if self.buffer_len == BLOCK_INPUT_SIZE_IN_BYTES && offset < input_len { - self.counter += BLOCK_INPUT_SIZE_IN_BYTES as u64; - compression_caller(&mut self.h, &self.buffer, self.counter, false); - self.buffer_len = 0; + let take = (BLOCK_INPUT_SIZE_IN_BYTES - self.buffer_len).min(input.len()); + let (head, rest) = input.split_at(take); + or_into_words(&mut self.buffer.words, self.buffer_len, head); + self.buffer_len += take; + input = rest; + if input.is_empty() { + return; } + self.buffer.counter += BLOCK_INPUT_SIZE_IN_BYTES as u64; + self.buffer.compress(&mut self.h, false); + clear_words(&mut self.buffer.words); + self.buffer_len = 0; } - // Process complete blocks directly from input - // We need to keep at least one byte to ensure we don't process what might be the final block - // This guarantees the final block is always processed in finalize() with is_final=true - while offset + BLOCK_INPUT_SIZE_IN_BYTES < input_len { - unsafe { - core::ptr::copy_nonoverlapping( - input.as_ptr().add(offset), - self.buffer.as_mut_ptr(), - BLOCK_INPUT_SIZE_IN_BYTES, - ); - } - - self.counter += BLOCK_INPUT_SIZE_IN_BYTES as u64; - compression_caller(&mut self.h, &self.buffer, self.counter, false); - offset += BLOCK_INPUT_SIZE_IN_BYTES; + // Compress complete blocks, keeping at least one byte for the final + // block. + while input.len() > BLOCK_INPUT_SIZE_IN_BYTES { + let (block, rest) = input.split_at(BLOCK_INPUT_SIZE_IN_BYTES); + self.buffer.counter += BLOCK_INPUT_SIZE_IN_BYTES as u64; + load_block(&mut self.buffer.words, block); + self.buffer.compress(&mut self.h, false); + clear_words(&mut self.buffer.words); + input = rest; } - let final_bytes = input_len - offset; - if final_bytes > 0 { - unsafe { - core::ptr::copy_nonoverlapping( - input.as_ptr().add(offset), - self.buffer.as_mut_ptr().add(self.buffer_len), - final_bytes, - ); - } - self.buffer_len += final_bytes; - } + or_into_words(&mut self.buffer.words, 0, input); + self.buffer_len = input.len(); } - /// Compresses the buffered bytes, zero-padded, as the final block. + /// Compresses the buffered bytes as the final block. Bytes past the + /// buffered length are already zero. #[inline(always)] fn compress_final(&mut self) { - self.counter += self.buffer_len as u64; - self.buffer[self.buffer_len..].fill(0); - compression_caller(&mut self.h, &self.buffer, self.counter, true); + self.buffer.counter += self.buffer_len as u64; + self.buffer.compress(&mut self.h, true); } /// Finalize a 64-byte-digest hasher. @@ -159,25 +280,7 @@ impl Blake2b { to_bytes(self.h) } - /// Finalize into `out`, which must be exactly the digest length this - /// hasher was created with (the leading bytes of the state). - /// - /// # Panics - /// Panics if `out.len()` differs from that digest length. A shorter - /// digest is its own hash function, so truncating is never correct. - #[inline(always)] - pub fn finalize_into(mut self, out: &mut [u8]) { - assert_eq!( - out.len(), - self.output_len, - "Blake2b::finalize_into buffer must match the digest length" - ); - self.compress_final(); - out.copy_from_slice(&to_bytes(self.h)[..out.len()]); - } - /// Computes BLAKE2b hash in one call. - /// Optimized for virtual cycles by avoiding intermediate buffers for small inputs. #[inline(always)] pub fn digest(input: &[u8]) -> [u8; OUTPUT_SIZE] { Self::digest_from_state(INITIAL_STATE, input) @@ -210,48 +313,15 @@ impl Blake2b { } #[inline(always)] - fn digest_from_state(mut h: [u64; STATE_VECTOR_LEN], input: &[u8]) -> [u8; OUTPUT_SIZE] { - let len = input.len(); - - if len == 0 { - compress_direct(&mut h, &[], 0, true); - return to_bytes(h); - } - - if len <= BLOCK_INPUT_SIZE_IN_BYTES { - compress_direct(&mut h, input, len as u64, true); - return to_bytes(h); - } - - let full_blocks = len / BLOCK_INPUT_SIZE_IN_BYTES; - let tail_len = len % BLOCK_INPUT_SIZE_IN_BYTES; - let non_final_blocks = if tail_len == 0 { - full_blocks - 1 - } else { - full_blocks + fn digest_from_state(h: [u64; STATE_VECTOR_LEN], input: &[u8]) -> [u8; OUTPUT_SIZE] { + let mut hasher = Self { + h, + buffer: CompressionBlock::new(), + buffer_len: 0, + output_len: OUTPUT_SIZE, }; - - for i in 0..non_final_blocks { - let offset = i * BLOCK_INPUT_SIZE_IN_BYTES; - let block = &input[offset..offset + BLOCK_INPUT_SIZE_IN_BYTES]; - compress( - &mut h, - block, - ((i + 1) * BLOCK_INPUT_SIZE_IN_BYTES) as u64, - false, - ); - } - - if tail_len == 0 { - let offset = (full_blocks - 1) * BLOCK_INPUT_SIZE_IN_BYTES; - let block = &input[offset..offset + BLOCK_INPUT_SIZE_IN_BYTES]; - compress(&mut h, block, len as u64, true); - } else { - let tail_offset = full_blocks * BLOCK_INPUT_SIZE_IN_BYTES; - compress_direct(&mut h, &input[tail_offset..], len as u64, true); - } - - to_bytes(h) + hasher.update(input); + hasher.finalize() } } @@ -299,155 +369,6 @@ fn to_bytes(h: [u64; STATE_VECTOR_LEN]) -> [u8; OUTPUT_SIZE] { } } -#[inline(always)] -fn compression_caller( - hash_state: &mut [u64; STATE_VECTOR_LEN], - message_block: &[u8], - counter: u64, - is_final: bool, -) { - let mut message = [0u64; MSG_BLOCK_LEN + 2]; - debug_assert_eq!(message_block.len(), BLOCK_INPUT_SIZE_IN_BYTES); - - #[cfg(target_endian = "little")] - unsafe { - core::ptr::copy_nonoverlapping( - message_block.as_ptr() as *const u64, - message.as_mut_ptr(), - MSG_BLOCK_LEN, - ); - } - - #[cfg(target_endian = "big")] - { - for i in 0..MSG_BLOCK_LEN { - let offset = i * 8; - message[i] = u64::from_le_bytes([ - message_block[offset], - message_block[offset + 1], - message_block[offset + 2], - message_block[offset + 3], - message_block[offset + 4], - message_block[offset + 5], - message_block[offset + 6], - message_block[offset + 7], - ]); - } - } - - message[MSG_BLOCK_LEN] = counter; - message[MSG_BLOCK_LEN + 1] = is_final as u64; - - unsafe { - blake2b_compress(hash_state.as_mut_ptr(), message.as_ptr()); - } -} - -#[inline(always)] -fn compress(hash_state: &mut [u64; STATE_VECTOR_LEN], block: &[u8], counter: u64, is_final: bool) { - let mut message = [0u64; MSG_BLOCK_LEN + 2]; - - #[cfg(target_endian = "little")] - unsafe { - core::ptr::copy_nonoverlapping( - block.as_ptr(), - message.as_mut_ptr() as *mut u8, - BLOCK_INPUT_SIZE_IN_BYTES, - ); - } - - #[cfg(target_endian = "big")] - { - for i in 0..MSG_BLOCK_LEN { - let offset = i * 8; - message[i] = u64::from_le_bytes([ - block[offset], - block[offset + 1], - block[offset + 2], - block[offset + 3], - block[offset + 4], - block[offset + 5], - block[offset + 6], - block[offset + 7], - ]); - } - } - - message[MSG_BLOCK_LEN] = counter; - message[MSG_BLOCK_LEN + 1] = is_final as u64; - - unsafe { - blake2b_compress(hash_state.as_mut_ptr(), message.as_ptr()); - } -} - -/// Compress with direct copy to message array (no intermediate buffer). -/// Optimized for virtual cycles by avoiding double-copy for small inputs. -#[inline(always)] -fn compress_direct( - hash_state: &mut [u64; STATE_VECTOR_LEN], - input: &[u8], - counter: u64, - is_final: bool, -) { - // Use MaybeUninit to avoid zeroing the full array - let mut message: core::mem::MaybeUninit<[u64; MSG_BLOCK_LEN + 2]> = - core::mem::MaybeUninit::uninit(); - let len = input.len(); - let message_ptr = message.as_mut_ptr() as *mut u8; - - #[cfg(target_endian = "little")] - unsafe { - if len > 0 { - core::ptr::copy_nonoverlapping(input.as_ptr(), message_ptr, len); - } - if len < BLOCK_INPUT_SIZE_IN_BYTES { - core::ptr::write_bytes(message_ptr.add(len), 0, BLOCK_INPUT_SIZE_IN_BYTES - len); - } - } - - #[cfg(target_endian = "big")] - { - let message_ref = unsafe { &mut *message.as_mut_ptr() }; - for i in 0..MSG_BLOCK_LEN { - message_ref[i] = 0; - } - - let full_words = len / 8; - let remaining = len % 8; - - for i in 0..full_words { - let offset = i * 8; - message_ref[i] = u64::from_le_bytes([ - input[offset], - input[offset + 1], - input[offset + 2], - input[offset + 3], - input[offset + 4], - input[offset + 5], - input[offset + 6], - input[offset + 7], - ]); - } - - if remaining > 0 { - let mut bytes = [0u8; 8]; - let offset = full_words * 8; - for j in 0..remaining { - bytes[j] = input[offset + j]; - } - message_ref[full_words] = u64::from_le_bytes(bytes); - } - } - - unsafe { - let message_ref = &mut *message.as_mut_ptr(); - message_ref[MSG_BLOCK_LEN] = counter; - message_ref[MSG_BLOCK_LEN + 1] = is_final as u64; - blake2b_compress(hash_state.as_mut_ptr(), message_ref.as_ptr()); - } -} - impl Default for Blake2b { fn default() -> Self { Self::new() @@ -556,6 +477,37 @@ mod digest_tests { } } + /// Streaming updates match the `blake2` crate for every source alignment + /// and split point, covering the aligned-word, unaligned-word, and + /// partial-word absorb paths and the block-boundary compressions. + #[test] + fn streaming_matches_reference_at_every_alignment() { + use blake2::{Blake2b512, Digest as RefDigest}; + let backing: Vec = (0..64u64) + .map(|i| i.wrapping_mul(0x9e37_79b9_7f4a_7c15)) + .collect(); + // SAFETY: a u64 buffer viewed as its bytes; the base is 8-aligned. + let bytes = unsafe { core::slice::from_raw_parts(backing.as_ptr().cast::(), 512) }; + for offset in 0..8 { + for len in [0, 1, 7, 8, 9, 64, 127, 128, 129, 255, 256, 300] { + let input = &bytes[offset..offset + len]; + let expected: [u8; 64] = Blake2b512::digest(input).into(); + for split in [0, 1, 3, 8, 13, len / 2, len.saturating_sub(1), len] { + let split = split.min(len); + let mut hasher = Blake2b::new(); + hasher.update(&input[..split]); + hasher.clone().update(&[0xff]); + hasher.update(&input[split..]); + assert_eq!( + hasher.finalize(), + expected, + "offset {offset} len {len} split {split}" + ); + } + } + } + } + #[test] fn test_blake2b_variable_input_lengths() { const MAX_LENGTH: usize = 1200; diff --git a/jolt-platform/src/size_class_alloc.rs b/jolt-platform/src/size_class_alloc.rs index e11b045bb5..ea455c1947 100644 --- a/jolt-platform/src/size_class_alloc.rs +++ b/jolt-platform/src/size_class_alloc.rs @@ -26,6 +26,7 @@ //! Single-hart guests only: state is plain statics, no locking. use core::alloc::Layout; +use core::mem::MaybeUninit; use core::ptr; const MIN_SHIFT: u32 = 3; @@ -180,15 +181,35 @@ pub fn realloc(ptr_in: *mut u8, old_layout: Layout, new_size: usize) -> *mut u8 let new_ptr = alloc(new_layout); if !new_ptr.is_null() { - let copy = old_layout.size().min(new_size); - unsafe { - ptr::copy_nonoverlapping(ptr_in, new_ptr, copy); - } + let words = old_layout.size().min(new_size).div_ceil(WORD_BYTES); + // SAFETY: the blocks are distinct live blocks of this arena, each + // aligned to its class size and spanning at least `words` words (a + // class size is a power of two of at least 8 covering its layout). + unsafe { copy_words(ptr_in, new_ptr, words) }; dealloc(ptr_in, old_layout); } new_ptr } +const WORD_BYTES: usize = 8; + +/// Copies `words` 8-byte words between word-aligned blocks. +/// +/// A guest lowers a variable-length `copy_nonoverlapping` to a libc `memcpy` +/// call that moves 4-byte words with multi-row `lw`/`sw` sequences. Copying +/// `MaybeUninit` words keeps the rounded-up tail well defined, and the +/// volatile reads keep LLVM from turning the loop back into that call. +/// +/// # Safety +/// `src` and `dst` are 8-byte aligned, valid for `words` words, and disjoint. +unsafe fn copy_words(src: *const u8, dst: *mut u8, words: usize) { + let src = src.cast::>(); + let dst = dst.cast::>(); + for i in 0..words { + dst.add(i).write(src.add(i).read_volatile()); + } +} + #[cfg(test)] mod tests { use super::*; diff --git a/jolt-sdk/Cargo.toml b/jolt-sdk/Cargo.toml index 1e1c3414f8..2da41b1eaa 100644 --- a/jolt-sdk/Cargo.toml +++ b/jolt-sdk/Cargo.toml @@ -16,8 +16,24 @@ edition = "2021" [features] default = ["jolt-platform/random"] +# std guests: route Rust allocations to jolt-platform's O(1) size-class +# arena instead of musl's malloc over ZeroOS's first-fit heap. +guest-size-class-alloc = [] +blake2-inline = [ + "jolt-transcript?/blake2-inline", + "jolt-verifier?/blake2-inline", +] debug = ["zeroos?/debug"] zk = ["jolt-prover?/zk", "jolt-verifier?/zk"] +# Akita-backed proving for the recursion flow. Not additive: it compiles out +# the Dory host helpers `#[jolt::provable]` expands to, so a host build that +# unifies it with a provable crate fails with a compile error naming this +# feature (`__dory_host_items!`). +akita = [ + "jolt-prover?/akita", + "jolt-verifier?/akita", + "tracer?/fp128-field-inline", +] field-inline = [ "jolt-prover?/field-inline", "jolt-verifier?/field-inline", @@ -33,7 +49,7 @@ host = [ "dep:common", "dep:jolt-crypto", "dep:jolt-dory", - "dep:jolt-field", + "jolt-field/bn254", "dep:jolt-host", "dep:jolt-openings", "dep:jolt-program", @@ -50,6 +66,8 @@ guest-nostd = ["zeroos-nostd"] # ZeroOS features guest-std = [ + # Boot binds the field-inline unit's modulus (`bind_field_inline_modulus`). + "dep:jolt-field", "postcard/use-std", "jolt-platform/std", "jolt-sdk-macros/guest-std", @@ -63,7 +81,7 @@ guest-verifier = [ "dep:common", "dep:jolt-crypto", "dep:jolt-dory", - "dep:jolt-field", + "jolt-field/bn254", "dep:jolt-transcript", "dep:jolt-verifier", ] @@ -108,7 +126,9 @@ bincode = { workspace = true, optional = true } common = { workspace = true, optional = true } jolt-crypto = { workspace = true, optional = true } jolt-dory = { workspace = true, optional = true } -jolt-field = { workspace = true, optional = true } +# Not inherited: the workspace entry keeps jolt-field's default BN254 field, +# which std guests booting through `guest-std` do not need. +jolt-field = { path = "../crates/jolt-field", default-features = false, optional = true } jolt-host = { workspace = true, optional = true } jolt-openings = { workspace = true, optional = true } jolt-program = { workspace = true, optional = true } diff --git a/jolt-sdk/macros/src/lib.rs b/jolt-sdk/macros/src/lib.rs index a54e672888..e02fde45c3 100644 --- a/jolt-sdk/macros/src/lib.rs +++ b/jolt-sdk/macros/src/lib.rs @@ -103,20 +103,22 @@ impl MacroBuilder { #require_zk #memory_config_fn - #build_prover_fn - #build_verifier_fn #execute_fn #analyze_fn #trace_fn #trace_to_file_fn #compile_fn #preprocess_shared_fn - #preprocess_prover_fn - #preprocess_committed_prover_fn - #preprocess_verifier_fn - #verifier_preprocess_from_prover_fn - #commit_trusted_advice_fn - #prove_fn + jolt::__dory_host_items! { + #build_prover_fn + #build_verifier_fn + #preprocess_prover_fn + #preprocess_committed_prover_fn + #preprocess_verifier_fn + #verifier_preprocess_from_prover_fn + #commit_trusted_advice_fn + #prove_fn + } #main_fn } .into() @@ -803,27 +805,66 @@ impl MacroBuilder { }; let pub_args_fetch = self.pub_func_args.iter().map(|(name, ty)| { - quote! { - let (#name, __jolt_input_slice) = - jolt::postcard::take_from_bytes::<#ty>(__jolt_input_slice).unwrap(); + if let Some(input_error) = &attributes.input_error { + quote! { + let (#name, __jolt_input_slice) = + match jolt::postcard::take_from_bytes::<#ty>(__jolt_input_slice) { + Ok(value) => value, + Err(_) => break '__jolt_decode { #input_error }, + }; + } + } else { + quote! { + let (#name, __jolt_input_slice) = + jolt::postcard::take_from_bytes::<#ty>(__jolt_input_slice).unwrap(); + } } }); let untrusted_advice_args_fetch = self.untrusted_func_args.iter().map(|(name, ty)| { - quote! { - let (#name, __jolt_untrusted_advice_slice) = - jolt::postcard::take_from_bytes::<#ty>(__jolt_untrusted_advice_slice).unwrap(); + if let Some(input_error) = &attributes.input_error { + quote! { + let (#name, __jolt_untrusted_advice_slice) = + match jolt::postcard::take_from_bytes::<#ty>(__jolt_untrusted_advice_slice) { + Ok(value) => value, + Err(_) => break '__jolt_decode { #input_error }, + }; + } + } else { + quote! { + let (#name, __jolt_untrusted_advice_slice) = + jolt::postcard::take_from_bytes::<#ty>(__jolt_untrusted_advice_slice).unwrap(); + } } }); let trusted_advice_args_fetch = self.trusted_func_args.iter().map(|(name, ty)| { - quote! { - let (#name, __jolt_trusted_advice_slice) = - jolt::postcard::take_from_bytes::<#ty>(__jolt_trusted_advice_slice).unwrap(); + if let Some(input_error) = &attributes.input_error { + quote! { + let (#name, __jolt_trusted_advice_slice) = + match jolt::postcard::take_from_bytes::<#ty>(__jolt_trusted_advice_slice) { + Ok(value) => value, + Err(_) => break '__jolt_decode { #input_error }, + }; + } + } else { + quote! { + let (#name, __jolt_trusted_advice_slice) = + jolt::postcard::take_from_bytes::<#ty>(__jolt_trusted_advice_slice).unwrap(); + } } }); - let check_input_len = quote! {}; + let check_input_len = if let Some(input_error) = &attributes.input_error { + quote! { + // The device zero-fills unused input capacity; no logical length is exposed. + if __jolt_input_slice.iter().any(|byte| *byte != 0) { + break '__jolt_decode { #input_error }; + } + } + } else { + quote! {} + }; let attrs = &self.func.attrs; let output = &self.func.sig.output; @@ -840,6 +881,24 @@ impl MacroBuilder { let __jolt_to_return = #inner_fn_name(#(#all_names),*); }; + let decode_and_call = quote! { + #(#pub_args_fetch;)* + #(#untrusted_advice_args_fetch;)* + #(#trusted_advice_args_fetch;)* + #check_input_len + #block + }; + let decode_and_call = if attributes.input_error.is_some() { + quote! { + let __jolt_to_return = '__jolt_decode: { + #decode_and_call + __jolt_to_return + }; + } + } else { + decode_and_call + }; + let handle_return = match &self.func.sig.output { ReturnType::Default => quote! {}, ReturnType::Type(_, ty) => quote! { @@ -871,11 +930,7 @@ impl MacroBuilder { #get_input_slice #get_untrusted_advice_slice #get_trusted_advice_slice - #(#pub_args_fetch;)* - #(#untrusted_advice_args_fetch;)* - #(#trusted_advice_args_fetch;)* - #check_input_len - #block + #decode_and_call #handle_return unsafe { ::core::ptr::write_volatile(#termination_bit as *mut u8, 1); diff --git a/jolt-sdk/src/host_utils.rs b/jolt-sdk/src/host_utils.rs index 7bac463967..4024c53f05 100644 --- a/jolt-sdk/src/host_utils.rs +++ b/jolt-sdk/src/host_utils.rs @@ -1,6 +1,7 @@ #[cfg(feature = "host")] +use std::error::Error as StdError; +#[cfg(all(feature = "host", not(feature = "akita")))] use std::{ - error::Error as StdError, io::{Error as IoError, ErrorKind}, sync::Arc, }; @@ -15,10 +16,14 @@ use jolt_crypto::{Bn254G1, Pedersen}; use jolt_dory::DoryHint; #[cfg(any(feature = "host", feature = "guest-verifier"))] use jolt_dory::{DoryCommitment, DoryScheme}; -#[cfg(feature = "host")] +#[cfg(any(feature = "host", feature = "guest-verifier"))] +use jolt_field::Fr; +#[cfg(all(feature = "host", not(feature = "akita")))] use jolt_prover::dory::stages::stage0::TrustedAdviceCommitment; #[cfg(feature = "host")] -use jolt_prover::{JoltProverPreprocessing as GenericJoltProverPreprocessing, ProverConfig}; +use jolt_prover::JoltProverPreprocessing as GenericJoltProverPreprocessing; +#[cfg(all(feature = "host", not(feature = "akita")))] +use jolt_prover::ProverConfig; #[cfg(all( any(feature = "host", feature = "guest-verifier"), feature = "transcript-blake2b" @@ -35,7 +40,7 @@ use jolt_transcript::ProverState; use jolt_transcript::VerifierState; #[cfg(feature = "host")] use jolt_verifier::ProgramPreprocessing as GenericProgramPreprocessing; -#[cfg(feature = "host")] +#[cfg(all(feature = "host", not(feature = "akita")))] use jolt_witness::{JoltVmWitnessConfig, JoltVmWitnessInputs, TraceBackend as WitnessTraceBackend}; #[cfg(feature = "host")] use tracer::TracerInlineExpansionProvider; @@ -84,7 +89,7 @@ pub type VerifierPCS = DoryScheme; #[cfg(feature = "host")] pub type VerifierVC = Pedersen; #[cfg(feature = "host")] -pub type VerifierField = jolt_field::Fr; +pub type VerifierField = Fr; #[cfg(feature = "host")] pub type VerifierTranscript<'a> = VerifierState<'a, ProtocolSponge>; #[cfg(feature = "host")] @@ -141,7 +146,7 @@ pub enum ProgramPreprocessingMode { Committed, } -#[cfg(feature = "host")] +#[cfg(all(feature = "host", not(feature = "akita")))] pub fn preprocess_program( source: &mut dyn host::JoltProgramSource, memory_config: MemoryConfig, @@ -157,7 +162,7 @@ pub fn preprocess_program( } } -#[cfg(feature = "host")] +#[cfg(all(feature = "host", not(feature = "akita")))] pub fn verifier_preprocessing_from_prover( prover: &JoltProverPreprocessing, ) -> JoltVerifierPreprocessing { @@ -169,7 +174,7 @@ pub type VerifierPCS = DoryScheme; #[cfg(all(feature = "guest-verifier", not(feature = "host")))] pub type VerifierVC = Pedersen; #[cfg(all(feature = "guest-verifier", not(feature = "host")))] -pub type VerifierField = jolt_field::Fr; +pub type VerifierField = Fr; #[cfg(all(feature = "guest-verifier", not(feature = "host")))] pub type VerifierTranscript<'a> = VerifierState<'a, ProtocolSponge>; #[cfg(all(feature = "guest-verifier", not(feature = "host")))] @@ -255,7 +260,7 @@ pub fn compute_advice_tape( Ok(trace.advice_tape) } -#[cfg(feature = "host")] +#[cfg(all(feature = "host", not(feature = "akita")))] #[expect( clippy::too_many_arguments, reason = "SDK proof boundary mirrors guest inputs" diff --git a/jolt-sdk/src/lib.rs b/jolt-sdk/src/lib.rs index 13e74f43e4..8d94499787 100644 --- a/jolt-sdk/src/lib.rs +++ b/jolt-sdk/src/lib.rs @@ -342,6 +342,33 @@ pub use jolt_sdk_macros::advice; pub use jolt_sdk_macros::provable; pub use postcard; +/// Wraps the Dory prove and verify functions `#[jolt::provable]` generates. +/// The `akita` feature compiles out the Dory prover they call, so a host build +/// that unifies it with a provable crate gets one error naming the cause +/// instead of unresolved paths into the missing Dory API. +#[doc(hidden)] +#[cfg(not(all(feature = "host", feature = "akita")))] +#[macro_export] +macro_rules! __dory_host_items { + ($($item:item)*) => { + $($item)* + }; +} + +#[doc(hidden)] +#[cfg(all(feature = "host", feature = "akita"))] +#[macro_export] +macro_rules! __dory_host_items { + ($($item:item)*) => { + ::core::compile_error!( + "#[jolt::provable] host functions prove and verify with Dory, but this build \ + enables jolt-sdk's `akita` feature, which compiles the Dory prover out (the \ + recursion example's `akita` feature turns it on). Build Akita hosts separately, \ + against `jolt::jolt_prover::akita`." + ); + }; +} + use bytemuck::Pod; use serde::{Deserialize, Serialize}; diff --git a/jolt-sdk/src/runtime/boot.rs b/jolt-sdk/src/runtime/boot.rs index 8122f67958..0ccb33f0c6 100644 --- a/jolt-sdk/src/runtime/boot.rs +++ b/jolt-sdk/src/runtime/boot.rs @@ -11,7 +11,7 @@ macro_rules! debug_writeln { }; } -#[cfg(target_os = "none")] +#[cfg(any(target_os = "none", feature = "guest-size-class-alloc"))] use zeroos::foundation::ops::MemoryOps; extern "C" { @@ -37,15 +37,17 @@ pub extern "C" fn __platform_bootstrap() { zeroos::initialize(); - // no_std guests: register the O(1) size-class allocator BEFORE kinit (the - // registered ops receive the heap). This is the only registration — - // no_std builds enable just zeroos's `memory` feature, so `initialize()` - // above registers no allocator and `linked_list_allocator` stays out of - // the guest binary. Motivation and measurements in - // `jolt_platform::size_class_alloc`. std/musl guests keep ZeroOS's - // linked-list allocator (musl's malloc manages its own arenas over - // mmap/brk). - #[cfg(target_os = "none")] + // Register the O(1) size-class allocator as ZeroOS's kernel heap BEFORE + // kinit (the registered ops receive the heap). no_std builds enable just + // zeroos's `memory` feature, so `initialize()` above registers no + // allocator and `linked_list_allocator` stays out of the guest binary. + // std guests on `guest-size-class-alloc` replace the linked-list allocator + // `initialize()` registered: the kernel heap backs musl's mmap (malloc + // arenas, pthread stacks), and the Rust global allocator draws from the + // same arena, so neither side has a fixed share of the heap. Other std + // guests keep the linked-list allocator. Motivation and measurements in + // `jolt_platform::size_class_alloc`. + #[cfg(any(target_os = "none", feature = "guest-size-class-alloc"))] zeroos::foundation::register_memory(MemoryOps { init: jolt_platform::size_class_alloc::init, alloc: jolt_platform::size_class_alloc::alloc, @@ -121,6 +123,11 @@ pub extern "C" fn __platform_bootstrap() { } } } + + // Before any field arithmetic, prove the field-inline unit computes in + // the field the guest selected; a no-op without a jolt-field selector. + #[cfg(feature = "guest-std")] + jolt_field::bind_field_inline_modulus(); } #[cfg(feature = "zeroos-vfs-device-console")] diff --git a/jolt-sdk/src/runtime/mod.rs b/jolt-sdk/src/runtime/mod.rs index 753ec4a018..fd3c7126bb 100644 --- a/jolt-sdk/src/runtime/mod.rs +++ b/jolt-sdk/src/runtime/mod.rs @@ -25,6 +25,41 @@ cfg_if::cfg_if! { pub fn exit(code: i32) -> ! { std::process::exit(code) } + + /// Rust allocations on jolt-platform's size-class arena, which + /// `__platform_bootstrap` also registers as ZeroOS's kernel heap. + #[cfg(feature = "guest-size-class-alloc")] + struct SizeClassAllocator; + + #[cfg(feature = "guest-size-class-alloc")] + use core::alloc::{GlobalAlloc, Layout}; + + #[cfg(feature = "guest-size-class-alloc")] + // SAFETY: the arena is initialized in `__platform_bootstrap` before + // any Rust allocation. Calls never overlap: the hart takes no + // interrupts, kernel allocations run only inside syscalls, the + // cooperative scheduler switches threads only inside syscalls, and the + // allocator itself never traps. + unsafe impl GlobalAlloc for SizeClassAllocator { + unsafe fn alloc(&self, layout: Layout) -> *mut u8 { + jolt_platform::size_class_alloc::alloc(layout) + } + unsafe fn dealloc(&self, ptr: *mut u8, layout: Layout) { + jolt_platform::size_class_alloc::dealloc(ptr, layout) + } + unsafe fn realloc( + &self, + ptr: *mut u8, + layout: Layout, + new_size: usize, + ) -> *mut u8 { + jolt_platform::size_class_alloc::realloc(ptr, layout, new_size) + } + } + + #[cfg(feature = "guest-size-class-alloc")] + #[global_allocator] + static ALLOCATOR: SizeClassAllocator = SizeClassAllocator; } else if #[cfg(target_os = "none")] { pub use jolt_platform::putchar; diff --git a/jolt-sdk/src/runtime/trap.rs b/jolt-sdk/src/runtime/trap.rs index 362f4bff26..3b434cb74b 100644 --- a/jolt-sdk/src/runtime/trap.rs +++ b/jolt-sdk/src/runtime/trap.rs @@ -33,6 +33,10 @@ fn instr_len(addr: usize) -> usize { } } +/// RISC-V Linux syscall numbers the trap handler answers itself. +const SYS_WRITE: usize = 64; +const SYS_CLOCK_GETTIME: usize = 113; + /// # Safety /// `regs` must be a non-null pointer to a valid `TrapFrame` for the current CPU trap context. #[no_mangle] @@ -57,6 +61,33 @@ pub unsafe extern "C" fn trap_handler(regs: *mut u8) { zeroos::debug::writeln!("[syscall] {}", zeroos::os::linux::syscall_name(nr)); } + // write(2) to stdout or stderr: route the bytes to the host console, + // so std guests' `println!` and panic messages reach the tracer + // instead of failing with ENOSYS and aborting silently. Without the + // `stdout` feature ZeroOS has no console; with it, this takes the + // console's path (one host call per write, keeping multi-byte UTF-8 + // intact) and skips the VFS. Descriptors 1 and 2 always reach the + // host, even if the guest closed or redirected them. + if (*regs).a7 == SYS_WRITE && ((*regs).a0 == 1 || (*regs).a0 == 2) { + super::__platform_stdout_write((*regs).a1 as *const u8, (*regs).a2); + (*regs).a0 = (*regs).a2; + return; + } + // clock_gettime(2): the zkVM has no clock, so every clock reads as + // a zero timespec rather than failing with ENOSYS; std's + // `Instant::now` aborts on failure, and verifier code may take + // timestamps for diagnostics. A fixed value also keeps execution + // deterministic. Documented for guest authors under "Time" in + // book/src/usage/guests_hosts/guests.md. + if (*regs).a7 == SYS_CLOCK_GETTIME { + let ts = (*regs).a1 as *mut u64; + if !ts.is_null() { + ts.write(0); + ts.add(1).write(0); + } + (*regs).a0 = 0; + return; + } let ret = zeroos::foundation::kfn::trap::ksyscall( (*regs).a0, (*regs).a1, diff --git a/jolt-sdk/tests/verifier_api.rs b/jolt-sdk/tests/verifier_api.rs index 756742e237..f23778a5eb 100644 --- a/jolt-sdk/tests/verifier_api.rs +++ b/jolt-sdk/tests/verifier_api.rs @@ -1,5 +1,6 @@ #[cfg(test)] -#[cfg(feature = "host")] +// These fixtures contain Dory proofs; Akita uses a different proof envelope. +#[cfg(all(feature = "host", not(feature = "akita")))] mod tests { use jolt_sdk::{ deserialize_verifier_object, JoltDevice, JoltVerifierPreprocessing, RV64IMACProof, diff --git a/specs/recursion-guest.md b/specs/recursion-guest.md new file mode 100644 index 0000000000..ccd45285ea --- /dev/null +++ b/specs/recursion-guest.md @@ -0,0 +1,331 @@ +# Recursion verifier guest + +The recursion example executes Jolt's Akita verifier as a RISC-V guest: it +verifies an inner Akita, field-inline proof and reports the verdict. The cost of +interest is the guest's **total trace rows**, the length an outer proof of that +execution would have to cover, including setup and proof decoding. The working +target is a Fibonacci inner proof below 2^26 rows; this revision is 11,924,024 +rows above it (see [Measurements](#measurements)). This document records the +mechanisms the guest uses, the trust they rely on, and where the rows go. + +Only trace execution is implemented for the Akita guest. No outer recursive +proof of it is generated. + +## Trust model + +The guest distinguishes two kinds of input. + +- **Proof data** (the inner proof and its I/O device) is untrusted and goes + through fallible record decoding and the ordinary verifier. Malformed framing, + noncanonical fields, and decoding failures return `0`. Each encoded record is + limited to 16 MiB, with a conservative 16 MiB aggregate collection-storage + budget during decoding; excess lengths reject before collection allocation. + Raw setup bodies are borrowed within the checked stream bounds. +- **Setup data** is trusted. It is the verifier preprocessing, the Akita + verifier key with its public matrix, a catalog view of the selected schedule + row, and that row's terminal-matrix NTT cache. The guest takes the matrix as + seed-derived without re-expanding it, and uses the NTT residues where they lie + without a range pass. + +Trusted setup data must be bound to the program identity. With `--embed` the +host bakes it into the guest image, so the ELF digest is the binding. In input +mode the host bakes a BLAKE2b-512 digest into the image at build time. It covers +the entire framed setup section: the preprocessing record, detached-body count, +and every detached body (key matrix, catalog view, and terminal NTT cache), +including their lengths and padding. The leading input-alignment record is +excluded. The guest checks this pin before decoding setup or constructing any +`TrustedBytes`; a missing digest or mismatch returns verdict `0`. Rebuilding +with a different setup changes the image identity, which the consumer must pin. +The preprocessing digest alone does not cover the detached payloads. Embedded mode is the configuration the row count +refers to. + +What the guest still checks on setup data: + +- The catalog view repeats the full semantic audit of every row it carries and + recomputes the complete catalog digest from the committed row identities. The + transcript therefore binds the same setup identity as the full catalog. +- The NTT cache checks its header, its setup and schedule bindings, its + geometry, its lengths, and its alignment. +- Field-inline readouts reject non-canonical integers. + +## Recursive statement + +The recursive statement is: under the setup bound by this guest image, the +postcard-decoded record slice contains a nonempty batch of valid inner +proof/device pairs. The count must be at least one and no bytes may follow the +last padded record within that slice. The entry point also requires every byte +from the end of the postcard envelope to the end of the input capacity to be +zero. The runtime exposes a zero-padded region, not the submitted input length, +so an explicit zero suffix is indistinguishable from unused capacity and is +allowed. A nonzero transport suffix, malformed envelope, or malformed record +returns `0`; acceptance returns `1`. The output is +still one `u32` and does not commit separately to the count or inner devices. +A consumer checking a particular computation must bind the runtime input and +inspect the intended count and devices; checking the verdict alone establishes +only that some nonempty batch verifies under the image's setup. + +## Record limits + +The image builder runs the same bounded serde adapter over each supplied setup, +count, proof, and device record and logs both its encoded length and its charged +size. The byte cap is the next power of two of the largest record, with a 16 MiB +floor. The allocation-charge cap is the next power of two of twice the largest +charge, also with a 16 MiB floor. Both caps are constants in the generated guest; +untrusted runtime lengths cannot raise them. Detached setup bodies are borrowed +and are not decoded records. Embedded setup removes the bytecode vector before +encoding, so using the full input-mode setup to size its cap is conservative; +the additional embedded digest record is only 32 bytes. + +A trace of `2^20` rows does not bound the size of the program image, bytecode, +public I/O, or schedule catalog. There is consequently no universal largest +honest record at that trace length. In full-program mode the setup can dominate: +`JoltInstructionRow` contains at least an eight-byte address and a sixteen-byte +immediate, so a `2^20`-row bytecode vector alone incurs at least +`2 * 24 * 2^20 = 48 MiB` of charge before the nested struct/operand charges, +PC map, RAM image, and setup metadata. A `2^20`-word RAM vector adds +`2 * 8 * 2^20 = 16 MiB`. These terms alone exceed the former 16 MiB cap. +For comparison, a vector of `2^20` Fp128 values has 16 MiB of field bytes but +costs `2 * 16 * 2^20` for vector storage plus `2 * 16 * 2^20` for the fixed +byte-array decodes: 64 MiB of charge. This is a type-based estimate, not a claim +that sumcheck proofs contain one scalar per trace row. + +Image-specific sizing avoids guessing a universal cap from trace length. It +admits the records supplied to the builder under the supported 64-bit host and +guest layouts, including the input-mode setup; other record shapes must fit the +pinned limits or need a newly sized image. The builder reserves at least eight +times the charge cap for the heap, accounting for the resident setup, proof, +and device plus growth and verifier work. The charge is not a peak-heap proof: +custom deserializers and backend verification can allocate outside the adapter, +and transient vector growth can exceed its factor-of-two charge. Runtime peak +memory and acceptance at large sizes still require Linux validation. + +## Mechanisms + +### Field arithmetic on the field-inline ISA + +The field-inline unit computes in the one field the outer proof fixes, so the +guest selects it: `field-inline-guest-fp128` routes the Fp128 protocol prime +(Akita) and `field-inline-guest-bn254` routes BN254 `Fr` (Dory); every other +field keeps its software arithmetic. The routed field's dot products, row +dots, product sums, signed sums, multiplications, and inversions run through +field-inline instructions (`field_inline.rs`). + +- **Operand ingress** clears a field register (`FIELD_LOAD_IMM 0`), then folds + the operand's words in with `FIELD_LOAD_ACCUMULATE_FROM_MEMORY` (two for + Fp128, four for Fr). +- **Readout** emits one range-bound `FIELD_ADVICE_LIMB` per limb and closes with + `FIELD_ASSERT_ZERO` on the final quotient. The wrapper then rejects an integer + at or above the modulus. +- **Modulus binding.** That range check assumes the unit computes modulo the + selected field. jolt-sdk's std runtime therefore calls + `jolt_field::bind_field_inline_modulus` once at boot: it accumulates the + field's modulus into a cleared register and asserts zero, so a guest built for + one field has no execution under a tracer for the other, instead of computing + wrong results that still read out canonically. +- **Accumulation** stays register-resident. A 64-term dot costs about 520 rows, + about 8 per element: two 3-row operand loads, one multiply, and one add. +- **Shared operands** let the weighted-rows kernel load each power once per + block of five rows (5 rows per element and row). `dot_rows` does the same + for several rows against one shared vector, and `sum_of_products` forms + `K`-factor products in registers. +- **Signed sums** (`Field::signed_sum`) keep a sum of ± elements in a field + register: 4 rows per term, against about 24 for a reduced software add. + Isolated additions stay in software, where two-limb arithmetic wins. The + sum's iterator runs between terms, so the accumulating kernels are marked + lent until the readout and take their software path if the iterator calls + them. + +### Hash and NTT inlines + +- **Blake2b inline** (`jolt-inlines-blake2`, with a `digest` adapter). The Jolt + transcript, descriptor digests, layout digests, and the preprocessing digest + hash through it, with the same bytes as the `blake2` crate. Akita's + transcript is spongefish's own `Hash` sponge over that adapter. +- **Keccak inline** for Akita's SHAKE challenge sampler (`keccak-inline`). +- **64-point i32 NTT and six-product pointwise dot** (`jolt-inlines-ntt`). + These expand into existing proved integer instructions, with no advice and no + new constraints. Akita's `ntt-inline` feature dispatches the 64-dimension CRT + transforms and lazy Montgomery dots to them. The signed-digit conversion is + fused into the twist (`psi^i · R^2` table). Butterfly sums are reduced by a + Montgomery product with the stage's first twiddle, the Montgomery form of 1 + (5 rows against a 7-row conditional reduction). + +### Prepared verifier setup + +`AkitaVerifierSetup::prepare_verifier(row)` (host side) carries a +`PreparedVerifier` for the single schedule row the proof selected: + +- the serialized backend key, which saves the guest the seed expansion of the + public matrix; +- a catalog **verifier view** carrying only that row's parameters, which + replaces JSON parsing and the audit of every row; +- the scalar Q128 **terminal NTT cache**, which saves the guest the matrix NTT. + +The guest builds `AkitaVerifier::for_selection` from these. It admits only that +row and installs the cache as `TrustedTerminalCache::View`. A setup prepared +for one row verifies only proofs for that row of its flavor. + +`detach_prepared_payloads` / `attach_prepared_payloads` move the multi-megabyte +payloads out of the bincode record. Each detached body is self-aligning: a skew +byte puts the key's coefficients on an 8-byte boundary. The guest then views +them where they lie, either in its image or its input, instead of copying them. + +With `--embed` the host also: + +- compiles the bytecode rows into a static table; +- bakes the preprocessing digest computed over the complete program next to the + row-less record. The guest assembles the preprocessing from the wire form, the + rows, and that digest. Decoding the ordinary record would re-encode and hash + the whole program, and would hash the wrong (row-less) program. + +### Guest runtime + +- An O(1) size-class allocator for std guests. +- No custom `mem*` routines. musl's `memcpy`, `memset`, and `memcmp` move + data partly in sub-word accesses, each a multi-row sequence, so hot paths + avoid them: + - The Blake2b hasher packs input into message words. + - The size-class allocator's `realloc` moves whole words. + - The jolt CLI raises LLVM's inline-store limits (`-max-store-memcpy=32`, + `-max-store-memset=32`), so constant-size copies and fills compile to + word stores. +- `serde_bytes` on every proof and setup byte payload. +- 8-byte-aligned guest record framing. +- `write(2)` to stdout and stderr and `clock_gettime(2)` answered in the trap + handler: writes go to the host console in one host call each, and every + clock reads as a zero timestamp. + +### Verifier algebra reshaped for guest costs + +- **Derived leaves for batching powers** (`ChallengePow`, `GammaPow`): one + factor per term instead of `k` repeated challenge factors. +- **Direct output-claim value walks**, and **indexed claim-family lookups** + instead of scans. +- **Factored Spartan outer check.** The clear stage-1 output check evaluates + `JoltSpartanOuterRemainder::expected_output_claim` (the factored R1CS form) + rather than the expanded quadratic expression. BlindFold still lowers the + symbolic expression. Both read their coefficients from + `JoltSpartanOuterRemainder`, and a test pins their equality on the RV64 and + field-inline shapes. This is the one place where clear verification does not + evaluate the jolt-claims expression directly. Reviewers should weigh it + against the expression-ownership invariant. +- **Bytecode read-RAF:** stage values are folded against the address eq table + by flag class: rows sharing a decoded flag set share one gamma bucket, and + register operands accumulate into per-register buckets that meet the eq + tables once. Expression storage is reused when multiplying by a monomial, + and opening ids are word-aligned. +- **Outer-remainder opening set.** `expected_output_openings` reads the stage-1 + remainder's openings off its two linear factors instead of expanding + `tau·Az·Bz` into thousands of terms; a test pins the result to the expanded + form. +- **Transcript batching.** Sumcheck round coefficients and each batch of opening + claims absorb as one labeled message (count plus big-endian values). This is + a transcript format change for every proof. +- **Sparse MLEs** evaluate contiguous runs from one low eq table and one high + factor per aligned block. +- **Akita terminal relations** are folded coefficient-major: the base-field + consistency fold of `z` is one dot product per ring coefficient, and sparse + challenge products are one signed sum per output coefficient. +- **Sub-word memory.** A Jolt guest expands byte, half, and word stores and + loads into multi-row sequences (a `sw` costs about 9 rows), so hot tables use + word-sized slots, NTT inputs are written with doubleword stores, and proof + atoms encode into an inline word-aligned buffer instead of a heap vector. +- **Akita guest paths:** word-window Golomb–Rice decoding, merged equality + recurrences, factor-cached and prepared residual tensor contractions, + certified first-octant trig enclosures, batched compression-relation sums, + direct SHAKE rate-lane sampling, and weighted-row batching in the setup scans. + +## Measurements + +Fibonacci, one inner proof, `--features akita,field-inline,ntt-inline`, +`trace --embed`, release guest, `RAYON_NUM_THREADS=1`. Each row is the +cumulative total after its change. From the rebase onto `main` through the +fast-mem rows, every row traces one freshly generated proof with the pinned +companion; the last row traces a fresh proof at this revision. + +| Build | Total rows | +| --- | ---: | +| 2^26 line (`archive/fast-recursion-2pow26-local-20260914`, old ISA and Akita) | 66,843,409 | +| Port onto `main` with embedded digest | 83,677,076 | +| + read-RAF fold by flag class | 80,464,758 | +| + `dot_rows` and `sum_of_products4` compression kernels | 79,386,540 | +| + Keccak inline for SHAKE sampling | 78,797,012 | +| + batched transcript absorption | 76,534,550 | +| + NTT Montgomery-one reduction, inline mask-prefix sponge | 75,102,679 | +| + word-window Golomb decode, coefficient-major terminal `z` fold | 72,389,735 | +| + outer-remainder opening set, signed-sum challenge products | 69,361,519 | +| + in-place digest transcript, blocked sparse MLE | 68,530,020 | +| + doubleword NTT input stores, word-sized flag-class slots | 67,738,580 | +| + inline proof-atom encoding | 66,554,373 | +| Fresh proof before rebasing onto `main` (64,433,863 verification cycles) | 66,273,665 | +| Rebase onto `main`, Akita `22530c7b`, fresh proof | 66,254,853 | +| + direct read-RAF and digit-zero output opening sets | 65,441,486 | +| − word-wise `memcpy`, `memset`, and `memcmp` overrides | 69,059,130 | +| + inline-store limits, Blake2b word packing, word-copy `realloc` | 67,622,320 | +| Merge `main`: native Akita trace batching (#2012), Akita `d98400c5` (#175), fresh proof | 78,896,208 | +| Akita review revisions of LayerZero-Labs/akita#186-#190 on Akita `main` `401e7972`, spongefish's own Blake2b sponge, lent-accumulator `signed_sum`, fresh proof | 79,348,402 | +| Merge `main`: Akita `318c3221` (#193), unified trace rows (#1996), fallible chunked decode and live-entry residual tables, fresh proof (77,245,072 verification cycles) | 79,335,454 | +| **Merge `main`: Akita `cf95fd05` (BlockDigits dense commit, #236-#242), whole-table bytecode (#2030), fresh proof** (76,947,621 verification cycles) | **79,032,888** | + +The first row was rebuilt and re-measured from its archived sources and +reproduces its recorded numbers exactly. Input mode, which reads the setup +from the guest input, accepts at 86,461,879 rows. A proof with one bit flipped +in its Akita opening proof is rejected after 60,136,155 rows, inside the PCS +verifier. + +The merge's increase is inside the Akita trace-batch opening +(`verify_trace_batch`, 56.07M to 67.86M rows), almost all of it in the root +fold (`verify_root`, 14.56M to 24.46M rows): its relation-matrix evaluation +and direct setup-contribution scan run over the natively batched trace +columns. The terminal checks are unchanged. + +The last row's 452,194-row increase nets two measured effects, besides the +boot-time modulus binding. Replacing the +hand-written transcript sponge, which reused each phase's compressed mask block, +with spongefish's sponge over the inline adapter costs about 1.16M rows, and the +remaining review revisions save about 0.71M. The `signed_sum` accumulator guard +costs about 9,000 rows. Recovering the mask compressions through a digest that +recognizes the mask blocks cost more rows (0.36M) than it saved, because the +128-byte check runs bytewise in the guest. + +## Levers not taken here + +- **Load into a cleared register.** Every field operand load would drop from + 3 rows to 2 if the ISA had a non-accumulating memory load, which the + 2^26-era ISA had. This touches every field-inline operand, so it is the + largest remaining lever. It is a field-inline protocol change. +- **Cheaper sub-word memory.** Tiers 1 and 2 of + [byte-addressable-memory.md](byte-addressable-memory.md) lower the row cost + of byte, half, and word accesses, which musl's `mem*` routines and proof + decoding still issue in bulk. It is a protocol change, tracked in #2013. +- **Horner or multi-output dots for geometric powers.** The compression-matrix + columns evaluate `Σ c_j α^j` with shared powers; a Horner kernel removes the + power loads (about 1.7M rows). +- **Compression-event layout.** `CompressionRelationWeights::evaluate_at_point` + spends about 120 of its 150 rows per event on per-event bookkeeping. A + layout that groups events by alpha range at build time would let the + evaluation run as plain dot products. +- **Lazy NTT reduction or a merged twist.** Under the inline's contract (any + prime below 2^30, operands in (-p, p)) any skipped reduction leaves the + final stage above p, and a merged-twist Cooley–Tukey butterfly needs two + reductions where Gentleman–Sande needs one, so neither saves rows without a + narrower contract. +- **Proof field decoding.** Fp128 elements decode through serde's per-byte + `[u8; 16]` tuple path (about 100 rows each); a faster path changes the + bincode wire format. +- **Measured and rejected:** a single-pass operator-norm accumulation (more + rows than the chunked kernel) and a merged per-event cache in the + compression evaluation (65K rows, not worth the code). + +## Reproduction + +```bash +export RAYON_NUM_THREADS=1 RUST_MIN_STACK=268435456 CARGO_BUILD_JOBS=1 +cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ + generate --example fibonacci --workdir /tmp/recursion +cargo run --release -p recursion --features akita,field-inline,ntt-inline -- \ + trace --embed --example fibonacci --workdir /tmp/recursion +``` + +CI runs the same flow in embedded mode and requires the guest to reject a proof +with one tampered opening. diff --git a/src/main.rs b/src/main.rs index 7dc522f464..89aa21ec5b 100644 --- a/src/main.rs +++ b/src/main.rs @@ -211,6 +211,11 @@ fn build_command(args: JoltBuildArgs) -> Result<()> { &opt_flag, // Disable MachineOutliner: generates broken call patterns on RISC-V (infinite loops). "-Cllvm-args=-enable-machine-outliner=never", + // Inline constant-size copies and fills up to 32 stores. LLVM's RISC-V + // defaults call libc instead, whose routines move data in sub-word + // accesses that each cost a multi-row sequence in the trace. + "-Cllvm-args=-max-store-memcpy=32", + "-Cllvm-args=-max-store-memset=32", "--cfg=getrandom_backend=\"custom\"", ]; From 918566c6725d50061e464cdb665f735f0a2835d2 Mon Sep 17 00:00:00 2001 From: Markos <53157953+markosg04@users.noreply.github.com> Date: Mon, 2 Nov 2026 10:59:09 -0500 Subject: [PATCH 118/131] chore(deps): bump dory-pcs to 0.5.0 (#2236) * chore(deps): bump dory-pcs to 0.5.0 Picks up atomic first-writer-wins setup files (a16z/dory#34), the prepared-point cache prefix check (a16z/dory#35) and cyclotomic GT exponentiation in the verifier (a16z/dory#36). Refreshes the two scheme.rs comments that described the old dory behavior. Co-Authored-By: Claude Opus 5.5 * chore(fuzz): bump dory-pcs to 0.5.0 in fuzz lockfiles Co-Authored-By: Claude Opus 5.5 --------- Co-authored-by: Claude Opus 5.5 --- Cargo.lock | 4 ++-- Cargo.toml | 2 +- crates/jolt-dory/fuzz/Cargo.lock | 4 ++-- crates/jolt-dory/fuzz/Cargo.toml | 2 +- crates/jolt-dory/src/scheme.rs | 23 ++++++++++++----------- crates/jolt-openings/fuzz/Cargo.lock | 4 ++-- crates/jolt-verifier/fuzz/Cargo.lock | 4 ++-- jolt-eval/fuzz/Cargo.lock | 4 ++-- 8 files changed, 24 insertions(+), 23 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index b45fcb17b2..a4637b446e 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -2305,9 +2305,9 @@ dependencies = [ [[package]] name = "dory-pcs" -version = "0.4.2" +version = "0.5.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "065945e9fff3c7dac5d6f72f8260eac82ad577e7c7009b6290847d1252d14d78" +checksum = "7b5d5f7616b5c004760187ebfd126cabe14ec311b7b57f6ae6c9dac71284eb7f" dependencies = [ "ark-bn254", "ark-ec", diff --git a/Cargo.toml b/Cargo.toml index 53c55ce3f5..aa1d95343e 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -301,7 +301,7 @@ light-poseidon = "0.4" digest = "0.11" spongefish = { version = "=0.8.0", default-features = false } jolt-optimizations = { git = "https://github.com/a16z/arkworks-algebra", branch = "dev/twist-shout" } -dory = { package = "dory-pcs", version = "0.4.2", features = [ +dory = { package = "dory-pcs", version = "0.5.0", features = [ "backends", "cache", "disk-persistence", diff --git a/crates/jolt-dory/fuzz/Cargo.lock b/crates/jolt-dory/fuzz/Cargo.lock index 483ef1edfa..b8e8a0550f 100644 --- a/crates/jolt-dory/fuzz/Cargo.lock +++ b/crates/jolt-dory/fuzz/Cargo.lock @@ -390,9 +390,9 @@ dependencies = [ [[package]] name = "dory-pcs" -version = "0.4.2" +version = "0.5.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "065945e9fff3c7dac5d6f72f8260eac82ad577e7c7009b6290847d1252d14d78" +checksum = "7b5d5f7616b5c004760187ebfd126cabe14ec311b7b57f6ae6c9dac71284eb7f" dependencies = [ "ark-bn254", "ark-ec", diff --git a/crates/jolt-dory/fuzz/Cargo.toml b/crates/jolt-dory/fuzz/Cargo.toml index 5655b271f0..5e1ba83c1f 100644 --- a/crates/jolt-dory/fuzz/Cargo.toml +++ b/crates/jolt-dory/fuzz/Cargo.toml @@ -39,7 +39,7 @@ weekly-seconds = 2700 [dependencies] libfuzzer-sys = "0.4" -dory = { package = "dory-pcs", version = "0.4.0" } +dory = { package = "dory-pcs", version = "0.5.0" } jolt-dory = { path = ".." } jolt-field = { path = "../../jolt-field" } jolt-openings = { path = "../../jolt-openings" } diff --git a/crates/jolt-dory/src/scheme.rs b/crates/jolt-dory/src/scheme.rs index 7598abd48f..ab9a574c31 100644 --- a/crates/jolt-dory/src/scheme.rs +++ b/crates/jolt-dory/src/scheme.rs @@ -131,23 +131,24 @@ impl DoryScheme { let canonical_max_num_vars = canonical_setup_log_n(max_num_vars); #[cfg(not(target_arch = "wasm32"))] let setup = { - // dory persists a freshly OsRng-generated URS with an unlocked - // truncating write, so concurrent processes generate different - // random SRS and last-writer-wins. A single run calls setup more - // than once, so it can commit under its own SRS and then load a - // sibling process's, diverging the generators mid-proof. + // dory publishes a freshly OsRng-generated URS first-writer-wins + // via hard_link, but falls back to last-writer-wins rename on + // filesystems without hard links. A single run calls setup more + // than once, so a lost race there can commit under its own SRS and + // then load a sibling process's, diverging the generators + // mid-proof. The lock also stops concurrent processes from each + // generating a URS. let _urs_lock = crate::urs_lock::lock_urs_cache(); ArkworksProverSetup::new_from_urs(canonical_max_num_vars) }; #[cfg(target_arch = "wasm32")] let setup = ArkworksProverSetup::new(canonical_max_num_vars); - // Deliberately NOT priming dory's global prepared-point cache (the - // legacy prover does): the cache only grows and its consumers - // prefix-match blindly, so any process touching two setup sizes — - // the URS seeds generators on the exact size — silently pairs - // against the wrong generators. The saving is ~0.2 s wall of G2 - // Miller preprocessing per 2^20 proof; not worth the footgun. + // Deliberately NOT priming dory's global prepared-point cache: it + // holds one setup's points, so a process touching two setup sizes + // (the URS seeds generators on the exact size) would thrash it, and + // every hit pays a full prefix comparison. The saving is ~0.2 s wall + // of G2 Miller preprocessing per 2^20 proof. DoryProverSetup(setup) } diff --git a/crates/jolt-openings/fuzz/Cargo.lock b/crates/jolt-openings/fuzz/Cargo.lock index 72dc190efb..8289a55561 100644 --- a/crates/jolt-openings/fuzz/Cargo.lock +++ b/crates/jolt-openings/fuzz/Cargo.lock @@ -370,9 +370,9 @@ dependencies = [ [[package]] name = "dory-pcs" -version = "0.4.2" +version = "0.5.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "065945e9fff3c7dac5d6f72f8260eac82ad577e7c7009b6290847d1252d14d78" +checksum = "7b5d5f7616b5c004760187ebfd126cabe14ec311b7b57f6ae6c9dac71284eb7f" dependencies = [ "ark-bn254", "ark-ec", diff --git a/crates/jolt-verifier/fuzz/Cargo.lock b/crates/jolt-verifier/fuzz/Cargo.lock index 9e4adcafb1..68d86f52c8 100644 --- a/crates/jolt-verifier/fuzz/Cargo.lock +++ b/crates/jolt-verifier/fuzz/Cargo.lock @@ -396,9 +396,9 @@ dependencies = [ [[package]] name = "dory-pcs" -version = "0.4.2" +version = "0.5.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "065945e9fff3c7dac5d6f72f8260eac82ad577e7c7009b6290847d1252d14d78" +checksum = "7b5d5f7616b5c004760187ebfd126cabe14ec311b7b57f6ae6c9dac71284eb7f" dependencies = [ "ark-bn254", "ark-ec", diff --git a/jolt-eval/fuzz/Cargo.lock b/jolt-eval/fuzz/Cargo.lock index b2265d4b75..0526e926d5 100644 --- a/jolt-eval/fuzz/Cargo.lock +++ b/jolt-eval/fuzz/Cargo.lock @@ -713,9 +713,9 @@ dependencies = [ [[package]] name = "dory-pcs" -version = "0.4.2" +version = "0.5.0" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "065945e9fff3c7dac5d6f72f8260eac82ad577e7c7009b6290847d1252d14d78" +checksum = "7b5d5f7616b5c004760187ebfd126cabe14ec311b7b57f6ae6c9dac71284eb7f" dependencies = [ "ark-bn254", "ark-ec", From 656e448f5289e121008abc3aa2544e0b0807398d Mon Sep 17 00:00:00 2001 From: Michael Zhu <8365992+moodlezoup@users.noreply.github.com> Date: Mon, 2 Nov 2026 08:22:32 -0800 Subject: [PATCH 119/131] ci: pin firebase-tools to 15.34.0 for mdBook deploy (#2202) firebase-tools 15.34.1 checks that the Hosting API is enabled before deploying, which needs serviceusage.services.get. The deploy service account lacks it, so every Firebase deploy since 2026-10-21 has failed with a 403. Pin the last working release until the account is granted roles/serviceusage.serviceUsageViewer on joltwiki. Co-authored-by: Claude Opus 5.5 --- .github/workflows/deploy-mdbook.yml | 3 +++ 1 file changed, 3 insertions(+) diff --git a/.github/workflows/deploy-mdbook.yml b/.github/workflows/deploy-mdbook.yml index 1689821f0f..1552d5b39f 100644 --- a/.github/workflows/deploy-mdbook.yml +++ b/.github/workflows/deploy-mdbook.yml @@ -55,3 +55,6 @@ jobs: firebaseServiceAccount: "${{ secrets.GCP_SA_KEY }}" projectId: "${{ secrets.FIREBASE_PROJECT_ID }}" channelId: live + # 15.34.1+ checks the Hosting API via serviceusage.services.get, which the + # deploy service account lacks; unpin once it has roles/serviceusage.serviceUsageViewer + firebaseToolsVersion: 15.34.0 From e2c962a35b0b6adc749844f51ff59bf8e7b3381e Mon Sep 17 00:00:00 2001 From: Justin Thaler <39494992+GUJustin@users.noreply.github.com> Date: Mon, 2 Nov 2026 11:30:58 -0500 Subject: [PATCH 120/131] fix(kernels): gate parallel bytecode batch geometry (#2238) --- crates/jolt-kernels/src/optimized/bytecode_read_raf.rs | 3 +++ 1 file changed, 3 insertions(+) diff --git a/crates/jolt-kernels/src/optimized/bytecode_read_raf.rs b/crates/jolt-kernels/src/optimized/bytecode_read_raf.rs index 69b748bdc7..11870409fb 100644 --- a/crates/jolt-kernels/src/optimized/bytecode_read_raf.rs +++ b/crates/jolt-kernels/src/optimized/bytecode_read_raf.rs @@ -1085,6 +1085,7 @@ struct CycleGrouping { /// Distinct groups the merge cache holds, and the sampled block length. entries: usize, /// Groups per map-reduce task; repeated groups merge only within one task. + #[cfg(feature = "parallel")] batch: usize, /// Fewest groups for which this window is sampled at all. min_groups: usize, @@ -1096,6 +1097,7 @@ impl CycleGrouping { const SHORT: Self = Self { entries: 64, + #[cfg(feature = "parallel")] batch: CYCLE_CHUNK, min_groups: 0, }; @@ -1104,6 +1106,7 @@ impl CycleGrouping { /// win more from merging than they lose to parallelism. const LONG: Self = Self { entries: Self::LONG_ENTRIES, + #[cfg(feature = "parallel")] batch: Self::LONG_BATCH, min_groups: Self::LONG_BATCH, }; From 54f30ce779e523665134eac6dfff81cf78a90c40 Mon Sep 17 00:00:00 2001 From: Andrew Tretyakov Date: Mon, 2 Nov 2026 17:39:52 -0500 Subject: [PATCH 121/131] ci(recursion): remove recursion guest verdicts job (#2242) * ci(recursion): split recursion guest verdicts into parallel jobs under 30 minutes The recursion guest job took 56-74 minutes, and 95% of its verdict time was compiling guest images: the host rewrote its generated guest sources before every command, and cargo's mtime-based freshness check then rebuilt byte-identical images, each with a fat-LTO link of the verifier stack. - Write generated guest sources only when their bytes change, so a command whose image matches the previous build reuses it. - Run the Akita verdicts as three parallel shards (single proof, batch and muldiv, field kernels and parsers) and Dory as its own job, each with a 30-minute timeout; same-image commands run back to back. - Build the host outside CARGO_BUILD_JOBS=1, which still covers every guest build. - Select the jolt-akita setup-encoding test with --lib, so only the library test binary that contains it is built. The 30 commands and their expected verdicts are unchanged. * ci(recursion): remove recursion guest verdicts job --- .github/workflows/rust.yml | 74 -------------------------------------- 1 file changed, 74 deletions(-) diff --git a/.github/workflows/rust.yml b/.github/workflows/rust.yml index 54fb8ff534..557fb42a5d 100644 --- a/.github/workflows/rust.yml +++ b/.github/workflows/rust.yml @@ -1047,77 +1047,3 @@ jobs: # lake-package-directory: ./zklean-extractor/jolt-zklean # build: true # test: true - - test-recursion-akita-guest: - runs-on: ubuntu-latest - timeout-minutes: 120 - name: Recursion guest verdicts (Akita, embedded setup) - steps: - - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7 - - uses: actions-rust-lang/setup-rust-toolchain@ecabd13d1c56bd1345c230e542e9144811ad706f # v2 - with: - components: rust-src - cache: false - - uses: Swatinem/rust-cache@6323deb102c322ba6fcbdcafc7e3dddab59af2b6 # v2 - with: - shared-key: release-tests - save-if: false - cache-directories: ~/.cache/dory - - name: Cache ZeroOS musl toolchain - id: cache-zeroos-musl - uses: actions/cache@55cc8345863c7cc4c66a329aec7e433d2d1c52a9 # v6 - with: - path: ~/.zeroos/musl - key: zeroos-musl-toolchain-musl-1.2.3-gcc-9.4.0-Linux-x86_64 - - name: Install ZeroOS musl toolchain - if: steps.cache-zeroos-musl.outputs.cache-hit != 'true' - run: | - curl -fsSL https://github.com/LayerZero-Labs/ZeroOS/releases/download/musl-toolchain-musl-1.2.3-gcc-9.4.0/zeroos-musl-toolchain-musl-1.2.3-gcc-9.4.0-Linux-x86_64.tar.gz -o /tmp/zeroos-musl.tar.gz - mkdir -p ~/.zeroos - tar -xzf /tmp/zeroos-musl.tar.gz -C ~/.zeroos - - name: Build and install jolt CLI - run: cargo install --path . --locked --force --profile ci --target-dir target - - name: Install nextest - uses: taiki-e/install-action@1168f6810a3cb30a3514bf5756a3b7f0422c6df8 # v2 - with: - tool: nextest - - name: Guest parser and setup transport rejection tests - run: | - cargo nextest run --cargo-profile ci -p recursion --features akita,field-inline,ntt-inline - cargo nextest run --cargo-profile ci -p jolt-akita -E 'test(current_setup_encoding_decodes_with_optional_payloads)' - - name: Recursion guest verdicts (embedded setup) - env: - CARGO_BUILD_JOBS: 1 - run: | - cargo build --locked --profile ci -p recursion --features akita,field-inline,ntt-inline - export JOLT_PATH="$(command -v jolt)" - recursion=target/ci/recursion - work="$RUNNER_TEMP/recursion" - "$recursion" check-field-kernels - "$recursion" generate --example fibonacci --workdir "$work/proofs" - "$recursion" check-input-framing --embed --example fibonacci --workdir "$work/proofs" - "$recursion" trace --example fibonacci --workdir "$work/proofs" - for target in sumcheck claim output panic empty; do - "$recursion" tamper --target "$target" --example fibonacci --workdir "$work/proofs" --output "$work/$target" - "$recursion" trace --embed --expect reject --example fibonacci --workdir "$work/$target" - done - "$recursion" generate --example fibonacci --proofs 2 --workdir "$work/two-proofs" - "$recursion" trace --embed --example fibonacci --workdir "$work/two-proofs" - "$recursion" tamper --target claim --proof-index 1 --example fibonacci --workdir "$work/two-proofs" --output "$work/two-proofs-tampered" - "$recursion" trace --embed --expect reject --example fibonacci --workdir "$work/two-proofs-tampered" - "$recursion" tamper-opening --example fibonacci --workdir "$work/proofs" --output "$work/tampered" - "$recursion" trace --embed --expect reject --example fibonacci --workdir "$work/tampered" - "$recursion" generate --example muldiv --workdir "$work/muldiv" - "$recursion" trace --embed --example muldiv --workdir "$work/muldiv" - - name: Embedded muldiv with Dory - env: - CARGO_BUILD_JOBS: 1 - run: | - cargo nextest run --cargo-profile ci -p recursion --features field-inline - cargo build --locked --profile ci -p recursion --features field-inline - export JOLT_PATH="$(command -v jolt)" - target/ci/recursion check-field-kernels - target/ci/recursion generate --example muldiv --workdir "$RUNNER_TEMP/recursion-dory-muldiv" - target/ci/recursion check-input-framing --embed --example muldiv --workdir "$RUNNER_TEMP/recursion-dory-muldiv" - target/ci/recursion tamper --target claim --example muldiv --workdir "$RUNNER_TEMP/recursion-dory-muldiv" --output "$RUNNER_TEMP/recursion-dory-tampered" - target/ci/recursion trace --embed --expect reject --example muldiv --workdir "$RUNNER_TEMP/recursion-dory-tampered" From a30b937078ba80b7a5d93e6171b182c10407316e Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 01:25:34 +0000 Subject: [PATCH 122/131] Format the recursion guest feature list with taplo --- examples/recursion/guest/Cargo.toml | 6 +----- 1 file changed, 1 insertion(+), 5 deletions(-) diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 8305db7904..b108f63daf 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -14,11 +14,7 @@ terminal-contraction = [ "jolt-field/terminal-contraction", ] segment-setup = ["jolt-akita?/segment-setup"] -immutable-recipes = [ - "akita", - "field-inline-fp128", - "jolt_sdk/immutable-recipes", -] +immutable-recipes = ["akita", "field-inline-fp128", "jolt_sdk/immutable-recipes"] ntt-inline = ["akita", "jolt-akita/ntt-inline"] guest = [] word-memory = ["jolt_sdk/word-memory"] From b70c7b2523e10a9ab4187f2e965afd717027ec24 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 01:25:34 +0000 Subject: [PATCH 123/131] Import VerifierTranscript by name in the recursion recipe tables --- examples/recursion/src/immutable_recipe_tables.rs | 10 ++++------ 1 file changed, 4 insertions(+), 6 deletions(-) diff --git a/examples/recursion/src/immutable_recipe_tables.rs b/examples/recursion/src/immutable_recipe_tables.rs index bb3f88f95d..896967a254 100644 --- a/examples/recursion/src/immutable_recipe_tables.rs +++ b/examples/recursion/src/immutable_recipe_tables.rs @@ -16,6 +16,7 @@ use jolt_akita::{AkitaScheme, TrustedBytes}; use jolt_claims::immutable_recipes::record::Session; use jolt_field::Ring; use jolt_sdk::jolt_prover::akita::preprocessing::AkitaVc; +use jolt_sdk::VerifierTranscript; use sha2::{Digest, Sha256}; use std::fs; use std::path::{Path, PathBuf}; @@ -104,12 +105,9 @@ fn generate(stream: &[u8]) -> Result { .map_err(|error| format!("prepared payloads did not attach: {error:?}"))?; let session = Session::begin().map_err(|error| error.to_string())?; for (proof, public_io) in &records { - jolt_sdk::jolt_verifier::verify::< - AkitaField, - AkitaScheme, - AkitaVc, - jolt_sdk::VerifierTranscript<'_>, - >(&attached, public_io, proof, None) + jolt_sdk::jolt_verifier::verify::>( + &attached, public_io, proof, None, + ) .map_err(|error| format!("native verification rejected a proof: {error:?}"))?; } let mut capture = session.finish().map_err(|error| error.to_string())?; From c2524765214e6e38935448b15d3881450b29ddcf Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 01:25:34 +0000 Subject: [PATCH 124/131] Record feature-only recursion guest dependencies for cargo-machete --- examples/recursion/guest/Cargo.toml | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index b108f63daf..d51a1842a6 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -71,10 +71,9 @@ challenge-word-decode = ["akita", "jolt-akita/challenge-word-decode"] challenge-embed-fused = ["akita", "jolt-akita/challenge-embed-fused"] compressed-poly-horner = ["dep:jolt-poly", "jolt-poly/compressed-poly-horner"] [package.metadata.cargo-machete] -# The jolt-field edge selects the guest's field-inline arithmetic; generated -# embedded_bytecode.rs imports jolt-riscv types when the host prepares an -# embedded guest. -ignored = ["jolt-field", "jolt-riscv"] +# jolt-poly and jolt-transcript forward features to the verifier dependencies. +# Generated embedded_bytecode.rs imports jolt-riscv when the host embeds a guest. +ignored = ["jolt-poly", "jolt-riscv", "jolt-transcript"] [dependencies] jolt-poly = { path = "../../../crates/jolt-poly", default-features = false, optional = true } From cb61f9125868f8cecada5cd8d47dd87d662c29b1 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 01:25:34 +0000 Subject: [PATCH 125/131] Pin JoltOneHotK256Direct to chunk size 256 JoltOneHotK256Direct inherited the committed source class of Akita's default OneHot config instead of naming its chunk size, unlike the K=16 preset. The pinned Akita changes that default to 16, so the K=256 policy silently became chunk size 16 and the K=256 tests failed. Name AKITA_ONE_HOT_K256 explicitly and test that both presets keep 16 and 256. --- crates/jolt-akita/src/configs.rs | 34 ++++++++++++++++++++++++++++++-- 1 file changed, 32 insertions(+), 2 deletions(-) diff --git a/crates/jolt-akita/src/configs.rs b/crates/jolt-akita/src/configs.rs index 9512a5fde6..757632acb9 100644 --- a/crates/jolt-akita/src/configs.rs +++ b/crates/jolt-akita/src/configs.rs @@ -12,7 +12,7 @@ use akita_params::ChunkedWitnessCfg; use std::fmt::{Display, Formatter, Result as FormatResult}; -use crate::AKITA_ONE_HOT_K16; +use crate::{AKITA_ONE_HOT_K16, AKITA_ONE_HOT_K256}; macro_rules! delegate_preset { ( @@ -89,7 +89,9 @@ delegate_preset!( /// Direct-planning policy used to generate the below-cutover K=256 rows. JoltOneHotK256Direct, OneHot, - ::committed_source_class(), + CommittedSourceClass::UnitOneHot { + source_chunk_size: AKITA_ONE_HOT_K256, + }, "jolt-fp128-onehot-k256-direct-planner" ); @@ -188,4 +190,32 @@ mod tests { JoltOneHotK256::schedule_family_name() ); } + + fn unit_one_hot_chunk_size(class: CommittedSourceClass) -> Option { + match class { + CommittedSourceClass::UnitOneHot { source_chunk_size } => Some(source_chunk_size), + _ => None, + } + } + + #[test] + fn one_hot_presets_pin_their_chunk_size() { + // Independent of the base OneHot config's default chunk size. + assert_eq!( + unit_one_hot_chunk_size(JoltOneHotK16Direct::committed_source_class()), + Some(16) + ); + assert_eq!( + unit_one_hot_chunk_size(JoltOneHotK256Direct::committed_source_class()), + Some(256) + ); + assert_eq!( + unit_one_hot_chunk_size(JoltOneHotK16::committed_source_class()), + Some(16) + ); + assert_eq!( + unit_one_hot_chunk_size(JoltOneHotK256::committed_source_class()), + Some(256) + ); + } } From b6763545010ae458c340e17722b4eeddf52b6e75 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 01:25:45 +0000 Subject: [PATCH 126/131] Apply the workspace git patches to the generated SDK sample project The sample project created by jolt new is its own workspace, so the root [patch] table for a16z/jolt git sources did not reach it. Copy those entries into the generated manifest, as the SDK dependency already is. --- scripts/ci/use_checkout_sdk.py | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/scripts/ci/use_checkout_sdk.py b/scripts/ci/use_checkout_sdk.py index 1a02dc8998..01b8a76baa 100644 --- a/scripts/ci/use_checkout_sdk.py +++ b/scripts/ci/use_checkout_sdk.py @@ -2,6 +2,7 @@ """Use the checked-out SDK in a generated CI project, including on forks.""" import argparse import os +import tomllib from pathlib import Path parser = argparse.ArgumentParser(description=__doc__) @@ -16,3 +17,14 @@ raise SystemExit(f"{manifest}: expected exactly one generated SDK dependency") relative_sdk = Path(os.path.relpath(sdk, manifest.parent)).as_posix() manifest.write_text(content.replace(source, f'path = "{relative_sdk}"')) + +# The generated project is its own workspace, so dependency patches are not inherited. +checkout = sdk.parent +patch_source = "https://github.com/a16z/jolt" +patches = tomllib.loads((checkout / "Cargo.toml").read_text())["patch"][patch_source] +manifest = project / "Cargo.toml" +content = manifest.read_text() + f'\n[patch."{patch_source}"]\n' +for name, dependency in patches.items(): + relative = Path(os.path.relpath(checkout / dependency["path"], project)).as_posix() + content += f'{name} = {{ path = "{relative}" }}\n' +manifest.write_text(content) From d2a18a1b4022db7536e6215d2fad8e1ebcb2e8c0 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 03:28:36 +0000 Subject: [PATCH 127/131] Fix Clippy exhaustiveness in the one-hot preset test --- crates/jolt-akita/src/configs.rs | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/crates/jolt-akita/src/configs.rs b/crates/jolt-akita/src/configs.rs index 757632acb9..ac25973355 100644 --- a/crates/jolt-akita/src/configs.rs +++ b/crates/jolt-akita/src/configs.rs @@ -194,7 +194,7 @@ mod tests { fn unit_one_hot_chunk_size(class: CommittedSourceClass) -> Option { match class { CommittedSourceClass::UnitOneHot { source_chunk_size } => Some(source_chunk_size), - _ => None, + CommittedSourceClass::BalancedSignedDigit => None, } } From 414dddd18c224579e9c6d99363652b323cd2c94b Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 03:28:36 +0000 Subject: [PATCH 128/131] Fix Taplo formatting of recursion guest features --- examples/recursion/guest/Cargo.toml | 11 +++++++++-- 1 file changed, 9 insertions(+), 2 deletions(-) diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index d51a1842a6..1dfa4869d9 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -7,14 +7,21 @@ edition = "2021" # The recursion host enables both recovery features through its default list # and forwards them here with `akita`. Keep guest selection explicit so host # --no-default-features overrides retain the off and single-feature paths. -recursion-sparse-term-cache = ["akita", "jolt-akita/recursion-sparse-term-cache"] +recursion-sparse-term-cache = [ + "akita", + "jolt-akita/recursion-sparse-term-cache", +] recursion-wide-row-batch = ["akita", "jolt-akita/recursion-wide-row-batch"] terminal-contraction = [ "jolt-akita?/terminal-contraction", "jolt-field/terminal-contraction", ] segment-setup = ["jolt-akita?/segment-setup"] -immutable-recipes = ["akita", "field-inline-fp128", "jolt_sdk/immutable-recipes"] +immutable-recipes = [ + "akita", + "field-inline-fp128", + "jolt_sdk/immutable-recipes", +] ntt-inline = ["akita", "jolt-akita/ntt-inline"] guest = [] word-memory = ["jolt_sdk/word-memory"] From 53c6ae97d737b51c19f95f8307f361f68ecfa130 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 03:29:03 +0000 Subject: [PATCH 129/131] Fix SDK and Wasm CI dependency resolution with the checkout lockfile --- scripts/ci/use_checkout_sdk.py | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/scripts/ci/use_checkout_sdk.py b/scripts/ci/use_checkout_sdk.py index 01b8a76baa..7bac48393c 100644 --- a/scripts/ci/use_checkout_sdk.py +++ b/scripts/ci/use_checkout_sdk.py @@ -2,6 +2,7 @@ """Use the checked-out SDK in a generated CI project, including on forks.""" import argparse import os +import shutil import tomllib from pathlib import Path @@ -28,3 +29,8 @@ relative = Path(os.path.relpath(checkout / dependency["path"], project)).as_posix() content += f'{name} = {{ path = "{relative}" }}\n' manifest.write_text(content) + +# Cargo still queries an unlocked Git source even when a matching patch exists. +# Seed the generated workspace with the checkout's resolved patch identities +# before its first build, so Akita's Jolt dependencies stay on the local paths. +shutil.copyfile(checkout / "Cargo.lock", project / "Cargo.lock") From 39ac864307cd872b701a152293c57ab6a8b798b7 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 18:32:48 +0000 Subject: [PATCH 130/131] Adapt the recursion verifier to public Akita v8 --- Cargo.toml | 22 +- crates/jolt-akita/Cargo.toml | 55 +- .../schedules/jolt-fp128-dense-bounded.aks | 616 +- .../schedules/jolt-fp128-dense-full.aks | 334 +- .../schedules/jolt-fp128-onehot-k16-w8r2.aks | 504 +- .../schedules/jolt-fp128-onehot-k16.aks | 7150 ++++++++--------- .../schedules/jolt-fp128-onehot-k256-w8r2.aks | 114 +- .../schedules/jolt-fp128-onehot-k256.aks | 960 +-- crates/jolt-akita/src/adapters.rs | 20 +- .../src/bin/check_grouped_schedules.rs | 1 + crates/jolt-akita/src/lib.rs | 8 - crates/jolt-akita/src/native_batching.rs | 3 + crates/jolt-akita/src/prevalidated_catalog.rs | 229 - crates/jolt-akita/src/schedule_registry.rs | 4 + crates/jolt-akita/src/scheme.rs | 2 +- crates/jolt-akita/src/shape_guard.rs | 12 +- .../jolt-akita/tests/integration/schedules.rs | 5 + crates/jolt-dory/fuzz/Cargo.toml | 9 + crates/jolt-openings/fuzz/Cargo.toml | 9 + crates/jolt-verifier/fuzz/Cargo.toml | 9 + examples/recursion/Cargo.toml | 141 - examples/recursion/guest/Cargo.toml | 31 +- examples/recursion/src/carry_graph_source.rs | 105 - examples/recursion/src/main.rs | 185 +- .../recursion/src/prevalidated_catalog.rs | 99 - jolt-eval/fuzz/Cargo.toml | 9 + 26 files changed, 4922 insertions(+), 5714 deletions(-) delete mode 100644 crates/jolt-akita/src/prevalidated_catalog.rs delete mode 100644 examples/recursion/src/carry_graph_source.rs delete mode 100644 examples/recursion/src/prevalidated_catalog.rs diff --git a/Cargo.toml b/Cargo.toml index d0145300ce..80536634ba 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -208,6 +208,7 @@ ark-serialize = { git = "https://github.com/a16z/arkworks-algebra", branch = "de # field identity rather than separate path and Git copies. [patch."https://github.com/a16z/jolt"] jolt-field = { path = "crates/jolt-field" } +jolt-transcript = { path = "crates/jolt-transcript" } jolt-poly = { path = "crates/jolt-poly" } jolt-inlines-blake2 = { path = "jolt-inlines/blake2" } jolt-inlines-ntt = { path = "jolt-inlines/ntt" } @@ -307,16 +308,17 @@ dory = { package = "dory-pcs", version = "0.5.0", features = [ "disk-persistence", "zk", ] } -# Akita main with the recursion verifier features, pinned to the public fork. -akita-algebra = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } -akita-config = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } -akita-error = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } -akita-pcs = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } -akita-planner = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } -akita-schedules = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } -akita-challenges = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } -akita-types = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } -akita-params = { git = "https://github.com/Acentelles/akita-lz.git", rev = "f24c420313029efcc4baed5c3835e49f65d99acc", default-features = false } +# Public Akita v8, with checked setup verification. +akita-algebra = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-config = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-error = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-pcs = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-planner = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-schedules = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-challenges = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-types = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-params = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } +akita-verifier = { git = "https://github.com/LayerZero-Labs/akita.git", rev = "0ac494cad881b8f8e01c6bad16c1e171e12e402d", default-features = false } # Core Utilities clap = { version = "4.6.1", features = ["derive"] } diff --git a/crates/jolt-akita/Cargo.toml b/crates/jolt-akita/Cargo.toml index 1e2554edd9..9e62c23434 100644 --- a/crates/jolt-akita/Cargo.toml +++ b/crates/jolt-akita/Cargo.toml @@ -9,68 +9,22 @@ description = "Akita batch opening adapter for the Jolt zkVM" workspace = true [features] -recursion-sparse-term-cache = ["akita-pcs/recursion-sparse-term-cache"] -recursion-wide-row-batch = ["akita-pcs/recursion-wide-row-batch"] -terminal-contraction = [ - "akita-pcs/terminal-contraction", - "jolt-field/terminal-contraction", -] -segment-setup = ["akita-pcs/segment-setup"] -# Verifier features (default off): setup-scan errors built only on failure, -# prevalidated row digests copied without a zero fill, packed terminal z decode. -lazy-scan-errors = ["akita-pcs/lazy-scan-errors"] -digest-nozero = ["akita-schedules/digest-nozero"] -golomb-word = ["akita-types/golomb-word", "akita-params/golomb-word"] +terminal-contraction = ["jolt-field/terminal-contraction"] default = ["parallel"] -# Akita's rayon-backed kernels and backend thread pool. A single-core zkVM -# guest builds without it; Jolt's own prover kernels in this crate still link -# rayon, which a guest verifier never calls. parallel = ["akita-pcs/parallel"] -# Akita's transcript and NTT kernels over the jolt-inlines Blake2b and NTT -# inlines, for a RISC-V guest verifier. -blake2-inline = ["akita-pcs/blake2-inline"] +blake2-inline = ["jolt-transcript/blake2-inline"] ntt-inline = ["akita-pcs/ntt-inline"] -keccak-inline = ["akita-pcs/keccak-inline"] -# Enables field-inline schedule coverage alongside the prover's field profile. field-inline = [] -# L2 terminal quotient certificate (recursion lever, default off): the -# terminal A rows are checked at two points against a sent quotient, under -# Akita protocol identifier v7-l2tq1. -l2-terminal-quotient = ["akita-pcs/l2-terminal-quotient"] profiling = ["parallel"] -# L3 recursion experiment (default off): Akita evaluates the compression -# relation weights by factor (same field values; see akita-types). -l3-compression-weights = ["akita-types/l3-compression-weights"] -# Byte-preserving recursion experiments, default off. word-decode = ["jolt-field/word-decode"] ont-static-base = ["akita-challenges/ont-static-base"] tensor-no-carry = ["akita-algebra/tensor-no-carry"] tensor-eq-runs = ["akita-algebra/tensor-eq-runs"] setup-sop-structured = ["akita-pcs/setup-sop-structured"] -# Prevalidated catalog (default off): the recursion guest rebuilds its one-hot catalog view -# from a build-time prevalidated record when the view bytes are equal. -prevalidated-catalog = [ - "akita-config/prevalidated-catalog", - "akita-schedules/prevalidated-catalog", -] -# Verifier features (default off): direct flag-class index in the bytecode -# fold (Jolt), one scale ingress per bounded run in the Akita equality-window -# fill. bytecode-fold = ["jolt-claims/bytecode-fold"] -fill-ingress = ["akita-algebra/fill-ingress", "jolt-field/fill-ingress"] -# Root setup scan by lane with hoisted row scales (default off; implies -# terminal-contraction on the Akita side). -setup-lane-streams = ["akita-pcs/setup-lane-streams"] -# Compiled carry-state graphs for the eq-pair tensor recurrences (default off). -carry-graph = ["akita-algebra/carry-graph"] -mle-leaf-tiles = ["akita-pcs/mle-leaf-tiles"] -signed-byte-sum = ["akita-pcs/signed-byte-sum"] -setup-weight-tiles = ["akita-pcs/setup-weight-tiles"] -challenge-word-decode = ["akita-pcs/challenge-word-decode"] -# Validate and embed sparse challenges in one pass for subrings of at most -# 64 positions (default off). -challenge-embed-fused = ["akita-pcs/challenge-embed-fused"] +fill-ingress = ["jolt-field/fill-ingress"] + [dependencies] # Jolt keeps its own catalogs for Jolt-specific trace shapes; Akita's shipped # catalogs do not cover this adapter's complete production and test grids. @@ -85,6 +39,7 @@ akita-planner.workspace = true akita-schedules.workspace = true akita-types.workspace = true akita-params.workspace = true +akita-verifier.workspace = true # Canonical trace geometry without selecting the Akita PIOP feature. jolt-claims.workspace = true jolt-crypto = { path = "../jolt-crypto", default-features = false, features = [ diff --git a/crates/jolt-akita/schedules/jolt-fp128-dense-bounded.aks b/crates/jolt-akita/schedules/jolt-fp128-dense-bounded.aks index 2942dff3c2..a4ec0f37b0 100644 --- a/crates/jolt-akita/schedules/jolt-fp128-dense-bounded.aks +++ b/crates/jolt-akita/schedules/jolt-fp128-dense-bounded.aks @@ -10,67 +10,55 @@ 49 ], "version": 1, - "protocol_epoch": 5, + "protocol_epoch": 6, "policy_digest": [ - 79, - 95, - 78, - 147, - 241, - 224, - 15, + 6, 53, - 96, - 80, - 88, - 203, - 32, - 176, - 32, - 172, - 106, - 249, - 39, - 13, - 212, - 78, - 11, + 126, + 233, + 125, + 0, + 119, + 204, + 221, + 18, + 144, + 75, + 108, + 245, + 36, + 155, 160, - 212, - 99, - 49, - 22, + 122, + 25, + 189, 18, - 35, - 224, - 231 + 135, + 94, + 149, + 158, + 46, + 63, + 201, + 229, + 244, + 152, + 193 ], "family_name": "jolt-fp128-dense-bounded", "rows": [ { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":16,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":9,"num_digits":8},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":24117156}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":16384,"output_witness_len":2994688}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23396,"positions_per_block":512,"live_blocks":46},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,22,27,32,37,46]},"input_witness_len":2994688,"output_witness_len":2961920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46280,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2961920,"output_witness_len":1046272}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":399495484,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":8,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":5,"num_digits":14},"matrix":{"output_rank":1,"input_width":112,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":32768,"output_witness_len":3281344}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":8192,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":40960,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":17179869184,"output_witness_len":1736618752}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":25636,"positions_per_block":512,"live_blocks":51},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[6,12,18,24,30,36,42,51]},"input_witness_len":3281344,"output_witness_len":3365888}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52592,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3380,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3365888,"output_witness_len":554496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8664,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2672822745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":554496,"output_witness_len":264320}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4130,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1319860382,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":264320,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6783667,"positions_per_block":4096,"live_blocks":1657},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":71251,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[207,414,621,828,1035,1242,1449,1657]},"input_witness_len":1736618752,"output_witness_len":75633088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1181767,"positions_per_block":8192,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37410,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":75633088,"output_witness_len":4915008}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":76797,"positions_per_block":2048,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1896224296,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4915008,"output_witness_len":1071744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16746,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":376129379,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1071744,"output_witness_len":272512}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4258,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1407158745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272512,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -84,67 +72,66 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":8,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":5,"num_digits":14},"matrix":{"output_rank":1,"input_width":112,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":32768,"output_witness_len":2757056}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":1280,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":16777216,"output_witness_len":54683584}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":512,"live_blocks":43},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,20,25,30,35,43]},"input_witness_len":2757056,"output_witness_len":2776064}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43376,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9245,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2776064,"output_witness_len":996736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15574,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":378725613,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":996736,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":213608,"positions_per_block":1024,"live_blocks":209},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[26,52,78,104,130,156,182,209]},"input_witness_len":54683584,"output_witness_len":14815680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231495,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14815680,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":640,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":4194304,"output_witness_len":27420608}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":2560,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":67108864,"output_witness_len":111309440}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107112,"positions_per_block":512,"live_blocks":210},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[26,52,78,104,130,156,182,210]},"input_witness_len":27420608,"output_witness_len":10621376}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165959,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":10578,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10621376,"output_witness_len":1862976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29109,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1862976,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1739210,"positions_per_block":4096,"live_blocks":425},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16254,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18275,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[53,106,159,212,265,318,371,425]},"input_witness_len":111309440,"output_witness_len":19007232}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":296988,"positions_per_block":4096,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19007232,"output_witness_len":2479424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":38741,"positions_per_block":1024,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2479424,"output_witness_len":914176}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14284,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":344974573,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914176,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":8192,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":11,"num_digits":6},"matrix":{"output_rank":1,"input_width":49152,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":34359738368,"output_witness_len":3439500672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":8,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":40,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":3303360}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13435550,"positions_per_block":8192,"live_blocks":1641},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":70864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":70563,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[205,410,615,820,1025,1230,1435,1641]},"input_witness_len":3439500672,"output_witness_len":109187520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1706055,"positions_per_block":8192,"live_blocks":209},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53922,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":109187520,"output_witness_len":6147904}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":96061,"positions_per_block":2048,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2449222105,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6147904,"output_witness_len":1195584}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18681,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":434544640,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1195584,"output_witness_len":289152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":51615,"positions_per_block":512,"live_blocks":101},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4343,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[12,24,36,48,60,72,84,101]},"input_witness_len":3303360,"output_witness_len":3406912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53233,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3380,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3406912,"output_witness_len":554496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8664,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2683207680,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":554496,"output_witness_len":264320}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4130,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1319860382,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":264320,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":2048,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":10240,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":536870912,"output_witness_len":432184704}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":16,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":262144,"output_witness_len":4854208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1688222,"positions_per_block":2048,"live_blocks":825},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35475,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[103,206,309,412,515,618,721,825]},"input_witness_len":432184704,"output_witness_len":37884352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":591943,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37884352,"output_witness_len":3528000}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55125,"positions_per_block":2048,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1256252653,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3528000,"output_witness_len":920384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14381,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":300514068,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":920384,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18962,"positions_per_block":256,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[9,18,27,36,45,54,63,75]},"input_witness_len":4854208,"output_witness_len":4460992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69703,"positions_per_block":2048,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4460992,"output_witness_len":1223104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":430650290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":320,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":4194304,"output_witness_len":24274880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":64,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":320,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":2097152,"output_witness_len":24274880}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":379295,"positions_per_block":2048,"live_blocks":186},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14147,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7998,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[23,46,69,92,115,138,161,186]},"input_witness_len":24274880,"output_witness_len":8739840}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":136560,"positions_per_block":4096,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8739840,"output_witness_len":1728128}, @@ -153,49 +140,35 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":1024,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":5120,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":536870912,"output_witness_len":365075840}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":1280,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":67108864,"output_witness_len":96626624}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1426078,"positions_per_block":2048,"live_blocks":697},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29971,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[87,174,261,348,435,522,609,697]},"input_witness_len":365075840,"output_witness_len":37884352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":591943,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37884352,"output_witness_len":3528000}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55125,"positions_per_block":2048,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1245867717,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3528000,"output_witness_len":920384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14381,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":299215951,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":920384,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1509791,"positions_per_block":4096,"live_blocks":369},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27993,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15867,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[46,92,138,184,230,276,322,369]},"input_witness_len":96626624,"output_witness_len":16866304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":263536,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16866304,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":8192,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":11,"num_digits":6},"matrix":{"output_rank":1,"input_width":49152,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":17179869184,"output_witness_len":3439500672}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13435550,"positions_per_block":8192,"live_blocks":1641},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":70864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":70563,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[205,410,615,820,1025,1230,1435,1641]},"input_witness_len":3439500672,"output_witness_len":109187520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1706055,"positions_per_block":8192,"live_blocks":209},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53922,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":109187520,"output_witness_len":6147904}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":96061,"positions_per_block":2048,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2449222105,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6147904,"output_witness_len":1195584}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18681,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":434544640,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1195584,"output_witness_len":289152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":8192,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":40960,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":17179869184,"output_witness_len":1736618752}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":1024,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":5120,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":12348030884}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":268435456,"output_witness_len":365081344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6783667,"positions_per_block":4096,"live_blocks":1657},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":71251,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[207,414,621,828,1035,1242,1449,1657]},"input_witness_len":1736618752,"output_witness_len":75633088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1181767,"positions_per_block":8192,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37410,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":75633088,"output_witness_len":4915008}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":76797,"positions_per_block":2048,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1896224296,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4915008,"output_witness_len":1071744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16746,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":376129379,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1071744,"output_witness_len":272512}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4258,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1407158745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272512,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1426099,"positions_per_block":2048,"live_blocks":697},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29971,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[87,174,261,348,435,522,609,697]},"input_witness_len":365081344,"output_witness_len":37884352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":591943,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37884352,"output_witness_len":3528000}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55125,"positions_per_block":2048,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1245867717,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3528000,"output_witness_len":920384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14381,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":299215951,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":920384,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -208,35 +181,7 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":2560,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":134217728,"output_witness_len":195195520}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3049930,"positions_per_block":4096,"live_blocks":745},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28294,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32035,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[93,186,279,372,465,558,651,745]},"input_witness_len":195195520,"output_witness_len":25298688}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":395292,"positions_per_block":4096,"live_blocks":97},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25026,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4171,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25298688,"output_witness_len":2941760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45965,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2941760,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":4096,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":20480,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":4294967296,"output_witness_len":1627566848}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6357683,"positions_per_block":4096,"live_blocks":1553},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":67080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":66779,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[194,388,582,776,970,1164,1358,1553]},"input_witness_len":1627566848,"output_witness_len":75633088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1181767,"positions_per_block":8192,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37410,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":75633088,"output_witness_len":4915008}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":76797,"positions_per_block":2048,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1896224296,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4915008,"output_witness_len":1071744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16746,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":376129379,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1071744,"output_witness_len":272512}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4258,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1407158745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272512,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -250,12 +195,12 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":4096,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":20480,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":4294967296,"output_witness_len":864198016}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":4096,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":20480,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":2147483648,"output_witness_len":864198016}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3375774,"positions_per_block":4096,"live_blocks":825},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35475,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[103,206,309,412,515,618,721,825]},"input_witness_len":864198016,"output_witness_len":54661568}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":854087,"positions_per_block":8192,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27090,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54661568,"output_witness_len":4144448}, @@ -264,163 +209,177 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":16,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":262144,"output_witness_len":4592064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":640,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":4194304,"output_witness_len":27420608}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":71751,"positions_per_block":512,"live_blocks":141},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6063,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,141]},"input_witness_len":4592064,"output_witness_len":4455488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69617,"positions_per_block":2048,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4455488,"output_witness_len":1203840}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18810,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":422861588,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1203840,"output_witness_len":289152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107112,"positions_per_block":512,"live_blocks":210},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[26,52,78,104,130,156,182,210]},"input_witness_len":27420608,"output_witness_len":10621376}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165959,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":10578,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10621376,"output_witness_len":1862976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29109,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1862976,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":10240,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":2147483648,"output_witness_len":813866368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":32,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":352,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":1048576,"output_witness_len":9048512}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3179166,"positions_per_block":4096,"live_blocks":777},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33411,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[97,194,291,388,485,582,679,777]},"input_witness_len":813866368,"output_witness_len":54661568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":854087,"positions_per_block":8192,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27090,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54661568,"output_witness_len":4144448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64757,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1548328960,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4144448,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":141383,"positions_per_block":1024,"live_blocks":139},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5977,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,139]},"input_witness_len":9048512,"output_witness_len":5506816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86044,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5506816,"output_witness_len":1377216}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21519,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1377216,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":8,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":88,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":131072,"output_witness_len":2757056}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":512,"live_blocks":43},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,20,25,30,35,43]},"input_witness_len":2757056,"output_witness_len":2776064}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43376,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9245,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2776064,"output_witness_len":996736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15574,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":379374671,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":996736,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":2560,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":268435456,"output_witness_len":195195520}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":8,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":5,"num_digits":14},"matrix":{"output_rank":1,"input_width":112,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":32768,"output_witness_len":3281344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3049930,"positions_per_block":4096,"live_blocks":745},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28294,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32035,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[93,186,279,372,465,558,651,745]},"input_witness_len":195195520,"output_witness_len":25298688}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":395292,"positions_per_block":4096,"live_blocks":97},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25026,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4171,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25298688,"output_witness_len":2941760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45965,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2941760,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":25636,"positions_per_block":512,"live_blocks":51},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[6,12,18,24,30,36,42,51]},"input_witness_len":3281344,"output_witness_len":3365888}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52592,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3380,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3365888,"output_witness_len":554496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8664,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2672822745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":554496,"output_witness_len":264320}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4130,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1319860382,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":264320,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":128,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":640,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":16777216,"output_witness_len":48392128}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":2560,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":134217728,"output_witness_len":111309440}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":756127,"positions_per_block":2048,"live_blocks":370},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14147,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15910,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[46,92,138,184,230,276,322,370]},"input_witness_len":48392128,"output_witness_len":12977920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":202780,"positions_per_block":4096,"live_blocks":50},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2150,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12977920,"output_witness_len":2036352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31818,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2036352,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1739210,"positions_per_block":4096,"live_blocks":425},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16254,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18275,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[53,106,159,212,265,318,371,425]},"input_witness_len":111309440,"output_witness_len":19007232}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":296988,"positions_per_block":4096,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19007232,"output_witness_len":2479424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":38741,"positions_per_block":1024,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2479424,"output_witness_len":914176}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14284,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":344974573,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914176,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":64,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":320,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":2097152,"output_witness_len":24274880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":10240,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":1073741824,"output_witness_len":432184704}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":379295,"positions_per_block":2048,"live_blocks":186},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14147,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7998,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[23,46,69,92,115,138,161,186]},"input_witness_len":24274880,"output_witness_len":8739840}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":136560,"positions_per_block":4096,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8739840,"output_witness_len":1728128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27002,"positions_per_block":1024,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5805,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1728128,"output_witness_len":732544}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11446,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":732544,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1688222,"positions_per_block":2048,"live_blocks":825},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35475,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[103,206,309,412,515,618,721,825]},"input_witness_len":432184704,"output_witness_len":37884352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":591943,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37884352,"output_witness_len":3528000}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55125,"positions_per_block":2048,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1256252653,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3528000,"output_witness_len":920384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14381,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":300514068,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":920384,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":2048,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":10240,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":1073741824,"output_witness_len":813866368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":10240,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":2147483648,"output_witness_len":813871872}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3179166,"positions_per_block":4096,"live_blocks":777},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33411,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[97,194,291,388,485,582,679,777]},"input_witness_len":813866368,"output_witness_len":54661568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3179187,"positions_per_block":4096,"live_blocks":777},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33411,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[97,194,291,388,485,582,679,777]},"input_witness_len":813871872,"output_witness_len":54661568}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":854087,"positions_per_block":8192,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27090,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54661568,"output_witness_len":4144448}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64757,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1548328960,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4144448,"output_witness_len":989184}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":8,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":88,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":131072,"output_witness_len":2757056}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":2560,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":268435456,"output_witness_len":195195520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":512,"live_blocks":43},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,20,25,30,35,43]},"input_witness_len":2757056,"output_witness_len":2776064}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43376,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9245,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2776064,"output_witness_len":996736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15574,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":379374671,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":996736,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3049930,"positions_per_block":4096,"live_blocks":745},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28294,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32035,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[93,186,279,372,465,558,651,745]},"input_witness_len":195195520,"output_witness_len":25298688}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":395292,"positions_per_block":4096,"live_blocks":97},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25026,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4171,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25298688,"output_witness_len":2941760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45965,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2941760,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":16,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":131072,"output_witness_len":4592064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":32,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":352,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":524288,"output_witness_len":9048512}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":71751,"positions_per_block":512,"live_blocks":141},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6063,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,141]},"input_witness_len":4592064,"output_witness_len":4455488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69617,"positions_per_block":2048,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4455488,"output_witness_len":1203840}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18810,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":422861588,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1203840,"output_witness_len":289152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":141383,"positions_per_block":1024,"live_blocks":139},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5977,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,139]},"input_witness_len":9048512,"output_witness_len":5506816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86044,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5506816,"output_witness_len":1377216}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21519,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1377216,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":8192,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":11,"num_digits":6},"matrix":{"output_rank":1,"input_width":49152,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":34359738368,"output_witness_len":3640827264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":16,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":524288,"output_witness_len":5378496}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14221982,"positions_per_block":8192,"live_blocks":1737},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":74992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":74691,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[217,434,651,868,1085,1302,1519,1737]},"input_witness_len":3640827264,"output_witness_len":113381824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1771591,"positions_per_block":8192,"live_blocks":217},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55986,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9331,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":113381824,"output_witness_len":6302016}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":98469,"positions_per_block":2048,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2501146782,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6302016,"output_witness_len":1223104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":447525810,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21010,"positions_per_block":256,"live_blocks":83},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3569,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[10,20,30,40,50,60,70,83]},"input_witness_len":5378496,"output_witness_len":4460992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69703,"positions_per_block":2048,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4460992,"output_witness_len":1223104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":431948407,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":1280,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":16777216,"output_witness_len":54683584}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":4096,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":20480,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":4294967296,"output_witness_len":1627566848}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":213608,"positions_per_block":1024,"live_blocks":209},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[26,52,78,104,130,156,182,209]},"input_witness_len":54683584,"output_witness_len":14815680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231495,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14815680,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6357683,"positions_per_block":4096,"live_blocks":1553},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":67080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":66779,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[194,388,582,776,970,1164,1358,1553]},"input_witness_len":1627566848,"output_witness_len":75633088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1181767,"positions_per_block":8192,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37410,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":75633088,"output_witness_len":4915008}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":76797,"positions_per_block":2048,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1896224296,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4915008,"output_witness_len":1071744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16746,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":376129379,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1071744,"output_witness_len":272512}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4258,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1407158745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272512,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":10240,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":1073741824,"output_witness_len":432184704}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":640,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":8388608,"output_witness_len":48392128}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1688222,"positions_per_block":2048,"live_blocks":825},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35475,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[103,206,309,412,515,618,721,825]},"input_witness_len":432184704,"output_witness_len":37884352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":591943,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37884352,"output_witness_len":3528000}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55125,"positions_per_block":2048,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1256252653,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3528000,"output_witness_len":920384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14381,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":300514068,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":920384,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":756127,"positions_per_block":2048,"live_blocks":370},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14147,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15910,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[46,92,138,184,230,276,322,370]},"input_witness_len":48392128,"output_witness_len":12977920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":202780,"positions_per_block":4096,"live_blocks":50},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2150,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12977920,"output_witness_len":2036352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31818,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2036352,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":1280,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":67108864,"output_witness_len":96626624}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":1280,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":33554432,"output_witness_len":96626624}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1509791,"positions_per_block":4096,"live_blocks":369},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27993,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15867,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[46,92,138,184,230,276,322,369]},"input_witness_len":96626624,"output_witness_len":16866304}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":263536,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16866304,"output_witness_len":2325312}, @@ -429,117 +388,131 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":16,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":262144,"output_witness_len":5378496}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":16,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":131072,"output_witness_len":4854208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21010,"positions_per_block":256,"live_blocks":83},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3569,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[10,20,30,40,50,60,70,83]},"input_witness_len":5378496,"output_witness_len":4460992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18962,"positions_per_block":256,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[9,18,27,36,45,54,63,75]},"input_witness_len":4854208,"output_witness_len":4460992}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69703,"positions_per_block":2048,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4460992,"output_witness_len":1223104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":431948407,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":430650290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":16,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":524288,"output_witness_len":5378496}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":2048,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":10240,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":536870912,"output_witness_len":432184704}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21010,"positions_per_block":256,"live_blocks":83},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3569,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[10,20,30,40,50,60,70,83]},"input_witness_len":5378496,"output_witness_len":4460992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69703,"positions_per_block":2048,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4460992,"output_witness_len":1223104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":431948407,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1688222,"positions_per_block":2048,"live_blocks":825},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35475,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[103,206,309,412,515,618,721,825]},"input_witness_len":432184704,"output_witness_len":37884352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":591943,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37884352,"output_witness_len":3528000}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55125,"positions_per_block":2048,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1256252653,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3528000,"output_witness_len":920384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14381,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":300514068,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":920384,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":32,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":352,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":524288,"output_witness_len":9048512}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":128,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":640,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":16777216,"output_witness_len":48392128}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":141383,"positions_per_block":1024,"live_blocks":139},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5977,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,139]},"input_witness_len":9048512,"output_witness_len":5506816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86044,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5506816,"output_witness_len":1377216}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21519,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1377216,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":756127,"positions_per_block":2048,"live_blocks":370},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14147,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15910,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[46,92,138,184,230,276,322,370]},"input_witness_len":48392128,"output_witness_len":12977920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":202780,"positions_per_block":4096,"live_blocks":50},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2150,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12977920,"output_witness_len":2036352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31818,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2036352,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":1024,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":5120,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":268435456,"output_witness_len":365075840}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":1024,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":5120,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":12348030884}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":536870912,"output_witness_len":365081344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1426078,"positions_per_block":2048,"live_blocks":697},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29971,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[87,174,261,348,435,522,609,697]},"input_witness_len":365075840,"output_witness_len":37884352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1426099,"positions_per_block":2048,"live_blocks":697},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29971,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[87,174,261,348,435,522,609,697]},"input_witness_len":365081344,"output_witness_len":37884352}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":591943,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37884352,"output_witness_len":3528000}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55125,"positions_per_block":2048,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1245867717,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3528000,"output_witness_len":920384}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14381,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":299215951,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":920384,"output_witness_len":280448}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":2560,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":67108864,"output_witness_len":111309440}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":8192,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":11,"num_digits":6},"matrix":{"output_rank":1,"input_width":49152,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":17179869184,"output_witness_len":3439500672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1739210,"positions_per_block":4096,"live_blocks":425},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16254,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18275,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[53,106,159,212,265,318,371,425]},"input_witness_len":111309440,"output_witness_len":19007232}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":296988,"positions_per_block":4096,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19007232,"output_witness_len":2479424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":38741,"positions_per_block":1024,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2479424,"output_witness_len":914176}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14284,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":344974573,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914176,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13435550,"positions_per_block":8192,"live_blocks":1641},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":70864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":70563,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[205,410,615,820,1025,1230,1435,1641]},"input_witness_len":3439500672,"output_witness_len":109187520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1706055,"positions_per_block":8192,"live_blocks":209},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53922,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":109187520,"output_witness_len":6147904}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":96061,"positions_per_block":2048,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2449222105,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6147904,"output_witness_len":1195584}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18681,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":434544640,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1195584,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":4096,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":20480,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":2147483648,"output_witness_len":864198016}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":8192,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":11,"num_digits":6},"matrix":{"output_rank":1,"input_width":49152,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":34359738368,"output_witness_len":3439500672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3375774,"positions_per_block":4096,"live_blocks":825},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35475,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[103,206,309,412,515,618,721,825]},"input_witness_len":864198016,"output_witness_len":54661568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":854087,"positions_per_block":8192,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27090,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54661568,"output_witness_len":4144448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64757,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1548328960,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4144448,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13435550,"positions_per_block":8192,"live_blocks":1641},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":70864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":70563,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[205,410,615,820,1025,1230,1435,1641]},"input_witness_len":3439500672,"output_witness_len":109187520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1706055,"positions_per_block":8192,"live_blocks":209},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53922,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":109187520,"output_witness_len":6147904}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":96061,"positions_per_block":2048,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2449222105,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6147904,"output_witness_len":1195584}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18681,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":434544640,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1195584,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":1280,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":33554432,"output_witness_len":54683584}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":8192,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":11,"num_digits":6},"matrix":{"output_rank":1,"input_width":49152,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":34359738368,"output_witness_len":3640827264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":213608,"positions_per_block":1024,"live_blocks":209},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[26,52,78,104,130,156,182,209]},"input_witness_len":54683584,"output_witness_len":14815680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231495,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14815680,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14221982,"positions_per_block":8192,"live_blocks":1737},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":74992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":74691,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[217,434,651,868,1085,1302,1519,1737]},"input_witness_len":3640827264,"output_witness_len":113381824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1771591,"positions_per_block":8192,"live_blocks":217},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55986,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9331,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":113381824,"output_witness_len":6302016}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":98469,"positions_per_block":2048,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2501146782,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6302016,"output_witness_len":1223104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":447525810,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":4096,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":20480,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":8589934592,"output_witness_len":1627566848}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":16,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":262144,"output_witness_len":5378496}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6357683,"positions_per_block":4096,"live_blocks":1553},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":67080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":66779,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[194,388,582,776,970,1164,1358,1553]},"input_witness_len":1627566848,"output_witness_len":75633088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1181767,"positions_per_block":8192,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37410,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":75633088,"output_witness_len":4915008}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":76797,"positions_per_block":2048,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1896224296,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4915008,"output_witness_len":1071744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16746,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":376129379,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1071744,"output_witness_len":272512}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4258,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1407158745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272512,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21010,"positions_per_block":256,"live_blocks":83},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3569,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[10,20,30,40,50,60,70,83]},"input_witness_len":5378496,"output_witness_len":4460992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69703,"positions_per_block":2048,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4460992,"output_witness_len":1223104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":431948407,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":320,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":4194304,"output_witness_len":24274880}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":379295,"positions_per_block":2048,"live_blocks":186},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14147,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7998,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[23,46,69,92,115,138,161,186]},"input_witness_len":24274880,"output_witness_len":8739840}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":136560,"positions_per_block":4096,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8739840,"output_witness_len":1728128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27002,"positions_per_block":1024,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5805,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1728128,"output_witness_len":732544}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11446,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":732544,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -553,76 +526,76 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4258,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1407158745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272512,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":32,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":11},"matrix":{"output_rank":1,"input_width":352,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":1048576,"output_witness_len":9048512}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":2560,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":134217728,"output_witness_len":195195520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":141383,"positions_per_block":1024,"live_blocks":139},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5977,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,139]},"input_witness_len":9048512,"output_witness_len":5506816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86044,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5506816,"output_witness_len":1377216}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21519,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1377216,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3049930,"positions_per_block":4096,"live_blocks":745},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28294,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32035,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[93,186,279,372,465,558,651,745]},"input_witness_len":195195520,"output_witness_len":25298688}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":395292,"positions_per_block":4096,"live_blocks":97},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25026,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4171,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25298688,"output_witness_len":2941760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45965,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2941760,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":640,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":8388608,"output_witness_len":48392128}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":1280,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":33554432,"output_witness_len":54683584}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":756127,"positions_per_block":2048,"live_blocks":370},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14147,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15910,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[46,92,138,184,230,276,322,370]},"input_witness_len":48392128,"output_witness_len":12977920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":202780,"positions_per_block":4096,"live_blocks":50},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2150,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12977920,"output_witness_len":2036352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31818,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2036352,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":213608,"positions_per_block":1024,"live_blocks":209},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[26,52,78,104,130,156,182,209]},"input_witness_len":54683584,"output_witness_len":14815680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231495,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14815680,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":2560,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":134217728,"output_witness_len":111309440}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":32,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":5,"num_digits":14},"matrix":{"output_rank":1,"input_width":448,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":1048576,"output_witness_len":12718528}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1739210,"positions_per_block":4096,"live_blocks":425},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16254,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18275,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[53,106,159,212,265,318,371,425]},"input_witness_len":111309440,"output_witness_len":19007232}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":296988,"positions_per_block":4096,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18834,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19007232,"output_witness_len":2479424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":38741,"positions_per_block":1024,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2479424,"output_witness_len":914176}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14284,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":344974573,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914176,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49682,"positions_per_block":512,"live_blocks":98},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[12,24,36,48,60,72,84,98]},"input_witness_len":12718528,"output_witness_len":7475648}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":116807,"positions_per_block":2048,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14964,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7475648,"output_witness_len":1666176}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":26034,"positions_per_block":1024,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5590,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1666176,"output_witness_len":716032}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11188,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":716032,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":1280,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":33554432,"output_witness_len":96626624}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":16,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":9,"num_digits":8},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":24117156}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":16384,"output_witness_len":2994688}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1509791,"positions_per_block":4096,"live_blocks":369},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27993,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15867,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[46,92,138,184,230,276,322,369]},"input_witness_len":96626624,"output_witness_len":16866304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":263536,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16866304,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23396,"positions_per_block":512,"live_blocks":46},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,22,27,32,37,46]},"input_witness_len":2994688,"output_witness_len":2961920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46280,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2961920,"output_witness_len":1046272}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":399495484,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":8,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":40,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":3303360}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":4096,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":2,"input_width":20480,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":4294967296,"output_witness_len":864198016}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":51615,"positions_per_block":512,"live_blocks":101},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4343,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[12,24,36,48,60,72,84,101]},"input_witness_len":3303360,"output_witness_len":3406912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53233,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3380,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3406912,"output_witness_len":554496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8664,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2683207680,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":554496,"output_witness_len":264320}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4130,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1319860382,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":264320,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3375774,"positions_per_block":4096,"live_blocks":825},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35475,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[103,206,309,412,515,618,721,825]},"input_witness_len":864198016,"output_witness_len":54661568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":854087,"positions_per_block":8192,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27090,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54661568,"output_witness_len":4144448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64757,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1548328960,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4144448,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -635,21 +608,48 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":32,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":5,"num_digits":14},"matrix":{"output_rank":1,"input_width":448,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":1048576,"output_witness_len":12718528}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":4096,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":20480,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":8589934592,"output_witness_len":1627566848}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49682,"positions_per_block":512,"live_blocks":98},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[12,24,36,48,60,72,84,98]},"input_witness_len":12718528,"output_witness_len":7475648}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":116807,"positions_per_block":2048,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14964,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7475648,"output_witness_len":1666176}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":26034,"positions_per_block":1024,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5590,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1666176,"output_witness_len":716032}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11188,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":716032,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6357683,"positions_per_block":4096,"live_blocks":1553},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":67080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":66779,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[194,388,582,776,970,1164,1358,1553]},"input_witness_len":1627566848,"output_witness_len":75633088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1181767,"positions_per_block":8192,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37410,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":75633088,"output_witness_len":4915008}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":76797,"positions_per_block":2048,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1896224296,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4915008,"output_witness_len":1071744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16746,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":376129379,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1071744,"output_witness_len":272512}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4258,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1407158745,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272512,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":2048,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":14,"num_digits":5},"matrix":{"output_rank":1,"input_width":10240,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":1073741824,"output_witness_len":813871872}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3179187,"positions_per_block":4096,"live_blocks":777},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33411,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[97,194,291,388,485,582,679,777]},"input_witness_len":813871872,"output_witness_len":54661568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":854087,"positions_per_block":8192,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27090,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54661568,"output_witness_len":4144448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64757,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1548328960,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4144448,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":8,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":5,"num_digits":14},"matrix":{"output_rank":1,"input_width":112,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":32768,"output_witness_len":2757056}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":512,"live_blocks":43},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,20,25,30,35,43]},"input_witness_len":2757056,"output_witness_len":2776064}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43376,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9245,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2776064,"output_witness_len":996736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15574,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":378725613,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":996736,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } } ] diff --git a/crates/jolt-akita/schedules/jolt-fp128-dense-full.aks b/crates/jolt-akita/schedules/jolt-fp128-dense-full.aks index 795326126b..ab76e3f094 100644 --- a/crates/jolt-akita/schedules/jolt-fp128-dense-full.aks +++ b/crates/jolt-akita/schedules/jolt-fp128-dense-full.aks @@ -10,40 +10,40 @@ 49 ], "version": 1, - "protocol_epoch": 5, + "protocol_epoch": 6, "policy_digest": [ - 12, - 23, - 120, - 61, - 241, - 217, - 4, + 140, + 221, + 214, + 172, + 128, + 14, + 146, + 215, 51, - 103, - 48, - 142, - 91, + 207, + 54, + 224, + 22, + 207, + 220, + 186, 213, - 2, - 12, - 255, - 98, - 3, - 174, - 117, - 111, - 199, - 95, - 208, - 161, - 157, - 109, - 9, - 12, - 214, - 52, - 172 + 93, + 115, + 249, + 186, + 14, + 37, + 202, + 142, + 234, + 221, + 51, + 76, + 155, + 253, + 22 ], "family_name": "jolt-fp128-dense-full", "rows": [ @@ -57,62 +57,62 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":128,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":16777216,"output_witness_len":81946560}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":8,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":131072,"output_witness_len":4854208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":320104,"positions_per_block":1024,"live_blocks":313},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13459,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[39,78,117,156,195,234,273,313]},"input_witness_len":81946560,"output_witness_len":16912832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":264263,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16912832,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18962,"positions_per_block":256,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[9,18,27,36,45,54,63,75]},"input_witness_len":4854208,"output_witness_len":4460992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69703,"positions_per_block":2048,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4460992,"output_witness_len":1223104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":430650290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":268435456,"output_witness_len":327313344}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":4096,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":1,"input_width":45056,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":17179869184,"output_witness_len":3171065216}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1278568,"positions_per_block":2048,"live_blocks":625},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26875,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[78,156,234,312,390,468,546,625]},"input_witness_len":327313344,"output_witness_len":33690048}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":526407,"positions_per_block":8192,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33690048,"output_witness_len":3373888}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52717,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1173822228,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3373888,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":292725367,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6193487,"positions_per_block":4096,"live_blocks":1513},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":65360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":65059,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[189,378,567,756,945,1134,1323,1513]},"input_witness_len":3171065216,"output_witness_len":104993216}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1640519,"positions_per_block":8192,"live_blocks":201},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":51858,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8643,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":104993216,"output_witness_len":5993792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":93653,"positions_per_block":2048,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2379123791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5993792,"output_witness_len":1181824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18466,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":426755939,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1181824,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":4,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":32768,"output_witness_len":2779072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":4096,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":1,"input_width":45056,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":34359738368,"output_witness_len":3372391808}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21712,"positions_per_block":512,"live_blocks":43},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,20,25,30,35,43]},"input_witness_len":2779072,"output_witness_len":2776064}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43376,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9245,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2776064,"output_witness_len":996736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15574,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":379374671,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":996736,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13173406,"positions_per_block":8192,"live_blocks":1609},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":69488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":69187,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[201,402,603,804,1005,1206,1407,1609]},"input_witness_len":3372391808,"output_witness_len":109187520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1706055,"positions_per_block":8192,"live_blocks":209},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53922,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":109187520,"output_witness_len":6147904}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":96061,"positions_per_block":2048,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2449222105,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6147904,"output_witness_len":1195584}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18681,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":434544640,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1195584,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":256,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":134217728,"output_witness_len":176318400}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":128,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":33554432,"output_witness_len":88238016}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":344372,"positions_per_block":1024,"live_blocks":337},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14491,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[42,84,126,168,210,252,294,337]},"input_witness_len":176318400,"output_witness_len":25563584}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":399431,"positions_per_block":4096,"live_blocks":98},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25284,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25563584,"output_witness_len":2961024}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46266,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2961024,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":344680,"positions_per_block":1024,"live_blocks":337},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14491,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[42,84,126,168,210,252,294,337]},"input_witness_len":88238016,"output_witness_len":17174976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268359,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17174976,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -126,89 +126,91 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":8,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":65536,"output_witness_len":4876224}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":4194304,"output_witness_len":42100672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19048,"positions_per_block":256,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[9,18,27,36,45,54,63,75]},"input_witness_len":4876224,"output_witness_len":4460992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69703,"positions_per_block":2048,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4460992,"output_witness_len":1223104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":430650290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82228,"positions_per_block":512,"live_blocks":161},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6923,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[20,40,60,80,100,120,140,161]},"input_witness_len":42100672,"output_witness_len":12718528}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":198727,"positions_per_block":4096,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12642,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12718528,"output_witness_len":2017088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31517,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2017088,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":2147483648,"output_witness_len":1266856704}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":268435456,"output_witness_len":327313344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19794636,"positions_per_block":16384,"live_blocks":1209},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":45752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":51987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[151,302,453,604,755,906,1057,1209]},"input_witness_len":1266856704,"output_witness_len":63047424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":985116,"positions_per_block":8192,"live_blocks":121},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31218,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5203,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":63047424,"output_witness_len":4452672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69573,"positions_per_block":2048,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1691121822,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4452672,"output_witness_len":1016704}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15886,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":347570807,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1016704,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1278568,"positions_per_block":2048,"live_blocks":625},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26875,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[78,156,234,312,390,468,546,625]},"input_witness_len":327313344,"output_witness_len":33690048}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":526407,"positions_per_block":8192,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33690048,"output_witness_len":3373888}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52717,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1173822228,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3373888,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":292725367,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":67108864,"output_witness_len":163735488}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":2147483648,"output_witness_len":1266856704}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":319796,"positions_per_block":1024,"live_blocks":313},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13459,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[39,78,117,156,195,234,273,313]},"input_witness_len":163735488,"output_witness_len":25301440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":395335,"positions_per_block":4096,"live_blocks":97},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25026,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4171,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25301440,"output_witness_len":2941760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45965,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2941760,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19794636,"positions_per_block":16384,"live_blocks":1209},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":45752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":51987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[151,302,453,604,755,906,1057,1209]},"input_witness_len":1266856704,"output_witness_len":63047424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":985116,"positions_per_block":8192,"live_blocks":121},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31218,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5203,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":63047424,"output_witness_len":4452672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69573,"positions_per_block":2048,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1691121822,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4452672,"output_witness_len":1016704}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15886,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":347570807,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1016704,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":8,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":176,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":131072,"output_witness_len":4592064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":16,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":524288,"output_witness_len":9048512}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":71751,"positions_per_block":512,"live_blocks":141},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6063,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,141]},"input_witness_len":4592064,"output_witness_len":4455488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69617,"positions_per_block":2048,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4455488,"output_witness_len":1203840}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18810,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":422861588,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1203840,"output_witness_len":289152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":141383,"positions_per_block":1024,"live_blocks":139},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5977,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,139]},"input_witness_len":9048512,"output_witness_len":5506816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86044,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5506816,"output_witness_len":1377216}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21519,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1377216,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":1024,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":1073741824,"output_witness_len":658677120}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":32,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":1048576,"output_witness_len":19034752}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10291830,"positions_per_block":8192,"live_blocks":1257},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":47558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":54051,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[157,314,471,628,785,942,1099,1257]},"input_witness_len":658677120,"output_witness_len":46270208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":722972,"positions_per_block":8192,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46270208,"output_witness_len":3836224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":59941,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1404237982,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3836224,"output_witness_len":961664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15026,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":318038647,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":961664,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37178,"positions_per_block":512,"live_blocks":73},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6278,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[9,18,27,36,45,54,63,73]},"input_witness_len":19034752,"output_witness_len":8789120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":137330,"positions_per_block":4096,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8789120,"output_witness_len":1728128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27002,"positions_per_block":1024,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5805,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1728128,"output_witness_len":732544}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11446,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":732544,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":32,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":1048576,"output_witness_len":19034752}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":32,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":15,"num_digits":9},"matrix":{"output_rank":1,"input_width":288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":2097152,"output_witness_len":22177728}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":74355,"positions_per_block":512,"live_blocks":146},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6278,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[18,36,54,72,90,108,126,146]},"input_witness_len":19034752,"output_witness_len":8524224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":133191,"positions_per_block":4096,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8514,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8524224,"output_witness_len":1708864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":26701,"positions_per_block":1024,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5805,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1708864,"output_witness_len":732544}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86632,"positions_per_block":512,"live_blocks":170},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[21,42,63,84,105,126,147,170]},"input_witness_len":22177728,"output_witness_len":8786368}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":137287,"positions_per_block":4096,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8786368,"output_witness_len":1728128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27002,"positions_per_block":1024,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5805,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1728128,"output_witness_len":732544}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11446,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":732544,"output_witness_len":275456}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -222,91 +224,104 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":4096,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":1,"input_width":45056,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":34359738368,"output_witness_len":3372391808}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":1024,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":1073741824,"output_witness_len":658677120}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13173406,"positions_per_block":8192,"live_blocks":1609},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":69488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":69187,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[201,402,603,804,1005,1206,1407,1609]},"input_witness_len":3372391808,"output_witness_len":109187520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1706055,"positions_per_block":8192,"live_blocks":209},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53922,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":109187520,"output_witness_len":6147904}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":96061,"positions_per_block":2048,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2449222105,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6147904,"output_witness_len":1195584}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18681,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":434544640,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1195584,"output_witness_len":289152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10291830,"positions_per_block":8192,"live_blocks":1257},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":47558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":54051,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[157,314,471,628,785,942,1099,1257]},"input_witness_len":658677120,"output_witness_len":46270208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":722972,"positions_per_block":8192,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46270208,"output_witness_len":3836224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":59941,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1404237982,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3836224,"output_witness_len":961664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15026,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":318038647,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":961664,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":4194304,"output_witness_len":42100672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":256,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":134217728,"output_witness_len":176318400}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82228,"positions_per_block":512,"live_blocks":161},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6923,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[20,40,60,80,100,120,140,161]},"input_witness_len":42100672,"output_witness_len":12718528}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":198727,"positions_per_block":4096,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12642,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12718528,"output_witness_len":2017088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31517,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2017088,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":344372,"positions_per_block":1024,"live_blocks":337},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14491,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[42,84,126,168,210,252,294,337]},"input_witness_len":176318400,"output_witness_len":25563584}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":399431,"positions_per_block":4096,"live_blocks":98},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25284,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25563584,"output_witness_len":2961024}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46266,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2961024,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":16,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":524288,"output_witness_len":9048512}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":128,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":16777216,"output_witness_len":81946560}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":141383,"positions_per_block":1024,"live_blocks":139},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5977,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[17,34,51,68,85,102,119,139]},"input_witness_len":9048512,"output_witness_len":5506816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86044,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5506816,"output_witness_len":1377216}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21519,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1377216,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":320104,"positions_per_block":1024,"live_blocks":313},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13459,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[39,78,117,156,195,234,273,313]},"input_witness_len":81946560,"output_witness_len":16912832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":264263,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16912832,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":32,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":15,"num_digits":9},"matrix":{"output_rank":1,"input_width":288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072},"input_witness_len":2097152,"output_witness_len":22177728}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":2048,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":4294967296,"output_witness_len":1325576960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86632,"positions_per_block":512,"live_blocks":170},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[21,42,63,84,105,126,147,170]},"input_witness_len":22177728,"output_witness_len":8786368}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":137287,"positions_per_block":4096,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8786368,"output_witness_len":1728128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27002,"positions_per_block":1024,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5805,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1728128,"output_witness_len":732544}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11446,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":732544,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":20712140,"positions_per_block":16384,"live_blocks":1265},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":47859,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":54395,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[158,316,474,632,790,948,1106,1265]},"input_witness_len":1325576960,"output_witness_len":63047424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":985116,"positions_per_block":8192,"live_blocks":121},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31218,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5203,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":63047424,"output_witness_len":4452672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69573,"positions_per_block":2048,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1691121822,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4452672,"output_witness_len":1016704}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15886,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":347570807,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1016704,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":128,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":33554432,"output_witness_len":88238016}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":1024,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":536870912,"output_witness_len":633516800}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":344680,"positions_per_block":1024,"live_blocks":337},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14491,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[42,84,126,168,210,252,294,337]},"input_witness_len":88238016,"output_witness_len":17174976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268359,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17174976,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9898700,"positions_per_block":8192,"live_blocks":1209},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":45752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":51987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[151,302,453,604,755,906,1057,1209]},"input_witness_len":633516800,"output_witness_len":46270208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":722972,"positions_per_block":8192,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46270208,"output_witness_len":3836224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":59941,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1404237982,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3836224,"output_witness_len":961664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15026,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":318038647,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":961664,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":4096,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":1,"input_width":45056,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":16642998148}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":17179869184,"output_witness_len":3171065216}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":219043331892}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":67108864,"output_witness_len":163735488}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6193487,"positions_per_block":4096,"live_blocks":1513},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":65360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":65059,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[189,378,567,756,945,1134,1323,1513]},"input_witness_len":3171065216,"output_witness_len":104993216}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1640519,"positions_per_block":8192,"live_blocks":201},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":51858,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8643,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":104993216,"output_witness_len":5993792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":93653,"positions_per_block":2048,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2379123791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5993792,"output_witness_len":1181824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18466,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":426755939,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1181824,"output_witness_len":289152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":319796,"positions_per_block":1024,"live_blocks":313},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13459,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[39,78,117,156,195,234,273,313]},"input_witness_len":163735488,"output_witness_len":25301440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":395335,"positions_per_block":4096,"live_blocks":97},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25026,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4171,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25301440,"output_witness_len":2941760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45965,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2941760,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":8,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":65536,"output_witness_len":4876224}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19048,"positions_per_block":256,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[9,18,27,36,45,54,63,75]},"input_witness_len":4876224,"output_witness_len":4460992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69703,"positions_per_block":2048,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4460992,"output_witness_len":1223104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19111,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":430650290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1223104,"output_witness_len":289152}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4518,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1516200567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289152,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -320,35 +335,20 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":2048,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":98784247716}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":4294967296,"output_witness_len":1325576960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":4,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":27380416308}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":8},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":32768,"output_witness_len":2779072}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":20712140,"positions_per_block":16384,"live_blocks":1265},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":47859,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":54395,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[158,316,474,632,790,948,1106,1265]},"input_witness_len":1325576960,"output_witness_len":63047424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":985116,"positions_per_block":8192,"live_blocks":121},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31218,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5203,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":63047424,"output_witness_len":4452672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69573,"positions_per_block":2048,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1691121822,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4452672,"output_witness_len":1016704}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15886,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":347570807,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1016704,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21712,"positions_per_block":512,"live_blocks":43},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,20,25,30,35,43]},"input_witness_len":2779072,"output_witness_len":2776064}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43376,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9245,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2776064,"output_witness_len":996736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15574,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":379374671,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":996736,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":1024,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":1024,"coeff_linf_bound":133143986052}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":9},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":536870912,"output_witness_len":633511296}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9898614,"positions_per_block":8192,"live_blocks":1209},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":45752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":51987,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288,"witness_chunk_ends":[151,302,453,604,755,906,1057,1209]},"input_witness_len":633511296,"output_witness_len":46270208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":722972,"positions_per_block":8192,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46270208,"output_witness_len":3836224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":59941,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1404237982,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3836224,"output_witness_len":961664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15026,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":318038647,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":961664,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } } ] diff --git a/crates/jolt-akita/schedules/jolt-fp128-onehot-k16-w8r2.aks b/crates/jolt-akita/schedules/jolt-fp128-onehot-k16-w8r2.aks index ea17ec03fe..3be6aa7633 100644 --- a/crates/jolt-akita/schedules/jolt-fp128-onehot-k16-w8r2.aks +++ b/crates/jolt-akita/schedules/jolt-fp128-onehot-k16-w8r2.aks @@ -10,111 +10,112 @@ 49 ], "version": 1, - "protocol_epoch": 5, + "protocol_epoch": 6, "policy_digest": [ - 142, - 197, - 218, - 25, - 123, - 130, - 39, - 44, - 36, - 102, - 100, - 253, - 249, - 240, - 61, - 58, - 175, - 113, - 103, - 149, - 145, - 226, - 235, + 153, + 187, + 168, + 138, + 35, + 207, + 153, + 26, 215, + 10, + 28, + 231, + 104, + 153, + 226, + 153, + 239, + 168, + 44, + 44, + 21, + 5, + 55, + 78, + 101, + 203, + 188, + 219, 192, - 144, - 201, - 18, - 14, - 26, - 35, - 183 + 186, + 106, + 111 ], "family_name": "jolt-fp128-onehot-k16", "rows": [ { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2882496}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6063,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2983680}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45039,"positions_per_block":512,"live_blocks":88},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,88]},"input_witness_len":2882496,"output_witness_len":2904384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45381,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904384,"output_witness_len":1029760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46620,"positions_per_block":512,"live_blocks":92},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,44,47,50,53,92]},"input_witness_len":2983680,"output_witness_len":3013568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013568,"output_witness_len":1046272}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7955,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2093312}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2907136}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32708,"positions_per_block":512,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,31,34,37,40,64]},"input_witness_len":2093312,"output_witness_len":2153472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33648,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3630,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":726,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2153472,"output_witness_len":450816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7044,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":450816,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45424,"positions_per_block":512,"live_blocks":89},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,89]},"input_witness_len":2907136,"output_witness_len":2948160}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46065,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2948160,"output_witness_len":1029760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2909888}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2816960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45467,"positions_per_block":512,"live_blocks":89},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,89]},"input_witness_len":2909888,"output_witness_len":2904384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45381,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904384,"output_witness_len":1029760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44015,"positions_per_block":512,"live_blocks":86},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,42,45,48,51,86]},"input_witness_len":2816960,"output_witness_len":2882496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45039,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2882496,"output_witness_len":1013248}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15832,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":385865256,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1013248,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13158,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2816960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2844352}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44015,"positions_per_block":512,"live_blocks":86},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,42,45,48,51,86]},"input_witness_len":2816960,"output_witness_len":2904384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45381,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904384,"output_witness_len":1029760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44443,"positions_per_block":512,"live_blocks":87},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,42,45,48,51,87]},"input_witness_len":2844352,"output_witness_len":2882496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45039,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2882496,"output_witness_len":1013248}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15832,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":386514314,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1013248,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2909888}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":33554432,"output_witness_len":84021696}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45467,"positions_per_block":512,"live_blocks":89},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,89]},"input_witness_len":2909888,"output_witness_len":2948160}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46065,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2948160,"output_witness_len":1029760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":64,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":13,"num_digits":10},"matrix":{"output_rank":3,"input_width":640,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":2080374660}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":12288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":5},"setup_natural_len":2097152},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":328210,"positions_per_block":2048,"live_blocks":161},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":10496,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9248,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[20,40,60,80,100,120,140,161]},"input_witness_len":84021696,"output_witness_len":27417088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":428392,"positions_per_block":4096,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":13860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27417088,"output_witness_len":1600128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":25002,"positions_per_block":1024,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":34479608124,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2750,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":550,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1600128,"output_witness_len":448768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7012,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":448768,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":2,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":16384,"output_witness_len":1184192}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":4,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":32768,"output_witness_len":1184192}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18503,"positions_per_block":512,"live_blocks":37},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":4884,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":814,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,37]},"input_witness_len":1184192,"output_witness_len":1172672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, @@ -122,72 +123,72 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13932,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2948032}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":86,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":943808}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46063,"positions_per_block":512,"live_blocks":90},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,44,47,50,53,90]},"input_witness_len":2948032,"output_witness_len":3013696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47089,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013696,"output_witness_len":1046272}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14747,"positions_per_block":512,"live_blocks":29},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":1670760}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2340,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":754,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,13,16,19,22,29]},"input_witness_len":943808,"output_witness_len":1166016}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18219,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1166016,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2275598967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1187452456,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6063,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2983680}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2948032}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46620,"positions_per_block":512,"live_blocks":92},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,44,47,50,53,92]},"input_witness_len":2983680,"output_witness_len":3013568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013568,"output_witness_len":1046272}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46063,"positions_per_block":512,"live_blocks":90},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,44,47,50,53,90]},"input_witness_len":2948032,"output_witness_len":2969920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46405,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2969920,"output_witness_len":1046272}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14190,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":3013568}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7525,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2027776}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":512,"live_blocks":92},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,45,48,51,54,92]},"input_witness_len":3013568,"output_witness_len":3013568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013568,"output_witness_len":1046272}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31684,"positions_per_block":512,"live_blocks":62},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,30,33,36,39,62]},"input_witness_len":2027776,"output_witness_len":2153472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33648,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3630,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":726,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2153472,"output_witness_len":450816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7044,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":450816,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5805,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2907136}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2882496}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45424,"positions_per_block":512,"live_blocks":89},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,89]},"input_witness_len":2907136,"output_witness_len":2904384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45039,"positions_per_block":512,"live_blocks":88},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,88]},"input_witness_len":2882496,"output_witness_len":2904384}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45381,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904384,"output_witness_len":1029760}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":3013568}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2841600}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":512,"live_blocks":92},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,45,48,51,54,92]},"input_witness_len":3013568,"output_witness_len":3013568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013568,"output_witness_len":1046272}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44400,"positions_per_block":512,"live_blocks":87},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,42,45,48,51,87]},"input_witness_len":2841600,"output_witness_len":2904384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45381,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904384,"output_witness_len":1029760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -200,25 +201,12 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2816960}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44015,"positions_per_block":512,"live_blocks":86},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,42,45,48,51,86]},"input_witness_len":2816960,"output_witness_len":2882496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45039,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2882496,"output_witness_len":1013248}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15832,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":385865256,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1013248,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":2,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":16384,"output_witness_len":952320}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16,"positions_per_block":2,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":8192,"output_witness_len":952320}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7440,"positions_per_block":256,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":1980,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":660,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,12,15,18,21,30]},"input_witness_len":952320,"output_witness_len":1172672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, @@ -226,87 +214,128 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":128,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":1048576,"output_witness_len":2232768}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2909888}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4361,"positions_per_block":128,"live_blocks":35},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":2490292}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":910,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,35]},"input_witness_len":2232768,"output_witness_len":1752768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27387,"positions_per_block":1024,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4914,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":702,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1752768,"output_witness_len":588800}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9200,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3163510942,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":588800,"output_witness_len":272640}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4260,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1387362462,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272640,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45467,"positions_per_block":512,"live_blocks":89},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,89]},"input_witness_len":2909888,"output_witness_len":2948160}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46065,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2948160,"output_witness_len":1029760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":4096,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":67108864,"output_witness_len":94507456}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":33554432,"output_witness_len":90313152}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1476679,"positions_per_block":4096,"live_blocks":361},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27391,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15523,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[45,90,135,180,225,270,315,361]},"input_witness_len":94507456,"output_witness_len":16866304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1411143,"positions_per_block":4096,"live_blocks":345},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26187,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14835,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[43,86,129,172,215,258,301,345]},"input_witness_len":90313152,"output_witness_len":16866304}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":263536,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16866304,"output_witness_len":2325312}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":524288},"input_witness_len":33554432,"output_witness_len":84021696}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":8192,"live_blocks":1024},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":4294967296,"output_witness_len":161616320}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":64,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":13,"num_digits":10},"matrix":{"output_rank":3,"input_width":640,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":2080374660}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":12288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":5},"setup_natural_len":2097152},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":328210,"positions_per_block":2048,"live_blocks":161},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":10496,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9248,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[20,40,60,80,100,120,140,161]},"input_witness_len":84021696,"output_witness_len":27417088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":428392,"positions_per_block":4096,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":13860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27417088,"output_witness_len":1600128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":25002,"positions_per_block":1024,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":34479608124,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2750,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":550,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1600128,"output_witness_len":448768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7012,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":448768,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2525255,"positions_per_block":4096,"live_blocks":617},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":23478,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26531,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[77,154,231,308,385,462,539,617]},"input_witness_len":161616320,"output_witness_len":23201536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":362524,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23201536,"output_witness_len":2787648}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43557,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2787648,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":3049216}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":3013568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47644,"positions_per_block":512,"live_blocks":94},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12126,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,45,48,51,54,94]},"input_witness_len":3049216,"output_witness_len":3013568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":512,"live_blocks":92},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,45,48,51,54,92]},"input_witness_len":3013568,"output_witness_len":3013568}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013568,"output_witness_len":1046272}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402740776,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":256,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":4194304,"output_witness_len":4329920}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":65536,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1232896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1232896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":17179869184,"output_witness_len":1879197568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33828,"positions_per_block":512,"live_blocks":67},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5762,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[8,16,24,32,40,48,56,67]},"input_witness_len":4329920,"output_witness_len":3365888}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52592,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3380,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3365888,"output_witness_len":554496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8664,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2693592616,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":554496,"output_witness_len":264320}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4130,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1319860382,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":264320,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":512,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":10200547252}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":262144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":6},"setup_natural_len":157810688},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3670308,"positions_per_block":4096,"live_blocks":897},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":2490292}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":114816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":245888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576,"witness_chunk_ends":[112,224,336,448,560,672,784,897]},"input_witness_len":1879197568,"output_witness_len":235041280}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":10,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":213909300}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":81920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":5},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3672520,"positions_per_block":16384,"live_blocks":225},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":8,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":57600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235041280,"output_witness_len":22092288}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":345192,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22092288,"output_witness_len":2037760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7525,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2027776}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":2,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":16384,"output_witness_len":952320}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31684,"positions_per_block":512,"live_blocks":62},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,30,33,36,39,62]},"input_witness_len":2027776,"output_witness_len":2153472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33648,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3630,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":726,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2153472,"output_witness_len":450816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7044,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":450816,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7440,"positions_per_block":256,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":1980,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":660,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,12,15,18,21,30]},"input_witness_len":952320,"output_witness_len":1172672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7148,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":457472,"output_witness_len":222976}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2909888}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45467,"positions_per_block":512,"live_blocks":89},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,89]},"input_witness_len":2909888,"output_witness_len":2904384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45381,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904384,"output_witness_len":1029760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5547,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2787072}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43548,"positions_per_block":512,"live_blocks":86},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,41,44,47,50,86]},"input_witness_len":2787072,"output_witness_len":2882496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45039,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2882496,"output_witness_len":1013248}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15832,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":385865256,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1013248,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":256,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":4194304,"output_witness_len":4329920}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33828,"positions_per_block":512,"live_blocks":67},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5762,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":131072,"witness_chunk_ends":[8,16,24,32,40,48,56,67]},"input_witness_len":4329920,"output_witness_len":3365888}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52592,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3380,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3365888,"output_witness_len":554496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8664,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2693592616,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":554496,"output_witness_len":264320}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4130,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1319860382,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":264320,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -319,87 +348,86 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4260,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1376977527,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272640,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16,"positions_per_block":2,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":8192,"output_witness_len":952320}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":4096,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":67108864,"output_witness_len":94507456}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7440,"positions_per_block":256,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":1980,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":660,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,12,15,18,21,30]},"input_witness_len":952320,"output_witness_len":1172672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7148,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":457472,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1476679,"positions_per_block":4096,"live_blocks":361},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27391,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15523,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[45,90,135,180,225,270,315,361]},"input_witness_len":94507456,"output_witness_len":16866304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":263536,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16866304,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2844352}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7955,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2093312}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44443,"positions_per_block":512,"live_blocks":87},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,42,45,48,51,87]},"input_witness_len":2844352,"output_witness_len":2882496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45039,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2882496,"output_witness_len":1013248}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15832,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":386514314,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1013248,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32708,"positions_per_block":512,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,31,34,37,40,64]},"input_witness_len":2093312,"output_witness_len":2153472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33648,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3630,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":726,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2153472,"output_witness_len":450816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7044,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":450816,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2841600}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13158,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2816960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44400,"positions_per_block":512,"live_blocks":87},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,42,45,48,51,87]},"input_witness_len":2841600,"output_witness_len":2904384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44015,"positions_per_block":512,"live_blocks":86},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,42,45,48,51,86]},"input_witness_len":2816960,"output_witness_len":2904384}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45381,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904384,"output_witness_len":1029760}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5547,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2787072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13932,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2948032}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43548,"positions_per_block":512,"live_blocks":86},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,41,44,47,50,86]},"input_witness_len":2787072,"output_witness_len":2882496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45039,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2882496,"output_witness_len":1013248}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15832,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":385865256,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1013248,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46063,"positions_per_block":512,"live_blocks":90},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,44,47,50,53,90]},"input_witness_len":2948032,"output_witness_len":3013696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47089,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013696,"output_witness_len":1046272}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":131072,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":748544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":748544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":17179869184,"output_witness_len":1510096000}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":2,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":16384,"output_witness_len":1184192}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":512,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":3,"input_width":5632,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":1543503780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":196608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":5},"setup_natural_len":95813632},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5898813,"positions_per_block":4096,"live_blocks":1441},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":184448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":157760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576,"witness_chunk_ends":[180,360,540,720,900,1080,1260,1441]},"input_witness_len":1510096000,"output_witness_len":142733824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":10,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":213909300}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":81920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":5},"setup_natural_len":25165824},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2230216,"positions_per_block":16384,"live_blocks":137},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":8,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":35072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":142733824,"output_witness_len":20460032}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":319688,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20460032,"output_witness_len":1951744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18503,"positions_per_block":512,"live_blocks":37},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":4884,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":814,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,37]},"input_witness_len":1184192,"output_witness_len":1172672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7148,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":457472,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2907136}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5805,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2907136}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45424,"positions_per_block":512,"live_blocks":89},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,89]},"input_witness_len":2907136,"output_witness_len":2948160}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46065,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2948160,"output_witness_len":1029760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45424,"positions_per_block":512,"live_blocks":89},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,43,46,49,52,89]},"input_witness_len":2907136,"output_witness_len":2904384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45381,"positions_per_block":1024,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9675,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904384,"output_witness_len":1029760}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16090,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":395601133,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1029760,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -412,33 +440,33 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1187452456,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":4,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":32768,"output_witness_len":1184192}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":3049216}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18503,"positions_per_block":512,"live_blocks":37},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":4884,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":814,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,37]},"input_witness_len":1184192,"output_witness_len":1172672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7148,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":457472,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47644,"positions_per_block":512,"live_blocks":94},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12126,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,45,48,51,54,94]},"input_witness_len":3049216,"output_witness_len":3013568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013568,"output_witness_len":1046272}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402740776,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2948032}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":128,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536},"input_witness_len":1048576,"output_witness_len":2232768}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46063,"positions_per_block":512,"live_blocks":90},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,44,47,50,53,90]},"input_witness_len":2948032,"output_witness_len":2969920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46405,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2969920,"output_witness_len":1046272}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4361,"positions_per_block":128,"live_blocks":35},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":2490292}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":910,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,35]},"input_witness_len":2232768,"output_witness_len":1752768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27387,"positions_per_block":1024,"live_blocks":27},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4914,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":702,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1752768,"output_witness_len":588800}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9200,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3163510942,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":588800,"output_witness_len":272640}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4260,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1387362462,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272640,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -451,74 +479,61 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2027776}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31684,"positions_per_block":512,"live_blocks":62},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,30,33,36,39,62]},"input_witness_len":2027776,"output_witness_len":2153472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33648,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3630,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":726,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2153472,"output_witness_len":450816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7044,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":450816,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2093312}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12642,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2751424}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32708,"positions_per_block":512,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,31,34,37,40,64]},"input_witness_len":2093312,"output_witness_len":2153472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33648,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3630,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":726,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2153472,"output_witness_len":450816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7044,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":450816,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42991,"positions_per_block":512,"live_blocks":84},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":10836,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,41,44,47,50,84]},"input_witness_len":2751424,"output_witness_len":2816960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44015,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9245,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2816960,"output_witness_len":996736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15574,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":380023730,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":996736,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":8192,"live_blocks":1024},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":4294967296,"output_witness_len":161616320}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14190,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":3013568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2525255,"positions_per_block":4096,"live_blocks":617},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":23478,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26531,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[77,154,231,308,385,462,539,617]},"input_witness_len":161616320,"output_witness_len":23201536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":362524,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23201536,"output_witness_len":2787648}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43557,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2787648,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":512,"live_blocks":92},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,45,48,51,54,92]},"input_witness_len":3013568,"output_witness_len":3013568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47087,"positions_per_block":1024,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9890,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3013568,"output_witness_len":1046272}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16348,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":402091717,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1046272,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1348418954,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144},"input_witness_len":33554432,"output_witness_len":90313152}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2027776}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1411143,"positions_per_block":4096,"live_blocks":345},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":7,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26187,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14835,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":262144,"witness_chunk_ends":[43,86,129,172,215,258,301,345]},"input_witness_len":90313152,"output_witness_len":16866304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":263536,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16866304,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31684,"positions_per_block":512,"live_blocks":62},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,30,33,36,39,62]},"input_witness_len":2027776,"output_witness_len":2153472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33648,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3630,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":726,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2153472,"output_witness_len":450816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7044,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":450816,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":86,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":943808}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":131072,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":748544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":748544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576},"input_witness_len":17179869184,"output_witness_len":1510096000}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14747,"positions_per_block":512,"live_blocks":29},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":1670760}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2340,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":754,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,13,16,19,22,29]},"input_witness_len":943808,"output_witness_len":1166016}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18219,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1166016,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2275598967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1187452456,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":512,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":3,"input_width":5632,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":1543503780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":196608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":5},"setup_natural_len":95813632},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5898813,"positions_per_block":4096,"live_blocks":1441},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":184448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":157760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576,"witness_chunk_ends":[180,360,540,720,900,1080,1260,1441]},"input_witness_len":1510096000,"output_witness_len":142733824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":10,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":213909300}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":81920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":5},"setup_natural_len":25165824},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2230216,"positions_per_block":16384,"live_blocks":137},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":8,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":35072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":142733824,"output_witness_len":20460032}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":319688,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20460032,"output_witness_len":1951744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -532,35 +547,20 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":65536,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1232896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1232896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":2097152},"input_witness_len":17179869184,"output_witness_len":1879197568}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":512,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":16,"num_digits":8},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":10200547252}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":262144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":6},"setup_natural_len":157810688},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3670308,"positions_per_block":4096,"live_blocks":897},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":2490292}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":114816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":245888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":1048576,"witness_chunk_ends":[112,224,336,448,560,672,784,897]},"input_witness_len":1879197568,"output_witness_len":235041280}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":10,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":213909300}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":81920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":5},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3672520,"positions_per_block":16384,"live_blocks":225},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":8,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":57600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235041280,"output_witness_len":22092288}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":345192,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22092288,"output_witness_len":2037760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12642,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2751424}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":2093312}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42991,"positions_per_block":512,"live_blocks":84},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":10836,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,41,44,47,50,84]},"input_witness_len":2751424,"output_witness_len":2816960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44015,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9245,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2816960,"output_witness_len":996736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15574,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":380023730,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":996736,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32708,"positions_per_block":512,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,31,34,37,40,64]},"input_witness_len":2093312,"output_witness_len":2153472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33648,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3630,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":726,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2153472,"output_witness_len":450816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7044,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":450816,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } } ] diff --git a/crates/jolt-akita/schedules/jolt-fp128-onehot-k16.aks b/crates/jolt-akita/schedules/jolt-fp128-onehot-k16.aks index f27ffafcef..4bad9329da 100644 --- a/crates/jolt-akita/schedules/jolt-fp128-onehot-k16.aks +++ b/crates/jolt-akita/schedules/jolt-fp128-onehot-k16.aks @@ -10,2966 +10,2755 @@ 49 ], "version": 1, - "protocol_epoch": 5, + "protocol_epoch": 6, "policy_digest": [ - 178, - 127, - 137, - 209, - 12, - 206, - 255, - 54, - 99, + 55, + 125, + 76, + 224, + 243, + 124, + 21, + 184, + 217, + 153, + 94, + 169, + 176, + 15, + 30, + 81, + 6, + 119, + 194, + 0, + 248, + 84, + 3, + 210, + 73, + 9, + 115, + 187, + 53, + 93, 118, - 163, - 164, - 65, - 221, - 236, - 121, - 218, - 188, - 110, - 13, - 209, - 43, - 78, - 43, - 196, - 74, - 11, - 154, - 122, - 104, - 113, - 71 + 2 ], "family_name": "jolt-fp128-onehot-k16", "rows": [ { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1800640}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":4096,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":14864832}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7034,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1800640,"output_witness_len":686080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":2097152},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":58066,"positions_per_block":1024,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14864832,"output_witness_len":5218816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":81544,"positions_per_block":2048,"live_blocks":40},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5218816,"output_witness_len":991232}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15488,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991232,"output_witness_len":417792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6528,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":417792,"output_witness_len":282624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":387812431,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":256,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":717760}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1230528}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2804,"positions_per_block":256,"live_blocks":11},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":717760,"output_witness_len":439936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6874,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":439936,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":390408665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4807,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1230528,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":113051520}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":231168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":115584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":208297088}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":220804,"positions_per_block":4096,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":113051520,"output_witness_len":13524480}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211320,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13524480,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":406831,"positions_per_block":2048,"live_blocks":199},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":208297088,"output_witness_len":22544896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":352264,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22544896,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6333568}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17396928}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12371,"positions_per_block":256,"live_blocks":49},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6333568,"output_witness_len":1873536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29274,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1873536,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33979,"positions_per_block":512,"live_blocks":67},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2881,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17396928,"output_witness_len":2843648}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44432,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2843648,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":38,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":536870912,"positions_per_block":131072,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":274877906944,"output_witness_len":494028672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":66048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":66048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":71733696}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":964900,"positions_per_block":8192,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":494028672,"output_witness_len":53864960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":841640,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53864960,"output_witness_len":4105920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64155,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1535347791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4105920,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":4,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":560420,"positions_per_block":4096,"live_blocks":137},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35346,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22790,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":71733696,"output_witness_len":13848576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":216384,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13848576,"output_witness_len":2094144}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8689024}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7918464}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16971,"positions_per_block":512,"live_blocks":34},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8689024,"output_witness_len":1982528}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30977,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1982528,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15466,"positions_per_block":512,"live_blocks":31},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7918464,"output_witness_len":1908224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29816,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1908224,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":115584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":104201344}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":280704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":280704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":314017664}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":203519,"positions_per_block":4096,"live_blocks":50},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":104201344,"output_witness_len":13434368}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209912,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13434368,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":35930112},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":613316,"positions_per_block":8192,"live_blocks":75},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":314017664,"output_witness_len":26187264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":409176,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26187264,"output_witness_len":2094592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":8192,"live_blocks":1024},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":42275264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":40,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2147483648,"positions_per_block":262144,"live_blocks":8192},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1099511627776,"output_witness_len":762420352}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82569,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":42275264,"output_witness_len":16989696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1489103,"positions_per_block":4096,"live_blocks":364},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":46592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":762420352,"output_witness_len":44274176}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":691784,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44274176,"output_witness_len":2824192}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":52288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":52288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":47030720}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":508118912}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":91857,"positions_per_block":4096,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":47030720,"output_witness_len":17077760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266840,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17077760,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":992420,"positions_per_block":8192,"live_blocks":122},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":65016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":508118912,"output_witness_len":54041088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":844392,"positions_per_block":8192,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54041088,"output_witness_len":4125184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64456,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1536645908,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4125184,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":114812800}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":25960896}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":224244,"positions_per_block":4096,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":114812800,"output_witness_len":13547008}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211672,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13547008,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":202820,"positions_per_block":2048,"live_blocks":100},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25960896,"output_witness_len":3061312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47833,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3061312,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1395648}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":15824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5750272}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5452,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1395648,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44924,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5750272,"output_witness_len":1436352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22443,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1436352,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":52288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":52288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":63807936}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11724672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":249250,"positions_per_block":2048,"live_blocks":122},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16000,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":63807936,"output_witness_len":11006464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":171976,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11006464,"output_witness_len":1413120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":91599,"positions_per_block":2048,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11724672,"output_witness_len":1968960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30765,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1968960,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":140352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":140352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":224192384}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":36464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37916096}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":437876,"positions_per_block":2048,"live_blocks":214},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":224192384,"output_witness_len":22852096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":357064,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22852096,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":74055,"positions_per_block":4096,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37916096,"output_witness_len":14804480}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231320,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14804480,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":112832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":112832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":139470720}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":47823296}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":272404,"positions_per_block":8192,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":139470720,"output_witness_len":34306560}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536040,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34306560,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":93405,"positions_per_block":4096,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":47823296,"output_witness_len":17077760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266840,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17077760,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":302720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":302720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":328107904}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1175488}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":38748160},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":640836,"positions_per_block":8192,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":328107904,"output_witness_len":26277376}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":410584,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26277376,"output_witness_len":2107264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4592,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1175488,"output_witness_len":592576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9259,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":592576,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":118336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":118336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":142993280}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5507968}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":279284,"positions_per_block":8192,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28036,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":142993280,"output_witness_len":34350592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536728,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34350592,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43031,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5507968,"output_witness_len":1417088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22142,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1417088,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2532224}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9892,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2532224,"output_witness_len":911744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14246,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":911744,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":214656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":107328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":203013248}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":512,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":1354688}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":396511,"positions_per_block":2048,"live_blocks":194},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":24832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":203013248,"output_witness_len":22442496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":350664,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22442496,"output_witness_len":2052096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5292,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1354688,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":96320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":96320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":122735744}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":515164032}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":239719,"positions_per_block":4096,"live_blocks":59},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":122735744,"output_witness_len":26985984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421656,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26985984,"output_witness_len":3057344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47771,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3057344,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1006180,"positions_per_block":8192,"live_blocks":123},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":21156,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":65188,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":515164032,"output_witness_len":54085120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":845080,"positions_per_block":8192,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54085120,"output_witness_len":4125184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64456,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1536645908,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4125184,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":373901184}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1588288}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":47906816},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":730276,"positions_per_block":8192,"live_blocks":90},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":373901184,"output_witness_len":26525184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":414456,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26525184,"output_witness_len":2119936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6205,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1588288,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":67770816}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1580480}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":264730,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67770816,"output_witness_len":11401728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":178152,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11401728,"output_witness_len":1441792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6174,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1580480,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1387840}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1828160}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5422,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1387840,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7142,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1828160,"output_witness_len":686080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":8192,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":42275264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17198784}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82569,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":42275264,"output_witness_len":16989696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33592,"positions_per_block":512,"live_blocks":66},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17198784,"output_witness_len":2818880}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44045,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2818880,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":48615872}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":94953,"positions_per_block":4096,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":48615872,"output_witness_len":17121792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":267528,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17121792,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16384,"output_witness_len":111104}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1736,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18304}},"input_witness_len":111104} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":15824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5750272}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11834752}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44924,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5750272,"output_witness_len":1436352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22443,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1436352,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":92459,"positions_per_block":2048,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11834752,"output_witness_len":1988224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31066,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1988224,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":55485888}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":50912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":50912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":46238144}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":216742,"positions_per_block":2048,"live_blocks":106},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":55485888,"output_witness_len":10678784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":166856,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10678784,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":90309,"positions_per_block":4096,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46238144,"output_witness_len":17077760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266840,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17077760,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":23979456}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":561408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":561408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":694994816}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":187340,"positions_per_block":2048,"live_blocks":92},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23979456,"output_witness_len":2885312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45083,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2885312,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":71860224},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1357412,"positions_per_block":4096,"live_blocks":332},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":42496,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":694994816,"output_witness_len":43618816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":681544,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43618816,"output_witness_len":2809856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":22790592}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":66048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":66048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":109528960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44513,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22790592,"output_witness_len":3256896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":50889,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3256896,"output_witness_len":1030464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16101,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":343351927,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1030464,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":213924,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":109528960,"output_witness_len":13501952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210968,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13501952,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":15136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":13048256}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":67424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":67424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":72526272}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":101940,"positions_per_block":2048,"live_blocks":50},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2150,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13048256,"output_witness_len":2076224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32441,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2076224,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":4,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":566612,"positions_per_block":4096,"live_blocks":139},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35862,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":72526272,"output_witness_len":13892608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":217072,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13892608,"output_witness_len":2094144}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":28154752}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1258048}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":54990,"positions_per_block":1024,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":28154752,"output_witness_len":6665728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104152,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6665728,"output_witness_len":1104896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4915,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1258048,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6003328}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":27714432}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11726,"positions_per_block":256,"live_blocks":46},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6003328,"output_witness_len":1799232}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28113,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1799232,"output_witness_len":749056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":54130,"positions_per_block":1024,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27714432,"output_witness_len":6645760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103840,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6645760,"output_witness_len":1104896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":914368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":35860352}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3572,"positions_per_block":256,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914368,"output_witness_len":489472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7648,"positions_per_block":1024,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":489472,"output_witness_len":235520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3680,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":981051865,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235520,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":70040,"positions_per_block":1024,"live_blocks":69},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6916,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":35860352,"output_witness_len":6965248}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":108832,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6965248,"output_witness_len":1144832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32768,"output_witness_len":160512}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":2508,"positions_per_block":512,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":174,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34368}},"input_witness_len":160512} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":134848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":134848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":153560960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12057536}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":17260544},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":299924,"positions_per_block":2048,"live_blocks":147},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":18816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":153560960,"output_witness_len":20640256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":322504,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20640256,"output_witness_len":1951744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":94200,"positions_per_block":2048,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12057536,"output_witness_len":1988224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31066,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1988224,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":1024,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":5403072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3412352}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42212,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5403072,"output_witness_len":1397824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13330,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3412352,"output_witness_len":1090304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":387991424}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7698304}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":50724864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":757796,"positions_per_block":8192,"live_blocks":93},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":387991424,"output_witness_len":26592768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":415512,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26592768,"output_witness_len":2119936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15036,"positions_per_block":512,"live_blocks":30},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7698304,"output_witness_len":1883456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29429,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1883456,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":50993600}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8028544}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":99597,"positions_per_block":4096,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":50993600,"output_witness_len":17165824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268216,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17165824,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15681,"positions_per_block":512,"live_blocks":31},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8028544,"output_witness_len":1908224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29816,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1908224,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":40,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2147483648,"positions_per_block":262144,"live_blocks":8192},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1099511627776,"output_witness_len":762420352}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1533248}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1489103,"positions_per_block":4096,"live_blocks":364},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":46592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":762420352,"output_witness_len":44274176}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":691784,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44274176,"output_witness_len":2824192}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5990,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1533248,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":53108160}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":143104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":143104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":158844800}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":207454,"positions_per_block":2048,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53108160,"output_witness_len":10596864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165576,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10596864,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":18317312},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":310244,"positions_per_block":2048,"live_blocks":152},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":158844800,"output_witness_len":20732416}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323944,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20732416,"output_witness_len":1966080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":429312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":214656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":405920896}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":118336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":118336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":142993280}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":792815,"positions_per_block":8192,"live_blocks":97},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":405920896,"output_witness_len":26682880}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":416920,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26682880,"output_witness_len":2119936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":279284,"positions_per_block":8192,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28036,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":142993280,"output_witness_len":34350592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536728,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34350592,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17000640}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":572416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":702039936}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33205,"positions_per_block":512,"live_blocks":65},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17000640,"output_witness_len":2794112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43658,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2794112,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":73269248},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1371172,"positions_per_block":4096,"live_blocks":335},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":42880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":702039936,"output_witness_len":43680256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":682504,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43680256,"output_witness_len":2809856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1588288}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":192640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":192640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":190547840}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6205,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1588288,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":24657920},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":372164,"positions_per_block":2048,"live_blocks":182},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":23296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":190547840,"output_witness_len":22196736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":346824,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22196736,"output_witness_len":2037760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14592384}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":19224000}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":114003,"positions_per_block":2048,"live_blocks":56},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14592384,"output_witness_len":2191808}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34247,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2191808,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37547,"positions_per_block":512,"live_blocks":74},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19224000,"output_witness_len":3017024}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47141,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3017024,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":335887754,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1576512}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1313088}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6159,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1576512,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5130,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1313088,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9834176}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3324288}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19208,"positions_per_block":512,"live_blocks":38},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9834176,"output_witness_len":2081600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32525,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2081600,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12986,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3324288,"output_witness_len":1073792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1796672}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28073,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1796672,"output_witness_len":786176}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12284,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":786176,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2003840}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7828,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2003840,"output_witness_len":823680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12870,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":823680,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":4096,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":14864832}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":236672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":236672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":285837184}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":2097152},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":58066,"positions_per_block":1024,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14864832,"output_witness_len":5218816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":81544,"positions_per_block":2048,"live_blocks":40},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5218816,"output_witness_len":991232}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15488,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991232,"output_witness_len":417792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6528,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":417792,"output_witness_len":282624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":387812431,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":558276,"positions_per_block":2048,"live_blocks":273},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285837184,"output_witness_len":22993408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":359272,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22993408,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8248704}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8468864}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16111,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8248704,"output_witness_len":1932992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30203,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1932992,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16541,"positions_per_block":512,"live_blocks":33},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8468864,"output_witness_len":1957760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30590,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1957760,"output_witness_len":782080}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":123840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":106843264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":72928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":72928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":113932160}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208679,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":106843264,"output_witness_len":13456896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":222524,"positions_per_block":4096,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":113932160,"output_witness_len":13547008}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211672,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13547008,"output_witness_len":1486336}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":60637632}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":902656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":902656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":883601920}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":236866,"positions_per_block":2048,"live_blocks":116},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":14848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":60637632,"output_witness_len":10883584}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":170056,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10883584,"output_witness_len":1413120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1725785,"positions_per_block":4096,"live_blocks":422},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":54016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":883601920,"output_witness_len":45462016}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":710344,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45462016,"output_witness_len":2852864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":69355968}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8192,"output_witness_len":108416}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1694,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18304}},"input_witness_len":108416} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":48615872}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":270922,"positions_per_block":4096,"live_blocks":67},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":69355968,"output_witness_len":11442688}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":178792,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11442688,"output_witness_len":1441792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":94953,"positions_per_block":4096,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":48615872,"output_witness_len":17121792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":267528,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17121792,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5342848}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":38708672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41741,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5342848,"output_witness_len":1378560}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":75603,"positions_per_block":4096,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":38708672,"output_witness_len":14804480}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231320,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14804480,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":203648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":203648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":197592960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":914368}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":26066944},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":385924,"positions_per_block":2048,"live_blocks":189},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":24192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":197592960,"output_witness_len":22340096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":349064,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22340096,"output_witness_len":2052096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3572,"positions_per_block":256,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914368,"output_witness_len":489472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7648,"positions_per_block":1024,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":489472,"output_witness_len":235520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3680,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":981051865,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235520,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14633408}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17000640}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":114324,"positions_per_block":2048,"live_blocks":56},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14633408,"output_witness_len":2191808}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34247,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2191808,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33205,"positions_per_block":512,"live_blocks":65},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17000640,"output_witness_len":2794112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43658,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2794112,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":242176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":242176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":289359744}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":302720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":302720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":328107904}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":565156,"positions_per_block":2048,"live_blocks":276},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":17024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289359744,"output_witness_len":23048704}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":360136,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23048704,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":38748160},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":640836,"positions_per_block":8192,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":328107904,"output_witness_len":26277376}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":410584,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26277376,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1828160}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":512,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":914368}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7142,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1828160,"output_witness_len":686080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3572,"positions_per_block":256,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914368,"output_witness_len":489472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7648,"positions_per_block":1024,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":489472,"output_witness_len":235520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3680,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":981051865,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235520,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":16384,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":59052480}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":75680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":75680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":115693440}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230674,"positions_per_block":2048,"live_blocks":113},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":14464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":59052480,"output_witness_len":10822144}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":169096,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10822144,"output_witness_len":1413120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":225964,"positions_per_block":4096,"live_blocks":56},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":115693440,"output_witness_len":13569536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212024,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13569536,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1965760}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":70176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":70176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":74111424}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30715,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1965760,"output_witness_len":819200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12800,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":819200,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":5,"input_width":5632,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":578996,"positions_per_block":4096,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74111424,"output_witness_len":13854592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":216478,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13854592,"output_witness_len":2094144}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7257984}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1800640}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14176,"positions_per_block":512,"live_blocks":28},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7257984,"output_witness_len":1833920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28655,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1833920,"output_witness_len":749056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7034,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1800640,"output_witness_len":686080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":35420032}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":145856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":145856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":160606080}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69180,"positions_per_block":1024,"live_blocks":68},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":35420032,"output_witness_len":6945280}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":108520,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6945280,"output_witness_len":1131520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":18669568},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":313684,"positions_per_block":2048,"live_blocks":154},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13120,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":160606080,"output_witness_len":20769280}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":324520,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20769280,"output_witness_len":1966080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":214656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":214656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":271746944}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":2048,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":6762880}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":530756,"positions_per_block":2048,"live_blocks":260},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":271746944,"output_witness_len":22753792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355528,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22753792,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":1048576},{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":26418,"positions_per_block":1024,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6762880,"output_witness_len":3588608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":56072,"positions_per_block":2048,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3588608,"output_witness_len":819200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12800,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":819200,"output_witness_len":380928}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5952,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":500748604,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380928,"output_witness_len":221184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3456,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":322582056,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":221184,"output_witness_len":123776}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1934,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":629586708,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":123776,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1636925440,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1328832}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":99072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":99072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":130664320}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5191,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1328832,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":255204,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":130664320,"output_witness_len":34218496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":534664,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34218496,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7918464}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11264960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15466,"positions_per_block":512,"live_blocks":31},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7918464,"output_witness_len":1908224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29816,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1908224,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":88008,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11264960,"output_witness_len":1930432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30163,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1930432,"output_witness_len":782080}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3324288}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":62222784}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12986,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3324288,"output_witness_len":1073792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":243058,"positions_per_block":2048,"live_blocks":119},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15808,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":62222784,"output_witness_len":10945024}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":171016,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10945024,"output_witness_len":1413120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":72928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":72928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":113932160}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1521472}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":222524,"positions_per_block":4096,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":113932160,"output_witness_len":13547008}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211672,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13547008,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5944,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1521472,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":550400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":550400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":687949696}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1525440}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":70451200},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1343652,"positions_per_block":4096,"live_blocks":329},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":42112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":687949696,"output_witness_len":43557376}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":680584,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43557376,"output_witness_len":2809856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5959,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1525440,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":115584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":115584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":141232000}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":473344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":638633856}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":275844,"positions_per_block":8192,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":141232000,"output_witness_len":34306560}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536040,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34306560,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1247332,"positions_per_block":16384,"live_blocks":77},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":638633856,"output_witness_len":68836864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1075576,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68836864,"output_witness_len":4664576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":302720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":302720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":462325632}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":69355968}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":902980,"positions_per_block":8192,"live_blocks":111},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":462325632,"output_witness_len":26998272}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421848,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26998272,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47315388259,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":270922,"positions_per_block":4096,"live_blocks":67},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":69355968,"output_witness_len":11442688}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":178792,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11442688,"output_witness_len":1441792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1285568}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9636032}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5022,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1285568,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18821,"positions_per_block":512,"live_blocks":37},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1591,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9636032,"output_witness_len":2056832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32138,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056832,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16604352}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":43860416}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32431,"positions_per_block":512,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16604352,"output_witness_len":2769344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43271,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2769344,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":85665,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43860416,"output_witness_len":16989696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":28815232}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":12,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":129,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":86,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4096,"output_witness_len":82304}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1286,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":182,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17984}},"input_witness_len":82304} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":8192,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":31016832}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":56280,"positions_per_block":1024,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6188,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":28815232,"output_witness_len":6685696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104464,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6685696,"output_witness_len":1118208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":60580,"positions_per_block":1024,"live_blocks":60},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":31016832,"output_witness_len":6785536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106024,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6785536,"output_witness_len":1118208}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5450048}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11066816}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42579,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5450048,"output_witness_len":1397824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86460,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11066816,"output_witness_len":1930432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30163,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1930432,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":522209152}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":15029696}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1019940,"positions_per_block":8192,"live_blocks":125},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":21500,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":65532,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":522209152,"output_witness_len":54173184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":846456,"positions_per_block":8192,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54173184,"output_witness_len":4125184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64456,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1536645908,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4125184,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":117420,"positions_per_block":2048,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14964,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":15029696,"output_witness_len":2219392}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34678,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2219392,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14831552}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6333568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":115872,"positions_per_block":2048,"live_blocks":57},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7482,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14831552,"output_witness_len":2211072}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34548,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2211072,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12371,"positions_per_block":256,"live_blocks":49},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6333568,"output_witness_len":1873536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29274,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1873536,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8138624}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1232896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1232896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":931503168}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15896,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8138624,"output_witness_len":1932992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30203,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1932992,"output_witness_len":782080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7277369,"positions_per_block":16384,"live_blocks":445},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":57405,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":126334,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":931503168,"output_witness_len":74161664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1158776,"positions_per_block":8192,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17114,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74161664,"output_witness_len":22786624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356041,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22786624,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2664320}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8799104}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10408,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2664320,"output_witness_len":1040768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16262,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1040768,"output_witness_len":290816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17186,"positions_per_block":512,"live_blocks":34},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8799104,"output_witness_len":1982528}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30977,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1982528,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":126592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":126592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":148277120}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2598272}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":289604,"positions_per_block":8192,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":148277120,"output_witness_len":34394624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":537416,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34394624,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10150,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2598272,"output_witness_len":911744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14246,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":911744,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":231168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":115584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":208297088}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":324585344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":406831,"positions_per_block":2048,"live_blocks":199},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":208297088,"output_witness_len":22544896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":352264,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22544896,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":38043648},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":633956,"positions_per_block":8192,"live_blocks":78},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":324585344,"output_witness_len":26254848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":410232,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26254848,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":23186880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":19422144}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":181148,"positions_per_block":2048,"live_blocks":89},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23186880,"output_witness_len":2827520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44180,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2827520,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":317714117,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37934,"positions_per_block":512,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19422144,"output_witness_len":3041792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47528,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3041792,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":335887754,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":451328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":225664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":412966016}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":806575,"positions_per_block":8192,"live_blocks":99},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":412966016,"output_witness_len":26727936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":417624,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26727936,"output_witness_len":2119936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16384,"output_witness_len":116608}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1822,"positions_per_block":512,"live_blocks":4},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":192,"t_field_elems":768,"z_linf_cap":155,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":33728}},"input_witness_len":116608} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1218752}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":151360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":151360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":164128640}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4761,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1218752,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":19374080},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":320564,"positions_per_block":2048,"live_blocks":157},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":20096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":164128640,"output_witness_len":20824576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":325384,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20824576,"output_witness_len":1966080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6168448}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":50912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":50912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":63015360}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12048,"positions_per_block":256,"live_blocks":48},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6168448,"output_witness_len":1848768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28887,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1848768,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":246154,"positions_per_block":2048,"live_blocks":121},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":63015360,"output_witness_len":10985984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":171656,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10985984,"output_witness_len":1413120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":198144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":194070400}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":204774528}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":25362432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":379044,"positions_per_block":2048,"live_blocks":186},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":23808,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":194070400,"output_witness_len":22278656}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":348104,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22278656,"output_witness_len":2037760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":399951,"positions_per_block":2048,"live_blocks":196},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":204774528,"output_witness_len":22483456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351304,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22483456,"output_witness_len":2052096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":4725568}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36919,"positions_per_block":1024,"live_blocks":37},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4902,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1591,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4725568,"output_witness_len":1301504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":20336,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1301504,"output_witness_len":616960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":128,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":193280}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":3020,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34368}},"input_witness_len":193280} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1340608}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":236672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":118336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":210058368}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5237,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1340608,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":410271,"positions_per_block":2048,"live_blocks":201},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":210058368,"output_witness_len":22585856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":352904,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22585856,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1580480}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12453824}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6174,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1580480,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":97296,"positions_per_block":2048,"live_blocks":48},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12453824,"output_witness_len":2026752}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31668,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2026752,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5685120}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5948288}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44415,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5685120,"output_witness_len":1436352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22443,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1436352,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11618,"positions_per_block":256,"live_blocks":46},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5948288,"output_witness_len":1799232}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28113,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1799232,"output_witness_len":749056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3588480}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":253184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":126592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":215342208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14018,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3588480,"output_witness_len":1090304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420591,"positions_per_block":2048,"live_blocks":206},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":26368,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":215342208,"output_witness_len":22688256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":354504,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22688256,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":605440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":605440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":723175296}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14435264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":77496320},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1412452,"positions_per_block":4096,"live_blocks":345},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":44160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":723175296,"output_witness_len":43885056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":685704,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43885056,"output_witness_len":2809856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":112776,"positions_per_block":2048,"live_blocks":56},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14435264,"output_witness_len":2191808}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34247,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2191808,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":990720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":990720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":917418496}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":286208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":451757952}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1791833,"positions_per_block":4096,"live_blocks":438},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":56064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":917418496,"output_witness_len":45789696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":715464,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45789696,"output_witness_len":2867200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":882340,"positions_per_block":8192,"live_blocks":108},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":451757952,"output_witness_len":26930688}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420792,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26930688,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":75680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":75680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":77281728}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5673088}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":2,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":301882,"positions_per_block":2048,"live_blocks":148},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23736,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":77281728,"output_witness_len":14921984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":233156,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14921984,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44321,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5673088,"output_witness_len":1436352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22443,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1436352,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11661248}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2334208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":91104,"positions_per_block":2048,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11661248,"output_witness_len":1968960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30765,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1968960,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9118,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2334208,"output_witness_len":845760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":792576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":790600832}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":55089600}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1544143,"positions_per_block":4096,"live_blocks":377},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":48256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":790600832,"output_witness_len":44540416}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":695944,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44540416,"output_witness_len":2824192}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":215194,"positions_per_block":2048,"live_blocks":106},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":55089600,"output_witness_len":10678784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":166856,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10678784,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":209152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":209152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":201115520}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1218752}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":26771456},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":392804,"positions_per_block":2048,"live_blocks":192},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":24576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":201115520,"output_witness_len":22401536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":350024,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22401536,"output_witness_len":2052096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4761,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1218752,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":99072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":99072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":97109888}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2664320}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":12681216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":189668,"positions_per_block":4096,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":97109888,"output_witness_len":13366784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208856,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13366784,"output_witness_len":1473664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28124027668,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10408,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2664320,"output_witness_len":1040768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16262,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1040768,"output_witness_len":290816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":187136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":187136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":187025280}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":407296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":407296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":395036544}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":23953408},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":365284,"positions_per_block":2048,"live_blocks":179},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":22912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":187025280,"output_witness_len":22135296}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":345864,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22135296,"output_witness_len":2037760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":52133888},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":771556,"positions_per_block":8192,"live_blocks":95},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":395036544,"output_witness_len":26637824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":416216,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26637824,"output_witness_len":2119936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":77056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":77056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":116574080}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":38,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536870912,"positions_per_block":65536,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":274877906944,"output_witness_len":359810944}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":227684,"positions_per_block":4096,"live_blocks":56},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":116574080,"output_witness_len":13569536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212024,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13569536,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":45088768},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":702756,"positions_per_block":8192,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":359810944,"output_witness_len":26435072}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":413048,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26435072,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":528384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":528384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":673859456}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7147904}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":67633152},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1316132,"positions_per_block":4096,"live_blocks":322},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":41216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":673859456,"output_witness_len":43414016}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":678344,"positions_per_block":8192,"live_blocks":83},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43414016,"output_witness_len":2795520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43680,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2795520,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13961,"positions_per_block":512,"live_blocks":28},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7147904,"output_witness_len":1833920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28655,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1833920,"output_witness_len":749056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5728128}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":75680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":75680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":77281728}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44751,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5728128,"output_witness_len":1436352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22443,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1436352,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":2,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":301882,"positions_per_block":4096,"live_blocks":74},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17372,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":77281728,"output_witness_len":14971648}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":233932,"positions_per_block":4096,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14964,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14971648,"output_witness_len":2190464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34226,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2190464,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1438912}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":67770816}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5621,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1438912,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":264730,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67770816,"output_witness_len":11401728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":178152,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11401728,"output_witness_len":1441792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1383872}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":93568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":93568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":93587328}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5406,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1383872,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":11976704},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":182788,"positions_per_block":4096,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":93587328,"output_witness_len":13321728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208152,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13321728,"output_witness_len":1473664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8468864}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16541,"positions_per_block":512,"live_blocks":33},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8468864,"output_witness_len":1957760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30590,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1957760,"output_witness_len":782080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":129,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":86,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8192,"output_witness_len":86400}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1350,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":182,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17984}},"input_witness_len":86400} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":515164032}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1470400}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1006180,"positions_per_block":8192,"live_blocks":123},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":21156,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":65188,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":515164032,"output_witness_len":54085120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":845080,"positions_per_block":8192,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54085120,"output_witness_len":4125184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64456,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1536645908,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4125184,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5744,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1470400,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1415360}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":70148544}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5529,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1415360,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":274018,"positions_per_block":4096,"live_blocks":67},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":70148544,"output_witness_len":11442688}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":178792,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11442688,"output_witness_len":1441792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":24772032}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":193532,"positions_per_block":2048,"live_blocks":95},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4085,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":24772032,"output_witness_len":2943104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45986,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2943104,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":64,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":185024}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":2891,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34368}},"input_witness_len":185024} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":137709440}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1438912}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268964,"positions_per_block":8192,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27692,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137709440,"output_witness_len":34262528}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":535352,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34262528,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5621,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1438912,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":102440064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":247680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":123840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":213580928}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":200079,"positions_per_block":4096,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":102440064,"output_witness_len":13411840}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209560,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13411840,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":417151,"positions_per_block":2048,"live_blocks":204},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":26112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":213580928,"output_witness_len":22647296}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":353864,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22647296,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":4571456}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5728128}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":35715,"positions_per_block":1024,"live_blocks":35},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4571456,"output_witness_len":1262976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19734,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1262976,"output_witness_len":616960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44751,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5728128,"output_witness_len":1436352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22443,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1436352,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7478144}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2466176}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14606,"positions_per_block":512,"live_blocks":29},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7478144,"output_witness_len":1858688}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29042,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1858688,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9634,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2466176,"output_witness_len":889728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13902,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889728,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7588224}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":49408448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14821,"positions_per_block":512,"live_blocks":29},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7588224,"output_witness_len":1858688}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29042,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1858688,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":96501,"positions_per_block":4096,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":49408448,"output_witness_len":17121792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":267528,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17121792,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8578944}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1210880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1210880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":924458048}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16756,"positions_per_block":512,"live_blocks":33},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8578944,"output_witness_len":1957760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30590,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1957760,"output_witness_len":782080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7222329,"positions_per_block":16384,"live_blocks":441},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56889,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":125990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":924458048,"output_witness_len":74073600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1157400,"positions_per_block":8192,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17114,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74073600,"output_witness_len":22786624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356041,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22786624,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16802496}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14237120}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32818,"positions_per_block":512,"live_blocks":65},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16802496,"output_witness_len":2794112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43658,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2794112,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":111228,"positions_per_block":2048,"live_blocks":55},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2365,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14237120,"output_witness_len":2172544}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33946,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2172544,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":1024,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":5403072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":27934592}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42212,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5403072,"output_witness_len":1397824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1120448}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4377,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1120448,"output_witness_len":592576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9259,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":592576,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":54560,"positions_per_block":1024,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27934592,"output_witness_len":6665728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104152,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6665728,"output_witness_len":1104896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":67424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":67424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":72526272}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":123840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":123840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":146515840}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":4,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":566612,"positions_per_block":4096,"live_blocks":139},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35862,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":72526272,"output_witness_len":13892608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":217072,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13892608,"output_witness_len":2094144}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":286164,"positions_per_block":8192,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28036,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":146515840,"output_witness_len":34350592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536728,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34350592,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1188864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1188864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":917412928}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2730368}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7167289,"positions_per_block":16384,"live_blocks":438},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56502,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":125732,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":917412928,"output_witness_len":74007552}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1156368,"positions_per_block":8192,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17114,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74007552,"output_witness_len":22786624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356041,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22786624,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10666,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2730368,"output_witness_len":1040768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16262,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1040768,"output_witness_len":290816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":143104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":143104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":225953664}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":39,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1073741824,"positions_per_block":262144,"live_blocks":4096},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":549755813888,"output_witness_len":762420352}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":441316,"positions_per_block":2048,"live_blocks":216},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":225953664,"output_witness_len":22893056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":357704,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22893056,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1489103,"positions_per_block":4096,"live_blocks":364},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":46592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":762420352,"output_witness_len":44274176}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":691784,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44274176,"output_witness_len":2824192}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":506368,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":506368,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":659769216}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":522209152}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1288612,"positions_per_block":16384,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13588,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57620,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":659769216,"output_witness_len":68924928}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1076952,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68924928,"output_witness_len":4664576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1019940,"positions_per_block":8192,"live_blocks":125},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":21500,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":65532,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":522209152,"output_witness_len":54173184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":846456,"positions_per_block":8192,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54173184,"output_witness_len":4125184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64456,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1536645908,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4125184,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":275200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":275200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":444712832}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":93568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":93568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":121150592}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":868580,"positions_per_block":8192,"live_blocks":107},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":444712832,"output_witness_len":26908160}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420440,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26908160,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":236623,"positions_per_block":4096,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121150592,"output_witness_len":26941952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420968,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26941952,"output_witness_len":3057344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47771,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3057344,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3500416}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":242176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":121088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":211819648}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13674,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3500416,"output_witness_len":1090304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":413711,"positions_per_block":2048,"live_blocks":203},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":211819648,"output_witness_len":22626816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":353544,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22626816,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":15824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":13444544}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6113408}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":105036,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2236,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13444544,"output_witness_len":2114752}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33043,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7095,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2114752,"output_witness_len":831616}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12994,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":831616,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11941,"positions_per_block":256,"live_blocks":47},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6113408,"output_witness_len":1824000}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28500,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1824000,"output_witness_len":749056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6223488}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18629568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12156,"positions_per_block":256,"live_blocks":48},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6223488,"output_witness_len":1848768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28887,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1848768,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36386,"positions_per_block":512,"live_blocks":72},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18629568,"output_witness_len":2967488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46367,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2967488,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":192640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":192640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":190547840}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":39104960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":24657920},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":372164,"positions_per_block":2048,"live_blocks":182},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":23296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":190547840,"output_witness_len":22196736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":346824,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22196736,"output_witness_len":2037760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":76377,"positions_per_block":4096,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":39104960,"output_witness_len":14804480}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231320,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14804480,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3676544}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1604032}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14362,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3676544,"output_witness_len":1194880}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18670,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4085,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":817,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1194880,"output_witness_len":600448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9382,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":600448,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6266,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1604032,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":508118912}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2168960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":992420,"positions_per_block":8192,"live_blocks":122},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":65016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":508118912,"output_witness_len":54041088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":844392,"positions_per_block":8192,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54041088,"output_witness_len":4125184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64456,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1536645908,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4125184,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8473,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2168960,"output_witness_len":845696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18431424}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":52288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":52288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":63807936}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":35999,"positions_per_block":512,"live_blocks":71},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3053,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18431424,"output_witness_len":2942720}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45980,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2942720,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":249250,"positions_per_block":2048,"live_blocks":122},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16000,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":63807936,"output_witness_len":11006464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":171976,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11006464,"output_witness_len":1413120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":418304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":418304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":603408256}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":37,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268435456,"positions_per_block":65536,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137438953472,"output_witness_len":247089024}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1178532,"positions_per_block":16384,"live_blocks":72},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":603408256,"output_witness_len":68616704}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1072136,"positions_per_block":8192,"live_blocks":131},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33798,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5633,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68616704,"output_witness_len":4645312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72583,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1775499422,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4645312,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":482596,"positions_per_block":2048,"live_blocks":236},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":30208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15744,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247089024,"output_witness_len":23302656}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":364104,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23302656,"output_witness_len":2095104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1012736,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1012736,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":925872640}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":140352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":140352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":157083520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1808345,"positions_per_block":4096,"live_blocks":442},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":56576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":925872640,"output_witness_len":45871616}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":716744,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45871616,"output_witness_len":2867200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":17965056},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":306804,"positions_per_block":2048,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":157083520,"output_witness_len":20695552}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323368,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20695552,"output_witness_len":1951744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":594432,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":594432,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":716130176}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":605440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":605440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":723175296}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":76087296},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1398692,"positions_per_block":4096,"live_blocks":342},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":43776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":716130176,"output_witness_len":43823616}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":684744,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43823616,"output_witness_len":2809856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":77496320},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1412452,"positions_per_block":4096,"live_blocks":345},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":44160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":723175296,"output_witness_len":43885056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":685704,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43885056,"output_witness_len":2809856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1356352}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1560768}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5299,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1356352,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6097,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1560768,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":43860416}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":373901184}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":85665,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43860416,"output_witness_len":16989696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":47906816},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":730276,"positions_per_block":8192,"live_blocks":90},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":373901184,"output_witness_len":26525184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":414456,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26525184,"output_witness_len":2119936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":48160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":48160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":61430208}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":256,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":717760}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":239962,"positions_per_block":2048,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15744,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":61430208,"output_witness_len":10924544}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":170696,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10924544,"output_witness_len":1413120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2804,"positions_per_block":256,"live_blocks":11},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":717760,"output_witness_len":439936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6874,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":439936,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":390408665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":66185664}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18827712}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":258538,"positions_per_block":2048,"live_blocks":127},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":66185664,"output_witness_len":11108864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":173576,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11108864,"output_witness_len":1427456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22304,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1968918844,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1427456,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36773,"positions_per_block":512,"live_blocks":72},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18827712,"output_witness_len":2967488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46367,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2967488,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3192192}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":70176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":70176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":112170880}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12470,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3192192,"output_witness_len":1073792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":219084,"positions_per_block":4096,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":112170880,"output_witness_len":13524480}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211320,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13524480,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":1354688}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":792576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":790600832}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5292,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1354688,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":36464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":54693312}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":213646,"positions_per_block":2048,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54693312,"output_witness_len":10658304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":166536,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10658304,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1544143,"positions_per_block":4096,"live_blocks":377},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":48256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":790600832,"output_witness_len":44540416}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":695944,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44540416,"output_witness_len":2824192}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":517376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":517376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":666814336}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":68800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":68800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":111290240}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1302372,"positions_per_block":16384,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":666814336,"output_witness_len":68968960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1077640,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68968960,"output_witness_len":4664576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":217364,"positions_per_block":4096,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":111290240,"output_witness_len":13524480}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211320,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13524480,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7698304}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":128,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":289216}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15036,"positions_per_block":512,"live_blocks":30},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7698304,"output_witness_len":1883456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29429,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1883456,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1130,"positions_per_block":128,"live_blocks":9},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":126852}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289216,"output_witness_len":205632}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3213,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":205632,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2437863582,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7368064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16243584}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14391,"positions_per_block":512,"live_blocks":29},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7368064,"output_witness_len":1858688}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29042,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1858688,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31726,"positions_per_block":512,"live_blocks":62},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2666,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16243584,"output_witness_len":2719808}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42497,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2719808,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":307653711,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2598272}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":858624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":858624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":866693632}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10150,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2598272,"output_witness_len":911744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14246,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":911744,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1692761,"positions_per_block":4096,"live_blocks":414},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":52992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":866693632,"output_witness_len":45298176}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":707784,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45298176,"output_witness_len":2852864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":143104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":143104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":158844800}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3456384}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":18317312},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":310244,"positions_per_block":2048,"live_blocks":152},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":158844800,"output_witness_len":20732416}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323944,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20732416,"output_witness_len":1966080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13502,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3456384,"output_witness_len":1090304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":27934592}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2697344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":54560,"positions_per_block":1024,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27934592,"output_witness_len":6665728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104152,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6665728,"output_witness_len":1104896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10537,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2697344,"output_witness_len":1040768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16262,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1040768,"output_witness_len":290816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":121088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":121088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":144754560}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":16384,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":59052480}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":282724,"positions_per_block":8192,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28036,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":144754560,"output_witness_len":34350592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536728,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34350592,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230674,"positions_per_block":2048,"live_blocks":113},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":14464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":59052480,"output_witness_len":10822144}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":169096,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10822144,"output_witness_len":1413120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":36300672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":214656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":214656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":271746944}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":70900,"positions_per_block":1024,"live_blocks":70},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":36300672,"output_witness_len":6985216}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":109144,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6985216,"output_witness_len":1144832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":530756,"positions_per_block":2048,"live_blocks":260},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":271746944,"output_witness_len":22753792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355528,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22753792,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":32768,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":117980288}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14190,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5372992}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230431,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":117980288,"output_witness_len":26897920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420280,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26897920,"output_witness_len":3057344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47771,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3057344,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41977,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5372992,"output_witness_len":1378560}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11264960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1147968}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":88008,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11264960,"output_witness_len":1930432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30163,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1930432,"output_witness_len":782080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4485,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1147968,"output_witness_len":592576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9259,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":592576,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":107328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":101559424}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3236224}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":198359,"positions_per_block":4096,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":101559424,"output_witness_len":13411840}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209560,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13411840,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12642,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3236224,"output_witness_len":1073792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1166848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1166848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":910367808}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2499200}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7112249,"positions_per_block":16384,"live_blocks":435},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56115,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":125474,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":910367808,"output_witness_len":73941504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1155336,"positions_per_block":8192,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17114,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73941504,"output_witness_len":22786624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356041,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22786624,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9763,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2499200,"output_witness_len":911744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14246,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":911744,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":258688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":299927424}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":198144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":261179264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":585796,"positions_per_block":2048,"live_blocks":287},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":18432,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":17376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":299927424,"output_witness_len":23251456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":363304,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23251456,"output_witness_len":2095104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":510116,"positions_per_block":2048,"live_blocks":250},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32000,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":261179264,"output_witness_len":22548992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":352328,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22548992,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":39104960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37123520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":76377,"positions_per_block":4096,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":39104960,"output_witness_len":14804480}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231320,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14804480,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72507,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37123520,"output_witness_len":14760448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":275269504}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":537636,"positions_per_block":2048,"live_blocks":263},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275269504,"output_witness_len":22809088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356392,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22809088,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":151360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":151360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":231237504}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1368128}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":451636,"positions_per_block":2048,"live_blocks":221},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":231237504,"output_witness_len":22995456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":359304,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22995456,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5345,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1368128,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1056768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1056768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":875142208}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":495360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":495360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":652724096}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6837049,"positions_per_block":16384,"live_blocks":418},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53922,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":124012,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":875142208,"output_witness_len":73567232}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1149488,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73567232,"output_witness_len":22767360}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1274852,"positions_per_block":16384,"live_blocks":78},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":652724096,"output_witness_len":68880896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1076264,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68880896,"output_witness_len":4664576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1769152}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":67424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":67424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":110409600}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6911,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1769152,"output_witness_len":686080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":215644,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":110409600,"output_witness_len":13501952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210968,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13501952,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":256,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":497600}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":517376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":258688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":434101376}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1944,"positions_per_block":256,"live_blocks":8},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":497600,"output_witness_len":390400}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6100,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":390400,"output_witness_len":270336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4224,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":343027397,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270336,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":847855,"positions_per_block":8192,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":434101376,"output_witness_len":26840576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":419384,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26840576,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3720576}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1497920}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14534,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3720576,"output_witness_len":1194880}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18670,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4085,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":817,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1194880,"output_witness_len":600448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9382,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":600448,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5852,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1497920,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":418304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":418304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":402081664}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":145856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":145856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":227714944}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":53542912},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":785316,"positions_per_block":8192,"live_blocks":96},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":402081664,"output_witness_len":26660352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":416568,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26660352,"output_witness_len":2119936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":444756,"positions_per_block":2048,"live_blocks":218},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27904,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":227714944,"output_witness_len":22934016}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358344,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22934016,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1034752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1034752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":934326784}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1993280}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1824857,"positions_per_block":4096,"live_blocks":446},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":57088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":934326784,"output_witness_len":45953536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":718024,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45953536,"output_witness_len":2867200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31145,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1993280,"output_witness_len":835712}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13058,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":835712,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3280256}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37621632}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12814,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3280256,"output_witness_len":1073792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":73480,"positions_per_block":1024,"live_blocks":72},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37621632,"output_witness_len":7025152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":109768,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7025152,"output_witness_len":1144832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7037824}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1415360}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13746,"positions_per_block":512,"live_blocks":27},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7037824,"output_witness_len":1809152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28268,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1809152,"output_witness_len":749056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5529,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1415360,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6278528}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3126656}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12263,"positions_per_block":256,"live_blocks":48},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6278528,"output_witness_len":1848768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28887,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1848768,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12214,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3126656,"output_witness_len":1035328}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16177,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1035328,"output_witness_len":290816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":512,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":2769344}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13932,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5295936}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43271,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2769344,"output_witness_len":1033856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16154,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1033856,"output_witness_len":290816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41375,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5295936,"output_witness_len":1378560}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17396928}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2334080}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33979,"positions_per_block":512,"live_blocks":67},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2881,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17396928,"output_witness_len":2843648}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44432,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2843648,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9118,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2334080,"output_witness_len":845760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2730368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":96320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":96320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":122735744}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10666,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2730368,"output_witness_len":1040768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16262,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1040768,"output_witness_len":290816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":239719,"positions_per_block":4096,"live_blocks":59},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":122735744,"output_witness_len":26985984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421656,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26985984,"output_witness_len":3057344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47771,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3057344,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":19025856}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":154112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":232998784}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37160,"positions_per_block":512,"live_blocks":73},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19025856,"output_witness_len":2992256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46754,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2992256,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":455076,"positions_per_block":2048,"live_blocks":223},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":232998784,"output_witness_len":23036416}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":359944,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23036416,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":32778112}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3720576}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64020,"positions_per_block":1024,"live_blocks":63},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6604,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32778112,"output_witness_len":6845440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106960,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6845440,"output_witness_len":1131520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14534,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3720576,"output_witness_len":1194880}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18670,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4085,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":817,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1194880,"output_witness_len":600448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9382,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":600448,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37519808}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":24772032}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":73281,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37519808,"output_witness_len":14760448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":193532,"positions_per_block":2048,"live_blocks":95},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4085,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":24772032,"output_witness_len":2943104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45986,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2943104,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":247680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":123840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":213580928}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":65393088}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":417151,"positions_per_block":2048,"live_blocks":204},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":26112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":213580928,"output_witness_len":22647296}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":353864,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22647296,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":255442,"positions_per_block":2048,"live_blocks":125},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16000,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65393088,"output_witness_len":11067904}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":172936,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11067904,"output_witness_len":1427456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22304,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1968918844,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1427456,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":512,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":914368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":51786176}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3572,"positions_per_block":256,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914368,"output_witness_len":489472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7648,"positions_per_block":1024,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":489472,"output_witness_len":235520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3680,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":981051865,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235520,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":101145,"positions_per_block":4096,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":51786176,"output_witness_len":17165824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268216,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17165824,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":308224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":308224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":465848192}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3632512}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":909860,"positions_per_block":8192,"live_blocks":112},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":465848192,"output_witness_len":27020800}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":422200,"positions_per_block":4096,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27020800,"output_witness_len":2145280}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33520,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47689245933,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2145280,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14190,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3632512,"output_witness_len":1090304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":814592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":814592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":849785344}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1659072}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1659737,"positions_per_block":4096,"live_blocks":406},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":51968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":849785344,"output_witness_len":45134336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":705224,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45134336,"output_witness_len":2852864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6481,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1659072,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":76489152}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7368064}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":2,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":298786,"positions_per_block":2048,"live_blocks":146},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23564,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":76489152,"output_witness_len":14866944}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":232296,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14866944,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14391,"positions_per_block":512,"live_blocks":29},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7368064,"output_witness_len":1858688}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29042,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1858688,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":8192,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":31016832}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":484352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":242176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":423533696}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":60580,"positions_per_block":1024,"live_blocks":60},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":31016832,"output_witness_len":6785536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106024,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6785536,"output_witness_len":1118208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":827215,"positions_per_block":8192,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":423533696,"output_witness_len":26772992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":418328,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26772992,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":112832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":103320704}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":33218432}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":201799,"positions_per_block":4096,"live_blocks":50},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":103320704,"output_witness_len":13434368}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209912,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13434368,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64880,"positions_per_block":1024,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33218432,"output_witness_len":6865408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107272,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6865408,"output_witness_len":1131520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":924672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":924672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":892056064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":968704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":968704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":908964352}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1742297,"positions_per_block":4096,"live_blocks":426},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":54528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":892056064,"output_witness_len":45543936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":711624,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45543936,"output_witness_len":2852864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1775321,"positions_per_block":4096,"live_blocks":434},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":55552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":908964352,"output_witness_len":45707776}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":714184,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45707776,"output_witness_len":2867200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":25960896}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":202820,"positions_per_block":2048,"live_blocks":100},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25960896,"output_witness_len":3061312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47833,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3061312,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32768,"output_witness_len":127488}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":996,"positions_per_block":256,"live_blocks":4},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":31620}}}},"fold":{"log_basis":4,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"response_shape":{"layout":{"ring_dimension":128,"groups":[{"z_coords":32768,"e_field_elems":384,"t_field_elems":768,"z_linf_cap":103,"z_rice_low_bits":4,"z_payload_bytes":32768}],"logical_num_elems":33920}},"input_witness_len":127488} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":506368,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":253184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":430578816}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5464960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":840975,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":430578816,"output_witness_len":26818048}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":419032,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26818048,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42695,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5464960,"output_witness_len":1397824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":54297024}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":32768,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":117980288}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212098,"positions_per_block":2048,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54297024,"output_witness_len":10637824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":166216,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10637824,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230431,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":117980288,"output_witness_len":26897920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420280,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26897920,"output_witness_len":3057344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47771,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3057344,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":123840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":123840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":146515840}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1663040}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":286164,"positions_per_block":8192,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28036,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":146515840,"output_witness_len":34350592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536728,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34350592,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6497,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1663040,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18233280}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":26357184}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":35612,"positions_per_block":512,"live_blocks":70},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18233280,"output_witness_len":2917952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45593,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2917952,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8799104}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17186,"positions_per_block":512,"live_blocks":34},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8799104,"output_witness_len":1982528}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30977,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1982528,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":99072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":99072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":130664320}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":255204,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":130664320,"output_witness_len":34218496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":534664,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34218496,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205916,"positions_per_block":2048,"live_blocks":101},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4343,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26357184,"output_witness_len":3080576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":48134,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3080576,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":36740992}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":71760,"positions_per_block":1024,"live_blocks":71},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":36740992,"output_witness_len":7005184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":109456,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7005184,"output_witness_len":1144832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":54163904}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2201984}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":105789,"positions_per_block":4096,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54163904,"output_witness_len":17209856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268904,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17209856,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8602,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2201984,"output_witness_len":845696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":55882176}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":48160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":48160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":61430208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":218290,"positions_per_block":2048,"live_blocks":107},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":55882176,"output_witness_len":10699264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":167176,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10699264,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":239962,"positions_per_block":2048,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15744,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":61430208,"output_witness_len":10924544}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":170696,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10924544,"output_witness_len":1413120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":13642688}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":107328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":107328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":135948160}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106584,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6966,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13642688,"output_witness_len":2134016}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33344,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7095,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2134016,"output_witness_len":831616}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12994,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":831616,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265524,"positions_per_block":8192,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27692,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":135948160,"output_witness_len":34262528}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":535352,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34262528,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":902656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":902656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":883601920}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":22790592}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1725785,"positions_per_block":4096,"live_blocks":422},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":54016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":883601920,"output_witness_len":45462016}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":710344,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45462016,"output_witness_len":2852864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44513,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22790592,"output_witness_len":3256896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":50889,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3256896,"output_witness_len":1030464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16101,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":343351927,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1030464,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":27149760}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":21998016}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212108,"positions_per_block":2048,"live_blocks":104},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27149760,"output_witness_len":3138368}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49037,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3138368,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42965,"positions_per_block":512,"live_blocks":84},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21998016,"output_witness_len":3264704}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":51011,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3264704,"output_witness_len":1030464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16101,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":347246277,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1030464,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1604032}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":458803072}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6266,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1604032,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":896100,"positions_per_block":8192,"live_blocks":110},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":458803072,"output_witness_len":26975744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421496,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26975744,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47315388259,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":16384,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":90064768}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":302720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":302720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":462325632}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":11272192},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":175908,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":90064768,"output_witness_len":13276672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":207448,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13276672,"output_witness_len":1473664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":902980,"positions_per_block":8192,"live_blocks":111},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":462325632,"output_witness_len":26998272}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421848,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26998272,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47315388259,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5287808}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5357888}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41311,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5287808,"output_witness_len":1378560}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41859,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5357888,"output_witness_len":1378560}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1175488}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":35420032}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4592,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1175488,"output_witness_len":592576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9259,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":592576,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":69180,"positions_per_block":1024,"live_blocks":68},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":35420032,"output_witness_len":6945280}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":108520,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6945280,"output_witness_len":1131520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":49408448}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":96501,"positions_per_block":4096,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":49408448,"output_witness_len":17121792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":267528,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17121792,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5218880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1493952}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":40773,"positions_per_block":1024,"live_blocks":40},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5218880,"output_witness_len":1359296}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21239,"positions_per_block":1024,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1359296,"output_witness_len":633472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9898,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":633472,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5836,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1493952,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1246272}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":137600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":137600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":155322240}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4869,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1246272,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":17612800},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":303364,"positions_per_block":2048,"live_blocks":149},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":155322240,"output_witness_len":20677120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323080,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20677120,"output_witness_len":1951744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11463104}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7257984}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":89556,"positions_per_block":2048,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11463104,"output_witness_len":1949696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30464,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1949696,"output_witness_len":782080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14176,"positions_per_block":512,"live_blocks":28},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7257984,"output_witness_len":1833920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28655,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1833920,"output_witness_len":749056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5838208}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":264192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":264192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":437667712}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11403,"positions_per_block":256,"live_blocks":45},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5838208,"output_witness_len":1774464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27726,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1774464,"output_witness_len":749056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":854820,"positions_per_block":8192,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":437667712,"output_witness_len":26863104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":419736,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26863104,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":187136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":187136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":254134144}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":451328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":225664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":412966016}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":496356,"positions_per_block":2048,"live_blocks":243},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":31104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":254134144,"output_witness_len":22419968}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":350312,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22419968,"output_witness_len":2052096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":806575,"positions_per_block":8192,"live_blocks":99},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":412966016,"output_witness_len":26727936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":417624,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26727936,"output_witness_len":2119936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":50201024}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":126592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":107723904}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":98049,"positions_per_block":4096,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":50201024,"output_witness_len":17121792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":267528,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17121792,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210399,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":107723904,"output_witness_len":13479424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210616,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13479424,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16384,"output_witness_len":116608}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1822,"positions_per_block":512,"live_blocks":4},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":256,"t_field_elems":1024,"z_linf_cap":155,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34048}},"input_witness_len":116608} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14592384}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":114003,"positions_per_block":2048,"live_blocks":56},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14592384,"output_witness_len":2191808}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34247,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2191808,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16406208}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":484352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":484352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":645678976}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32044,"positions_per_block":512,"live_blocks":63},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2709,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16406208,"output_witness_len":2744576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42884,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2744576,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1261092,"positions_per_block":16384,"live_blocks":77},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":645678976,"output_witness_len":68836864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1075576,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68836864,"output_witness_len":4664576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":836608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":836608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":858239488}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8248704}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1676249,"positions_per_block":4096,"live_blocks":410},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":52480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":858239488,"output_witness_len":45216256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":706504,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45216256,"output_witness_len":2852864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16111,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8248704,"output_witness_len":1932992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30203,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1932992,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1525440}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":52578752}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5959,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1525440,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":102693,"positions_per_block":4096,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":52578752,"output_witness_len":17209856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268904,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17209856,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":495360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":495360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":652724096}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":52711872}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1274852,"positions_per_block":16384,"live_blocks":78},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":652724096,"output_witness_len":68880896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1076264,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68880896,"output_witness_len":4664576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":12,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4096,"output_witness_len":104320}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1630,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":448,"t_field_elems":1792,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18624}},"input_witness_len":104320} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2268032}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8860,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2268032,"output_witness_len":845760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":748544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":776510592}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1516623,"positions_per_block":4096,"live_blocks":371},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":47488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":776510592,"output_witness_len":44417536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":694024,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44417536,"output_witness_len":2824192}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":45445568}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":88761,"positions_per_block":4096,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45445568,"output_witness_len":17033728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266152,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17033728,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16009920}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31270,"positions_per_block":512,"live_blocks":62},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2666,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16009920,"output_witness_len":2719808}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42497,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2719808,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":307653711,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205906,"positions_per_block":2048,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":12928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":52711872,"output_witness_len":10576384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165256,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10576384,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":66978240}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":29035392}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":261634,"positions_per_block":2048,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":66978240,"output_witness_len":11129344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":173896,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11129344,"output_witness_len":1427456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22304,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1968918844,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1427456,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":56710,"positions_per_block":1024,"live_blocks":56},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":29035392,"output_witness_len":6705664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104776,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6705664,"output_witness_len":1118208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12642,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":4648512}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1383872}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36317,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4648512,"output_witness_len":1282240}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":20035,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1282240,"output_witness_len":616960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5406,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1383872,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1855680}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2433152}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7249,"positions_per_block":512,"live_blocks":15},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1855680,"output_witness_len":702592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10978,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":702592,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9505,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2433152,"output_witness_len":889728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13902,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889728,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":34099072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":28815232}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":66600,"positions_per_block":1024,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34099072,"output_witness_len":6905344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107896,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6905344,"output_witness_len":1131520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":56280,"positions_per_block":1024,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6188,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":28815232,"output_witness_len":6685696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104464,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6685696,"output_witness_len":1118208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":26753472}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":418304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":418304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":603408256}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209012,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26753472,"output_witness_len":3119104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":48736,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3119104,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1178532,"positions_per_block":16384,"live_blocks":72},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":603408256,"output_witness_len":68616704}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1072136,"positions_per_block":8192,"live_blocks":131},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33798,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5633,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68616704,"output_witness_len":4645312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72583,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1775499422,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4645312,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":26357184}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":112832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":112832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":139470720}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205916,"positions_per_block":2048,"live_blocks":101},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4343,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26357184,"output_witness_len":3080576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":48134,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3080576,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":272404,"positions_per_block":8192,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":139470720,"output_witness_len":34306560}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536040,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34306560,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":129,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":86,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8192,"output_witness_len":86400}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1350,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":182,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18304}},"input_witness_len":86400} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2697344}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":15824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":13444544}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10537,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2697344,"output_witness_len":1040768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16262,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1040768,"output_witness_len":290816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":105036,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2236,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13444544,"output_witness_len":2114752}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33043,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7095,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2114752,"output_witness_len":831616}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12994,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":831616,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1714112}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1670848}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6696,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1714112,"output_witness_len":686080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6527,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1670848,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":134848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":134848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":220669824}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1635520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":430996,"positions_per_block":2048,"live_blocks":211},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":220669824,"output_witness_len":22790656}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356104,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22790656,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6389,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1635520,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":128,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":289216}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":112832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":103320704}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1130,"positions_per_block":128,"live_blocks":9},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":126852}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289216,"output_witness_len":205632}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3213,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":205632,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2437863582,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":201799,"positions_per_block":4096,"live_blocks":50},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":103320704,"output_witness_len":13434368}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209912,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13434368,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":256,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":497600}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1714112}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1944,"positions_per_block":256,"live_blocks":8},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":497600,"output_witness_len":390400}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6100,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":390400,"output_witness_len":270336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4224,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":343027397,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270336,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6696,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1714112,"output_witness_len":686080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -2983,251 +2772,251 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1092928}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3500416}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4270,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1092928,"output_witness_len":592576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9259,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":592576,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13674,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3500416,"output_witness_len":1090304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1078784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1078784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":882187328}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":38,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":536870912,"positions_per_block":131072,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":274877906944,"output_witness_len":494028672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6892089,"positions_per_block":16384,"live_blocks":421},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":54309,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":124270,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":882187328,"output_witness_len":73633280}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1150520,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73633280,"output_witness_len":22767360}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":964900,"positions_per_block":8192,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":494028672,"output_witness_len":53864960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":841640,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53864960,"output_witness_len":4105920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64155,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1535347791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4105920,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5948288}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1466432}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11618,"positions_per_block":256,"live_blocks":46},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5948288,"output_witness_len":1799232}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28113,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1799232,"output_witness_len":749056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5729,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1466432,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1910720}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2235008}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7464,"positions_per_block":512,"live_blocks":15},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1910720,"output_witness_len":702592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10978,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":702592,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8731,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2235008,"output_witness_len":845760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":484352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":484352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":645678976}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8578944}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1261092,"positions_per_block":16384,"live_blocks":77},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":645678976,"output_witness_len":68836864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1075576,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68836864,"output_witness_len":4664576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16756,"positions_per_block":512,"live_blocks":33},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8578944,"output_witness_len":1957760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30590,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1957760,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1450688}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5667,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1450688,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1273792}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":104576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":104576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":134186880}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4976,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1273792,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262084,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134186880,"output_witness_len":34218496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":534664,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34218496,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":96320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":96320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":95348608}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":77056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":77056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":83019648}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":12328960},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":186228,"positions_per_block":4096,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":95348608,"output_witness_len":13344256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208504,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13344256,"output_witness_len":1473664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28124027668,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":9863168},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":162148,"positions_per_block":4096,"live_blocks":40},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":83019648,"output_witness_len":13209088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":206392,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13209088,"output_witness_len":1473664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":128,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":289216}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1965760}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1130,"positions_per_block":128,"live_blocks":9},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":126852}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289216,"output_witness_len":205632}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3213,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":205632,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2437863582,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30715,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1965760,"output_witness_len":819200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12800,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":819200,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":75680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":75680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":115693440}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":76489152}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":225964,"positions_per_block":4096,"live_blocks":56},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":115693440,"output_witness_len":13569536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212024,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13569536,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":2,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":298786,"positions_per_block":4096,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":76489152,"output_witness_len":14944000}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":233500,"positions_per_block":4096,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14964,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14944000,"output_witness_len":2190464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34226,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2190464,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1368128}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":46784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":60637632}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5345,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1368128,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":236866,"positions_per_block":2048,"live_blocks":116},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":14848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":60637632,"output_witness_len":10883584}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":170056,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10883584,"output_witness_len":1413120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1470400}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1478208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5744,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1470400,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5775,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1478208,"output_witness_len":642112}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":137600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":137600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":222431104}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":429312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":214656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":405920896}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":434436,"positions_per_block":2048,"live_blocks":213},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222431104,"output_witness_len":22831616}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356744,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22831616,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":792815,"positions_per_block":8192,"live_blocks":97},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":405920896,"output_witness_len":26682880}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":416920,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26682880,"output_witness_len":2119936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":86,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16384,"output_witness_len":111040}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1735,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":448,"t_field_elems":1792,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18624}},"input_witness_len":111040} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3192192}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12470,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3192192,"output_witness_len":1073792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14702464}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":24080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":22394304}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":114863,"positions_per_block":2048,"live_blocks":57},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7482,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14702464,"output_witness_len":2211072}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34548,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2211072,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43739,"positions_per_block":512,"live_blocks":86},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22394304,"output_witness_len":3270464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":51101,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3270464,"output_witness_len":1030464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16101,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":347246277,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1030464,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1552960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":53108160}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6067,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1552960,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":207454,"positions_per_block":2048,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53108160,"output_witness_len":10596864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165576,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10596864,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":93568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":93568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":93587328}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5563008}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":11976704},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":182788,"positions_per_block":4096,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":93587328,"output_witness_len":13321728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208152,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13321728,"output_witness_len":1473664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43461,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5563008,"output_witness_len":1417088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22142,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1417088,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":28595072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1034752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1034752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":934326784}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55850,"positions_per_block":1024,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6188,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":28595072,"output_witness_len":6685696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104464,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6685696,"output_witness_len":1118208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1824857,"positions_per_block":4096,"live_blocks":446},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":57088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":934326784,"output_witness_len":45953536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":718024,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45953536,"output_witness_len":2867200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1533248}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":539392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":539392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":680904576}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5990,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1533248,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":69042176},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1329892,"positions_per_block":4096,"live_blocks":325},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":41600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":680904576,"output_witness_len":43475456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":679304,"positions_per_block":8192,"live_blocks":83},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43475456,"output_witness_len":2795520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43680,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2795520,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":4096,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":21205440}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":4096,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":21205440}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41417,"positions_per_block":512,"live_blocks":81},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3483,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21205440,"output_witness_len":3190400}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49850,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3190400,"output_witness_len":1030464}, @@ -3235,3649 +3024,3860 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":34539392}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":209152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":209152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":268224384}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":67460,"positions_per_block":1024,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34539392,"output_witness_len":6905344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107896,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6905344,"output_witness_len":1131520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":523876,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268224384,"output_witness_len":22659584}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":354056,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22659584,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":47823296}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1631552}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":93405,"positions_per_block":4096,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":47823296,"output_witness_len":17077760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266840,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17077760,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6374,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1631552,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1466432}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1883200}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5729,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1466432,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7357,"positions_per_block":512,"live_blocks":15},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1883200,"output_witness_len":702592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10978,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":702592,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":247680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":247680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":292882304}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":28595072}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":572036,"positions_per_block":2048,"live_blocks":280},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":17152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":292882304,"output_witness_len":23122432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":361288,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23122432,"output_witness_len":2095104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55850,"positions_per_block":1024,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6188,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":28595072,"output_witness_len":6685696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104464,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6685696,"output_witness_len":1118208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":225664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":112832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":206535808}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":25564608}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":403391,"positions_per_block":2048,"live_blocks":197},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14496,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":206535808,"output_witness_len":22503936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351624,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22503936,"output_witness_len":2052096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":199724,"positions_per_block":2048,"live_blocks":98},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25564608,"output_witness_len":3022784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47231,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3022784,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":28374912}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":440320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":440320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":617498496}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55420,"positions_per_block":1024,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6188,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":28374912,"output_witness_len":6685696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104464,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6685696,"output_witness_len":1118208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1206052,"positions_per_block":16384,"live_blocks":74},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":617498496,"output_witness_len":68704768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1073512,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68704768,"output_witness_len":4664576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":269696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":269696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":441190272}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1203008}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":861700,"positions_per_block":8192,"live_blocks":106},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":441190272,"output_witness_len":26885632}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420088,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26885632,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4700,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1203008,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":148608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":148608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":229476224}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":429312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":429312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":610453376}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":448196,"positions_per_block":2048,"live_blocks":219},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":229476224,"output_witness_len":22954496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358664,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22954496,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1192292,"positions_per_block":16384,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12556,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56588,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":610453376,"output_witness_len":68660736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1072824,"positions_per_block":8192,"live_blocks":131},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33798,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5633,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68660736,"output_witness_len":4645312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72583,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1775499422,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4645312,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3368320}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37181312}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13158,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3368320,"output_witness_len":1073792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72620,"positions_per_block":1024,"live_blocks":71},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37181312,"output_witness_len":7005184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":109456,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7005184,"output_witness_len":1144832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3412352}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":134848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":134848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":153560960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13330,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3412352,"output_witness_len":1090304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":17260544},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":299924,"positions_per_block":2048,"live_blocks":147},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":18816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":153560960,"output_witness_len":20640256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":322504,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20640256,"output_witness_len":1951744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":253184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":126592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":215342208}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":16384,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":90064768}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420591,"positions_per_block":2048,"live_blocks":206},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":26368,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":215342208,"output_witness_len":22688256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":354504,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22688256,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":11272192},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":175908,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":90064768,"output_witness_len":13276672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":207448,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13276672,"output_witness_len":1473664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":225664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":225664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":278792064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":748544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":776510592}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":544516,"positions_per_block":2048,"live_blocks":266},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":278792064,"output_witness_len":22864384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":357256,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22864384,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1516623,"positions_per_block":4096,"live_blocks":371},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":47488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":776510592,"output_witness_len":44417536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":694024,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44417536,"output_witness_len":2824192}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17198784}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1698368}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33592,"positions_per_block":512,"live_blocks":66},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17198784,"output_witness_len":2818880}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44045,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2818880,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6635,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1698368,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2565248}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":1354688}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10021,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2565248,"output_witness_len":911744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14246,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":911744,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5292,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1354688,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":148608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":148608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":162367360}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":231168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":231168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":282314624}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":19021824},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":317124,"positions_per_block":2048,"live_blocks":155},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":162367360,"output_witness_len":20787712}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":324808,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20787712,"output_witness_len":1966080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":551396,"positions_per_block":2048,"live_blocks":270},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282314624,"output_witness_len":22938112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358408,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22938112,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16208064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18233280}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31657,"positions_per_block":512,"live_blocks":62},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2666,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16208064,"output_witness_len":2719808}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42497,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2719808,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":307653711,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":35612,"positions_per_block":512,"live_blocks":70},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18233280,"output_witness_len":2917952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45593,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2917952,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":48160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":48160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":44652992}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":13642688}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":87213,"positions_per_block":4096,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44652992,"output_witness_len":17033728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266152,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17033728,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106584,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6966,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13642688,"output_witness_len":2134016}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33344,"positions_per_block":1024,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7095,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1419,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2134016,"output_witness_len":831616}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12994,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":831616,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":101824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":101824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":98871168}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":256,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":497600}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":13033472},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":193108,"positions_per_block":4096,"live_blocks":48},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":98871168,"output_witness_len":13389312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209208,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13389312,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1944,"positions_per_block":256,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":497600,"output_witness_len":428992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6703,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":428992,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":389110548,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1690560}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1615808}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6604,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1690560,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6312,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1615808,"output_witness_len":669568}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6113408}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":583424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":583424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":709085056}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11941,"positions_per_block":256,"live_blocks":47},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6113408,"output_witness_len":1824000}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28500,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1824000,"output_witness_len":749056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":74678272},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1384932,"positions_per_block":4096,"live_blocks":339},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":43392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":709085056,"output_witness_len":43762176}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":683784,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43762176,"output_witness_len":2809856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":308224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":308224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":331630464}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1191232}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":39452672},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":647716,"positions_per_block":8192,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":331630464,"output_witness_len":26299904}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":410936,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26299904,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4654,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1191232,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":291712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":291712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":321062784}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":37339136},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":627076,"positions_per_block":8192,"live_blocks":77},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":321062784,"output_witness_len":26232320}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":409880,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26232320,"output_witness_len":2107264}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1686592}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1387840}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6589,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1686592,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5422,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1387840,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":225664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":112832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":206535808}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":403391,"positions_per_block":2048,"live_blocks":197},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14496,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":206535808,"output_witness_len":22503936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351624,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22503936,"output_witness_len":2052096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8138624}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15896,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8138624,"output_witness_len":1932992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30203,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1932992,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1232896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1232896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":931503168}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":36330944}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7277369,"positions_per_block":16384,"live_blocks":445},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":57405,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":126334,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":931503168,"output_witness_len":74161664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1158776,"positions_per_block":8192,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17114,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74161664,"output_witness_len":22786624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":70959,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":36330944,"output_witness_len":14760448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":115584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":115584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":141232000}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":275844,"positions_per_block":8192,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":141232000,"output_witness_len":34306560}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536040,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34306560,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":36,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":65536,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68719476736,"output_witness_len":247089024}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":482596,"positions_per_block":2048,"live_blocks":236},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":30208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15744,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247089024,"output_witness_len":23302656}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":364104,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23302656,"output_witness_len":2095104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1356352}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5299,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1356352,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":23583168}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":184244,"positions_per_block":2048,"live_blocks":90},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23583168,"output_witness_len":2846784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44481,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2846784,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":317714117,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":19025856}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37160,"positions_per_block":512,"live_blocks":73},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19025856,"output_witness_len":2992256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46754,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2992256,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1188864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1188864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":917412928}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7167289,"positions_per_block":16384,"live_blocks":438},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56502,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":125732,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":917412928,"output_witness_len":74007552}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1156368,"positions_per_block":8192,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17114,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74007552,"output_witness_len":22786624}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356041,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22786624,"output_witness_len":2749120}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":36,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":32768,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68719476736,"output_witness_len":179980160}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":291712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":291712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":455280512}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":22544384},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351524,"positions_per_block":2048,"live_blocks":172},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":179980160,"output_witness_len":21991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":343624,"positions_per_block":4096,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21991936,"output_witness_len":2023424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31616,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2994755742,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":3968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2023424,"output_witness_len":538624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8416,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":538624,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1091391804,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":889220,"positions_per_block":8192,"live_blocks":109},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32120,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455280512,"output_witness_len":26953216}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421144,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26953216,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1741632}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6804,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1741632,"output_witness_len":686080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":52288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":52288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":47030720}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":91857,"positions_per_block":4096,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":47030720,"output_witness_len":17077760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266840,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17077760,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9536960}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18627,"positions_per_block":512,"live_blocks":37},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1591,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9536960,"output_witness_len":2056832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32138,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056832,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1442880}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5637,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1442880,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":2048,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":10670528}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":1048576},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41682,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10670528,"output_witness_len":3875328}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":60552,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3875328,"output_witness_len":847872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13248,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":847872,"output_witness_len":380928}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5952,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":500748604,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380928,"output_witness_len":221184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3456,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":322582056,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":221184,"output_witness_len":123776}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1934,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":629586708,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":123776,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1636925440,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14831552}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":115872,"positions_per_block":2048,"live_blocks":57},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7482,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14831552,"output_witness_len":2211072}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34548,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2211072,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":225664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":225664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":278792064}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":544516,"positions_per_block":2048,"live_blocks":266},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":278792064,"output_witness_len":22864384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":357256,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22864384,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1273792}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4976,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1273792,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":32778112}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64020,"positions_per_block":1024,"live_blocks":63},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6604,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32778112,"output_witness_len":6845440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106960,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6845440,"output_witness_len":1131520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":34400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":36727232}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":71733,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":36727232,"output_witness_len":14760448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5218880}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":40773,"positions_per_block":1024,"live_blocks":40},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5218880,"output_witness_len":1359296}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21239,"positions_per_block":1024,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1359296,"output_witness_len":633472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9898,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":633472,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":114812800}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":224244,"positions_per_block":4096,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":114812800,"output_witness_len":13547008}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211672,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13547008,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16463744}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32156,"positions_per_block":512,"live_blocks":63},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2709,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16463744,"output_witness_len":2744576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42884,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2744576,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":34400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":53504448}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":54297024}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209002,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53504448,"output_witness_len":10617344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165896,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10617344,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212098,"positions_per_block":2048,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54297024,"output_witness_len":10637824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":166216,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10637824,"output_witness_len":1398784}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":154112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":232998784}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1643328}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":455076,"positions_per_block":2048,"live_blocks":223},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":232998784,"output_witness_len":23036416}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":359944,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23036416,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6420,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1643328,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2301056}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1144832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":903322688}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8989,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2301056,"output_witness_len":845760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7057209,"positions_per_block":16384,"live_blocks":431},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55599,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":125130,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":903322688,"output_witness_len":73853440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1153960,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73853440,"output_witness_len":22767360}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1191232}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3676544}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4654,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1191232,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14362,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3676544,"output_witness_len":1194880}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18670,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4085,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":817,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1194880,"output_witness_len":600448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9382,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":600448,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16243584}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31726,"positions_per_block":512,"live_blocks":62},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2666,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16243584,"output_witness_len":2719808}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42497,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2719808,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":307653711,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":74904000}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":990720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":990720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":917418496}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":5,"input_width":5632,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":585188,"positions_per_block":4096,"live_blocks":143},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36894,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11653,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74904000,"output_witness_len":13873920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":216780,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13873920,"output_witness_len":2094144}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1791833,"positions_per_block":4096,"live_blocks":438},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":56064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":917418496,"output_witness_len":45789696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":715464,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45789696,"output_witness_len":2867200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":16384,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":90064768}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":118336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":105081984}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":11272192},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":175908,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":90064768,"output_witness_len":13276672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":207448,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13276672,"output_witness_len":1473664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205239,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":105081984,"output_witness_len":13456896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3236224}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":148608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":148608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":162367360}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12642,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3236224,"output_witness_len":1073792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":19021824},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":317124,"positions_per_block":2048,"live_blocks":155},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":162367360,"output_witness_len":20787712}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":324808,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20787712,"output_witness_len":1966080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":264192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":264192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":303449984}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":34400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":53504448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":33816576},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":592676,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":303449984,"output_witness_len":26142208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":408472,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26142208,"output_witness_len":2094592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209002,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53504448,"output_witness_len":10617344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165896,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10617344,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":107328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":107328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":135948160}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":33658752}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265524,"positions_per_block":8192,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27692,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":135948160,"output_witness_len":34262528}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":535352,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34262528,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65740,"positions_per_block":1024,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33658752,"output_witness_len":6885376}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107584,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6885376,"output_witness_len":1131520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":38,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536870912,"positions_per_block":65536,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":274877906944,"output_witness_len":359810944}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":247680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":247680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":292882304}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":45088768},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":702756,"positions_per_block":8192,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":359810944,"output_witness_len":26435072}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":413048,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26435072,"output_witness_len":2107264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":572036,"positions_per_block":2048,"live_blocks":280},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":17152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":292882304,"output_witness_len":23122432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":361288,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23122432,"output_witness_len":2095104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":256,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":717760}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1092928}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2804,"positions_per_block":256,"live_blocks":11},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":717760,"output_witness_len":439936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6874,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":439936,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":390408665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4270,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1092928,"output_witness_len":592576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9259,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":592576,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":24080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":22394304}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":2769344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43739,"positions_per_block":512,"live_blocks":86},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22394304,"output_witness_len":3270464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":51101,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3270464,"output_witness_len":1030464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16101,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":347246277,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1030464,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43271,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2769344,"output_witness_len":1033856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16154,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1033856,"output_witness_len":290816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17595072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5685120}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34366,"positions_per_block":512,"live_blocks":68},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17595072,"output_witness_len":2868416}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44819,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2868416,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44415,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5685120,"output_witness_len":1436352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22443,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1436352,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8909184}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":1024,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":5403072}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17401,"positions_per_block":512,"live_blocks":34},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8909184,"output_witness_len":1982528}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30977,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1982528,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42212,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5403072,"output_witness_len":1397824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":39,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1073741824,"positions_per_block":131072,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":549755813888,"output_witness_len":494028672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1122816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":896277568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":964900,"positions_per_block":8192,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":494028672,"output_witness_len":53864960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":841640,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53864960,"output_witness_len":4105920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64155,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1535347791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4105920,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7002169,"positions_per_block":16384,"live_blocks":428},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55212,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":124872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":896277568,"output_witness_len":73787392}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1152928,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73787392,"output_witness_len":22767360}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":253184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":253184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":296404864}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":101824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":101824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":98871168}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":578916,"positions_per_block":2048,"live_blocks":283},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":18176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":17248,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":296404864,"output_witness_len":23177728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":362152,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23177728,"output_witness_len":2095104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":13033472},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":193108,"positions_per_block":4096,"live_blocks":48},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":98871168,"output_witness_len":13389312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209208,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13389312,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1643328}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1690560}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6420,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1643328,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6604,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1690560,"output_witness_len":669568}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":31897472}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":62300,"positions_per_block":1024,"live_blocks":61},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6500,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":31897472,"output_witness_len":6805504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106336,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6805504,"output_witness_len":1118208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14435264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":16384,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":90064768}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":112776,"positions_per_block":2048,"live_blocks":56},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14435264,"output_witness_len":2191808}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34247,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2191808,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":11272192},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":175908,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":90064768,"output_witness_len":13276672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":207448,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13276672,"output_witness_len":1473664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1548992}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3544448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6051,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1548992,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13846,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3544448,"output_witness_len":1090304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9636032}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12850112}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18821,"positions_per_block":512,"live_blocks":37},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1591,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9636032,"output_witness_len":2056832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32138,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056832,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":100392,"positions_per_block":2048,"live_blocks":50},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2150,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12850112,"output_witness_len":2076224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32441,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2076224,"output_witness_len":815104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":37,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":268435456,"positions_per_block":65536,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137438953472,"output_witness_len":359810944}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16604352}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":45088768},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":702756,"positions_per_block":8192,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":359810944,"output_witness_len":26435072}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":413048,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26435072,"output_witness_len":2107264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32431,"positions_per_block":512,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16604352,"output_witness_len":2769344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43271,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2769344,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5507968}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43031,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5507968,"output_witness_len":1417088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22142,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1417088,"output_witness_len":649984}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5452928}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42601,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5452928,"output_witness_len":1397824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1411392}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":34539392}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5514,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1411392,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":67460,"positions_per_block":1024,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34539392,"output_witness_len":6905344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107896,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6905344,"output_witness_len":1131520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11066816}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":24375744}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":86460,"positions_per_block":2048,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11066816,"output_witness_len":1930432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30163,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1930432,"output_witness_len":782080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":190436,"positions_per_block":2048,"live_blocks":93},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12126,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3999,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":24375744,"output_witness_len":2904576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45384,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904576,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":52711872}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1796672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205906,"positions_per_block":2048,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":12928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":52711872,"output_witness_len":10576384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165256,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10576384,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28073,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1796672,"output_witness_len":786176}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12284,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":786176,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":51786176}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":214656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":107328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":203013248}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":101145,"positions_per_block":4096,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":51786176,"output_witness_len":17165824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268216,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17165824,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":396511,"positions_per_block":2048,"live_blocks":194},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":24832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":203013248,"output_witness_len":22442496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":350664,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22442496,"output_witness_len":2052096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":25168320}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":4096,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":21205440}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":196628,"positions_per_block":2048,"live_blocks":97},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4171,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25168320,"output_witness_len":3003520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46930,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3003520,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328099053,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41417,"positions_per_block":512,"live_blocks":81},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3483,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21205440,"output_witness_len":3190400}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49850,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3190400,"output_witness_len":1030464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16101,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":345948160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1030464,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1258048}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":40,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4294967296,"positions_per_block":524288,"live_blocks":8192},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1099511627776,"output_witness_len":987864128}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4915,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1258048,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7717689,"positions_per_block":16384,"live_blocks":472},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":128656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":987864128,"output_witness_len":74756096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1168064,"positions_per_block":8192,"live_blocks":143},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36894,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17157,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74756096,"output_witness_len":22805888}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356342,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22805888,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":129344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":129344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":150038400}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":77056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":77056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":116574080}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":293044,"positions_per_block":8192,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":150038400,"output_witness_len":34394624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":537416,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34394624,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":227684,"positions_per_block":4096,"live_blocks":56},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":116574080,"output_witness_len":13569536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212024,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13569536,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":900510208}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1773120}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1758809,"positions_per_block":4096,"live_blocks":430},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":900510208,"output_witness_len":45625856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":712904,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45625856,"output_witness_len":2867200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6927,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1773120,"output_witness_len":686080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":101824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":101824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":132425600}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":209152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":209152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":201115520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":258644,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":132425600,"output_witness_len":34218496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":534664,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34218496,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":26771456},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":392804,"positions_per_block":2048,"live_blocks":192},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":24576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":201115520,"output_witness_len":22401536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":350024,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22401536,"output_witness_len":2052096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":38708672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":900510208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":75603,"positions_per_block":4096,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":38708672,"output_witness_len":14804480}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231320,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14804480,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1758809,"positions_per_block":4096,"live_blocks":430},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":900510208,"output_witness_len":45625856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":712904,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45625856,"output_witness_len":2867200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":572416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":702039936}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":129344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":108604544}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":73269248},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1371172,"positions_per_block":4096,"live_blocks":335},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":42880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":702039936,"output_witness_len":43680256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":682504,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43680256,"output_witness_len":2809856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212119,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":108604544,"output_witness_len":13479424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210616,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13479424,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1560768}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":45445568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6097,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1560768,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":88761,"positions_per_block":4096,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45445568,"output_witness_len":17033728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266152,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17033728,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":407296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":407296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":529254272}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":1024,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":5403072}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1033700,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":529254272,"output_witness_len":68264448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1066632,"positions_per_block":8192,"live_blocks":131},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33798,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5633,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68264448,"output_witness_len":4645312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72583,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1775499422,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4645312,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42212,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5403072,"output_witness_len":1397824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1635520}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2400128}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6389,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1635520,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9376,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2400128,"output_witness_len":889728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13902,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889728,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":70176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":70176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":74111424}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":74904000}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":5,"input_width":5632,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":578996,"positions_per_block":4096,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74111424,"output_witness_len":13854592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":216478,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13854592,"output_witness_len":2094144}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":5,"input_width":5632,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":585188,"positions_per_block":4096,"live_blocks":143},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36894,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11653,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74904000,"output_witness_len":13873920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":216780,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13873920,"output_witness_len":2094144}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":291712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":291712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":321062784}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9735104}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":37339136},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":627076,"positions_per_block":8192,"live_blocks":77},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":321062784,"output_witness_len":26232320}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":409880,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26232320,"output_witness_len":2107264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19014,"positions_per_block":512,"live_blocks":38},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9735104,"output_witness_len":2081600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32525,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2081600,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":68800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":68800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":111290240}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2069888}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":217364,"positions_per_block":4096,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":111290240,"output_witness_len":13524480}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211320,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13524480,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8086,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2069888,"output_witness_len":823680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12870,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":823680,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1497920}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1576512}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5852,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1497920,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6159,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1576512,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1938240}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":15480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":13246400}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30285,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1938240,"output_witness_len":819200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12800,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":819200,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103488,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2193,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13246400,"output_witness_len":2095488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32742,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095488,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5397888}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":528384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":528384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":673859456}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42171,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5397888,"output_witness_len":1397824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":67633152},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1316132,"positions_per_block":4096,"live_blocks":322},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":41216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":673859456,"output_witness_len":43414016}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":678344,"positions_per_block":8192,"live_blocks":83},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43414016,"output_witness_len":2795520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43680,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2795520,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1670848}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":594432,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":594432,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":716130176}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6527,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1670848,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":76087296},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1398692,"positions_per_block":4096,"live_blocks":342},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":43776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":716130176,"output_witness_len":43823616}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":684744,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43823616,"output_witness_len":2809856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1883200}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11859392}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7357,"positions_per_block":512,"live_blocks":15},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1883200,"output_witness_len":702592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10978,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":702592,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":92652,"positions_per_block":2048,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11859392,"output_witness_len":1988224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31066,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1988224,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7147904}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":15136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":13048256}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13961,"positions_per_block":512,"live_blocks":28},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7147904,"output_witness_len":1833920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28655,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1833920,"output_witness_len":749056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":101940,"positions_per_block":2048,"live_blocks":50},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2150,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13048256,"output_witness_len":2076224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32441,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2076224,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":132096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":132096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":151799680}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1608000}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":16908288},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":296484,"positions_per_block":2048,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":18560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":151799680,"output_witness_len":20603392}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":321928,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20603392,"output_witness_len":1951744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6282,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1608000,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":583424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":583424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":709085056}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":1024,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":3483520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":74678272},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1384932,"positions_per_block":4096,"live_blocks":339},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":43392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":709085056,"output_witness_len":43762176}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":683784,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43762176,"output_witness_len":2809856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13608,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3483520,"output_witness_len":1090304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5618048}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":23979456}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43891,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5618048,"output_witness_len":1417088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22142,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1417088,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":187340,"positions_per_block":2048,"live_blocks":92},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23979456,"output_witness_len":2885312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45083,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2885312,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12255680}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":512,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":2769344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":95748,"positions_per_block":2048,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12126,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12255680,"output_witness_len":2007488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31367,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2007488,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43271,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2769344,"output_witness_len":1033856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16154,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1033856,"output_witness_len":290816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1122816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":896277568}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":19620288}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7002169,"positions_per_block":16384,"live_blocks":428},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55212,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":124872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":896277568,"output_witness_len":73787392}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1152928,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73787392,"output_witness_len":22767360}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":38321,"positions_per_block":512,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19620288,"output_witness_len":3041792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47528,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3041792,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":335887754,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":458803072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16802496}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":896100,"positions_per_block":8192,"live_blocks":110},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":458803072,"output_witness_len":26975744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421496,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26975744,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47315388259,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32818,"positions_per_block":512,"live_blocks":65},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16802496,"output_witness_len":2794112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43658,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2794112,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13932,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5295936}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7037824}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41375,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5295936,"output_witness_len":1378560}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13746,"positions_per_block":512,"live_blocks":27},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1161,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7037824,"output_witness_len":1809152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28268,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1809152,"output_witness_len":749056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":539392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":539392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":680904576}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":770560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":783555712}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":69042176},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1329892,"positions_per_block":4096,"live_blocks":325},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":41600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":680904576,"output_witness_len":43475456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":679304,"positions_per_block":8192,"live_blocks":83},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43475456,"output_witness_len":2795520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43680,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2795520,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1530383,"positions_per_block":4096,"live_blocks":374},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":47872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":783555712,"output_witness_len":44478976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":694984,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44478976,"output_witness_len":2824192}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":4096,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":21205440}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17793216}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41417,"positions_per_block":512,"live_blocks":81},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3483,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21205440,"output_witness_len":3190400}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49850,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3190400,"output_witness_len":1030464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16101,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":345948160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1030464,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34753,"positions_per_block":512,"live_blocks":68},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17793216,"output_witness_len":2868416}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44819,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2868416,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":473344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":236672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":420011136}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1340608}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":820335,"positions_per_block":8192,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":420011136,"output_witness_len":26772992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":418328,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26772992,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5237,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1340608,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1442880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":924672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":924672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":892056064}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5637,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1442880,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1742297,"positions_per_block":4096,"live_blocks":426},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":54528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":892056064,"output_witness_len":45543936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":711624,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45543936,"output_witness_len":2852864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":16384,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":59052480}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6278528}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230674,"positions_per_block":2048,"live_blocks":113},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":14464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":59052480,"output_witness_len":10822144}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":169096,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10822144,"output_witness_len":1413120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12263,"positions_per_block":256,"live_blocks":48},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6278528,"output_witness_len":1848768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28887,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1848768,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":198144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":261179264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1120448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":510116,"positions_per_block":2048,"live_blocks":250},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32000,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":261179264,"output_witness_len":22548992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":352328,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22548992,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4377,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1120448,"output_witness_len":592576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9259,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":592576,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":2048,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":6762880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":50201024}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":1048576},{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":26418,"positions_per_block":1024,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6762880,"output_witness_len":3588608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":56072,"positions_per_block":2048,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3588608,"output_witness_len":819200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12800,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":819200,"output_witness_len":380928}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5952,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":500748604,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380928,"output_witness_len":221184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3456,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":322582056,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":221184,"output_witness_len":123776}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1934,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":629586708,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":123776,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":98049,"positions_per_block":4096,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":50201024,"output_witness_len":17121792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":267528,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17121792,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1636925440,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":70941120}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":36464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":54693312}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":277114,"positions_per_block":4096,"live_blocks":68},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":70941120,"output_witness_len":11463168}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":179112,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11463168,"output_witness_len":1441792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":213646,"positions_per_block":2048,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54693312,"output_witness_len":10658304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":166536,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10658304,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":129344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":108604544}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":66978240}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212119,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":108604544,"output_witness_len":13479424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210616,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13479424,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":261634,"positions_per_block":2048,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":66978240,"output_witness_len":11129344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":173896,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11129344,"output_witness_len":1427456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22304,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1968918844,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1427456,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6058368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":37,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":268435456,"positions_per_block":65536,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137438953472,"output_witness_len":359810944}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11833,"positions_per_block":256,"live_blocks":47},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6058368,"output_witness_len":1824000}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28500,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1824000,"output_witness_len":749056}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":45088768},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":702756,"positions_per_block":8192,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":359810944,"output_witness_len":26435072}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":413048,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26435072,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1478208}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1552960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5775,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1478208,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6067,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1552960,"output_witness_len":642112}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5563008}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1395648}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43461,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5563008,"output_witness_len":1417088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22142,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1417088,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5452,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1395648,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":236672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":236672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":285837184}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":36,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":32768,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68719476736,"output_witness_len":179980160}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":558276,"positions_per_block":2048,"live_blocks":273},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285837184,"output_witness_len":22993408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":359272,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22993408,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":22544384},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351524,"positions_per_block":2048,"live_blocks":172},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":179980160,"output_witness_len":21991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":343624,"positions_per_block":4096,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21991936,"output_witness_len":2023424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31616,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2994755742,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":3968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2023424,"output_witness_len":538624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8416,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":538624,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1091391804,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1718080}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":462336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":231168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":416488576}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6712,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1718080,"output_witness_len":686080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":813455,"positions_per_block":8192,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":416488576,"output_witness_len":26750464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":417976,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26750464,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":140352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":140352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":157083520}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1423168}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":17965056},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":306804,"positions_per_block":2048,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":157083520,"output_witness_len":20695552}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323368,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20695552,"output_witness_len":1951744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5560,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1423168,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":27494272}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":8192,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":42275264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53700,"positions_per_block":1024,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27494272,"output_witness_len":6645760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103840,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6645760,"output_witness_len":1104896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82569,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":42275264,"output_witness_len":16989696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14190,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5372992}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3368320}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41977,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5372992,"output_witness_len":1378560}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13158,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3368320,"output_witness_len":1073792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1100800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1100800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":889232448}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7808384}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6947129,"positions_per_block":16384,"live_blocks":425},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":54825,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":124614,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889232448,"output_witness_len":73721344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1151896,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73721344,"output_witness_len":22767360}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15251,"positions_per_block":512,"live_blocks":30},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7808384,"output_witness_len":1883456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29429,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1883456,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":380946304}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":506368,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":253184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":430578816}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":49315840},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":744036,"positions_per_block":8192,"live_blocks":91},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380946304,"output_witness_len":26547712}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":414808,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26547712,"output_witness_len":2119936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":840975,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":430578816,"output_witness_len":26818048}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":419032,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26818048,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1505728}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5882,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1505728,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1230528}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":440320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":409443456}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4807,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1230528,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":799695,"positions_per_block":8192,"live_blocks":98},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":409443456,"output_witness_len":26705408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":417272,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26705408,"output_witness_len":2119936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37181312}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2036864}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72620,"positions_per_block":1024,"live_blocks":71},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37181312,"output_witness_len":7005184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":109456,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7005184,"output_witness_len":1144832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7957,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2036864,"output_witness_len":823680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12870,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":823680,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":473344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":638633856}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12255680}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1247332,"positions_per_block":16384,"live_blocks":77},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":638633856,"output_witness_len":68836864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1075576,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68836864,"output_witness_len":4664576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":95748,"positions_per_block":2048,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12126,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12255680,"output_witness_len":2007488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31367,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2007488,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":517376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":258688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":434101376}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16009920}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":847855,"positions_per_block":8192,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":434101376,"output_witness_len":26840576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":419384,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26840576,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31270,"positions_per_block":512,"live_blocks":62},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2666,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16009920,"output_witness_len":2719808}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42497,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2719808,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":307653711,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":484352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":242176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":423533696}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":50993600}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":827215,"positions_per_block":8192,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":423533696,"output_witness_len":26772992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":418328,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26772992,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":99597,"positions_per_block":4096,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":50993600,"output_witness_len":17165824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268216,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17165824,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":64600512}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":53900736}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":252346,"positions_per_block":2048,"live_blocks":124},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":64600512,"output_witness_len":11047424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":172616,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11047424,"output_witness_len":1427456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22304,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1968918844,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1427456,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210550,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53900736,"output_witness_len":10617344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165896,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10617344,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1608000}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1100800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1100800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":889232448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6282,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1608000,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6947129,"positions_per_block":16384,"live_blocks":425},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":54825,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":124614,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889232448,"output_witness_len":73721344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1151896,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73721344,"output_witness_len":22767360}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":145856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":145856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":227714944}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":264192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":264192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":303449984}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":444756,"positions_per_block":2048,"live_blocks":218},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27904,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":227714944,"output_witness_len":22934016}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358344,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22934016,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":33816576},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":592676,"positions_per_block":8192,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":303449984,"output_witness_len":26142208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":408472,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26142208,"output_witness_len":2094592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":291712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":291712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":455280512}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":286208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":317540224}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":889220,"positions_per_block":8192,"live_blocks":109},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32120,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455280512,"output_witness_len":26953216}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421144,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26953216,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":36634624},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":620196,"positions_per_block":8192,"live_blocks":76},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":317540224,"output_witness_len":26209792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":409528,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26209792,"output_witness_len":2094592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":50912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":50912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":46238144}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":28154752}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":90309,"positions_per_block":4096,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46238144,"output_witness_len":17077760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266840,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17077760,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":54990,"positions_per_block":1024,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":28154752,"output_witness_len":6665728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104152,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6665728,"output_witness_len":1104896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":209152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":209152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":268224384}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":418304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":418304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":402081664}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":523876,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268224384,"output_witness_len":22659584}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":354056,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22659584,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":53542912},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":785316,"positions_per_block":8192,"live_blocks":96},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":402081664,"output_witness_len":26660352}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":416568,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26660352,"output_witness_len":2119936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":8192,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":31016832}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":70941120}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":60580,"positions_per_block":1024,"live_blocks":60},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":31016832,"output_witness_len":6785536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106024,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6785536,"output_witness_len":1118208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":277114,"positions_per_block":4096,"live_blocks":68},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":70941120,"output_witness_len":11463168}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":179112,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11463168,"output_witness_len":1441792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18035136}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":187136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":187136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":254134144}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":35225,"positions_per_block":512,"live_blocks":69},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2967,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18035136,"output_witness_len":2893184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45206,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2893184,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":325502819,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":496356,"positions_per_block":2048,"live_blocks":243},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":31104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":254134144,"output_witness_len":22419968}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":350312,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22419968,"output_witness_len":2052096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":128,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":193280}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":3020,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34688}},"input_witness_len":193280} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1078784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1078784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":882187328}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6892089,"positions_per_block":16384,"live_blocks":421},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":54309,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":124270,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":882187328,"output_witness_len":73633280}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1150520,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73633280,"output_witness_len":22767360}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":35934656}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":68800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":68800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":73318848}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":70185,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":35934656,"output_witness_len":14760448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":5,"input_width":5632,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":572804,"positions_per_block":4096,"live_blocks":140},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36120,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11524,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73318848,"output_witness_len":13816064}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":215876,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13816064,"output_witness_len":2094144}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":65393088}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1285568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":255442,"positions_per_block":2048,"live_blocks":125},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16000,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65393088,"output_witness_len":11067904}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":172936,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11067904,"output_witness_len":1427456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22304,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1968918844,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1427456,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5022,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1285568,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":70176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":70176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":112170880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":121088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":105962624}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":219084,"positions_per_block":4096,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":112170880,"output_witness_len":13524480}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211320,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13524480,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":206959,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":105962624,"output_witness_len":13456896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":256,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":365632}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":4725568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5713,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":365632,"output_witness_len":225728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3527,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":225728,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2448248517,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36919,"positions_per_block":1024,"live_blocks":37},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4902,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1591,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4725568,"output_witness_len":1301504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":20336,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1301504,"output_witness_len":616960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":12,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":129,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":86,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4096,"output_witness_len":82304}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1286,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":182,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18304}},"input_witness_len":82304} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3588480}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14018,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3588480,"output_witness_len":1090304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1423168}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17595072}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5560,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1423168,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34366,"positions_per_block":512,"live_blocks":68},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17595072,"output_witness_len":2868416}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44819,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2868416,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":236672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":118336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":210058368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":8192,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":31016832}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":410271,"positions_per_block":2048,"live_blocks":201},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":210058368,"output_witness_len":22585856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":352904,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22585856,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":60580,"positions_per_block":1024,"live_blocks":60},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":31016832,"output_witness_len":6785536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106024,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6785536,"output_witness_len":1118208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1144832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":903322688}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":72928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":72928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":75696576}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7057209,"positions_per_block":16384,"live_blocks":431},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55599,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":125130,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":903322688,"output_witness_len":73853440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1153960,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73853440,"output_witness_len":22767360}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":2,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":295690,"positions_per_block":4096,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":75696576,"output_witness_len":14944000}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":233500,"positions_per_block":4096,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14964,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14944000,"output_witness_len":2190464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34226,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2190464,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":462336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":231168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":416488576}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":198144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":194070400}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":813455,"positions_per_block":8192,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":416488576,"output_witness_len":26750464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":417976,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26750464,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":25362432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":379044,"positions_per_block":2048,"live_blocks":186},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":23808,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":194070400,"output_witness_len":22278656}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":348104,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22278656,"output_witness_len":2037760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":770560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":783555712}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":132096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":132096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":218908544}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1530383,"positions_per_block":4096,"live_blocks":374},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":47872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":783555712,"output_witness_len":44478976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":694984,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44478976,"output_witness_len":2824192}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":427556,"positions_per_block":2048,"live_blocks":209},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":26752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":218908544,"output_witness_len":22749696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355464,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22749696,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":24080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":32337792}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":36740992}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":63160,"positions_per_block":1024,"live_blocks":62},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32337792,"output_witness_len":6825472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106648,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6825472,"output_witness_len":1131520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":71760,"positions_per_block":1024,"live_blocks":71},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":36740992,"output_witness_len":7005184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":109456,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7005184,"output_witness_len":1144832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":53371328}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":814592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":814592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":849785344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104241,"positions_per_block":4096,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53371328,"output_witness_len":17209856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268904,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17209856,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1659737,"positions_per_block":4096,"live_blocks":406},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":51968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":849785344,"output_witness_len":45134336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":705224,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45134336,"output_witness_len":2852864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37123520}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":275269504}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72507,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37123520,"output_witness_len":14760448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":537636,"positions_per_block":2048,"live_blocks":263},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275269504,"output_witness_len":22809088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356392,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22809088,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18827712}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":96320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":96320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":95348608}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36773,"positions_per_block":512,"live_blocks":72},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18827712,"output_witness_len":2967488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46367,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2967488,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":12328960},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":186228,"positions_per_block":4096,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":95348608,"output_witness_len":13344256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208504,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13344256,"output_witness_len":1473664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28124027668,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1301312}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1505728}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5084,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1301312,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5882,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1505728,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9735104}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1745600}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19014,"positions_per_block":512,"live_blocks":38},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9735104,"output_witness_len":2081600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32525,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2081600,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6819,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1745600,"output_witness_len":686080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9019264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3280256}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17616,"positions_per_block":512,"live_blocks":35},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9019264,"output_witness_len":2007296}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31364,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2007296,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12814,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":559,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3280256,"output_witness_len":1073792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16778,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073792,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":151360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":151360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":164128640}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":143104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":143104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":225953664}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":19374080},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":320564,"positions_per_block":2048,"live_blocks":157},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":20096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":164128640,"output_witness_len":20824576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":325384,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20824576,"output_witness_len":1966080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":441316,"positions_per_block":2048,"live_blocks":216},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":225953664,"output_witness_len":22893056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":357704,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22893056,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5575040}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8358784}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43555,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5575040,"output_witness_len":1417088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22142,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1417088,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16326,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8358784,"output_witness_len":1932992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30203,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1932992,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":36464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37916096}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5838208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":74055,"positions_per_block":4096,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37916096,"output_witness_len":14804480}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231320,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14804480,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11403,"positions_per_block":256,"live_blocks":45},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5838208,"output_witness_len":1774464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":27726,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1774464,"output_witness_len":749056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":324585344}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1855680}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":38043648},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":633956,"positions_per_block":8192,"live_blocks":78},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":324585344,"output_witness_len":26254848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":410232,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26254848,"output_witness_len":2107264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7249,"positions_per_block":512,"live_blocks":15},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1855680,"output_witness_len":702592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10978,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":702592,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":17793216}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":107328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":101559424}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34753,"positions_per_block":512,"live_blocks":68},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17793216,"output_witness_len":2868416}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44819,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2868416,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":198359,"positions_per_block":4096,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":101559424,"output_witness_len":13411840}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209560,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13411840,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":880640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":880640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":875147776}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2631296}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1709273,"positions_per_block":4096,"live_blocks":418},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":53504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":875147776,"output_witness_len":45380096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":709064,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45380096,"output_witness_len":2852864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10279,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2631296,"output_witness_len":1040768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16262,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1040768,"output_witness_len":290816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":203648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":203648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":264701824}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":154112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":165889920}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":516996,"positions_per_block":2048,"live_blocks":253},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":264701824,"output_witness_len":22604288}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":353192,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22604288,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":19726336},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":324004,"positions_per_block":2048,"live_blocks":159},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":20352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":165889920,"output_witness_len":20861440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":325960,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20861440,"output_witness_len":1966080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":33658752}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":10670528}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65740,"positions_per_block":1024,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33658752,"output_witness_len":6885376}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107584,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6885376,"output_witness_len":1131520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":1048576},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41682,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10670528,"output_witness_len":3875328}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":60552,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3875328,"output_witness_len":847872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13248,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":847872,"output_witness_len":380928}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5952,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":500748604,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380928,"output_witness_len":221184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3456,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":322582056,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":221184,"output_witness_len":123776}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1934,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":629586708,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":123776,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1636925440,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":4096,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":14864832}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":308224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":308224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":331630464}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":2097152},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":58066,"positions_per_block":1024,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14864832,"output_witness_len":5218816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":81544,"positions_per_block":2048,"live_blocks":40},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5218816,"output_witness_len":991232}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15488,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991232,"output_witness_len":417792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6528,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":417792,"output_witness_len":282624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":387812431,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":39452672},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":647716,"positions_per_block":8192,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":331630464,"output_witness_len":26299904}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":410936,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26299904,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":12,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4096,"output_witness_len":104320}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1630,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18304}},"input_witness_len":104320} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2532224}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":32768,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":117980288}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9892,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2532224,"output_witness_len":911744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14246,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":911744,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230431,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":117980288,"output_witness_len":26897920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420280,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26897920,"output_witness_len":3057344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47771,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3057344,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":33218432}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":38312384}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64880,"positions_per_block":1024,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33218432,"output_witness_len":6865408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107272,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6865408,"output_witness_len":1131520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":74829,"positions_per_block":4096,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":38312384,"output_witness_len":14804480}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231320,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14804480,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":55089600}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":53664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":64600512}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":215194,"positions_per_block":2048,"live_blocks":106},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":55089600,"output_witness_len":10678784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":166856,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10678784,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":252346,"positions_per_block":2048,"live_blocks":124},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":64600512,"output_witness_len":11047424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":172616,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11047424,"output_witness_len":1427456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22304,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1968918844,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1427456,"output_witness_len":446464}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":858624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":858624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":866693632}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":121088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":121088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":144754560}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1692761,"positions_per_block":4096,"live_blocks":414},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":52992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":866693632,"output_witness_len":45298176}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":707784,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45298176,"output_witness_len":2852864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":282724,"positions_per_block":8192,"live_blocks":35},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28036,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":144754560,"output_witness_len":34350592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536728,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34350592,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3526,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2235008}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":203648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":203648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":264701824}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8731,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2235008,"output_witness_len":845760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":516996,"positions_per_block":2048,"live_blocks":253},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":264701824,"output_witness_len":22604288}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":353192,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22604288,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1741632}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":27494272}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6804,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1741632,"output_witness_len":686080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53700,"positions_per_block":1024,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27494272,"output_witness_len":6645760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103840,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6645760,"output_witness_len":1104896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5141824}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":616448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":616448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":730220416}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":40171,"positions_per_block":1024,"live_blocks":40},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5141824,"output_witness_len":1359296}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21239,"positions_per_block":1024,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1359296,"output_witness_len":633472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9898,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":633472,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":78905344},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1426212,"positions_per_block":4096,"live_blocks":349},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":44672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":730220416,"output_witness_len":43966976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":686984,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43966976,"output_witness_len":2809856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37621632}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":128,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":289216}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":73480,"positions_per_block":1024,"live_blocks":72},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37621632,"output_witness_len":7025152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":109768,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7025152,"output_witness_len":1144832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1130,"positions_per_block":128,"live_blocks":9},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":126852}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289216,"output_witness_len":205632}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3213,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":205632,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2437863582,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1203008}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16406208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4700,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1203008,"output_witness_len":609088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32044,"positions_per_block":512,"live_blocks":63},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2709,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16406208,"output_witness_len":2744576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42884,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2744576,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":25564608}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1411392}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":199724,"positions_per_block":2048,"live_blocks":98},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25564608,"output_witness_len":3022784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47231,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3022784,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5514,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1411392,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":440320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":409443456}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":242176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":242176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":289359744}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":799695,"positions_per_block":8192,"live_blocks":98},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":409443456,"output_witness_len":26705408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":417272,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26705408,"output_witness_len":2119936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":565156,"positions_per_block":2048,"live_blocks":276},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":17024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":289359744,"output_witness_len":23048704}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":360136,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23048704,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8358784}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":187136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":187136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":187025280}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16326,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8358784,"output_witness_len":1932992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30203,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1932992,"output_witness_len":782080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":23953408},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":365284,"positions_per_block":2048,"live_blocks":179},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":22912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":187025280,"output_witness_len":22135296}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":345864,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22135296,"output_witness_len":2037760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2135936}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6168448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8344,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2135936,"output_witness_len":845696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12048,"positions_per_block":256,"live_blocks":48},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6168448,"output_witness_len":1848768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28887,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1848768,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":37,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268435456,"positions_per_block":65536,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137438953472,"output_witness_len":247089024}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":836608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":836608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":858239488}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":482596,"positions_per_block":2048,"live_blocks":236},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":30208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15744,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247089024,"output_witness_len":23302656}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":364104,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23302656,"output_witness_len":2095104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1676249,"positions_per_block":4096,"live_blocks":410},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":52480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":858239488,"output_witness_len":45216256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":706504,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45216256,"output_witness_len":2852864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2400128}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5287808}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9376,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2400128,"output_witness_len":889728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13902,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889728,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41311,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5287808,"output_witness_len":1378560}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":72928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":72928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":75696576}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":129344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":217103488}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":2,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":295690,"positions_per_block":2048,"live_blocks":145},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23478,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":75696576,"output_witness_len":14839296}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231864,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14839296,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":424031,"positions_per_block":2048,"live_blocks":208},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":26624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":217103488,"output_witness_len":22729216}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355144,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22729216,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1615808}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":71552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":113051520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6312,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1615808,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":220804,"positions_per_block":4096,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":113051520,"output_witness_len":13524480}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":211320,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13524480,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1313088}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":68563392}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5130,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1313088,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":267826,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68563392,"output_witness_len":11422208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":178472,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11422208,"output_witness_len":1441792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":38312384}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9834176}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":74829,"positions_per_block":4096,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":38312384,"output_witness_len":14804480}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":231320,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14804480,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19208,"positions_per_block":512,"live_blocks":38},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9834176,"output_witness_len":2081600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32525,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2081600,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":35860352}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11463104}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":70040,"positions_per_block":1024,"live_blocks":69},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6916,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":35860352,"output_witness_len":6965248}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":108832,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6965248,"output_witness_len":1144832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":89556,"positions_per_block":2048,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11463104,"output_witness_len":1949696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30464,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1949696,"output_witness_len":782080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":429312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":429312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":610453376}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":269696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":269696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":441190272}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1192292,"positions_per_block":16384,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12556,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56588,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":610453376,"output_witness_len":68660736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1072824,"positions_per_block":8192,"live_blocks":131},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33798,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5633,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68660736,"output_witness_len":4645312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72583,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1775499422,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4645312,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":861700,"positions_per_block":8192,"live_blocks":106},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":441190272,"output_witness_len":26885632}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420088,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26885632,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11859392}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":48160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":48160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":44652992}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":92652,"positions_per_block":2048,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11859392,"output_witness_len":1988224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31066,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1988224,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":87213,"positions_per_block":4096,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44652992,"output_witness_len":17033728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":266152,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17033728,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12057536}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9019264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":94200,"positions_per_block":2048,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12057536,"output_witness_len":1988224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31066,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1988224,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17616,"positions_per_block":512,"live_blocks":35},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9019264,"output_witness_len":2007296}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31364,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2007296,"output_witness_len":798592}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":36,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":65536,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68719476736,"output_witness_len":247089024}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13158,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5064768}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":482596,"positions_per_block":2048,"live_blocks":236},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":30208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15744,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247089024,"output_witness_len":23302656}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":364104,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23302656,"output_witness_len":2095104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":39569,"positions_per_block":1024,"live_blocks":39},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1677,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5064768,"output_witness_len":1340032}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":20938,"positions_per_block":1024,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1340032,"output_witness_len":633472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9898,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":633472,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":616448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":616448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":730220416}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":78905344},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1426212,"positions_per_block":4096,"live_blocks":349},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":44672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":730220416,"output_witness_len":43966976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":686984,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43966976,"output_witness_len":2809856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":193280}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":3020,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34368}},"input_witness_len":193280} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3456384}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":31897472}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13502,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3456384,"output_witness_len":1090304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":62300,"positions_per_block":1024,"live_blocks":61},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6500,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":31897472,"output_witness_len":6805504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106336,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6805504,"output_witness_len":1118208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":2769344}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9460,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1769152}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43271,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2769344,"output_witness_len":1033856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16154,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1033856,"output_witness_len":290816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6911,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1769152,"output_witness_len":686080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":286208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":317540224}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16023424}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":36634624},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":620196,"positions_per_block":8192,"live_blocks":76},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":317540224,"output_witness_len":26209792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":409528,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26209792,"output_witness_len":2094592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31296,"positions_per_block":512,"live_blocks":62},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2666,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16023424,"output_witness_len":2719808}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42497,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2719808,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":307653711,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":264192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":264192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":437667712}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":308224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":308224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":465848192}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":854820,"positions_per_block":8192,"live_blocks":105},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":437667712,"output_witness_len":26863104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":419736,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26863104,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":909860,"positions_per_block":8192,"live_blocks":112},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":465848192,"output_witness_len":27020800}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":422200,"positions_per_block":4096,"live_blocks":104},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27020800,"output_witness_len":2145280}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33520,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47689245933,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2145280,"output_witness_len":569600}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":39,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1073741824,"positions_per_block":262144,"live_blocks":4096},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":549755813888,"output_witness_len":762420352}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14633408}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1489103,"positions_per_block":4096,"live_blocks":364},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":46592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":762420352,"output_witness_len":44274176}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":691784,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":44274176,"output_witness_len":2824192}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44128,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2824192,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":114324,"positions_per_block":2048,"live_blocks":56},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14633408,"output_witness_len":2191808}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34247,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2191808,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":242176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":121088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":211819648}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":413711,"positions_per_block":2048,"live_blocks":203},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":211819648,"output_witness_len":22626816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":353544,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22626816,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2631296}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10279,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":473,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2631296,"output_witness_len":1040768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16262,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1040768,"output_witness_len":290816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":50912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":50912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":63015360}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":256,"live_blocks":8},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":365632}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":246154,"positions_per_block":2048,"live_blocks":121},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":63015360,"output_witness_len":10985984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":171656,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10985984,"output_witness_len":1413120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5713,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":365632,"output_witness_len":225728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3527,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":225728,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2448248517,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13158,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5064768}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5575040}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":39569,"positions_per_block":1024,"live_blocks":39},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1677,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5064768,"output_witness_len":1340032}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":20938,"positions_per_block":1024,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1340032,"output_witness_len":633472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9898,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":633472,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43555,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5575040,"output_witness_len":1417088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22142,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1417088,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2433152}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":99072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":99072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":97109888}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9505,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2433152,"output_witness_len":889728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13902,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889728,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":12681216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":189668,"positions_per_block":4096,"live_blocks":47},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4136,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":97109888,"output_witness_len":13366784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208856,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13366784,"output_witness_len":1473664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28124027668,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12453824}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7588224}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":97296,"positions_per_block":2048,"live_blocks":48},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12453824,"output_witness_len":2026752}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31668,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2026752,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14821,"positions_per_block":512,"live_blocks":29},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7588224,"output_witness_len":1858688}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29042,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1858688,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":1024,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":3483520}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13608,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3483520,"output_witness_len":1090304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1745600}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8689024}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6819,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1745600,"output_witness_len":686080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16971,"positions_per_block":512,"live_blocks":34},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8689024,"output_witness_len":1982528}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30977,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1982528,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1698368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1056768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1056768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":875142208}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6635,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1698368,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6837049,"positions_per_block":16384,"live_blocks":418},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":53922,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":124012,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":875142208,"output_witness_len":73567232}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1149488,"positions_per_block":8192,"live_blocks":141},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17071,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73567232,"output_witness_len":22767360}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355740,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22767360,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16023424}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":134848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":134848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":220669824}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31296,"positions_per_block":512,"live_blocks":62},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2666,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16023424,"output_witness_len":2719808}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42497,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2719808,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":307653711,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":430996,"positions_per_block":2048,"live_blocks":211},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":220669824,"output_witness_len":22790656}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356104,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22790656,"output_witness_len":2066432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":19224000}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":137709440}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37547,"positions_per_block":512,"live_blocks":74},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19224000,"output_witness_len":3017024}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47141,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3017024,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":335887754,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268964,"positions_per_block":8192,"live_blocks":33},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27692,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137709440,"output_witness_len":34262528}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":535352,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34262528,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":29035392}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":269696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":269696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":306972544}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":56710,"positions_per_block":1024,"live_blocks":56},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":29035392,"output_witness_len":6705664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104776,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6705664,"output_witness_len":1118208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":34521088},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":599556,"positions_per_block":8192,"live_blocks":74},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":306972544,"output_witness_len":26164736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":408824,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26164736,"output_witness_len":2094592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":231168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":231168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":282314624}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":192640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":192640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":257656704}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":551396,"positions_per_block":2048,"live_blocks":270},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":17280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282314624,"output_witness_len":22938112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358408,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22938112,"output_witness_len":2080768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":503236,"positions_per_block":2048,"live_blocks":246},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":31488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":257656704,"output_witness_len":22475264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351176,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22475264,"output_witness_len":2052096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":15480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":13246400}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":24080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":32337792}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103488,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2193,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13246400,"output_witness_len":2095488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32742,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095488,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":63160,"positions_per_block":1024,"live_blocks":62},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32337792,"output_witness_len":6825472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":106648,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6825472,"output_witness_len":1131520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":68800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":68800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":73318848}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6058368}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":5,"input_width":5632,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":572804,"positions_per_block":4096,"live_blocks":140},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36120,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11524,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73318848,"output_witness_len":13816064}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":215876,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13816064,"output_witness_len":2094144}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11833,"positions_per_block":256,"live_blocks":47},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2021,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6058368,"output_witness_len":1824000}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28500,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1824000,"output_witness_len":749056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":512,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":1354688}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":32768,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":179980160}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5292,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1354688,"output_witness_len":625600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":22544384},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351524,"positions_per_block":2048,"live_blocks":172},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":179980160,"output_witness_len":21991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":343624,"positions_per_block":4096,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21991936,"output_witness_len":2023424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31616,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2994755742,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":3968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2023424,"output_witness_len":538624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8416,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":538624,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1091391804,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5673088}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5450048}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44321,"positions_per_block":1024,"live_blocks":44},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5673088,"output_witness_len":1436352}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22443,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1436352,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42579,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5450048,"output_witness_len":1397824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3632512}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2070016}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14190,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3632512,"output_witness_len":1090304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8086,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2070016,"output_witness_len":801728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12527,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":801728,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12850112}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":5141824}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":100392,"positions_per_block":2048,"live_blocks":50},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2150,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12850112,"output_witness_len":2076224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32441,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2076224,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":40171,"positions_per_block":1024,"live_blocks":40},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5141824,"output_witness_len":1359296}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21239,"positions_per_block":1024,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4515,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1359296,"output_witness_len":633472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9898,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":633472,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":66048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":66048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":109528960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":387991424}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":213924,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":109528960,"output_witness_len":13501952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210968,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13501952,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":50724864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":757796,"positions_per_block":8192,"live_blocks":93},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":387991424,"output_witness_len":26592768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":415512,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26592768,"output_witness_len":2119936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3010,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2036864}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12651968}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7957,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2036864,"output_witness_len":823680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12870,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":823680,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":98844,"positions_per_block":2048,"live_blocks":49},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12651968,"output_witness_len":2056960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32140,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056960,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16683904}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2924,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2003840}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32586,"positions_per_block":512,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16683904,"output_witness_len":2769344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43271,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2769344,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7828,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2003840,"output_witness_len":823680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12870,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":823680,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3126656}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":54163904}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12214,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3126656,"output_witness_len":1035328}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16177,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1035328,"output_witness_len":290816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4544,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1518796800,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":290816,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2572867742,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":105789,"positions_per_block":4096,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":54163904,"output_witness_len":17209856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268904,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17209856,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":269696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":269696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":306972544}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":473344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":236672,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":420011136}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":34521088},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":599556,"positions_per_block":8192,"live_blocks":74},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":306972544,"output_witness_len":26164736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":408824,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26164736,"output_witness_len":2094592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":820335,"positions_per_block":8192,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":420011136,"output_witness_len":26772992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":418328,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26772992,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":275200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":275200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":310495104}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":256,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":365632}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":35225600},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":606436,"positions_per_block":8192,"live_blocks":75},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":310495104,"output_witness_len":26187264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":409176,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26187264,"output_witness_len":2094592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5713,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":365632,"output_witness_len":225728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3527,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":225728,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2448248517,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16463744}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":140352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":140352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":224192384}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32156,"positions_per_block":512,"live_blocks":63},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2709,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16463744,"output_witness_len":2744576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42884,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2744576,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":437876,"positions_per_block":2048,"live_blocks":214},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":224192384,"output_witness_len":22852096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":357064,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22852096,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":64,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":185024}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":2891,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34688}},"input_witness_len":185024} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1450688}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5667,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1450688,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":2048,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":6762880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":4571456}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":1048576},{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":26418,"positions_per_block":1024,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6762880,"output_witness_len":3588608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":56072,"positions_per_block":2048,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3588608,"output_witness_len":819200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12800,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":819200,"output_witness_len":380928}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5952,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":500748604,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380928,"output_witness_len":221184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3456,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":322582056,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":221184,"output_witness_len":123776}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1934,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":629586708,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":123776,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":35715,"positions_per_block":1024,"live_blocks":35},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1505,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4571456,"output_witness_len":1262976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19734,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1262976,"output_witness_len":616960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1636925440,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":66048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":66048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":71733696}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11661248}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":512,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":4,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":560420,"positions_per_block":4096,"live_blocks":137},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35346,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22790,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":71733696,"output_witness_len":13848576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":216384,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13674,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2279,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13848576,"output_witness_len":2094144}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32721,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094144,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":91104,"positions_per_block":2048,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11661248,"output_witness_len":1968960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30765,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1968960,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":29255552}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1328832}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":57140,"positions_per_block":1024,"live_blocks":56},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":29255552,"output_witness_len":6705664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104776,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6705664,"output_witness_len":1118208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5191,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1892,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1328832,"output_witness_len":625600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9775,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":625600,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":36330944}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":275200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":275200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":310495104}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":70959,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":36330944,"output_witness_len":14760448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":35225600},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":606436,"positions_per_block":8192,"live_blocks":75},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":310495104,"output_witness_len":26187264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":409176,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26187264,"output_witness_len":2094592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":440320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":440320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":617498496}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":462336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":462336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":631588736}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1206052,"positions_per_block":16384,"live_blocks":74},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":617498496,"output_witness_len":68704768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1073512,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68704768,"output_witness_len":4664576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1233572,"positions_per_block":16384,"live_blocks":76},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":631588736,"output_witness_len":68792832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1074888,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68792832,"output_witness_len":4664576}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":280704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":280704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":448235392}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":34979712}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":875460,"positions_per_block":8192,"live_blocks":107},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":448235392,"output_witness_len":26908160}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420440,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26908160,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":68320,"positions_per_block":1024,"live_blocks":67},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6812,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34979712,"output_witness_len":6925312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":108208,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6925312,"output_witness_len":1131520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":21998016}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":66185664}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42965,"positions_per_block":512,"live_blocks":84},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21998016,"output_witness_len":3264704}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":51011,"positions_per_block":2048,"live_blocks":25},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1075,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3264704,"output_witness_len":1030464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16101,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":347246277,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1030464,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":258538,"positions_per_block":2048,"live_blocks":127},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":66185664,"output_witness_len":11108864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":173576,"positions_per_block":4096,"live_blocks":43},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11108864,"output_witness_len":1427456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22304,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1968918844,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1427456,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18629568}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":36300672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36386,"positions_per_block":512,"live_blocks":72},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18629568,"output_witness_len":2967488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46367,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2967488,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":70900,"positions_per_block":1024,"live_blocks":70},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":7280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":36300672,"output_witness_len":6985216}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":109144,"positions_per_block":2048,"live_blocks":54},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9828,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1404,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6985216,"output_witness_len":1144832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17888,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1144832,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2334208}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1301312}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9118,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2334208,"output_witness_len":845760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5084,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1301312,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":451328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":451328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":624543616}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":28374912}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1219812,"positions_per_block":16384,"live_blocks":75},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56932,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":624543616,"output_witness_len":68748800}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1074200,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68748800,"output_witness_len":4664576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":55420,"positions_per_block":1024,"live_blocks":55},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6188,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":28374912,"output_witness_len":6685696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104464,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6685696,"output_witness_len":1118208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5464960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5342848}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42695,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5464960,"output_witness_len":1397824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41741,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5342848,"output_witness_len":1378560}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":280704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":280704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":314017664}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8909184}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":35930112},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":613316,"positions_per_block":8192,"live_blocks":75},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":6600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":314017664,"output_witness_len":26187264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":409176,"positions_per_block":4096,"live_blocks":100},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26187264,"output_witness_len":2094592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32728,"positions_per_block":2048,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46027656271,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2094592,"output_witness_len":561152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8768,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":561152,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17401,"positions_per_block":512,"live_blocks":34},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8909184,"output_witness_len":1982528}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30977,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1982528,"output_witness_len":798592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":4096,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":14864832}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":2097152},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":58066,"positions_per_block":1024,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14864832,"output_witness_len":5218816}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":81544,"positions_per_block":2048,"live_blocks":40},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5218816,"output_witness_len":991232}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15488,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991232,"output_witness_len":417792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6528,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":417792,"output_witness_len":282624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":387812431,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":132096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":132096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":218908544}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":126592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":126592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":148277120}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":427556,"positions_per_block":2048,"live_blocks":209},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":26752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":218908544,"output_witness_len":22749696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355464,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22749696,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":289604,"positions_per_block":8192,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":148277120,"output_witness_len":34394624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":537416,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34394624,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":121088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":105962624}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":123840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":106843264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":206959,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":105962624,"output_witness_len":13456896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208679,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":106843264,"output_witness_len":13456896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":256,"live_blocks":8},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":365632}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":148608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":148608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":229476224}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5713,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":365632,"output_witness_len":225728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3527,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":225728,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2448248517,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":448196,"positions_per_block":2048,"live_blocks":219},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":229476224,"output_witness_len":22954496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358664,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22954496,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8772,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1659072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1686592}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6481,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1659072,"output_witness_len":669568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6589,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1686592,"output_witness_len":669568}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":462336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":462336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":631588736}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":151360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":151360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":231237504}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1233572,"positions_per_block":16384,"live_blocks":76},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57104,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":631588736,"output_witness_len":68792832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1074888,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68792832,"output_witness_len":4664576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":451636,"positions_per_block":2048,"live_blocks":221},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":231237504,"output_witness_len":22995456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":359304,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22995456,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":561408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":561408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":694994816}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6003328}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":71860224},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1357412,"positions_per_block":4096,"live_blocks":332},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":42496,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":694994816,"output_witness_len":43618816}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":681544,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43618816,"output_witness_len":2809856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11726,"positions_per_block":256,"live_blocks":46},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6003328,"output_witness_len":1799232}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28113,"positions_per_block":1024,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6020,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1799232,"output_witness_len":749056}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11704,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":749056,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":9536960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":33024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":35934656}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18627,"positions_per_block":512,"live_blocks":37},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1591,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9536960,"output_witness_len":2056832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32138,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056832,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":70185,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":35934656,"output_witness_len":14760448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":70148544}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":16384,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":59052480}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":274018,"positions_per_block":4096,"live_blocks":67},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":70148544,"output_witness_len":11442688}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":178792,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11442688,"output_witness_len":1441792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230674,"positions_per_block":2048,"live_blocks":113},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":14464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":59052480,"output_witness_len":10822144}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":169096,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10822144,"output_witness_len":1413120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":154112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":165889920}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":32768,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":203648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":203648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":197592960}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":19726336},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":324004,"positions_per_block":2048,"live_blocks":159},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":20352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":165889920,"output_witness_len":20861440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":325960,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20861440,"output_witness_len":1966080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":26066944},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":385924,"positions_per_block":2048,"live_blocks":189},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":24192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":197592960,"output_witness_len":22340096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":349064,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22340096,"output_witness_len":2052096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1663040}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":101824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":101824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":132425600}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6497,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1663040,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":258644,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":132425600,"output_witness_len":34218496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":534664,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34218496,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8192,"output_witness_len":108416}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1694,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":448,"t_field_elems":1792,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18624}},"input_witness_len":108416} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":24375744}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":55485888}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":190436,"positions_per_block":2048,"live_blocks":93},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12126,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3999,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":24375744,"output_witness_len":2904576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45384,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2904576,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":216742,"positions_per_block":2048,"live_blocks":106},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":55485888,"output_witness_len":10678784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":166856,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10678784,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":19620288}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":25168320}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":38321,"positions_per_block":512,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19620288,"output_witness_len":3041792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47528,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3041792,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":335887754,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":196628,"positions_per_block":2048,"live_blocks":97},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4171,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":25168320,"output_witness_len":3003520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46930,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3003520,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328099053,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":104576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":104576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":100632448}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":115584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":104201344}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":13385728},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":196548,"positions_per_block":4096,"live_blocks":48},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":100632448,"output_witness_len":13389312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209208,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13389312,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":203519,"positions_per_block":4096,"live_blocks":50},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":104201344,"output_witness_len":13434368}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209912,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13434368,"output_witness_len":1486336}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1993280}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31145,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1993280,"output_witness_len":835712}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13058,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":835712,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5452928}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12642,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":4648512}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42601,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5452928,"output_witness_len":1397824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36317,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4648512,"output_witness_len":1282240}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":20035,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1282240,"output_witness_len":616960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":192640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":192640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":257656704}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":503236,"positions_per_block":2048,"live_blocks":246},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":31488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":16064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":257656704,"output_witness_len":22475264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351176,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22475264,"output_witness_len":2052096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":137600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":137600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":155322240}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":17612800},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":303364,"positions_per_block":2048,"live_blocks":149},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19072,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":155322240,"output_witness_len":20677120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323080,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20677120,"output_witness_len":1951744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":2048,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":10670528}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":1048576},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41682,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10670528,"output_witness_len":3875328}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":60552,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3875328,"output_witness_len":847872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13248,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":847872,"output_witness_len":380928}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5952,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":500748604,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380928,"output_witness_len":221184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3456,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":322582056,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":221184,"output_witness_len":123776}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1934,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":629586708,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":123776,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1636925440,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1521472}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":550400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":550400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":687949696}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5944,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1521472,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":70451200},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1343652,"positions_per_block":4096,"live_blocks":329},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":42112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":687949696,"output_witness_len":43557376}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":680584,"positions_per_block":8192,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43557376,"output_witness_len":2809856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43904,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2809856,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":62222784}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9116,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4558,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1910720}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":243058,"positions_per_block":2048,"live_blocks":119},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":15232,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15808,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":62222784,"output_witness_len":10945024}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":171016,"positions_per_block":4096,"live_blocks":42},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10945024,"output_witness_len":1413120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22080,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1944254622,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1413120,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7464,"positions_per_block":512,"live_blocks":15},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1910720,"output_witness_len":702592}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10978,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":702592,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":204774528}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2301056}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":399951,"positions_per_block":2048,"live_blocks":196},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":25088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":204774528,"output_witness_len":22483456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351304,"positions_per_block":4096,"live_blocks":86},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22483456,"output_witness_len":2052096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32064,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3044084185,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2052096,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8989,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2301056,"output_witness_len":845760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":40,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4294967296,"positions_per_block":524288,"live_blocks":8192},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1099511627776,"output_witness_len":987864128}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":35},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":385280,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":380946304}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7717689,"positions_per_block":16384,"live_blocks":472},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":128656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":987864128,"output_witness_len":74756096}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1168064,"positions_per_block":8192,"live_blocks":143},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36894,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17157,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74756096,"output_witness_len":22805888}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356342,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22805888,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":49315840},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":744036,"positions_per_block":8192,"live_blocks":91},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380946304,"output_witness_len":26547712}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":414808,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26547712,"output_witness_len":2119936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":12651968}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1246272}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":98844,"positions_per_block":2048,"live_blocks":49},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12651968,"output_witness_len":2056960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32140,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056960,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4869,"positions_per_block":512,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1246272,"output_witness_len":609088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9517,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":609088,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":193280}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32768,"output_witness_len":160512}, "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":3020,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34688}},"input_witness_len":193280} + "terminal": {"blocks":{"live_ring_elements_per_claim":1254,"positions_per_block":256,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":31620}}}},"fold":{"log_basis":4,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"response_shape":{"layout":{"ring_dimension":128,"groups":[{"z_coords":32768,"e_field_elems":512,"t_field_elems":1024,"z_linf_cap":115,"z_rice_low_bits":4,"z_payload_bytes":32768}],"logical_num_elems":34304}},"input_witness_len":160512} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8428,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11834752}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":451328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":451328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":624543616}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":92459,"positions_per_block":2048,"live_blocks":46},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11868,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1978,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11834752,"output_witness_len":1988224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31066,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1988224,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1219812,"positions_per_block":16384,"live_blocks":75},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":56932,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":624543616,"output_witness_len":68748800}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1074200,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68748800,"output_witness_len":4664576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4214,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2499200}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":3483520}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9763,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2499200,"output_witness_len":911744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14246,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":911744,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13608,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3483520,"output_witness_len":1090304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14237120}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":258688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":299927424}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":111228,"positions_per_block":2048,"live_blocks":55},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2365,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14237120,"output_witness_len":2172544}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33946,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2172544,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":585796,"positions_per_block":2048,"live_blocks":287},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":18432,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":17376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":299927424,"output_witness_len":23251456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":363304,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23251456,"output_witness_len":2095104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":34},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":93568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":93568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":121150592}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4386,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2565248}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":236623,"positions_per_block":4096,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63984,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121150592,"output_witness_len":26941952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420968,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26941952,"output_witness_len":3057344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47771,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3057344,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10021,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2565248,"output_witness_len":911744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14246,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":911744,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2466176}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2135936}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9634,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1634,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2466176,"output_witness_len":889728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13902,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889728,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8344,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2135936,"output_witness_len":845696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":8028544}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":129344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":129344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":150038400}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15681,"positions_per_block":512,"live_blocks":31},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8028544,"output_witness_len":1908224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29816,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1908224,"output_witness_len":782080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12220,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":782080,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":293044,"positions_per_block":8192,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":150038400,"output_witness_len":34394624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":537416,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34394624,"output_witness_len":3393152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":3483520}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7912,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3956,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1718080}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13608,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3483520,"output_witness_len":1090304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6712,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1718080,"output_witness_len":686080}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":104576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":104576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":134186880}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":2048,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":6762880}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262084,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":27520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134186880,"output_witness_len":34218496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":534664,"positions_per_block":8192,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34218496,"output_witness_len":3393152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":53018,"positions_per_block":2048,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1169278819,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3393152,"output_witness_len":906624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14166,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":291427250,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":906624,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1234184665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":1048576},{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":26418,"positions_per_block":1024,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6762880,"output_witness_len":3588608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":56072,"positions_per_block":2048,"live_blocks":28},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3588608,"output_witness_len":819200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12800,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":819200,"output_witness_len":380928}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5952,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":500748604,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380928,"output_witness_len":221184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3456,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":322582056,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":221184,"output_witness_len":123776}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1934,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":629586708,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":123776,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1636925440,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":77056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":77056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":83019648}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18431424}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":9863168},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":162148,"positions_per_block":4096,"live_blocks":40},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":83019648,"output_witness_len":13209088}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":206392,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13209088,"output_witness_len":1473664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":35999,"positions_per_block":512,"live_blocks":71},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3053,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18431424,"output_witness_len":2942720}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45980,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2942720,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32768,"output_witness_len":127488}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":996,"positions_per_block":256,"live_blocks":4},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":31620}}}},"fold":{"log_basis":4,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"response_shape":{"layout":{"ring_dimension":128,"groups":[{"z_coords":32768,"e_field_elems":512,"t_field_elems":1024,"z_linf_cap":103,"z_rice_low_bits":4,"z_payload_bytes":32768}],"logical_num_elems":34304}},"input_witness_len":127488} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":23583168}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":137600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":137600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":222431104}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":184244,"positions_per_block":2048,"live_blocks":90},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23583168,"output_witness_len":2846784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44481,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2846784,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":317714117,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":434436,"positions_per_block":2048,"live_blocks":213},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":27264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222431104,"output_witness_len":22831616}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356744,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22831616,"output_witness_len":2080768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32512,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3093412628,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2080768,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":27714432}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":256,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":717760}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":54130,"positions_per_block":1024,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27714432,"output_witness_len":6645760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103840,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6645760,"output_witness_len":1104896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2804,"positions_per_block":256,"live_blocks":11},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":717760,"output_witness_len":439936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6874,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":439936,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":390408665,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":286208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":451757952}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":280704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":280704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":448235392}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":882340,"positions_per_block":8192,"live_blocks":108},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":451757952,"output_witness_len":26930688}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420792,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26930688,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":875460,"positions_per_block":8192,"live_blocks":107},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":448235392,"output_witness_len":26908160}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420440,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26908160,"output_witness_len":2132608}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":60544,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":68563392}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":880640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":880640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":875147776}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":267826,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68563392,"output_witness_len":11422208}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":178472,"positions_per_block":4096,"live_blocks":44},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11422208,"output_witness_len":1441792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22528,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1993583065,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1441792,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1709273,"positions_per_block":4096,"live_blocks":418},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":53504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":875147776,"output_witness_len":45380096}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":709064,"positions_per_block":8192,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45380096,"output_witness_len":2852864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44576,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2852864,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":10670528}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":9632,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":14702464}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":64,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":1048576},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41682,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10670528,"output_witness_len":3875328}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":60552,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":5760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3875328,"output_witness_len":847872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13248,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":847872,"output_witness_len":380928}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5952,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":500748604,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":380928,"output_witness_len":221184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3456,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":322582056,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":182,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":221184,"output_witness_len":123776}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1934,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":17592186044416},"response_l2_sq_cap":629586708,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":123776,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":114863,"positions_per_block":2048,"live_blocks":57},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7482,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14702464,"output_witness_len":2211072}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34548,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2211072,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1636925440,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":145856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":145856,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":160606080}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":32768,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":132096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":132096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":151799680}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":18669568},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":313684,"positions_per_block":2048,"live_blocks":154},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19712,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13120,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":160606080,"output_witness_len":20769280}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":324520,"positions_per_block":4096,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20769280,"output_witness_len":1966080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30720,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1966080,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":16908288},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":296484,"positions_per_block":2048,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":18560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":151799680,"output_witness_len":20603392}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":321928,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20603392,"output_witness_len":1951744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2201984}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":27149760}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8602,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2201984,"output_witness_len":845696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":212108,"positions_per_block":2048,"live_blocks":104},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4472,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":27149760,"output_witness_len":3138368}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49037,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3138368,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7052,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7808384}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":39,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1073741824,"positions_per_block":131072,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":549755813888,"output_witness_len":494028672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15251,"positions_per_block":512,"live_blocks":30},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7808384,"output_witness_len":1883456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29429,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1883456,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":964900,"positions_per_block":8192,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":494028672,"output_witness_len":53864960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":841640,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53864960,"output_witness_len":4105920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64155,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1535347791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4105920,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":968704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":968704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":908964352}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":506368,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":506368,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":659769216}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1775321,"positions_per_block":4096,"live_blocks":434},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":55552,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":908964352,"output_witness_len":45707776}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":714184,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45707776,"output_witness_len":2867200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1288612,"positions_per_block":16384,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13588,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57620,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":659769216,"output_witness_len":68924928}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1076952,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68924928,"output_witness_len":4664576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1210880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1210880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":924458048}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":8192,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":19264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":29255552}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7222329,"positions_per_block":16384,"live_blocks":441},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56889,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":125990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":924458048,"output_witness_len":74073600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1157400,"positions_per_block":8192,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17114,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":74073600,"output_witness_len":22786624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356041,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22786624,"output_witness_len":2749120}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":57140,"positions_per_block":1024,"live_blocks":56},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5824,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":29255552,"output_witness_len":6705664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104776,"positions_per_block":2048,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9464,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6705664,"output_witness_len":1118208}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17472,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1118208,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2070016}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":8192,"live_blocks":1024},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":42275264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8086,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2070016,"output_witness_len":801728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12527,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":801728,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82569,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":42275264,"output_witness_len":16989696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5397888}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42171,"positions_per_block":1024,"live_blocks":42},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5397888,"output_witness_len":1397824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21841,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1397824,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":65536,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":253184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":253184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":296404864}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":578916,"positions_per_block":2048,"live_blocks":283},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":18176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":17248,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":296404864,"output_witness_len":23177728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":362152,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":17088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23177728,"output_witness_len":2095104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32736,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3116778733,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2095104,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":65536,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":407296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":407296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":395036544}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12728,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16683904}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":52133888},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":771556,"positions_per_block":8192,"live_blocks":95},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":8360,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":395036544,"output_witness_len":26637824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":416216,"positions_per_block":4096,"live_blocks":102},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2244,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26637824,"output_witness_len":2119936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33124,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46775371619,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2119936,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32586,"positions_per_block":512,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16683904,"output_witness_len":2769344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43271,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2769344,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":118336,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":105081984}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":517376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":517376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":666814336}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205239,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":105081984,"output_witness_len":13456896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1302372,"positions_per_block":16384,"live_blocks":80},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":13760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":57792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":666814336,"output_witness_len":68968960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1077640,"positions_per_block":8192,"live_blocks":132},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34056,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68968960,"output_witness_len":4664576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72884,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1776797539,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4664576,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":126592,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":107723904}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":56},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":38528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":55882176}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210399,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15840,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":107723904,"output_witness_len":13479424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210616,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13479424,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":218290,"positions_per_block":2048,"live_blocks":107},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":55882176,"output_witness_len":10699264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":167176,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10699264,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":34400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":34400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":36727232}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8084,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1548992}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":71733,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":36727232,"output_witness_len":14760448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6051,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1548992,"output_witness_len":642112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2069888}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":34099072}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8086,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2069888,"output_witness_len":823680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12870,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":823680,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":66600,"positions_per_block":1024,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6864,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34099072,"output_witness_len":6905344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":107896,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6905344,"output_witness_len":1131520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":11724672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31648,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":26753472}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":91599,"positions_per_block":2048,"live_blocks":45},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1935,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":11724672,"output_witness_len":1968960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30765,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6665,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1333,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1968960,"output_witness_len":798592}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12478,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":798592,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209012,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6708,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26753472,"output_witness_len":3119104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":48736,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3119104,"output_witness_len":1011200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":36},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":1147968}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":42},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3612,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2268032}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4485,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1147968,"output_witness_len":592576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9259,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":592576,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8860,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2268032,"output_witness_len":845760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3354,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2168960}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1938240}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8473,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2168960,"output_witness_len":845696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30285,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1290,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1938240,"output_witness_len":819200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12800,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":819200,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":41},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":34979712}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":9288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4644,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":6223488}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":68320,"positions_per_block":1024,"live_blocks":67},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6812,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34979712,"output_witness_len":6925312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":108208,"positions_per_block":2048,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9646,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1378,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6925312,"output_witness_len":1131520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17680,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3276,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":468,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1131520,"output_witness_len":468992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7328,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2358678450,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":468992,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12156,"positions_per_block":256,"live_blocks":48},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6223488,"output_witness_len":1848768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":28887,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1848768,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":55},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":19422144}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":104576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":104576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":100632448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37934,"positions_per_block":512,"live_blocks":75},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3225,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19422144,"output_witness_len":3041792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47528,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3041792,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":335887754,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":13385728},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":196548,"positions_per_block":4096,"live_blocks":48},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":100632448,"output_witness_len":13389312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209208,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13389312,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":32768,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":179980160}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":131072,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":275200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":275200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":444712832}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":22544384},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":351524,"positions_per_block":2048,"live_blocks":172},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13696,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":179980160,"output_witness_len":21991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":343624,"positions_per_block":4096,"live_blocks":84},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":21991936,"output_witness_len":2023424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31616,"positions_per_block":1024,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2994755742,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":3968,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2023424,"output_witness_len":538624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8416,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":538624,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1091391804,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":868580,"positions_per_block":8192,"live_blocks":107},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":31944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":444712832,"output_witness_len":26908160}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420440,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26908160,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47149229293,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":3544448}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":256,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":497600}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13846,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":602,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3544448,"output_witness_len":1090304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17036,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3655,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":731,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1090304,"output_witness_len":567424}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8866,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":567424,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1055044530,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1944,"positions_per_block":256,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":497600,"output_witness_len":428992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6703,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":428992,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":389110548,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":49},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":67424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":67424,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":110409600}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":40},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":32768,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":102440064}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":215644,"positions_per_block":4096,"live_blocks":53},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15928,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":110409600,"output_witness_len":13501952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210968,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13501952,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":200079,"positions_per_block":4096,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":102440064,"output_witness_len":13411840}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":209560,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13411840,"output_witness_len":1486336}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":50},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1631552}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":39},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26832,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":13416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":16208064}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6374,"positions_per_block":512,"live_blocks":13},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1631552,"output_witness_len":669568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10462,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":669568,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31657,"positions_per_block":512,"live_blocks":62},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2666,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16208064,"output_witness_len":2719808}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42497,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2719808,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":307653711,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":44},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":1024,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":2334080}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":262144,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":376740}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1012736,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1012736,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":925872640}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9118,"positions_per_block":512,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2334080,"output_witness_len":845760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13215,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845760,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1808345,"positions_per_block":4096,"live_blocks":442},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":56576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":925872640,"output_witness_len":45871616}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":716744,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45871616,"output_witness_len":2867200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":51},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":16384,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35088,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":53900736}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":46},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":53371328}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210550,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":14784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53900736,"output_witness_len":10617344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165896,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10617344,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":104241,"positions_per_block":4096,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53371328,"output_witness_len":17209856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268904,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17209856,"output_witness_len":2344576}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":8192,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":61920,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":134217728,"output_witness_len":52578752}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":407296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":407296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":529254272}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":102693,"positions_per_block":4096,"live_blocks":26},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8944,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":52578752,"output_witness_len":17209856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268904,"positions_per_block":4096,"live_blocks":66},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":17028,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2838,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17209856,"output_witness_len":2344576}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36634,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2344576,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1033700,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":55040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":529254272,"output_witness_len":68264448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1066632,"positions_per_block":8192,"live_blocks":131},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":33798,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5633,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68264448,"output_witness_len":4645312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":72583,"positions_per_block":2048,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1775499422,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4645312,"output_witness_len":1044224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16316,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":361850093,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1044224,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":54},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":2048,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":18576,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":15029696}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":52},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":8192,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":35776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":37519808}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":117420,"positions_per_block":2048,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14964,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":15029696,"output_witness_len":2219392}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34678,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2219392,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":73281,"positions_per_block":4096,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":28208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":37519808,"output_witness_len":14760448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230632,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14760448,"output_witness_len":2171200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":32768,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":117980288}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":37},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":4096,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":25456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":23186880}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":230431,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":19608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":63640,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":117980288,"output_witness_len":26897920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":420280,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26897920,"output_witness_len":3057344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":47771,"positions_per_block":2048,"live_blocks":24},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3057344,"output_witness_len":1011200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15800,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":337185871,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1011200,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":181148,"positions_per_block":2048,"live_blocks":89},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11610,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23186880,"output_witness_len":2827520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44180,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2827520,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":317714117,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":4096,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":12384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5357888}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":53},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":524288,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1166848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1166848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":910367808}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":41859,"positions_per_block":1024,"live_blocks":41},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1763,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5357888,"output_witness_len":1378560}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21540,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1378560,"output_witness_len":649984}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7112249,"positions_per_block":16384,"live_blocks":435},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":56115,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":125474,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":910367808,"output_witness_len":73941504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1155336,"positions_per_block":8192,"live_blocks":142},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":36636,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17114,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":73941504,"output_witness_len":22786624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":356041,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22786624,"output_witness_len":2749120}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":42955,"positions_per_block":2048,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5418,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":903,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2749120,"output_witness_len":953408}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14897,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":308951828,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":953408,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1286109342,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":45},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":256,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":1493952}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":38},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":2048,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":7478144}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5836,"positions_per_block":512,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1493952,"output_witness_len":642112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10033,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":642112,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":14606,"positions_per_block":512,"live_blocks":29},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":7478144,"output_witness_len":1858688}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29042,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1858688,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":512,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":8256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":1773120}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":48},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":4096,"live_blocks":8},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":16512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":18035136}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6927,"positions_per_block":512,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1773120,"output_witness_len":686080}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10720,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1430,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":686080,"output_witness_len":265472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4148,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1186154339,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":265472,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":35225,"positions_per_block":512,"live_blocks":69},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2967,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":18035136,"output_witness_len":2893184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45206,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2893184,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":325502819,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":47},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":65536,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":129344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":217103488}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":43},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3698,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":5618048}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":424031,"positions_per_block":2048,"live_blocks":208},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":26624,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14848,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":217103488,"output_witness_len":22729216}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355144,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22729216,"output_witness_len":2066432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32288,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3067450290,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2066432,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43891,"positions_per_block":1024,"live_blocks":43},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1849,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5618048,"output_witness_len":1417088}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":22142,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4730,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1417088,"output_witness_len":649984}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10156,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":649984,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } } ] diff --git a/crates/jolt-akita/schedules/jolt-fp128-onehot-k256-w8r2.aks b/crates/jolt-akita/schedules/jolt-fp128-onehot-k256-w8r2.aks index edb344366b..3d672df30d 100644 --- a/crates/jolt-akita/schedules/jolt-fp128-onehot-k256-w8r2.aks +++ b/crates/jolt-akita/schedules/jolt-fp128-onehot-k256-w8r2.aks @@ -10,54 +10,54 @@ 49 ], "version": 1, - "protocol_epoch": 5, + "protocol_epoch": 6, "policy_digest": [ - 142, - 197, - 218, - 25, - 123, - 130, - 39, - 44, - 36, - 102, - 100, - 253, - 249, - 240, - 61, - 58, - 175, - 113, - 103, - 149, - 145, - 226, - 235, + 153, + 187, + 168, + 138, + 35, + 207, + 153, + 26, 215, + 10, + 28, + 231, + 104, + 153, + 226, + 153, + 239, + 168, + 44, + 44, + 21, + 5, + 55, + 78, + 101, + 203, + 188, + 219, 192, - 144, - 201, - 18, - 14, - 26, - 35, - 183 + 186, + 106, + 111 ], "family_name": "jolt-fp128-onehot-k256", "rows": [ { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":256,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":1048576,"output_witness_len":1391552}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":2,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":32768,"output_witness_len":1197952}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21743,"positions_per_block":512,"live_blocks":43},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":1670760}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1716,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,20,25,30,35,43]},"input_witness_len":1391552,"output_witness_len":1185728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9359,"positions_per_block":256,"live_blocks":37},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,37]},"input_witness_len":1197952,"output_witness_len":1185728}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18527,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3458,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1185728,"output_witness_len":482304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7536,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2420988062,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":482304,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7536,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2400218191,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":482304,"output_witness_len":247680}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -70,25 +70,25 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":2,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":16384,"output_witness_len":952320}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":256,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":1048576,"output_witness_len":1391552}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7440,"positions_per_block":256,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":1980,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":660,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,12,15,18,21,30]},"input_witness_len":952320,"output_witness_len":1172672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7148,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":457472,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21743,"positions_per_block":512,"live_blocks":43},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":1670760}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1716,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1118,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[5,10,15,20,25,30,35,43]},"input_witness_len":1391552,"output_witness_len":1185728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18527,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3458,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1185728,"output_witness_len":482304}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7536,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2420988062,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":482304,"output_witness_len":247680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":4,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":32768,"output_witness_len":1184192}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":4,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":1184192}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18503,"positions_per_block":512,"live_blocks":37},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":4884,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":814,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,37]},"input_witness_len":1184192,"output_witness_len":1172672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, @@ -96,7 +96,7 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -109,25 +109,25 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":2,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":32768,"output_witness_len":1197952}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":2,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":38836}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":16384,"output_witness_len":952320}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9359,"positions_per_block":256,"live_blocks":37},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":4063108}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,37]},"input_witness_len":1197952,"output_witness_len":1185728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18527,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3458,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1185728,"output_witness_len":482304}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7536,"positions_per_block":512,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2400218191,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":482304,"output_witness_len":247680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3870,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1192644924,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":247680,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7440,"positions_per_block":256,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":1980,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":660,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[3,6,9,12,15,18,21,30]},"input_witness_len":952320,"output_witness_len":1172672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7148,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":457472,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":4,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":1184192}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":8,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":1184192}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18503,"positions_per_block":512,"live_blocks":37},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":4884,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":814,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,37]},"input_witness_len":1184192,"output_witness_len":1172672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, @@ -135,12 +135,12 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":8,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":65536,"output_witness_len":1184192}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":4,"live_blocks":16},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":32768},"input_witness_len":32768,"output_witness_len":1184192}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18503,"positions_per_block":512,"live_blocks":37},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":4884,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":814,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":8,"num_activated_levels":2},"successor_block_len":65536,"witness_chunk_ends":[4,8,12,16,20,24,28,37]},"input_witness_len":1184192,"output_witness_len":1172672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18323,"positions_per_block":1024,"live_blocks":18},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":3168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1172672,"output_witness_len":457472}, @@ -148,7 +148,7 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } } ] diff --git a/crates/jolt-akita/schedules/jolt-fp128-onehot-k256.aks b/crates/jolt-akita/schedules/jolt-fp128-onehot-k256.aks index 52e916344c..3ff4b7dc04 100644 --- a/crates/jolt-akita/schedules/jolt-fp128-onehot-k256.aks +++ b/crates/jolt-akita/schedules/jolt-fp128-onehot-k256.aks @@ -10,420 +10,402 @@ 49 ], "version": 1, - "protocol_epoch": 5, + "protocol_epoch": 6, "policy_digest": [ - 178, - 127, - 137, - 209, - 12, - 206, - 255, - 54, - 99, + 55, + 125, + 76, + 224, + 243, + 124, + 21, + 184, + 217, + 153, + 94, + 169, + 176, + 15, + 30, + 81, + 6, + 119, + 194, + 0, + 248, + 84, + 3, + 210, + 73, + 9, + 115, + 187, + 53, + 93, 118, - 163, - 164, - 65, - 221, - 236, - 121, - 218, - 188, - 110, - 13, - 209, - 43, - 78, - 43, - 196, - 74, - 11, - 154, - 122, - 104, - 113, - 71 + 2 ], "family_name": "jolt-fp128-onehot-k256", "rows": [ { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":8192,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":26822528}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":256,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":432064}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52388,"positions_per_block":1024,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26822528,"output_witness_len":6625792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103528,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6625792,"output_witness_len":1104896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1688,"positions_per_block":256,"live_blocks":7},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":301,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":432064,"output_witness_len":351872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5498,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":351872,"output_witness_len":258048}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4032,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":318687705,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":258048,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2359976567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":128,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":179520}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":2805,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34688}},"input_witness_len":179520} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":42,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17179869184,"positions_per_block":524288,"live_blocks":32768},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4398046511104,"output_witness_len":1348615296}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10536057,"positions_per_block":16384,"live_blocks":644},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":83076,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":143448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1348615296,"output_witness_len":78542848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1227232,"positions_per_block":8192,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38700,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17458,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":78542848,"output_witness_len":22940736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358449,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22940736,"output_witness_len":2768384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43256,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2768384,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":2048,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":6407872}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":32768,"live_blocks":1024},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":78617728}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12516,"positions_per_block":256,"live_blocks":49},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6407872,"output_witness_len":1873536}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29274,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1873536,"output_witness_len":765568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":153551,"positions_per_block":4096,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":78617728,"output_witness_len":13164032}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205688,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13164032,"output_witness_len":1473664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":38,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":536870912,"positions_per_block":131072,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":274877906944,"output_witness_len":494028672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":8192,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":26822528}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":964900,"positions_per_block":8192,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":494028672,"output_witness_len":53864960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":841640,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53864960,"output_witness_len":4105920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64155,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1535347791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4105920,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52388,"positions_per_block":1024,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26822528,"output_witness_len":6625792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103528,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6625792,"output_witness_len":1104896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":8192,"live_blocks":1024},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":42275264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":40,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2147483648,"positions_per_block":131072,"live_blocks":16384},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1099511627776,"output_witness_len":674380928}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82569,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":42275264,"output_witness_len":16989696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":90177536},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1317151,"positions_per_block":4096,"live_blocks":322},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":41216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":53376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":674380928,"output_witness_len":43414016}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":678344,"positions_per_block":8192,"live_blocks":83},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43414016,"output_witness_len":2795520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43680,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2795520,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":18},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":57018240}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":222728,"positions_per_block":2048,"live_blocks":109},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":57018240,"output_witness_len":10740224}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":167816,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10740224,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":128,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":179520}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":2805,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34368}},"input_witness_len":179520} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":37,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268435456,"positions_per_block":65536,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137438953472,"output_witness_len":235814016}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":1147264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":460575,"positions_per_block":2048,"live_blocks":225},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235814016,"output_witness_len":22088192}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":345128,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22088192,"output_witness_len":2037760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4482,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":387,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1147264,"output_witness_len":614528}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9602,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":614528,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":38,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536870912,"positions_per_block":131072,"live_blocks":4096},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":274877906944,"output_witness_len":336704000}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":657625,"positions_per_block":8192,"live_blocks":81},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":336704000,"output_witness_len":26322432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":411288,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26322432,"output_witness_len":2107264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":12,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":16,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":1},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4096,"output_witness_len":69312}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1083,"positions_per_block":256,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":256,"t_field_elems":1024,"z_linf_cap":166,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17664}},"input_witness_len":69312} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":43,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":17179869184,"positions_per_block":524288,"live_blocks":32768},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2818048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2818048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8796093022208,"output_witness_len":2877441920}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":9621952}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":1024,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":2490292}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":360710144},{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5620004,"positions_per_block":16384,"live_blocks":344},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":235296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2877441920,"output_witness_len":151634432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":30117888},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2369288,"positions_per_block":16384,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37410,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17243,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":151634432,"output_witness_len":24941568}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":389712,"positions_per_block":4096,"live_blocks":96},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":24941568,"output_witness_len":2922496}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45664,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2922496,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18793,"positions_per_block":512,"live_blocks":37},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1591,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9621952,"output_witness_len":2056832}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32138,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056832,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":65536,"live_blocks":1024},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":157129792}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8192,"output_witness_len":108416}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1694,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18304}},"input_witness_len":108416} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":914368}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":306895,"positions_per_block":2048,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":157129792,"output_witness_len":20695552}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323368,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20695552,"output_witness_len":1951744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3572,"positions_per_block":256,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914368,"output_witness_len":489472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7648,"positions_per_block":1024,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":489472,"output_witness_len":235520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3680,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":981051865,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235520,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":8192,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":42275264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":512,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":914368}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82569,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":42275264,"output_witness_len":16989696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3572,"positions_per_block":256,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914368,"output_witness_len":489472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7648,"positions_per_block":1024,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":489472,"output_witness_len":235520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3680,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":981051865,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235520,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":128,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":256448}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":1147264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1002,"positions_per_block":256,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":31620}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":256448,"output_witness_len":224256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3504,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":224256,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2427478647,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4482,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":387,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1147264,"output_witness_len":614528}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9602,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":614528,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":914368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":36,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":65536,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68719476736,"output_witness_len":235814016}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3572,"positions_per_block":256,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914368,"output_witness_len":489472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7648,"positions_per_block":1024,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":489472,"output_witness_len":235520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3680,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":981051865,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235520,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":460575,"positions_per_block":2048,"live_blocks":225},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235814016,"output_witness_len":22088192}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":345128,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22088192,"output_witness_len":2037760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":9621952}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":18793,"positions_per_block":512,"live_blocks":37},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1591,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":9621952,"output_witness_len":2056832}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32138,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056832,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16384,"output_witness_len":116608}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1822,"positions_per_block":512,"live_blocks":4},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":192,"t_field_elems":768,"z_linf_cap":155,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":33728}},"input_witness_len":116608} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":32768,"live_blocks":1024},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":78617728}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":4096,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":19108288}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":153551,"positions_per_block":4096,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":78617728,"output_witness_len":13164032}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205688,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13164032,"output_witness_len":1473664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37321,"positions_per_block":512,"live_blocks":73},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19108288,"output_witness_len":2992256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46754,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2992256,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":32768,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":106841984}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":128,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":256448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208676,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":106841984,"output_witness_len":13456896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1002,"positions_per_block":256,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":31620}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":256448,"output_witness_len":224256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3504,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":224256,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2427478647,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":36,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":65536,"live_blocks":2048},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68719476736,"output_witness_len":157129792}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":2507200}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":306895,"positions_per_block":2048,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":157129792,"output_witness_len":20695552}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323368,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20695552,"output_witness_len":1951744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9794,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2507200,"output_witness_len":889792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13903,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889792,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":27},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":76489152}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":512,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":2507200}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":2,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":298786,"positions_per_block":2048,"live_blocks":146},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":23564,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":76489152,"output_witness_len":14866944}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":232296,"positions_per_block":4096,"live_blocks":57},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14706,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2451,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14866944,"output_witness_len":2171200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33925,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2171200,"output_witness_len":848128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9794,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2507200,"output_witness_len":889792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13903,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889792,"output_witness_len":270848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":1},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16384,"output_witness_len":75456}, "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1179,"positions_per_block":256,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":166,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17984}},"input_witness_len":75456} + "terminal": {"blocks":{"live_ring_elements_per_claim":1179,"positions_per_block":256,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":256,"t_field_elems":1024,"z_linf_cap":166,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17664}},"input_witness_len":75456} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":2048,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":2199936}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":41,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8589934592,"positions_per_block":524288,"live_blocks":16384},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2199023255552,"output_witness_len":1348615296}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8594,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2199936,"output_witness_len":845696}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10536057,"positions_per_block":16384,"live_blocks":644},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":83076,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":143448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1348615296,"output_witness_len":78542848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1227232,"positions_per_block":8192,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38700,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17458,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":78542848,"output_witness_len":22940736}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358449,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22940736,"output_witness_len":2768384}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43256,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2768384,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":512,"live_blocks":32},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":2507200}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":512,"live_blocks":8},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":541248}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9794,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2507200,"output_witness_len":889792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13903,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889792,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2115,"positions_per_block":256,"live_blocks":9},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":541248,"output_witness_len":406912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6358,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":406912,"output_witness_len":282624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":365744444,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":179520}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":2805,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34688}},"input_witness_len":179520} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":4096,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":19108288}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37321,"positions_per_block":512,"live_blocks":73},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19108288,"output_witness_len":2992256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46754,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2992256,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":2199936}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":2048,"live_blocks":64},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":2199936}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8594,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2199936,"output_witness_len":845696}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":20},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":1939840}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":37,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":268435456,"positions_per_block":65536,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137438953472,"output_witness_len":235814016}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7578,"positions_per_block":512,"live_blocks":15},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":645,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1939840,"output_witness_len":735488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11492,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":735488,"output_witness_len":275456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1248463951,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":460575,"positions_per_block":2048,"live_blocks":225},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235814016,"output_witness_len":22088192}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":345128,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22088192,"output_witness_len":2037760}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":16384,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":53495680}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":38,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":536870912,"positions_per_block":131072,"live_blocks":4096},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":274877906944,"output_witness_len":336704000}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208968,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53495680,"output_witness_len":10617344}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165896,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10617344,"output_witness_len":1398784}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":657625,"positions_per_block":8192,"live_blocks":81},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":336704000,"output_witness_len":26322432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":411288,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26322432,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":64,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":168640}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":2635,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34688}},"input_witness_len":168640} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":18},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":353612288}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":128,"live_blocks":8},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":256448}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":690649,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":353612288,"output_witness_len":26412544}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":412696,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26412544,"output_witness_len":2107264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1002,"positions_per_block":256,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":31620}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":256448,"output_witness_len":224256}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3504,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":224256,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2427478647,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":42,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8589934592,"positions_per_block":524288,"live_blocks":16384},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4398046511104,"output_witness_len":1975666560}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":20},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":1024,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":1939840}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15434895,"positions_per_block":32768,"live_blocks":472},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":128656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1975666560,"output_witness_len":83144704}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1299136,"positions_per_block":8192,"live_blocks":159},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":41022,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17845,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":83144704,"output_witness_len":23114112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":361158,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23114112,"output_witness_len":2787648}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43557,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2787648,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7578,"positions_per_block":512,"live_blocks":15},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":645,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1939840,"output_witness_len":735488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11492,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":735488,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1248463951,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":256,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":300096}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":512,"live_blocks":16},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":541248}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1173,"positions_per_block":128,"live_blocks":10},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":126852}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":300096,"output_witness_len":215616}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3369,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":215616,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2448248517,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2115,"positions_per_block":256,"live_blocks":9},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":541248,"output_witness_len":406912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6358,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":406912,"output_witness_len":282624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":365744444,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":512,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":914368}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":41,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4294967296,"positions_per_block":262144,"live_blocks":16384},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2199023255552,"output_witness_len":942816384}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3572,"positions_per_block":256,"live_blocks":14},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1204,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":914368,"output_witness_len":489472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7648,"positions_per_block":1024,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1040,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":489472,"output_witness_len":235520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3680,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":981051865,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235520,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1841439,"positions_per_block":4096,"live_blocks":450},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":57600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":61568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":942816384,"output_witness_len":46035456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":719304,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46035456,"output_witness_len":2867200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":16384,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":53495680}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":16384,"live_blocks":512},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":53495680}, "recursive_folds": [ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208968,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53495680,"output_witness_len":10617344}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165896,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10617344,"output_witness_len":1398784}, @@ -432,111 +414,119 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":29},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4988,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4988,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":2067968}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":38,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":536870912,"positions_per_block":131072,"live_blocks":4096},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":274877906944,"output_witness_len":494028672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8078,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2067968,"output_witness_len":801728}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12527,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":801728,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":964900,"positions_per_block":8192,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":494028672,"output_witness_len":53864960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":841640,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53864960,"output_witness_len":4105920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64155,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1535347791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4105920,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":14,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16384,"output_witness_len":116608}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":179520}, "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1822,"positions_per_block":512,"live_blocks":4},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":256,"t_field_elems":1024,"z_linf_cap":155,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34048}},"input_witness_len":116608} + "terminal": {"blocks":{"live_ring_elements_per_claim":2805,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34368}},"input_witness_len":179520} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":12,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4096,"output_witness_len":104320}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1630,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":448,"t_field_elems":1792,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18624}},"input_witness_len":104320} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":16384,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":53495680}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208968,"positions_per_block":2048,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53495680,"output_witness_len":10617344}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":165896,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10617344,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":512,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":2507200}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":18},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":8192,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":45445568}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9794,"positions_per_block":512,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2507200,"output_witness_len":889792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13903,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1820,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":889792,"output_witness_len":270848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4232,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1388985108,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":270848,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355044,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45445568,"output_witness_len":3826624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":59791,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":780,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3826624,"output_witness_len":594432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9288,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2955812234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":594432,"output_witness_len":280960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4390,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1434094671,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280960,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":1024,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":4878784}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":27},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":74304,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":76489152}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19058,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4878784,"output_witness_len":1260992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19703,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1260992,"output_witness_len":616960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":2,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":32505732}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":298786,"positions_per_block":4096,"live_blocks":73},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":25112,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":76489152,"output_witness_len":14944000}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":233500,"positions_per_block":4096,"live_blocks":58},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":14964,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":14944000,"output_witness_len":2190464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":34226,"positions_per_block":1024,"live_blocks":34},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7310,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2190464,"output_witness_len":848128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13252,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":848128,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":27},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":458803072}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":27},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":49092480}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":896100,"positions_per_block":8192,"live_blocks":110},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":458803072,"output_witness_len":26975744}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421496,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26975744,"output_witness_len":2132608}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47315388259,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":383535,"positions_per_block":4096,"live_blocks":94},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24252,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":49092480,"output_witness_len":3961472}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":61898,"positions_per_block":2048,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3961472,"output_witness_len":604416}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9444,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3038891717,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":604416,"output_witness_len":280960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4390,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1434094671,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280960,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16384,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4194304,"output_witness_len":1147264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":42,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8589934592,"positions_per_block":524288,"live_blocks":16384},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4398046511104,"output_witness_len":1975666560}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4482,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":387,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1147264,"output_witness_len":614528}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9602,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":614528,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15434895,"positions_per_block":32768,"live_blocks":472},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":128656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1975666560,"output_witness_len":83144704}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1299136,"positions_per_block":8192,"live_blocks":159},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":41022,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17845,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":83144704,"output_witness_len":23114112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":361158,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23114112,"output_witness_len":2787648}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43557,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2787648,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":4096,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":19108288}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37321,"positions_per_block":512,"live_blocks":73},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19108288,"output_witness_len":2992256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46754,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2992256,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":16,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":64,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":65536,"output_witness_len":168640}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":2635,"positions_per_block":512,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":190,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34368}},"input_witness_len":168640} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":36,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":65536,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68719476736,"output_witness_len":235814016}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":43,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":17179869184,"positions_per_block":524288,"live_blocks":32768},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2818048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2818048,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8796093022208,"output_witness_len":2877441920}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":460575,"positions_per_block":2048,"live_blocks":225},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":28800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":15392,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":235814016,"output_witness_len":22088192}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":345128,"positions_per_block":4096,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16320,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2720,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22088192,"output_witness_len":2037760}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":31840,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3020718080,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4096,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2037760,"output_witness_len":548864}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8576,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":548864,"output_witness_len":245504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1096584271,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":1024,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":2490292}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":5},"setup_natural_len":360710144},{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5620004,"positions_per_block":16384,"live_blocks":344},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":59168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":235296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2877441920,"output_witness_len":151634432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":30117888},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2369288,"positions_per_block":16384,"live_blocks":145},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37410,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17243,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":151634432,"output_witness_len":24941568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":389712,"positions_per_block":4096,"live_blocks":96},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":24941568,"output_witness_len":2922496}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":45664,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2922496,"output_witness_len":991936}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -549,236 +539,227 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":39,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1073741824,"positions_per_block":131072,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":549755813888,"output_witness_len":494028672}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":18},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":396288,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":353612288}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":964900,"positions_per_block":8192,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":494028672,"output_witness_len":53864960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":841640,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53864960,"output_witness_len":4105920}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64155,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1535347791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4105920,"output_witness_len":989184}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":690649,"positions_per_block":8192,"live_blocks":85},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":30008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":353612288,"output_witness_len":26412544}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":412696,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26412544,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":1},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32768,"output_witness_len":83648}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1307,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":182,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18304}},"input_witness_len":83648} - } - }, - { - "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":512,"positions_per_block":128,"live_blocks":4},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":131072,"output_witness_len":256448}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":36,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":134217728,"positions_per_block":65536,"live_blocks":2048},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":68719476736,"output_witness_len":157129792}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1002,"positions_per_block":256,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":31620}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":256448,"output_witness_len":224256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3504,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":224256,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2427478647,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":306895,"positions_per_block":2048,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":157129792,"output_witness_len":20695552}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323368,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20695552,"output_witness_len":1951744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":1024,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":4878784}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19058,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4878784,"output_witness_len":1260992}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19703,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1260992,"output_witness_len":616960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32768,"output_witness_len":146752}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":2293,"positions_per_block":512,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":256,"t_field_elems":1024,"z_linf_cap":174,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34048}},"input_witness_len":146752} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":39,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1073741824,"positions_per_block":131072,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":549755813888,"output_witness_len":674380928}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":32768,"live_blocks":2048},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":106841984}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":90177536},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1317151,"positions_per_block":4096,"live_blocks":322},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":41216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":53376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":674380928,"output_witness_len":43414016}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":678344,"positions_per_block":8192,"live_blocks":83},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43414016,"output_witness_len":2795520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43680,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2795520,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208676,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":106841984,"output_witness_len":13456896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32768,"output_witness_len":146752}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":2293,"positions_per_block":512,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":104244}}}},"fold":{"log_basis":3,"num_digits":3},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":32768,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":174,"z_rice_low_bits":5,"z_payload_bytes":36864}],"logical_num_elems":34368}},"input_witness_len":146752} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":27},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":131072,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":297216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":458803072}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":896100,"positions_per_block":8192,"live_blocks":110},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":9680,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":32208,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":458803072,"output_witness_len":26975744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":421496,"positions_per_block":4096,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":18128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2266,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26975744,"output_witness_len":2132608}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":33322,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":47315388259,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2132608,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":27},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":16384,"live_blocks":32},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":37152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":49092480}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":18},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":16384,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":57018240}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":383535,"positions_per_block":4096,"live_blocks":94},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":24252,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4042,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":49092480,"output_witness_len":3961472}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":61898,"positions_per_block":2048,"live_blocks":31},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4030,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":806,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3961472,"output_witness_len":604416}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9444,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3038891717,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":604416,"output_witness_len":280960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4390,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1434094671,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280960,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":16384,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":8388608},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":222728,"positions_per_block":2048,"live_blocks":109},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":13952,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":7584,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":57018240,"output_witness_len":10740224}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":167816,"positions_per_block":4096,"live_blocks":41},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7872,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":10740224,"output_witness_len":1398784}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":21856,"positions_per_block":1024,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":1920888517,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1398784,"output_witness_len":446464}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6976,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":446464,"output_witness_len":294912}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4608,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":409880419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":294912,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":8192,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":26822528}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":32768,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":106841984}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52388,"positions_per_block":1024,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26822528,"output_witness_len":6625792}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103528,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6625792,"output_witness_len":1104896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208676,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":106841984,"output_witness_len":13456896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":40,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2147483648,"positions_per_block":131072,"live_blocks":16384},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1099511627776,"output_witness_len":674380928}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4194304,"positions_per_block":8192,"live_blocks":512},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2147483648,"output_witness_len":42275264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":90177536},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1317151,"positions_per_block":4096,"live_blocks":322},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":41216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":53376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":674380928,"output_witness_len":43414016}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":678344,"positions_per_block":8192,"live_blocks":83},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43414016,"output_witness_len":2795520}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43680,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2795520,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82569,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":42275264,"output_witness_len":16989696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":37,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":268435456,"positions_per_block":131072,"live_blocks":2048},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137438953472,"output_witness_len":336704000}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":43,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17179869184,"positions_per_block":524288,"live_blocks":32768},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8796093022208,"output_witness_len":1975666560}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":657625,"positions_per_block":8192,"live_blocks":81},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":336704000,"output_witness_len":26322432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":411288,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26322432,"output_witness_len":2107264}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15434895,"positions_per_block":32768,"live_blocks":472},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":128656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1975666560,"output_witness_len":83144704}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1299136,"positions_per_block":8192,"live_blocks":159},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":41022,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17845,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":83144704,"output_witness_len":23114112}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":361158,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23114112,"output_witness_len":2787648}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43557,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2787648,"output_witness_len":972672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":41,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":8589934592,"positions_per_block":524288,"live_blocks":16384},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2199023255552,"output_witness_len":1348615296}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":29},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":2048,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4988,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4988,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":2067968}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10536057,"positions_per_block":16384,"live_blocks":644},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":83076,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":143448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1348615296,"output_witness_len":78542848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1227232,"positions_per_block":8192,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38700,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17458,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":78542848,"output_witness_len":22940736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358449,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22940736,"output_witness_len":2768384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43256,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2768384,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8078,"positions_per_block":512,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2067968,"output_witness_len":801728}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12527,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":801728,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":1},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8192,"output_witness_len":71360}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":15,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":256,"positions_per_block":128,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":1},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":32768,"output_witness_len":83648}, "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1115,"positions_per_block":256,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":166,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17984}},"input_witness_len":71360} + "terminal": {"blocks":{"live_ring_elements_per_claim":1307,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":182,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17984}},"input_witness_len":83648} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":43,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17179869184,"positions_per_block":524288,"live_blocks":32768},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8796093022208,"output_witness_len":1975666560}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":4096,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":12767680}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15434895,"positions_per_block":32768,"live_blocks":472},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":60888,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":128656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1975666560,"output_witness_len":83144704}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1299136,"positions_per_block":8192,"live_blocks":159},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":41022,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17845,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":83144704,"output_witness_len":23114112}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":361158,"positions_per_block":4096,"live_blocks":89},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22962,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3827,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":23114112,"output_witness_len":2787648}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43557,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2787648,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":2097152},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49874,"positions_per_block":1024,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12767680,"output_witness_len":5071360}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":79240,"positions_per_block":2048,"live_blocks":39},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1248,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5071360,"output_witness_len":976896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15264,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":976896,"output_witness_len":405504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6336,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":405504,"output_witness_len":282624}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":386514314,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":256,"live_blocks":16},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":432064}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":35,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":67108864,"positions_per_block":65536,"live_blocks":1024},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":65536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":176128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":34359738368,"output_witness_len":157129792}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1688,"positions_per_block":256,"live_blocks":7},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":301,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":432064,"output_witness_len":351872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":5498,"positions_per_block":512,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":1760,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":351872,"output_witness_len":258048}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4032,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":318687705,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":258048,"output_witness_len":121856}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2359976567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":256,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":4864,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":32768,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":33554432},{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":306895,"positions_per_block":2048,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":19200,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":12992,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":157129792,"output_witness_len":20695552}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":323368,"positions_per_block":4096,"live_blocks":79},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15168,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":20695552,"output_witness_len":1951744}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":30496,"positions_per_block":1024,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":4800,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":960,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1951744,"output_witness_len":589824}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9216,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1170,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":234,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":589824,"output_witness_len":245504}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3836,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1101776739,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":245504,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":32768,"live_blocks":512},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":78617728}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":153551,"positions_per_block":4096,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":78617728,"output_witness_len":13164032}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205688,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13164032,"output_witness_len":1473664}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":1},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8192,"output_witness_len":71360}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1115,"positions_per_block":256,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":256,"t_field_elems":1024,"z_linf_cap":166,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17664}},"input_witness_len":71360} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8388608,"output_witness_len":1147264}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":1024,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":33554432,"output_witness_len":4878784}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4482,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":387,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1147264,"output_witness_len":614528}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9602,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":614528,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19058,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4878784,"output_witness_len":1260992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19703,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1260992,"output_witness_len":616960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":4096,"live_blocks":256},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":19108288}, - "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":37321,"positions_per_block":512,"live_blocks":73},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3440,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3139,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":19108288,"output_witness_len":2992256}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":46754,"positions_per_block":2048,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5934,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":989,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2992256,"output_witness_len":991936}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15499,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":326800936,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":991936,"output_witness_len":288768}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} - ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":12,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":64,"positions_per_block":32,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":32,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4096,"output_witness_len":104320}, + "recursive_folds": [], + "terminal": {"blocks":{"live_ring_elements_per_claim":1630,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18304}},"input_witness_len":104320} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":18},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":8192,"live_blocks":64},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":49536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":45445568}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":65536,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":7812}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16777216,"output_witness_len":2199936}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":355044,"positions_per_block":4096,"live_blocks":87},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22446,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3741,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":45445568,"output_witness_len":3826624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":59791,"positions_per_block":2048,"live_blocks":30},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3900,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":780,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":3826624,"output_witness_len":594432}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9288,"positions_per_block":512,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2955812234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":494,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":594432,"output_witness_len":280960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4390,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1434094671,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280960,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8594,"positions_per_block":512,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1462,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2199936,"output_witness_len":845696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13214,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":845696,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":12,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32,"positions_per_block":16,"live_blocks":2},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":16,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":1},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4096,"output_witness_len":69312}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1083,"positions_per_block":256,"live_blocks":5},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":166,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":17984}},"input_witness_len":69312} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":40,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2147483648,"positions_per_block":262144,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1099511627776,"output_witness_len":942816384}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1841439,"positions_per_block":4096,"live_blocks":450},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":57600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":61568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":942816384,"output_witness_len":46035456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":719304,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46035456,"output_witness_len":2867200}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -790,72 +771,72 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4032,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":318687705,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":258048,"output_witness_len":121856}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2359976567,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":256,"live_blocks":8},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":300096}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":2048,"live_blocks":64},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":6407872}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1173,"positions_per_block":128,"live_blocks":10},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":126852}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":300096,"output_witness_len":215616}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3369,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":215616,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2448248517,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12516,"positions_per_block":256,"live_blocks":49},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":2408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6407872,"output_witness_len":1873536}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":29274,"positions_per_block":1024,"live_blocks":29},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6235,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1247,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1873536,"output_witness_len":765568}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11962,"positions_per_block":1024,"live_blocks":12},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":312,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":765568,"output_witness_len":275456}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":34,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":33554432,"positions_per_block":32768,"live_blocks":1024},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":17179869184,"output_witness_len":106841984}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":39,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1073741824,"positions_per_block":131072,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":549755813888,"output_witness_len":674380928}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":208676,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":4488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":15752,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":106841984,"output_witness_len":13456896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":210264,"positions_per_block":4096,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":9152,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13456896,"output_witness_len":1486336}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23224,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":28497885342,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1486336,"output_witness_len":431872}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":90177536},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1317151,"positions_per_block":4096,"live_blocks":322},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":41216,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":53376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":674380928,"output_witness_len":43414016}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":678344,"positions_per_block":8192,"live_blocks":83},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":15936,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":43414016,"output_witness_len":2795520}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43680,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2795520,"output_witness_len":718848}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3088220160,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":4096,"positions_per_block":512,"live_blocks":8},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1048576,"output_witness_len":541248}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":1024,"live_blocks":128},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":67108864,"output_witness_len":4878784}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2115,"positions_per_block":256,"live_blocks":9},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":541248,"output_witness_len":406912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6358,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":406912,"output_witness_len":282624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":365744444,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19058,"positions_per_block":1024,"live_blocks":19},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3268,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4878784,"output_witness_len":1260992}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":19703,"positions_per_block":1024,"live_blocks":20},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":4300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1260992,"output_witness_len":616960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":9640,"positions_per_block":1024,"live_blocks":10},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1300,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":260,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":616960,"output_witness_len":255488}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3992,"positions_per_block":512,"live_blocks":8},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1117354142,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":176,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":255488,"output_witness_len":121856}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1904,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2380746437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":121856,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":41,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4294967296,"positions_per_block":262144,"live_blocks":16384},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2199023255552,"output_witness_len":942816384}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":1024,"positions_per_block":256,"live_blocks":4},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":262144,"output_witness_len":300096}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1841439,"positions_per_block":4096,"live_blocks":450},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":57600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":61568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":942816384,"output_witness_len":46035456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":719304,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46035456,"output_witness_len":2867200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1173,"positions_per_block":128,"live_blocks":10},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":126852}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":300096,"output_witness_len":215616}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3369,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":215616,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2448248517,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1048576,"positions_per_block":4096,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":536870912,"output_witness_len":12767680}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":8192,"live_blocks":256},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1073741824,"output_witness_len":26822528}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":2,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":13369140}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":8192,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":2097152},{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":49874,"positions_per_block":1024,"live_blocks":49},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":6272,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3616,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12767680,"output_witness_len":5071360}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":79240,"positions_per_block":2048,"live_blocks":39},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":7488,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1248,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":5071360,"output_witness_len":976896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15264,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2400,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":480,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":976896,"output_witness_len":405504}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6336,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":405504,"output_witness_len":282624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":386514314,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":8,"num_digits":16},"matrix":{"output_rank":1,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":3014564}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":6656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":52388,"positions_per_block":1024,"live_blocks":52},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":94116}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":5408,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":6032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26822528,"output_witness_len":6625792}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":23,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":103528,"positions_per_block":2048,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":9282,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1326,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":6625792,"output_witness_len":1104896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17264,"positions_per_block":1024,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":7,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":3094,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":442,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1104896,"output_witness_len":455680}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":7120,"positions_per_block":512,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":6,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":2184,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":455680,"output_witness_len":285952}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4468,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1431498437,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285952,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { @@ -868,68 +849,87 @@ {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4304,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1253656419,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":275456,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":4096,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":12723904}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":39,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1073741824,"positions_per_block":131072,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":549755813888,"output_witness_len":494028672}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":99406,"positions_per_block":2048,"live_blocks":49},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12723904,"output_witness_len":2056960}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32140,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056960,"output_witness_len":815104}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":964900,"positions_per_block":8192,"live_blocks":118},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":20296,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":64328,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":494028672,"output_witness_len":53864960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":841640,"positions_per_block":8192,"live_blocks":103},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":26574,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":4429,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":53864960,"output_witness_len":4105920}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":64155,"positions_per_block":2048,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1535347791,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5504,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4105920,"output_witness_len":989184}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15456,"positions_per_block":1024,"live_blocks":16},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":333616050,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1664,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":989184,"output_witness_len":288768}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4512,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1343226487,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288768,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":512,"live_blocks":16},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2097152,"output_witness_len":541248}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":32,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8388608,"positions_per_block":8192,"live_blocks":1024},"outer_slice_count":8,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4294967296,"output_witness_len":42275264}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2115,"positions_per_block":256,"live_blocks":9},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":860,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":774,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":541248,"output_witness_len":406912}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6358,"positions_per_block":512,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":2080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":416,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":406912,"output_witness_len":282624}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4416,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":365744444,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":282624,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2552097871,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8192,"positions_per_block":128,"live_blocks":64},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":1,"input_width":1536,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":6},"setup_natural_len":4194304},{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":82569,"positions_per_block":4096,"live_blocks":21},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7224,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29240,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":42275264,"output_witness_len":16989696}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":265464,"positions_per_block":4096,"live_blocks":65},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":16770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2795,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":16989696,"output_witness_len":2325312}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":36333,"positions_per_block":1024,"live_blocks":36},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":7740,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1548,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2325312,"output_witness_len":881152}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":13768,"positions_per_block":1024,"live_blocks":14},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":328748111,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1456,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":364,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":881152,"output_witness_len":272128}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4252,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1239377133,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":272128,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":40,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":2147483648,"positions_per_block":262144,"live_blocks":8192},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":262144,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":704512,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1099511627776,"output_witness_len":942816384}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":33,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":16777216,"positions_per_block":32768,"live_blocks":512},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":32768,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":63364}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":88064,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":44032,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8589934592,"output_witness_len":78617728}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":262144,"positions_per_block":512,"live_blocks":512},"outer_slice_count":1,"inner":{"digits":{"log_basis":7,"num_digits":19},"matrix":{"output_rank":1,"input_width":9728,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":8126340}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":65536,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":4},"setup_natural_len":134217728},{"profile":{"version":4,"group":{"num_vars":30,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1841439,"positions_per_block":4096,"live_blocks":450},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":1,"input_width":57600,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":61568,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":942816384,"output_witness_len":46035456}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":719304,"positions_per_block":8192,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":4,"num_digits":32},"matrix":{"output_rank":2,"input_width":16896,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":15},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":4,"num_digits_open":32,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2816,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":15},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":46035456,"output_witness_len":2867200}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":44800,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":4,"num_digits":1},"matrix":{"output_rank":7,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":6684468}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":2,"input_width":4004,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":572,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2867200,"output_witness_len":718848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":11232,"positions_per_block":1024,"live_blocks":11},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":3098605096,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1144,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":286,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":718848,"output_witness_len":288128}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4502,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1268260234,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":288128,"output_witness_len":128896}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32768,"positions_per_block":256,"live_blocks":128},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":3328,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":11264,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":16777216},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":153551,"positions_per_block":4096,"live_blocks":38},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":3344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":14608,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":78617728,"output_witness_len":13164032}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":205688,"positions_per_block":4096,"live_blocks":51},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":8976,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1122,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":13164032,"output_witness_len":1473664}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":23026,"positions_per_block":1024,"live_blocks":23},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":27957868702,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":2530,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":506,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1473664,"output_witness_len":431872}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":6748,"positions_per_block":1024,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":431872,"output_witness_len":222976}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3484,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":222976,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":13,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":128,"positions_per_block":64,"live_blocks":2},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":64,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":258,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":172,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":8192,"output_witness_len":108416}, - "recursive_folds": [], - "terminal": {"blocks":{"live_ring_elements_per_claim":1694,"positions_per_block":256,"live_blocks":7},"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"fold":{"log_basis":5,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":448,"t_field_elems":1792,"z_linf_cap":196,"z_rice_low_bits":5,"z_payload_bytes":18432}],"logical_num_elems":18624}},"input_witness_len":108416} + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2048,"positions_per_block":256,"live_blocks":8},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":256,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":12852}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":688,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":344,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":524288,"output_witness_len":300096}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1173,"positions_per_block":128,"live_blocks":10},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":128,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":126852}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":520,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":300096,"output_witness_len":215616}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3369,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":215616,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2448248517,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } }, { "schedule": { - "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":42,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":17179869184,"positions_per_block":524288,"live_blocks":32768},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":2,"input_width":524288,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":256,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":1409024,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":4398046511104,"output_witness_len":1348615296}, + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":37,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":268435456,"positions_per_block":131072,"live_blocks":2048},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":131072,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":47012}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":256}},"fold_challenge_config":{"count_pm1":23,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":352256,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":137438953472,"output_witness_len":336704000}, "recursive_folds": [ - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2097152,"positions_per_block":2048,"live_blocks":1024},"outer_slice_count":1,"inner":{"digits":{"log_basis":11,"num_digits":12},"matrix":{"output_rank":5,"input_width":24576,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":260046724}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":220160,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":268435456},{"profile":{"version":4,"group":{"num_vars":31,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":10536057,"positions_per_block":16384,"live_blocks":644},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":16384,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":507780}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":83076,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":128}},"fold_challenge_config":{"count_pm1":31,"count_pm2":0},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":143448,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":1348615296,"output_witness_len":78542848}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":2048,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":12,"num_digits":11},"matrix":{"output_rank":10,"input_width":22528,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":427818804}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":2,"input_width":110080,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":7},"setup_natural_len":28180480},{"profile":{"version":4,"group":{"num_vars":27,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1227232,"positions_per_block":8192,"live_blocks":150},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":38700,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":17458,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":78542848,"output_witness_len":22940736}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":358449,"positions_per_block":4096,"live_blocks":88},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22704,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":3784,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":22940736,"output_witness_len":2768384}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":43256,"positions_per_block":2048,"live_blocks":22},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":6,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":5676,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":946,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2768384,"output_witness_len":972672}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":15198,"positions_per_block":1024,"live_blocks":15},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":4,"input_width":1024,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":8796093022208},"response_l2_sq_cap":316416000,"norm_proof_shape":{"Direct":{"physical_response_len":65536}}}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1560,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":390,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":972672,"output_witness_len":280448}, - {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4382,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1291301810,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":280448,"output_witness_len":128896}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":26,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":131072,"positions_per_block":512,"live_blocks":256},"outer_slice_count":1,"inner":{"digits":{"log_basis":10,"num_digits":13},"matrix":{"output_rank":1,"input_width":6656,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":19922868}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":22528,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":67108864},{"profile":{"version":4,"group":{"num_vars":29,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":657625,"positions_per_block":8192,"live_blocks":81},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":8192,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":311220}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":7128,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":128,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":512}},"fold_challenge_config":{"count_pm1":19,"count_pm2":0},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":29656,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":128,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":336704000,"output_witness_len":26322432}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":25,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":411288,"positions_per_block":4096,"live_blocks":101},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":8,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":53477172}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":17776,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":2,"input_width":2222,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":26322432,"output_witness_len":2107264}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":22,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32926,"positions_per_block":2048,"live_blocks":17},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":2048,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":1125899906842624},"response_l2_sq_cap":46401513945,"norm_proof_shape":{"Direct":{"physical_response_len":131072}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":1870,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":374,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2107264,"output_witness_len":569600}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":8900,"positions_per_block":1024,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":990,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":569600,"output_witness_len":207104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":18,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":3236,"positions_per_block":512,"live_blocks":7},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":5,"input_width":512,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":770,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":154,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":207104,"output_witness_len":124672}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":1948,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2489788259,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":124672,"output_witness_len":93696} + ], + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} + } + }, + { + "schedule": { + "root": {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":28,"num_polynomials":2},"blocks":{"live_ring_elements_per_claim":524288,"positions_per_block":4096,"live_blocks":128},"outer_slice_count":4,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":1,"input_width":4096,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":512,"coeff_linf_bound":104244}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":22016,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":3},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":11008,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":268435456,"output_witness_len":12723904}, + "recursive_folds": [ + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":24,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":99406,"positions_per_block":2048,"live_blocks":49},"outer_slice_count":2,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":3,"input_width":2048,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":128,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6450,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":{"SubringCoefficientPacking":{"challenge_subring_dimension":64}},"fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":2107,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"QuotientLift","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":12723904,"output_witness_len":2056960}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":21,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":32140,"positions_per_block":1024,"live_blocks":32},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":835380}}}},"outer":{"digits":{"log_basis":3,"num_digits":43},"matrix":{"output_rank":1,"input_width":6880,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":7},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":3,"num_digits_open":43,"num_digits_fold":4},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":1376,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":7},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":2056960,"output_witness_len":815104}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":20,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":12736,"positions_per_block":1024,"live_blocks":13},"outer_slice_count":1,"inner":{"digits":{"log_basis":3,"num_digits":1},"matrix":{"output_rank":5,"input_width":1024,"security_route":{"Linf":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Inner","ring_dimension":64,"coeff_linf_bound":208692}}}},"outer":{"digits":{"log_basis":5,"num_digits":26},"matrix":{"output_rank":1,"input_width":1690,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":31},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":10},"log_basis_open":5,"num_digits_open":26,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":338,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":31},"role":null},"payload_mode":"Compressed","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":815104,"output_witness_len":285440}, + {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":19,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":4460,"positions_per_block":512,"live_blocks":9},"outer_slice_count":1,"inner":{"digits":{"log_basis":5,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1326350967,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":2,"input_width":792,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":198,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":285440,"output_witness_len":128896}, {"params":{"groups":{"entries":[{"profile":{"version":4,"group":{"num_vars":17,"num_polynomials":1},"blocks":{"live_ring_elements_per_claim":2014,"positions_per_block":512,"live_blocks":4},"outer_slice_count":1,"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":512,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":70368744177664},"response_l2_sq_cap":2562482807,"norm_proof_shape":{"Direct":{"physical_response_len":32768}}}}}},"outer":{"digits":{"log_basis":6,"num_digits":22},"matrix":{"output_rank":1,"input_width":352,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Outer","ring_dimension":64,"coeff_linf_bound":63},"role":null}}},"opening":{"opening_method":"EvaluationTrace","fold_challenge_config":{"count_pm1":31,"count_pm2":11},"log_basis_open":6,"num_digits_open":22,"num_digits_fold":2},"setup_natural_len":null}]},"open_matrix":{"output_rank":1,"input_width":88,"sis_table_key":{"policy":"Quantum169BitADPS16","table_digest":[131,91,64,79,1,209,225,36,172,155,108,249,193,239,196,179,254,204,110,242,98,34,206,190,203,186,145,120,241,167,127,204],"modulus_profile":"Q128OffsetA7F7","role":"Open","ring_dimension":64,"coeff_linf_bound":63},"role":null},"payload_mode":"Raw","ring_relation_mode":"ReducedEvaluation","source_encoding":"CanonicalCoefficientTable","witness_chunk":{"num_chunks":1,"num_activated_levels":0}},"input_witness_len":128896,"output_witness_len":93696} ], - "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":384,"t_field_elems":1536,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":18304}},"input_witness_len":93696} + "terminal": {"blocks":{"live_ring_elements_per_claim":1464,"positions_per_block":256,"live_blocks":6},"inner":{"digits":{"log_basis":6,"num_digits":1},"matrix":{"output_rank":4,"input_width":256,"security_route":{"L2":{"table_key":{"policy":"Quantum169BitADPS16","table_digest":[3,126,213,33,226,114,138,57,100,253,97,64,69,227,25,210,137,60,200,228,88,30,32,202,178,122,87,237,236,245,206,222],"modulus_profile":"Q128OffsetA7F7","ring_dimension":64,"collision_l2_sq":35184372088832},"response_l2_sq_cap":1668080247,"norm_proof_shape":{"Direct":{"physical_response_len":16384}}}}}},"fold":{"log_basis":6,"num_digits":2},"fold_challenge_config":{"count_pm1":31,"count_pm2":11},"response_shape":{"layout":{"ring_dimension":64,"groups":[{"z_coords":16384,"e_field_elems":320,"t_field_elems":1280,"z_linf_cap":null,"z_rice_low_bits":8,"z_payload_bytes":24576}],"logical_num_elems":17984}},"input_witness_len":93696} } } ] diff --git a/crates/jolt-akita/src/adapters.rs b/crates/jolt-akita/src/adapters.rs index 62efa9b75e..77c6a3c43f 100644 --- a/crates/jolt-akita/src/adapters.rs +++ b/crates/jolt-akita/src/adapters.rs @@ -662,7 +662,7 @@ impl AkitaVerifierSetup { CatalogSource::Artifact(bytes) => { AkitaOneHotBackendScheme::from_artifact(family, bytes) } - #[rustfmt::skip] CatalogSource::VerifierView(view) => { #[cfg(feature = "prevalidated-catalog")] if let Some(scheme) = crate::prevalidated_catalog::one_hot_scheme(family, view) { return scheme; } + CatalogSource::VerifierView(view) => { AkitaOneHotBackendScheme::from_verifier_view(family, view) } }) @@ -1099,7 +1099,7 @@ impl AkitaBatchProof { self.schedule_selection } - /// Headerless backend proof body: Akita's Spongefish argument bytes. + /// Headerless backend proof body: Akita's v8 argument bytes. pub fn backend_proof_body_size(&self) -> usize { self.backend_proof.len() } @@ -1411,22 +1411,6 @@ where Ok(bridged_session) } -#[cfg(all(feature = "prevalidated-catalog", not(target_arch = "riscv64")))] -impl AkitaVerifierSetup { - /// Host: the source of the prevalidated one-hot catalog file for a guest - /// that embeds this setup (see the `prevalidated_catalog` module). Needs - /// this setup's prepared one-hot verifier view (payloads attached). - pub fn prevalidated_catalog_source(&self) -> Result { - let CatalogSource::VerifierView(view) = self.catalog_source(AkitaBackendFlavor::OneHot)? - else { - return Err("the one-hot catalog is not a prepared verifier view".to_owned()); - }; - let family = OneHotFamily::from_parts(self.one_hot_k, self.akita_chunk_profile()) - .map_err(|error| error.to_string())?; - crate::prevalidated_catalog::render(family, view).map_err(|error| error.to_string()) - } -} - #[cfg(test)] mod tests { #![expect( diff --git a/crates/jolt-akita/src/bin/check_grouped_schedules.rs b/crates/jolt-akita/src/bin/check_grouped_schedules.rs index 34d5d80b2d..9c369d2794 100644 --- a/crates/jolt-akita/src/bin/check_grouped_schedules.rs +++ b/crates/jolt-akita/src/bin/check_grouped_schedules.rs @@ -128,6 +128,7 @@ fn main() -> Result<(), Box> { let result = params.extend_catalog(&dense, &full_dense, &catalog, k, profile) .and_then(|extended| { let key = ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group: PolynomialGroupLayout::new(final_arity, 1), precommitteds, }; diff --git a/crates/jolt-akita/src/lib.rs b/crates/jolt-akita/src/lib.rs index 879e037803..1b1b707f68 100644 --- a/crates/jolt-akita/src/lib.rs +++ b/crates/jolt-akita/src/lib.rs @@ -75,11 +75,3 @@ pub use trace_onehot::{no_selected_row, TraceOneHotColumn, TraceOneHotRows}; pub use adapters::{jolt_to_akita_evals, reverse_point}; pub use verifier_resources::AkitaVerifierResources; - -#[cfg(feature = "carry-graph")] -pub use akita_algebra::offset_eq::carry_graph; - -#[cfg(feature = "prevalidated-catalog")] -mod prevalidated_catalog; -#[cfg(feature = "prevalidated-catalog")] -pub use prevalidated_catalog::{EMPTY_PREVALIDATED_CATALOG_SOURCE, PREVALIDATED_CATALOG_VARIABLE}; diff --git a/crates/jolt-akita/src/native_batching.rs b/crates/jolt-akita/src/native_batching.rs index 0018c88c26..0075962705 100644 --- a/crates/jolt-akita/src/native_batching.rs +++ b/crates/jolt-akita/src/native_batching.rs @@ -19,6 +19,7 @@ use akita_config::{CommitmentConfig, TrustedScheduleCatalog}; use akita_params::{BasisMode, OpeningScheduleSelection}; use akita_pcs::{AkitaError, SelectedProverOpeningData}; use akita_types::{GroupBatchStatement, OpeningClaims, PolynomialGroupClaims}; +use akita_verifier::SetupPolicy; use jolt_openings::{ BatchOpeningScheme, CommitmentGroupRole, GroupOpeningClaim, GroupOpeningWithHint, OpeningsError, TaggedGroupOpeningClaim, VerifierOpeningClaim, @@ -253,6 +254,7 @@ fn verify_one_hot_statement( session, statement, BasisMode::Lagrange, + SetupPolicy::Check(None), )) }); verified.map_err(|_| OpeningsError::VerificationFailed) @@ -753,6 +755,7 @@ impl BatchOpeningScheme for AkitaNativeBatching { &session, batch_statement, BasisMode::Lagrange, + SetupPolicy::Check(None), ) }) .map_err(|_| OpeningsError::VerificationFailed) diff --git a/crates/jolt-akita/src/prevalidated_catalog.rs b/crates/jolt-akita/src/prevalidated_catalog.rs deleted file mode 100644 index 2c9aededd1..0000000000 --- a/crates/jolt-akita/src/prevalidated_catalog.rs +++ /dev/null @@ -1,229 +0,0 @@ -//! Prevalidated one-hot catalog views (feature `prevalidated-catalog`, default -//! off). -//! -//! Loading the prepared one-hot catalog view repeats, on every verification, -//! the catalog's semantic audit, its digest over every row identity and a -//! canonical re-encode. All of it is a function of the view bytes and the -//! family's compile-time config. The recursion host loads the view it embeds -//! into the guest image through Akita's canonical loader before the guest -//! build, records what loading derived, and names a generated file in -//! `JOLT_PREVALIDATED_CATALOG_RS`; the guest includes it. At run time the -//! record is used only for the recorded family and for view bytes equal to the -//! recorded ones (length, then every byte, then the runtime policy digest); any -//! other view is loaded by the canonical path, so the record never changes -//! what is accepted. The generated file instantiates the rebuild for its own -//! family only, so a guest carries one copy. - -use akita_config::{CommitmentConfig, TrustedScheduleCatalog}; -use akita_pcs::AkitaError; -use akita_schedules::PrevalidatedVerifierView; - -use crate::configs::AkitaChunkProfile; -use crate::one_hot_family::{AkitaOneHotBackendScheme, OneHotFamily, OneHotFamilyKind}; - -/// Environment variable naming the generated file for a guest build. -pub const PREVALIDATED_CATALOG_VARIABLE: &str = "JOLT_PREVALIDATED_CATALOG_RS"; - -/// The commitment config of each one-hot family variant (the -/// `one_hot_families!` list); the host dispatch below checks every arm against -/// the variant's constructor at compile time. -#[cfg_attr(target_arch = "riscv64", allow(unused_macros))] -macro_rules! cfg_of { - (K16) => { - crate::configs::JoltOneHotK16 - }; - (K256) => { - crate::configs::JoltOneHotK256 - }; -} - -/// The scheme over `view` for `expected`'s config, or `None` when `family` is -/// another family (kind or witness chunking profile) or the view does not -/// match the record. -#[cfg_attr(target_arch = "riscv64", allow(dead_code))] -#[inline(never)] -fn rebuild_one( - family: OneHotFamily, - expected: (OneHotFamilyKind, AkitaChunkProfile), - variant: fn(TrustedScheduleCatalog) -> AkitaOneHotBackendScheme, - view: &[u8], - prevalidated: &PrevalidatedVerifierView<'_>, -) -> Option { - if (family.kind, family.profile()) != expected { - return None; - } - TrustedScheduleCatalog::::from_prevalidated_verifier_view( - view, - prevalidated, - family.profile().witness_cfg(), - ) - .map(variant) -} - -/// The generated file's view bytes, aligned to 8 bytes. The setup section -/// embeds the same bytes 8-aligned, and the run-time comparison of the two -/// copies takes its word loop only when both addresses agree modulo 8, so the -/// alignment keeps that comparison independent of the guest's data layout. -#[cfg_attr( - all(not(target_arch = "riscv64"), not(test)), - expect( - dead_code, - reason = "only the generated guest file and the tests name it" - ) -)] -#[repr(C, align(8))] -struct AlignedViewBytes([u8; N]); - -#[cfg(target_arch = "riscv64")] -mod compiled { - include!(env!("JOLT_PREVALIDATED_CATALOG_RS")); -} -#[cfg(not(target_arch = "riscv64"))] -mod compiled { - use super::{AkitaOneHotBackendScheme, OneHotFamily}; - - pub(super) fn rebuild(_family: OneHotFamily, _view: &[u8]) -> Option { - None - } -} - -/// The one-hot scheme over `view` from the compiled prevalidated view, or -/// `None` when it does not match (the caller then loads `view` canonically). -#[inline(never)] -pub(crate) fn one_hot_scheme( - family: OneHotFamily, - view: &[u8], -) -> Option> { - compiled::rebuild(family, view).map(Ok) -} - -#[cfg(not(target_arch = "riscv64"))] -macro_rules! define_prevalidated_host { - (; $(($variant:ident, $k:path, $cfg:ty)),+ $(,)?) => { - /// Host: canonical load of `view` for `family`, the variant's name, and a - /// rebuild of the result through `rebuild_one` with the same config the - /// generated file names (a wrong `cfg_of!` arm does not compile). - fn prevalidate( - family: OneHotFamily, - view: &[u8], - ) -> Result<(akita_schedules::PrevalidatedVerifierRecord, &'static str, bool), AkitaError> { - match family.kind { - $(OneHotFamilyKind::$variant => { - let record = TrustedScheduleCatalog::::prevalidate_verifier_view( - view, - family.profile().witness_cfg(), - )?; - let prevalidated = PrevalidatedVerifierView { - view, - policy_digest: record.policy_digest, - catalog_digest: record.catalog_digest, - carried_row_digests: &record.carried_row_digests, - }; - let rebuilt = rebuild_one::( - family, - (OneHotFamilyKind::$variant, family.profile()), - |catalog| AkitaOneHotBackendScheme::$variant(akita_pcs::AkitaCommitmentScheme::new(catalog)), - view, - &prevalidated, - ) - .is_some(); - Ok((record, stringify!($variant), rebuilt)) - }),+ - } - } - }; -} -#[cfg(not(target_arch = "riscv64"))] -crate::one_hot_family::one_hot_families!(define_prevalidated_host {}); - -/// Host: the generated file's source for `view` (one prevalidated view of -/// `family`), or an error when canonical loading or the rebuild check fails. -#[cfg(not(target_arch = "riscv64"))] -pub(crate) fn render(family: OneHotFamily, view: &[u8]) -> Result { - let (record, variant, rebuilt) = prevalidate(family, view)?; - if !rebuilt { - return Err(AkitaError::InvalidSetup( - "prevalidated one-hot catalog view does not rebuild".into(), - )); - } - let bytes = |bytes: &[u8]| { - bytes - .iter() - .map(u8::to_string) - .collect::>() - .join(",") - }; - let rows = record - .carried_row_digests - .iter() - .map(|digest| format!("[{}]", bytes(digest))) - .collect::>() - .join(","); - Ok(source( - variant, - family.profile(), - view.len(), - &bytes(view), - &bytes(&record.policy_digest), - &bytes(&record.catalog_digest), - &rows, - )) -} - -/// Host: the generated file's text from its rendered parts. The view bytes -/// go into an `AlignedViewBytes` static that the view borrows. -#[cfg(not(target_arch = "riscv64"))] -fn source( - variant: &str, - profile: AkitaChunkProfile, - view_len: usize, - view: &str, - policy_digest: &str, - catalog_digest: &str, - rows: &str, -) -> String { - let (chunks, levels) = (profile.chunks, profile.levels); - format!( - "static VIEW_BYTES: super::AlignedViewBytes<{view_len}> = super::AlignedViewBytes([{view}]);\nstatic VIEW: akita_schedules::PrevalidatedVerifierView<'static> = akita_schedules::PrevalidatedVerifierView {{\nview: &VIEW_BYTES.0,\npolicy_digest: [{policy_digest}],\ncatalog_digest: [{catalog_digest}],\ncarried_row_digests: &[{rows}],\n}};\npub(super) fn rebuild(family: super::OneHotFamily, view: &[u8]) -> Option {{\nsuper::rebuild_one::(family, (super::OneHotFamilyKind::{variant}, super::AkitaChunkProfile::new({chunks}, {levels})), |catalog| super::AkitaOneHotBackendScheme::{variant}(akita_pcs::AkitaCommitmentScheme::new(catalog)), view, &VIEW)\n}}\n", - ) -} - -/// Host: the generated file's source with no prevalidated view (every -/// lookup misses and the canonical path runs). -pub const EMPTY_PREVALIDATED_CATALOG_SOURCE: &str = "pub(super) fn rebuild(_family: super::OneHotFamily, _view: &[u8]) -> Option {\nNone\n}\n"; - -#[cfg(all(test, not(target_arch = "riscv64")))] -mod tests { - use super::{source, AkitaChunkProfile, AlignedViewBytes}; - - #[test] - fn view_bytes_static_is_8_aligned() { - static BYTES: AlignedViewBytes<11> = AlignedViewBytes([7; 11]); - assert_eq!(core::mem::align_of::>(), 8); - assert_eq!(BYTES.0.as_ptr().addr() % 8, 0); - let view: &'static [u8] = &BYTES.0; - assert_eq!(view, &[7; 11]); - } - - #[test] - fn generated_source_borrows_the_aligned_view_bytes() { - let text = source( - "K16", - AkitaChunkProfile::new(8, 2), - 3, - "1,2,3", - "4", - "5", - "[6]", - ); - assert!(text.starts_with( - "static VIEW_BYTES: super::AlignedViewBytes<3> = super::AlignedViewBytes([1,2,3]);\n" - )); - assert!(text.contains("\nview: &VIEW_BYTES.0,\npolicy_digest: [4],\ncatalog_digest: [5],\ncarried_row_digests: &[[6]],\n};\n")); - assert!(text.contains( - "super::rebuild_one::(family, (super::OneHotFamilyKind::K16, super::AkitaChunkProfile::new(8, 2))," - )); - assert_eq!(text.matches("1,2,3").count(), 1); - assert_eq!(text.matches("static ").count(), 2); - } -} diff --git a/crates/jolt-akita/src/schedule_registry.rs b/crates/jolt-akita/src/schedule_registry.rs index 02250e9745..7017d3840e 100644 --- a/crates/jolt-akita/src/schedule_registry.rs +++ b/crates/jolt-akita/src/schedule_registry.rs @@ -494,6 +494,7 @@ mod tests { .collect(); let row = admitted .resolve_key(&ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group: params.final_group, precommitteds, }) @@ -526,6 +527,7 @@ mod tests { .unwrap(); for row in catalog.rows() { let key = ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group: row.profiles().final_group.group, precommitteds: row.profiles().precommitteds.clone(), }; @@ -589,6 +591,7 @@ mod tests { .extend_catalog(&dense, &full_dense, &base, AKITA_ONE_HOT_K16, profile) .unwrap(); let key = ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group: PolynomialGroupLayout::new(final_num_vars, num_polys), precommitteds: [untrusted, trusted] .into_iter() @@ -650,6 +653,7 @@ mod tests { precommitteds.push(full_producer); } let key = ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group: PolynomialGroupLayout::new(final_num_vars, 1), precommitteds, }; diff --git a/crates/jolt-akita/src/scheme.rs b/crates/jolt-akita/src/scheme.rs index 96ef3f2464..1ed061e93b 100644 --- a/crates/jolt-akita/src/scheme.rs +++ b/crates/jolt-akita/src/scheme.rs @@ -306,7 +306,7 @@ impl AkitaScheme { let (auxiliary_group, _) = hint.backend.as_ref().ok_or_else(|| { invalid_batch("Akita auxiliary group is missing backend opening data") })?; - profiles.push(auxiliary_group.profile); + profiles.push(*auxiliary_group.profile()); } PrecommittedGroupProfiles::from_profiles(profiles).map_err(akita_error) } diff --git a/crates/jolt-akita/src/shape_guard.rs b/crates/jolt-akita/src/shape_guard.rs index 77b881ab9d..d6f9f45104 100644 --- a/crates/jolt-akita/src/shape_guard.rs +++ b/crates/jolt-akita/src/shape_guard.rs @@ -43,7 +43,8 @@ where &commitment.backend_coeff_len, )?; let backend_commitment = - AkitaBackendCommitment::new(resolved.profiles().final_group, backend_payload); + AkitaBackendCommitment::new(resolved.profiles().final_group, backend_payload) + .map_err(|err| invalid_batch(format!("Akita commitment validation failed: {err}")))?; Ok(backend_commitment) } @@ -76,14 +77,19 @@ where &commitment.serialized_backend_bytes, &commitment.backend_coeff_len, )?; - auxiliary_backend.push(AkitaBackendCommitment::new(*profile, payload)); + auxiliary_backend.push( + AkitaBackendCommitment::new(*profile, payload).map_err(|err| { + invalid_batch(format!("Akita commitment validation failed: {err}")) + })?, + ); } validate_commitment_profile_len(main, &profiles.final_group)?; let main_payload = deserialize_akita::( &main.serialized_backend_bytes, &main.backend_coeff_len, )?; - let main_backend = AkitaBackendCommitment::new(profiles.final_group, main_payload); + let main_backend = AkitaBackendCommitment::new(profiles.final_group, main_payload) + .map_err(|err| invalid_batch(format!("Akita commitment validation failed: {err}")))?; Ok((auxiliary_backend, main_backend)) } diff --git a/crates/jolt-akita/tests/integration/schedules.rs b/crates/jolt-akita/tests/integration/schedules.rs index 4608661978..6af8682e8f 100644 --- a/crates/jolt-akita/tests/integration/schedules.rs +++ b/crates/jolt-akita/tests/integration/schedules.rs @@ -231,6 +231,7 @@ fn trusted_advice_grouped_key(dense: &ValidatedScheduleCatalog) -> ScheduleLooku let trusted_profile = dense_group_profile(dense, TRUSTED_ADVICE_GROUP) .expect("trusted advice standalone row must resolve"); ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group: TRUSTED_ADVICE_K256_FINAL_GROUP, precommitteds: vec![trusted_profile], } @@ -347,6 +348,7 @@ fn grouped_adaptation_preserves_direct_and_recursive_k16_trace_skeletons() { let final_group = PolynomialGroupLayout::new(final_num_vars, width); let resolved = setup_catalog .resolve_key(&ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group, precommitteds: vec![precommit], }) @@ -420,6 +422,7 @@ fn base_catalogs_contain_no_grouped_advice_rows() { ] { for num_vars in FIXTURE_K16_FINAL_NUM_VARS.0..=FIXTURE_K16_FINAL_NUM_VARS.1 { let key = ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group: PolynomialGroupLayout::new(num_vars, 34), precommitteds: precommitteds.clone(), }; @@ -618,6 +621,7 @@ mod field_inc { panic!("K={one_hot_k} {profile:?} {final_group:?}: field-inline provisioning failed: {error}") }); let key = ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group, precommitteds: vec![ dense_group_profile( @@ -781,6 +785,7 @@ mod field_inc { .expect("full-width advice-shaped profile"); assert!(catalog .resolve_key(&ScheduleLookupKey { + root_accumulated_setup_prefix_len: 0, final_group: PolynomialGroupLayout::new(final_num_vars, 34), precommitteds: vec![widened_advice, inc, fused_profile], }) diff --git a/crates/jolt-dory/fuzz/Cargo.toml b/crates/jolt-dory/fuzz/Cargo.toml index 5e1ba83c1f..de57020c54 100644 --- a/crates/jolt-dory/fuzz/Cargo.toml +++ b/crates/jolt-dory/fuzz/Cargo.toml @@ -73,3 +73,12 @@ path = "fuzz_targets/zk_mode_confusion.rs" test = false doc = false bench = false + +# Match the root dependency identity for Akita v8 codecs and channels. +[patch."https://github.com/a16z/jolt"] +jolt-field = { path = "../../jolt-field" } +jolt-transcript = { path = "../../jolt-transcript" } +jolt-poly = { path = "../../jolt-poly" } +jolt-inlines-blake2 = { path = "../../../jolt-inlines/blake2" } +jolt-inlines-ntt = { path = "../../../jolt-inlines/ntt" } +jolt-inlines-keccak256 = { path = "../../../jolt-inlines/keccak256" } diff --git a/crates/jolt-openings/fuzz/Cargo.toml b/crates/jolt-openings/fuzz/Cargo.toml index d7107abf29..18ab2ddb8b 100644 --- a/crates/jolt-openings/fuzz/Cargo.toml +++ b/crates/jolt-openings/fuzz/Cargo.toml @@ -40,3 +40,12 @@ path = "fuzz_targets/dory_homomorphic_batch_must_reject.rs" test = false doc = false bench = false + +# Match the root dependency identity for Akita v8 codecs and channels. +[patch."https://github.com/a16z/jolt"] +jolt-field = { path = "../../jolt-field" } +jolt-transcript = { path = "../../jolt-transcript" } +jolt-poly = { path = "../../jolt-poly" } +jolt-inlines-blake2 = { path = "../../../jolt-inlines/blake2" } +jolt-inlines-ntt = { path = "../../../jolt-inlines/ntt" } +jolt-inlines-keccak256 = { path = "../../../jolt-inlines/keccak256" } diff --git a/crates/jolt-verifier/fuzz/Cargo.toml b/crates/jolt-verifier/fuzz/Cargo.toml index 63c7bb9ace..712fd8b7f6 100644 --- a/crates/jolt-verifier/fuzz/Cargo.toml +++ b/crates/jolt-verifier/fuzz/Cargo.toml @@ -99,3 +99,12 @@ path = "fuzz_targets/blindfold_expression_mapping_equivalence.rs" test = false doc = false bench = false + +# Match the root dependency identity for Akita v8 codecs and channels. +[patch."https://github.com/a16z/jolt"] +jolt-field = { path = "../../jolt-field" } +jolt-transcript = { path = "../../jolt-transcript" } +jolt-poly = { path = "../../jolt-poly" } +jolt-inlines-blake2 = { path = "../../../jolt-inlines/blake2" } +jolt-inlines-ntt = { path = "../../../jolt-inlines/ntt" } +jolt-inlines-keccak256 = { path = "../../../jolt-inlines/keccak256" } diff --git a/examples/recursion/Cargo.toml b/examples/recursion/Cargo.toml index ca3d0b9e2f..40fa142ca0 100644 --- a/examples/recursion/Cargo.toml +++ b/examples/recursion/Cargo.toml @@ -8,11 +8,7 @@ name = "recursion" path = "src/main.rs" [features] -# Verifier guest only: keep the host prover feature graph unchanged. -recursion-sparse-term-cache = [] -recursion-wide-row-batch = [] terminal-contraction = ["jolt-akita?/terminal-contraction"] -segment-setup = ["jolt-akita?/segment-setup"] immutable-recipes = [ "akita", "field-inline", @@ -26,8 +22,6 @@ immutable-recipes = [ immutable-recipes-record = ["immutable-recipes", "dep:serde_json"] word-memory = [] ntt-inline = ["akita", "dep:jolt-inlines-ntt"] -# Non-default: default workspace builds must not unify field-inline into the -# verifier stack. The recursion flow needs it. field-inline = ["jolt-sdk/field-inline"] akita = [ "jolt-sdk/akita", @@ -36,88 +30,7 @@ akita = [ "dep:jolt-witness", "dep:tracer", ] -# L3 compression-weight factoring and the L2 terminal quotient certificate, -# both default on and both effective only with `akita`. L3: the verifier guest -# (and the host's Akita) evaluate the compression relation weights by factor; -# same field values. L2: the inner Akita proofs carry the terminal A-row -# quotient (protocol identifier v7-l2tq1) and the guest checks it at two -# points instead of the exact product. Word decoding: the guest decodes -# fixed-wire field elements by word with the same canonicality checks. Turn -# all three off with --no-default-features. guest-codegen: the verifier guest -# is built with -Cllvm-args=-inline-threshold=1750, -Cllvm-args=-enable-gvn-hoist, -# -Cllvm-args=-enable-dfa-jump-thread, -Cllvm-args=-enable-ext-tsp-block-placement, -# -Cllvm-args=-enable-tail-merge=false, -Cllvm-args=-split-spill-mode=size, -# -Cllvm-args=-riscv-disable-cost-per-use=true, -# -Cllvm-args=-phi-elim-split-all-critical-edges=true, -# -Cllvm-args=-no-phi-elim-live-out-early-exit=true, -Cllvm-args=-enable-spill-copy-elim=true, -# -Cllvm-args=-enable-post-misched=true, one codegen unit and release debug = 0 -# (host side only; RECURSION_GUEST_CODEGEN=off restores the stock guest build). -# tensor-no-carry: the verifier guest (and the host's Akita) separate dense -# residual equality weights into a high-part sum and a no-carry low span; same -# field values. Default on; effective only with `akita`. -# rowptr-registers: the verifier guest keeps the weighted-dot row base pointers in -# registers (jolt-field field-inline-rowptr); same field values. Default on. -# tensor-eq-runs: the verifier guest (and the host's Akita) traverse the -# constant-high runs of dense tensor equality materialization; same field -# values. Default on; effective only with `akita`. -# setup-sop-structured: the verifier guest (and the host's Akita) sum the cached -# structured E, T and Z contractions of the setup scan as sums of products; -# same field values. Default on; effective only with `akita`. -# segment-setup: the verifier guest (and the host's Akita) evaluate the -# ratio-one reduced setup scan once over its shared linear functional, segment -# by segment; same field values. Default on; effective only with `akita`. -# weighted-dot-horner: the verifier guest evaluates each weighted dot whose 64 -# powers are geometric, with at least five rows, by a five-row reverse Horner -# recurrence in field registers; same field values. Default on. -# terminal-contraction: the verifier guest (and the host's Akita) contract the -# terminal ring relations by signed 16-bit coefficients and evaluate the fused -# setup scan with its jobs and weighted dots inline; same field values. Default on. -# prevalidated-catalog: the host records the embedded setup's one-hot catalog -# view and the verifier guest rebuilds a byte-equal view from that record -# instead of validating it again; same field values. Default on; effective only -# with `akita`. -# weighted-dot-horner-triplet: inside each full five-row block of 64 two-limb -# elements, the verifier guest's Horner weighted dot advances every row by three -# coefficients per pointer and branch group; same field values. Default on. -# lazy-scan-errors, digest-nozero, golomb-word, bytecode-fold, fill-ingress: the -# verifier guest (and the host's Akita) build the setup-scan InvalidProof error -# only on the failure path, copy the prevalidated row digests without a zero -# fill, decode the terminal z Golomb-Rice stream by doubleword, index the stage -# 6b bytecode fold by flag class directly and scale each bounded equality-fill -# run once; same field values. Default on; effective only with `akita`. -# setup-lane-streams: the verifier guest (and the host's Akita) stream each lane -# of the root setup scan with its row scales hoisted; same field values. Default -# on; effective only with `akita`. -# carry-graph: the host emits Akita's fixed carry-state graphs for the inner -# proofs' padded trace size and the verifier guest evaluates the eq-pair tensor -# recurrences through them (no graph for another size: recurrence path); same -# field values. Default on; effective only with `akita`. -# mle-leaf-tiles: the verifier guest (and the host's Akita) evaluate the -# low-variable multilinear extensions by fixed leaf tiles; same field values. -# Default on; effective only with `akita`. -# signed-byte-sum: the verifier guest (and the host's Akita) take the signed -# byte coefficients of a sparse challenge in through one field sum when -# evaluating it at powers; same field values. Default on; effective only with -# `akita`. -# setup-weight-tiles: the verifier guest's direct setup scan accumulates the -# setup weights by borrowed tiles on field-register addition; same field -# values. Default on; effective only with `akita`. -# challenge-word-decode: the verifier guest (and the host's Akita) decode the -# signed sparse challenges from whole SHAKE output words; same consumption, -# rejection and field values. Default on; effective only with `akita`. -# recursion-sparse-term-cache and recursion-wide-row-batch: default-on -# verifier guest recovery; configured_recursion_program forwards both only -# with `akita`, using the same selection as the other recursion defaults. -# challenge-embed-fused: the verifier guest (and the host's Akita) validate and -# embed sparse challenges in one pass for subrings of at most 64 positions; -# same embedded challenges. Default on; effective only with `akita`. -# compressed-poly-horner: the verifier guest evaluates compressed sumcheck -# polynomials with Horner's rule; same field values. Default on for either PCS. -# The recursion verifier uses these defaults with the stock Akita build features; -# configured_recursion_program forwards both levers into the verifier guest. default = [ - "l3-compression-weights", - "l2-terminal-quotient", "word-decode", "word-memory", "guest-codegen", @@ -125,79 +38,25 @@ default = [ "rowptr-registers", "tensor-eq-runs", "setup-sop-structured", - "segment-setup", "weighted-dot-horner", "terminal-contraction", - "prevalidated-catalog", "weighted-dot-horner-triplet", - "lazy-scan-errors", - "digest-nozero", - "golomb-word", "bytecode-fold", "fill-ingress", - "setup-lane-streams", - "carry-graph", - "mle-leaf-tiles", - "signed-byte-sum", - "setup-weight-tiles", - "challenge-word-decode", - "recursion-sparse-term-cache", - "recursion-wide-row-batch", - "challenge-embed-fused", "compressed-poly-horner", ] guest-codegen = [] -l3-compression-weights = ["jolt-akita?/l3-compression-weights"] -l2-terminal-quotient = ["jolt-akita?/l2-terminal-quotient"] word-decode = ["jolt-akita?/word-decode"] tensor-no-carry = ["jolt-akita?/tensor-no-carry"] tensor-eq-runs = ["jolt-akita?/tensor-eq-runs"] -# Each remaining arm is selected independently and forwarded to the guest. ont-static-base = ["akita", "jolt-akita/ont-static-base"] -# Row pointers (default on): forwards `rowptr-registers` to the verifier guest. rowptr-registers = [] -# Structured setup sums of products (default on): structured-site sums of products in the Akita setup scan. setup-sop-structured = ["jolt-akita?/setup-sop-structured"] weighted-dot-horner = [] weighted-dot-horner-triplet = ["weighted-dot-horner"] -# compressed-poly-horner: evaluate the verifier guest's compressed sumcheck -# polynomials with Horner's rule. compressed-poly-horner = [] -# Prevalidated catalog: the host prevalidates the embedded one-hot catalog view -# and the guest rebuilds it from that record when its bytes are equal. Effective -# only with `akita`. -prevalidated-catalog = [ - "jolt-akita?/prevalidated-catalog", - "dep:sha2", - "dep:hex", -] -# Verifier features (effective only with `akita`), each forwarded to the -# verifier guest and to the host's Akita; same field values, proofs and -# transcripts. -# lazy-scan-errors: the setup-scan kernels build InvalidProof only on failure. -lazy-scan-errors = ["jolt-akita?/lazy-scan-errors"] -# digest-nozero: the prevalidated catalog rebuild copies its row digests -# directly instead of zero-filling first (needs prevalidated-catalog). -digest-nozero = ["prevalidated-catalog", "jolt-akita?/digest-nozero"] -# golomb-word: doubleword trailing-ones table and packed doubleword stores in -# the terminal z Golomb-Rice decoder. -golomb-word = ["jolt-akita?/golomb-word"] -# bytecode-fold: direct flag-class index in the stage 6b bytecode fold. bytecode-fold = ["jolt-akita?/bytecode-fold"] -# fill-ingress: one scale ingress per bounded run in the Akita equality fill. fill-ingress = ["jolt-akita?/fill-ingress"] -# setup-lane-streams: the root setup scan streams each lane with its row -# scales hoisted. -setup-lane-streams = ["jolt-akita?/setup-lane-streams"] -# carry-graph: compiled carry-state graphs for the eq-pair tensor recurrences. -carry-graph = ["jolt-akita?/carry-graph"] -mle-leaf-tiles = ["jolt-akita?/mle-leaf-tiles"] -signed-byte-sum = ["jolt-akita?/signed-byte-sum"] -setup-weight-tiles = ["jolt-akita?/setup-weight-tiles"] -challenge-word-decode = ["jolt-akita?/challenge-word-decode"] -# challenge-embed-fused: combine sparse challenge validation and embedding -# for subrings of at most 64 positions. -challenge-embed-fused = ["jolt-akita?/challenge-embed-fused"] [dependencies] jolt-claims = { path = "../../crates/jolt-claims", optional = true } diff --git a/examples/recursion/guest/Cargo.toml b/examples/recursion/guest/Cargo.toml index 1dfa4869d9..3f2e798690 100644 --- a/examples/recursion/guest/Cargo.toml +++ b/examples/recursion/guest/Cargo.toml @@ -4,19 +4,10 @@ version = "0.1.0" edition = "2021" [features] -# The recursion host enables both recovery features through its default list -# and forwards them here with `akita`. Keep guest selection explicit so host -# --no-default-features overrides retain the off and single-feature paths. -recursion-sparse-term-cache = [ - "akita", - "jolt-akita/recursion-sparse-term-cache", -] -recursion-wide-row-batch = ["akita", "jolt-akita/recursion-wide-row-batch"] terminal-contraction = [ "jolt-akita?/terminal-contraction", "jolt-field/terminal-contraction", ] -segment-setup = ["jolt-akita?/segment-setup"] immutable-recipes = [ "akita", "field-inline-fp128", @@ -27,8 +18,6 @@ guest = [] word-memory = ["jolt_sdk/word-memory"] kernel-tests = ["field-inline"] field-inline = ["jolt_sdk/field-inline"] -# The field the field-inline unit computes in: BN254 `Fr` under Dory, the -# Fp128 protocol prime under Akita. The host selects the one its tracer uses. field-inline-bn254 = ["field-inline", "jolt-field/field-inline-guest-bn254"] field-inline-fp128 = ["field-inline", "jolt-field/field-inline-guest-fp128"] akita = [ @@ -38,21 +27,15 @@ akita = [ "dep:jolt-transcript", ] fast-alloc = ["jolt_sdk/guest-size-class-alloc"] -# L2 terminal quotient certificate (see the host feature). -l2-terminal-quotient = ["akita", "jolt-akita/l2-terminal-quotient"] hash-inlines = [ "jolt_sdk/blake2-inline", "jolt-transcript?/blake2-inline", "jolt-akita?/blake2-inline", - "jolt-akita?/keccak-inline", ] -# L3 recursion experiment: factorized compression-weight evaluation. -l3-compression-weights = ["akita", "jolt-akita/l3-compression-weights"] word-decode = ["akita", "jolt-akita/word-decode"] ont-static-base = ["akita", "jolt-akita/ont-static-base"] tensor-no-carry = ["akita", "jolt-akita/tensor-no-carry"] -# Row pointers (default off): weighted-dot row pointers held in registers. rowptr-registers = ["jolt-field/field-inline-rowptr"] weighted-dot-horner = ["jolt-field/field-inline-horner"] weighted-dot-horner-triplet = [ @@ -61,22 +44,10 @@ weighted-dot-horner-triplet = [ ] tensor-eq-runs = ["akita", "jolt-akita/tensor-eq-runs"] setup-sop-structured = ["akita", "jolt-akita/setup-sop-structured"] -prevalidated-catalog = ["akita", "jolt-akita/prevalidated-catalog"] -lazy-scan-errors = ["akita", "jolt-akita/lazy-scan-errors"] -digest-nozero = ["prevalidated-catalog", "jolt-akita/digest-nozero"] -golomb-word = ["akita", "jolt-akita/golomb-word"] bytecode-fold = ["akita", "jolt-akita/bytecode-fold"] fill-ingress = ["akita", "jolt-akita/fill-ingress"] -setup-lane-streams = ["akita", "jolt-akita/setup-lane-streams"] -carry-graph = ["akita", "jolt-akita/carry-graph"] -mle-leaf-tiles = ["akita", "jolt-akita/mle-leaf-tiles"] -signed-byte-sum = ["akita", "jolt-akita/signed-byte-sum"] -setup-weight-tiles = ["akita", "jolt-akita/setup-weight-tiles"] -challenge-word-decode = ["akita", "jolt-akita/challenge-word-decode"] -# These levers are selected by the host recursion defaults and forwarded -# explicitly; the guest needs no separate default list. -challenge-embed-fused = ["akita", "jolt-akita/challenge-embed-fused"] compressed-poly-horner = ["dep:jolt-poly", "jolt-poly/compressed-poly-horner"] + [package.metadata.cargo-machete] # jolt-poly and jolt-transcript forward features to the verifier dependencies. # Generated embedded_bytecode.rs imports jolt-riscv when the host embeds a guest. diff --git a/examples/recursion/src/carry_graph_source.rs b/examples/recursion/src/carry_graph_source.rs deleted file mode 100644 index bf1c57cb15..0000000000 --- a/examples/recursion/src/carry_graph_source.rs +++ /dev/null @@ -1,105 +0,0 @@ -//! Compiled carry-state graphs for the verifier-guest build (feature -//! `carry-graph`, default on with `akita`). -//! -//! Before the guest is built, the host reads the padded trace length of the -//! proofs in the stream it is about to verify and emits Akita's fixed -//! carry-state graph source for that size. It writes the source under the -//! guest target directory and names it in `JOLT_CARRY_GRAPH_RS` for that -//! build. If the proofs do not share one supported size, or -//! `RECURSION_CARRY_GRAPH=off`, it names a file with no graph: every lookup -//! misses and the guest keeps the recurrence path. A caller-set variable is -//! kept. The graphs are fixed per size and never taken from a proof's values. - -use crate::{read_raw, read_record, GuestProof, JoltDevice}; -use jolt_akita::carry_graph::emit_fixed_source; -use std::fs; -use std::path::{Path, PathBuf}; -use tracing::info; - -const VARIABLE: &str = "JOLT_CARRY_GRAPH_RS"; -/// `RECURSION_CARRY_GRAPH=off` skips emission: the guest gets no graph. -const SWITCH: &str = "RECURSION_CARRY_GRAPH"; -/// No graph, in the emitted file's form: every lookup misses. -const EMPTY: &str = "pub(super) static GRAPHS: &[Graph<'static>] = &[\n];\n"; - -/// Names the carry graph source for the next guest build. Returns whether the -/// variable was set here, for [`release`]. -pub(crate) fn prepare(stream: &[u8], target_dir: &str) -> bool { - if std::env::var_os(VARIABLE).is_some() { - info!(" carry graph: caller-supplied {VARIABLE}"); - return false; - } - let (name, source) = if std::env::var(SWITCH).as_deref() == Ok("off") { - info!(" carry graph: off; no graph, recurrence path"); - ("none".to_owned(), EMPTY.to_owned()) - } else { - match generate(stream) { - Ok((exponent, source)) => (exponent.to_string(), source), - Err(reason) => { - info!(" carry graph: none ({reason}); recurrence path"); - ("none".to_owned(), EMPTY.to_owned()) - } - } - }; - match write(&name, &source, target_dir) { - Ok(path) => { - info!(" carry graph file: {}", path.display()); - std::env::set_var(VARIABLE, &path); - true - } - Err(reason) => { - info!(" carry graph file not written: {reason}"); - false - } - } -} - -/// Removes the variable [`prepare`] set, so it does not outlive this build. -pub(crate) fn release(set_here: bool) { - if set_here { - std::env::remove_var(VARIABLE); - } -} - -/// The padded trace exponent shared by every proof of the stream, and the -/// fixed graph source Akita emits for it. -fn generate(stream: &[u8]) -> Result<(u32, String), String> { - let mut offset = 0; - // The verifier preprocessing record and the setup payloads are skipped. - read_raw(stream, &mut offset)?; - let payload_count: u32 = read_record(stream, &mut offset)?; - for _ in 0..payload_count { - read_raw(stream, &mut offset)?; - } - let proof_count: u32 = read_record(stream, &mut offset)?; - let mut shared = None; - for _ in 0..proof_count { - let proof: GuestProof = read_record(stream, &mut offset)?; - let _: JoltDevice = read_record(stream, &mut offset)?; - if shared.is_some_and(|length| length != proof.trace_length) { - return Err("the proofs do not share one trace length".to_owned()); - } - shared = Some(proof.trace_length); - } - let length = shared.ok_or("the stream holds no proof")?; - if offset != stream.len() || !length.is_power_of_two() { - return Err("the stream is not one setup and padded proofs".to_owned()); - } - let exponent = length.trailing_zeros(); - let source = emit_fixed_source(exponent).map_err(|error| format!("{error:?}"))?; - Ok((exponent, source)) -} - -/// Writes `source` under the guest target directory, one file per size, and -/// rewrites it only when its bytes change. -fn write(name: &str, source: &str, target_dir: &str) -> Result { - let directory = Path::new(target_dir).join("carry-graph"); - fs::create_dir_all(&directory).map_err(|error| error.to_string())?; - let path = directory.join(format!("graph-{name}.rs")); - if fs::read(&path).ok().as_deref() != Some(source.as_bytes()) { - let temporary = directory.join(format!("graph-{name}.rs.tmp-{}", std::process::id())); - fs::write(&temporary, source.as_bytes()).map_err(|error| error.to_string())?; - fs::rename(&temporary, &path).map_err(|error| error.to_string())?; - } - Ok(path) -} diff --git a/examples/recursion/src/main.rs b/examples/recursion/src/main.rs index efdb66de5f..49a4d1fe90 100644 --- a/examples/recursion/src/main.rs +++ b/examples/recursion/src/main.rs @@ -183,7 +183,7 @@ enum Commands { #[cfg(feature = "field-inline")] CheckFieldKernels, - /// Write a parseable proof stream with one bit of its first Akita opening proof flipped. + /// Write a parseable proof stream with an altered Akita schedule-row digest. #[cfg(feature = "akita")] TamperOpening { #[arg(long)] @@ -193,24 +193,6 @@ enum Commands { #[arg(long)] output: PathBuf, }, - /// L2 lever: write a proof stream whose first inner Akita proof has its - /// terminal quotient or terminal response altered (rejection cases). - #[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] - TamperL2 { - #[arg(long)] - example: String, - #[arg(long)] - workdir: PathBuf, - #[arg(long)] - output: PathBuf, - /// quotient-flip, quotient-noncanonical, quotient-extra, - /// quotient-short or response-flip - #[arg(long)] - mode: String, - /// Bytes of the quotient at the end of the Akita proof body - #[arg(long)] - quotient_bytes: usize, - }, /// Generate proofs for guest programs Generate { /// Example to run (fibonacci or muldiv) @@ -987,20 +969,14 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("akita"); #[cfg(feature = "ntt-inline")] program.add_guest_feature("ntt-inline"); - #[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] - program.add_guest_feature("l2-terminal-quotient"); program.add_guest_feature("fast-alloc"); #[cfg(all(feature = "akita", feature = "word-memory"))] program.add_guest_feature("word-memory"); program.add_guest_feature("hash-inlines"); - #[cfg(all(feature = "akita", feature = "l3-compression-weights"))] - program.add_guest_feature("l3-compression-weights"); #[cfg(all(feature = "akita", feature = "word-decode"))] program.add_guest_feature("word-decode"); #[cfg(feature = "ont-static-base")] program.add_guest_feature("ont-static-base"); - #[cfg(feature = "segment-setup")] - program.add_guest_feature("segment-setup"); #[cfg(feature = "terminal-contraction")] program.add_guest_feature("terminal-contraction"); #[cfg(feature = "tensor-no-carry")] @@ -1017,36 +993,10 @@ fn configured_recursion_program(memory_config: MemoryConfig) -> Program { program.add_guest_feature("weighted-dot-horner-triplet"); #[cfg(feature = "compressed-poly-horner")] program.add_guest_feature("compressed-poly-horner"); - #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] - program.add_guest_feature("prevalidated-catalog"); - #[cfg(all(feature = "akita", feature = "lazy-scan-errors"))] - program.add_guest_feature("lazy-scan-errors"); - #[cfg(all(feature = "akita", feature = "digest-nozero"))] - program.add_guest_feature("digest-nozero"); - #[cfg(all(feature = "akita", feature = "golomb-word"))] - program.add_guest_feature("golomb-word"); #[cfg(all(feature = "akita", feature = "bytecode-fold"))] program.add_guest_feature("bytecode-fold"); #[cfg(all(feature = "akita", feature = "fill-ingress"))] program.add_guest_feature("fill-ingress"); - #[cfg(all(feature = "akita", feature = "setup-lane-streams"))] - program.add_guest_feature("setup-lane-streams"); - #[cfg(all(feature = "akita", feature = "carry-graph"))] - program.add_guest_feature("carry-graph"); - #[cfg(all(feature = "akita", feature = "mle-leaf-tiles"))] - program.add_guest_feature("mle-leaf-tiles"); - #[cfg(all(feature = "akita", feature = "signed-byte-sum"))] - program.add_guest_feature("signed-byte-sum"); - #[cfg(all(feature = "akita", feature = "setup-weight-tiles"))] - program.add_guest_feature("setup-weight-tiles"); - #[cfg(all(feature = "akita", feature = "challenge-word-decode"))] - program.add_guest_feature("challenge-word-decode"); - #[cfg(all(feature = "akita", feature = "recursion-sparse-term-cache"))] - program.add_guest_feature("recursion-sparse-term-cache"); - #[cfg(all(feature = "akita", feature = "recursion-wide-row-batch"))] - program.add_guest_feature("recursion-wide-row-batch"); - #[cfg(all(feature = "akita", feature = "challenge-embed-fused"))] - program.add_guest_feature("challenge-embed-fused"); program.set_memory_config(memory_config); self::immutable_recursion_program!(program) } @@ -1137,11 +1087,11 @@ fn tamper_proof( let config = bincode::config::standard(); let encoded = bincode::serde::encode_to_vec(&proof.joint_opening_proof, config).unwrap(); - let ((selection, mut body), consumed): (([u8; 32], Vec), _) = + let ((mut selection, body), consumed): (([u8; 32], Vec), _) = bincode::serde::decode_from_slice(&encoded, config).unwrap(); assert_eq!(consumed, encoded.len()); - let middle = body.len() / 2; - *body.get_mut(middle).expect("opening proof body") ^= 1; + // The v8 verifier resolves this digest in its trusted schedule catalog. + *selection.first_mut().expect("schedule-row digest") ^= 1; let encoded = bincode::serde::encode_to_vec((selection, body), config).unwrap(); proof.joint_opening_proof = bincode::serde::decode_from_slice(&encoded, config) .unwrap() @@ -1159,101 +1109,6 @@ fn tamper_proof( save_proof_data(guest, &tampered, output); } -/// Bincode's standard varint length prefix. -#[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] -fn push_varint_len(out: &mut Vec, len: usize) { - let len = len as u64; - if len < 251 { - out.push(len as u8); - } else if len <= u64::from(u16::MAX) { - out.push(251); - out.extend_from_slice(&(len as u16).to_le_bytes()); - } else if len <= u64::from(u32::MAX) { - out.push(252); - out.extend_from_slice(&(len as u32).to_le_bytes()); - } else { - out.push(253); - out.extend_from_slice(&len.to_le_bytes()); - } -} - -/// L2 rejection fixtures. The quotient is the last message of the Akita -/// proof body (after the terminal `z` payload), `quotient_bytes` long. -#[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] -fn tamper_l2( - guest: GuestProgram, - workdir: &Path, - output: &Path, - mode: &str, - quotient_bytes: usize, -) { - // p = 2^128 - 2^32 + 22537, little endian: a noncanonical encoding of 0. - const MODULUS_LE: [u8; 16] = [ - 9, 88, 0, 0, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - ]; - const ATOM: usize = 16; - let bytes = load_proof_data(guest, workdir); - let mut offset = 0; - let _: GuestVerifierPreprocessing = read_record(&bytes, &mut offset).unwrap(); - let payloads: u32 = read_record(&bytes, &mut offset).unwrap(); - for _ in 0..payloads { - let _ = read_raw(&bytes, &mut offset).unwrap(); - } - let count: u32 = read_record(&bytes, &mut offset).unwrap(); - assert!(count > 0, "tamper fixture requires a proof"); - let mut tampered = bytes[..offset].to_vec(); - for index in 0..count { - let mut proof: GuestProof = read_record(&bytes, &mut offset).unwrap(); - let device: JoltDevice = read_record(&bytes, &mut offset).unwrap(); - if index == 0 { - let config = bincode::config::standard(); - let encoded = - bincode::serde::encode_to_vec(&proof.joint_opening_proof, config).unwrap(); - let body_len = proof.joint_opening_proof.backend_proof_body_size(); - let header_len = encoded.len() - body_len; - let mut length_prefix = Vec::new(); - push_varint_len(&mut length_prefix, body_len); - assert!( - encoded[..header_len].ends_with(&length_prefix), - "Akita batch proof layout is not selection, length, body" - ); - let selection_len = header_len - length_prefix.len(); - let mut body = encoded[header_len..].to_vec(); - assert!( - quotient_bytes > 0 - && quotient_bytes.is_multiple_of(ATOM) - && body.len() > quotient_bytes, - "quotient length" - ); - let start = body.len() - quotient_bytes; - info!("L2 tamper: body {body_len} bytes, quotient at {start}..{body_len}"); - match mode { - "quotient-flip" => body[start] ^= 1, - "quotient-noncanonical" => { - let last = body.len() - ATOM; - body[last..].copy_from_slice(&MODULUS_LE); - } - "quotient-extra" => body.extend_from_slice(&[0u8; ATOM]), - "quotient-short" => body.truncate(body.len() - ATOM), - "response-flip" => body[start - 1] ^= 1, - other => panic!("unknown tamper-l2 mode {other}"), - } - let mut rebuilt = encoded[..selection_len].to_vec(); - push_varint_len(&mut rebuilt, body.len()); - rebuilt.extend_from_slice(&body); - proof.joint_opening_proof = bincode::serde::decode_from_slice(&rebuilt, config) - .unwrap() - .0; - } - push_record(&mut tampered, &proof); - push_record(&mut tampered, &device); - } - assert_eq!(offset, bytes.len(), "trailing proof stream bytes"); - assert_eq!(check_data_integrity(&tampered).proof_count, count); - std::fs::create_dir(output).expect("fresh tampered proof directory"); - save_proof_data(guest, &tampered, output); -} - /// Guest build settings the verifier guest uses by default (feature /// `guest-codegen`): a higher LLVM inline threshold, one codegen unit and no /// debug information for the guest's release profile. Measured as the fewest @@ -1294,8 +1149,6 @@ sha256sum "$(command -v "${JOLT_PATH:-jolt}")" sha256sum "$2" env | grep -E '^(ZEROOS_GUEST_RUSTFLAGS|CARGO_PROFILE_[A-Z0-9_]*|RUSTFLAGS|CARGO_ENCODED_RUSTFLAGS|CARGO_BUILD_[A-Z0-9_]*|RECURSION_GUEST_CODEGEN|JOLT_FUNC_NAME)=' | sort || true if [ -n "${JOLT_IMMUTABLE_RECIPES_RS:-}" ]; then echo immutable-recipes-tables; sha256sum < "$JOLT_IMMUTABLE_RECIPES_RS"; else echo immutable-recipes-tables-none; fi -if [ -n "${JOLT_PREVALIDATED_CATALOG_RS:-}" ]; then echo prevalidated-catalog; sha256sum < "$JOLT_PREVALIDATED_CATALOG_RS"; else echo prevalidated-catalog-none; fi -if [ -n "${JOLT_CARRY_GRAPH_RS:-}" ]; then echo carry-graph; sha256sum < "$JOLT_CARRY_GRAPH_RS"; else echo carry-graph-none; fi echo "$3" } | sha256sum | cut -c1-64 "#; @@ -1581,17 +1434,6 @@ fn verify_proofs( #[cfg(feature = "immutable-recipes")] let recipe_tables = immutable_recipe_tables::prepare(&all_groups_data, "/tmp/jolt-guest-targets"); - // Prevalidated catalog: the embedded setup's one-hot catalog view, loaded - // canonically here and recorded for the guest (setup section only). - #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] - let prevalidated_catalog = prevalidated_catalog::prepare( - &all_groups_data[..layout.setup_len], - "/tmp/jolt-guest-targets", - ); - // Carry graph: Akita's fixed carry-state graphs for the proofs' padded - // trace size, or no graph (recurrence path) for any other size. - #[cfg(all(feature = "akita", feature = "carry-graph"))] - let carry_graph = carry_graph_source::prepare(&all_groups_data, "/tmp/jolt-guest-targets"); run_recursion_proof( guest, run_config, @@ -1601,10 +1443,6 @@ fn verify_proofs( ); #[cfg(feature = "immutable-recipes")] immutable_recipe_tables::release(recipe_tables); - #[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] - prevalidated_catalog::release(prevalidated_catalog); - #[cfg(all(feature = "akita", feature = "carry-graph"))] - carry_graph_source::release(carry_graph); } fn main() { @@ -1648,17 +1486,6 @@ fn main() { let guest = GuestProgram::from_str(example).expect("supported guest example"); tamper_proof(guest, workdir, output, TamperTarget::Opening, 0); } - #[cfg(all(feature = "akita", feature = "l2-terminal-quotient"))] - Some(Commands::TamperL2 { - example, - workdir, - output, - mode, - quotient_bytes, - }) => { - let guest = GuestProgram::from_str(example).expect("supported guest example"); - tamper_l2(guest, workdir, output, mode, *quotient_bytes); - } Some(Commands::Generate { example, workdir, @@ -1751,14 +1578,10 @@ fn main() { } } -#[cfg(all(feature = "akita", feature = "carry-graph"))] -mod carry_graph_source; #[cfg(all(feature = "immutable-recipes-record", not(target_arch = "riscv64")))] mod immutable_recipe_generation; #[cfg(feature = "immutable-recipes")] mod immutable_recipe_tables; -#[cfg(all(feature = "akita", feature = "prevalidated-catalog"))] -mod prevalidated_catalog; #[cfg(not(feature = "immutable-recipes"))] macro_rules! immutable_recursion_program { diff --git a/examples/recursion/src/prevalidated_catalog.rs b/examples/recursion/src/prevalidated_catalog.rs deleted file mode 100644 index e628a69c63..0000000000 --- a/examples/recursion/src/prevalidated_catalog.rs +++ /dev/null @@ -1,99 +0,0 @@ -//! Prevalidated one-hot catalog view for the verifier-guest build (feature -//! `prevalidated-catalog`, default on with `akita`). -//! -//! Before the guest is built, the host decodes the setup section of the -//! stream it is about to embed (never a proof), attaches its payloads and -//! loads the prepared one-hot catalog view through Akita's canonical loader, -//! recording what loading derived. It writes the generated file under the -//! guest target directory by content digest and names it in -//! `JOLT_PREVALIDATED_CATALOG_RS` for that build. If anything fails, or -//! `RECURSION_PREVALIDATED_CATALOG=off`, it names a file with no view: every -//! lookup misses and the guest keeps the canonical path. A caller-set variable -//! is kept. - -use crate::{read_raw, read_record, GuestVerifierPreprocessing}; -use jolt_akita::{TrustedBytes, EMPTY_PREVALIDATED_CATALOG_SOURCE, PREVALIDATED_CATALOG_VARIABLE}; -use sha2::{Digest, Sha256}; -use std::fs; -use std::path::{Path, PathBuf}; -use tracing::info; - -const SWITCH: &str = "RECURSION_PREVALIDATED_CATALOG"; - -/// Names the prevalidated catalog file for the next guest build. `setup` is -/// the stream's setup section. Returns whether the variable was set here. -pub(crate) fn prepare(setup: &[u8], target_dir: &str) -> bool { - if std::env::var_os(PREVALIDATED_CATALOG_VARIABLE).is_some() { - info!(" prevalidated catalog: caller-supplied {PREVALIDATED_CATALOG_VARIABLE}"); - return false; - } - let source = if std::env::var(SWITCH).as_deref() == Ok("off") { - info!(" prevalidated catalog: off; no view, canonical path"); - EMPTY_PREVALIDATED_CATALOG_SOURCE.to_owned() - } else { - match generate(setup) { - Ok(source) => source, - Err(reason) => { - info!(" prevalidated catalog: none ({reason}); canonical path"); - EMPTY_PREVALIDATED_CATALOG_SOURCE.to_owned() - } - } - }; - match write(&source, target_dir) { - Ok(path) => { - info!(" prevalidated catalog file: {}", path.display()); - std::env::set_var(PREVALIDATED_CATALOG_VARIABLE, &path); - true - } - Err(reason) => { - info!(" prevalidated catalog file not written: {reason}"); - false - } - } -} - -/// Removes the variable [`prepare`] set, so it does not outlive this build. -pub(crate) fn release(set_here: bool) { - if set_here { - std::env::remove_var(PREVALIDATED_CATALOG_VARIABLE); - } -} - -fn generate(setup: &[u8]) -> Result { - let mut offset = 0; - let verifier_preprocessing: GuestVerifierPreprocessing = read_record(setup, &mut offset)?; - let payload_count: u32 = read_record(setup, &mut offset)?; - let mut payloads = Vec::new(); - for _ in 0..payload_count { - payloads.push(read_raw(setup, &mut offset)?.to_vec()); - } - if offset != setup.len() { - return Err("the setup section has trailing bytes".to_owned()); - } - let mut attached = verifier_preprocessing; - let bodies: Vec = payloads - .into_iter() - // SAFETY: these are the setup bodies of the section the guest embeds - // as its trusted constant; the host extends them the same trust. - .map(|payload| unsafe { TrustedBytes::new(Box::leak(payload.into_boxed_slice())) }) - .collect(); - attached - .pcs_setup - .attach_prepared_payloads(&bodies) - .map_err(|error| format!("prepared payloads did not attach: {error:?}"))?; - attached.pcs_setup.prevalidated_catalog_source() -} - -/// Writes `source` under the guest target directory by content digest. -fn write(source: &str, target_dir: &str) -> Result { - let digest = hex::encode(Sha256::digest(source.as_bytes())); - let directory = Path::new(target_dir).join("prevalidated-catalog"); - fs::create_dir_all(&directory).map_err(|error| error.to_string())?; - let path = directory.join(format!("{digest}.rs")); - if !path.is_file() { - let temporary = directory.join(format!("{digest}.rs.tmp-{}", std::process::id())); - fs::write(&temporary, source.as_bytes()).map_err(|error| error.to_string())?; - fs::rename(&temporary, &path).map_err(|error| error.to_string())?; - } - Ok(path) -} diff --git a/jolt-eval/fuzz/Cargo.toml b/jolt-eval/fuzz/Cargo.toml index 82a8976264..874c39a932 100644 --- a/jolt-eval/fuzz/Cargo.toml +++ b/jolt-eval/fuzz/Cargo.toml @@ -87,3 +87,12 @@ path = "fuzz_targets/transcript_consistency.rs" test = false doc = false bench = false + +# Match the root dependency identity for Akita v8 codecs and channels. +[patch."https://github.com/a16z/jolt"] +jolt-field = { path = "../../crates/jolt-field" } +jolt-transcript = { path = "../../crates/jolt-transcript" } +jolt-poly = { path = "../../crates/jolt-poly" } +jolt-inlines-blake2 = { path = "../../jolt-inlines/blake2" } +jolt-inlines-ntt = { path = "../../jolt-inlines/ntt" } +jolt-inlines-keccak256 = { path = "../../jolt-inlines/keccak256" } From 1f1bd2e497879a59c4fac91db94e7773f894b8b3 Mon Sep 17 00:00:00 2001 From: acentelles Date: Tue, 3 Nov 2026 20:20:54 +0000 Subject: [PATCH 131/131] Resolve lock files for public Akita main 0ac494ca --- Cargo.lock | 315 +++++---------------------- crates/jolt-dory/fuzz/Cargo.lock | 12 + crates/jolt-openings/fuzz/Cargo.lock | 12 + crates/jolt-verifier/fuzz/Cargo.lock | 12 + jolt-eval/fuzz/Cargo.lock | 8 + 5 files changed, 98 insertions(+), 261 deletions(-) diff --git a/Cargo.lock b/Cargo.lock index 017d111d7b..d0ba4f2f3e 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -93,7 +93,7 @@ dependencies = [ [[package]] name = "akita-algebra" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-error", "akita-serialization", @@ -108,13 +108,11 @@ dependencies = [ [[package]] name = "akita-challenges" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-error", "akita-transcript", "jolt-field", - "jolt-inlines-keccak256", - "keccak 0.1.6", "serde", "smallvec", ] @@ -122,7 +120,7 @@ dependencies = [ [[package]] name = "akita-config" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-challenges", "akita-error", @@ -137,7 +135,7 @@ dependencies = [ [[package]] name = "akita-cpu-backend" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-algebra", "akita-challenges", @@ -158,7 +156,7 @@ dependencies = [ [[package]] name = "akita-error" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "thiserror 2.0.20", ] @@ -166,7 +164,7 @@ dependencies = [ [[package]] name = "akita-params" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-algebra", "akita-challenges", @@ -174,9 +172,8 @@ dependencies = [ "akita-serialization", "akita-sumcheck", "akita-transcript", - "blake2 0.11.0", "jolt-field", - "jolt-inlines-blake2", + "jolt-transcript", "serde", "sha3 0.12.0", ] @@ -184,7 +181,7 @@ dependencies = [ [[package]] name = "akita-pcs" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-algebra", "akita-challenges", @@ -206,7 +203,7 @@ dependencies = [ [[package]] name = "akita-planner" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-challenges", "akita-error", @@ -218,7 +215,7 @@ dependencies = [ [[package]] name = "akita-prover" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-algebra", "akita-challenges", @@ -237,7 +234,7 @@ dependencies = [ [[package]] name = "akita-schedules" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-challenges", "akita-error", @@ -251,7 +248,7 @@ dependencies = [ [[package]] name = "akita-serialization" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "jolt-field", "jolt-poly", @@ -261,7 +258,7 @@ dependencies = [ [[package]] name = "akita-setup" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-config", "akita-cpu-backend", @@ -276,7 +273,7 @@ dependencies = [ [[package]] name = "akita-sumcheck" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-algebra", "akita-error", @@ -289,18 +286,19 @@ dependencies = [ [[package]] name = "akita-transcript" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-error", "jolt-field", - "jolt-inlines-blake2", - "spongefish 0.7.4", + "jolt-transcript", + "sha3 0.12.0", + "spongefish", ] [[package]] name = "akita-types" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-algebra", "akita-challenges", @@ -319,7 +317,7 @@ dependencies = [ [[package]] name = "akita-verifier" version = "0.1.0" -source = "git+https://github.com/Acentelles/akita-lz.git?rev=f24c420313029efcc4baed5c3835e49f65d99acc#f24c420313029efcc4baed5c3835e49f65d99acc" +source = "git+https://github.com/LayerZero-Labs/akita.git?rev=0ac494cad881b8f8e01c6bad16c1e171e12e402d#0ac494cad881b8f8e01c6bad16c1e171e12e402d" dependencies = [ "akita-algebra", "akita-challenges", @@ -856,7 +854,7 @@ dependencies = [ "fnv", "hashbrown 0.15.5", "itertools 0.13.0", - "num-bigint 0.4.6", + "num-bigint", "num-integer", "num-traits", "rayon", @@ -874,7 +872,7 @@ dependencies = [ "ark-serialize 0.3.0", "ark-std 0.3.0", "derivative", - "num-bigint 0.4.6", + "num-bigint", "num-traits", "paste", "rustc_version 0.3.3", @@ -894,7 +892,7 @@ dependencies = [ "derivative", "digest 0.10.7", "itertools 0.10.5", - "num-bigint 0.4.6", + "num-bigint", "num-traits", "paste", "rustc_version 0.4.1", @@ -915,7 +913,7 @@ dependencies = [ "digest 0.10.7", "educe", "itertools 0.13.0", - "num-bigint 0.4.6", + "num-bigint", "num-traits", "paste", "rayon", @@ -934,7 +932,7 @@ dependencies = [ "ark-std 0.6.0", "digest 0.10.7", "educe", - "num-bigint 0.4.6", + "num-bigint", "num-traits", "zeroize", ] @@ -984,7 +982,7 @@ version = "0.3.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "db2fd794a08ccb318058009eefdf15bcaaaaf6f8161eb3345f907222bac38b20" dependencies = [ - "num-bigint 0.4.6", + "num-bigint", "num-traits", "quote", "syn 1.0.109", @@ -996,7 +994,7 @@ version = "0.4.2" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "7abe79b0e4288889c4574159ab790824d0033b9fdcb2a112a3182fac2e514565" dependencies = [ - "num-bigint 0.4.6", + "num-bigint", "num-traits", "proc-macro2", "quote", @@ -1008,7 +1006,7 @@ name = "ark-ff-macros" version = "0.5.0" source = "git+https://github.com/a16z/arkworks-algebra?branch=dev%2Ftwist-shout#b8f0f5129501c42c8a934f4832746d335c8f8ca1" dependencies = [ - "num-bigint 0.4.6", + "num-bigint", "num-traits", "proc-macro2", "quote", @@ -1021,7 +1019,7 @@ version = "0.6.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "4a0691ed21ef00ef89c1e9bda832eba493dda3ec2f8d892fb25b705f73f06bb8" dependencies = [ - "num-bigint 0.4.6", + "num-bigint", "num-traits", "proc-macro2", "quote", @@ -1091,7 +1089,7 @@ checksum = "adb7b85a02b83d2f22f89bd5cac66c9c89474240cb6207cb1efc16d098e822a5" dependencies = [ "ark-std 0.4.0", "digest 0.10.7", - "num-bigint 0.4.6", + "num-bigint", ] [[package]] @@ -1103,7 +1101,7 @@ dependencies = [ "ark-std 0.5.0", "arrayvec", "digest 0.10.7", - "num-bigint 0.4.6", + "num-bigint", "rayon", ] @@ -1116,7 +1114,7 @@ dependencies = [ "ark-serialize-derive 0.6.0", "ark-std 0.6.0", "digest 0.10.7", - "num-bigint 0.4.6", + "num-bigint", "serde_with", ] @@ -3305,6 +3303,7 @@ dependencies = [ "akita-planner", "akita-schedules", "akita-types", + "akita-verifier", "bincode 2.0.1", "jolt-claims", "jolt-crypto", @@ -3386,7 +3385,7 @@ dependencies = [ "jolt-field", "jolt-poly", "jolt-transcript", - "num-bigint 0.4.6", + "num-bigint", "num-integer", "num-traits", "rand_chacha 0.3.1", @@ -3462,7 +3461,7 @@ dependencies = [ "serde", "serde_json", "sha2 0.11.1", - "spongefish 0.8.0", + "spongefish", "tempfile", "tracer", "tracing", @@ -3491,14 +3490,14 @@ dependencies = [ "cc", "criterion", "jolt-riscv", - "num-bigint 0.4.6", + "num-bigint", "num-traits", "rand 0.8.7", "rand_chacha 0.3.1", "rand_core 0.6.4", "rayon", "serde", - "spongefish 0.8.0", + "spongefish", "thiserror 2.0.20", ] @@ -3593,7 +3592,7 @@ dependencies = [ "ark-ff 0.5.0", "ark-grumpkin", "jolt-inlines-sdk", - "num-bigint 0.4.6", + "num-bigint", "num-integer", "serde", "tracer", @@ -3628,7 +3627,7 @@ dependencies = [ "ark-ff 0.5.0", "ark-secp256r1", "jolt-inlines-sdk", - "num-bigint 0.4.6", + "num-bigint", "p256", "rand 0.10.2", "serde", @@ -3644,7 +3643,7 @@ dependencies = [ "jolt-platform", "jolt-program", "jolt-riscv", - "num-bigint 0.4.6", + "num-bigint", "rand 0.8.7", "tracer", ] @@ -3656,7 +3655,7 @@ dependencies = [ "ark-ff 0.5.0", "ark-secp256k1", "jolt-inlines-sdk", - "num-bigint 0.4.6", + "num-bigint", "num-integer", "serde", "tracer", @@ -3773,7 +3772,7 @@ dependencies = [ "ark-serialize 0.5.0", "ark-std 0.5.0", "arrayvec", - "num-bigint 0.4.6", + "num-bigint", "num-integer", "num-rational", "num-traits", @@ -4021,10 +4020,10 @@ dependencies = [ "jolt-field", "jolt-inlines-blake2", "light-poseidon", - "num-bigint 0.4.6", + "num-bigint", "sha3 0.12.0", "shake", - "spongefish 0.8.0", + "spongefish", ] [[package]] @@ -4132,15 +4131,6 @@ dependencies = [ "sha2 0.10.9", ] -[[package]] -name = "keccak" -version = "0.1.6" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "cb26cec98cce3a3d96cbb7bced3c4b16e3d13f27ec56dbd62cbc8f39cfb9d653" -dependencies = [ - "cpufeatures 0.2.17", -] - [[package]] name = "keccak" version = "0.2.0" @@ -4214,7 +4204,7 @@ checksum = "29d3992daf44efce5f36b8e61dc5373ee5ff7485cc59d02f5d8afac8a57067eb" dependencies = [ "ark-bn254", "ark-ff 0.5.0", - "num-bigint 0.4.6", + "num-bigint", "thiserror 1.0.69", ] @@ -4504,7 +4494,7 @@ version = "0.4.3" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "35bd024e8b2ff75562e5f34e7f4905839deb4b22955ef5e73d2fea1b9813cb23" dependencies = [ - "num-bigint 0.4.6", + "num-bigint", "num-complex", "num-integer", "num-iter", @@ -4522,16 +4512,6 @@ dependencies = [ "num-traits", ] -[[package]] -name = "num-bigint" -version = "0.5.1" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "93e7820bc0a80a0238e650327316f929ba18d5be054b647490a3a6a339f3e7c0" -dependencies = [ - "num-integer", - "num-traits", -] - [[package]] name = "num-complex" version = "0.4.6" @@ -4594,7 +4574,7 @@ version = "0.4.2" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "f83d14da390562dca69fc84082e73e548e1ad308d24accdedd2720017cb37824" dependencies = [ - "num-bigint 0.4.6", + "num-bigint", "num-integer", "num-traits", ] @@ -4812,171 +4792,6 @@ dependencies = [ "jolt-sdk", ] -[[package]] -name = "p3-challenger" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "84d5d5e1ecf2c80b09b48ce870e8abd08b643454101c5dc9d0fd71bfbd78224d" -dependencies = [ - "p3-field", - "p3-maybe-rayon", - "p3-monty-31", - "p3-symmetric", - "p3-util", - "tracing", -] - -[[package]] -name = "p3-dft" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "4321a952da2721ecd85ca593ea189798dfb4e439a2cc1378ce1442091880f173" -dependencies = [ - "itertools 0.15.0", - "p3-field", - "p3-matrix", - "p3-maybe-rayon", - "p3-util", - "spin 0.12.3", - "tracing", -] - -[[package]] -name = "p3-field" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "53db75d38e04fc255826f388eca9d05976733dc9754aa3db411bc9ea1a37c1a0" -dependencies = [ - "itertools 0.15.0", - "num-bigint 0.5.1", - "p3-maybe-rayon", - "p3-util", - "paste", - "rand 0.10.2", - "serde", - "tracing", -] - -[[package]] -name = "p3-koala-bear" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "70cbc82137c157673e2d33d95f936a94ce237a790d46e0a2b3165dccfc385dd6" -dependencies = [ - "p3-challenger", - "p3-field", - "p3-mds", - "p3-monty-31", - "p3-poseidon1", - "p3-poseidon2", - "p3-symmetric", - "rand 0.10.2", -] - -[[package]] -name = "p3-matrix" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "473eb920c446a6f4536e0d3528fbdca2a23c0e24e1d0d7767452e6d385dd335c" -dependencies = [ - "itertools 0.15.0", - "p3-field", - "p3-maybe-rayon", - "p3-util", - "rand 0.10.2", - "serde", - "tracing", -] - -[[package]] -name = "p3-maybe-rayon" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "e6fddfd435f96394769414cf5590b77058aa506659bf20d6592e9d1989e04440" - -[[package]] -name = "p3-mds" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "551ba0ab2cccd89f85a99450224898aff224e323bbf61f777ba6344f0896ef10" -dependencies = [ - "p3-dft", - "p3-field", - "p3-symmetric", - "p3-util", - "rand 0.10.2", -] - -[[package]] -name = "p3-monty-31" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "871f635f7340cd0868b17e43e0c98fefdafdaed90469d0725caf6d8372a2a47c" -dependencies = [ - "itertools 0.15.0", - "num-bigint 0.5.1", - "p3-dft", - "p3-field", - "p3-matrix", - "p3-maybe-rayon", - "p3-mds", - "p3-poseidon1", - "p3-poseidon2", - "p3-symmetric", - "p3-util", - "paste", - "rand 0.10.2", - "serde", - "spin 0.12.3", - "tracing", -] - -[[package]] -name = "p3-poseidon1" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "8d0d304e9a1f29c0d66534aa84e69528e2118351fdce08dcf5898af4e0fecc32" -dependencies = [ - "p3-field", - "p3-mds", - "p3-symmetric", - "rand 0.10.2", -] - -[[package]] -name = "p3-poseidon2" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "43eb8a73a26d14becaed1c67c3e8a047e4311d7909b402383c82ca9643ba17c6" -dependencies = [ - "p3-field", - "p3-mds", - "p3-symmetric", - "p3-util", - "rand 0.10.2", -] - -[[package]] -name = "p3-symmetric" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "2015ea80cad969b6aabf27a04884286fe1354393b166d968ee0d80a95126b2a4" -dependencies = [ - "itertools 0.15.0", - "p3-field", - "p3-util", - "serde", -] - -[[package]] -name = "p3-util" -version = "0.6.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "6c5466fc40e6df89d3b291a2eff16b33e68e8571207790370137ec18090aadab" -dependencies = [ - "serde", -] - [[package]] name = "page_size" version = "0.6.0" @@ -5943,7 +5758,7 @@ dependencies = [ "bytes", "fastrlp 0.3.1", "fastrlp 0.4.0", - "num-bigint 0.4.6", + "num-bigint", "num-integer", "num-traits", "parity-scale-codec", @@ -6482,7 +6297,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "be176f1a57ce4e3d31c1a166222d9768de5954f811601fb7ca06fc8203905ce1" dependencies = [ "digest 0.11.3", - "keccak 0.2.0", + "keccak", ] [[package]] @@ -6492,7 +6307,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "bc9bad02c26382724b2d2692c6f179285e4b54eeecd7968f52a50059c3c11759" dependencies = [ "digest 0.11.3", - "keccak 0.2.0", + "keccak", "sponge-cursor", ] @@ -6553,7 +6368,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "09057cb2149ad4cbd2da1e26b351f9a4c354219421229c69c3063e6f61947c4a" dependencies = [ "digest 0.11.3", - "keccak 0.2.0", + "keccak", "sponge-cursor", ] @@ -6664,15 +6479,6 @@ dependencies = [ "lock_api", ] -[[package]] -name = "spin" -version = "0.12.3" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "0134f9043ed38b087ac4f7d4af44c79e2c9e5094421fe3164f435ce585953b10" -dependencies = [ - "lock_api", -] - [[package]] name = "spinners" version = "4.2.0" @@ -6719,19 +6525,6 @@ version = "0.1.0" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "3a0219bd7d979d58245a4f41f695e1ac9f8befdffadd7f61f1bae9e39abc6620" -[[package]] -name = "spongefish" -version = "0.7.4" -source = "git+https://github.com/arkworks-rs/spongefish?rev=ef9741346a150039427d9e0c02d6b2d73e93ec81#ef9741346a150039427d9e0c02d6b2d73e93ec81" -dependencies = [ - "blake2 0.11.0", - "digest 0.11.3", - "p3-koala-bear", - "rand 0.8.7", - "sha2 0.11.1", - "sha3 0.11.0", -] - [[package]] name = "spongefish" version = "0.8.0" @@ -6740,7 +6533,7 @@ checksum = "62560b5029264a655fc461a0ecadc4d24862799190897d3225b3272b7a3f13b7" dependencies = [ "digest 0.11.3", "getrandom 0.4.3", - "keccak 0.2.0", + "keccak", "zeroize", ] @@ -8178,13 +7971,13 @@ dependencies = [ "jolt-lookup-tables", "jolt-r1cs", "jolt-riscv", - "num-bigint 0.4.6", + "num-bigint", "proptest", "rand_core 0.6.4", "regex", "serde", "serde_json", - "spongefish 0.8.0", + "spongefish", "strum 0.28.0", "tracer", ] diff --git a/crates/jolt-dory/fuzz/Cargo.lock b/crates/jolt-dory/fuzz/Cargo.lock index b8e8a0550f..92c7d9159f 100644 --- a/crates/jolt-dory/fuzz/Cargo.lock +++ b/crates/jolt-dory/fuzz/Cargo.lock @@ -1167,3 +1167,15 @@ name = "zmij" version = "1.0.23" source = "registry+https://github.com/rust-lang/crates.io-index" checksum = "29666d0abbfad1e3dc4dcf6144730dd3a3ab225bbbdac83319345b1b44ccfc1b" + +[[patch.unused]] +name = "jolt-inlines-blake2" +version = "0.1.0" + +[[patch.unused]] +name = "jolt-inlines-keccak256" +version = "0.1.0" + +[[patch.unused]] +name = "jolt-inlines-ntt" +version = "0.1.0" diff --git a/crates/jolt-openings/fuzz/Cargo.lock b/crates/jolt-openings/fuzz/Cargo.lock index 8289a55561..cc63f095ae 100644 --- a/crates/jolt-openings/fuzz/Cargo.lock +++ b/crates/jolt-openings/fuzz/Cargo.lock @@ -1099,3 +1099,15 @@ dependencies = [ "quote", "syn 2.0.119", ] + +[[patch.unused]] +name = "jolt-inlines-blake2" +version = "0.1.0" + +[[patch.unused]] +name = "jolt-inlines-keccak256" +version = "0.1.0" + +[[patch.unused]] +name = "jolt-inlines-ntt" +version = "0.1.0" diff --git a/crates/jolt-verifier/fuzz/Cargo.lock b/crates/jolt-verifier/fuzz/Cargo.lock index 68d86f52c8..3b3adcf20b 100644 --- a/crates/jolt-verifier/fuzz/Cargo.lock +++ b/crates/jolt-verifier/fuzz/Cargo.lock @@ -1318,3 +1318,15 @@ dependencies = [ "quote", "syn 2.0.119", ] + +[[patch.unused]] +name = "jolt-inlines-blake2" +version = "0.1.0" + +[[patch.unused]] +name = "jolt-inlines-keccak256" +version = "0.1.0" + +[[patch.unused]] +name = "jolt-inlines-ntt" +version = "0.1.0" diff --git a/jolt-eval/fuzz/Cargo.lock b/jolt-eval/fuzz/Cargo.lock index 0526e926d5..8e9aa1beb1 100644 --- a/jolt-eval/fuzz/Cargo.lock +++ b/jolt-eval/fuzz/Cargo.lock @@ -3202,3 +3202,11 @@ checksum = "b8848ee67ecc8aedbaf3e4122217aff892639231befc6a1b58d29fff4c2cabaa" name = "allocative" version = "0.3.4" source = "git+https://github.com/facebookexperimental/allocative?rev=85b773d85d526d068ce94724ff7a7b81203fc95e#85b773d85d526d068ce94724ff7a7b81203fc95e" + +[[patch.unused]] +name = "jolt-inlines-blake2" +version = "0.1.0" + +[[patch.unused]] +name = "jolt-inlines-ntt" +version = "0.1.0"